diff --git "a/data/dm_maths/full_data_2/11153_11255.jsonl" "b/data/dm_maths/full_data_2/11153_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11153_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the common denominator of -61\/400 and 257\/46 - ((-52 + -12)\/(-8) + -4)?\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204)\/5406 + 23\/2014?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*6*(-2 + sqrt(468)).\nAnswer: -72 + 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2152 and 1345.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = 3*z - 2*m - 4, 3*m - 3 = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 939261997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, r: 5, l: 1}. Give prob of picking 2 w and 1 r.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b + 8*b + 160 = 13*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 308146*0.1046\nAnswer: 32232.0716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 + -7 - (-1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32 times -0.069\nAnswer: -2.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-20) + (-41)\/(-5). Suppose 0 = d*j - 14*j + 120. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*u**2 + 5*u**3 - 74*u**2 - 4*u**3 + 63*u**2 + 252*u**2 to w + g*u**2 + k*u**3 + a*u and give g.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2. Let k(z) = -247*z**2 - 22. Let r(q) = 165*q**2 + 14. Let c(h) = -5*k(h) - 8*r(h). What is x(c(p))?\nAnswer: 7225*p**4 + 340*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 8.8. Let w = x + -1. Which is the second biggest value? (a) 0 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c - 133. Determine v(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.307572 rounded to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17382048 and 13036536?\nAnswer: 52146144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 v when three letters picked without replacement from {v: 9, o: 11}.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 309632 by -2.\nAnswer: -154816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 w when three letters picked without replacement from {a: 1, w: 3, v: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 146*y + 11. Let a(h) = -2*h + 35*h + 7 + 87*h - 23*h. Let l(p) = 8*a(p) - 5*x(p). Is l(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3795310 is divided by 137.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33)\/(-7) - 6\/(-21). Suppose n + 17 - y = -3*o, 9 = -2*n - o. What is the units digit of n\/9 - 31\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.7 + -3.6. Let y(z) be the second derivative of z**4\/12 - z**3\/3 - z**2\/2 - z. Let d be y(2). Which is the closest to u? (a) d (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16688268 divided by -873\nAnswer: -19116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7 - n**2 + 9 - 3*n**3 - 3*n + 5*n**3. Suppose -2*t - 6*w + 21 = -w, 2*w = -5*t + 21. Suppose t*l = -l + 8. Give k(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -176 + 332. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkx when three letters picked without replacement from kvvvkkxkkkv.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6277, -50450, -170427, -404110, -789401, -1364202, -2166415, -3233942?\nAnswer: -4604685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (17376\/80 + 15)\/((-2)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -v - 111*v**2 - 430 + 1291*v**2 + 958*v**2 + v wrt v.\nAnswer: 4276*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8186?\nAnswer: 2, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*b**2 + 348*b**3 - 113*b**3 - 121*b**3 - 115*b**3 - 2 + 15*b as r*b**3 + y + g*b + m*b**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 57381933*d**2. Let m(c) = c**2. Calculate g(m(w)).\nAnswer: 57381933*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 10:53 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -1\/18 (c) -12 (d) -0.1 (e) -5 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21615 and 83237?\nAnswer: 163560705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -195 - -206 - ((-3 - -3) + 24) - 1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 7*t**2 - 10*t + 7. What is l(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2. Let q(u) = -83*u**2 - 1. Calculate f(q(n)).\nAnswer: -6889*n**4 - 166*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + b + 2 + b**4 - 3*b + 2*b**3 in the form j*b**4 + q*b + r*b**2 + l + x*b**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178116, -178121, -178126?\nAnswer: -178131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/22 and 103\/5202344.\nAnswer: 57225784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -12. Let i(l) = l**3 + 81*l**2 + 160*l + 240. Let d be i(-79). Let o = d + a. What is the remainder when o is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -21*x. Suppose 0 = a - 5, -2*a = 4*c - 6*c + 6. Suppose 24 = c*b - 14*b. List the prime factors of v(b).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((20 - 13) + (-15)\/(-3)*-5)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/19, 81, -0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*t - 61503 = 60*t. Does 167 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = y + 5*o, 7*o - 4 = -y + 3*o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 + 5 - 6*o**4 + 4*o**4 with respect to o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2344 - -4078. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -55. Let u = -3 - -8. Let a(z) = -u - 4*z + 6*z + 2. Give a(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2563.716 litres?\nAnswer: 2563716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72373 and 223027.\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*b - 2*b - 2 = 0, -v + 5*b = 6. Let c = v + 3. Suppose q = c*q - 3. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7399184 and 49.\nAnswer: 7399233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Let w be 1\/2*12\/(-2). Let g be (-1)\/(34*w\/(-12)). What is the second smallest value in g, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 131665, 131684, 131739, 131848, 132029, 132300, 132679, 133184?\n\"Answer: 3*a**3 - 2*a + 131664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 0.012 (c) 5 (d) -47228 (e) 0.4 (f) -1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 199 - -133. Suppose -5*p - 2*b + 5*b = -844, 4*b + c = 2*p. What is p rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 + 30867402*s**3 - 79399801454619*s**2 + 476397975308184*s - 714596546252592.\nAnswer: -3*(s - 5144564)**2*(s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Give s(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3959.2 - -4045. Let t = 0.027 + -86.027. Let f = j + t. Which is the biggest value? (a) -6 (b) 2\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 244.3 and 0.023?\nAnswer: 5.6189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405 and 29376345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54762114 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1068 divided by -3.\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2794364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21262*j**3 + j**2 - 4120*j wrt j.\nAnswer: 127572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 1066148*l**2 + 1066146*l**2 + 8.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 - 12 - 2*q - 96)*(3*q - 2 + 2).\nAnswer: -6*q**2 - 531*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4372, -18127, -41052, -73147, -114412, -164847?\n\"Answer: -4585*i**2 + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1331) + sqrt(1331)*1)**2.\nAnswer: 31944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33.2 - 33. What is the closest to -5 in 3, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14980*i**4*s**2 - 4*i**2*s**2 + 15*s**2 + 2*s - 722 wrt i.\nAnswer: -59920*i**3*s**2 - 8*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 + 14*y + 11. What is the lowest common multiple of 231 and p(-8)?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 3*l - 3*l - 5 - l**2. Let f(p) = 2*p + 25. Let d be f(-16). What is o(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34494 + 36258. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28, 30, 10, -44, -144, -302, -530, -840?\n\"Answer: -2*o**3 + o**2 + 13*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 2*i + 15, m - 189 = -5*i - 165 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 = -3. Suppose q - 20 = -5*h, h + 0*h = -5*q - 20. Suppose 3*t = 4*d - 32, 7*t = -h*d + 2*t + 75. Solve d = b*m - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2245734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18501538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19552, 19591, 19654, 19741, 19852?\nAnswer: 19987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.27 - 2.07. Let v = 32 - y. Let n = v + 0.2. What is the smallest value in n, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*b = -93*b + 36400000. Round b to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4735256912 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 12 - 188*p + p**2 + 189*p. Let z be q(3). Solve 4 = t + z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pos when three letters picked without replacement from {p: 4, o: 4, s: 8}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -6. Let g be 2 + 0*o\/5. Let l(r) = -4*r**3 - 5*r**2 - 6*r - 5. Let c(y) = y**3 + y**2 + y + 1. Calculate g*l(b) + 10*c(b).\nAnswer: 2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 + 33*z**2 + 103)*(-2*z**2 + 3*z - 3*z) - 4*z**4 + 2*z**4 + 3*z**4.\nAnswer: -65*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130809.\nAnswer: 3, 7, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -125559843 take away 0.05?\nAnswer: -125559843.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12172 <= 231296\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*f - 28*f + 49*f + 2*f)*(5 - 1 + 0).\nAnswer: 332*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, -2\/21, 0.55, 2.8, 2\/11?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {t: 1, g: 2, e: 2, v: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 9\/((-162)\/(-630))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 18*l**2 + 15*l + 28. Let q be h(19). Let z be (3\/((-9)\/12))\/((-24)\/q). Put -3, 1, 6, z in descending order.\nAnswer: 6, 1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 265054 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 - 17 = 2*f, -28 = -3*v + 4*f. Let m be (-6)\/21 + 4\/14. Put m, 2, v in descending order.\nAnswer: v, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461927.5g to kilograms.\nAnswer: 461.9275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*z - 19*z**3 + 19*z**3 - 7*z**4 wrt z.\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k - 85. Let w be b(-18). Solve -5*j - 5*x = -w, -x - x - 4 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(9\/(-2))*15\/340*6618\/1103.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1298*m**4 - 26*m**3 - m**2 + 6570*m + 1 wrt m.\nAnswer: 31152*m - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 8 + 1008*l**2 - 503*l**2 + 0*l**3 - 5*l - 513*l**2. Suppose 0 = 7*x - 2*x + 35. Give r(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llll. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 - 3*f**3 + 5*f**3 - f**2 + f**2 + 3*f**3 + (f - f - 2*f)*(2*f**2 + f**2 - 5*f**2) + 2*f - 2*f - 2*f**3 - 1920 + 15*f**3 + 1920.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.8 and -27.\nAnswer: 345.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 10*h**2 - 13*h + 26. Let y be s(11). Suppose -3*r + 2*r = u - 6, r + y*u - 18 = 0. Which is smaller: r or 88?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/34 + -10\/51. Which is the biggest value? (a) 0.1 (b) i (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*o - 3*t - 3, -5 = -2*o - 3*t. Let x = 9 + 1. Let v = x + o. Calculate the remainder when 23 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 319 = -2*r. Let y = 41 - r. Calculate the remainder when 58 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10044 - -4?\nAnswer: 10048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 11 = -4*k, -4 = -2*k - 0*k + 2*u. Suppose 0*p - 32 = -4*p. Let y be -5 + 6 - p\/(-2). Solve -y*x = z - k, 7*z - 20 = -x + 3*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15*r**3 - r**2 + r + 1. Is w(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*b + 24 = -0*b, -2*i + 2*b = 4. Suppose 5*o + 45 = -0*o. Let a = o - -11. What is the smallest common multiple of a and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222228 and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13488, -54001, -121522, -216051, -337588?\n\"Answer: -13504*y**2 - y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -777733*y. Let n(f) = -2*f. Determine q(n(s)).\nAnswer: 1555466*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*w**5 - 2*w**5 + 8*w**5 + (1 + 2*w**3 - 1)*(-3*w**2 - 4*w**2 + 4*w**2) - w**5 - w**5 - w**5.\nAnswer: 7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -0.0035816124602?\nAnswer: -0.4964183875398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/4)\/(-3) - (-1835307096)\/(-306720). Let b = -89752\/15 - j. Find the common denominator of 45\/14 and b.\nAnswer: 8946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 3*y**2 - 3*y**2)*(155 + 14 + 32) - y**2 + 2*y**2 + 0*y**2.\nAnswer: -1004*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2241873, 2241875, 2241877, 2241879, 2241881, 2241883?\nAnswer: 2241885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -103200\nAnswer: -1\/688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-4)*(-28 + 26). Solve 11*w = t*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10*c - 25. Calculate m(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-17 - (3 + -12)) - -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 - -151. What are the prime factors of c\/4 + -2 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*s + 271*s - 826*s - 764*s.\nAnswer: -978*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2. Let f(l) = 2*l**2 - 118*l. Give f(s(i)).\nAnswer: 2*i**4 + 118*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 13*p**2 - 6037*p - 78639. What is h(-13)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0*z - 4*z + 3*z + 0*z. Let s(q) = 9*q**2. What is s(g(d))?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2193 divide 322035471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3. Suppose r = -u - 0. Suppose 4*q - 4 = -0*q. Put u, q, 4 in descending order.\nAnswer: 4, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**4\/24 + 2*d**2. Let w(q) = -1 + 3*q + 1. What is l(w(z))?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -117939 (base 11) to base 9\nAnswer: -313302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35240, 35239, 35238, 35237, 35236, 35235?\nAnswer: 35234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d + 0 + 6 - 4 - 11 in the form z*d + u and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -111439 times -0.11?\nAnswer: 12258.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/242 and 79\/2?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -11618*v**2 - 3787*v**2 - 4335*v**2 - 9*v + 9*v as a*v**2 + t*v + x and give a.\nAnswer: -19740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 607, -0.3, -1\/7, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*w + 160. Let f be ((-160)\/w - 6) + (-46)\/130. Which is the nearest to f? (a) 0.1 (b) 0.3 (c) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 3, -3, -54.\nAnswer: -54, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 + l + 1. Let f be w(-1). Let u(j) = -3 + 2 - 411273*j**3 + 411272*j**3. Let t(d) = -7*d**3 - d**2 - 4. Calculate f*u(i) + t(i).\nAnswer: -3*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 1 (c) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13*z - 6. Let f be 24*11\/198*(-9)\/2. Let x(v) be the third derivative of v**4\/24 - v**3\/6 + 3*v**2. Give f*x(h) + l(h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -25.1. Suppose 101 - 22 = -101*t - 22. Which is the third smallest value? (a) g (b) -0.4 (c) -5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-2)*6*7\/294?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (12 - (-3 + 6 + -6) - 7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 5*u**3 - 2*u**3 + u**2. Let y(k) = -k - 6. Let o be y(-9). Suppose -1 = -4*c + o*z, -5*c + 2 = -z - 2. Determine q(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 - 146*z + 32*z + 28*z + 87*z + 1992*z**2 - 4 + 2 to the form q*z + i*z**2 + b + p*z**3 and give i.\nAnswer: 1992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8616 and 8526408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22 + 5b9?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m**2 - 2*m - 138. Let f(s) = 4*s**2 + s + 68. Calculate 7*f(i) + 3*z(i).\nAnswer: i**2 + i + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 17*j**3 - 5*j**2 - 23*j - 9. Let a(r) = 9*r**3 - 2*r**2 - 11*r - 5. Let s(d) = -11*a(d) + 6*h(d). What is the second derivative of s(o) wrt o?\nAnswer: 18*o - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i**3 - 27*i - 24*i**3 + 29*i**3 + 25*i.\nAnswer: 36*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 344928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 845 divide 20731230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001832 to 6 decimal places.\nAnswer: 0.000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((sqrt(351)*3)\/sqrt(9))\/sqrt(3) - 5*3*sqrt(325)))**2.\nAnswer: -144*sqrt(13) + 67393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**4 - 4*a**4 - 8*a**4)*(-2*a - 3 + 3) - 3*a**5 - 3*a**5 + 4*a**5.\nAnswer: 32*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 15.4, -1, 0.4, 2348?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2033)\/(-133) - 15 - 76\/70\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 66305.45ml?\nAnswer: 66.30545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4 - 11. Let s(z) = 3 + z + 5 - z**2 - 5 + z**3 + u. Calculate s(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 910 by -2.\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttttttttttk. Give prob of sequence tktt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*o**2 + 3*o**2 + 0*o**2 + o - o**2 - o + 2*o**2 - 2*o**2 + o**2 + (o + 2*o - o)*(-2*o + 3*o + o).\nAnswer: -23*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 + 1418817*y\/2.\nAnswer: -y*(y - 2837634)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1 + 3 + -14. Let j = p - -6. Put -2, 3, j in increasing order.\nAnswer: j, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6619 - 4120. What is the highest common divisor of c and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let n(q) = 5 + 2*q**d - 5 - 4*q**2. Let h(k) = k**2. Determine n(h(b)).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + w + 16 = -3*w, 0 = -3*w - 12. Solve s = -5*i + 4*i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 101330 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-75))\/2)\/((112\/14)\/(-24))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c*l**2 - 32*c*l - 2329*c - 8935972*l**2 - l wrt c.\nAnswer: -3*l**2 - 32*l - 2329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 228798*x - 10524691. Determine j(46).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7441 times 132?\nAnswer: 982212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -358 or -1427\/4?\nAnswer: -1427\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 7*i + 2. What is b(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2 - 0)*0. Let a = 109 + -74. Let v = -38 + a. Sort -4, v, p.\nAnswer: -4, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 154*k**2 - 187*k. Let f(n) = -199743*n**2 - 2*n + 199748*n**2 - 4*n. Determine -187*f(g) + 6*s(g).\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(8 + 0)*(-9)\/(-3)*5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118\/177)\/(16\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33796234 times 1?\nAnswer: -33796234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - s**2 - s - 1. Let o(q) = -4*q + q**2 - 3*q**2 - q**3 - 4 - 2*q**2. Let h = -4119 - -4118. What is h*o(l) + 4*n(l)?\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = -4*u, 0 = -3*u + u + 4*i + 6. Do -1\/20 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47327166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -279, -1857, -6135, -14463, -28191, -48669, -77247, -115275?\n\"Answer: -225*q**3 - 3*q - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364 divided by -6?\nAnswer: -682\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.366722169 and 775.4.\nAnswer: 775.033277831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2.623 (b) -0.1 (c) 0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 151, 241, 353, 493, 667?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*n + 8541, -5*a = 4*n - n + 10704. Is 37\/111*a\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1fd (base 16) to base 10\nAnswer: -509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, 44, -509, 1.09?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -23*a**2. Let q(x) = 3 - 3 + 44*x - 42*x. Determine q(y(r)).\nAnswer: -46*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:04 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k = 5 - 77. Suppose 4*f - 68 = -4*m, k*f - 16 = -7. Calculate the lowest common multiple of 28 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9670\/27 - -358. Let w = 1217 + -25541\/21. Calculate the common denominator of w and i.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 2. Let x = -34.7 - -30.7. What is the third biggest value in 0.3, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*m + 0*m + 6 = -2*q, 4*m - 7*m = 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 14 = -7*y. Let f(b) = 2*b**2 + 10*b + 4. Let d be f(y). Is 13 a factor of (39\/4)\/(6\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*p + 11 + 2*p**2 - 3 - 2*p = 0. Calculate p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q + 2. Let d be i(2). Suppose 2*k + 5*x - 38 = 0, 2*x - 7 - 85 = -4*k. Let z be (k\/d)\/(3\/126*6). What is the greatest common divisor of z and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/5166 and 73\/7380.\nAnswer: 51660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40089*b + 4864 = -39833*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*n**2*u**4 + 6776*n**2 - 2*n*u**2 + 2098*u**5 wrt u?\nAnswer: 600*n**2*u + 125880*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -699 + 6262\/9. What is the common denominator of -3 + ((-224)\/3)\/14 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35.36 - 35. Let w = n - 0.18. Let o = -1.22 - w. Is o bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*d = -63*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-7)\/(-49) + 1904\/49 and 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 30*k**2 - 76*k - 583. Calculate m(33).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:44 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 1. Let f be k(6). Let w = -3 - f. Solve -5*q = -w*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 280.92 * -0.1\nAnswer: -28.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -65\/1653318?\nAnswer: -65\/1653318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/218128 or 1?\nAnswer: 3\/218128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2675 is divided by 65?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12\/7 (b) -2\/21 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2 + 47. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.328 rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {z: 2, k: 1, i: 1, r: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -31223130 (base 4) to base 3\nAnswer: -2211212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 15 = -5*h. Suppose 0 = -h*g + 15, 0*g + g = -3*y + 65. What is the remainder when 57 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 6. Let z = x - -6. Let s(j) = j**3 - 5*j**2 + 6. What are the prime factors of s(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -2*a - 558 + 343 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 14487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/252522 + 7912265\/22979502. Calculate the common denominator of -20\/49 and t.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 3)*(2*l + 2*l - 2*l) + 42 - 16*l - 42)*(0*l**2 + 3*l**2 - 4*l**2) + (0 - l + 0)*(0*l**2 + 3*l**2 - 5*l**2) - 52 + 52 - 5*l**3.\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a + 1b0?\nAnswer: 1ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1423322 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*u + 2 = f - 5, 0 = -2*u - 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 501313, 1002625, 1503937, 2005249, 2506561, 3007873?\nAnswer: 3509185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a + 0*a + 2*a. Let f(v) = -v**2. Determine f(m(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/24 + y**3\/12 + y**2\/2 - 18*y. Factor j(s).\nAnswer: -(s - 2)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let d be (-3)\/6 - (-1)\/f. Suppose d*u + 14 = 2*u. What is the least common multiple of u and 23?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -68*t - 255. Let v be x(-4). Suppose -2*j - 2 - 12 = 5*y, -5*y - j - v = 0. Let c(f) = -3*f - 1. Calculate c(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (54 - 29)*(-2)\/(-5). Let z = s - -79. What is the remainder when z is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2 - ((-224)\/(-14) - 15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*a - 1. Let o be 66*a*1\/(-3). Let q = -49 + 104. Calculate the highest common divisor of o and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42310 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2465, 2, -7, -1 in increasing order.\nAnswer: -7, -1, 2, 2465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2 - 1556587864*a + 151435361147005156 = 0. Calculate a.\nAnswer: 194573483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -2 + 0 - -4. Let v(i) = -i**3 + 5*i**2 + 4*i - 22. Let r be v(s). Sort 0, 18, r in increasing order.\nAnswer: r, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 + (44 - 27) + -120?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -53*k - 3545. What is o(-67)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120638346*a**5 - 3850*a - 379 wrt a.\nAnswer: -2412766920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 31 = 2*n - w, 0 = 4*w - 12. Suppose 0 = -2*m + 2*o + 62 + n, -2*o = 5*m - 218. Calculate the remainder when m is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:47 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -20*l - 3*l**3 + l**2 + 21*l + 2*l**3 - 797. Let z be q(0). Let v = 1750 + z. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - -54. Let f be ((-1)\/(-6))\/((-2)\/(-8)). Which is the nearest to f? (a) r (b) -3\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2122 + -0.18322. Let c = 51.971 - 52. Let s = b + c. Round s to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)\/g)\/g)**(-27)*(g**2)**(13\/2) assuming g is positive.\nAnswer: g**121","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + -1 - (-13 - -15). Sort 0, s, -4, 2.\nAnswer: s, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -205\/3112066 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6099422657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5862445 divided by -5?\nAnswer: -1172489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4650\/(-200))\/(-93)*1\/((-2)\/(-4)). Let i(y) be the first derivative of a*y**2 + 2 + 5*y. Determine i(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 240079791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 9*x**2 - 7*x - 8. Let n be u(8). Suppose n*l = -3*l - 3. Let d be 2 - 1 - (-1 + 1). Which is smaller: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 539375 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, -2\/11, -101, 1\/2 in increasing order.\nAnswer: -101, -2\/11, 0, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + y - 3*y = 281996, 4*y - 282008 = 3*z. Round z to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6255092, 6255061, 6255016, 6254951, 6254860, 6254737, 6254576, 6254371?\nAnswer: 6254116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 76*t**2 + 1766*t - 11504. Give p(34).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1144 and -10.94.\nAnswer: -10.8256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 78855687.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-15))\/((-8)\/20).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4\/2 - 8025*g**3\/2 + 359259*g**2\/2 - 1268615*g\/2 - 817950 = 0.\nAnswer: -1, 5, 41, 7980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 - 20*i**2 + 2*i**3 + 296*i**4 + 4 - 144*i**4 - 84*i**4 - 2 in the form d*i**2 + l + f*i**4 + o*i**3 + u*i and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2369.67 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s*s\/(s\/(s\/(s\/(s**(-8)\/s*s)))))*s))**(-18)*s*s**(-11\/7)*s*s**(-5)\/s)**(-21) assuming s is positive.\nAnswer: s**(-2529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-27)\/6)\/3)\/(4095\/1680)\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 + 11*d**2 + 13*d + 12. Let l(x) = -5*x**3 + x**2 + 1. Let m(v) = l(v) + y(v). What is m(13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*y + 0*y**2 + 9*y**3 + 0*y**2 wrt y.\nAnswer: 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 78*x - 108*x - 59*x + 78*x. Let b(f) = f**2 + 0*f**2 + f**2. Give b(l(d)).\nAnswer: 242*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 - -296. Suppose 54*d + x = 57*d. Calculate the remainder when 57 is divided by d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740 = 44*g + 256 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -37*i**2\/2 - 3. Let g(t) = -3*t + 14. Let f(w) = w - 7. Let n(c) = -2*f(c) - g(c). Give n(v(z)).\nAnswer: -37*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/8 and -47\/1198.\nAnswer: 4792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {w: 2, b: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2 - 156858*k - 156860 = 0.\nAnswer: -1, 78430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by -14.\nAnswer: 65\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.1, -2227\/5, -3\/8, -0.4, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Suppose 29 = 2*k - j, 5*k + 4*j = 2 + 51. Let g(r) = -5*r**2 - 10*r**2 + k*r**2. Calculate g(v(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.6, 3\/8, -0.04, -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 79*t**2 - 10*t + 17. What is the hundreds digit of o(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 52 = -k - a, a - 60 = 4*k. Let p = k - -26. What is the remainder when p is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1116 - 1116.000000203. Round i to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.153 + -101.153. Let m = 102 + n. Which is the smallest value? (a) 0.03 (b) m (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30296?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 3*v**2 + 3*v - 4. Suppose -2*n + 4 = -4. Let m = 4 + n. Let g = m - 5. Calculate u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -55. Let h(s) = 7*s**2 - 4*s - 4. What is the remainder when h(-1) is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -754*3\/(-24) - 3\/(-4). Suppose -2*g + g + 81 = 0. Let f = g - 43. Calculate the greatest common factor of f and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {j: 2, o: 1, l: 2, e: 3, w: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 - 64) + (-1 - 11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149896 - 49680 = -111*m - 17758. Solve -1629*v = -m*v + 27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 12*q**2 + 25*q - 33. Determine y(6).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 - ((-4 - 3) + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 701090*z - 6017424*z - 1687733*z.\nAnswer: -7004067*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by (2\/4)\/((1\/64)\/1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -4*q**2 - 16*q + 9. Let i be z(-6). Suppose -8*v = -10*v - 2. Which is the second smallest value? (a) v (b) -2\/13 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 63*p - 2. Let j = -14 - -15. Is 23 a factor of b(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -48\/5?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 97*n - 205. Let h(k) = 3*k - 1. Let w(f) = -6*h(f) + p(f). Is w(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 t, and 1 d when four letters picked without replacement from {t: 1, k: 2, d: 6, c: 9, i: 1}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**2 - 1. Suppose -2*u - 2 = -4*o, -2*o = -3*o - 4*u - 13. Let j be p(o). Suppose -20 = -78*k + 74*k. Sort -0.2, k, j in descending order.\nAnswer: k, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 i, and 1 e when three letters picked without replacement from coxoioxoxex.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794740 + 799082 = -334*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/35*14\/2. Suppose -64 = s*j - 2*j. What is the tens digit of (-1)\/(-2)*-2 - j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 41*i - 232. List the prime factors of f(6).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63290 to the nearest one thousand.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13353486\/(-9))\/((-4)\/6). Suppose m - 18225572 = -u. Suppose -4*d + 3*w = 12800009, -4*w + w - u = 5*d. Round d to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2102618 and 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 8. Suppose -2*z + 5*z - i = 0. What is the third derivative of j + 0*j + j**4 - j + 6*j**z wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 3*p + 3384. Suppose 4*s + p = 8*s - 5*a, -3*s + 450 = 3*a. List the prime factors of s.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12412 is divided by 12238?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r**2 - 9*r + 4. Let f be q(-9). Suppose -777 - f = -4*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1532 and 54?\nAnswer: 41364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180680534.\nAnswer: 2, 3, 11, 1823, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/(w**0\/w*w))\/w)**36\/((w*w*(w\/(w\/(w\/((w*w**(-3\/2)*w)\/w))))\/w*w*w)\/(w\/(w\/w**(-7)))) assuming w is positive.\nAnswer: w**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 28 = -4*u, 6*u = 2*u + 4. Factor -2 - 6*h + z*h**2 - 2 + 66*h**3 - 80*h**3.\nAnswer: -2*(h - 1)**2*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**2 + 2*q + 3. Let s(c) = 1. What is -r(b) + 5*s(b)?\nAnswer: 5*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7189e (base 15) to base 3\nAnswer: -200021102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) + 2)*3 + sqrt(192) + -1)*-4)**2 - (-3*sqrt(27)*6 - (4 + 3 + (sqrt(3)*-2)**2)).\nAnswer: 1814*sqrt(3) + 6227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-13))\/((-96)\/(-624))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyoomymyy. What is prob of sequence ooo?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230323012 - -221321?\nAnswer: -230101031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = 8*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -67, -131, -193, -253?\n\"Answer: b**2 - 67*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2610, -2, 1660 in descending order.\nAnswer: 1660, -2, -2610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3731645 or -3731677?\nAnswer: -3731677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-6)*(-12)\/(-10). Let n = -36 - -33. Let s(q) = 3*q**3 + 4*q**2 + 4*q - 6. Let v(b) = 2*b**3 + 3*b**2 + 3*b - 5. What is n*s(o) + x*v(o)?\nAnswer: -o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 6*f**2. Let x be l(6). Suppose -2*p + x*p = -2*r - 2, 3*p = -5*r + 3. What is the second derivative of -2*q + 0*q**4 - 2*q**4 + r*q**4 wrt q?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1915*r + 1648*r = -2463 + 6468 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 449986880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 + 2260*o**3 - 2245*o**2 - 4510*o.\nAnswer: -5*o*(o - 451)*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 65d7 - 26?\nAnswer: 65b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66091741*w**2*z - w*z + 39*z - 697998 wrt w.\nAnswer: 132183482*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 8. Let n(m) = -15*m - 132. Let i(u) = -33*b(u) + 2*n(u). Let g(o) = -8*o**2 - 9. Calculate i(g(t)).\nAnswer: -24*t**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 1. Let y(l) = 3*l**3 - 4*l**2 - 5*l - 5. Let t be -1*15*(-1)\/3. Calculate t*g(x) - y(x).\nAnswer: -3*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t + 37. Give z(5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*m**3 - 1 - 42*m + 18*m**3 + 1 + 9*m**2 - 100*m wrt m?\nAnswer: -6*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 1. What is the remainder when 0 + 74\/2*1 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -24*i**3 - 3*i**2 + 2. Let t(b) = -121*b**3 - 16*b**2 + 10. Let j = -26 - -28. Let r(l) = j*t(l) - 11*f(l). Find the third derivative of r(m) wrt m.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**2 + x - 1. Let b(w) = 2*w - 7. Let k be b(5). Let r = k - 5. Let v be m(r). Solve 0 = 5*l + 12 + v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -202\/7 smaller than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - a**2 - 3 - 8*a.\nAnswer: -a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5207910?\nAnswer: 2, 3, 5, 67, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 7)*(-2)\/(-3). Let t(j) = -j**2 + 3*j + 1. Let r be t(p). Let b = r - -2. Let k(g) = g**3 + 2*g + 1. Determine k(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 346\/26 + -2 + 2. Let z = -1219\/117 + k. Find the common denominator of 138\/(-16) + 6\/12 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/6 + (-27)\/18. Which is the closest to -1? (a) v (b) -3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -219 + 222. What is the second smallest value in 0.5, -0.2, s, -4\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a gram in milligrams?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7905 (base 14) to base 15.\nAnswer: -6337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**6\/12 - b**5\/4 + 5*b**4\/8 + 5*b**3\/3 - 19*b**2 - 4*b + 6. Let j(i) be the first derivative of d(i). Factor j(u).\nAnswer: -5*(u - 1)*(u + 2)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(8)*-3)**2.\nAnswer: 36*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/4)*j*j**(10\/7)\/j*(j\/(j*j**(-1\/3)\/j)*j)\/((j\/((j**9*j)\/j))\/j))**(-5) assuming j is positive.\nAnswer: j**(-5885\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*k - 24 = 0, 336 - 344 = 2*t - 4*k for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -2\/19 (b) -6\/11 (c) -0.41 (d) -0.96\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.117 times 2?\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 294 - 7936\/27. Let s(z) = z**2 + 3*z - 71. Let b be s(7). Are b and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 3*a + 3*a)*(-99 - 93 + 124).\nAnswer: -272*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/17)*w**(8\/3)*w)\/(w**(-3)\/w*w)**43)**(-27) assuming w is positive.\nAnswer: w**(-61299\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -12, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3*6)\/(3\/(-6)). Calculate the smallest common multiple of 2 and -6*6\/k - -17.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 7. Let n(w) = 2855*w**2. What is x(n(t))?\nAnswer: 2855*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + u)*(0*u + 0*u - 2*u) + (u - 6*u + 3*u)*(-4*u + 4*u + u) - 2*u**2 + 2*u**2 + u**2 - 2*u**2 + 4*u**2 + 3*u**2 + 4*u**2 + 53*u**2 + 6*u**2.\nAnswer: 65*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*k**2 - 207*k**2 + 35*k**6 + 82*k**2 wrt k.\nAnswer: 4200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - ((17 - 23) + 60)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(3 + (-7)\/3). Let r(u) = u**2 + 8*u + 2. What is r(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12014239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Suppose 4*j - 25 = -2*n + 5*j, 3*n = 3*j + 36. What is the third biggest value in s, n, 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*j + 3*h - 2*h, -54 = -3*j - 2*h. Suppose 2*t + j = -t. What is the remainder when (-75)\/t*2*1 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10447*x**3 - 272*x**2 + 2*x + 11 wrt x?\nAnswer: 62682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 107151+0.07\nAnswer: 107151.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/61 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2608?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - u + 13. Let s be c(-4). Suppose 4*t + 20 = -2*j, 20 = -3*t - 3*j - 1. Let b be ((-109)\/(-8) + -14)*-16. Put -5, b, t, s in increasing order.\nAnswer: -5, t, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 20*v = -756. What is the highest common divisor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppkppkppppkpppkpp. Give prob of picking 2 k and 2 p.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, g: 2, h: 2}. What is prob of sequence kgh?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*u + 0 - 382*u**2 + 379*u**2 - 1 + 19*u.\nAnswer: -3*u**2 + 72*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 511*l - 4801. Calculate n(6).\nAnswer: -1735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 7*l**2 - 7*l + 3. Let y(k) be the first derivative of k**4\/4 + 9*k**3 + 13*k**2 + 8*k + 41. Let q be y(-26). Give p(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*i + 15, 3*n + 0*n + i + 10 = 0. Let k(o) = -6*o**2 - 43*o + 3. Is k(n) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtvs when four letters picked without replacement from {l: 1, v: 4, g: 2, t: 2, m: 1, s: 4}?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*f = -2, 11*j = 12*j - 4*f + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 5, 734 in descending order.\nAnswer: 734, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 9 + -16 + (-23)\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 1 + -1 - -7*(-876)\/840\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 - 1. Let r = -4.94 - 0.06. Let y = 15 + -10. Put y, x, r in decreasing order.\nAnswer: y, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 take away 9?\nAnswer: -8.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1506 divide 65928888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15*((-21)\/9)\/7 - (-63 + 69). Let q = 5 + -4.2. Sort u, 0, q, -2.\nAnswer: -2, u, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2326 or -2325?\nAnswer: -2325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 365093385 and 1005?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -912 + 599. Let m = 313 + j. Let z = 231\/4 + -58. Is m greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182801845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 - 240*g + 95661. Determine f(-223).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194756759 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 38*r - 104. Solve r = -2*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 5)*(14*g - 3*g + 4*g + 2*g + 0*g - g + (4 + 0 - 2)*(-1 - 2*g + 1)).\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 821145 and 189495?\nAnswer: 2463435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a + 0*a + 2 - a)*(182 - 1800 + 8655)*(-3*a + a + 0*a) in the form n + l*a**2 + x*a and give l.\nAnswer: -28148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 323254455 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 19 = 5*j, -15 = 5*b + 8*j - 3*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 67, 1\/655, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/35154454 and 91\/294542?\nAnswer: 597625718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/7)*n**21\/n)\/((n**0\/n)\/n*n**(-2\/59)) assuming n is positive.\nAnswer: n**(9395\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -1\/10*w**5 - 2*w**2 + 0 - 1\/6*w**3 + 0*w**4 + 0*w. Differentiate f(z) wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 741188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g**3 + 22*g**2 + 62*g + 539. What are the prime factors of d(-10)?\nAnswer: 13, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21455 is divided by 113.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 7*t**2 + 2*t - 7. Let k be i(7). Let o be k - 1 - (2 - 0). Let c(b) = -b**2 - 4*b + 2. Let r be c(-5). Put r, o, 0 in decreasing order.\nAnswer: o, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 130\/(-3))*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*b**2 + 0*b**4 + 18*b + 5*b**4 - 8*b**4.\nAnswer: -3*b*(b - 3)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024520749.\nAnswer: 7, 146360107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 293964.09 milliseconds?\nAnswer: 4.8994015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296589 is divided by 44.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llw when three letters picked without replacement from {w: 8, l: 7, i: 5}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5245.004 + -5229. Let a = -16 + k. Round a to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 2:05 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-3)*(-384)\/80*(-1562)\/(-4). Is m equal to 3122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -79, -179, -319?\n\"Answer: -20*t**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-20 - (-25 + (-7 - -2)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - -8. Let q(x) = -x**2 - 14. Let f be q(0). Let z be 144\/14 - (-4)\/f. Calculate the highest common factor of z and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -11) + 16 + -30.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1227.4 - -1227. Which is the biggest value? (a) -0.12 (b) 2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 + 4204*c\/11 + 12630\/11.\nAnswer: -2*(c - 2105)*(c + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v - 32 + 32 in the form o*v + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-9))\/((-10)\/15). Suppose 15 = -5*k, x + 4*k = c*x - 9. Let j(l) = -7*l + 1. What is the tens digit of j(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8387907, -33551598, -75491083, -134206362?\nAnswer: -209697435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 smaller than 1596\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46593?\nAnswer: 3, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**2 + 161740*o - 161736 = 0.\nAnswer: 1, 40434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6063 - -6189.72. Let y = 2.28 + h. Let z = y + -128.9999903. What is z rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/9 (b) -2.9 (c) 197\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 335*u - 331*u + 86, 4*u = -5*k - 101 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + 0*p**2 + 0*p**2)*(-2 + 9 - 1)*(0 + 2 - 1) to c + w*p + q*p**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.24591 hours in minutes?\nAnswer: 4034.7546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1136377260 + 0?\nAnswer: -1136377260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002118 rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7*z*z*z*z**(-1\/14)\/z)\/(z*z**(-2\/7)*z*z*z)**42 assuming z is positive.\nAnswer: z**(-2059\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0.5. Let y = z - -0.00000096. What is y rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 860610, 1721216, 2581822?\nAnswer: 3442428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-6 + (17 - 8) - 23).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-17)\/a*a)\/a*a)\/a)\/a)\/a*((((a\/a**1)\/a)\/a)\/a)\/a assuming a is positive.\nAnswer: a**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2*t - 14 = 0, 620*x - 617*x + 14 = -2*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2616872566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*8\/(-32) - 22.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 4, w: 2, s: 2, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 3:51 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 255014*x + 201285 wrt x?\nAnswer: 255014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 m when four letters picked without replacement from {m: 16, t: 1, j: 3}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/(-7))\/2 + 71322\/42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 + 0*v + 8*v - 12*v + 5*v.\nAnswer: 8*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2.76?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t - 2*t - t - 1)*(-24 + 0*t - 2*t + 23) in the form c*t**2 + q + u*t and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 3920.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*u**2 - 9*u**2 - 12*u**2 + 2)*(-1728 + 1728 + 149*u).\nAnswer: 149*u**3 + 298*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1992 is divided by 53?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 2*a**2 - 3*a + 4. Calculate j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**2 + 4*z + 4. Let g(f) = 4*f**2 - 5*f - 4. Let o(h) = -25*h + 4. Let l be o(0). Give l*g(t) + 5*a(t).\nAnswer: t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1675?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -156039.7 and 546.267?\nAnswer: 156585.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -13) + 0 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 32*i**2 + 18*i + 21. Let z(d) = -63*d**2 - 36*d - 43. Let b(y) = 9*m(y) + 4*z(y). Is b(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 612*o**6 - 1654*o**3 - 4*o**2 - 119639.\nAnswer: 73440*o**3 - 9924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 9*x**2 + 2*x + 2. Let n(p) = -p**2 - 1. Let l(d) = -c(d) - 4*n(d). Let i be l(-5). Find the common denominator of 2 - 0 - 1\/i and -125\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187*i**2*k**4 - 3*i**2*k**2 + 2*i**2*k + 19181*i*k**4 - 614879*i*k**2 + 2*k**2 - 1 wrt k.\nAnswer: -4488*i**2*k + 460344*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-84)\/(-4) + (-2 - -1). Suppose -4*q = v - 128. Calculate the greatest common divisor of 63 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4203522 divided by 77843?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**4\/12 + k**3\/6 + k**2\/2 + 6*k. Let i(x) = 2*x**3 + 2*x**2 + 2*x - 4. Let s(l) = i(l) - 2*n(l). Differentiate s(t) wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 174, 669, 1674, 3369, 5934, 9549?\nAnswer: 14394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 + 149. Let c(w) = -w + 22. Let x be c(f). Solve x = 5*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Let l = y - -3. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49641.18l in millilitres?\nAnswer: 49641180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 + 169. Let n = -23 + r. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2eef6 (base 16) in base 6?\nAnswer: -4042010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7722, 1374, 10470?\nAnswer: 19566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 35753.28.\nAnswer: 35756.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = o + g - 46, 0 = -5*o + 2*g + 295. Let h = 71 - o. Let u be (2\/h)\/(-2 + (-84)\/(-15)). What is the nearest to 0 in -4, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 3*v + 1. Let i(s) = -s**2 - 7*s + 1. What is 7*h(r) - 3*i(r)?\nAnswer: -4*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 3269?\nAnswer: 980.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:40 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -305.76 + -20.\nAnswer: -325.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b*r**4 - 2*b*r**2 - 868109*b - 60406*r**4 - 210*r**3 - 9 wrt r.\nAnswer: -72*b*r - 1449744*r - 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13282 and 1872075.\nAnswer: 108580350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, -4, 3.\nAnswer: -4, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a1890 (base 14) in base 15?\nAnswer: 7a218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from memhemm. What is prob of picking 1 h and 2 m?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42.59999906 + 42.6. Round r to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4 - 7 + u + 12. Let c(i) = -21*i**2 - i + 13. Let v(t) = -c(t) - q(t). What is the first derivative of v(p) wrt p?\nAnswer: 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2. Let z(q) = -77*q**2 - 98*q + 49. Let p(i) = i**2 + 2*i - 1. Let f(b) = -98*p(b) - 2*z(b). Give f(x(n)).\nAnswer: 1400*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 4*o**2 - 4396*o + 3*o**3 + 2196*o + 2*o**3 + 2199*o as k*o**2 + c*o + m*o**3 + f and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4338 - -4337.7. Which is the fourth smallest value? (a) t (b) -2 (c) 2 (d) 0 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-945)\/18)*(-35)\/1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**6\/6 + 114*b**5\/5 + 2*b**3\/3 - 4823*b**2\/2 + 795. Find the second derivative of r(y) wrt y.\nAnswer: -20*y**3 + 1368*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s - 33386. Let b(g) = -g. Calculate x(b(i)).\nAnswer: -11*i - 33386","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meg when three letters picked without replacement from {l: 1, m: 1, h: 3, e: 5, g: 2}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(612) - 1*sqrt(612)) + 3 - (sqrt(612) + 0 + (sqrt(612)*4 - sqrt(612)) + sqrt(612)))**2*5.\nAnswer: -900*sqrt(17) + 76546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 22. Let z be (-5)\/(-20) + c\/(-8). Let m(v) = -v**3 + 5*v**2 + 16*v - 4. Let p be m(7). Solve z = 2*o - p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/4*(-68)\/(-6). Let j = x + -7. Let d(o) = 2*o - j + 10. Let w(c) = -2*c**2. Give w(d(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 73573 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: Evaluate -68 + 166 + (-12168)\/96.\nAnswer: -115\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -208*u + 52*u + 54*u + 49*u - 30 + 65*u. What is k(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 27 = -2*t + 5*n, 2*n = 2*t + 14. Let o = 10 + t. What is the second derivative of 6*m**2 + 3*m + 3*m**4 - 6*m**o wrt m?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**2 + 3*a**2 - 5*a**2)*(-63*a - 68*a + 42*a + (-2 - 4 + 5)*(3*a - 2*a + 0*a) - 2*a + 4*a - 3*a) to n + k*a**2 + x*a**3 + f*a and give x.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 86 - 7 + 38358*v - 38365*v wrt v.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 7 + -10 + -5 + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxmxmeppxexepe. Give prob of picking 1 p and 1 x.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4246087720 to the nearest one million.\nAnswer: -4246000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 432329 = 23275. What is the ten thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4\/9 - 151838*s**3\/9 + 759148*s**2\/9 - 607312*s\/9 = 0.\nAnswer: 0, 1, 4, 75914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.61 - -5.61. Which is the nearest to -1? (a) -3128 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2015 or -165173\/82?\nAnswer: -165173\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from {h: 8, j: 3, x: 1, r: 4, g: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-50))\/((-434)\/4340)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -510 - -493. Let r(a) = a + 10. Calculate r(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 6 (b) 0.021 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*j - 6 = 0, -2*j + 9 = -4*i + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 0 - (19 - (-8 + 19 - -23))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-58)\/(-6))\/(7\/378). Let c = v - 520. Solve -3*t + 20 = c*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2413*i**4 + 878 wrt i.\nAnswer: -9652*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2779 = -4*h, -2*h - 2*z + 190 + 1186 = 0. Does 75 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 19, w: 1}. Give prob of sequence fffw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.696 + 0.696. What is the smallest value in p, 1\/2, -18, 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 0*o**2 - o**2 + 2*o**2. Let d(n) = -2. Let p(l) be the third derivative of -l**4\/24 + 5*l**3\/6 - l**2. Let w(x) = 5*d(x) + 2*p(x). Calculate w(v(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1093 - -1120. Calculate the highest common divisor of u and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 10. Let d be (6\/12)\/(2\/(-32)). Let m be o(d). Let v = -9 - -15. Calculate the greatest common divisor of m and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 5*m**6\/36 - 2*m**5\/15 - m**4\/24 + 3. Factor o(c).\nAnswer: c**3*(c - 1)*(5*c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159654 and 245971.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + z - 550. What is the remainder when z is divided by 997\/27 + 192\/2592?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.4 - -15.96. Let h = q + -0.36. Let z = h + -27.34. Round z to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 9 + 1. Let u be 2 + (-10)\/5 - 0. Suppose -3*h + q = -11, u = -3*h - q - q + 5. Solve r*z + 5*y + 5 + 7 = 0, 0 = h*z + 2*y - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 211390336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*q**2 - 4037*q\/4 = 0.\nAnswer: 0, 4037\/1200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4330550 is divided by 2486.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*21\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 5*p, 434*i + 2*p + 0*p = 436*i - 22 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2, 0.2, 1\/2, -0.5.\nAnswer: -0.5, 0.2, 1\/2, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 70*p - 67*p + 9288, 13971 = 3*l + 2*p. What is the highest common divisor of l and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r - 15. Suppose 2*b - 9 = -4*c + b, -13 = -5*c - r*b. Calculate the remainder when c is divided by ((-1)\/2)\/((-2)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 84 (b) -21 (c) -0.4 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6633, 11397, 16159, 20919, 25677?\n\"Answer: -m**2 + 4767*m + 1867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 77*y + 14. Calculate the remainder when v(38) is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - h**2 - 5*h - 1. Let v(j) = -6*j**3 + 48*j**2 + 34*j - 34. Let q(p) = 14*f(p) + 2*v(p). Suppose q(r) = 0. What is r?\nAnswer: -41, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -4. Suppose b = 3*o - 30 - 21. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.490733 rounded to 2 decimal places?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 4, -20, -3 in descending order.\nAnswer: 4, 3, -3, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - 0. Let o = h + -4.02. Is 0.1 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 q when four letters picked without replacement from kqkkqqipiqyqqipiikii.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -30*(-3)\/8*2. Let w = -16 + i. Let y = -781 - -8549\/11. Find the common denominator of y and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.9 times -281899?\nAnswer: -22805629.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/19, 52, -1.9, -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 65, 260, 585, 1040?\n\"Answer: 65*n**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/28 - (-6276)\/(-32949). Let l(p) = p**2 - p + 2. Let j be l(0). Let m be (2\/(-4))\/(j\/(-4)). Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((58\/(-261))\/((-2)\/(-3)))\/(20\/(-20))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-324)*12 - (-47)\/(-9). Let n be ((-1 - v) + -2)\/(3 + -97). Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i + 26*i - 20*i - 75*i - 82*i.\nAnswer: -143*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 15 = 0, 4*q - 486 = 3*k - k. Is q a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1 - 5*h + 7*h + 1 + 1. Let w(n) = -2*n - 4. Let z(a) = -6*c(a) - 5*w(a). Is z(-2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**2. Let d(r) = 60*r**2 - 25*r - 25. Let g = -154 - -152. Let x(j) = -5*j**2 + 2*j + 2. Let u(q) = g*d(q) - 25*x(q). What is u(k(s))?\nAnswer: 180*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 10 - 7)*(0*x - 5 + x - 2)*(-93 + 10*x + 93) as z*x + w*x**2 + j and give w.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/3293 and 43\/178.\nAnswer: 6586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 172732 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200773 by 1.\nAnswer: -200773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 259898, 1\/2, 6\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/19)*m**(-42) assuming m is positive.\nAnswer: m**(-795\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (sqrt(147) - -3*(sqrt(147) + -4))) + sqrt(147) + 0.\nAnswer: -14*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -10. Suppose -r = -3*c + 2*c. Suppose -c*d + 3*u + 69 = 0, -5*u + 92 = 5*d - 3*u. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -15149*a + 45748. Calculate g(3).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxwxwx?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*v - 13489 = 65*v for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -0.3. Let z = 60\/13 - 514\/117. Which is the fourth biggest value? (a) -0.4 (b) z (c) -0.15 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 402541320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1800 and 87774900?\nAnswer: 526649400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2191, -2205, -2229, -2263, -2307, -2361, -2425?\nAnswer: -2499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -16024*r + 1373*r**2 + 32039*r - 4 - 16019*r + 4 in the form h + s*r**2 + t*r and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1142084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/3*-21*6\/(-168). Let j be -8*((-1)\/(-2) - 2). Let w = j + -7. Solve -3*b + w*t = 12 - 2, r*b + 4*t = 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 - -62?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgg when three letters picked without replacement from ivgiiijigjiijiijgjv?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**2 + 2*y**2 - 11*y**2 + 22*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccfccfccccf. Give prob of picking 1 f and 2 c.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, -0.1, 0.037?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/3, 3, -0.063?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -359320400 to the nearest one hundred thousand.\nAnswer: -359300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 80 = -2*c, 178*j = 174*j - 5*c + 163. What is the remainder when 1580 is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**(-17)*t)\/t*t*t*t)\/t**9 assuming t is positive.\nAnswer: t**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 21. Give o(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*k**2 + 4*k**2 + 46*k**2 - 4*k**2.\nAnswer: 93*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.911 + 0.911. Let m be (-15)\/6*(-8)\/30. Sort -1.9, m, s.\nAnswer: -1.9, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0054344322 to four decimal places.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = h + 4*h + 25, 0 = b - 2*h - 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**(-2)\/z*z)\/z))\/z)\/z**(1\/3)*z*z\/(z**(2\/3)\/z*z)*z*z**(-2\/7) assuming z is positive.\nAnswer: z**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3278 by 298.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5126075*-5.\nAnswer: -25630375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 62522990*a. Let m(x) = -2*x**2. Calculate u(m(b)).\nAnswer: -125045980*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -4*u**6\/45 + 71*u**5\/15 - 35*u**4\/9 + 1300*u + 3. Solve m(o) = 0.\nAnswer: 0, 1\/2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 5)\/((-3)\/24). Let w = l - -18. Suppose 3*j**4 - w*j**5 - 3*j**4 + 4*j**3 - 168*j + 166*j = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2, -3, 1 in increasing order.\nAnswer: -14, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*o**3 - 11*o**3 + 10*o**3 + 1 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/(-11) + (-6)\/(-33). Let l(o) = 3*o - 4. Let f(n) = -7*n + 11. Let i(u) = -4*f(u) - 11*l(u). Calculate i(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1467337*w + 7*w**4 - 1467262*w + 789 + w**4 wrt w?\nAnswer: 32*w**3 + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.013 (b) -4 (c) -2 (d) -2\/7 (e) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 - -106. Solve -20 = n + 5*x, -l = -2*n - 0*n - x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 8:51 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-10)*30\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -883.142 + 0.142. Let c = 882.423 + m. Round c to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - -0.49. Let q be -1*((-25)\/5 + 13). Sort -0.5, l, q in decreasing order.\nAnswer: l, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4*y*y**2)\/(y*y**5)**(17\/5))**(-46) assuming y is positive.\nAnswer: y**(3082\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*k = -39, 0 = 2*k - 0*k. Let t = d + -11. Let h = 0 + 2. Is t equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4*b**2 - 11*b**3 - 6*b**2 - 30*b + 8*b**3 + 31*b to the form a*b**3 + i*b**2 + x + j*b and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7 - 8 + 8*i**2 - 1.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 303.03 - 1.03. Let r = v - 301.99735. What is r rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -41*y**4\/12 + 17*y**3\/6 - 20*y - 30. Let h(b) = 5*b**2 - 2*b. Determine 6*a(s) + 51*h(s).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 4*f - 10. Is y(-8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(3*j - 3*j + 2*j) + (3 - 5 + 1)*(-j - 2*j + 2*j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -314.6 + 315. Let y = 0.059 - -0.241. Is y >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001 (base 3) in base 4?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16223, 32539, 48855?\n\"Answer: 16316*z - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-3))\/(-54)*((-28)\/(-18))\/(56\/252).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2709.6867 rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1658696)\/(-56) + 80\/(-8) - (-6)\/14 a multiple of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15504997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - l - 7. Let v be i(4). Solve -4*x + v*j = -5, 0*j - 2 = -4*x + 2*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*f - 15*f - 25*f - 17*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 2. Let v be t(-4). Is 16 a factor of (-41*(2 - 0))\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.071 and -0.26.\nAnswer: -0.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7448 and -56.\nAnswer: 417088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 4973540*b**2 + 9947068*b + 4973532.\nAnswer: 4*(b + 1)**2*(b + 1243383)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 562.8795 + 0.1205. Let p = i - 484.8. Round p to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from qqaqddqdqqqdadd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 10 = 0, -5*i = 4*n - 3*n - 18. What is the derivative of -17*m**4 + m**2 + 4*m**i - 16 - m**2 wrt m?\nAnswer: -52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -91\/109 or -1?\nAnswer: -91\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(187) - -4*(-2*sqrt(187) + sqrt(187) + sqrt(187))))\/(-2*((sqrt(539) - (sqrt(539) - 1*sqrt(539))) + sqrt(539))).\nAnswer: -sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1558078, -3116158, -4674238?\nAnswer: -6232318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4600, 8609, 21818?\nAnswer: 35027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*b*w + 2*b - 24*w + 6 wrt b.\nAnswer: 38*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 divided by -1521206?\nAnswer: 71\/760603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 8*h + 4. Let x be l(0). Solve -2*c = -x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5)\/(((h**(-1\/5)*h)\/h)\/h))\/((h\/h**4)\/(h\/h**(-3))))\/((h**(-1)*h)**24)**(4\/9) assuming h is positive.\nAnswer: h**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1546, -3100, -4656, -6214?\nAnswer: -7774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1744?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 1993*k - 1990*k - 57, 0 = -2*k + 2*a + 6. Let d(w) = 27*w**3 + 2*w**2 - 2. What is the remainder when d(2) is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/((-1)\/(-12))*72\/(-2592).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(63) - sqrt(378)\/(sqrt(60)\/sqrt(10))) + sqrt(63))\/(sqrt(54)\/(sqrt(6) + sqrt(486))).\nAnswer: -2 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005596 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 4. Suppose -3*w + w + 2 = 2*s, s - 11 = n*w. What is the units digit of (-12)\/27*9\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-6)*(-24)\/9. Suppose 0 = -2*g - 2*j + 236, 248 = 2*g - 0*g - b*j. Let i be (-1)\/3 + 14*(-4)\/g. What is the closest to 2\/11 in i, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 2*h + 6 = 0, 5*h = -2*q + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16435803941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1175, -2246, -3329, -4430, -5555?\n\"Answer: -r**3 - 1064*r - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 78*n**2 - 312*n + 1. Give s(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55 + 1060?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + n + (-n + 0*n + 0*n)*(3 - 2 - 2) + 2*n - n - 2*n + (-2 + 3 - 10)*(3*n - 4*n + 4*n).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - h - 67. Let b be a(9). Suppose 2*s - k - b = 0, 1 = -4*k + 5. Factor 0*q + 0 - 2\/15*q**s - 2\/15*q**4 + 0*q**2.\nAnswer: -2*q**3*(q + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/1645 and -139\/2450.\nAnswer: 115150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12637\/5 - -2559. Let r = -31 + t. Is r greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 9:42 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/648 and -19\/120318.\nAnswer: 12994344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 35998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3666435790 rounded to the nearest one hundred thousand?\nAnswer: -3666400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -981*h + 551*h + 7*h**4 + 482*h + 5*h**2 - 118 + 119 to d*h**2 + z*h**3 + q*h + a + o*h**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*i + 3*d, 2*i - 2 = -5*d + 28. Let s be 1\/i + (168\/(-15))\/(-4). Solve -1 = -3*x - s*z + 8*z, -2 = -2*z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 53 = 5*v - 90, 5*q - 3*v = 157. Suppose q*i - 48*i = -320. What is the highest common divisor of i and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 27 + 0*b - b + 0*b. Let k(o) = 81*o + 1197. Let g be k(-15). Let c be s(g). Calculate the greatest common divisor of c and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12350 is divided by 117.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/20 + 34\/10. Suppose 4*a + 4*h - 100 = 0, 2*h = -l*a + 119 - 23. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202579.\nAnswer: 13, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 465*f - 34. Is 14 a factor of j(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 178*x**2 - 355*x - 526. What is v(-176)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 c when four letters picked without replacement from {c: 2, k: 1, r: 3, h: 7, v: 3, j: 1}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1144\/676)\/(6\/39)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**5 - 7734*s**4 + 241845*s**3 - 2064180*s**2 + 5602308*s - 4758816 = 0.\nAnswer: -2609, 2, 8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011212212 + -12120?\nAnswer: 1011200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -307*n**2. Let b(v) = -11*v**2 - 4*v + 4. Let k(l) = -25*l**2 - 9*l + 9. Let h(u) = -9*b(u) + 4*k(u). Calculate x(h(s)).\nAnswer: -307*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14021 is divided by 3105.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76825\/12 or 6402?\nAnswer: 76825\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.406*-0.6.\nAnswer: 0.8436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 101 = 3*c, 3*c + c + 263 = 5*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -394.7 - -395.1. Which is the fourth smallest value? (a) -0.071 (b) -1 (c) 3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - -59. What is the remainder when 74 is divided by 2*b\/1*2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1215, 0, -2\/11?\nAnswer: -1215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 + 3.89. Let f be -1 - (8\/(-12) + (-4)\/(-6)). Let k be (3\/5)\/((-39)\/75) - f. What is the second biggest value in 3\/4, k, i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4 + 36*f**3 + 266*f**2 + 636*f + 405 = 0. What is f?\nAnswer: -27, -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 65.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjao when four letters picked without replacement from {j: 3, o: 1, a: 11}?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 - 114. Solve 5*h = p + 3*h + 7, -4*p + r*h - 19 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96085 (base 14) to base 3\nAnswer: 200102000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -555\/59 (b) 2 (c) 3 (d) -3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + 1.38. What is q rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.52\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*n + 22 - 29, 28*n - p = 29 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -234*i. Let g be k(-2). Let a = g + 3. Suppose -5*x + a = -4*o, 72 = -4*x - 2*o + 454. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*g = -2*g - 20, -g + 89 = -5*m. Let k be (-8)\/36 + (-94)\/m. Solve -k*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -952*p**3 + 26*p**2 + 953*p**3 - 5*p + 45*p**2 as d*p + c*p**3 + m*p**2 + w and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50592054 - 6?\nAnswer: 50592048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37227.21l to millilitres.\nAnswer: 37227210","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*c - 4*b, 0 = c + 50*b - 55*b - 14. Sort -12, -5, c in descending order.\nAnswer: c, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 120*x**2 - 3*x - 4. Is n(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 - 3 = 0. Suppose -3*g = -0*g + c + 16, 0 = m*c + 12. Let p(r) = 4*r + 20. Let y be p(g). Solve -y*k = -2*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**3 - 2*s - 3. Let m(y) = -y**3. Let c(f) = i(f) - 4*m(f). Let p be c(-2). Let t be -6 + (330\/20)\/3. Put t, 0.1, p in decreasing order.\nAnswer: p, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3*w = -54. What is the highest common divisor of 54 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bba when three letters picked without replacement from {b: 9, a: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/56 and -89\/136404.\nAnswer: 1909656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 1050245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(130)*5)\/((sqrt(90) + sqrt(90)*2)\/sqrt(9)) + 5 + sqrt(117)\/(-2*sqrt(9)) + 1)**2.\nAnswer: -46*sqrt(13) + 8173\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**3 + 5*w**2 - 11. Let y(k) = -k**3 + k**2 + k + 1. Let h(n) = -m(n) - 3*y(n). Is 10 a factor of h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -425 - 512*q + 355*q - 488*q - 1224*q with respect to q.\nAnswer: -1869","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-one halves of a century?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. Does 7 divide -6 - (z - 1) - -33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 13. Let k(w) = -2*w - 9. Let t be k(c). What is the remainder when (8\/(-12) - t)*186 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8136052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*k + 1400 = -2540 - 1244 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/3)*l**(-10))\/(l*l**(-2\/15)*l*l**(-14)*l) assuming l is positive.\nAnswer: l**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-3968)\/1312 + 3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 327 - 194. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -42, 5, 0, 2, -3\/14, 867\/7?\nAnswer: 867\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*o**2 + 43*o**2 - 95*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/3 and -61\/18657.\nAnswer: 18657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-14) + 344745\/(-5922) - (2 - 2\/1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujup when four letters picked without replacement from {p: 5, b: 3, k: 3, u: 2, j: 3, l: 3}?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 137317657*b**3 + 125331442*b**2 wrt b?\nAnswer: 823905942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 223459268 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + 1.4. Let z = -4 + -1. Which is the second biggest value? (a) z (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12803045 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-17 - -4 - -20)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*t - 6*n - 11, -3*t + 5 = -4*n. Put -8, 0, t in decreasing order.\nAnswer: 0, t, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -26\/5, 0.3, 6\/5, -3\/8, 8?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c*d**2*x**3 + 10*c*d*x**2 - 76*c*d*x + 705*c*x**3 + 2*d**2*x wrt x.\nAnswer: 24*c*d**2 + 4230*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 66*w**2 + 2*w + 46. What is v(-33)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2250258 * 0.1\nAnswer: 225025.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 12*w = -10*w - 165 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19704 and 1056?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 - 102. Let l(u) = u**2 - 8*u + 6. Let n be l(z). Which is the smallest value? (a) n (b) -5\/2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.0367667 to 1 decimal place.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040975127 to 3 decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105826999 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -84500 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 7*t - 8. Suppose 4*f - 12 = 0, -f - 2 = 3*p + 16. Determine g(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/2)*u)**(6\/17)*(u**(-1))**(-4\/13) assuming u is positive.\nAnswer: u**(263\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4*v + 6*v + 16, -5*g - 2*v = 0. Suppose -9*y + 35 = -g*y. Solve -2*r = 4*j + 10, 0 = -r + 4*j + y + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4399538.10000015 - -4399538. Let n = s - -0.1. Round n to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (109 - -2) + (8161 - 8354)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xycvaad. What is prob of sequence yc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -91, -256, -495, -802, -1171, -1596, -2071?\n\"Answer: g**3 - 43*g**2 - 43*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 6*v - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 18548*k + 50 - 69.\nAnswer: 18548*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 126, 133, 138, 141?\n\"Answer: -k**2 + 10*k + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113 - 132 - (-8 + 6 + -64)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 2. Suppose 0 = r + 2*r - p. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-85)\/(-20))\/(40\/(-4990992)*(-6)\/20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e2ee (base 15) to base 11.\nAnswer: 68050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13966 or 13968?\nAnswer: 13968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1502.\nAnswer: 1\/751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60745, -485975, -1640157, -3887767, -7593281?\nAnswer: -13121175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -27, 5, 2 in descending order.\nAnswer: 5, 4, 2, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1418 - 1417. Which is smaller: 1\/711 or x?\nAnswer: 1\/711","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 60*y - 65*y + 141, 2*w + 6*y + 28 = 0 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 + 2*d + 24. Let k(a) = -4*a**2 - a - 21. Give 5*k(y) + 4*t(y).\nAnswer: -4*y**2 + 3*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 155\/32 smaller than -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*g**2*s**2*v**2 - g**2*s**2 + 3*g**2*s*v - 6*g**2*v - 2*g*s**2 - 5*s**2*v**2 wrt v.\nAnswer: 16*g**2*s**2 - 10*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3888*a + 12. Let w(y) = -4*y + 2. Determine -k(q) + 5*w(q).\nAnswer: -3908*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(510))\/sqrt(10))\/(sqrt(3)*1*-3).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -15*c - 244. Determine m(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/3040 and -14\/20805.\nAnswer: 665760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 + (0 - 0)\/((38 - 12) + -29). Solve -12 = 2*j - 4*l, -4*j - 16*l = -i*l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40, -26, -4, 26, 64, 110?\n\"Answer: 4*d**2 + 2*d - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 230 - 244. What is the second biggest value in -1, m, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**5\/8 - 5*b**3\/2 - 3*b**2. Let n(x) be the first derivative of q(x). Let f(l) = 2*l. What is n(f(k))?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 12*z + 26. Let w be t(14). Which is the third smallest value? (a) w (b) 3\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-399)\/(-126) - (-1)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from pzzzzddpddd.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 1\/6*h**6 + 0*h**2 + 1 + 0*h**4 + 1\/3*h**3 + 0*h + 0*h**5. Find the third derivative of s(v) wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37944 and 496?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 + 186.6. Sort q, -5, -4, -1.\nAnswer: -5, -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10070 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*a + 15 = 0. Let h(m) = -m**2 + 6*m. Let z be h(a). Find the third derivative of 0*c**2 + 0*c**2 + 8*c**2 - c**z wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9204005 a multiple of 2432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9475, 37869, 85177, 151399?\nAnswer: 236535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/((sqrt(10)*2 + sqrt(10))*-4))**2.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/6)\/((-7)\/(-21)). Let o be i\/6*(2 + 1). Let c = 4 - o. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21 - -19)*46\/(-4). Let x = -26 + n. Is 2 a factor of (-3)\/(x\/(-3)) + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - 0. Let p = u + 15.6. Which is the second smallest value? (a) -4 (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1092 - 1092 - 2*a**3 - 9*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91216875 is divided by 786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -9 - -16 - (20 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*u - 31 + 40, u + 15 = 5*q. Which is greater: -1\/308 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10755\/(-131450))\/((-3)\/11))\/(6\/(-76)).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1398 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 7*d + 700. Let r(y) = 5*y**2 + 10*y + 2100. Let k(x) = -6*r(x) + 17*s(x). What is the first derivative of k(z) wrt z?\nAnswer: 8*z + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/286 + -1101\/2717. Is 1 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18541607699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nncxcxncccnc. What is prob of picking 4 c?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*c + 14, 2 = 2*c - c - x. Calculate the remainder when 14 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*t - 4 = 0, 5*f - 4*t - t = 0. Solve f = -v - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2340630, 2340622, 2340608, 2340588, 2340562?\n\"Answer: -3*y**2 + y + 2340632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 6*x - 3. Suppose -33 = 5*n - 13. Let j be ((-2)\/n)\/(13\/130). Calculate p(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**1*m*m*m*m*m*m\/(m\/m**(-12))*m*m*m**(-2\/15)*m**(-27)*m assuming m is positive.\nAnswer: m**(-437\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6459502.00001024 - -6459261. Let g = -241 - a. What is g rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 930*r = 1890*r - 904*r - 3411968. What is the thousands digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 0 + 3 - 35*r + 5 - 28*r.\nAnswer: -63*r + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**2 - 127696822*o + 276765871 wrt o?\nAnswer: 2*o - 127696822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 9. Let a = -2 - 9. Which is greater: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p**(-2\/5))**(1\/43)\/(p**(-1\/4)*(p**0\/p)\/p)*(p**0*p)**(-2\/125)*(p\/(p*p**(1\/2)))**(-50) assuming p is positive.\nAnswer: p**(586831\/21500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 125*n**2\/2 + 55*n + 39. Let i(y) = 9*y + 4. Calculate -55*i(h) + 4*s(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021228 rounded to five decimal places?\nAnswer: 0.00212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/5 + 12*z**4\/5 + 48*z**3\/5 + 52*z**2\/5 + 18*z\/5 = 0. Calculate z.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 2719?\nAnswer: 271a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2640970 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 320*d. Let h(o) = o**2 + 320*o. What is 3*h(b) - 4*q(b)?\nAnswer: 3*b**2 - 320*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8008*m - 64060. Calculate j(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11500*y - 5*y**3 - 11495*y + 22995*y.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.32 and -13.4258?\nAnswer: 4.296256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 363500\/40 - (-2)\/4. Let l = 14901 - i. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 138047 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 73 + 6*t**3 - 2*t**3 - 68 + 3*t**2 + 142 in the form z*t**3 + j*t + p*t**2 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -3 - (-20)\/1. Let q be (-27)\/(-18)*8\/3. Calculate the greatest common divisor of q and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + 84 - (-1)\/(-1). Suppose -9*m = -52 - u. Let n be (-15)\/(-10)*1\/(3\/10). Solve n*c = c + m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 4717.\nAnswer: 14151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -3*m**4\/4 + 2058*m**3 - 3176523*m**2\/2 + 1591. Solve l(x) = 0 for x.\nAnswer: 0, 1029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1749738785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 120995392.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p - 22*p - 33 = -3*x - 50*p, 0 = x - 6*p + 55 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41196?\nAnswer: 2, 3, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.3, -2\/201, 3 in increasing order.\nAnswer: -0.3, -2\/201, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**5 - 38079957*l**4 - 5*l**2 - 207*l + 59716 wrt l?\nAnswer: 60*l**2 - 913918968*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 888543546?\nAnswer: -888543549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 + 5?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-28) - 3\/12. Suppose 5*w - 5*r - 10 = j, -2*w = -0*w - 3*r - 6. Suppose w = -5*d + 164 - 19. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q - 123. Let m be s(-26). Solve m*z - z - 12 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 744 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 1, -5, -13, -23, -35?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + z + 6, -3*k + 2*z = -6*k + 16. Let d = 19 - 13. Calculate the smallest common multiple of k and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.107784 to 3 dps.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1505299.8 to the nearest ten thousand.\nAnswer: -1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v - 2. Let p be a(2). Let x = -2390 + 4693\/2. What is the common denominator of x and 10\/p*90\/27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 3*r**4\/4 - 180*r**2. Let s(w) = -451*w. What is 4*s(l) + 99*t(l)?\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 c, and 2 v when four letters picked without replacement from vvvpvvvvvcvpeccv?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -14) + 7 - (-9 + 1) - 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/4)\/9)\/((-5)\/45)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10142 + -9679. What is the remainder when h is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -4\/9?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 86 = 4*s, 3 = -5*g - 27. What is the third biggest value in -0.06, s, 35?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 17 - 10 - 18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 <= -23817742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**3\/3 + n. Let x(b) = -2*b. Let o(u) = 5*l(u) + 6*x(u). Let k(i) = -2*i**2. Determine k(o(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -4\/7, 21\/2, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**3\/8 + 693*g**2\/8 + 3273*g\/4 - 1980 = 0.\nAnswer: -11, 2, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 340196 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 16. Let u be -12*(((-1388)\/z - 3) + -4). List the prime factors of 12\/2*u\/(-48).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -4 (c) 877\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10110110 (base 2) to base 13\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - -7cd18?\nAnswer: 7cd29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 2\/11 (c) 2\/1601 (d) 332\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20102 + -2?\nAnswer: 20100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 83, 89, 95, 101, 107?\n\"Answer: 6*t + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 3*o**2 - 2*o**2 - 1 + 4*o**2 - 4*o. Let q be g(-3). Find k such that -117 + 102 - q*k - 10*k**2 + 4*k = 0.\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -10. Solve -5*g = -3*q - 4, 4*g = -q + l*q + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 6:51 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = -3*p + 5*f + 501, 2*p - 5*f = 369. Suppose -3612 + p = -4*s. Is s\/24 - 1\/(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 2. Let k = -5.999976 + w. What is k rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*((-7614)\/(-30) - -3) - 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.424.\nAnswer: -0.0848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 994950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - t + 0*t)*(1 + 2 + 0) + 3*t - 7*t + 2*t + (0 - 3 + 4 + (4 + 1 - 4)*(0 + 2 + 0) + 1 + 3 - 2)*(-3*t + 4*t - 3*t) to the form b*t + w and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 0 - 2*f + 557\/2*f**2 + 1\/6*f**3. Is q(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a**2 + 0*a**2 + 2*a**2)*(1 - 3 + 4) + (9*a**2 - 2*a**2 - 5*a**2)*(-1 + 0 - 1) + (2*a - 3 + 3)*(2 + a - 2) to x*a**2 + b*a + c and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635 + 73 = 708*p. Let v = 94 + -151. Which is bigger: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1522\/7, -5, 2\/13, 0, 1\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9979.\nAnswer: 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-140747\nAnswer: 42224.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7482470?\nAnswer: 2, 5, 31, 24137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3242 or -3241?\nAnswer: -3241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -5. Let u be (-4)\/12*(-18)\/r. Let v = u + 4. Calculate the remainder when 16 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqqqqkjqcqjqqqkqqqck. What is prob of sequence jjck?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 63*w + 245. Determine v(35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 7*u**5\/10 - 2*u**4\/3 + 380*u**3\/3 - u**2 + 84*u. Differentiate a(b) wrt b.\nAnswer: 84*b - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - 14 - 24) + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1755162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 17 = 5*m, 4*m + 5*v = 8*m + 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 10\/17, 1, 5 in decreasing order.\nAnswer: 5, 1, 10\/17, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 + 68. Solve 0 = -x*a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -2*z + 1\/2*z**2 + 2\/3*z**3 + 2. Suppose -52*q - 376*q - 790 = 66. Determine i(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -54*f**2 + 29*f - 3. What is v(2)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -6\/2547653 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -133*g + 30. Let k be q(8). Let x = 3487 + k. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10*(-3)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73446 - 73446. Determine n, given that -120\/11*n + i + 6\/11*n**2 = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 11*o**2 + 29*o - 27. Let l(n) = -6*n**3 - 56*n**2 + 146*n - 135. Let w(b) = 33*f(b) - 6*l(b). Factor w(y).\nAnswer: 3*(y - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8320.154m?\nAnswer: 8320154000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 501 - 9521\/19. Which is the nearest to 1\/2? (a) l (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -22.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 + 2 + -3 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from oooooqooxqxo.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyxz when four letters picked without replacement from {x: 13, y: 2, z: 5}?\nAnswer: 13\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 387, 488, 35, -1248, -3637, -7408?\n\"Answer: -46*a**3 - a**2 + 426*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 389088?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 8*q**2 - 9*q - 1. Let c be s(-9). What is the biggest value in 3\/4, -9, c?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 5\/7, 2.\nAnswer: -80, 5\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 95*h - 388. Calculate w(4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5\/9 + 133212*q**4 + 19964016194*q**3 + 1078024504184*q**2\/9 + 539008455584*q\/3 + 79852867712 = 0.\nAnswer: -299724, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*(4 - 69\/18). Let y = -5.1 - -1.1. Let x(c) = -c**2 + c. Let z be x(0). What is the second smallest value in i, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2 - 1. Suppose -3*n + 6 = -a, 0 = -3*n - 4221*a + 4226*a - 6. Sort 2, n, z, 5 in decreasing order.\nAnswer: 5, n, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*x + 23 = 0, 3*n - 16*n + 9*n - 5*x + 15 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.0931 less than -0.15?\nAnswer: -21.2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -51. Let t be 8 + (-1)\/4 + g\/8. Suppose -v + t*a = -123 + 27, -2*v + 137 = a. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197*b - 4918 + 4918)*(-b**2 + b + 3*b**3 - 2*b + 0*b**2).\nAnswer: 591*b**4 - 197*b**3 - 197*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + sqrt(75) + 1 + 2 + sqrt(75) + sqrt(75) + sqrt(75))**2*-3.\nAnswer: -5652 - 450*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (-52 + 29 + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -11111 - 977. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7419386?\nAnswer: 2, 13, 19, 23, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 179 + 659 = 30*p for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(64\/(-126) + (-16)\/(-72)). Suppose b + 5*p - 1 - 1 = 0, 5*b + p = 10. What is the closest to b in -5\/2, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 574098, 1148055, 1722012, 2295969?\nAnswer: 2869926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87348 and 1938360?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 16*o**2 + 36*o - 241. Give h(5).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*b - 35 = 73, -2*b = -4*l + 240. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -69, 53, -2.\nAnswer: -69, -2, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**5\/105 + k**4\/14 + 4*k**3\/21 - 7*k**2 + 6. Let j(p) be the second derivative of y(p). Factor j(s).\nAnswer: 4*(s + 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 + -65 - (-2 + (2 + 4 - 20))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -379 - -654. What is the greatest common factor of v and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 4*i = 15. Suppose -22*m + 18*m + 72 = 0. Solve -i*d = -m - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 16*a + 20. What is h(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*h**2 - 12*h + 6*h - 8*h wrt h.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + q**2 + 6 - 14 + 4*q**2 - 4*q**2. What are the prime factors of a(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 46 = b - 41, -3*i - 20 = i - 5*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116816641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-6) - -76*(-14)\/140.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 242 - 240. Which is the nearest to 0.1? (a) -3 (b) w (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 14 + 18 + -45.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24703 and 56.\nAnswer: 197624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -165. Suppose 3*j + 5*d - m = j, -5*j + 270 = 3*d. What is the remainder when j is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40774.48 - -40774.34999965. Let o = 28 + -28.13. Let j = o - x. What is j rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*c - 117*c - 385*c - 1376 = -36814 for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 133285177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4668567?\nAnswer: 3, 1556189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127613 is divided by 4556?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsv when three letters picked without replacement from ssswvggvgvivsv.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 - -119. Suppose c - 6*c = 2*k - 24004, x*c = 3*k + 14394. Round c to the nearest 100.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225 divided by -190541.\nAnswer: 225\/190541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-9))\/(8\/6))\/(1\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.055 and -1?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(1\/(2\/(-3)))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/7413 and 63\/5.\nAnswer: 37065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/24 - 7\/(-3). Factor 2*d**4 + 3*d**3 - v*d**2 + d - 3*d + d**4 - d.\nAnswer: 3*d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-66))\/3*(-53)\/((-1643)\/124).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g - 7. Let z be d(-7). Let h be (20\/(-35))\/((-20)\/z). Which is the nearest to h? (a) 5\/6 (b) -4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 38, 9, -27, -0.06, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/56 and 1586\/819 + (-2)\/1.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 3*d**3 - 3*d**3)*(-d - 2*d + 9*d + (0 + 3 - 4)*(3*d - 3*d + 2*d) - 2 + 2 - d)*(-2 - 4 + 7)*(d + 2*d + 0*d).\nAnswer: -27*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-63)*((-1)\/(-2))\/((-88)\/440)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -498, -499, -500, -501, -502, -503?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5818?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3014 (base 6) in base 9?\nAnswer: -811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -76*s. Let h(z) be the second derivative of -7*z**4\/12 + 2*z - 15. Calculate h(a(b)).\nAnswer: -40432*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*t + 86*t - 2600 = 269*t - 41*t for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, v: 5}. What is prob of picking 2 v?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1896 = 7*c. Let y = -396 + c. What is the highest common factor of y and 507?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145858839.\nAnswer: 3, 7, 19, 52223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1794511760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-331)\/6)\/(2\/(-12))?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 255?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3725674 millilitres in litres?\nAnswer: 0.0003725674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 bigger than -734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 91645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1524 and 0.3.\nAnswer: -457.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-15))\/((-1)\/30).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 4*d**2 - 7*d - 5. Let u be (-18)\/4 + (-8)\/16. Let v be t(u). Suppose -30 = -5*n - 35. What is the biggest value in 2, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*w + 3 = 0, 15*g + 3*w - 8 = 13*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6*6\/(-81) - (5 - (-172880)\/(-18)).\nAnswer: 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7424193*h**4 - 8368*h**2.\nAnswer: -178180632*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (70\/21)\/((-10)\/(-12)). What is the greatest common factor of 10 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 18. Is 6 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*d + 198 = 57*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence all when three letters picked without replacement from {a: 5, l: 3, b: 4}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -567690083339?\nAnswer: -567690083338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - 0.43. Let k be (2 - 34\/18)*3. Let x be 2*(10\/4 - 0). Which is the nearest to 2\/5? (a) k (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + 6*sqrt(156)*-2)\/sqrt(12) + 1*sqrt(13) + -5 + (sqrt(39)\/sqrt(3)*-4)**2.\nAnswer: -10*sqrt(13) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535 + 403 = -4*n. Calculate the remainder when 113 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-2)*80\/(-200).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 20\/(-15))\/((-2)\/(-168)). Let q be 86\/9 + o\/63. Calculate the highest common divisor of 9 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*w**3 + 9*w + 733 wrt w?\nAnswer: 12*w**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*c**3*h**2*m + 15647*c**3*h*m*n**3 + c**2*h**2*m*n**3 + 2*c**2*h**2*n - 268*c**2*h*n + 230*c*h**2*n**3 - 2*h**2*m*n**2 wrt c?\nAnswer: -108*h**2*m + 93882*h*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69365.88nm to kilometers.\nAnswer: 0.00000006936588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -3*k**2 - 26*k + 676. Suppose b + 10 = -b. Let c be d(b). Solve c*t + 15 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-113*c - 108*c + 111*c)*(2 + 0 - 1).\nAnswer: -110*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 171, 120, 71, 24, -21, -64, -105?\n\"Answer: n**2 - 54*n + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 1:13 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t + 50. Let x be n(-20). Find v, given that 15*v**2 - 5*v + x*v - 2*v + 9*v**2 = 0.\nAnswer: -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58815241 rounded to the nearest 1000000?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 856*v - 40665 - 30895 - 12648 = 5672 for v.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2 (c) 2 (d) 33 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -16, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3\/2003, -4, 32, -2?\nAnswer: -3\/2003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 - 21*f + 70. Let z be s(-14). Put -3, 0, z, -5 in descending order.\nAnswer: 0, -3, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 37*v + 76. Let h(f) = -40*f - 72. Let g(o) = 4*h(o) + 5*p(o). What is g(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 v when three letters picked without replacement from {t: 2, v: 1, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 + 3*o + 3*o**5 + 2 - o + (-7*o + 9*o + 6*o)*(-o**4 - o**4 - 11*o**4).\nAnswer: -103*o**5 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38201285 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15129, -31055, -46981, -62907?\nAnswer: -78833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.2, 31, 5\/44?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 12:22 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -739*p**3 + 4*p**2 + p - 7. Let d be u(-3). Suppose 2*x - 2*k - d = 3*k, 0 = 3*k - 9. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 + 4717*f - 32825. Calculate n(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 b, and 1 f when three letters picked without replacement from {w: 6, x: 3, f: 4, q: 2, g: 3, b: 1}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.758 + -8.8. Let n = d - -0.042. Sort n, -2, -4 in ascending order.\nAnswer: -4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9633\/7 + 38553\/28. What is the closest to -0.3 in j, -6.22, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62587799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -1, 0.033, 0.4 in increasing order.\nAnswer: -1, -3\/5, 0.033, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1807 - 19007981652.\nAnswer: -19007983459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*t**3 - 1299715*t**2 - 17216740*t - 3979040 = 0. Calculate t.\nAnswer: -13, -4\/17, 15304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -331723 - -331707.6991. Let t = -15.3 - o. Round t to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 10*s + 25. Suppose 0 = 5*y + g - 60, 3*g - 53 = -3*y - 5. Calculate the remainder when t(y) is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1 + sqrt(2736) + 2 - -1*(2 + sqrt(2736))))**2.\nAnswer: 192*sqrt(19) + 10960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164 and 1025.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 8*a**2 + 11*a + 23. Let d be k(-9). What is the second derivative of -4*n**d - n**5 - n**5 + n**2 + 2*n - 15 - 5*n wrt n?\nAnswer: -120*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beeibidbbibibbeid. What is prob of sequence dib?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 - 2*w)*(-1 + 0 - 1)*(3 + 2 - 4)*(1 - 3 + 0)*(-662 + 357 + 419)*(-6*w - 6*w + 9*w) to x + a*w**2 + c*w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 885.3055 nanometers in centimeters?\nAnswer: 0.00008853055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 10*b - 9 = 0, 24*w - 15 = 19*w + 6*b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12*z + 1. Suppose 0 = -3*o - 2*o + 10. Let f be i(o). Let y = 38 + f. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y. Let x(t) = -16*t**2 + 2*t. Calculate s(x(v)).\nAnswer: -160*v**2 + 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -24. Suppose 5*a + 3*m = -18303, 3*a + g*m = 2*m - 10978. Round a to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 28*p - 25*p + 20*p**2 + 0*p**3. Let v be a(19). Suppose 2*c = 3*o - v, o - c + 58 = 198. What are the prime factors of o?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 43 = 5*l, 8*k - 41 = 4*k + l. Suppose g + k = 4*g. Let w(v) = 0*v**2 - g*v**2 + 4*v**2 - 3*v + 7*v. Calculate w(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - 3*h + 7. Let o be v(-4). Let t = 29 - o. Suppose 0 = -i - r + t, -r = r + 6. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 - -108.9. Which is the closest to -2? (a) z (b) -3 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 5*u - 2. Let k be l(3). Let f = -39\/8 - -5\/8. Let g = k + f. Is 0 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/6 (b) -7\/2 (c) 4 (d) -1\/8 (e) -2\/3 (f) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -14 + 4 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 7*c**2 - 7*c + 3. Let t be o(5). Suppose 7*j - 5*s = 3*j - 36, 2*j + t = -5*s. Let k = 16 + j. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3538789745?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/4751131 or 0?\nAnswer: -9\/4751131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2\/3 - 128*k\/3 - 130\/3 = 0.\nAnswer: -1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((12\/9)\/4). Let w = -7.4 + 8.4. What is the closest to w in -2, l, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -y + 5*y + 14, -5*v - 2*y = 20. Let m(n) = n**2 - 2*n - 1. Let t be m(3). Sort v, -1, t in descending order.\nAnswer: t, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-113*d**4 - 2*d + 111*d**4 + 20*d**2 - 21*d**2)*(6*d - 2*d - 3*d) - 6617*d**4 + 106*d**5 + 6617*d**4)*(3 + 1 - 6).\nAnswer: -208*d**5 + 2*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**4\/12 + o. Let f(j) = 14*j**2. Determine b(f(y)).\nAnswer: 196*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 18. Let v = 22.16 + -2.16. Let t = p + v. Which is the smallest value? (a) 1\/3 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q - 1. Suppose 5*i = 35 + 40. Suppose -4*l - 3*k + i + 20 = 0, 2*l - 5*k = 11. What is the lowest common multiple of l and u(3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 206 and 406.\nAnswer: 41818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 65\/78 + (-2)\/2. Suppose 5*u + 5 = 6*o - o, -u = 5*o + 1. Which is bigger: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 4*d + 10. Let c(s) = 3*s**2 + 11*s - 11. Let p be c(-4). Calculate y(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180132*n - 89607*n - 90516*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -361409*(6 - (3 + 15 + -9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o\/o**0)\/o)\/o)**(2\/5))**20\/(((o\/o**5*o)\/(o**(-5)*o))\/((o\/o**(-3)*o)\/(o**(-2\/9)*o))) assuming o is positive.\nAnswer: o**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 18 = -5*m, -1 = -0*m - m - 3*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + 0*t**2 - 4*t**2 - 2*t**2 to the form a*t**2 + k*t + r and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*f**3 - 206*f + 72*f - 2*f**3 + 57*f + 77*f - 36*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5\/7 + 2420*o**4\/7 + 314836*o**3\/7 + 128756*o**2 - 2756792*o\/7 + 1538240\/7 = 0. What is o?\nAnswer: -418, -184, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 - 1671.\nAnswer: -1756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21676533 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -1730\/187413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1050800.\nAnswer: 1\/525400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5968 is divided by 237?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-40)\/(-12))\/(4\/(-18)). Let i = s + 59. Let t be i\/7 + 6\/(-21). Calculate the highest common factor of t and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.00000053 + -17. Round q to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -12*c + 15050. Let p = c - 1271. Suppose p = 34*i - 31*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 4*a**2 - 4*a + 4. Let y be t(3). Suppose -3*j - r = -15, -2*j + y = -3*r + 2. Suppose -j*f + 32 + 36 = 0. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 14 = u, 135606 = 16*t + 2*u + 135644 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7910.\nAnswer: 2, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -967*d + 16314. Let f be m(13). Calculate the greatest common divisor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3456893*b*q**2 - 5*b + 847*q**2 + 2769*q wrt b.\nAnswer: 3456893*q**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3347701 and 47?\nAnswer: 3347654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2143 - 2144. Is y bigger than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/13)*l*l**(-29)\/l*l assuming l is positive.\nAnswer: l**(-362\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + g = 28 - 3, g - 10 = p. Let m(r) = 4*r**3 - 7*r**2 - 7. Let w(f) = -3*f**3 + 5*f**2 + 5. Determine p*m(l) - 7*w(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 12651 (c) 2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (1 + sqrt(637) - sqrt(637) - sqrt(637)) - (-4 + sqrt(1872)*1 - sqrt(1872)))**2.\nAnswer: -280*sqrt(13) + 2648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-63) + 92\/828?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88180 and 820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-7) + -46 + (-116 - -170). Factor 29\/7*i - i**2 + u.\nAnswer: -(i + 1)*(7*i - 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0 + 11*f - 3\/2*f**2 + 0*f**3 + 1\/4*f**4. Suppose d(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5856.4 - 5856. Let y = -20 + 21. Put -3, y, h, -2 in decreasing order.\nAnswer: y, h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**4\/6 + 4754*m. Let k(g) = 7*g**2 - 8*g - 7. Calculate k(s(l)).\nAnswer: 28*l**4 - 16*l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -15*o - 10. Let p(m) = 6 - 1 - 5 - 2. Let f(u) = n(u) - 5*p(u). Let c(s) = s**2. What is f(c(d))?\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 188\/(-470)*30*(-231)\/792?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 1 + 11. Let u be (-3)\/2 + 176\/32. Solve -k - 19 = -5*m - 0*k, u*k - y = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2 - 7*x + 166. Determine l(10).\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -667175.0417 - 141.9583. Let m = 667295.000088 + x. Let t = 22 + m. What is t rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192015 by -64005.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 + 0*q**2 - 3*q**2)*(350*q + 344*q - 284*q)*(6*q - 4*q - 4*q) to a*q + i*q**4 + j + m*q**3 + c*q**2 and give i.\nAnswer: 1640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2349489 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2915 minus 0.5?\nAnswer: -2915.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -511 + 201 = -2*l. Let f = l - 153. Solve 0 = 5*j - 12 + f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(12\/16) + 61. What is the least common multiple of 2 and (6\/(-10))\/((-13)\/d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 4 - 4)*(3 - 2 + 1) + (2 + 2 - 2)*(0*z + 3*z - 2*z) - 21 + 21 - 4*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -2*d**3\/3 + 16*d**2 + 30*d. Let m(s) = s. Let n(c) = b(c) - 8*m(c). What is the first derivative of n(f) wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -8*h + 3*h. Calculate the remainder when h is divided by (-3 - -1)*-1 - -10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 + 75. Is -4 + f + (5497 - (2 + -3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**4\/4 + 2*c**3\/3 + 3*c**2\/2 + 3*c - 4. Let a be r(3). Suppose 2 + 1 = -a*i. Let t(b) = -3*b**2 + 2*b + 1. Give t(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725162 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k. Let y(w) = 4*w - 4*w + 10*w + 8*w. Calculate y(v(t)).\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -494, -1086, -1906, -2948?\nAnswer: -4206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128*j + 135 - 135)*(-1 - 6 - 5).\nAnswer: -1536*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 19*n**2 + 82*n + 120. Determine h(-17).\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 1:57 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3357\/(-16785))\/(2\/(-260))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -1 + 213610\/(-80836). Let s = b + -1\/2887. What is the common denominator of s and 121\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(18))\/(sqrt(90)\/(sqrt(18)\/sqrt(2))).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1556 (base 8) to base 14.\nAnswer: -46a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(19) + (-4 + sqrt(684) - sqrt(19)) + sqrt(19))*-4 + ((sqrt(19) - 2*sqrt(19)) + -5 - sqrt(19))*6)*4.\nAnswer: 112 + 320*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 59500 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001333307 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 6*n**2 - 6*n - 5. Let b be k(4). What is the nearest to b in 0, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 4 + 4)*(-2*f**3 - 2*f**3 + 6*f**3) + f**5 + 4*f**5 - 4*f**5 + 10*f**4 - 2*f**5 - 34*f**4 + f**5.\nAnswer: -2*f**5 - 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1113184 - 2\nAnswer: -2.1113184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13.8 or -1\/704378?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.644 - 1.344. What is the fourth biggest value in -3, x, -2\/13, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t - 4. What is u(6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 6. Calculate the highest common divisor of 69 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owc when three letters picked without replacement from {l: 1, w: 2, o: 7, d: 1, c: 4}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**5\/5 - 548*w**4 - 491772*w**3\/5 - 1533740*w**2 - 13873024*w\/5 - 1338672 = 0?\nAnswer: -334, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -15. Suppose -3*j - 20 = -t*j. Suppose j*q = -q - 25. Is -5 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86284 - -115569. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.099 + -100.901. Let c = -100.07 - q. Let j = c + -1.03. Is j >= -19\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11105, 11097, 11071, 11021, 10941, 10825, 10667?\n\"Answer: -o**3 - 3*o**2 + 8*o + 11101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -26. Let g be u\/(-4) + 2 + (-1 - -2). Let b(r) = 6 + 0 + 2 - 7*r**g - 2 - r**3. Determine b(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*y + 4*y - 30*y.\nAnswer: -52*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6226.\nAnswer: 2, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + j - 304. Let s(q) = 2*q**2. Give h(s(b)).\nAnswer: -4*b**4 + 2*b**2 - 304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -52, -182, -438, -862, -1496?\nAnswer: -2382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 14*b**2 - 11*b - 18. Let m = 46 + -33. Let s be f(m). Solve 5*w - 3 = 2*c, -s = c + c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 581*l - 586*l + 30, u = -3*l + 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2610*r - 33942. Give c(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 6957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 12:48 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135444, 135437, 135430?\nAnswer: 135423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -1. Let z = -70.9 + 75. Let m = 4 - z. Which is the nearest to m? (a) 0.4 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:26 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -248138, -496268, -744398?\nAnswer: -992528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -25*u**2 - 3. Let q(k) = 24*k**2 + k + 3. Let d(c) = -4*f(c) - 5*q(c). Let l(p) = -7*p**2 - 2*p - 1. Determine -6*d(b) + 17*l(b).\nAnswer: b**2 - 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809855914.\nAnswer: 2, 7, 29, 601, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 26. Solve 0 - 12 = z*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 4:49 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950 is divided by 874?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -3*j - 0*j - b, -4*b + 279 = 3*j. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.36 - -0.4. Round i to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -16*y**4\/19 - 668*y**3\/19 - 3870*y**2\/19 + 11624*y\/19 - 4760\/19 = 0.\nAnswer: -34, -10, 1\/2, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.986 - 109.87191625.\nAnswer: -112.85791625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3926410*x. Let d(m) = -8*m**2. What is a(d(z))?\nAnswer: -31411280*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 5 = -176. Let u = v + 73. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50797225 to the power of 1\/2, to the nearest integer?\nAnswer: 7127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9831 and 947306964.\nAnswer: 947297133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 1:31 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 3:49 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, u: 2, b: 3, a: 4, c: 1}. What is prob of picking 1 c and 2 a?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (100\/(-175))\/((-2)\/7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224086662 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420) + (sqrt(420) - 2*(sqrt(420) - (sqrt(420)*-1 + sqrt(420)))) + sqrt(420))\/sqrt(10))\/(sqrt(54)\/(-1*sqrt(9)*-5)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4945441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 52, -5, -1\/8, 5 in ascending order.\nAnswer: -8, -5, -1\/8, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 33*h**2. Let y(p) = p - 1129. Calculate o(y(c)).\nAnswer: 33*c**2 - 74514*c + 42063153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 14125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 2337016?\nAnswer: 2337022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*l = -f + 23, -5*l - 16 = -2*f. Suppose -6*o + 1176 = -o + 3*b, -b - 714 = -f*o. What is the tens digit of ((-22)\/(-33))\/(2\/o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9 + 3.3. Which is the nearest to 1? (a) 0 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2515 divided by -87424.\nAnswer: 2515\/87424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/2905 - 223681\/11620. Let s = 52\/75 - -1121\/150. Find the common denominator of o and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 5*z**3\/3 - z**2 + 48*z - 167. What is the derivative of y(m) wrt m?\nAnswer: 10*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 5:01 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1908841.\nAnswer: 11, 173531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2449 is divided by 276?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 91277343 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31.6 or 2\/927375?\nAnswer: 2\/927375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1065.4121 - 0.5.\nAnswer: -1065.9121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsevggaavwgs. Give prob of sequence ses.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8378717 tonnes?\nAnswer: 837871700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -239 - -219.7. Let p = -17 - v. Round p to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9857600911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 26*l + 952. Let s = l + 121. Solve -s*y = -3*w - 7*y + 34, 5*y = 25 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12d2d9 (base 14) in base 6?\nAnswer: -21541251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/24 and 23\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4801733 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/2142 and -26\/93673485.\nAnswer: 1311428790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 - 2660452033.907.\nAnswer: -2660452023.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {q: 1, m: 8, u: 10}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2)*((-58368)\/(-144))\/(-16))\/((-24)\/18)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -228 - -389. Solve -34*r = 111 + o for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 0, -79, -16?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.2 (b) 6 (c) -1\/594 (d) 11 (e) -0.1 (f) -5 (g) -6\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 d when three letters picked without replacement from {d: 1, e: 14}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -835.01415 - -835. Round u to 4 decimal places.\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + 49 + 12 + 1 + 13.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189989.\nAnswer: 189989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, -1\/8, -40?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjjqjwjjwjjw. Give prob of picking 2 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 510770?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**3 + 6*h**2 - 4*h - 4. Let w(x) be the second derivative of x**5\/5 - 7*x**4\/12 + 5*x**3\/6 + 2*x**2 + 15*x - 77. What is 5*t(j) + 4*w(j)?\nAnswer: j**3 + 2*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 50?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -193 + 69*z**4 + 193 + (2*z + 2*z**2 - 2*z)*(-2*z**2 + 2*z**2 - 3*z**2) - 2*z**4 - 4*z + 4*z.\nAnswer: 61*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 23. Suppose d = -20*m + 17*m - 3. Let t(n) = -5*n - 1. Give t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 420766*b**2*m - 627310*b**2 wrt m?\nAnswer: 420766*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*q + 1 = -5*u, -5*u = -4*q - 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 13, h: 3}. Give prob of picking 4 j.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27\/15)\/(21\/70). Suppose 2*h - h - m = 0. Calculate the remainder when 27 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 10:25 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u + 2*u + (2*u - 3*u - u)*(2 + 3 - 3))*(5439*u - 1853*u + 9690*u) + 2 + 2*u**2 - 2.\nAnswer: -39826*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -2\/9 (c) 28\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c + c)*(-2214 - 481 - 761).\nAnswer: -6912*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -63 + 15. Let r = j - -11. Let g = 13 + -27\/2. Is r at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-1*(-3 + 1)). Suppose 4*g + 2*x - 40 = 0, -g + 3 = -i*x - 2. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2875845 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) -1\/5 (b) 0.6 (c) -16 (d) -1\/2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -240815 + 412306. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 7*y**6\/6 - y**5\/20 + 1274*y**2 + 9*y + 69. Find the first derivative of f(c) wrt c.\nAnswer: 140*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3126378, -6252758, -9379138, -12505518, -15631898?\n\"Answer: -3126380*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 20*n**2 + 19*n - 2. Let o be (-279)\/15 + (-6)\/15. Let g be m(o). Is 13 a factor of g - (4\/(-4) + 1) - -73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1529\/441 + -159\/49. Which is the closest to p? (a) 12\/7 (b) -0.2 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -8)*-1 - (-24)\/6. Solve 2*t - t - 3 = l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 + 203 = 9*r. What is the highest common divisor of 33 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3330\/(-50)*((-24)\/84)\/(3\/2765).\nAnswer: 2, 3, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 10. Let w(z) = 1. Let y(k) = 2*w(k) - x(k). Suppose 2*l - 12 = 4. List the prime factors of y(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*a - 474 - 2244. Let c = a + 153. Solve 0 = i - 2, c*x - 3*i = 2*i - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 3 - (-5 + (1 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 82\/26 - 16\/104. What is the units digit of (7\/t + -2)*189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-35))\/((-2)\/5) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -44. Suppose -3*t = -u + 15. Suppose -1 = t*x - 11. Which is greater: x or 1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(13\/7))\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9247, 9249, 9251, 9253?\nAnswer: 9255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*q - 10068 + 2414 for q.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 331458.15 to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 10 = -6*x. Suppose -5*i = -x*s + s - 21, -10 = -2*i. Calculate the greatest common factor of s and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 84*s - 106*s + 110. Solve 4*o + 19 = s*d + 6, -4*d + 32 = 4*o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/930 and 53\/2139?\nAnswer: 21390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.53 + -0.53. Let y = 290.1 + -198.4. Let c = y - 92. What is the nearest to 3\/5 in z, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 33*k - 114. What is j(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -592 (b) -0.1 (c) 3\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -134535 (base 8) in base 9?\nAnswer: -72075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 2:00 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8 = -3*v - v, 4*a + 5*v = 8. What is the remainder when 21 is divided by ((-11)\/22)\/(a\/(-32))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 1 - 166*k**2 + 0*k**4 + 0*k**3 + 3\/10*k**5 + 0*k. Let w(c) be the third derivative of -c**4\/8 + 2*c**2. What is f(w(r))?\nAnswer: 162*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47436.\nAnswer: 2, 3, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/(-266) - ((-4)\/(-63))\/(-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d**2 + 28*d**2 - 51*d**2 + 4032686*d**3.\nAnswer: 4032686*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*b - 12 + 30, 5*b + 27 = 4*x. Let u be x\/2*(28\/(-6) + 0). Does 22 divide 8*12 + (u - 28\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 105.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 400 - 2?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5)*u\/u**4)\/((u\/((u*u**3)\/u))\/u*u**(4\/3)) assuming u is positive.\nAnswer: u**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**4 + 3*g**2 - 3*g**2)*(-1 - 4 + 4).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 3774904.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**4\/6 + 4*y**2. Let w(p) = p - 15 + 15. Give w(l(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 158 = 5*w - 106, -2*r = 2*w + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 70499?\nAnswer: 634491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**2 - 2*h - 1. Let q(n) = -38*n**2 - 24*n - 12. Let o(i) = -q(i) + 12*u(i). Let v(p) = p + 1225. Calculate v(o(x)).\nAnswer: 2*x**2 + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x. Let a(b) = 4*b. Suppose -j - 33 = 2*j. Let v = j - -6. Give v*a(k) + 7*g(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -9*v**2 + 43*v + 4. Determine b(6).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - y - 2*g - 2, 0 = g + 2. Let t be (1 - (-32)\/13) + -3. Let l = t - 25\/26. Put y, l, 2\/7 in increasing order.\nAnswer: l, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 + 10*y**2 - 3*y**2)*(3 - 6 - 5)*(-2 + 2 + 1)*(-46*y + 2*y - 33*y) to the form c*y + t*y**3 + u + h*y**2 and give t.\nAnswer: 3696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 61*i - 7. Let d be y(7). Let m = -377 + d. What is the remainder when 298 is divided by m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 115523*n - 4. Let z(j) = -74*j. What is h(z(p))?\nAnswer: -8548702*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 154 + 36?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (-1*sqrt(208) - sqrt(208)) + -4).\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) 0.2 (c) -2 (d) -4 (e) 8.7269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(0*n**5 + 0*n**5 + 2*n**5) - 5*n**3 + 2*n**5 + 3*n**3 + 6*n**5.\nAnswer: 6*n**5 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:21 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p**2 - 29*p**2 + 45*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 0.1 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 0, -5 in descending order.\nAnswer: 76, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g*g**7)))\/g)\/((g\/((g*g*g**4)\/g))\/g))**(-35) assuming g is positive.\nAnswer: g**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.6 + 1.6. Let w = o + 26. Let b = 9 - w. What is the closest to -0.1 in 0, 5, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 + 72. Solve -2*d - 5*r - 15 = 0, 1 = -5*d - n*r + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, b: 1, z: 1, r: 2, c: 1}. Give prob of picking 1 b and 3 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000445106 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/5 - 3*u**4\/5.\nAnswer: -u**4*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = -23 + 23. Let a be (l\/(4\/1))\/(-1*4). Let q(k) = -k**2 + 3. What is q(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y = 140. Suppose -2*s - y = -7*s. Calculate the common denominator of s and ((-27)\/24)\/(-3) - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.08 (c) -3\/4 (d) -0.7 (e) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 10*a + 7. Determine f(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6885*k**3*r**2 + 2*k**2 + 7*k*r**2 - 7*r**2 + 11*r wrt k?\nAnswer: 41310*k*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**2 - 5*f**2 + 2*f**2)*(-2*f**3 - 3*f + 3*f)*(-21 - 33 + 19).\nAnswer: 210*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4\/5))\/(q\/q**(-4\/7)))\/((q\/(q**(-4\/9)*q))\/q**(-7)) assuming q is positive.\nAnswer: q**(-2777\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33\/2 + 16. Let v be (2\/3)\/((-44)\/12). Which is greater: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(3) - sqrt(3)*1) - sqrt(27)\/(sqrt(18)\/sqrt(2))) + ((-1 + sqrt(300) - (sqrt(33)*-2)\/sqrt(11)) + 0)**2.\nAnswer: -25*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 208071 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15669965 from -49.\nAnswer: 15669916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 - 12*w + 2. Let z be y(5). Find the second derivative of 3*d + 17 - z - 3*d**2 wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/3801 and 12\/49.\nAnswer: 26607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7344465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73\/9 - -8*20\/(-1440).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5898 or -41282\/7?\nAnswer: -5898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**4 - 6*z**3 + 7*z**2 - 7*z + 7. Let j(l) = l**4 - 3*l**3 + 3*l**2 - 3*l + 3. Let u(y) = -7*j(y) + 3*x(y). Factor u(t).\nAnswer: -t**3*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -97, -293, -649, -1213, -2033, -3157?\n\"Answer: -8*n**3 - 8*n**2 - 4*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*f**4 - 168 + 0*f**3 - 36 - 2*f**3 + f**2 + 208 as i*f**2 + l*f**3 + y*f**4 + c*f + g and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 14*y + 4. Let b be c(-7). Let x be ((-30)\/b)\/(1 + 6\/(-9)). Solve -a - x = 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23, 28, 33?\n\"Answer: 5*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence giau when four letters picked without replacement from {u: 5, i: 2, y: 1, a: 2, n: 8, g: 2}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 908 - 883 = 5*y. Put y, 10, 0, -24 in ascending order.\nAnswer: -24, 0, y, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -70, 3, -313\/9, 5\/2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1335000 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/2 + 22*l**2 - 433*l\/2 - 525.\nAnswer: -(l - 25)*(l - 21)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8507.87326197 + -0.04346197. Let a = f + -8511. Let k = a - -3.1. Round k to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1228, -164.6.\nAnswer: -1228, -164.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 2*p + 1. Let r be n(-4). Suppose 3*l = -0*l + r. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*t + 2042 = 6280 - 358 + 12570 for t.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 5:10 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*h**4 - 604*h**3 + 2*h**2 + h - 1650291?\nAnswer: 40*h**3 - 1812*h**2 + 4*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y + 5*u - 3*u, 2*u + 6 = 2*y. Let b = 5 + -2. What is the second smallest value in y, -2\/11, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -505061 and 18494.8.\nAnswer: -486566.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-48)\/(-9)))\/((-5)\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 64395 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, r: 4, y: 1, d: 2, a: 4, k: 2}. What is prob of sequence rc?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqq. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*r**2 + 34*r**2 + 0 + 1 + 7*r**4)*(-563 + 205 - 4450) to v*r**4 + n*r + q*r**2 + w + a*r**3 and give w.\nAnswer: -4808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 930079867 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w - 41*w - 1694 = 157*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f + 24. Calculate the remainder when 1*-1 - (0 - 44) is divided by v(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 5*b**4\/12 - 7*b**3\/2 - 126*b**2. Calculate the remainder when 225 is divided by l(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -12. Let d(z) = 62*z**3 + z**2 - 1. Calculate the remainder when d(1) is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**5 - 75*r**4 - 330*r**3 - 140*r**2 + 1560*r + 1440 = 0. What is r?\nAnswer: -6, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 892*f**2 + 21*f + 331. Let t(r) = 1784*r**2 + 49*r + 662. Let c(m) = 7*q(m) - 3*t(m). Differentiate c(w) with respect to w.\nAnswer: 1784*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68689*94.\nAnswer: 6456766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 5107*i**4\/6 + 5654*i**3\/3 + 2*i + 8477. Find the second derivative of q(r) wrt r.\nAnswer: 20428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.12 rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -597 + 601. Let v be (1 + -2*1)*0. Suppose -2*r + i*r - 26 = v. Calculate the remainder when r is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 7. Let n be (1\/2)\/((-9)\/54). Which is the nearest to -2\/5? (a) -0.3 (b) z (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 5*w - 3. Let a be t(-6). Solve 2*k - a = 3*p - 0*k, -3*p - 3 = 4*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 20*k - 54 = -390 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -11c?\nAnswer: 11e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 8 = 38, -321 = -4*u + s. What is the remainder when 12480 is divided by u?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 172, 328, 476, 622, 772?\n\"Answer: j**3 - 10*j**2 + 179*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 421\/3*k**2 - 418*k - 1\/3*k**3.\nAnswer: -k*(k + 3)*(k + 418)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44391923 to the power of 1\/2, to the nearest integer?\nAnswer: 6663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -231965.9429590401 - -5.6223690401. Let y = 232096.32 + p. Let j = y + -136. What is j rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -326 + 653\/2. Suppose d**5 - d**3 + 0 + 0*d - 1\/2*d**4 + t*d**2 = 0. Calculate d.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jryg when four letters picked without replacement from {g: 4, r: 4, m: 2, j: 1, y: 1, d: 2}.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, f: 7, m: 9}. What is prob of picking 2 m and 2 q?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -8468\/825?\nAnswer: -8468\/825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 1. Let o = -16 - -11. Let t = -3 - o. Suppose 3*w = 3*y - 1 - t, -2*y = -10. Determine m(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-4)\/(-5)*15\/30. Which is the nearest to 0? (a) 0.2 (b) k (c) 0.01 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -10 (b) -0.1 (c) 6 (d) -8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 26831698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -2\/25, -0.3, 0.4, -1\/376, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2771 + 2773. What is the biggest value in 71\/6, 0, v, -3?\nAnswer: 71\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/129 and 23\/4.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*l - 130 = 0, 5*v = 4*v - 2*l + 38. Calculate the highest common divisor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, 7, -2, 2\/39, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*t - 2*t - 54, 5*z + 59 = 3*t. Let c = 142 + t. Let m = 1177\/7 - c. Calculate the common denominator of -32\/9 and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20577700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 7*o**5\/20 - o**4\/6 + o**3\/2 - o**2 + o - 49. Calculate p(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*4*(-2)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 8*o = 28, -5*o + 0*o + 2 = -3 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3290292?\nAnswer: 2, 3, 91397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -159 + 304. Suppose -j = -a + 95. Let g be (-1)\/3*75\/j. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -4, -69 in descending order.\nAnswer: 5, -2, -4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-75 - (39 - 105))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + t**3 - 27*t**2 + 216822*t - 216829*t - 25*t**2 to a*t**3 + c*t**2 + p + v*t and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -4. Let m be 448\/21*t\/6. Let z = 240 - m. What is the greatest common factor of z and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/5*123\/(-66) and 8*(-20)\/25 + -2.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11aa - 2e1?\nAnswer: -149b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k = 0. Suppose k = -2*d - 2*d + 4*t - 1232, 3 = t. Let j be (-2)\/8 + d\/(-20). Solve -3*n + 4*q = j, 0 = -3*n + 2*n - 2*q - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 - 1 + 1)*((-2*o + 2*o + o)*(-2 + 0 + 1) + 0 - 3*o + 0 + o - 5*o + o) as d + s*o**3 + n*o + l*o**2 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 14) in base 4?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -112, 12, -4, -3 in descending order.\nAnswer: 12, 5, 0, -3, -4, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -81*y**5 - 2439*y**4 - 15924*y**3 + 36492*y**2 - 21120*y + 3072 = 0.\nAnswer: -16, 2\/9, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**5\/15 - 5*s**4\/2 - 197*s**3\/9 - 80*s**2 - 132*s + 538. Factor z(w).\nAnswer: -(w + 2)*(w + 3)**2*(w + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.2, -0.1, -5, 1.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/96 and 131\/18690?\nAnswer: 299040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - g = -14, 0 = 2*f + 6*g - 4*g - 16. Solve f = c + 5*k, 0*k - k = 2*c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/9)\/(14\/(-6)). Let l = 2.5 + 0.5. Let i = l + 1. Which is the second smallest value? (a) v (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**20*z**(-1) assuming z is positive.\nAnswer: z**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -20. Let k = g + -16. Is (-6)\/(-1 - k\/16) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 0.04, -171\/7, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*2\/(-4) - -7. Suppose 3*a = -5*j + 51846, 0*j - r*a + 31107 = 3*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -114*f + 110*f + 5260. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 7 - -3)*(-18 + (-14 - 868\/(-21)))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43993.99 to the nearest one hundred.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000092161 to seven dps.\nAnswer: -0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 3\/19, -0.02, 1\/8, 0.2, 1 in decreasing order.\nAnswer: 1, 0.2, 3\/19, 1\/8, -0.02, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/74 and -1\/2.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*w - 158 = -55*w + 23*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 3*f + 3*f**3 + (5*f**2 - 4*f**2 + f**2)*(2 - 2*f - 4 + 3*f).\nAnswer: 5*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*k - 2*f + 105, -f + 36 = -k. Put -1, 0, k in descending order.\nAnswer: 0, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -591 (base 10) to base 9\nAnswer: -726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2322.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = 3*f, -5*f - 7 = -2*f - 5*v. Let r be f\/(-1) + 3\/1. Put r, -2, -4 in descending order.\nAnswer: r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2018*c + 3772 = 868*c + 986*c for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 x when three letters picked without replacement from wwtmtwxxtmfwftxfx?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**2*i*r*w + c**2*r**2*w - 27*c**2*r*w + 70*c*i*r**2 - 2*c*i*r*w - 3*c*i*w - 2*c*i + 2*c*r**2 + w wrt c.\nAnswer: -12*i*r*w + 2*r**2*w - 54*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2354*v - 44822. What is f(-19)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 27668101 - 27668101 - 4*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 780, 1177, 1574, 1971, 2368, 2765?\n\"Answer: 397*j + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i + 4. Let b be v(-11). Let w = b + 0. What are the prime factors of w?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -t + 87, -t + 5*y + 115 = 10. Suppose 0 = 10*f - 13*f + t. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95109023\/567 + -167741. Let q = j - -10\/81. Suppose 3*w = -8 - 1. What is the third smallest value in 4, q, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + u + 1196. What is d(35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*1*(-6)\/150*-5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9988\/9534 - ((-4)\/(-6))\/(2\/3).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**5\/30 - 5*k**2. Let q(x) be the second derivative of 0*x**2 - x - 1\/6*x**4 + 0*x**3 + 0. Calculate j(q(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 3755727065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -45599499 - -5?\nAnswer: -45599494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 155 or 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1368584 is divided by 255?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 99*a**2 + 45*a - 191. Let x be n(-49). Solve -x*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3193108?\nAnswer: 2, 139, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*g - 3, 3*g + 3 + 0 = 0. Is 8\/21 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.433 + -0.433004852. Round r to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*h + 3 = -3*y + 467*h - 11, 27 = y + 30*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13055 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 3553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3181*u + 4258*u - 644*u + 2008*u.\nAnswer: 8803*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3636359 to the nearest one thousand.\nAnswer: -3636000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 10*m**3 + 2 + 7 + 10 as y*m + w*m**2 + c*m**3 + u and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k. Find the third derivative of 0*i + k*i - i**2 - i**6 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5226*w**3 - 40708*w**2 - 888585078*w.\nAnswer: 31356*w - 81416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 - 1) - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*r = -71*r + 68*r - 1650 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - p**2 + p. Let w(b) = -5*b**3 - 8*b**2 + 7*b. Let a(z) = -6*q(z) + w(z). Suppose -2 + 8 = -t. Let y = t - -7. Calculate a(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -355379 times -0.087?\nAnswer: 30917.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - f. Let y be a(0). Let l(q) be the first derivative of 3 + y*q**4 + 0*q**2 + 1\/5*q**5 + 0*q**3 - 3*q. What is the derivative of l(c) wrt c?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 966*t**3 - 111*t**3 + 1003*t**3.\nAnswer: 1858*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250738 is divided by 321?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -83, 5.\nAnswer: -83, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108529?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by -19704\nAnswer: 41\/19704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(4 + -6) - 738\/450*-8\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 1337, 1, -6, -2 in descending order.\nAnswer: 1337, 3, 1, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 10*r**2 - 10*r - 1. Let h be g(-9). Solve 4*q + h = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*s - 40 = -253*s - k, 5*k - 95 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 2211220?\nAnswer: -2211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177364*q**2*z**2 - q**2*z - 661*q**2 - 3*q*z**2 + 2*q*z - 59*q + 7*z**2 - 2*z - 20 wrt z.\nAnswer: 354728*q**2 - 6*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 31*r**3 - 4088*r**2 - 501*r - 3567. What is m(132)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -56*k - 207. Suppose 8 = 5*v - 127. What is the remainder when c(-8) is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1995 by 267572.\nAnswer: -1995\/267572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -64*h - 5 + 4*h**2 - 65*h + 131*h. List the prime factors of i(-4).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-2\/9)\/j*j**22*(j*j*j**(-1\/24))\/(j\/(j*j**13*j*j)) assuming j is positive.\nAnswer: j**(2789\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z + 1. Let p be k(0). List the prime factors of p + 7 + 3\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - m + 480 = 492, 11 = -i - 3*m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 750 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -90 - -c4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14 - 2) + -9 + 624\/(-244). Is -1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8\/9 (b) 0.2 (c) -1\/4 (d) -1\/2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-28)\/(-1680)*(-32)\/(-6)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 17*t**2 - t - 35. Let b be a(-16). Let m = 386 - b. What are the prime factors of m?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50294 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 11*s**2 - 132*s + 131. Calculate r(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 571 divide 982120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = 0, -5*w + 20 = -2*w + 5*k. Let r(c) be the second derivative of -c**3\/6 + 9*c**2\/2 + c. What is r(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.6176 * -1.336.\nAnswer: 10.1771136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95841 + -95839. Suppose -3*p = -11 + 2. Solve -c*i + p = -0*i - 3*u, 0 = i + 3*u + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -81d + -8e6c?\nAnswer: -9689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9781?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, i: 9}. What is prob of picking 2 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-821280)\/(-517725) + (-2)\/65\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 + 126727*h**2 + 1267245*h + 9504275\/3.\nAnswer: (h + 5)**2*(h + 380171)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 88053 - 28725. What are the prime factors of l?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(64)\/sqrt(4))\/sqrt(200))**2.\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(15*n - 14*n + 45*n)*(1 - 1 + 1).\nAnswer: -92*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 - -151. Let m = u - 167. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94*k**5 - 177*k**3 - 333*k**2 - 4791870*k + 2?\nAnswer: 1880*k**3 - 1062*k - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/167 - -829\/501. Let l = 55 + -55.3. Let y = -8 + 12. What is the second biggest value in y, l, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11403841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 - 6 = 0. Let l(p) = -13*p - 28. Let b(z) = -11*z - 25. Let a(q) = 7*b(q) - 6*l(q). What is a(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -b - 3*s, -3*b - s = 0. Suppose z - 451 + 104 = b. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d - 2. Let i be -4*2\/8*-2. What is r(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27 from -0.38935.\nAnswer: 26.61065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 185005*d - 7. Suppose p + 16 = 2*p. Let f(w) = -925026*w + 36. Let c(y) = p*v(y) + 3*f(y). Let o be c(2). Round o to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-3) - (-4)\/6. Let r = j - -6. Factor -8 - r*s + 6*s - 6*s - 2*s**2 - 4*s.\nAnswer: -2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (378\/(-70))\/3*(-15)\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4\/7 - 2*r**3\/7 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2324 + 17?\nAnswer: -230b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -58 + 50 - (4 + -6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from asatjskskitkt.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2282)\/(-91) + -7 + (-8)\/104 and 104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*(t*t**(-3\/4)\/t)\/t))\/t)\/((t*t**(1\/11))\/t)*t**5*t*t*t\/t**(-3))\/(((t**4*t)\/(t*t**(-1\/2)\/t))\/(t**(-2\/7)*t)**(14\/9)) assuming t is positive.\nAnswer: t**(2879\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 3 (b) -1\/2 (c) -1\/7 (d) 61\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24022717?\nAnswer: 17, 349, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**5 - 2*m**5 + 4*m**5 + (-m - 5*m + 5*m)*(-4*m**4 + 2*m**4 - m**4).\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2788)\/(-40) + -69)*(-6)\/(-7)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21321 greater than -2\/3635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 35430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**4 - 30*q**3 - 2*q**2 + 30*q = 0.\nAnswer: -1, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(-2) + 2 + 0 + -2. Let q be -3 + 2*4\/h + 4729. Let z = q - 33016\/7. What is the common denominator of -143\/6 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) -0.3 (c) 1\/2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 731 - 9?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**4\/5 - 1876*c**3\/5 + 11486*c**2\/5 + 148984*c\/5 - 158592\/5 = 0.\nAnswer: -944, -7, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144)\/(sqrt(24)\/sqrt(2)))\/(sqrt(576) - 2*sqrt(576)) - 1*(-1*sqrt(108)*6 + sqrt(108)))*-4)**2.\nAnswer: 128881\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1006 - 1006. Let a(v) be the first derivative of b*v**3 + 0*v**4 + 4 + 0*v - 9\/5*v**5 - 2*v**2. Find the second derivative of a(r) wrt r.\nAnswer: -108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-50))\/((-2)\/5). Let j(d) be the first derivative of 0*d + 0*d**2 - 2\/3*d**3 - p*d**4 + 2. What is the third derivative of j(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3685051.\nAnswer: 3685051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Let w(d) = -2 + 2*d + u. Let m(v) = -v**2 - 56 + 56. Give m(w(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 7*u**2 - 8*u - 8. Let k be r(-6). Is k greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.59492 rounded to 1 decimal place?\nAnswer: -19.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 820*a**2 - 9220*a + 15200.\nAnswer: -5*(a - 152)*(a - 10)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -871 divided by 5?\nAnswer: -871\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:01 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -299550 divided by 6\nAnswer: -49925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*u - 8. Let y = -11 + u. What is the units digit of 2\/y + (-94)\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28619 is divided by 124?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -136540684.2 rounded to the nearest 10000?\nAnswer: -136540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 20 = -22*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 206\/(-16) + ((-456)\/(-24) - 6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 131*p - 122751 - 479980. List the prime factors of p.\nAnswer: 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + q + 3. Let b be n(2). Solve -5*v = b + 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1680 divided by -84?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from xwxxxw.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.5.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.06, 0.3, -0.4, 1.22 in increasing order.\nAnswer: -0.4, -0.06, 0.3, 0.5, 1.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/1305 - -56111\/2610. Calculate the common denominator of x and 7\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -151, 4, 15 in decreasing order.\nAnswer: 15, 4, 3, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 3:47 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (1 - -3) + 6. What is the highest common factor of f and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-10 + -7 + 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.1 - 7.09624. What is l rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tik when three letters picked without replacement from {i: 4, e: 1, t: 6, k: 6}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1001, 3908, 8735, 15482, 24149, 34736?\n\"Answer: 960*s**2 + 27*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/27*-6 - 0. Suppose 3*u + 6 = -4*l - 11, u - l = -1. What is the closest to 2 in x, u, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4140 and 4600?\nAnswer: 41400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-181631)\/(-92))\/(-149))\/(((-3)\/9)\/((-4)\/(-3))).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mal when three letters picked without replacement from llmamisslss?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 6, -1\/9, 101, -3, 22.\nAnswer: -3, -1\/9, 3\/2, 6, 22, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:02 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1624 minus -3?\nAnswer: 2.8376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 0 + -1*sqrt(7)*6)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + m**2 + 2*m + 4. Let u be w(3). Suppose 174 = 4*n - u. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99047 and 2428504.\nAnswer: 973830104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5, 0 = -2*d + 3*d + c + 5. Let y be ((-2)\/d)\/((-1)\/(-6)). Suppose -y*i + 5*n + 9 = 0, -2*i = -5*i - 3*n + 9. Solve l + 10 = i*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141291 is divided by 617?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7, 0.021, 0.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248932 is divided by 11853?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-28)*(-5 - -1). Suppose 0 = 2*i - 2 - s, -3*h - i - 12958 = 0. What is h rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 25569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5523658199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56462098 and 85932.\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + s**2 + 2*s + (-3 - 1 + 2)*(-4 + 2*s**2 + 4) + 127*s**2 - 45*s**2 - 42*s**2 to r*s**2 + u*s + y and give r.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s**2 - 4*s**2 + 0*s**2)*(s**2 + s**2 - 4*s**2) + (-98 + 98 + 21*s)*(-5*s**3 - 8*s**3 + 3*s**3).\nAnswer: -186*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*u - 79 - 66 = 0, -h + 3*u = -135. What is the greatest common factor of 329 and h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74267872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*g - 321 = 0, -23*o - 4*g + 356 = -22*o. Calculate the greatest common divisor of 189 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 - -25. Let v = a + 63.88. What is v rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 - 528 = -240*z. Solve 2*s = -s - z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -377, 41, -1.\nAnswer: -377, -1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**6\/6 - p**5\/20 - 2*p**3 - 73*p**2. What is the third derivative of d(r) wrt r?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 7 - 3) + 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g - 5*h, 2*h = 4*g. Let b = -0.4 + -0.1. Let u = b - -0.8. What is the biggest value in 3, g, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -167, -678, -1531, -2726, -4263, -6142, -8363?\n\"Answer: -171*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(3*sqrt(363)))\/((-1*sqrt(18))\/sqrt(3) - sqrt(6)*2*-2).\nAnswer: sqrt(5)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 e, and 2 m when four letters picked without replacement from {e: 1, l: 1, q: 5, b: 2, m: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422*i - 380*i = -1806. Let h = 55\/21 + -7\/3. Sort -0.1, h, i in descending order.\nAnswer: h, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1513517, 3027187, 4540857, 6054527, 7568197, 9081867?\n\"Answer: 1513670*w - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 1275430170.\nAnswer: 1275430171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*f - 14. Suppose 10*p - 5*p - f = -2*b, -5*b = 4*p - 74. Suppose -h + b = -7. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n, 0 = 2*o + 3*o - 5*n - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60003*k - 3808 = 60139*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 22. Let w = 2.1 - -9.9. Let x = w - s. Which is the third smallest value? (a) x (b) -2 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -8\/9207601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five sixths of a century in months?\nAnswer: 17000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 16*j - 19*j - 151 + 79.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90827?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 736596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z**3 + 16 + 11*z + 52*z - 18 - 6*z**3 - 2*z**2 to y + q*z**2 + h*z**3 + s*z and give s.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3 - 4210*f**2 + 402976*f = 0.\nAnswer: 0, 98, 4112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 3:21 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c5 - 19?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 15 - 75 = 5*t, 3*v - 59 = 4*t. Solve 3 = -4*p + 3*j + v, -4*j = -p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14384 = -4*y - 4*u, 3*y + 4*u = 6978 + 3810. Let c = 39530\/11 - y. Calculate the common denominator of c and 52\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 2:59 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379 = -4*t - 11*t + 424. Calculate the least common multiple of 1505 and t.\nAnswer: 4515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -53, 5, 24.64, -2, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05524 + 60.60476. Let k = j - 61. Let i = k + 0.61. What is i rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/84 and -169\/2436.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 12*p + 30. Let y be d(9). Suppose 3*q - 7*q = -y*q. Solve q = n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k - 4792 + 2326 + 2367)*(-2*k**3 + 6*k + 0*k + 4*k**3) to q*k**2 + c*k**3 + p*k + z*k**4 + l and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h - 3. Let f be b(10). Let k = 11 + f. List the prime factors of k + -6 - (-6 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iioziioziiiiiiioii?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 9 = 4*n, 2*v - 4 = 6*v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73.4124 - 73.8. Let r = 0.0124 - n. Let s = -23\/3 + 158\/21. Sort s, -0.5, r in ascending order.\nAnswer: -0.5, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 e, and 1 r when four letters picked without replacement from eieerierie?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83096\/3570 - 24) + 12\/14?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - (1 + 3))*(170\/(-12))\/(-17). Which is the smallest value? (a) 1 (b) j (c) -1.1 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 3*u - 12, -h - h - 24 = 6*u. Suppose 2*z + 1037 = g + 3*z, 2*z + 8 = h. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2 + 2175*g - 392958 = 0.\nAnswer: 342, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-four fifths of a decade?\nAnswer: 1776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 m when three letters picked without replacement from smmmmsmmmmsmssss?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 11008.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12b83 - 2?\nAnswer: 12b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = 0, 2*h - 5*f - 78 = -2*f. Let z = h + -36. Which is the second smallest value? (a) z (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2. Let l(m) be the third derivative of 4289*m**4\/24 + m**2 + 957. What is l(w(i))?\nAnswer: 8578*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 0*q + q**2)*(-681978 + 2*q + 681978 - 1891*q**2) to t*q**4 + x + i*q + z*q**3 + v*q**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.1 + -1.1. Which is the closest to 2\/13? (a) -0.3 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1419, -0.094, -2\/9.\nAnswer: -1419, -2\/9, -0.094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 = -n, -3*n + 3 = 2*n + 3*z. What is the nearest to 1 in 0, n, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -514*k**4*u**2 - 51*k**4*u + 13*u**2 - 701*u wrt k.\nAnswer: -2056*k**3*u**2 - 204*k**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 71. Let n(f) = -5*f**3 - 4*f**2 + 5. Let x be n(g). Let r = 271 - x. What are the prime factors of r?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - t - 2395 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498728883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**2 + 3*y - 3. Let h(f) = -24*f**2 + f - 6. Let w(a) = -203*a**2 + 8*a - 50. Let b(g) = 17*h(g) - 2*w(g). Calculate -5*b(u) + 3*p(u).\nAnswer: -2*u**2 + 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 38.05?\nAnswer: 43.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2239.\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 19*z + 2. Let x be i(-19). What is the first derivative of t**x + 3*t**2 + t**2 + 10 - t**2 wrt t?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59088 and 46128.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*o**2 + 4 + o + 2*o**3 - 139*o**2 + 0*o + 65*o**2 as x + z*o**3 + r*o + g*o**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5*(-3 + sqrt(405)) + (sqrt(405) + 0)*-1)*-2)**2.\nAnswer: -233280*sqrt(5) + 2131920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-16) - ((-189)\/(-180) + 1 + -3)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {d: 2, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/1152)\/((-6)\/8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 10:19 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 8*o - 55 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18 + 18)\/(2\/(1\/(-1))). Let u = 3 + 2. Let j(m) = 2*m + 2. Let n be j(7). Solve -u*q - 4 - n = v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188414914 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: What is 8712.405um in millimeters?\nAnswer: 8.712405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 285823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58238 and -0.3?\nAnswer: -17471.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 76*m + 7709. What is the lowest common multiple of w(-101) and 5700?\nAnswer: 62700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1333 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*f = -c - 145, 0 = -5*f + 5. What is the second smallest value in -1, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2\/6265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2 + 1722*n - 17120 = 0. Calculate n.\nAnswer: 10, 1712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 11:37 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mccmmmq. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3319, -4035, -4751, -5467, -6183, -6899?\n\"Answer: -716*h - 2603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izib. What is prob of sequence zib?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbjjbjjjjjjjjjjbbjj. What is prob of sequence bbj?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 + 13*w**3 - 8*w**3 - 6*w**3 - w - 4*w**2 as b + d*w**2 + q*w + m*w**4 + p*w**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(99)*1*-6)\/(6*4*sqrt(324))*-4.\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51414.\nAnswer: 2, 3, 11, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -2. Suppose 0 = 36*c + 36*c. Let s = -6 - -2. Put -3, c, b, s in ascending order.\nAnswer: s, -3, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + -10 + (90 - 74) - 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 56\/655 (b) -3\/4 (c) 0.3 (d) -6 (e) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -38498.\nAnswer: -47\/38498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 187136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-13) - 7\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 8*x**2 + 7*x - 7. Let o be c(7). Let p = o - -19. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -4. Suppose -t*a = -a - 10. Suppose 0 = -0*w - 5*w + 2*b - 4, -w = -a*b - 4. Put 0, w, -4 in increasing order.\nAnswer: -4, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40\/3 or -13?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.267024 decades to millennia.\nAnswer: 0.02267024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 18704185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 2*y - 6. What is the remainder when 112 is divided by d(-5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 a, and 1 j when three letters picked without replacement from mjmmmwhmwwa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46153?\nAnswer: 46153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 118163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 - 56*z + 114. Let r = 8869 + -8867. Calculate p(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/8, 9, 4.29, 4\/9 in ascending order.\nAnswer: 4\/9, 9\/8, 4.29, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4690570915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1186, -4675, -10464, -18559, -28966, -41691, -56740, -74119?\nAnswer: -93834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 + 54. Let c be (225\/15 - 12)\/((-1)\/11). Let m = y - c. What is the highest common factor of 60 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*j**2 + 429*j**2 - 859*j**2.\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqpqqqppqqppqpqp. What is prob of sequence qpp?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.027417015 and -1.\nAnswer: -0.027417015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 2*f - 2. Let b be 1\/(-4) - 34\/(-8). Suppose -5 = -b*w - 13. Calculate the smallest common multiple of 14 and a(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-20) - (-419)\/4. Is (-647)\/((-91)\/r + (-2)\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387 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 are the prime factors of 698364787?\nAnswer: 698364787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259647 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -8. Let n be (-5390)\/(-25) - (-2)\/5. Suppose u = m*u - n. What is the greatest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10110 is divided by 5053.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 401, 1004, 1997, 3380, 5153, 7316?\n\"Answer: 195*h**2 + 18*h + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20260 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*u**4\/13 + 168*u**3\/13 - 44*u**2\/13 - 168*u\/13 + 34\/13 = 0. Calculate u.\nAnswer: -17, -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -15*w. Let f(g) be the second derivative of 13*g**3\/6 + 222*g. What is i(f(j))?\nAnswer: -195*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 28*s - 386. Give c(-38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -103653.719 rounded to the nearest 100?\nAnswer: -103700","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33756*p**2*r**2 + p**2*r - 79*p**2 + p*r**2 + 77014705*p*r wrt p.\nAnswer: 67512*r**2 + 2*r - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, l: 10, u: 4}. Give prob of sequence lufl.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + -32. Suppose -w + r = d, 2*w + 60 = d + 6*w. Let l be ((-3 - 14\/(-4))*d)\/(-2). Is l at least -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 36*b**2 + 4*b + 3. Let k be z(18). What are the prime factors of (-3)\/2*(-50)\/k - -1332?\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2))**(4\/13)*(h**(-1))**(-36))\/(((h\/h**(-3))\/h**(2\/13))\/(h**(-1\/2))**(-47)) assuming h is positive.\nAnswer: h**(1451\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2685 - -2687. Sort -103, -4, 3, h.\nAnswer: -103, -4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 4*t**2 + 30*t + 110. Let l be r(-3). Is l < -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*40\/(-64)*4)\/((-4)\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k\/(k**2\/k))*k*k**(-2)*k)\/(k*(k*k**(2\/5)*k*k*k)\/k)**(-4\/31))\/((k**(2\/21)*(k**(3\/5)\/k*k)\/k*k)\/(k\/k**(-1))**(-43)) assuming k is positive.\nAnswer: k**(-55418\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 18. Suppose -2*a - 85 = -5*a + 5*o, -l*a + o = -149. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 96347.\nAnswer: 385388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 1 - (-1 - -24). Let h = -18 - z. Let j = 50 + -45. Solve 0 = -s - j*u - 24, 4*u + h + 14 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1162 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 18 (c) 11.6 (d) 8\/3 (e) -2 (f) -1\/7 (g) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -612866, -1225735, -1838604, -2451473, -3064342?\n\"Answer: -612869*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z + 0*z**3 - 131*z - 74*z**3 - 43*z**3 + 112*z.\nAnswer: -117*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**6\/6 - w**3 - 5. What is the third derivative of l(g) wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {c: 1, u: 3, w: 3, r: 4, n: 1, a: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*g - 2083*g + 1077702 = -6604*g - 5849*g for g.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540\/150 - 10 - 1673\/(-420)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**3\/3 - k**2 - 7*k. Let y(p) = p**2 - 11*p - 11. Let t(d) = 2*y(d) - 11*z(d). Let g(w) = 15*w. Determine t(g(r)).\nAnswer: 450*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 74\/12 + (-1)\/6. Let l(o) = -3*o - k + 2*o - 4*o + 2*o. Is 10 a factor of l(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(9\/5)\/(o*o\/o**(-1\/10)) assuming o is positive.\nAnswer: o**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -235 - -290. Calculate the highest common divisor of k and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 88*p**2 - 4*p + 1. List the prime factors of q(1).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9771173537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 22. What is the highest common factor of 4 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -153\nAnswer: -1\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/((-9)\/24) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(-5*(-1*sqrt(750) + sqrt(750)) + sqrt(750) + sqrt(750)))\/(-1*-2*sqrt(810) - (sqrt(810) + sqrt(810)*-2 + sqrt(810))*3).\nAnswer: -25*sqrt(3)\/9 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 52*q. Let a(n) = -3*n**2. Calculate y(a(z)).\nAnswer: -156*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76.9 - 83. Let o = 7.4 + l. Round o to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**4\/4 - r**3 - r**2\/2 - 3. Let f be k(-4). Solve -3*a = 2*a - f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/8 + 3\/2*-1. Let g(r) = 0 + 3 + 3*r + a - 2*r. What is the least common multiple of g(-3) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14352473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 6. Suppose -5*h - 61 = 74. Let b = 27 + h. What is u(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41054 (base 7) in base 8?\nAnswer: -23402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 15430?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 149*r - 440. Calculate the remainder when 154 is divided by f(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-50) + 1734536\/3925?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 53. Let v be -1 - (-1305)\/2 - w\/(-48). Calculate the highest common divisor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22098000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6265397 rounded to three dps?\nAnswer: -0.627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -28\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.072 (b) 2 (c) 1\/110 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.05, -0.3, 0.4, -0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1642.76 * 0.083\nAnswer: 136.34908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -20. Let m(u) = -28*u + 1 + 60*u + 2*u**2 + 6*u**3 + 2*u**3 - 30*u. What is m(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**3 - 19*w**2 - 39*w + 2. Let x be h(-5). Is x < 874\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 9*z**4\/4 - 2*z**3 - 6*z - 9. Let o(v) be the first derivative of v**4\/4 - v**3\/3 - v + 44. Determine -6*o(t) + p(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 26 - (94 + -83)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/9 of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(1\/9)\/a*a**(-4)*((a\/a**4*a)\/a)**(-2\/59) assuming a is positive.\nAnswer: a**(-2011\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**5\/7 + 4*n**4\/7 - 12*n**3\/7 - 4*n**2\/7 + 8*n\/7 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45018 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -12.081401?\nAnswer: -14.081401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9615864 divided by 5378.\nAnswer: -1788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -66100 rounded to the nearest one thousand?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2453657\/237 + 10353. Let a = s - -853\/948. Find the common denominator of -3\/20 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {b: 1, l: 1, m: 2, s: 1, p: 2, k: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43993 and 3239.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2148, -4226, -6322, -8436?\n\"Answer: -9*b**2 - 2051*b - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 70095, 70087, 70073, 70053, 70027, 69995, 69957?\n\"Answer: -3*c**2 + c + 70097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -10, -8, -4, 2, 10, 20?\n\"Answer: m**2 - 3*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + f = 4*f - 6, 2*y - 5*f = 16. Let b(a) = 42*a**2 + a. Let w be b(y). Let d = w - 220. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 2351623?\nAnswer: 23516230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-6)\/(-18) - 190\/(-6). What is the greatest common factor of a and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2333110 + 2133211?\nAnswer: -133233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2526 * 78.6.\nAnswer: -198543.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.05, 0.2, 7, 5 in increasing order.\nAnswer: -2, -0.05, 0.2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.11744, 2, 2\/9?\nAnswer: -0.11744","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 4. Let k be o(-2). Which is the nearest to 0.1? (a) 3\/4 (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135\/(-75)*(-29)\/((-21054)\/1100)\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.72 - 0.28. Let f = 96\/5 - 19. Which is the closest to -0.1? (a) 0.1 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616458 is divided by 108.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 32. Let f be (-3)\/(-6)*(2 - y). Let b(x) = -x**3 - 7*x**2 - 6*x + 4. Let i be b(f). Solve 2*r + i = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, n: 12, k: 1}. What is prob of sequence enn?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-56)\/(-252) - 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h + 10 = -31*h. Suppose -6*k + 10*k = -n + 62, 4*n = -h*k + 206. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*n + 17 = 0, -2107*n = 3*s - 2111*n - 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 26, -4, 8 in descending order.\nAnswer: 26, 8, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 622? (a) 0.5 (b) 3 (c) 26\/19 (d) 4 (e) -2\/15 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 3.09641216291?\nAnswer: 2.99641216291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-64)*-12)\/((-6)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 5\/3, 0.04, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2329 - -2400. Is n greater than or equal to 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((5 + 2*sqrt(192))**2 - (-2 + (sqrt(192)*-1)**2)) + (2 + sqrt(192)*-1 - -1*sqrt(192)*2))*-3.\nAnswer: -5445 - 1512*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37789.08 meters in millimeters?\nAnswer: 37789080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 21 = -209. What is the highest common factor of s and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**5\/20 + h**4\/6 + h**3\/2 + 5*h. Let w be x(3). Suppose s + 5913855 - 1913855 = w. Round s to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.878302 rounded to three dps?\nAnswer: 0.878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 0.32, 2?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*v = 24. Let l be 1\/((v\/6)\/(1 - 0)). Factor 0 + 2\/5*o**l - 1\/5*o**4 + 0*o - 1\/5*o**3.\nAnswer: -o**2*(o - 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92131\/36 + -536959\/180. Let q = a + 5550. Let c = 17031 - 204503\/12. Find the common denominator of q and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 1, k: 11, e: 1, h: 1}. What is prob of picking 1 k and 1 q?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m - 2. Let u(j) = 280*j - 63. Give -63*d(f) + 2*u(f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/3 - 4*z**2 - 10*z\/3 + 8 = 0.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/((-1680)\/15)*-16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 3 in descending order.\nAnswer: 6, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.9 - 21.374. Round t to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 6, 16, 42, 90?\n\"Answer: u**3 - u**2 - 4*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-3))\/t**3*(t**(-1\/2))**(-2\/13))**(-32))**(-7) assuming t is positive.\nAnswer: t**(3136\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 12 = -0*m, -21 = -f + 4*m. Suppose q = f*i - 9116, -2*q - 3 = -1. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 2*m**2 - 2*m. Suppose -12*h + 17*h = 15. Give j(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 107644*h + 5 - 110089*h - 1 to the form i*h + k and give i.\nAnswer: -2445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 3 (c) 1.3635 (d) 4 (e) -0.313\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, c: 5, i: 3}. What is prob of picking 2 c and 1 g?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) -2\/63 (c) -2\/13 (d) 537 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(12)\/sqrt(4) + sqrt(75)*2)**2 - ((sqrt(363)*-1 - sqrt(363))*-1*2)**2.\nAnswer: -5441 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 2 - 4 - 4 - 2 - 4. Calculate p(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 11:59 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k + 83. Let l be h(-13). Suppose 27 = 3*n - 2*f - l, 5*f + 35 = 3*n. Solve -p + 3*b + 23 = 4*p, 3*p = -2*b + n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5339*w**5 - 21243*w**3 + 292035866*w**2.\nAnswer: -320340*w**2 - 127458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1235560 rounded to the nearest ten thousand?\nAnswer: -1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -19. Let d be (2\/b - 2\/6)*-2. Let l(n) = 6*n**3 - 1. Let p be l(d). Does 5 = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - -78.62676.\nAnswer: 85.62676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50728\/(-233871) + (-4)\/(-22) + 130\/95?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 5:07 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 3:19 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-56))\/(1\/44). Suppose -4*z - 5 = z, p = 5*n - z. Suppose i + 3*k + 14 = 0, -n*k = -i - 3*i. Are i and -11\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 6 - 2 = 0. Let t be (15\/(-2))\/(h\/56). Suppose 2*c + 105 = 3*s, -2*s - 2*c + t = s. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185.7 - -178. Let t = -8 - j. Let n = -1 + 2. What is the closest to -1 in n, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4\/7 + 6360*a**3\/7 - 6086124*a**2\/7 + 233939880*a - 18941847246 = 0.\nAnswer: 183, 1407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.49.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141049\/12 + -11746. Let k = -6529\/10 - -652. What is the common denominator of t and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3712 + -3709. Let w = 1 + 1. Let x = w + -1.9. Sort 0, x, n.\nAnswer: 0, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(304) - (sqrt(19) + -1)*5) + 3*(1 + sqrt(304) + -1))**2.\nAnswer: 110*sqrt(19) + 2324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, -58 in decreasing order.\nAnswer: 1, 0.2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -14, -23, -32, -41?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + a = -6 + 21, -5*k - 25 = -a. Let b be (-13)\/20 - 2\/k. What is the closest to b in -2, -5, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 5*x = 29, -41 + 18 = -r - 5*x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -13*o**2 + 15*o + 519. Determine g(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18530 - -18522. Let d(f) = -f - 240 + 0*f + 230. Determine d(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92188.\nAnswer: 2, 19, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -14 + 0*y - 4*y + 3*y. Give d(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/7 - (-6 + (-2936)\/(-476)). What is the second biggest value in 0, p, 1.8, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85192 and 1472.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321150?\nAnswer: 2, 3, 5, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 6147\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:11 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -16.8?\nAnswer: -16.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*c = 2*c + 168, 3*p = -c + 159. Let t = 133 - p. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4. Let i(d) = 2*d**2 - 2. Let u(q) = -2*q**2 + 4*q. Let t(k) = -3*k**2 + 5*k. Let v(b) = 3*t(b) - 4*u(b). Determine f*i(j) - v(j).\nAnswer: 3*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 2*u + 14, 5*d - 5*u + 1744 = 1749 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 4*n + 21. Let p be a(-7). Suppose 0 = -p*z - 5*z + 3680. Suppose 192 + z = 4*r. Is 39 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by 256.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 17*k**2 - 37*k - 13. Let i(y) = -y**3 - 8*y**2 + 19*y + 6. Let x(l) = -4*a(l) - 7*i(l). What are the prime factors of x(-14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56970 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 7:38 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 9*y. Let k(l) = l + 1. Let r(s) = -7*k(s) + p(s). Let o(j) = -2*j**2 - 3*j + 13. Calculate -4*o(u) - 7*r(u).\nAnswer: u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -0.1, 18, -0.07, -1, 2\/3, -0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/208587*(-455723)\/18. Let n = 1\/81621 - j. Calculate the common denominator of 24\/5 and n.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -49 - 92. Suppose 19 = 3*h - p. What is the remainder when h is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141710369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -21, -60, -135, -258, -441, -696?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -199362 - 529825\nAnswer: -729187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 9383 = 3*b, -s - 29*b = -30*b - 1337. Calculate the lowest common multiple of s and 34.\nAnswer: 2686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 955 - 955 - 901*n**2 in the form q*n**2 + v*n + x and give q.\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 12 = n. Suppose 0 = -8*h + n*h + 530. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 23*o - 981. Calculate n(-23).\nAnswer: -1510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -51 * 1361505\nAnswer: -69436755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12012 is divided by 4001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 751 - 12*o + 742 + 287 - 1780.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1833, -3748, -5661, -7572?\nAnswer: -9481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.7, 4, 2\/3, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15823095, 31646242, 47469391, 63292542, 79115695?\n\"Answer: x**2 + 15823144*x - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/5)\/((-5)\/(-25)). Let h be (o\/(-2))\/(3\/(-15)). Suppose -h*v + 0*v + 20 = 5*j, -j + 3*v - 8 = 0. Sort -3, 3, j.\nAnswer: -3, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**5 + 43*p**4 - 223*p**3 - 427*p**2 + 424*p + 180 = 0. Calculate p.\nAnswer: -18, -2, -1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/38)\/f)\/f)\/(f*f*f**(-41)) assuming f is positive.\nAnswer: f**(1409\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 5, 2033, -2\/3 in ascending order.\nAnswer: -41, -2\/3, 5, 2033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*h*m*n**2 + h*n**2 - 382*h*n + 98823*m*n**2 + 11*m - 2*n**2 + 2*n + 35 wrt n.\nAnswer: -42*h*m + 2*h + 197646*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2477*-39605.\nAnswer: 98101585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/(-91)*(-7)\/4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 199284 and 0?\nAnswer: 199284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 9*t - 5*t + 4*a, -3*t - 21 = 2*a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 26*c - 199. What is x(14)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - (-11)\/2)*-300. Let v = 272 + u. Calculate the remainder when v is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.243516 and -0.16.\nAnswer: 0.35896256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2*z**3 + 4*z**3)*(-2*z**2 - 2*z + 2*z).\nAnswer: -4*z**5 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 3)*(-1)\/5. What is the closest to -3 in p, -1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 447337 = 3620. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13a - 7?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + 3*v**2 + 0*v**2 + (3*v + 0*v - 2*v)*(2*v - 1 + 1) + 0*v**2 + 0*v**2 + 3*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 2 = 6*r. Suppose -3*o = -4*w + 57, -5*w + r*w + 2*o = -42. What is the highest common divisor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m - 2. Let p(w) = -17*w - 4. Suppose 0 = -3*v - x + 42 + 36, -v - 3*x + 34 = 0. Let n = v + -38. Give n*i(j) + 6*p(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2697861 (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*u - 3439, -6991 + 2689 = -5*u - 3*x. Let l = u + -31859\/37. Let f = -100\/481 - l. Sort 0.6, 0.4, f.\nAnswer: f, 0.4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 10*d**2 + d. Let h be q(-1). Let u(l) = -l**2 + 9*l + 8. Is u(h) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - ((2 - 7) + 1 + 2). Suppose -4*j + 31 = -3*p, -u*j + 8*j = 20. Sort 0.07, -3\/5, p in descending order.\nAnswer: 0.07, -3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 173*h + 3. Let k be y(0). Which is smaller: 17\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21593432 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 7. Let p(y) = -11*y**2 + 8 + 2*y**3 - y**3 + 11*y**2. Determine -5*p(l) + 6*w(l).\nAnswer: l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, -1 in increasing order.\nAnswer: -8, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m**2 - 2*m**2 - 5*m**2)*(75*m - 259*m - 482*m + (-1 + 0 - 1)*(0*m + 0*m - m) + 0 - 3*m + 0).\nAnswer: -667*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from iniih.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 3*m = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 3202333.\nAnswer: -2\/3202333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117553?\nAnswer: 19, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (546 - 539) + (-45 - 1)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = i + 56, 0*i - 4*i - 4*u = 224. Suppose -181 = 8*d + 91. Let c = d - i. Solve 0 = -4*q - 2*h - 3*h - c, -5*q - h = 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - (3 + -3 + -2). Suppose 3 = 3*x - u. Solve -3*h = x - 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4}. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633926?\nAnswer: 2, 23, 13781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 31. Solve 0 = -b - u + 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 578 = -y. Let v(u) = 6*u - 102. Let c be v(12). Let l = y + c. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -30. Is 10 a factor of 18\/(-12)*n\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 710.8 - 710.7. Which is the nearest to -0.02? (a) m (b) 5\/2 (c) 0.251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 84, 146, 228, 336, 476, 654?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*v - 701, 3*v - 373 = -2*s - 0*v. Let q = 334 - s. Suppose l - q + 28 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-150)\/(-90)*2\/(-45)*3. What is the closest to 0 in l, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(1840\/24)*(-4)\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 147\/35 + 1 - (-2)\/(-10). Suppose 0 = -2*c + 5*l + 33, 0 = -c - k*l + 3*l + 21. Suppose i - c = -4*z, -3*i = -4*z + z - 42. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130177843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, o: 4, w: 6, a: 2}. Give prob of sequence oaa.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 3. Suppose 2*q - 77 = -u. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**5\/480 - d**4\/64 + 59*d**2. Factor l(h).\nAnswer: -h*(h + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 3. Let y be (-4)\/10 - (-27)\/5. Calculate the lowest common multiple of 79 and g(y).\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 128 or -236586?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 173823, -1, -4 in decreasing order.\nAnswer: 173823, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12636 divided by -532.\nAnswer: 3159\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537 - ((-225)\/10)\/(-9)*2 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61613 is divided by 303?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 52 = -2*x. Let p(n) = 7*n**2 - 2*n + 2. Is p(x) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38434932?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -456163*y**2 - 481645?\nAnswer: -912326*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7033 - 7032. Let q = -5 + 0. Let m = q - 0. Which is the nearest to i? (a) m (b) -1\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1012 (base 3) to base 14\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -7 - (2 + -13 + 0)) + (61 - 80).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (16 + -7)) + 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 38\/419413?\nAnswer: 38\/419413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 32. Suppose 11*h = u*h + 44. Let g(l) = 3*l**2 + 2*l. Let x(f) = 16*f**2 + 11*f. Let j(w) = h*g(w) - 2*x(w). Let v(s) = -40*s. Give j(v(d)).\nAnswer: 1600*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110660465 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5959896 is divided by 1986589.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3077 = n - 2*t, -3*t = -4*n - 11091 - 1217. Let a = n + 18539\/6. Let q = 88457\/6 + -14744. Calculate the common denominator of a and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 times 638\nAnswer: 91872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 4:00 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/7 + 1062960*v**2\/7 + 20136960000*v - 10512320000000 = 0 for v.\nAnswer: -266000, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -22.8 (b) -40 (c) -2 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-12) - 27\/(-4). Suppose -b - 4 = a. Let i = 17 - b. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 22. Suppose -f*t - t = -t. Suppose -4*u = 3*p - 257, t = 5*p + 4*u - 234 - 197. What are the prime factors of p?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*y + 7*y + 8505 = 0, 2*m - 4*y = 5676. List the prime factors of m.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*d**2 + 74*d**2 - 50*d + 50*d.\nAnswer: -99*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t + 37*t = 5*q - 13, -3*q - 32 = q + 22*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008144 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 579189987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + (7 + -8 - -8) - -6) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 251*d - 58140 + 40821 for d.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20727, 43041, 65353, 87663, 109971, 132277, 154581?\nAnswer: 176883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*n**3 + 1976*n**2 + 70425*n + 556875.\nAnswer: (n + 11)*(4*n + 225)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-107)\/(-1070))\/((-9)\/30))\/(58\/2*-1).\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88789*t + 44228*t + 12*t**2 + 44561*t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2682669706 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: Simplify 1*-6*-4*(sqrt(11) + -3).\nAnswer: -72 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 6317158637\nAnswer: -6317158637.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = 3*r - 7*y - 12, -3*r + y = -4. What is the lowest common multiple of (r - 17\/((-17)\/110)) + -2 and 16?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -14, -5, -546, 5, 2 in increasing order.\nAnswer: -546, -14, -5, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 15*i + 13. Calculate z(-10).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61484 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 558 minutes before 4:43 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -3\/5 (c) 0.2 (d) -679 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.38406662 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/147955560 and 5\/217.\nAnswer: 1035688920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - i - 394238 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/330640982 or -1?\nAnswer: 5\/330640982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103 + 103. What is the third biggest value in k, -0.9, 3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:21 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.28, 0.11, -3, 16, 2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -5. Solve -4*i = -4*y + 5*y + 11, y - h = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p + 4. Let t(y) be the third derivative of 17*y**2 - 5\/8*y**4 + 0*y + 0 + 1\/2*y**3. Calculate t(p).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -913304 and -913300 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -1 - 4) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3))**11*q**(1\/6)*(q*q**(-1\/6)*q*q*q)\/q assuming q is positive.\nAnswer: q**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(sqrt(1872) + -1)**2.\nAnswer: -144*sqrt(13) + 11233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49724 and 13454?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5582 + 16747\/3. Let a(o) be the second derivative of 0*o**2 + 0 + v*o**3 - 22*o - 1\/12*o**4. Find s such that a(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*t + 5*t - 5*m, -5*t + 2*m + 27 = 0. Suppose 0 = -2*l - 2 + 10, t*k - l = 61. Calculate the greatest common factor of 39 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (4 - (16 - 3)) - (30 - 24).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5845591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -29174?\nAnswer: 29177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 13*w**2 - 3*w - 17. Is c(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 384 + 251. Round o to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*a*c*j**2 + a*c*j - 9*a*j**2*k + 5*a*k - 4*c*j**2*k wrt c.\nAnswer: 4*a*j**2 + a*j - 4*j**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -27. Let z(g) = -12*g + y - 1. Let w(x) = 2*x**2. Give w(z(t)).\nAnswer: 288*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -3, -5\/76, 5, 4, 324?\nAnswer: -5\/76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 0*y**4 + y**2 - 5*y + 1\/5*y**5 + 1\/3*y**3 + 52. Find the second derivative of s(x) wrt x.\nAnswer: 12*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1516 - 16031?\nAnswer: -20550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32170 - -160846\/5. Let n = 3 - 2. Let b = n - 1.1. What is the third smallest value in 3\/4, b, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3375 = 2*j - 12375. Suppose -2*k - 3*k = j. Round k to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 93*m**2 - 1150*m - 3554. Calculate z(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -18*g + 0 + 8 + 19*g + 48*g. Let m be q(4). Suppose 20*r - 3*r - m = 0. Solve -4 = -2*u + 4*s - r, 0 = -4*u + 4*s - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54.1+-0.1\nAnswer: -54.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**5\/60 + j**4\/6 - j**3\/3 - 5*j**2. Let p be v(-5). Suppose 59 - 143 = -p*m. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -357, -539, -719?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 393994735?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -813*p + 5. Is l(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43, -123, -337, -751, -1431, -2443?\n\"Answer: -11*v**3 - v**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 t, and 1 s when three letters picked without replacement from tszttztr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 152 - 303\/2. Let d = -2.2 - -2. What is the third smallest value in d, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1920, -5162, -10580, -18186, -27992, -40010, -54252, -70730?\n\"Answer: -2*d**3 - 1076*d**2 - 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32609880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2666 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 + 6*x**2 + 6*x + 3. Let m(d) = 3*d**3 - 11*d**2 - 10*d - 6. Calculate -5*c(j) - 3*m(j).\nAnswer: j**3 + 3*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 f, and 1 o when four letters picked without replacement from nnlnnfnlnnnonn.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3024 (base 5) to base 15.\nAnswer: 1ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - t + 2 = 0, -2*b + 49 - 33 = 3*t. Let a(s) = 8*s - 1. Give a(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 9*v + 10. Let y be t(-8). Suppose -l - 4 + y = 0. Calculate the least common multiple of 7 + l + (0 - 0) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19878, -4, 6\/11?\nAnswer: 19878","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*788\nAnswer: -157.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -b7 (base 13) to base 2\nAnswer: -10010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49639114 is divided by 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/7 + 904*d\/7 + 191337\/7 = 0 for d.\nAnswer: -177, 1081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2332?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 8:10 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**(1\/2)*v))**(2\/55))**(-32\/5)\/((v**(2\/7))**(-34)\/(v\/(v*v**(-2\/7))*v)**2) assuming v is positive.\nAnswer: v**(23426\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = -x - d, -5*x + d + 273 + 904 = 0. Suppose -3*m + x = -m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 407270 and 84?\nAnswer: 17105340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) 4 (c) -1\/641\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 19602558*h - 32021690011947.\nAnswer: -3*(h - 3267093)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/30)\/((-414)\/30)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from luvllalllllllallavlq?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/(-6))\/((-1)\/4). Suppose -v + h = 4. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -111.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 + 2*i + 4. Let z be v(2). Let k be z + 2 - (-4 + 60)\/8. Which is the closest to -3? (a) -0.5 (b) 26 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + sqrt(40)\/sqrt(5) + -2)**2.\nAnswer: 16 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5787 - 5779. Let l(w) = 8*w - 5. Let u be l(5). Let s = 123 - u. What is the highest common divisor of b and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 h when three letters picked without replacement from {r: 1, h: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 1, e: 2, n: 1, s: 2, p: 1}. Give prob of picking 1 z and 1 s.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l - 3. Let o(h) = -h - 2. Let z(y) = 3*o(y) - 2*x(y). Let w(r) be the first derivative of -2*r + 63. Let d(q) = -w(q) - 2*z(q). Determine d(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwgwlgglwwglllw. What is prob of picking 4 g?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 340 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5*r - 41 = 0, 0 = -3*q + 6*r - 137 + 77 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/25*(-30)\/(-16)*(-18)\/10?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**2 - 1 - 5*f**2 + 4*f**2 + 299*f**3 - 3*f**2. Let t = -8 + 9. Is b(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76400 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29889*h - 2 = 29890*h + 2*q, 40*h - 3*q + 36 = -44 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64306 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3814 + 287?\nAnswer: 4101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 161.\nAnswer: 80.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 3*q**2 - 11*q + 9. Let p be h(5). Factor -5*u**4 + p*u**4 + 5*u**4.\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-21) + (-1590)\/(-21). Let f be 1*(h\/(-28) - -3). Which is the closest to -1? (a) -4 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 (base 15) in base 4?\nAnswer: 103133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqoaa. Give prob of sequence aoxq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - -53. Let w be 2 + d\/(-15) + 4. What is the closest to 1 in w, 0, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**4\/2 - 2*d**3 + 6*d**2 + 2*d - 16. Let m be c(2). Solve 2*o - 5*u = -m - 3, 5*o = 2*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*u + 1 + 9, 4*k = -u + 13. Solve -5*o + 4*o + k = -r, 5*o = -4*r - 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.8 + -6. Let j = 1 + m. Suppose q - 1 + 2 = 0. Put j, 0, q in ascending order.\nAnswer: q, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281942161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -575 - -699. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11 + 1 = 3*m, -4*o + 14 = m. Let q(p) = 3*p**2 + 2*p - 3. What is the least common multiple of q(-3) and (-2)\/8 - (-65)\/o?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -609, -1194, -1789, -2400, -3033?\n\"Answer: -f**3 + f**2 - 581*f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 151201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 18*y**2 + 4*y - 69. Let s be r(18). Suppose s*a - 6 = 0, -f - 5*a = 3*f - 62. Calculate the remainder when 51 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c3 (base 16) to base 9.\nAnswer: -551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 54971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00031162 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15444012 divided by 3.\nAnswer: -5148004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -30*p**3 + 81*p**2 + 9*p - 81. Let v = -9 + 7. Let k(r) = -3*r**3 + 8*r**2 + r - 8. Let g(j) = v*d(j) + 21*k(j). Factor g(l).\nAnswer: -3*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -687?\nAnswer: 68b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -1 + -5 + sqrt(112) - -5*sqrt(112)*-2) + -4*(2 + -5 + -2*sqrt(112)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2 + 2 = -2*g, -64*g + 69*g + 106 = 3*h + 95 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i = 23*i - 69*i + 574 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7633 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 12*j = 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {l: 4, p: 4, b: 7, v: 1, x: 2}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/20*(297\/(-180))\/(27\/24)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1325060 and 6840?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*d**3 - 185*d**3 - 892*d + 892*d.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221\/2 + -110. Let o(s) be the first derivative of -l*s**2 - 4 + 2*s. Determine o(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, s: 4, l: 1}. Give prob of sequence xlss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3416066 (base 10) to base 8\nAnswer: -15020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1436, 1472, 1512, 1556, 1604?\n\"Answer: 2*d**2 + 30*d + 1404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*n - 1694, -2*w - 2*n = -95 - 591. What are the prime factors of w?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2120)\/(-24115))\/(30\/(-65)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105064932?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -233 + 2011?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - 2*i**3 + 0*i**2 + (0*i**2 - 4*i**2 + 21*i**2)*(-2*i + 2 - 2).\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from vjjjyvqjy?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 3:20 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 651, 1300, 1949, 2598, 3247?\nAnswer: 3896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.21\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 56137428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -1242?\nAnswer: -1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235024013 is divided by 2818?\nAnswer: 2813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 12298, 190 in ascending order.\nAnswer: 102, 190, 12298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 2258910.\nAnswer: 7\/2258910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -27473 (base 8) in base 6?\nAnswer: -131551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2558 = -613*g - 11541 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 910, 3046, 7200, 14044, 24250, 38490?\nAnswer: 57436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2212 + -212332021?\nAnswer: -212323203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 1.4 (b) -1\/38 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 2 = 10*v. Suppose 9*u - 55 = -v*u. Suppose 376 = 2*f + 2*s - u*s, -5*s - 384 = -2*f. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w - w**4 - 4*w + (0*w + 0*w + 2*w - 1)*(-3 + 1 + 5)*(4 - 2 - 3)*(-15*w**2 - 25*w**2 - w**2)*(-2*w + 16 - 16).\nAnswer: -493*w**4 + 246*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 276 + -290. Let c be (r\/(-6) - 2)*9. Let w(j) = -49*j**3 - 14*j - 14. Let n(q) = 10*q**3 + 3*q + 3. Give c*w(i) + 14*n(i).\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 478202 and 1086?\nAnswer: 1434606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -224?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2411129ml in litres?\nAnswer: 0.0002411129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123 + -2102?\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 7026437.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1992 is divided by 95.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70931 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -15*a - 344. Let h be q(-23). Let b = 4164\/23023 + 2\/2093. What is the nearest to 1\/4 in b, -18, -5, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 - 93. Let r(v) = -43*v + 6. Let t(d) = 21*d - 3. Let j(g) = q*r(g) + 13*t(g). Calculate j(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-18)\/a)**(3\/28)\/(a*a*a**(-13)\/a*a\/(a**(-4\/7)*a)) assuming a is positive.\nAnswer: a**(263\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 541961\/54 - 10038. Calculate the common denominator of 47\/18 and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9869051.991069 and -0.5.\nAnswer: -9869052.491069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**4 + 855*u**3 - 34320*u**2 - 193600*u = 0. Calculate u.\nAnswer: -5, 0, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9524 divided by 18.\nAnswer: 4762\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -17. Let g = -52\/11 - -862\/187. What is the biggest value in -1, g, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 36 = 58. Suppose -56*t = -9*t + i. Let m = -4 - -3.5. What is the third smallest value in 0.011, t, m?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4991 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r**2 + 9*r + 111. Let g(k) = -3*k**2 + 6*k + 53. Let d(v) = -9*g(v) + 4*x(v). What is d(-17)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270 divided by -3.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 569593753 less than 0.4?\nAnswer: -569593752.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 16 - 8. Solve -16 + v = 6*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3149 + -44081\/14. Find the common denominator of 39\/112 and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -f - 4*r, 0 - 5 = 5*f + 5*r. What is the second derivative of -x + 0*x**3 + 2*x**f + 5*x wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 264 = -60. Let s = c - -38. Let q(t) = t**2 - 11*t - 24. Let a be q(13). Solve -w + a*r + 11 = -0*r, s*w + 21 = -5*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**3 - g**3 + 2*g**3)*(2*g + 1 - 1) + 6*g**4 + g**4 - 16*g**4 + 3*g**4 - 5*g**4 - g**4 in the form l*g + i*g**2 + o*g**4 + t*g**3 + y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 17*h**2 - 17*h + 15. Let l be i(16). Let k be ((-20)\/(-12) + l)*6. Suppose 3*r - k*b = -4, 3*r - 5 = -2*r - 5*b. Solve t + r*t = -4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 5*q**2 - 6*q. Let d = 9 + -15. Let c be b(d). Find the third derivative of c + 4*u**2 + 0*u**4 + 0 - u**4 wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34*34.699\nAnswer: -1179.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4520\/2825 - (-173)\/(-105)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -507*b**3 - 3*b**2 + 3*b + 5. Let s be c(8). Let t = 133747 + s. Round t to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-35)\/63*3. Solve -2*u + l = 4*r + r, -2*r - 2*u + 2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-171*h + 1659*h + 1518*h)*(0 - 1 - 1) + (-4*h - 3*h + 5*h)*((-3 + 1 + 0)*(3 + 0 - 1) + 4 + 3 - 4) to the form r*h + g and give r.\nAnswer: -6010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*t - 4242390 = 57*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 247564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 1 = k, 3711*k - 5 = 2*h + 3706*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30\/16337 + 36637\/588132. Find the common denominator of u and 41\/444.\nAnswer: 22644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3310*a - 3316*a - 42 = 0, -2*x + 5*a = -17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23 and -652503879.326?\nAnswer: 652503902.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4370 + 4369. What is the nearest to i in 85, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i. Let b(k) = k. Let w(d) = 14*b(d) - 4*m(d). Let t(q) = -24*q. Calculate t(w(p)).\nAnswer: -48*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(106 + 13*n**3 - 106).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -691*p**4\/24 - 68*p**3 + 346*p**2. What is the derivative of i(d) wrt d?\nAnswer: -691","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1970 = -5*r, -5*r = -4*w - 2106 + 136. Suppose -2*y - r = -5*a, a + a = 3*y + 162. Is 8 a factor of 1*2*a\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 + 84*r**3 - 42*r**3 + 4*r**3 + 117*r**3.\nAnswer: 168*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 715 - 321. Let h = -396 + u. What is the second smallest value in h, 1, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 294 divided by -6\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.047 and 0.07827.\nAnswer: 0.00367869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1000011010110111?\nAnswer: -1000011010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 145*h**2 - 79*h + 150. What is c(2)?\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-3) - (-4)\/12. Suppose -2*p - 8 = -i*y, -10 = -7*y + 3*y - 2*p. Suppose 0 = -z - y, 2*x - 4*z = -5*z + 240. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s**4 + 4 + 4*s + 9*s**4 - 3*s**6 + s**2. Let j(a) = -a**6 + a**2 + a + 1. Let k(f) = -4*j(f) + v(f). What is the third derivative of k(w) wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r - 2*r**3 - 37188 - 56688 - 28*r + 50*r.\nAnswer: -2*r**3 - 3*r - 93876","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w. Let s(a) be the second derivative of -a**3\/3 + 12*a. Let z(n) = 4*i(n) + 9*s(n). Let x(r) = -5*r**2. Calculate z(x(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*g = -5*d + 4687, 0 = -d + 4*g + 1549. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 288432.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x - 2*x + 3*x as g + z*x and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21150 and 2040.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-25))\/(1\/5). Suppose -n - 5*t = 3, -b*n + 10 = 2*n - 2*t. Solve n*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103.6 - 98.6. What is the nearest to -2 in 0.5, 0.4, j, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 + 12*u**2 - 3*u - 14. Calculate w(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7200 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1032537 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.1 (b) -14 (c) 0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/5)\/(f\/(f\/f**(-4)))*(f**(-1\/4))**(4\/3))\/((f**0*f*f*f\/((f\/f**(-1))\/f))\/((f**5\/f)\/(f\/f**(-6)*f))) assuming f is positive.\nAnswer: f**(-38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26405 - 14258. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320 and 23.\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 2\/3 (c) -1911\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -417*b**3 + 50*b**5 + 417*b**3 + (0*b**5 - b**5 + 2*b**5)*(-25 + 80 - 13) + b**5 - 3*b**5 + 3*b**5 + (3 - 2 - 2)*(-2*b**5 - b**5 + 2*b**5).\nAnswer: 94*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2449, 2448, 2447, 2446, 2445?\nAnswer: 2444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -668 times 0.5\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 9:39 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2 - (3 - 4 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 1. Let p be i(1). Let z be p\/6 + (-3)\/(-2). Factor -l**2 + z*l**2 + 3*l - 5*l.\nAnswer: l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmq. Give prob of sequence qm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {e: 2, q: 3, n: 4, r: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v + 44*v + 6 + 138*v.\nAnswer: 203*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 171 - -132815?\nAnswer: 132986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -17\/1228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*k**4 - 5*k**4 - 40*k**4)*(0 + 4 - 2) to p*k**4 + x*k**2 + y*k**3 + j*k + l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*z + 138580 + 5365038 + 873182 = 0. Does 167 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 2:31 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.23934 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/20)\/(3\/10). Let m be -12*s*2\/(-12). Is ((-14)\/m)\/(1\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from weewwweeww. Give prob of picking 1 e and 2 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2220, -104, -19 in increasing order.\nAnswer: -2220, -104, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1063 or -1022?\nAnswer: -1022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**3 + 30*c**3 - 6*c**3 - 11*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 18 = -11*o. Let c be o - (3 + 12\/(-4)). What is the tens digit of (4 + (-115)\/25)\/(c\/50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -1, 7, 24 in decreasing order.\nAnswer: 24, 7, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -56*z**2 + 496*z - 3. Give d(9).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -27*t - 19. What is the units digit of s(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**3 + 8061*w**2 - 24222*w - 32280 = 0 for w.\nAnswer: -2690, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/12 - 39\/(-12). Suppose c*u + 4*w - 34 = -2*u, 2*w - 2 = -u. Solve u*b = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3705061 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 21*v**2 - 667*v - 436. Calculate m(34).\nAnswer: 1162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**5 + 12288*b**3 + 2*b**2 - 368861 wrt b.\nAnswer: 300*b**2 + 73728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-seven halves of a week?\nAnswer: 3108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122712.0253 + -3.\nAnswer: -122715.0253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -31 - (1 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/144 + (-26)\/(-12). Let b(h) = 10 - v - 5*h + 6. Let f(j) = -3*j + 9. Give 5*b(d) - 8*f(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 96552?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1953761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-318)\/53*((-1)\/1)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -319621, -639127, -958633, -1278139, -1597645?\n\"Answer: -319506*o - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 - 2*x + 7. Let l(m) = -4*m**2 + 3*m - 7. Determine -2*l(b) - 3*o(b).\nAnswer: -b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12630 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 153*a - 279. Let k be i(12). Which is greater: 1556 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4066, 4086, 4122, 4180, 4266, 4386, 4546?\nAnswer: 4752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -411 smaller than -425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 228539 + -228523. Let f be -2 + 2\/2 + 1. Suppose f = u - 5 - 11. What is the greatest common factor of v and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)\/(r*(((r\/r**(5\/6))\/r)\/r)\/r))**(2\/9) assuming r is positive.\nAnswer: r**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3843?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 40\/60*15\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -415 or -14133\/34?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 66418 = 4*s - 9*s, 3*s - 39852 = -3*u. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -9. Which is the smallest value? (a) q (b) 1\/2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 31018.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/24))**(36\/11)*(((q\/(q\/q**(-1\/9)*q))\/q)\/q)\/(((q\/(q\/(q\/q**(10\/13))))\/q)\/q) assuming q is positive.\nAnswer: q**(4619\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 2888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -9. Suppose 0 = j - 0*j - h. Let k = -4 - -6. Solve -5*o - k = j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2825 and 6125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 49282.84 meters?\nAnswer: 49282840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 2 + -8 + 2 + 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4566 and 144.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3*n = -0*n - 12, -2 = -2*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((-13)\/((-273)\/12)). Suppose 23 = 5*m + 2*c - 5*c, m - k = 3*c. Solve 2*n - 4*n - m = 4*b, b = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -3.2351 (c) 2 (d) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.34 + 0.34. Let v = 462 + -46660\/101. Let g = -93\/404 - v. Which is the nearest to -1? (a) g (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9290 (base 10) in base 13?\nAnswer: -42c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-1)*g)\/g*g)\/g**9)\/(g**(1\/2))**(-22\/5))\/(g**13*g**(-2\/11)*g)**(-2\/65) assuming g is positive.\nAnswer: g**(-4558\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4888\/10 - (1 + (-42)\/35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17796313?\nAnswer: 757, 23509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 3*x + 3*x)*(-x**3 + 4*x**3 - x**3)*(6*x + 16*x - 2*x).\nAnswer: 80*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6b5bcba - -2?\nAnswer: -6b5bcb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**4\/4 + 7*s**3\/3 + 17*s**2\/2 + 2*s + 26. Let m be c(9). Let v = m + 12. Solve 4*p - 41 = v*q, -2*q - q + 5*p = 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o - 3. Suppose 4 = -n + 1. Let c be (-4)\/n*(3 - -3). What is the units digit of v(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a - 2. Calculate the common denominator of (a\/55)\/((-7)\/(-70)) and 93\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z = -15*z + 12 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**3 + 18643. Let q(f) = 4*f**2 - 3. Let i(r) = -9*r**2 + 7. Let d(u) = 6*i(u) + 14*q(u). Give p(d(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 31*v**3 + 45*v**3 - 2*v + 2*v.\nAnswer: 14*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 318 - 263.99. Let l = 0.01 - w. Let r = l - -54.0021. What is r rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 1, d: 1, y: 2}. What is prob of picking 1 d, 1 c, and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 81.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -428041*y. Let o(j) = 77*j**2. Determine g(o(p)).\nAnswer: -32959157*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - -214. Let j = 258.000000119 - z. Round j to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3596 is divided by 144.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 6, j: 5, d: 2}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 46*s - 43*s. Let t = 8289\/3784 - 3\/344. Factor t + 30\/11*l**s - 48\/11*l - 6\/11*l**3.\nAnswer: -6*(l - 2)**2*(l - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/5 - 3815*r**2 + 133446*r\/5 + 114408 = 0. What is r?\nAnswer: -3, 10, 19068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 576 - 577. Let f = 0.4 + -5.4. What is the smallest value in f, 0.5, c, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -7. Let g = 0 - 0. Sort -5, g, j in decreasing order.\nAnswer: g, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 13*h**2 + 33*h - 5. Give r(-15).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5 + 4*sqrt(1539) + sqrt(1539))**2)*-3.\nAnswer: -115515 - 1350*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64751 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 second smallest value in -0.5, 94, -4, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**3 + 252*x**2 + 492*x + 244 = 0.\nAnswer: -61, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 255 = 2*x + 3*x, 0 = -4*x + b + 211. Calculate the remainder when 88 is divided by x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, -72, -177, -352, -615, -984?\n\"Answer: -3*m**3 - 8*m**2 - 8*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004041 to six dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - (-6760)\/(-140))*(33\/36 - 1).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 724\/6 - (-35)\/(-21)?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -1a9c?\nAnswer: 1a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1274, 1097, 904, 689, 446, 169, -148?\n\"Answer: -f**3 - 2*f**2 - 164*f + 1441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -16 - (3 + -11)) + (-10 - -20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.506414 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3)*(y**(12\/5)*y)\/y*y*(y*y**(-14))\/(y\/y**(-8\/5)) assuming y is positive.\nAnswer: y**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 - -24. Let c = 321 - 319. Let q = c - i. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -20153130?\nAnswer: 20153134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s + 0*s + s. Let l(o) = 258*o**2 + 96*o + 48. Let p(y) = 27*y**2 + 10*y + 5. Let c(v) = -5*l(v) + 48*p(v). Give k(c(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 4 + 1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 8) to base 10.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 439 = -467 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -781*s**7\/210 + s**5\/15 - 26*s**4\/3 - 1063*s**2 + 2. What is the third derivative of f(y) wrt y?\nAnswer: -18744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1124148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 43347048117 and 13.\nAnswer: 43347048130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*d + 1 = 0, -2*d = -t - 7*d - 17. Let s be 0 + 1\/t*8. Sort 3, 4, s in decreasing order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -3*y + 10, 4*y + 9*d - 6*d = 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**3 - 1322*x**2 - 4*x - 25535 wrt x.\nAnswer: 6*x**2 - 2644*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.36151.\nAnswer: -0.72302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -225*b*f**2 - 2*b*f*w - 2*b*f + 88*b - 377362*f**2*w + f**2 + w**3 - 1 wrt w.\nAnswer: -2*b*f - 377362*f**2 + 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*v - 510 - 1510 = 142 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r - 184. Give g(30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/6))**(6\/17) assuming k is positive.\nAnswer: k**(1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 14. Let x be q(-8). Let z = x + 26. Find the second derivative of -4*i**4 - 12*i - 2*i**4 + 0*i - z*i wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 1587*f**5\/8 - 225844107*f**4\/8 + 1004318002566*f**3 + 6375774915597*f**2\/2 + 531632874876*f + 22784293512 = 0?\nAnswer: -3, -2\/23, 71156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 2. Let s be 6 - f - (-15)\/3. Solve -4*j - t + s*t + 14 = 0, j - 1 = 3*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/54*15\/50?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14 - 11.86. Let q = -10.2 + -2.3. Let a = p - q. Put 5, a, -0.04 in decreasing order.\nAnswer: 5, a, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t - 13. Let p be ((-6)\/(-1))\/(1\/(-3)). Let u(y) = -20 - 48 + 35 + 36 - y. What is p*u(v) - 4*g(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 2309936?\nAnswer: 2309936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -61, 1 in decreasing order.\nAnswer: 1, -9, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 5*h - h. Let m = h - -35. Suppose w = -c + 33, -m*c + 0*w = -4*w - 92. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:33 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.021 (b) 0.5 (c) 2\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(154)\/(-1*sqrt(7))*5)\/((sqrt(231)\/(sqrt(7)*-1))\/sqrt(3)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(288))**2.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 16*i - 15*i - 32, 0 = -5*i - 3*p + 225. Calculate the remainder when 10289 is divided by i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-1) + (-2 - 3). Let v(y) = y**3 + 7*y**2 - 9*y - 3. Let s be v(j). Suppose -4*p + t + 20 = 0, s = p - 3*t - 11. Solve 0 = 7*c - p*c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*o**3 + 809*o**3 + 395*o**2 + 100*o**3 + 419*o**3 - 395*o**2.\nAnswer: 1472*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -103, -415, -971, -1783, -2863?\n\"Answer: -2*x**3 - 110*x**2 + 32*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+1573\nAnswer: 1572.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 5:58 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7130066 + -24?\nAnswer: 7130042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 - 785*m**3 - 4965*m**2 + 12265*m - 6520.\nAnswer: 5*(m - 163)*(m - 1)**2*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k + 18 = 5*l, 0 = 4*l + 4*k. Let s be 34\/14 - 6\/14. Solve l*f + 0*f - s*g = 10, 2*g + 8 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:58 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76328 + -25.\nAnswer: 76303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*h + 212*h = -32. Suppose -4*y + 8 = -r, 3*r - h = -0*r + 4*y. Factor -14\/5*z**3 - r*z**2 - 58\/5*z - 12\/5.\nAnswer: -2*(z + 1)*(z + 3)*(7*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 0.1 (c) 6 (d) -372\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 55*i. Let d(q) be the third derivative of 0*q + 0*q**4 + 0*q**3 + 0 - 1\/60*q**5 - 27*q**2. What is d(k(v))?\nAnswer: -3025*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = 11*s - 526. Let i = 77 - s. Let y = -6 - -5.7. Which is the closest to -0.2? (a) i (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86616 by -2.\nAnswer: -43308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g - 45*g - 17*g + 8 - 12*g. Let c be u(-2). Suppose 0*n = 2*i + 3*n - c, 5*n = -i + 75. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/(q**(-1)*q)))**(-35)\/(q**(-1\/3)\/q**1) assuming q is positive.\nAnswer: q**(109\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t + 30. Let n(l) = -3*l - 16. Let h be n(t). Suppose -14 - h = -g. Which is smaller: 17 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -0*h + 2*h - 2*c, 3*c = 6. Let y be 4\/(32\/(-36))*h. Calculate the highest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {q: 7, d: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479313767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -451 - -453. Solve x*k + 5 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 4:34 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*k**2 - 923*k + 462.\nAnswer: -(k + 21)*(45*k - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1700\/11 greater than or equal to -156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.89 times -163?\nAnswer: 1612.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/57980334 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j + 18*j - 1 - 4*j - 6*j. Let s be w(2). What is the first derivative of -3*i**3 + 5*i**4 - 1 - 4 + 3*i**s wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 835800 divided by 69650\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34756 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2. Let z(n) be the third derivative of 2*n**5\/5 + 2*n**2 + 29*n. What is z(c(b))?\nAnswer: 216*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -17*y + 169. Let p(u) = u**2 - 7*u. Give p(j(k)).\nAnswer: 289*k**2 - 5627*k + 27378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 6\/(-5)) + -2. Suppose -3*l + 0 = -6. Factor -4\/5 - 2\/5*y**l + j*y.\nAnswer: -2*(y - 2)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 + 617*x**2 + 2882867*x\/5 + 729718847\/5.\nAnswer: (x + 407)*(x + 1339)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -511 times -9.46?\nAnswer: 4834.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/13)\/w)\/(((w**(-1\/25)*w)\/w)\/w)*(w*w\/(w\/(w**6*w)))\/(w**(-3)\/w) assuming w is positive.\nAnswer: w**(4013\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744.6 plus -0.22?\nAnswer: 1744.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 90174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is aa + -1a31?\nAnswer: -1943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 24. Let n = q + -12.7. Let m be 2 + 3\/(-8) + 145\/(-40). Which is the fourth smallest value? (a) -3\/7 (b) m (c) n (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wyhgywygzhyz. What is prob of picking 1 y, 2 h, and 1 g?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -53 + 56, y - 16096 = -5*z. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 5:09 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.43 + 0.57. Sort 0.4, n, 1\/6 in increasing order.\nAnswer: 1\/6, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moaa when four letters picked without replacement from omamooaom?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -117.76 + 2836\nAnswer: 2718.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.04, -4, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 102\/661?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*k**4 - k**2 - 13*k + 0 + 2*k**2 - 2 + 3 + 20*k as u + g*k**4 + a*k**3 + q*k**2 + l*k and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -600, -910, -1222?\nAnswer: -1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.973 - 0.027. Let c(d) = -d**2 - 7 - 2*d - d - 3*d. Let u be c(-5). Sort 0, a, u in descending order.\nAnswer: 0, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 27*v**2 - 2326*v + 17. What is q(85)?\nAnswer: -2618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 30. Let p = x + 23. Put 0, p, -5 in descending order.\nAnswer: p, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**5\/20 - 3*d**4\/4 + 11*d**3\/6 - 11*d**2\/2 + d. Calculate the remainder when 23 is divided by p(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 5. Let x be b(0). Let d(r) = r**3 - 5*r**2 + 7*r - 5. Is d(x) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1. Let u(q) = q**2 + 6*q + 11. Let c(d) = -5*b(d) + u(d). Let o(a) = -a - 2. Let s = 5 + -3. Let w be o(s). What is c(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/(sqrt(40)\/(sqrt(8)*-3)))\/(sqrt(96)\/(sqrt(12) + (sqrt(108)*1 + sqrt(108) - sqrt(12)))))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8528 and 35711.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 - h + 2*h**3 + 2110*h**4 - 2107*h**4 to the form v + l*h + p*h**2 + q*h**3 + r*h**4 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24 + (-5 - -1 - 0). Let i = d - 17. Is 16 a factor of ((-6)\/i)\/(4\/(-78))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4201*y + 4205*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzcmzbnn. What is prob of picking 1 c, 1 b, and 1 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 635*k = 626*k + 81 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514213, 1028274, 1542337, 2056402, 2570469, 3084538, 3598609?\nAnswer: 4112682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-2\/5)*o)*o**(-1\/4))\/(o**(-4\/7)\/(o\/(o**5\/o)))*((o*o\/((o**1*o)\/o))**(-31))**(-27) assuming o is positive.\nAnswer: o**(116609\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -2, -3, -783.\nAnswer: -783, -3, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -41*s**4\/12 + s**3 - 6*s. What is the second derivative of h(t) wrt t?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047318 to 4 decimal places.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 11:59 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0, -5, -55\/6, 0.3, 3 in descending order.\nAnswer: 3, 0.3, 0, -2\/11, -5, -55\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3237, -3200, -3177, -3174, -3197?\n\"Answer: -w**3 - w**2 + 47*w - 3282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/350 or 1?\nAnswer: 11\/350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2479, 4960, 7441, 9922, 12403, 14884?\nAnswer: 17365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14679632 divided by 7339816.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1756*n + 1197*n - 1402*n. Let r(m) = 2*m**2. Give r(v(f)).\nAnswer: 4811202*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1154, 2302, 3450, 4598?\nAnswer: 5746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*s*t*x**3 - 94*s*t*x - 2*s*t - 2*x**3 + 2*x**2 + x wrt x?\nAnswer: 762*s*t*x - 12*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2899688 and 1079?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1384275*v**3 - 2768545*v**3 + 1384283*v**3.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2944*f + 7 - 8 + 1.\nAnswer: -2944*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 393183.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*m = 1030*l - 244*m + 12364, 5 + 3 + 0 = -2*l - 4*m for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 866*g**3 - 3*g - 223744?\nAnswer: 2598*g**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11790 - 11790.009517. What is w rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 596 - 529. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15 = -5*l, 2*c - 22*l + 12 = -25*l. Solve -3*w - 2 = -2*s - 7, c*w - s = 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4409396 centuries?\nAnswer: 4.409396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 194 + 0*z - z - 602 + 171 - z as q + t*z and give q.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -g + 30. Let p = 10.212 - -0.088. Let u = 10 - p. What is the closest to 2\/7 in u, -2, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven twelths of a day?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 9316, 9315, 9314?\nAnswer: 9313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 12 - 6)*(-3*r + 2 - 2)*(-15 - 10 - 2).\nAnswer: -1134*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*w - 39*w - 21*w in the form v + c*w and give c.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 2 - 2. Let q(u) = 48*u**2 - 11*u + 11. Let f(h) = -25*h**2 + 6*h - 6. Let i(z) = -11*f(z) - 6*q(z). Calculate l(i(c)).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/((-2)\/(-2) - 2). Suppose k + 0*x = -x - 2, -k = 3*x + p. Suppose k = 3*w - 2*m - 56, 2*m - 76 = -4*w + 6*m. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -19.000075. Round w to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-804)\/(-1407)*7\/(-162).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/11)\/(-18))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from ttete?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 530 + -466. What is the remainder when y is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from mnnmmimsvsrsrnnsss?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -38 - (-17 + 1) - (-1 - -2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 - 464 + 235 = 14*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0242085mg in kilograms?\nAnswer: 0.0000000242085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4930 is divided by 938?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 16*t**2 + 14*t + 10. Suppose -s + 3 = 3*v, s + 2*s - 53 = 2*v. Calculate r(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*r**3 - 3 + 43*r**4 - 2*r**2 + 44*r**3 - 41*r**4 + 2*r in the form m*r + q*r**4 + g*r**3 + d*r**2 + b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1415414 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -222.9999254 + 223. What is y rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-12))\/((-18)\/(-9))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*d - 1623 + 1610, 3*d - 4*l = 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 50*d - 69*d - 752 = -8*i, 5*i + 25 = 3*d + 140 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -28*j + 27. Let d = 13 - 21. Sort d, j, -3 in decreasing order.\nAnswer: j, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/6)\/(-1))\/((144\/(-3))\/1).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1223, 10175, 34595, 82217, 160775, 278003, 441635?\nAnswer: 659405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*k*p**3 - k*p + 6684*k*z - 5376*p**2*z - 28 wrt p?\nAnswer: -72*k*p**2 - k - 10752*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*h = 5*t - 630, 591 = h + 3*t + 577 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 415.03 + -407. Let k = -0.15 + c. Round k to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 497 - 6241 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + a**2 - 5*a**2 + 438*a**3 - 420*a**3.\nAnswer: 18*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -66 + 18 + 26 + 269*r + 22. Let f(q) = -6*q**2. Give f(i(w)).\nAnswer: -434166*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 96\/23 greater than or equal to 3\/475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 2 + 0*w**3 + 1 - w. Let x(h) = -3*h**3 - 2*h**2 + h + 1. Let j(n) = -n**2 - 2*n + 14. Let a be j(-5). Calculate a*t(l) - x(l).\nAnswer: 2*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1313 + 1004. Is -1 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*h**3 + 1020*h**2 + 795*h - 200.\nAnswer: 5*(h + 1)*(h + 40)*(5*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*f = 15, -4*n - 1 + 13 = 2*f. Solve -5*t = 10, -n*t + 8*t + 25 = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1521)\/299 - -5 - 282\/(-69).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) -2 (b) -6 (c) 1 (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25639864 is divided by 161257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3647737 greater than or equal to -3647736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 8:18 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 - 49. Let i be (-5)\/(-10) + 44\/u. Let t = i + -4\/7. Which is the third biggest value? (a) -2 (b) t (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -5*f - 20. Let q = f - -23. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 3\/58 (c) -4 (d) -5 (e) 0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12813100 is divided by 355919?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -29, -0.03, 3\/8, 5, -0.2 in increasing order.\nAnswer: -29, -23, -0.2, -0.03, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:09 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17588347?\nAnswer: 7, 331, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 167*l + 7920 - 739 for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010238 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 27072601020.45 and -1.1.\nAnswer: 27072601019.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 121 - 244. Let n = -96 - x. Let w be (-2)\/(-15)*10 + (-39)\/n. Which is bigger: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317672255.\nAnswer: 5, 63534451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/p**5))**26)**(14\/9))**16 assuming p is positive.\nAnswer: p**(29120\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42054 - -42053.8. What is the nearest to j in 26, 1\/44, 0.3?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6128 and 206512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.086 + -9.914. Put -5, 1, j, -3 in increasing order.\nAnswer: j, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131.33565441+-1096\nAnswer: -964.66434559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124735395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, p: 3, y: 1, r: 1, g: 1, f: 2}. Give prob of sequence gxpx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(242) - -6*(sqrt(242) + 2)) + sqrt(242) + sqrt(242) + -2 + 1)**2 + 5.\nAnswer: 1188*sqrt(2) + 19643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2350348 kilograms?\nAnswer: 235.0348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -63045878?\nAnswer: -63045883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*sqrt(832))**2*-3*6 + 4 + (0 + sqrt(832)*1 - sqrt(832) - (1 + sqrt(832))*6)**2.\nAnswer: -1467608 + 576*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:48 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197266069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 13. Let y = u + 34. What is the remainder when 45 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w**3 + 12 + 68*w - 52*w**4 + 46*w**2 - 46*w**4 + 82*w**4 + 38*w**2 = 0. What is w?\nAnswer: -1, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 23*s**2 + 14*s**2 + 5*s**2 - 3 - 34.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/4*(0 - (-4)\/(-12)). Let b(d) = -62*d**3 + d. Let c be b(l). Let w(s) = -57*s + 42 - c*s - 42. Let a(h) = 2*h. Calculate a(w(o)).\nAnswer: -236*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 7*s - 13. Let a be q(-9). Find the third derivative of 5*g**2 - 2*g**2 + g**2 + 3*g**2 - 7*g**a wrt g.\nAnswer: -420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7191 and 4947?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 17*t + 1. Let b(l) = 52*l + 4. Let a(j) = -3*b(j) + 8*i(j). Calculate the remainder when 59 is divided by a(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4653*k = -4634*k + 56, k + 38 = -4*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l**2 + 17 - 13*l**2 + 4 - 8*l**2 - 37 to d + s*l + v*l**2 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/1)\/(1\/6*-15).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81498302 is divided by 791?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33167\/83148 - 76\/169. Find the common denominator of -33\/20 and n.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 141110829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y**2 + 5*y + 3. Let q(t) = -5*t - 1. Let z(v) = -6*v**2 + 34*v + 4. Let u(b) = 8*q(b) + z(b). Calculate -3*c(n) - 2*u(n).\nAnswer: -6*n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 765801 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 1. Let j(x) = x**2 + 5*x - 1. Let h be j(-6). Let k(s) = 3*s - 5*s - 4*s**2 + h*s**2. Let f(z) = 2*i(z) + k(z). What is f(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212328.73 - 3.663347?\nAnswer: -1212332.393347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28466 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t = 75. Suppose t = 2*p - 5. Suppose -k + p = -26. What is the greatest common divisor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*c**3 - 1 - 69*c**3 + 11050*c**2 - 17*c**4 + 0 + 11056*c**2 - 22105*c**2 to m*c**2 + f*c**4 + b*c**3 + p + x*c and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiw when three letters picked without replacement from iiccicwcic?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-60) - (-36)\/10. Differentiate -4*x + 10*x**3 + h*x + 10 + 0*x wrt x.\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11604 + -10598. Calculate the least common multiple of z and 34.\nAnswer: 17102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 0 + 4 = -3*d, 5 = -3*d + 4*o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*h - 902988 = 0, 7*h = 5*t + 5*h + 903006. What is t rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1022 less than -1023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3141 divide 244854715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*g - 5276, 0 = -2*g - 5*c + c + 2106. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14187, -5, 28, -0.5, 2\/3, 7\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 28*w**2 + 312*w - 10980 = 0?\nAnswer: -183\/7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, -51, -158, -329, -576, -911, -1346, -1893?\n\"Answer: -2*g**3 - 14*g**2 + g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 2\/11 (c) -1\/4 (d) 0.0957116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnnflhnhlmnnfhnlhf. What is prob of picking 2 h and 1 l?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-57)\/(-12))\/((-2)\/(-8)). Let i = 11 - z. Let w(g) = -g**3 - 8*g**2 - 2*g + 1. What is the tens digit of w(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*i - 3233718*g**2 - 1341*g*i + 7*g + 8*i + 1 wrt g.\nAnswer: -4*i - 6467436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 984 less than -353340?\nAnswer: -354324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(3\/2)*d**(-3\/4))\/(d\/d**1)**(-2\/11))**(-6) assuming d is positive.\nAnswer: d**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331008 - 8*q**3 + 331008 - 4*q**3.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4, -v + 0*f = -f - 161. Let j = v - 165. Let d(i) = -i**3 - 4*i**2 - 2*i + 2. What is d(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/((-165)\/(-11))*4\/(-8). Sort b, -1291, -4 in increasing order.\nAnswer: -1291, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10522, 10520, 10518, 10516, 10514, 10512?\nAnswer: 10510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*l + 9 + 50*l - 125*l + 19*l - 261)*(0*l + 4*l - 3*l) in the form n + u*l + j*l**2 and give u.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382918*j + 1960 = 382883*j for j.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39696 - (-17 + (-1 - -20))?\nAnswer: 2, 89, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = -8. Is 6*1\/d + 46 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 474 = 444. What is the remainder when 71 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 7. Let d(a) = a**3 + 7*a**2 + 4*a + 6. Let s be d(b). What is the highest common divisor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 8*z + 4. What is the remainder when 18 is divided by k(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u**2 + 0*u**2 + 4*u**2. Let h(w) be the first derivative of -13\/2*w**2 + 0*w + 30. Calculate b(h(x)).\nAnswer: -338*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 420 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 170*j - 33692. Give f(-287).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {j: 6, r: 8, z: 1, t: 1, v: 3}.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/188 - 5852\/53580)*-2. Let f(r) = r**3 - 5*r**2 + r - 3. Let z be f(5). Suppose z = k + 1. Which is greater: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5928 is divided by 403?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1167 + -21?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p**3 + 14*p - 6. Let r(x) = x**2 + 21*x**3 - 15*x**3 - 7*x**3. Let w(h) = -l(h) + 10*r(h). Factor w(u).\nAnswer: -2*(u - 3)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10672 = f + 3*f - 19240. Calculate the remainder when f is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-800)\/60)\/(1\/3). Let y = -34 - l. Solve 3*o + 15 = 3*j, 3*o = -y*j + 2*j + 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 n, and 1 s when three letters picked without replacement from {d: 1, n: 1, s: 1, o: 2, b: 2, m: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18408\/137 or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**0*j))\/j**(-2\/9))\/(j**3*j**(-1\/4)\/j))\/((j**(2\/9)*(j\/(j\/j**(-1)*j))\/j)\/(j**2)**(3\/16)) assuming j is positive.\nAnswer: j**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/22 and -43\/462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 3*b**5\/25 - 473*b**4\/10 + 236*b**3\/5 + 55*b + 22. Find u such that g(u) = 0.\nAnswer: 0, 1\/2, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 15 - 11. Suppose -7 = -z*i + 215. What are the prime factors of i?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -3, -1, -1\/15, 2\/3, 1.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -162 + 190. Suppose 2*b - 3*p = 2*p + 5, -5*b = 3*p - a. Let d = -4 - -14. Solve d = 3*t - b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 19*n - 69. Calculate d(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 6*m**3 - 129*m**2 - 1506*m - 720 = 0.\nAnswer: -8, -1\/2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1982*a**2 + 255*a - 2045*a**2 + 4185*a**2 wrt a.\nAnswer: 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 15 = 18*t. Let x be 1*(-2)\/2 + 45\/t. Suppose 5*b = -4*m + 34, 3*b = x*m - 6*m + 30. Solve -3*v + m = -3*n, 3*n + 3 = -0*v + 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362 + 19294131.6.\nAnswer: 19294493.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (92\/(-12) - -5)*3\/(-4). Suppose -k + 4 = r, -o*k - 19 + 25 = 3*r. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11672 and 2918?\nAnswer: 11672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1505 and 376551?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -709 and -0.04.\nAnswer: 28.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14*(-145)\/2436 - (38\/12 - -2). Which is smaller: -139\/21 or f?\nAnswer: -139\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.034761 to 4 dps.\nAnswer: 0.0348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 3)\/(69\/(-207)*3\/14197) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5671 (base 10) to base 7\nAnswer: -22351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 1:23 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5906 is divided by 5406.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.072 - 7.628. Let a = 4.7 + n. Let j = 0.86 + -0.66. What is the second biggest value in 0, a, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -52*l + 678\/13 - 2\/13*l**2 = 0.\nAnswer: -339, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fkfkfff.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29802 = -21*q + 261915. List the prime factors of q.\nAnswer: 7, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2884 + -2.4?\nAnswer: -2886.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2805*a + 22372. Calculate y(-8).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02062 and 4.\nAnswer: -0.08248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**4 - 290*w**3 - 11902*w**2 - 95542*w + 107736 = 0.\nAnswer: -67, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540 and 2376.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 16208735*s**2 + 41820*s - 13940. Let i(o) = -3488*o**2 - 9*o + 3. Let v(r) = -13940*i(r) - 3*y(r). Let p(c) = 2*c. What is p(v(n))?\nAnswer: -6970*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymtggmygymgygmgtmg. Give prob of picking 2 y and 2 g.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzhnnzzznnuhzzzszzzr. What is prob of sequence zsun?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/4*(4 - 3). Which is smaller: -37\/13 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 43582723*s**2. Let o(v) = 2*v**2. Calculate p(o(i)).\nAnswer: 174330892*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, w: 1, a: 1, d: 1, j: 1}. What is prob of picking 1 a, 1 j, and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424136866.\nAnswer: 2, 131, 257, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g - 2655 = -430. Is 32 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -1\/4 (c) 1\/4 (d) -66\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 1 - (1 + 2) - (646 - 673)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3489 and -200?\nAnswer: 3689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/((-8)\/(-24)). Suppose -5*f - 2*m = -62, 3*f - 4*m - 8 = r*f. Let w(i) = -2*i**2 + 6*i + 6*i - f*i. Let h(b) = b**2. Give w(h(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105005*b**2 + 105039 wrt b?\nAnswer: -210010*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4171 + -1511. Is 28 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 11 (b) 4 (c) 174\/2219 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1243 - -715. Let c = 527.59863 + b. Let m = c - -0.4. What is m rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49.3*-111.676\nAnswer: -5505.6268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 2*l**2 + 3*l + 2. Let o be v(3). Let j(x) = -3*x**o - 10*x + 26*x - 16*x. Let a(t) = -6*t**2. Give a(j(d)).\nAnswer: -54*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 + 1259. Is x a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214253, -428522, -642817, -857150, -1071533, -1285978?\nAnswer: -1500497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -67 + -1 + 45\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -34*y**2\/3 + 5192*y\/15 + 135744\/5.\nAnswer: -2*(y + 36)*(85*y - 5656)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from vvvwfwvvvwfffwvffwf.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 14. Let h be -4 - (23\/u - -1). What is p in h + 3\/4*p**3 + 9\/4*p + 9\/4*p**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215179*q**3 + 431826*q**3 - 215856*q**3.\nAnswer: 791*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i - 1. Let h(j) = 2*j. Let n(x) = 2*a(x) + 6*h(x). Let p be n(2). Let y = 112 - p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687437?\nAnswer: 687437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*x - 23 = 0, -9 = b + 5*x - 2. Suppose 10 = 4*i + 5*c - 4, 3*c = 5*i + 1. Sort b, -4, i.\nAnswer: -4, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 1. Let n(x) = 14*x**2 - 7. Let h(i) = -14*f(i) - 2*n(i). Find the second derivative of h(r) wrt r.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -1\/22, 3.1?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55274, -110594, -165918, -221246, -276578, -331914?\n\"Answer: -2*x**2 - 55314*x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2933882 (base 10) in base 5?\nAnswer: -1222341012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 less than 21.586?\nAnswer: -6.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24186838 divided by 10394.\nAnswer: -2327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 11) in base 2?\nAnswer: -10101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -10*v**3 - 75*v**2 - 95*v - 30 = 0?\nAnswer: -6, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 2:45 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 593, 583, 573, 563, 553?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 147.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*x = -4, -5*a = -2*x - 26 + 1. What is the second derivative of -14*v - 10*v**3 + 19*v**5 + 21*v**3 - 11*v**a wrt v?\nAnswer: 380*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4031 + 3999 = m, -6*m = a + 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 73*v + 783. What is w(-60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -3698, 0 in increasing order.\nAnswer: -3698, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**13*t**(-1\/6)*t assuming t is positive.\nAnswer: t**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4181 + -0.41. Round f to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5024696 and 668.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s = 37*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -78 + 104?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 271714056548 from 4.\nAnswer: -271714056544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 12*t**2 + 11*t + 5. Let d be z(11). Let f = d + -7. Let w be 4 - (-4 - (f - 0)). Solve -2 = -2*o - 2*b, 4*b = -2*o + 4 + w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + s - 86 = 0, 5*t = -0*t - s + 144. Suppose -2*p + 9 = -3*x - 9, -3*p + 4*x = -29. Calculate the remainder when t is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10002680 is divided by 1989?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 158*r. Let c(y) = y + 2. Let i(u) = 3*u + 5. Let j(o) = 5*c(o) - 2*i(o). Determine j(h(t)).\nAnswer: -158*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5 - 59*q**4 - 168*q**3 + 1796*q**2 - 480*q - 4032 = 0 for q.\nAnswer: -6, -4\/3, 2, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5163617125.00000058 + 5163617192. Let v = i + -67. What is v rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*k + 735 + 1709 = 0. Let f = 988 + -565. What is the highest common factor of k and f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 14*r - 32. Let o be (-190)\/(-6555) + (-550)\/(-69). Determine t(o).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.7*0.0321362.\nAnswer: -0.34385734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 8*d + 2760. Suppose -d = -21*g + 18*g. What is the remainder when g is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/24 and 7\/243?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 c when three letters picked without replacement from {r: 1, i: 1, q: 2, c: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*g + 22*g - 9. Calculate the remainder when 21 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - 3*sqrt(117)*-2) + sqrt(117) - ((sqrt(117) + sqrt(117)*-3)*-1 - sqrt(117)))\/((-2*sqrt(108)*3 + sqrt(108))\/(2*sqrt(12)*1)).\nAnswer: -14*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1596336 and 364?\nAnswer: 20752368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2473035*r*v**3 + r*v - 17*r - 57*v + 4 wrt v?\nAnswer: 14838210*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 27*l**2 - 31*l - 7. Let g be b(-26). What is g rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, 13, 5\/79?\nAnswer: 5\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*k**(-1\/8)*k)\/k)\/k)\/(k*k*k\/k**(-4\/3)))**47)**(-4\/7) assuming k is positive.\nAnswer: k**(5029\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-690)\/(-414)*(63\/(-5))\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74.89 + 0.11. Let r = -74.99999958 + y. Round r to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40252*d**2 - 3*d**3 + 40252*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 2*z**3\/3 + 7*z + 1. What is the derivative of x(y) wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11091 - -45518. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 5375513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 60*r. Let o(m) = 9*m + 5. Let i(j) = -2*j - 1. Let a(p) = -5*i(p) - o(p). Determine k(a(v)).\nAnswer: -v**2 - 60*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-33)*4 - (-2190)\/4015?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*p + 2*p. Suppose 4*a + 1049 = 2*g - 83, 5*a = -p*g + 1132. List the prime factors of g.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2295)\/1850)\/3 - (-2)\/5. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:49 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 957.\nAnswer: 32538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -172582, -345165, -517748, -690331?\n\"Answer: -172583*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/10985634 and 47\/332898.\nAnswer: 10985634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34 + 5?\nAnswer: -2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + (-36)\/16)*-64. Let g = p - -52. Suppose -g*s - 5*l = -s - 177, 0 = 5*s - 2*l - 264. Does 31 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbff when four letters picked without replacement from {b: 1, f: 4, n: 4, v: 3, a: 2, x: 3}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55805\/8 - 6951. Which is smaller: y or 26?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f = -21*f - 3*s + 18, 4*f + s = 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g - 21. Give b(10).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**7*v**(1\/5))\/(((v*(v\/(v**7\/v)*v)\/v*v*v)\/v)\/(v\/(v**(1\/4)*v))))\/((v**(-1))**16)**47 assuming v is positive.\nAnswer: v**(15259\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 7*m - m)*(1118*m**3 + 1788*m**3 - 811*m**3) in the form h*m**2 + v*m**4 + d*m + o*m**3 + w and give v.\nAnswer: 4190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84652001 + 163819999 = -36*a. What is a rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 12*i**4 - 86*i**3 - 1098*i**2 + 2444*i = 0.\nAnswer: -47\/6, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(252) - (sqrt(252) - (1 + sqrt(252) + sqrt(252))*-2) - (sqrt(252) - (sqrt(252) + 0)*-5))**2.\nAnswer: 240*sqrt(7) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 0*q - 11 = 4*q, -4*n + 5*q = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 2. Let t be y(-1). Suppose n - 3 - t = 0. Suppose -3*m + n*m = 19. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -16. Suppose v*b = -11*b + 130. Solve 2*q + 2 = b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 963.3598 years to decades.\nAnswer: 96.33598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38905264083 - 38905264087 + 89*d**2 - 225*d**2.\nAnswer: -136*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c0b3 (base 16) to base 6.\nAnswer: 3511111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -3) + (-2 - 0). Suppose l*u = 281 + 39. What is the highest common factor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*1 - sqrt(220))\/sqrt(11))\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 4. Let h be x(5). Let s = h + -6. Suppose 3*r - 1 = 4*z, 4*z = 13*r - 16*r + 17. Solve -z*n + 6 = -s*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (20209\/3)\/((-98)\/(-210)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.32551151 plus -4875?\nAnswer: -4961.32551151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f**2 - 254*f**2 - 46*f**2 - 6*f**2.\nAnswer: -284*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 467*t - 8876. Give n(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12718 is divided by 4210?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 6*s**2 + 2*s + 7. Let d be y(-6). Let k be ((45\/20)\/(-3))\/((-2)\/16). Let q = k - d. Calculate the remainder when 20 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**3 - 4*v**2. Let n(o) = 3*o**2 + 10*o**3 - 14*o**3 - 5*o**3 + 4*o**3. What is 2*l(t) + 3*n(t)?\nAnswer: -7*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -187 - -187.0154. Round u to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -782*y**3 + 4*y**2 + 2*y + 2. Let v be r(-4). Let o = 35106 - v. Round o to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5771966?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 (base 10) in base 4?\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 30 = -7*l. Suppose 5*h - 15 = 0, -8*f + 10*f + 3*h - 829 = 0. Suppose -l*a + f = -a. What are the prime factors of a?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/19*z**2 + 0*z**3 + 2\/19*z**4 + 12\/19*z + 0.\nAnswer: 2*z*(z - 2)*(z - 1)*(z + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lniwnaqwiiw. What is prob of sequence wqn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = 7*z + v + 23, -2*v = -72*z + 57*z + 319 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0029032 to 4 decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/o**8)*o*o\/((o*o\/o**(-2\/5)*o*o*o)\/o)*o)\/((o*o*o**(-1\/5))\/(o*o*o**(2\/31))) assuming o is positive.\nAnswer: o**(1219\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7331254ng in grams?\nAnswer: 0.0000000007331254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*d, 373*d + 6 = 2*r + 370*d. Let y = -0.12 - -0.14. What is the second smallest value in 14, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5684 (base 12) to base 11\nAnswer: 7241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*b**9)**(1\/27) assuming b is positive.\nAnswer: b**(8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h**2 - 8*h. Let l(a) = 158815*a. Give l(w(y)).\nAnswer: -1429335*y**2 - 1270520*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882 = -836*v + 885*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -720 - -722. Let c(j) be the first derivative of 0*j + 0*j**5 + 0*j**4 - 1 + 7\/2*j**b + 7\/6*j**6 + 0*j**3. Find the second derivative of c(z) wrt z.\nAnswer: 140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 6*x**2 + 35*x + 198. Let s be f(-7). Solve -4\/9*m + 0*m**s + 4\/9*m**3 + 0 = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587370 plus 0.04?\nAnswer: 1587370.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -7.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 193884851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 3*h)*(5*h - 5*h**2 - 5*h) + 4*h**3 - 3*h**3 + 0*h**3 - h**3 - 3*h**3 + 2*h**3 + (1 - 1 + 2*h)*(2*h**2 - 2 + 2) - 2*h + 4*h**3 + 2*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -264097 or -264112?\nAnswer: -264112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*p + 9*p - 22 + 1 + (-p + 0*p + 0*p)*(4 - 6 + 0).\nAnswer: 3*p - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3634512 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 206*p**3 + 7*p - 2 - 95*p**3 - 7*p to t*p + m + b*p**3 + k*p**2 and give b.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdgg when four letters picked without replacement from ggdggggdggggdgggdgd?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7398 by -21.\nAnswer: 2466\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**3 - 8*t**2 + 7*t - 2. Suppose -32 = -2*k + 4*i, 0*k + i = 5*k - 35. Let u be h(k). Suppose -4*z + u = 4*z. List the prime factors of z.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -26. Solve 20 = y*w + 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 12*k + 15. Let o be g(11). Do 4 and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110958*k**2 + 2055 - 2055 + 33265*k**2.\nAnswer: 144223*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 5, -2\/3, 3, 1, 140, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q - 2598. What is the units digit of -2 - q\/15 - (-6)\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 12198 = -h + 16816, 0 = 5*m - 3*h - 72535. Find the second derivative of 15*y - 122*y**2 - m + 14513 + 15*y wrt y.\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*(sqrt(4) - sqrt(64)))\/(sqrt(2048) - sqrt(2048)*-4 - sqrt(32)).\nAnswer: -sqrt(2)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -565 by -6.\nAnswer: 565\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -6) + -17 + 4 + 6 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1120 = -5*b - 0*b, 0 = -4*b + 3*v - 895. Let r = 354 + b. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55677 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + 3 + (-1 - (19 - 26)) - 53?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 z, and 2 o when four letters picked without replacement from {z: 2, a: 4, o: 3}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2.4, -1, -156, 0.03?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -111 in 0, 1306, 0.1, 0.04, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) + 72\/32. Suppose 10 = 5*z + 2*a, a = -k*z + 2 + 1. Let q = -1 + 1. Sort -4, z, q in increasing order.\nAnswer: -4, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 832 by 4.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.6582 seconds to microseconds.\nAnswer: 46658200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p**1*p*p)\/p)))\/(p*p\/((p**(-1\/6)\/p)\/p)))\/(p**(-7)*p*p\/(p\/((p\/(p*p**(-2\/9)))\/p*p))) assuming p is positive.\nAnswer: p**(65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 5)*(-1 + 1 - 2*g) + 0*g - g + 2*g - 7*g + 1 - 1 - 3*g + 4*g - 3*g + (1 + 6 + 3)*(-8 + 8 - 3*g) to h + a*g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12884.193 minutes to weeks.\nAnswer: 1.27819375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -0*w - 2*w. What is the least common multiple of (2\/(-8))\/((-14)\/112) and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194540 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -886100 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 27. Suppose z*w - 4*w + 243 = n, 4*n = -2*w + 1028. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23101130300 (base 4) to base 13.\nAnswer: -7c6070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*p + 16*p - 681. Let h = p + -391. Let k = h - -4427\/27. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1882*f*k**3 - 4*f*k**2 - 127*f + k**2 - 1 wrt k.\nAnswer: -11292*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/360 and -151\/12?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**5\/3 + 68*r**4\/3 + 407*r**3 + 726*r**2 = 0?\nAnswer: -33, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/18807088 and 51\/13768.\nAnswer: 18807088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(32)\/sqrt(4)))\/(sqrt(132)\/sqrt(11)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/((h\/h**(3\/8))\/h)*h)\/h**(-26\/3))\/(h\/(h**(-1)\/h))**(-36))**7 assuming h is positive.\nAnswer: h**(20167\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 + -80. Find the common denominator of -85\/24 and s\/(-8) - 5\/((-120)\/167).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 16*u**2 - 2*u - 20. Suppose 4*o + 57 = -7. Let y be h(o). Suppose 0 = 13*l - y*l - 13. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/308 and 59\/140.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-35) - (-19)\/7. Suppose 65 = 5*g - 5*i, l*i = -2*g + 2*i + 38. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32358 is divided by 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 4*b - 2. What is s(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmmmmmmmqmmmm. What is prob of picking 3 q and 1 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/11, -1\/12, -0.06 in decreasing order.\nAnswer: 2\/11, -0.06, -1\/12, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1868*v - 208 = 1852*v. Let m = 18 - -19. What is the remainder when m is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rww when three letters picked without replacement from rrrwrrwwrrrrrrr.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0499 + -0.3499. Which is the nearest to 1\/4? (a) 0.1 (b) 0.07 (c) o (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 118\/42 - (-8)\/(-12) and -23\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-712)\/1246*(-7)\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 17847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -15938.\nAnswer: 4781.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -12121122200211?\nAnswer: -12121122200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 12:09 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2198864, 4397730, 6596596, 8795462, 10994328?\n\"Answer: 2198866*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1717 and 3281?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3787, 3777, 3753, 3709, 3639, 3537, 3397?\n\"Answer: -w**3 - w**2 + 3789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-4)\/36)\/(2\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 - 8 - 5 + 13*z + 14*z**2. Suppose f - 14 - 23 = 2*m, -4*m + 12 = 0. Let w = f - 30. Let j(n) = -5*n**2 - 6*n + 6. What is w*j(k) + 6*g(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 27423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.216 + 0.074. Let g = c + 0.01. Let v = 0.3 - g. Is -2\/17 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-7))\/((-180)\/(-1260)) - 14?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdymf. Give prob of picking 1 m and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*w - 15*w + 16*w - 15134. What is the second smallest value in -2, 4, w, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**8\/(n**10\/n)*n\/(n\/n**(3\/8))*n*n**(1\/8) assuming n is positive.\nAnswer: sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1276 divide 2211308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -267 times -0.1\nAnswer: 26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-2))\/(10\/5). Which is the third smallest value? (a) -0.2 (b) 4\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 26. Let y(f) be the third derivative of -17*f**4\/24 + 2129*f**2. Determine y(k(d)).\nAnswer: -34*d - 442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 49589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**5\/u*u*u*u**(-12)\/u*u*u*u)**(4\/5))**(46\/3))**(-29) assuming u is positive.\nAnswer: u**(21344\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3044789 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/14 + 3)\/((-340)\/714)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.042 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 502*b + 869*b - 181*b as y + i*b and give i.\nAnswer: 1190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 11 = -178. Let q be (36390\/(-4))\/(s\/15). Let c = q - 2163. Calculate the common denominator of 89\/12 and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7413 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272164 is divided by 1440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114917 divided by -337.\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 157 (c) 11 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by 467.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/197 + -1039\/22064. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from {x: 1, k: 1, z: 6, s: 1, a: 5}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 563374*h*q + 506767*q with respect to h.\nAnswer: 563374*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o + 6*o + 5*o + o + 556*o**2.\nAnswer: 556*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1 - 1 - (-1108 + 1090).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 888777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 0*y**2 + 0*y**4 + 0 - 9*y + 0*y**3 - 2\/3*y**6 + y**5 + 5\/42*y**7. Solve r(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**7\/35 - g**6\/30 - g**5\/10 + g**4\/6 + 10*g**2. Factor z(x).\nAnswer: 2*x*(x - 1)*(x + 1)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**(-1\/53)*j\/(j**(-1)*j)*j*j\/(j**3\/j))**5 assuming j is positive.\nAnswer: j**(260\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + -12 - (-9963)\/(1 + 0).\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 2*g**2 - 5\/896*g**8 - 19\/32*g**5 + 0 + 0*g**3 + 25\/32*g**4 - 93\/320*g**6 + 47\/560*g**7 - 4*g. Solve w(s) = 0 for s.\nAnswer: -1, 0, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 5b0475?\nAnswer: -5b0472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/((-6)\/(-8)))\/29)\/((-8)\/4).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -39?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5015 (base 7) to base 5\nAnswer: -23402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**3\/2 - 21651*i**2 + 1345341*i\/2 + 694320 = 0.\nAnswer: -14465, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42116 - -40924. Which is bigger: j or -5954\/5?\nAnswer: -5954\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = -3. Calculate the smallest common multiple of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -12*n - 4. Let m(f) = 3*f + 3. Let u be m(-2). Let r be i(u). Let b = r - 63\/2. What is the nearest to 0.2 in -4, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - r = 244, -4*q - 3*r + 129 = -3*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 4, a: 3, x: 2}. What is prob of picking 2 a and 1 f?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121058 - 50902. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22446733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 861, 2, 10, -2, -3, 3, 24 in decreasing order.\nAnswer: 861, 24, 10, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 l when three letters picked without replacement from gcvlttctblgtvt.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -235\/9 - -2594\/99. What is the closest to 0.1 in 3, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15451368 and 1598?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010011001010 + 110?\nAnswer: -111010011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 10\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -302b - 18?\nAnswer: -3047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 137*h**2 + 80*h + 821. List the prime factors of b(-11).\nAnswer: 2, 3, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30654317?\nAnswer: 30654317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 0.35?\nAnswer: 6.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4232 = -5*z - 4*d, -z - 15*d + 850 = -16*d. List the prime factors of z.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2403 or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -222\/7, 2, -2, -1, -23\/5, -31, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*f - 73*f + 19*f)*(-2 + 0 + 8).\nAnswer: -654*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(82\/(-81) - -1). Suppose 2*l + 4 = 4*l. Suppose -k + m = l*k. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -3*q**3 - 8. Let w(b) = -b. Calculate y(w(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -12\/1307?\nAnswer: -12\/1307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqlq when four letters picked without replacement from pppqqpll.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 76*d**3 + 3*d + 4*d**3 - d - 36*d**3 + 0*d in the form s + h*d**3 + b*d**2 + v*d and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/40 in -4\/3, -9, -23?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 23. Let c = 13 - g. Suppose -4*r + 53 = c. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*k = 2*k + 80, 161 = 4*w - 5*k. What is the remainder when w is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r + 59. Let v be s(7). Solve -v*j - 3 = -0*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -24. Let s = 1 - 4\/5. Which is greater: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - -1ce50f?\nAnswer: 1ce502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 = -3*q + 2, 5*m + 4*q - 19 = 0. Which is the third smallest value? (a) -0.3 (b) m (c) -4\/11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1785083415?\nAnswer: 3, 5, 5099, 23339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + 6*(sqrt(65) - sqrt(65)*3))\/sqrt(5)*2.\nAnswer: -22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5207*d**2 + 8*d - 62. Let y(s) = 15622*s**2 + 22*s - 171. Calculate -11*u(o) + 4*y(o).\nAnswer: 5211*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9053 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: What is the third root of 540248050 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 3)*(3*z - 4*z + 0*z) + z - 7*z + z)*(3*z - 3*z**4 - 3*z).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-195)\/10 - -8*(-6)\/96\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4*t - 6)*(3*t - 7*t + 2*t) + 2*t + t**2 - 2*t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*2)\/(10\/(-45)). Let n = -479.1 + 521. Let w = 42 - n. Put -2, c, w in increasing order.\nAnswer: -2, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 5*i**4 + i**2 + i + 31. Let x be k(2). Calculate the greatest common factor of 22 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 3)*(3 - 1 + 0)*(2*i**3 + i**3 + 2 - 2*i**3)*(-701508 + 908*i**2 + 701508).\nAnswer: 7264*i**5 + 14528*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -344, -323, -302?\n\"Answer: 21*s - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 198.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*n + 96 - 12 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*i**2 - 13*i**2 - 39*i**2 - 12*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -461002\/5 + 92195. What is the common denominator of p and (-2)\/(-36)*3\/2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10062 - 8019. Calculate the lowest common multiple of 1 and u.\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 849 + -36505\/43. What is the second biggest value in -0.2, z, 13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 4:18 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.35 - -4.55. Let a = o + -4. Let m = -0.2054 + a. Round m to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 12:52 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n + 31. Determine a(7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/63)\/2*135\/(-180)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + 19\/(-4))*-216. Suppose 0 = -5*r - r - m. Let z = -21 - r. Solve 4*w = z*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8)*244 + 0. Find the third derivative of -29*d**2 + 79*d**3 - 63*d**4 - 20*d**3 - 31*d**2 + s*d**4 wrt d.\nAnswer: -48*d + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 - 94. Let x(m) = -m**3 + m**2 - m - 1. Let u be x(p). Solve 2*d - 2*k = -k - u, -2 = -k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/((j*j**(-4\/7))\/j*j)*j*(j\/(j\/(j**(-4)*j)))\/j)**(-1\/12)\/((j**2*j)\/j**(3\/2))**(-2\/73) assuming j is positive.\nAnswer: j**(157\/2044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w - 7*w + 3*w + 2*w + 2*w - 2*w + (-6*w + 5*w - 8*w)*(0 + 4 - 2) - 3*w - w + 5*w + 17 - 2*w + 0*w - 6 + 3 - 3 - w as x*w + d and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22948f (base 16) to base 15\nAnswer: 2eb73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -9) + (-37 - -26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1288*a - 358*a + 4223*a - 85646 = 115*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116309 is divided by 2769.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43526857173282*h**2\/19 + 37321032*h\/19 - 8\/19.\nAnswer: -2*(4665129*h - 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t + 782*t**2 - 4*t - 481*t**2. Let u(f) = -7*f**2. What is u(w(h))?\nAnswer: -634207*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 + -2 + (2 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 0*c**2 + 7\/3*c**3 - 9 + 0*c. Let h be v(-1). Solve 0 = 2*g - j - 14, h*g - 16 = 3*g - j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -577*-203.\nAnswer: 117131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*g**2 + 5*g + g**4 - 49 - 43 + g**3 + 91 + g**4 as y*g**2 + x*g**4 + d*g**3 + f*g + o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 10, -94785 in descending order.\nAnswer: 10, -8, -94785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-657))\/((-10228)\/(-7671)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2985006711.\nAnswer: 3, 995002237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3595, 3604, 3621, 3646, 3679, 3720?\n\"Answer: 4*v**2 - 3*v + 3594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 6*h + 7. Let v be d(-5). Suppose -v + 5 = 3*g. Let f be 6\/2 - 155\/55. What is the closest to g in f, -4, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56109 and -2.\nAnswer: 112218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*l - 178*l = 36*l - 52*l + 30879 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 8*k**2 - 8*k - 16. Let p be y(5). Sort p, -5, 5, 3, 4 in increasing order.\nAnswer: -5, 3, 4, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0087899519 to 4 decimal places.\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351352*j - 351352*j - 8*j**2 + 15*j**2 + 30*j**2 + 3*j**2.\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 9*d + 68. Calculate t(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -21 + 77 + (-102 - -31).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(20)\/(sqrt(100)\/(-2*sqrt(10))))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14031\/436 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s)**(-10\/9) assuming s is positive.\nAnswer: s**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3 + 303*j**2 + 10021*j - 10323 = 0. Calculate j.\nAnswer: -31, 1, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 23*r**2. Let n(a) = a - 619. Give n(h(d)).\nAnswer: 23*d**2 - 619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*z + z = 25, 15 = -2*w - 5*z. Suppose 0*l = -l - 4*a - 3, a + 48 = w*l. What is the remainder when l is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 14*x**2 - 10. Suppose -m - 300 = 29*m. Let d(h) = 5*h**2 - 3. What is m*d(r) + 3*a(r)?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-255)*6\/(-3)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 83*p - 575. Let b be y(7). Solve j = 4*t - 1, -b + 2 = -4*t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 9. Let z = y - 5.985. Let k = z - 0.0058. What is k rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 215.\nAnswer: 3, 5, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5953? (a) 3 (b) 0.13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtt when three letters picked without replacement from rittittrrrtt.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -719\/17914 - -2\/169. Let c = 120 - 119.9. Are r and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*i = 7*i - 28, -3*i = -3. Let z = 17 + c. Suppose 23915 = -7*n + z*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 44. Let q = t - -30.000002. Round q to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 0.2 (c) 5 (d) 35 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55\/3, -0.2, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.2, -55\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m - 6\/7*m**4 + 0*m**2 - 2\/7*m**5 + 20\/7*m**3 + 0.\nAnswer: -2*m**3*(m - 2)*(m + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 4*g + 2*g + (-6 + 2 - 2)*(0*g - 2*g + 3*g) in the form p + k*g and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -192 - -223.988. Let k = 0.012 + p. Let t = 29 - k. Sort t, 0.2, -4 in decreasing order.\nAnswer: 0.2, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 15*x = 112. Let d = x + -11. Suppose 2*t - 7*t = -d. What is the remainder when 51 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7041 < 7031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 719574543 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 3:33 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + -1*(sqrt(228)\/(sqrt(96)\/(sqrt(32)\/sqrt(4))) - (1*sqrt(684) - (sqrt(2299) - (sqrt(2299) + -1)))))*-1)**2.\nAnswer: 90*sqrt(19) + 4284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -8. Let d(s) be the third derivative of s**5\/30 + 2*s**4\/3 + 8*s**2. Let p be d(-8). Solve p - o = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31725)\/175 - -203)\/(6\/(-21))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.28005 - -0.28. Round f to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42541 (base 6) in base 10?\nAnswer: -5821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + 177*b - 322*b + 4 + 189*b + (4 - 4 + 3*b**2)*(3*b**2 - 2*b**2 + b**2).\nAnswer: 7*b**4 + 44*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*u + 34 = -j, 3*j + 42 = 3*u. Let q = 30 - j. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 + 4*p**2 - 488*p**3 + 444*p**3 - 123.\nAnswer: -44*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/4*(-2)\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (216\/630)\/((-6)\/110)*224\/16\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 6:01 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -544 - -548. What is the closest to -0.2 in -2\/7, 1, -5, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(204)*-2 - (sqrt(204) - (6*-1*sqrt(204) + sqrt(204) + sqrt(204) + sqrt(204))))\/((sqrt(192) + sqrt(192) + (sqrt(192) - 2*sqrt(192)))*5).\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 9499966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-24)\/(-18)*-13*2\/8 and 9\/(-90) - 76\/(-20)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-24)\/(-126)*3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -10*b + 11*b. Let m = -10 - -13. Put b, m, -1 in descending order.\nAnswer: m, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2771976 and 0.16?\nAnswer: -443516.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-9))\/(4\/6). What is the second smallest value in w, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lalllabbaballl. Give prob of sequence albb.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016366 to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**3\/3 + 5*z**2\/2 - 14*z + 14. Let v be q(-6). Let w be 18 - v\/((-32)\/12). Solve -g + 4*g = -w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3, j: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1847 times 5.07?\nAnswer: -9364.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (10 + -7 - -3 - (-3 + 8)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2762.604 + -2760. Round s to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -229063.8818 to the nearest 1000.\nAnswer: -229000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -12522 (b) 42.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) + 42\/616. Is z less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -24*n**3 + 1298*n**2 - 102*n + 61. Give p(54).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5*x - 3, -4*o - 12*x + 159 = -13*x. What is the remainder when 563 is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*a + 28 = 0, 4*g - 23 = -5*a - 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k - k)*(-46 - 22 - 16)*(1 - 6 + 3)*(1 - 2 + 2).\nAnswer: -336*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.5 - 0.1. Let y = q - -45.6. Let l = 45 - y. Sort 2\/5, 18, l.\nAnswer: l, 2\/5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 300*c. Let i(p) = 77*p. Determine m(i(b)).\nAnswer: 23100*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (4 - 0) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 8. Let w = 31 + -2. Suppose w = 9*g - 43. What is the greatest common divisor of s and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 2 - 1 - (-726)\/11 is divided by (-66)\/((-202 - -206)*1*(-2)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 2*p - 21. Let g be x(-8). Let z = -22 - g. Find the common denominator of z and -32\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 484*i - 17637. What is c(34)?\nAnswer: -1181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2742 divide 1748809212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 512389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.3. Suppose -12 = 5*y - 7. Which is the nearest to y? (a) -4 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -38*w**3 + 22*w**2 + 56*w + 6717. Let y(s) = 21*s**3 - 12*s**2 - 27*s - 3359. Let m(i) = 5*q(i) + 9*y(i). Find the first derivative of m(g) wrt g.\nAnswer: -3*g**2 + 4*g + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119636029.\nAnswer: 119636029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -237*y - 2150. Determine t(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -482*r. What are the prime factors of b(-1)?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {n: 2, j: 1, g: 1, h: 2, b: 2, t: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 411.0465ml in litres?\nAnswer: 0.4110465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3255517651?\nAnswer: 47, 69266333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 24459*z**2 + 22*z + 27. Is 120 a factor of f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7083 - 7083 + 45*o**3)*(10 - 16 - 13) in the form c*o + h*o**2 + k + n*o**3 and give n.\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from xgxxxygyyv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/7 (b) -2\/38715 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 k, and 2 u when four letters picked without replacement from {k: 1, a: 5, u: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 31. Does 26 divide k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -461 + 347. Let q = b + 111. Let k be 8\/(-24) + 0 + 0. What is the closest to k in q, 8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 31696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 127454.2354 to the nearest one hundred.\nAnswer: 127500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/523 in -534, 0.1, 3, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44408385, 88816803, 133225221, 177633639, 222042057?\nAnswer: 266450475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -2, -6, 0.\nAnswer: -6, -4, -2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5111 = -1341*j + 19628 + 19008 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 0*o**2 + 8*o**2 - 6*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -73 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99 - -2) + (-21 - -18) - (24 + -40 + 15)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 3*h**3 + h**3)*(-h - h + 0*h) + 0*h + 0*h - h**4 + (2*h**3 - 4 + 4)*(0*h + 0*h + 2*h) + h - h - h**4 + 46*h**3 - 5*h**4 - 46*h**3.\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -19.7. Let i = -1.1 + s. What is the nearest to -1 in -1, -0.2, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 43434?\nAnswer: -43434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, l: 5, m: 1, z: 3, w: 1}. Give prob of sequence ziw.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/13 - 12*m\/13 - 16\/13.\nAnswer: -2*(m + 2)*(m + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 460937*x**3 - 3*x**2 - 6*x - 8. Let f be d(-4). Round f to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 333021501 (base 6) to base 4\nAnswer: 112332013231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - d + 3*d)*(17*d + 7*d + 0*d) + (d - 4 + 4)*(-1 + 2 + 2)*(-4*d - d + 6*d).\nAnswer: -45*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**6\/40 - n**3\/3 + 3*n**2\/2 + 3*n. Let a(d) be the first derivative of j(d). What is the derivative of a(r) wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 11000?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 13*z - 26. Suppose x - 25 + 17 = 0. Is 7 a factor of v(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a**2 - 3*a + 2. Let p be t(2). Suppose -301*b = -481*b + 6694 - 2374. What is the greatest common divisor of p and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2637284511+0.4491\nAnswer: -2637284510.5509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100*-39.\nAnswer: -3900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*q + 2 - 2459*q**2 - 4 - 4035*q**2.\nAnswer: -6494*q**2 + 120*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19534, -39065, -58596?\n\"Answer: -19531*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 6*y**2 - 1 - y**3 - 10*y - 5*y**2 to the form f*y**2 + j*y**3 + s + b*y and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 22695.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13*m**3 - 9*m**2 - 48*m - 562. Let j(d) = 3*d**3 - 2*d**2 - 12*d - 140. Let v(q) = 9*j(q) - 2*r(q). What is the first derivative of v(g) wrt g?\nAnswer: 3*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 21*f. Let v(m) = 51*m. Give z(v(w)).\nAnswer: 1071*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -14*m - 14. Calculate the remainder when d(-7) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20893 + 81020. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*0.2053.\nAnswer: -0.32848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + w**2 - w**3 + 2*w**2 - 2*w in the form y*w + i*w**2 + q + x*w**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21343 (base 5) in base 4?\nAnswer: 113001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159\/106*((-74)\/36 - -2).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 1:10 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 734350, 1468591, 2202832, 2937073, 3671314, 4405555?\n\"Answer: 734241*u + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-33) + (-4992)\/(-132). Suppose 9*j = 313 + r. Is 39 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38908 * 0.5\nAnswer: -19454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 v when four letters picked without replacement from vvvcvvcccvvvvc.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58593, -234313, -527179, -937191, -1464349, -2108653, -2870103?\nAnswer: -3748699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + sqrt(1872)*-1)**2 - ((sqrt(1872)*-2)**2 + 2)) + 1 - ((sqrt(1872) + 0 + sqrt(1872) + 4 - (-1 + sqrt(1872))*2)**2 + 1)) + 5.\nAnswer: -5624 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -102, -35, 42, 129?\n\"Answer: 5*j**2 + 52*j - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 5*y + 22*y)*(-3*y**4 + 2*y**3 - 5*y + 5*y).\nAnswer: -72*y**5 + 48*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - 15. Let l(o) = -2397*o**2 + 62. Give q(l(s)).\nAnswer: 4794*s**2 - 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -14*d**5\/9 + 586*d**4 - 13976*d**3\/9 - 29624*d**2\/3 + 227200*d\/9 + 23936\/3 = 0?\nAnswer: -4, -2\/7, 3, 4, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u - 63. Let i be o(20). Let g = i - 32. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 7*u - 3. Let y be c(-8). Let j = 14 + y. Solve p - 1 = -4*g, j*g - p - 4 = -12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 0*v**2 - 4*v**2)*(-2*v + 3 - 3) + 371*v**3 + 176*v - 176*v.\nAnswer: 373*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1710 and 8\/513.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063 is divided by 40.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 26. What is the highest common factor of 66 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(648) + -1) - sqrt(648)*2*6)*-3*4)**2*3 + 5.\nAnswer: -1321920*sqrt(2) + 80912309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107663 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 564 = -2*d - 3*n, d - 2*n + 207 = -89. Suppose 0 = 2*o - r - 829, 5*o - 2*o - r = 1245. Let m = o + d. Round m to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r**(-4\/3)))**(-50)\/(r*r*r**(2\/17))**(10\/9) assuming r is positive.\nAnswer: r**(-6070\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39335, 78668, 118001, 157334?\nAnswer: 196667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.2268 and 1\/4005 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, y: 3, f: 5}. Give prob of sequence ymfy.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/38 and 41\/14890.\nAnswer: 282910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1057709, -1057771, -1057833, -1057895, -1057957, -1058019?\nAnswer: -1058081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 48 = 3*h, 5*t = -4*h - 10 + 73 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 4\/9, -2, 4, 19, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.013 + 5.013. Let m = 1.1 + 4.9. Let g = n - m. Are 0.5 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - b - 1. Let w(r) = -r - 9. Let m be w(-8). Let g = -54 - -55. Let f(n) = -n**2. Calculate g*u(d) + m*f(d).\nAnswer: 2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**4\/4 + 5*o**3 + 11*o**2\/2 + 2*o - 35. Let w be m(15). Let b = -95 + w. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 164*m**3 + 62*m**3 - 7 + 95*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*x - 138*x - 799*x - 353*x + 49*x as k*x + o and give k.\nAnswer: -1319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1375, 2769, 4179, 5605?\n\"Answer: 8*f**2 + 1370*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*g + 51 = -69, -3*h + 3*g = 48. Let i be (22\/h + 1)*1. Let u = 393\/5 - 79. Which is the third smallest value? (a) i (b) 4\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(48)*2*2.\nAnswer: -80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*r - 5 = 1, -2*n + 12 = -4*r. Suppose 27 = f + n*f. Let x be ((-40)\/(-6))\/(3\/f). Solve 5*u - 2*y = -0*u + 20, 5*u - y - x = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-15) + 1211\/35. Let k = -32 + z. Suppose -2*m - f = 0, 0*f = 3*f + 12. Solve -5*x + m = -k*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140966 is divided by 70481.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 + 4*z**3 - 4*z**3)*(2 - 2 - z**2 + 5 - 5 - 5*z**2 + (3*z - 5*z + z)*(-1 - z + 1) - z**2 - 7*z**2 + 2*z**2).\nAnswer: -44*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -45.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p - 99 = 0. Suppose -42 = -5*u + g, -p = -3*u - u + g. Let q be (1*u)\/(3\/3). Calculate the greatest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7677995420 to the power of 1\/2, to the nearest integer?\nAnswer: 87624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 94441 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3189558\/11 - -289960. Suppose 4\/11*a**2 + 20\/11 + y*a**3 - 26\/11*a = 0. What is a?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from mfofqkr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3*i + 5*i)*(0*i + 2*i + 2*i + (7*i - 5*i + 4*i)*(-3 - 2 + 3)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:10 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 4, p: 1, c: 3, z: 4, l: 6}. Give prob of picking 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 11*w**4\/12 + 6*w**2 - 3*w - 1. Let i(g) be the first derivative of l(g). Differentiate i(j) with respect to j.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 11:05 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5\/3 + 170*k**4\/3 + 3572*k**3\/3 + 28762*k**2\/3 + 33865*k + 44100 = 0. Calculate k.\nAnswer: -147, -9, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 587 by 61887.\nAnswer: 587\/61887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i. Let c(d) = 2*d. Let a(h) = 5*h + 1. Let t be a(1). Let g be (4\/t)\/(1\/6). Calculate g*x(p) + 5*c(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 2*u + 2*u**3 - 2*u**2 + 2*u + (-u + 3*u + u)*(-u + 2*u**2 + u) - 5*u**3 - 6*u**3 + u**3.\nAnswer: -2*u**3 - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 14) in base 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15418 = -5*h - 11897. Let f = -3987 + h. Let i = -151271\/16 - f. What is the common denominator of -11\/18 and i?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 95 + 11\/4*z**4 - 6\/5*z**5 + 0*z + 1\/12*z**6 + 49\/4*z**2 + 14*z**3. Suppose v(f) = 0. Calculate f.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 2*g**2 + 2*g - 4. Let i be y(3). Suppose 151 = 4*x + i. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/2, -93\/2, -1\/12 in descending order.\nAnswer: 1\/2, -1\/12, -3, -93\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4638993656539 + 0.1.\nAnswer: 4638993656539.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 5 (c) 6.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*u = -21, 2*d + 6 - 8 = 4*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 789.2*0.1\nAnswer: 78.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -677694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649742021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 plus -0.83?\nAnswer: 10.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 5)*(-5 + 5 - 7*h)*(0*h**3 + 0*h**3 - 4*h**3) as t*h + a + x*h**3 + c*h**2 + s*h**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -572*t - 9. Suppose 22*g + 15 + 29 = 0. Is x(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9738732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062845881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.26534 to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-686059)\/(-1608324) - (-50)\/(-120).\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -465.6 + 513. Let f = w + -41. Let g = 6 - f. Which is the biggest value? (a) -1\/3 (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 146\/8 + (-3)\/12. Let a = i - 12. Is 2 - (a\/(-3) - 19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwwwwzw. Give prob of sequence ww.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 539, 1187, 1835, 2483, 3131, 3779?\n\"Answer: 648*o - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 2}. What is prob of sequence aar?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b - b - 6*b + 9*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2273, -2297, -2355, -2465, -2645, -2913, -3287, -3785?\nAnswer: -4425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 14) to base 11\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*r + 1359*r = 6896 - 52137 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7))**(4\/7) assuming p is positive.\nAnswer: p**(8\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -833.2 + 14938.2. Let n = c + -14105.050121. Let a = n + 0.05. What is a rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152437 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -2\/95 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.1. Let a = 0.2 + -0.2. Put a, -5, s in decreasing order.\nAnswer: s, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 76f8?\nAnswer: 76f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*o**2 - 3*o*r**3 + 4*o*r**2 - 6*o + 456*r**3 - r**2 wrt o.\nAnswer: 54*o - 3*r**3 + 4*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, -1\/40, -13, 329.4, 4?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 414 = -5*x, 3*k - 4*k = -4*x - 181. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 - 2*c + 1. Let u(l) = 111 + l - 36 - 42 - 34. Give 2*u(s) + z(s).\nAnswer: 5*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42955540 and 9872.\nAnswer: 171822160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:31 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0694 in 3\/2, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 597999767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 39 = 3. What is the smallest common multiple of (-68)\/(-1224)*(-6 + 24) and ((-1)\/(-2))\/(3\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b*b*b\/(b**(4\/7)*b)*b)\/b)\/b)*b)\/b)\/b*b*b**(3\/8)*b**(-3)*b\/b**(7\/5) assuming b is positive.\nAnswer: b**(-687\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + 2. Suppose 4440 = q*n - 8*n. What are the prime factors of n?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 2. Let w be h(-6). Let c(l) = l - 3. Let p be c(8). Let n = p - w. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*m + 6. Let t(y) = -14*y - 2. Let v be t(m). Calculate the greatest common divisor of v and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20765.\nAnswer: 5, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 74*x + 1087. What is the remainder when 246 is divided by b(56)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20022 (base 3) to base 7.\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 232617, 232643, 232707, 232827, 233021?\n\"Answer: 3*g**3 + g**2 + 2*g + 232611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 + 5 - 615\/672 and 9\/2.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4570170 is divided by 163219?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r + 137. Give u(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15917, -31158, -45719, -59600, -72801, -85322, -97163?\nAnswer: -108324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*y = -20, -5*y - 4 = -3*g - 9*y. Let l(u) = 3*u**2 + 9*u + 2. Calculate l(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -185*l**3 + 6*l**2 - 12*l - 37. Is q(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19 + 21)*(-1)\/(-214). Which is greater: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -642.19341 to the nearest 10.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.1, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.77 + 0.77. Let b = -4.4 - -0.4. What is the biggest value in b, -2\/11, w?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 83364*j - 4168206. Calculate g(50).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 778 + -736. What is the lowest common multiple of 18 and d?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 18*r**2 - 36*r - 17. Let m(v) = v**2 - v - 2. Let s(f) = -7*m(f) + n(f). What is s(-13)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -746754*g**2*x**3 - 1458*g**2*x**2 + 95*g**2 wrt x.\nAnswer: -4480524*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 + 30 - -7) + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 + -2615?\nAnswer: -2645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1180320 and 840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*m + 4 - 4 in the form w + i*m and give i.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u - 5. Let n be d(7). Let p = -17 + n. Is -8 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -1 - 5. Suppose 3*m + c*t + 5 + 7 = 0, 0 = -3*t - 9. Suppose 2*q - 8 = a - 3*a, 0 = 5*a + q - 4. Sort -5, m, a.\nAnswer: -5, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6115026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 - 8*k**2 + 31*k**4 - 4*k**2 + 0*k**2 + 10*k**3 - 30*k**4 as q*k + r*k**4 + u*k**3 + v*k**2 + t and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 14 + 40. Suppose -96 = -19*f + 7*f. Calculate the lowest common multiple of f and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 8*m - 1. Let w be t(5). Let i = w - 9. What is the nearest to 1\/2 in 0.1, i, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-72) - (-14921719)\/(-9). Let z = c + 947969. What is z rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -4*n + 73. Suppose -5*d - 32 = -4*y - 0*y, -40 = -5*y + 4*d. What is the highest common divisor of y and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 2. Let v be k(-7). Suppose v*z = 6*a - 4*a + 34, -5*z = 5*a - 55. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*o + 306. What is the highest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16219\/20853)\/(7\/24)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169707 is divided by 13054.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -501*w**3 - 9*w**2 + 9*w. Let y(x) = -125*x**3 - 2*x**2 + 2*x. What is 2*r(n) - 9*y(n)?\nAnswer: 123*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1320 by -4.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5800 divided by -5?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2\/7 + 18*y\/7 - 20\/7 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 13*a - 4. Let j(n) = -3*n + 1. Let p(o) = -9*j(o) - 2*q(o). Let v(c) = 4*c - 2. Let u(i) = 2*p(i) - v(i). Let w(t) = 3*t. What is w(u(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.425 and 15011.\nAnswer: 15009.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 646 - 372. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 21.69 (b) 10 (c) 2\/7 (d) 32 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4595*q + 26. Let l(x) = -13786*x + 84. Calculate -4*l(d) + 13*p(d).\nAnswer: -4591*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 11 - 6 - t**2 - 7 as m*t**2 + u + b*t and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98\/5*v + 57 + 1\/5*v**2.\nAnswer: (v - 95)*(v - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7220 or 7219?\nAnswer: 7220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 1429 + 1561 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -652126 (base 11) to base 15.\nAnswer: -158c82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001338410166 to six decimal places.\nAnswer: -0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 560400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*u - 128*u - 122*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7))**(-35\/6))**16*(n*n**(-2\/7)*n*n*n**0*n*n)**(-2\/65) assuming n is positive.\nAnswer: n**(36202\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*m + 5*v = -177*m + 30, 5*v - 57 = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(-2)\/8 + 0. Let h(s) = 5*s**2 + 6*s - 2. Let i be h(-2). Let r be 4\/(-6) + i\/6. Which is the third smallest value? (a) -2\/9 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:01 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -9, 18, 1, 0, 10 in descending order.\nAnswer: 18, 10, 1, 0, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -154035 and 0.092?\nAnswer: 154035.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102.437 nanometers in micrometers?\nAnswer: 1.102437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-18))\/((-10)\/(-15)). What is the thousands digit of (k\/6)\/((-2)\/6)*1123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164283 + 124851 = 11763*d - 163969 - 511463 for d.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 + -6.8. Let i = g - -7. Let n = 0.1 + -0.1. What is the closest to n in -0.3, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8675032*k**2 + 89943079 wrt k?\nAnswer: -17350064*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 108 + 67. What is the highest common divisor of 105 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -44, 3, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = b + 2*b. Let r be (-12)\/8*12\/(-9). Calculate the common denominator of 18\/11 and (-1)\/(b\/(r\/1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -3\/28, 0, -757?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1882 - 231 - 844 - 19*s - 897.\nAnswer: -19*s - 3854","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 + (15*-1)\/5. Let v(m) = 12 + 0*m - 16 + u*m. List the prime factors of v(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6580 divided by -3290?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1073*c - 83 - 12 - 1068*c)*(-4 + 5 + 2).\nAnswer: 15*c - 285","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 12 = 2*b, 0*j = 2*b - 2*j - 8. Suppose b*u = 7*u. Suppose d + 3*s + 4 = u, d - 3*s + 3 = 23. Solve -3*w = -5*w - d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {g: 1, n: 2, z: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5129999 = 3*p - b, -5*b = p + 1710005. Round p to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141879.87 months in years?\nAnswer: 11823.3225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25647 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2 - 14*q - 16. Let t be r(6). Suppose t*h - 8029 = 13*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 524515 and 2185?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and 0.21.\nAnswer: 10.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d. Let k be m(3). Let z be 366\/15 - k\/30. Factor -c**3 - 24 + 8 - 9*c**2 + z*c + 2*c**3.\nAnswer: (c - 4)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/5218825 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 225 + 211. List the prime factors of r.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -31 (b) -2 (c) -0.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 121061511 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, u: 5, l: 4, f: 5}. Give prob of sequence uff.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**3 - 5*w**2 + 5*w - 5. Let s(m) = -5 + 3*m - 3*m**2 + 2*m**3 + 3 + 0*m**3 - 1. Calculate -5*s(i) + 3*t(i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5. Suppose 2459*v - 2589*v = 390. Let l(w) = -w + 4. What is v*s(n) - 4*l(n)?\nAnswer: 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0491 and -41.95.\nAnswer: 2.059745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42954 is divided by 1339?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 5928, 0.4, 4.\nAnswer: -18, 0.4, 4, 5928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 20 = 5*t - 4*f, 5*t - 20 = -f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**3\/6 - 2*p**2 - 19*p. Let w be q(7). Let v = 6 - w. Calculate the lowest common multiple of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221912986?\nAnswer: 2, 110956493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27992 and 52.\nAnswer: 363896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-8 - -4) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-4)*(-36)\/(-54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-7 - (8 - 0 - 18)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4797181 and 397114?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5903, -5887, -5845, -5765, -5635, -5443, -5177, -4825?\nAnswer: -4375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 11. Let u be a(8). Let y be (1\/(-3))\/(u\/3). What is the closest to -0.1 in -1\/4, 1, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -224, -769, -1834, -3593, -6220, -9889, -14774?\nAnswer: -21049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*y + 8 = 0, -2*a = -5*a - 2*y. Solve 0 = -3*w - a*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 22*w**2 - 24*w + 30. Let m be (-1)\/8 - 2775\/(-120). Let p be n(m). Is 0 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022293583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5807, 7164, 8521, 9878?\nAnswer: 11235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = y + 8 + 15, 5*y + s - 5 = 0. Factor -21*w + 3*w**2 + w + 2*w**y - 25*w.\nAnswer: 5*w*(w - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -397291 + 548?\nAnswer: -396743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/2 - 24583*b**3\/2 + 104062475*b**2\/2 - 122137591301*b\/2 = 0. Calculate b.\nAnswer: 0, 2497, 19589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2997 and 72?\nAnswer: 23976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792731745 to the power of 1\/2, to the nearest integer?\nAnswer: 42341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2. Let r(m) be the third derivative of -13*m**5\/60 - 3*m**2. Give r(f(o)).\nAnswer: -13*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/17*t + 2\/17*t**2 + 4\/17.\nAnswer: 2*(t - 2)*(t - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24567104.\nAnswer: 2, 43, 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 73140 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -886.1 take away -0.6?\nAnswer: -885.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 7*a**2 - 10*a + 8. Let k be d(6). Let f(m) = -m**2 + 6*m + 4. Let u be f(-4). Let q = k - u. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42947 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*r**2 - 203*r**2 + 756*r**2 + 49 - 208*r**2 - 139*r**2.\nAnswer: -2*r**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 703 divide 1965588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22764 = 577*v + 507*v for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3*k + 5*k**2)*(-9 + 7 - 540*k - 208*k).\nAnswer: -3740*k**3 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 782 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.9 - 0.9. Let j = f - 7. Which is the nearest to -0.2? (a) j (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffzfoof. Give prob of picking 2 f and 1 o.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 9*k - 808. Let i(j) = -33*j**2. Let z be i(-1). Let f = z - -59. Calculate the remainder when k is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 1. Let l be x(5). What is the highest common factor of l and 1136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 639?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 4, 5*c + 5 = 2*b - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -8\/15 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - 8*g**2 + 441*g**4 + 4*g**2 + 6*g + 0*g**2 + 3*g**2 in the form t*g + h*g**3 + d + s*g**2 + q*g**4 and give q.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2. Let v(m) = 12*m - 3. Let s(a) = 23*a - 7. Let c(r) = 3*s(r) - 7*v(r). Let w(k) = 7*k. Let z(j) = 6*c(j) + 13*w(j). Calculate z(t(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6405, 6320, 6225, 6114, 5981, 5820?\n\"Answer: -b**3 + b**2 - 81*b + 6486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4779 and 25842.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -49. Let h(v) = -4 - v - 2*v**2 - j*v - 9*v**2. Let c(i) = 5*i**2 + 9*i + 2. Let b(q) = 9*c(q) + 4*h(q). What is b(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) -4 (b) 0.5 (c) 1\/3 (d) -106 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -18*z**2. Let b(c) = 8941*c**2. Give b(p(a)).\nAnswer: 2896884*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2378804 to the nearest integer?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -40164, -40188, -40212, -40236?\n\"Answer: -24*c - 40140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (41118\/(-126))\/11 - (-2)\/(-6)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 4*r + r + 673 - 673.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13616 and 36593?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -2. Let w(y) be the second derivative of 4*y**2 + 3 + 4\/3*y**3 + 11*y + 1\/20*y**5 + 7\/12*y**4. Give w(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 466732.\nAnswer: -46673.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -230122970971+0.12\nAnswer: -230122970970.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**5\/60 - w**4\/12 - 3*w**3\/2 - 4*w**2. Let l be z(-6). Suppose 4*p = -7 + l. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 0*p**2 - 1 + 0 - 2*p**4 - 1 - 5*p as x*p**4 + d*p**2 + r + q*p**3 + l*p and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z - 1. Let f be h(-2). Suppose -g + f = -0*g. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*x = 26, 3*t - 2*x - 3 = 4. Let p be (-1)\/5 - (-16)\/t. Find the second derivative of -3*j**p + 3*j**3 - j + j**4 wrt j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 12:06 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3*v**3 + 17*k**3*v + 2*k*v**3 - 11*v**3 wrt k?\nAnswer: 6*k*v**3 + 102*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -4.9, 2, -8, -1\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -c. Let h = 4 - c. Factor 2*q**3 + 16 + 0*q**2 + 14*q**h + 24*q - 2*q**2.\nAnswer: 2*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 1)*(-22)\/(-4). Let u(i) = -2*i + 1. Let p(s) = 13*s + 2. Let c(n) = 6*n. Let k(x) = -3*c(x) + p(x). Calculate w*u(a) + 4*k(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -191 - -184. Calculate the lowest common multiple of (-72)\/21*98\/y and 204.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5*n + 16, 20*p - 22*p + 12 = -4*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzpnozoodoopp. Give prob of sequence on.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-12) + 30\/8. Solve 17 = 2*v - w*d, -4*v + 2*d = -0*d - 14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*l = -1449 + 4288 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172028 is divided by 85976?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (1 + -3)) + -4 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**7\/42 - 2*q**3\/3 - 2*q. What is the second derivative of i(x) wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29981349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 1*sqrt(68))*-4)\/((sqrt(64)\/sqrt(4))\/sqrt(4)) + -1.\nAnswer: -8*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15359550, -15359536, -15359522, -15359508?\nAnswer: -15359494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33201 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01 and -0.045672602455.\nAnswer: -0.035672602455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((-3506)\/(-347094)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1240 and 880?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (39\/(-26) - -2) + (-41)\/(-65). Let v = j - 19\/26. What is the smallest value in v, 2.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 p when four letters picked without replacement from {p: 6, i: 13}?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94715 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -3073.\nAnswer: -2\/3073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38814069097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2 + 6*t + 6 - 2*t - 2*t. Let d be q(-6). Let i(w) = -2*w - 3. Give i(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 86 + 87)*(5 - 3 + 0)*(-6*q**2 - q**5 - 26*q**4 + 26*q**4).\nAnswer: -374*q**5 - 2244*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36.76 - 8.76. Put r, -2\/13, 0.2 in increasing order.\nAnswer: -2\/13, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10259949, 10259916, 10259895, 10259892, 10259913, 10259964?\nAnswer: 10260051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 9:03 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5197*i - 279346 = 37671 for i.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + x**2 + 3. Let s be d(0). Suppose 0 = -s*k + 309 + 504. Suppose -4*v + 237 = -k. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12128 and 301305?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1738 + -838. Calculate the greatest common factor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 6*t**2 + 5*t. Let n be z(6). Let u = n - 30. Suppose u = f + f - 4. Which is the closest to f? (a) 0.1 (b) 0.4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1 - 1 + 2 + p - 1. Let h(f) = -f**2 - 6*f + 4. Let g(q) = -h(q) - 5*z(q). Let w(r) = 4*r**2 + 5*r + 3. What is 5*g(n) - w(n)?\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -250 - -175. Let u be ((-2)\/6)\/(5\/h). Suppose -5*j - 95 = -u*q + 405, -495 = -5*q + 4*j. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 9124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 67. Suppose -5*h - 111 = -v, -v - i*h - 3*h = -141. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -928 and 0.1159?\nAnswer: 928.1159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -1695746 and -1695746 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**3*t**3 - 3*m**3*t**2 - 124*m**2*t**5 + 11*m**2*t**2 + m*t**2 wrt t?\nAnswer: 12*m**3 - 7440*m**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 9*u = 8. Solve -2*y = u + 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514459987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14166 + 183.024\nAnswer: -13982.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkckkkkkcc. Give prob of picking 2 k.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 6*y**2 - 16*y + 63. Let k(r) = 18*r - 82. Let c be k(5). Is v(c) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15555 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: Let v(b) = 2*b**3 - 3*b**2 - b + 2. Let z be v(2). Suppose 0*d - 12 = -z*d. Solve -d*g**2 - 2 + 4*g**2 + g**2 = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134 - 81. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -191 - 319. Round m to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - -13. Let o = -77 - -116. Calculate the highest common factor of o and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**3 - 20*s**2 + 22*s - 88. Let p be a(4). Solve 4*j - 21*m = -16*m - 53, -5*j - 2*m - 25 = p for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 7*p + 13. Let g be m(5). Suppose -8 = -2*h, 0 = n - g*h - 126 - 84. List the prime factors of n.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 0.3, -4, 2\/249, -3\/271?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680710839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*y - 2 + 12, -i + 8 = 4*y. Suppose 0 = y*x + 94 - 1802. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6574136?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 3928?\nAnswer: 15712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -14 + 48 + 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2146 - 1346. Suppose 5*n = -5*o - z, 2*o + 270 = 2*n - 50. Calculate the smallest common multiple of (12\/(-10))\/(12\/o) and 5.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 1. Let y be j(0). Let x(s) = 12*s. Let d(t) = -t. What is y*x(o) + 10*d(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m - 10. Let f = -3.5 + 4. Let h = -0.2 + f. What is the second smallest value in h, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540774 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142 + -154.3. Let w = n + 12. Put w, 2, -1\/4 in increasing order.\nAnswer: w, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 165, 388, 711, 1140, 1681, 2340, 3123?\nAnswer: 4036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293 + 2*z + 293 + 6*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -261, -460, -751, -1140, -1633, -2236?\nAnswer: -2955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/21990 and 23\/375.\nAnswer: 549750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = z + 8748 + 5273, -3*m - 3*z - 14013 = 0. Let q = m - -7358. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21282, 21258, 21188, 21048, 20814, 20462, 19968?\n\"Answer: -4*p**3 + p**2 + p + 21284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -99 - 55*a**2 + 5*a**3 - 13*a + 108*a - 21 + 10*a**2 + 35*a.\nAnswer: 5*(a - 4)*(a - 3)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from ppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 15*x**3 - 175*x**2 - 62*x + 28. Let g be r(12). What is the closest to 2 in g, -7, -1\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0888 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.05 (c) -2\/15 (d) 201\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a + 3. Determine u(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g - 5*g - g - 7. Let f be h(-10). Solve 0 = -t + 3*x - 7, t + 3*x = 2 - f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1390 = 34*o - 2*w, 3473 = -5*o + 5*w + 3278 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 2*z**4 - 2*z**3)*(-z - 5*z + 4*z) + (3*z**4 + 3*z**4 - z**4)*(z + 0*z + 0*z).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1180, -2162, -2946, -3532, -3920, -4110, -4102?\n\"Answer: 99*c**2 - 1279*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499787 is divided by 115368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -67126 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2328, -2327, -2326, -2325, -2324, -2323?\nAnswer: -2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + 4 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 29*b**2 - 25*b + 70. Give q(-28).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -245*m**4\/12 - m**3\/6 + 116*m**2 - 2*m - 99. What is the derivative of b(n) wrt n?\nAnswer: -490*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1995\/9 + (-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262 = -4*p + 2*p + 258, -4*w = 3*p + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + -2)\/(2*-1). Let k(a) be the second derivative of -a**3\/6 + a**2\/2 - 2*a + 1. Let p(y) = y**2 - 11*y + 11. Let o(c) = b*k(c) - p(c). What is o(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 1.31553565979497.\nAnswer: -5.31553565979497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 14. Suppose g - 6 = -2*d. Suppose d*b - c = -3*b + 115, -5*c = b - 49. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9219164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 840586 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 80*p - 75*p to g*p + t and give g.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**7\/3780 + n**6\/540 - n**4\/27 - 10*n**3\/3 - 15. Let d(t) be the third derivative of l(t). Let d(i) = 0. What is i?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*p - 12 = 0, -2*m - 4*p = -2*p - 34. What is the remainder when (-1)\/4 - (-189)\/4 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**4\/4 - 15*g**3 + 988. Factor w(c).\nAnswer: -c**2*(c + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1206 + -1201. Solve -2*l - 3 = b, -4*l + 4*b = -o*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 2*a + 11. Let y be p(0). Solve 5*j - y - 4 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3\/7, 1\/5, -19, -176, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/11 (b) 1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2 - 82293*m + 103102020 = 0.\nAnswer: 1316, 26115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -21. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**5\/120 - h**4\/8 - 13*h**3\/3 - 4. Let q(y) be the third derivative of m(y). Give q(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4159337, -4159338, -4159339, -4159340, -4159341, -4159342?\nAnswer: -4159343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 1, -957, -1, -2 in decreasing order.\nAnswer: 1, 0, -1, -2, -6, -957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1640852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*p = -9791, 7*u - 5*p = 4*u + 9803. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfddefflmfm. What is prob of picking 1 m, 1 e, and 2 d?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57 or -106455\/1891?\nAnswer: -106455\/1891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 12:04 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4 - 4 + c. Let u(z) be the first derivative of -z**5\/40 - z**3\/3 + 3. Let o(y) be the third derivative of u(y). Give o(f(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 - 2*l**2 + 3*l - 2. Let k be 3 - (0\/3 - 2). Let a(s) = 143 + 5*s**2 - 73 - 7*s + 6*s**3 - 65. What is k*h(p) + 2*a(p)?\nAnswer: -3*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v - 2*v**2 + 3*v + 9*v - 12*v to the form u*v + d*v**2 + y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 76*h = -80*h - 608, -4*h = -2*v + 1196. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 2*c**2 + 2 - 3*c - c**2 - 2. What is the remainder when 11 is divided by z(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + (sqrt(17) - (sqrt(17)*-1 + 5))**2 + (sqrt(68)*-1)\/sqrt(4))*3.\nAnswer: -63*sqrt(17) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 6:38 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227426 + 2*j**2 + 227426.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - d**2 - 2)*((39 + 8*d - 39)*(1 - 4 - 12) + (d - 2 + 2)*(3 + 0 - 1)).\nAnswer: 118*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14638*h**4 + 9120 wrt h.\nAnswer: 58552*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 92.99, 48\/17, 0.5?\nAnswer: 92.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(2\/109)\/(x\/(x\/(x**2*x)*x))**41*(x\/(x*(x\/(x*x*x**1))\/x*x))**1\/((x\/((x\/x**(-6\/11))\/x*x*x))\/(x*x**(2\/9))) assuming x is positive.\nAnswer: x**(-833810\/10791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1038, 3770, 8206, 14346, 22190, 31738, 42990?\n\"Answer: 852*p**2 + 176*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18392 or -0.0219?\nAnswer: 18392","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1914659 and 432837?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2\/4 + 285*h\/4.\nAnswer: 5*h*(h + 57)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 8*s + 7*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/826964 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*q = -1545, 4*q - 8*q = -2*j + 1030. Does 44 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 0)*(-82)\/2*1. Sort 1, 0, j, 5 in decreasing order.\nAnswer: j, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 2*k - 64. Determine m(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-2\/13)))\/a*a*a**(4\/9))**(-10)*(a**(-8)\/a**(6\/11))\/(a**(-2)\/a**2) assuming a is positive.\nAnswer: a**(-9590\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -l - 3*f + 7, 0 = -5*l - 3*f - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 254297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-92)\/(-6) + 16\/(-12). Let u(m) = 2*m - 25. Let r be u(l). Is (1\/r)\/(4\/56868) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1837 is divided by 485.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/(u*u\/(u\/u**(-3\/5)*u)))*u)\/u*u)\/(u*u**1))**(-30)\/(u**(-4\/29))**(-7\/4) assuming u is positive.\nAnswer: u**(2255\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/14)\/(108\/(-84)). Which is the closest to k? (a) 3 (b) -3 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -687*a**5\/5 + 186*a**3 - 968*a. Find the second derivative of f(g) wrt g.\nAnswer: -16488*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**2*p*p)**4\/(p\/(p*p*p**(-2\/11))*p*p*p*p**(-2\/9)) assuming p is positive.\nAnswer: p**(2182\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22711502 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.0473 + 0.0473. Let u = 1222785.1 - 1222748.099972. Let t = u + y. What is t rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-4)*(-24)\/(-9). Solve 2*x + 12 = -4*k, 0 = v*k + 3*x + 1 + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**8\/40320 - s**7\/2160 - s**6\/540 + s**5\/45 - 13*s**4\/6 - 65*s. Let c(t) be the third derivative of l(t). Solve c(g) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/490392 and 69\/11633188?\nAnswer: 209397384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 4 - 60*t**4 + 108*t**4 + 98*t**4)*(0 + 10 + 1) to the form h*t + u + b*t**3 + i*t**4 + l*t**2 and give u.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12928779*p**2 - 3*p**3 + p**3 - 12928779*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 11) to base 12.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*b - 1 = 1, -3*b = -m + 6. Suppose 0 = p - t, -4*p - t = -m*p. Suppose 3*r + 22 = 2*a, p*a + a + 5*r = 11. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*s - 3*s + s as j + h*s and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/10 - (-77940)\/100. Let b = x - 750. What is b rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45475817437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 103*i**3 - 2*i**2 + 8*i - 15. Let v be c(5). Suppose -14*r = -39*r + v. List the prime factors of r.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 8:49 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*o + 435. What is the tens digit of o*(-3)\/(-18)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 21 = 1. Solve -y*i = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 7*y - 12. Let f(k) = 37*k - 2. Let h be f(y). Suppose -4*j = 3*g - h, 74 = 2*g - 0*g + 3*j. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 627*b + 626*b + 20 = 1258*b, -3*z - 2*z + 3*b = 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 12) in base 15?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.35 - 3885161.\nAnswer: -3885161.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**5\/60 + q**4\/24 + q**3\/6 - q**2. Let m(j) = -5*j**2 + 7*j + 8. What is -m(t) + 6*s(t)?\nAnswer: -t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 1:38 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and -1.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398170 is divided by 405?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*r + 5. Suppose j - 7 = -t, 5*t + r - 27 = 0. Suppose -3*q - 2 - 1 = o, 6 = -j*o. Solve y + 2*y = q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**4\/24 - r**3\/3 - r**2. Let p be n(-4). Solve g - 3 = -p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -13\/2*r + 55\/6*r**3 - 8\/3*r**5 - 5\/6 + 12*r**4 - 67\/6*r**2 = 0.\nAnswer: -1, -1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 4*w**2 - 15*w - 3. Let f be m(-5). Let g = 70 - f. Calculate the highest common divisor of 23 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 70 - 20 = 0. Is 32 a factor of (-36)\/1*16\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = -65*b + 564. Solve -4*q = -b*i + 12, 5*q - 4*i - 13 = -23 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 348 and 1680776.\nAnswer: 146227512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -322*f - 33. Let c(k) = 210*k + 22. What is 7*c(l) + 5*z(l)?\nAnswer: -140*l - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0.3, 1.9, 1\/2, 58?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18051.\nAnswer: 3, 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26 + b6?\nAnswer: dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-8)*((-22788)\/486 + 46))\/7?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -12. Suppose 0 = -9*q + k*q. Which is smaller: q or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139239 is divided by 1600?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2675, -10725, -24143, -42929, -67083, -96605, -131495?\n\"Answer: -2684*s**2 + 2*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r + r**3)*(-4*r - 2*r + 7*r)*(-3 + 3 + 7 - 2*r).\nAnswer: -2*r**5 + 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*x - 61*x + 83160. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 89455367.3 to the nearest one thousand.\nAnswer: 89455000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**7\/1260 - v**4\/12 - 6*v**2. Let k(i) be the second derivative of f(i). Let h(x) = x**2. Determine h(k(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3677, -5871, -8065, -10259?\n\"Answer: -2194*q - 1483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1233 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*p + 12*p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 756 = 609. Let f = 277 - j. Solve -3*m = f*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1815 is divided by 87.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000006434309 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -22. Let z be (-18)\/(-4) + 3\/(-6). What is the nearest to -2 in 1, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/3 + 58*u = 0.\nAnswer: 0, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1196*l**2 + 330 - 1195*l**2 - 66.\nAnswer: l**2 + 264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -331 - -326. Let z(r) be the third derivative of -r**5\/60 - 5*r**4\/24 - r**3\/6 + 3*r**2. Give z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*g = -15. Suppose 4*c = o - 13, -5*o + 2*c + 24 = -o. Put -1, g, o in decreasing order.\nAnswer: o, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276255050 divided by -1.\nAnswer: -276255050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -25. Suppose -9*p = -q*p. Solve -3*u + p - 11 = 2*i, 0 = 2*u + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -85, -186, -297, -424, -573?\n\"Answer: -s**3 + s**2 - 97*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508418000 rounded to the nearest 1000000?\nAnswer: 508000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ereeerreooreeoo. What is prob of sequence orrr?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2095 - -2098. Let y be (21\/5)\/((-1)\/(-5)). Calculate the highest common factor of y and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -158*k**2\/5 + 1892*k\/5 + 48\/5 = 0.\nAnswer: -2\/79, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) -9 (c) -1\/2 (d) -6 (e) 1\/6 (f) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*h - 228 = 80*h. Solve h*a = 21*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.903 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*g + 4\/9*g**2 + 0 - 2\/3*g**3 - 4\/9*g**4 = 0. What is g?\nAnswer: -3\/2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 4, 11, 28, 61, 116, 199, 316?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.3340488 and -892.\nAnswer: -893.3340488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a + 9. Calculate u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -15, -16, -19, -24, -31, -40?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65197125.000285 + -65197263. Let i = 138 + x. Round i to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33936 is divided by 339?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**6\/180 - w**5\/60 + w**4\/12 - w**2. Let o(u) be the second derivative of x(u). What are the prime factors of o(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2533?\nAnswer: 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-16) + (27\/6 - -1). Let p(w) be the first derivative of 1\/6*w**4 + 0*w - 1 + 0*w**2 - 2\/15*w**g + 4\/9*w**3. Find f, given that p(f) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3139.20865 - 3168.21. Let l = k - -29. What is l rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*r + 2*n = 74*r + 43 + 56, 17*r - 3 = -2*n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32283230 a multiple of 2435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/7 + 135330*f\/7 - 1526184075\/7.\nAnswer: -3*(f - 22555)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105136523.\nAnswer: 191, 331, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-9)*(1 + 2). Suppose 4*m = -3 - g. Is m*6*(-22)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100281, -100285, -100289, -100293, -100297?\nAnswer: -100301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3066337*r**6 - 18283897*r**2 wrt r.\nAnswer: 367960440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*n*y + 21669*h*n - 230*n*y - n - 3*y wrt y.\nAnswer: h*n - 230*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.7. Let c = -0.109 + -4.591. Let x = -5 - c. What is the smallest value in o, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1751*c + 1 + 1769*c - 4*c**2 to u*c + n + f*c**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**3))\/(t*t**(3\/5)))**46 assuming t is positive.\nAnswer: t**(322\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -110, -155, -194, -227?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -98535, -101019, -103503?\n\"Answer: -2484*h - 96051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11715467*i*n**3 - 9317113*n**3 wrt i.\nAnswer: -11715467*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5*n = 45, 8*p - n + 57 = -6*n - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1156 (base 7) in base 15?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.1, 2\/17, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -35*z**4 + 80*z**3 + 155*z**2 - 260*z + 60 = 0.\nAnswer: -2, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*t**3*u + 797*t**3 + 2*t**2*u + 10*t**2 - 10629*t*u + 184*u wrt t.\nAnswer: 48*t*u + 4782*t + 4*u + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4055 + -4055. Put 30, h, 4, 2\/13, -0.5 in decreasing order.\nAnswer: 30, 4, 2\/13, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from pddrdrxdrhph.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**19\/((h\/h**(-2))\/h))**(-42) assuming h is positive.\nAnswer: h**(-714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214498317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 751973281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128514122 and 7827?\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29439490*f**3*x**3 + 14009*f**3*x - 3*f**2*x**2 + 11*f**2 + 52*x wrt x?\nAnswer: 176636940*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.32 - 0.32. Put -2\/5, t, 1\/6 in descending order.\nAnswer: t, 1\/6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -44*u**2 - 2*u - 1. Let m be d(-1). Let g be (4 + -2)*-17*(-2 - -3). Let i = g - m. Solve 5*q + 0*r + i = -4*r, -5*q - 3 = -2*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - ((sqrt(175) + 2 + sqrt(175) + 1 + sqrt(175) - sqrt(175)) + sqrt(175))**2)*-6 - (sqrt(77)\/sqrt(176) + 4)*6.\nAnswer: 1017*sqrt(7)\/2 + 9480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c - 5*c**3 + c**3 - 3 + c**3 + 3*c**2 + 9*c.\nAnswer: -3*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*s**4 - 15*s**3 + 1615 - 7*s**2 + 16*s**3 - 1617 to m*s**3 + l*s + o + v*s**2 + b*s**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64911951, -64911947, -64911939, -64911927, -64911911, -64911891, -64911867?\nAnswer: -64911839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 280635.\nAnswer: 1\/56127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135a6d (base 16) to base 10.\nAnswer: -1268333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/10)\/(j\/j**(-7\/5))*((j**(-3)*j)\/j)\/(((j\/(j\/(j*j**(3\/4))))\/j)\/j))**(2\/35) assuming j is positive.\nAnswer: j**(-97\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79121 is divided by 230.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 74, 45, 14, -19?\n\"Answer: -b**2 - 26*b + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (8 + -2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 2*x + 15)*(-x**2 + x**2 + 2*x**3) + 4*x - 2*x**4 - 6*x + 3*x**4.\nAnswer: -3*x**4 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -142 + 284. Let w = -13 + k. Suppose -x = 4*t - 172, -3*t - 5*x = -75 - 54. Calculate the greatest common divisor of t and w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82605, 166383, 250147, 333891, 417609?\nAnswer: 501295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549459 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -1\/8*a**4 - 19*a**2 + 0*a - 23\/60*a**5 + 1\/3*a**3 + 0 + 1\/10*a**6. Factor q(c).\nAnswer: (c - 2)*(3*c + 1)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5693, 5697, 5701, 5705, 5709?\n\"Answer: 4*b + 5689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766060 - 3*d**2 + 2*d**2 + 781349.\nAnswer: -d**2 + 15289","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - b + 54, -2*o + 0*o - 5*b = 19. Let g = -29 - o. Let y(i) = -4*i + 17. Is 6 a factor of y(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 a factor of 111675370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32653.41 + -32668.310295. Let b = -14.9 - n. Round b to five dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.06938 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 11*i**4 - 2*i**3 + 2*i**2 + 2. Let l(h) = h**3 - h**2 + h - 1. Let a(t) = d(t) + 2*l(t). What is the second derivative of a(r) wrt r?\nAnswer: 132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10465334 (base 7) to base 6.\nAnswer: 31235212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -11. Suppose -z*a - 3 = 3. Let x be 1*(a + 1)*-1. Let s(v) = -v**2 - 2*v + 1. Let n(q) = q**2 - q. What is x*s(y) - n(y)?\nAnswer: -2*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 70*o - 93 + 368. Do -54\/11 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -4. Let r = -5\/34 + -6\/17. Which is the closest to 1? (a) -1\/3 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4893700 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (2 - 3) + 9. Suppose 3*a + 0*a = -2*w - 7, 0 = -3*w - 4*a - n. Let y be 1\/(w*(-4)\/60). Solve -y*v = -v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 68\/(30\/(-6) + -6) + 6. Put -2\/7, y, 2, 5 in descending order.\nAnswer: 5, 2, y, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 + 95 - 7*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3134.\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 771\/4? (a) -0.01453 (b) 0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1933*o**6 + 7*o**5 + 6606*o**2?\nAnswer: -231960*o**3 + 420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 + 15\/2. Let q(t) = 35*t - 5. Let g be q(0). What is the units digit of (-1 - g - a) + 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -3 - (2 - (6\/(-3) + 23)) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89038 is divided by 89035.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3)\/c**(-2\/5) assuming c is positive.\nAnswer: c**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (3 + sqrt(153) + -1 + -1*sqrt(153) + -1)*-3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = u, -4 = -u - 2*f - 8. Suppose u = c + 5*s - 335, 5*c - 682 = 3*c - 4*s. What is the remainder when c is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 44 = -4*n - 9, 4*n + 88 = 4*d. Let h = n - -6. Let a(y) = -y**3 - 9*y**2 + 3*y - 4. Is a(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/60 + (-12)\/(-90). Which is the second biggest value? (a) m (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 - -114.81. Let t = 13.99 + u. What is t rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -364653768*l**3 + 3659278*l.\nAnswer: -2187922608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 + 1\/((-4)\/4402). Let a = m - -754. What are the prime factors of (a\/4)\/(4\/(-8))?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 1:18 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 216320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011316197 to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*u + 529*u + 4 = 2*a, 5*a - 17 = -3*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.020659 times -0.02?\nAnswer: 0.08041318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1226*d**4*g**2 - 4*d**2*g + 5991*d*g**2 + 3*d*g wrt d.\nAnswer: -14712*d**2*g**2 - 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.26 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 22*u + 25. Let g be f(-23). Suppose -s + 3*s = 2. Sort g, -3, s in descending order.\nAnswer: g, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, -10, -11, -10, -7, -2, 5?\n\"Answer: t**2 - 6*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 34 = -t, 2*t = 4 - 2. Let c = a - -12. Solve y - c*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-9))\/((-2)\/15). Let k be ((-9)\/15)\/((-1)\/c). Suppose d = 21 - k. Calculate the smallest common multiple of d and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 505 - 1275 = 0. Suppose 0 = v + 3*v - x. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**3\/2 - 17*w**2\/2 + 803*w. Determine l(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d - 528 = -48*d. Calculate the smallest common multiple of 2066 and d.\nAnswer: 22726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = 2*t, 3*c + 4*t = 124. Let n be (-1)\/3 + (-73)\/(-3). Calculate the greatest common factor of c and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(3\/4))\/a*a*a**(-4\/13))**(1\/4))**(-2\/15) assuming a is positive.\nAnswer: a**(1\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 6. Let i(m) = m**2 - 5 + 4 - 6*m**3 + 0*m**2. What is i(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -234512 and -234508 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 72. Suppose -5*q = -12 - 8. Suppose 0 = s + 4*u - 13, -q*s + 0*u + 52 = 3*u. Calculate the remainder when i is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 232478, -6\/5, -184\/7?\nAnswer: 232478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 5*y + 5. Let v(g) = -3*g - 3. Let s(p) = -3*o(p) - 5*v(p). Let s(t) = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 5*s - 70 = 0, -157*s + 63 = 2*n - 162*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**4\/12 - w**2. Suppose 2*q = -3*d + 232, 3*q - d = 289 + 48. Let m(j) = 217*j - q*j - 106*j. Determine f(m(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30058297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 1\/4, -15, 3\/62?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 14. Suppose j = 4*x + 22, 0*x - d*j = x - 5. Suppose 4*r + 8 = -4. Which is the third biggest value? (a) 0.1 (b) r (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + w = -2*w + 121, -74*l = -71*l - 5*w + 4*w + 37 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 5*c**2 - 4*c - 12. Let a be h(-4). Let x be (-1795)\/(-4) + 57\/a + 5. Suppose 5*f - 3*u = 1588, x = 3*f - 3*u - 505. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26302.451 to the nearest 10.\nAnswer: 26300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2219 is divided by 6*((-1)\/(-4))\/(765\/252 + -3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2830285814?\nAnswer: 2, 59, 23985473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5137403 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25730 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041 divided by -1268?\nAnswer: -1041\/1268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - -49. Calculate the remainder when 510 is divided by -7 - (-131)\/2 - 6\/w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5 = 8*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 59064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 + 6*f**2 + 2*f - 1. What is b(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1536.9 + -1537. What is the biggest value in -4\/7, o, 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 f when four letters picked without replacement from {l: 9, f: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -207695*w**6 + 12696*w**2 + 2*w + 2 wrt w?\nAnswer: -24923400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 652*d + 214*d + 432*d + 578*d - 247*d in the form u + w*d and give w.\nAnswer: 1629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**5\/60 - d**4\/24 + d**2. Let f be x(-1). Suppose 4*v + 1 = 21, f = 2*j + 4*v - 28. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 83 = 73 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 587\/804 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2375 and -11\/2888.\nAnswer: 361000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 2380 = 910. Calculate the smallest common multiple of 231 and p.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -44. Let r(p) = p - 13. Let l be r(17). What is the second derivative of l*b**2 - 17*b**q - 17*b**2 - 19*b wrt b?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 141*k + 3170. Determine o(-29).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7660*d - 479. Is p(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (-5 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 186230, 182026, 175018, 165206, 152590?\n\"Answer: -1402*p**2 + 2*p + 187630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 3\/34207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 + 131. Suppose 3*l - l - i = 0. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q + 6 = 0, -1 = 5*c - 3*q. Let s(x) = -2*x**2 + 47*x - 20. Let n be s(23). Solve 4*z = n*z - c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 3\/4, 0.3, 3, 1898\/29 in decreasing order.\nAnswer: 1898\/29, 3, 3\/4, 0.3, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 91888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.2, -18027, -1\/122, -4?\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35266777 and 7833?\nAnswer: 2611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2555865 is divided by 119?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-7))\/(b\/b**(4\/11)*b))\/(b**(2\/5)\/(b**(4\/9)\/b))*(b\/(b*b**1*b))**(-7)*b**4\/(b*b**(-2)) assuming b is positive.\nAnswer: b**(12082\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -126\/5, -5, 0.5, -71?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4183.9 - 4190.9. Put -2\/3, a, -13, 0.2, 0.3 in decreasing order.\nAnswer: 0.3, 0.2, -2\/3, a, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 275827.9l?\nAnswer: 275827900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.91 + -2.81. Let s = g + -46.1. Which is the smallest value? (a) s (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -536 + 566. Let y be 260\/p + -6 + 5. Find s, given that 8\/3*s + y*s**2 - 1\/3*s**5 - 7\/3*s**4 - 7\/3*s**3 - 16\/3 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -936 by 104.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = k + 534491, 2*k + 820400 + 248585 = -5*v. Let i be 2*23\/((-230)\/k). Round i to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/17*1*((-336)\/18)\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 57. Suppose -5*d = -c - 1. Sort -3, -4, d.\nAnswer: -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -p + 1. Let n be (p\/12*6)\/(-1). Find the second derivative of o - 65*o**4 + 66*o**n - 6*o + 2*o wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuj when four letters picked without replacement from juhhuhhjjjhjuujjh.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.79604 - -22.8. What is g rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 66?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 936?\nAnswer: -1310.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 5*w**2 - 5*w. Let l be (-3 - 0) + 4\/8*-2. Let h be s(l). Solve -2*r + r = -h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10918561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 9:09 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8627488.\nAnswer: 2, 359, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 848540 and 560.\nAnswer: 3394160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -250 - -178. What is the common denominator of 1 + 482\/j + 2 and 79\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3867 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z = -32*z - 1560. Let s be (8\/z)\/(2\/(-20)). Let d = s - -6\/65. Sort d, 2, 0, -3 in ascending order.\nAnswer: -3, 0, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 9:25 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 211*l**2 + 26 - 23*l**2.\nAnswer: -234*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from zrkmwbb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 2*i**3\/3 + i**2\/2 + 20. Suppose -2*x - 128 = 4*l, 0*l - 5*x = l + 23. Let r = l + 32. Determine g(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -1\/2*y**3 - 1\/4*y**4 + 0*y**2 + 2*y - 6. Let d(v) be the first derivative of t(v). Determine z so that d(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 + -102. Solve 2*t - 2*z = -18, 0 = -0*z + y*z - 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 954467041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19796, 4, 10, 13 in decreasing order.\nAnswer: 19796, 13, 10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*g = -8*g - 668, -g + 394 = 3*f. Let k = f + -40. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(4 + (-14 - (3 + -10))). Let m(j) = 5*j**2 - 8*j + 9. Let u(z) = 7*z**2 - 12*z + 14. Give n*u(x) - 8*m(x).\nAnswer: -5*x**2 + 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -2.277886?\nAnswer: -11.38943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/(-5)*(0 - 20). Let l = -48 - q. Let o = l - 44. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 2:07 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, 1308, 4, -45, -2 in ascending order.\nAnswer: -45, -7, -2, 1, 4, 1308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 30327 - 29041 - 3844*l + 3851*l as s + v*l and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -22. Suppose -3*f + 7*i = 4*i - 9, 0 = -2*f + 5*i + 6. Suppose 4*v = -m + 8, 5*m - f*v + 6*v = 6. Solve -3*r - g - 12 = m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 25858.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*y - 5, 2*l = 3*y + 1 - 0. Let r = 15 + -23. Let z be r\/6*6\/124. Is z at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -12*u - 9. Calculate the remainder when k(-5) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 16) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -439248 divided by -6\nAnswer: 73208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**4 + 3051*c**3 - 547 wrt c?\nAnswer: -4*c**3 + 9153*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281031143 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31350, -30597, -29844, -29091, -28338?\nAnswer: -27585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*q**2 - q**2 - 4*q**4 + 7*q**2 in the form b*q + a*q**4 + c*q**2 + r + f*q**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1174636 (base 8) in base 2?\nAnswer: -1001111100110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-6)\/(-120)*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-9 - (-8 + 0)) - 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9486, 20035, 30620, 41241, 51898?\n\"Answer: 18*f**2 + 10495*f - 1027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -34. Solve -t*f = -5*f - 2*q - 11, -f = -2*q - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 8:28 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3)*(-8)\/48*6. Let v be (0 + (-8)\/(-10))\/(-1). Let m = -3.1 + 3.2. What is the nearest to m in -3, u, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 125*o - 68*o + 738 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 12*q - 112. Let y be h(18). Let x = 17 - 24. Let l = x - -5. What is the third smallest value in -5\/4, y, l?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-3\/7))\/(g*g*g**(3\/13)\/g))\/(g**7*g**(-2\/37)) assuming g is positive.\nAnswer: g**(-22721\/3367)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**3 + 2669 - 6*p**3 - 5*p**2 + 2*p**3 - 7*p - 2660. Let t = -1 + 7. Let m be y(t). Is -0.5 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (7 + -17)) + (3 - 5) - (-1 + -44).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -217*o**3\/6 - 31*o**2\/2 - 101*o. Differentiate m(b) wrt b.\nAnswer: -217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4196010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564256*v**2 + 1128377*v**2 - 564122*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 - 93*o + 11. What is the tens digit of j(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 299 and 99983.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.44 - 0.6. Let g = b - -0.46. Sort g, 3, 0 in increasing order.\nAnswer: 0, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 295*q. Let p(l) = 2*l**2 + 2*l - 1. Let n(k) = -12*k**2 - 18*k + 9. Let g(d) = -2*n(d) - 18*p(d). What is o(g(h))?\nAnswer: -3540*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5858092.999028 + -5857646. Let j = -447 + s. Round j to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.1, -7, -3, 3, -5, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 811364597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3021846*m**4 + 2*m + 4598198.\nAnswer: -12087384*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*u + 6 = 0, 12*n - 16*n = -u - 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 979011078 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -20. Let c = 3 - d. Let u be (5\/c)\/(4\/6). What is the biggest value in u, 1, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562 = 7*k + 492. Let v(u) = -4*u**2 + 5424 - 5424 + k*u**2. Let p(x) = 48*x**2. Give v(p(l)).\nAnswer: 13824*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 40 = 5*l. Suppose -5*s + l = -12. Let h be (-2)\/(-4)*(3 + 1). Which is the nearest to -0.1? (a) 2\/13 (b) s (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 6464?\nAnswer: 6464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57, 187, 403, 705, 1093, 1567, 2127?\n\"Answer: 43*y**2 + y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x + 4. Suppose -4*b - 5 = 5*u, -3*u + 8*b = 4*b + 35. Give w(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {z: 1, x: 1, n: 2, y: 1, j: 1, u: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 80. Suppose 4428 = i*d - 7*d. Suppose t = -t - 4*s + 422, 5*t - 3*s = d. List the prime factors of t.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1482 and -91\/10?\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 13*t**3 + 6*t**2 - 15*t + 10. What is the remainder when s(4) is divided by 75?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 3, 2494, 5, 1 in decreasing order.\nAnswer: 2494, 31, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(85) + sqrt(85))*1*-4)\/(sqrt(50)\/(-3*3*sqrt(10))))**2*-5.\nAnswer: -2754000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*d - 0. Let f(p) be the second derivative of -p**5\/10 + p**4\/12 + p**3\/3 + p**2\/2 - p. Is f(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - q**2 + q**2 + (3*q**2 - 3*q**2 - 2*q**2)*(-5 - 1 + 3) - q**2 - q**2 + 0*q**2 + q**2 - 272*q + q**2 + 319*q + (2*q - 2*q - 2*q)*(-2*q + 4 - 4).\nAnswer: 12*q**2 + 47*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14.9+-19754640189\nAnswer: -19754640174.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*t**5 - 235*t + 235*t + (t**4 + t**3 - t**3)*(4*t - t - 2*t) + (4*t**4 + 4*t**2 - 3*t**4 + 0*t**2)*(-2*t + 20 - 20).\nAnswer: -41*t**5 - 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 15*k**2 - 57*k - 916. What is the remainder when 242 is divided by r(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2952 and 1763.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npqufqnp. Give prob of picking 1 p, 1 q, and 1 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwhhwwwhhww. Give prob of sequence hhh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/20 + (-3)\/(-2). Which is smaller: b or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13035\/(-99))\/79*(-8)\/1240.\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h + 42. Suppose 0 = -10*j - 80 + 10. Let u be p(j). Solve u*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -419, -632, -847?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 1 + 1)*(c**3 - c**3 - 3*c**3).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5799 is divided by 145.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 899910 and 572.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/91 and 59\/39.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 68992570 divided by 24379?\nAnswer: 2830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -709977 (base 10) to base 11\nAnswer: -445464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 - 0.9. Let n be -3*8\/60 - (-11 + 3736\/360). Which is the second biggest value? (a) f (b) n (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine fifths of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 10*u + 11. Let o be c(9). Suppose o*s - 532 = -1714. Let i be s\/(-12) + (-1)\/4. Calculate the greatest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akj when three letters picked without replacement from {h: 3, k: 2, j: 3, t: 7, a: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**3 + 8*t**2 - 13*t + 5. Give s(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619151 a multiple of 1829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*y**2 - 17 + 17 - 16*y**6 + 0 wrt y?\nAnswer: -1920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342*p + 19488 = -336*p. What are the prime factors of p?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 14*j + 21. What is the tens digit of s(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t - 4. List the prime factors of o(-7).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 72*m**2 - 109*m + 2694. Give f(73).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 112*x**3 + 148*x**2 + 48*x = 0.\nAnswer: -3\/4, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*l - 226*l = 6. Suppose 3*n - 185 + 41 = 0. Calculate the least common multiple of n and (3 + -5)*((3 - 8) + l).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19428917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*l**3 + 47*l**3 - 28*l**3.\nAnswer: 281*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - l**2)*(-2 - 6 + 3) - 3*l**2 - l**2 + 6*l**2 + 7*l + 65 - 65 + l**2.\nAnswer: 8*l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -717109349 + 313296976 - 616427627 = -144*r. Round r to the nearest 100000.\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = l. Let n be ((-13)\/13)\/((-2)\/8). Let j(h) = -l*h + n*h - h. Let r(o) = -3*o. Determine r(j(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 107479877 or 107479874?\nAnswer: 107479877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/70)\/(231\/(-98) + 2). Which is the third biggest value? (a) o (b) -7 (c) 0 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -3 - (-1 + -2) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) - 253\/(-5). Suppose -4*w = -2*r - 233 + 35, 2*r = w - t. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11951763 and 1758.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -62\/5 (b) 0.5 (c) -13 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 - (-2 + (6 - 3)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208965308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -1454113361?\nAnswer: 1454113366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50711 and 646?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 0*p**3 - 3*p**2 + 2*p + p**3 - 7 + 3. Let c be v(3). What is the smallest common multiple of 1 and (33\/(-6))\/(c\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g + 1 = 30. Solve -4*w + 9 = g, -l + 13 = 5*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14906 is divided by 363?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 5 in descending order.\nAnswer: 7, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*(-37)\/74?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d**3 - d**2 - 7*d - 3. Let r(b) = -2*b**3 + b**2 - b. Let o(z) = g(z) - 4*r(z). Give o(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 20. What is the remainder when 17 - 2\/(1*2) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4869 and 1.\nAnswer: 4870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-14) - 15\/21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1949 is divided by 383?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2890 divided by 8935?\nAnswer: 578\/1787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13638 by 209.\nAnswer: -13638\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3002539 or -39033008\/13?\nAnswer: -3002539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/9)\/(1*9\/((-162)\/(-12))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -16*t**2 + 7*t + 6. What is n(3)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - 10. Suppose 0 = 3*y + 3, 5*y = -2*l - 0*l + 33. Suppose 15*f + 4 = l*f. Sort q, -1, f.\nAnswer: q, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/190*1\/(-2))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2. Let a(l) be the first derivative of 3*l**2\/2 - 10. Give y(a(s)).\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mee when three letters picked without replacement from mexmmmeemmmmmmm?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 328625*m**4 - 10*m**3 + 6249160 wrt m?\nAnswer: 1314500*m**3 - 30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -202101000 (base 4) in base 5?\nAnswer: -13442402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3\/7 (b) -0.7 (c) 56 (d) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 5243185 in descending order.\nAnswer: 5243185, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 6*n + 1. Let k be f(6). Let h = -0.11 + 4.11. Let q be (-1 - 1) + 76\/40. Which is the closest to k? (a) q (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 + (9 - 9 - (-17 - -30 - 23))\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 64.8 (c) 4 (d) -2.1 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 4*d**2 + d - 2. Let n be g(-2). Suppose -n*p - 160 = -60. What is the units digit of p*1*(-2 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164983 divided by 38\nAnswer: -164983\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*r = 21880, 4*g = 5*r + 8370 + 9116. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13025 - 200?\nAnswer: 12925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 7018, 0.79?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5248428599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 51 = 3*b, 0 = 6*b - 8*b - 3*y + 34. What is the remainder when 99 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 26 = -14. Let m = 9 - b. Let n(i) = -5*i**2 - i. Give n(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(66) + -2*(sqrt(66) - (sqrt(66)*1 + sqrt(66)))))\/(sqrt(600)*1*6))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 76*n = -810 - 576. Let m(y) = -3*y - 3. Let k be m(-9). Let t = k - n. Solve 0 = -t*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*y + 1474827704 = 1400898892 - 3364311188. Round y to the nearest one million.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 5*i - 3*s + 57, -i = -s - 46. Calculate the highest common factor of 21 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205.6299um to kilometers.\nAnswer: 0.0000002056299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/((-4800)\/(-72))*8\/105.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 95405998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 9 = 5*w - 3*m, 2*m = 2*w - 2. Find the third derivative of -9*o**4 + 0 - 2*o**2 + 38*o**w + 0 wrt o.\nAnswer: -216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m + 675617*m**3 + 36*m - 675618*m**3.\nAnswer: -m**3 + 57*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b - 10 = -39*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1. Let z(v) = v**2 + 11*v + 9. Let o(t) = 2*n(t) - z(t). Let y(l) = 4 - 5 - 1 - 2*l. What is 2*o(w) - 11*y(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/sqrt(729))\/(1*sqrt(72))*-6 + 1.\nAnswer: -2*sqrt(7)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000188 to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 + 735656*u\/3 - 735662.\nAnswer: 2*(u - 3)*(u + 367831)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 13, 64, 169, 346, 613?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79754495?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -17. Let o = h - 6. Find the first derivative of 2 - 2*p + o*p + 2*p wrt p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 5*v - 16. Let z(j) = -j**2 + j**3 + 5*j - 2*j**2 + 12*j**2 - 4. Let m be z(v). What is the highest common factor of 30 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1313 + 1991. Let h = -624 + d. What is the remainder when 255 is divided by h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 5:53 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1219 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 146, 594, 1352, 2426, 3822?\n\"Answer: i**3 + 149*i**2 - 6*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 566565 (base 7) to base 12\nAnswer: 4a3b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353538687 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/5 - (-6)\/(-10). Suppose 12 + 8 = n*w. Solve w*h + 3 + 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/56)\/(-1*14\/(-49)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 1) + (-16 - (-7 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -18*u**3 + 101*u**2 - 8*u + 12. Let k(s) = 29*s**3 - 152*s**2 + 12*s - 19. Give 8*j(n) + 5*k(n).\nAnswer: n**3 + 48*n**2 - 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19)\/((-190)\/269620) - -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -3 + 3 - l**2 + 0*l**2 - 5. Let q(i) = -2*i. Calculate v(q(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1806 divided by -903?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + v - 1. Let g(z) be the third derivative of z**4\/12 - z**3\/3 + 2*z**2 - 14*z. Determine -5*g(l) + 10*o(l).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 10 - (-1 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -165 * 0.1485\nAnswer: -24.5025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + 14?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2538 - g - 2538. Let w(b) = -2*b - 3. Calculate 4*h(i) - w(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = 2*k + 174, 0 = -k + 42*t - 39*t + 39. Suppose 0 = -z - n - 4*n + 35, 0 = 2*z + 4*n - 64. Solve z*v = 27*v - k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 8*w - 23. Let c be o(6). Let r = c - -9. Let k(s) = -321*s - 11. Is k(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 16*g**3 - 5*g - 5. Let m(s) = 12*s - 137. Let d be m(11). Let n(a) = 8*a + 7 - 1 + 2 - 24*a**3. What is d*n(t) - 8*v(t)?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 20, -5*r - 5*q = 6 - 21. Suppose -r*f + 50 = 3*f. Suppose f*j - j - 2 = 2*s, -3*j = -5*s + 16. Solve j = x - 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*a = 264*a - 36*a + 318*a - 22185 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/2*3\/2. Suppose 0 = -b - x + 18, 0*x - a*x + 15 = 0. Solve -4*i = -7 - b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 7810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6827767*s**2 - 7036813.\nAnswer: 13655534*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 0 + 0*h**4 + 4\/3*h**3 + 3*h**2 + 0*h + 1\/20*h**5. What is the derivative of v(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (11 - 0)) + -10 + (57 - 41) - 66.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - -28. Let l = d - 48. Is l greater than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**4 + 41 - 4*j**4 - 25*j**2 - 39 + 4*j**4 + 4*j**3 - 2*j**4 in the form r*j + g*j**4 + d*j**3 + a + b*j**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55.266 + 55.53. What is x rounded to 3 decimal places?\nAnswer: 0.264","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*y - y. Let z be (2\/y)\/((-6)\/(-27)). Suppose -k - 14 = -5*i, k = -z*i + i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24780, 99113, 223000, 396441, 619436, 891985, 1214088?\nAnswer: 1585745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(0 + sqrt(300)) - -1*sqrt(300)*2)**2 + -2*sqrt(300)*3*4.\nAnswer: -240*sqrt(3) + 7498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 154. Let h(p) = -62*p**2. Calculate j(h(d)).\nAnswer: 124*d**2 + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6956884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2410\/34 - 84\/(-714) is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(380\/(-120))\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-728)*13*(1 - -1). Which is the fourth smallest value? (a) -1 (b) 3\/5 (c) -160 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17) + -3 - (sqrt(425) + -5)) + -3.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, q: 7}. Give prob of picking 2 d and 1 q.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**4\/12 - 37*h**3\/3 + 499*h**2 + 517*h. What is the derivative of z(i) wrt i?\nAnswer: -2*i - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -20)*5\/20. Solve -d = -t*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y. Let o(j) be the second derivative of 127*j**4\/6 + 79*j. Give o(r(b)).\nAnswer: 254*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8661 divide 4090512351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + ((sqrt(432) + 0)*5 - (4 + -1 + sqrt(432)))))**2.\nAnswer: 3072*sqrt(3) + 110656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*g + 12, 4*q + 4*g = 1544. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -54. Suppose -2*l - 15 = -u. Let c be 30\/(-8) - 3\/12. Sort c, 0, l in decreasing order.\nAnswer: 0, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000067900151 to 7 dps.\nAnswer: -0.0000679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Let y(v) = -v**2 + 7*v + 64. Let u be y(12). Solve 0 = -4*i - d - 2 - 7, u = -3*i + p*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.106 + -0.15. Round x to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1173\/6 - -2 - (-3)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (76230\/20)\/(-33)*4\/(-22)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2903531?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*g - 1634 + 2954 = -12*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2245 - -2247. Solve 0 = k - 5*r + 4, 3*k + 5*r = u*r + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1253491334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 3 + 0*s + 0*s**2 + 5\/3*s**3. Let j(p) = 472*p - 159*p - 164*p - 150*p. Give q(j(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13335576 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 3:09 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.74478ml?\nAnswer: 0.00074478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/10*(-8)\/3. Let x(q) = -2*q + 4. Let u(w) = 2*w - 5. Let t(p) = p - 1. Let y be t(7). Let i = y + -1. Calculate i*x(h) + j*u(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2130 (base 4) in base 11?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d**2\/15 + 1612*d\/15 + 608\/5 = 0. Calculate d.\nAnswer: -114, -8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sclkk. Give prob of sequence lc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9))\/(((-400)\/3520)\/((-3)\/(-8)))\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717991445.\nAnswer: 5, 11117, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*p**4 - 24\/5*p**3 + 26\/5*p**2 + 0*p + 0.\nAnswer: -2*p**2*(p - 1)*(p + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*a + 32 - 12 = 0, 2*m - 2*a = 4. Suppose 5*w = -p + 35 - 12, -3*p - 2*w = -82. What are the prime factors of (24\/p)\/(m\/(-14))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 141, 223, 307, 393, 481?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*p = -118 - 206 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 + 0*v**2 + 72 + 2*v**2 - 2*v + v**2 - 4*v**2 + 2*v**2 - 3*v**2 - 3*v**2 + 5*v**2 + (-v + 4*v - 2*v)*(v + 7*v + 23*v) as f*v + m*v**2 + z and give m.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = -2. Is 645\/10*(-2)\/k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wggxxxxwwxjxxywwu. Give prob of sequence gxgy.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 21*f - 2346 = 19*f, -3*w - 2*f = -1760. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 927*v**6\/40 - v**5\/30 - 117*v**4\/8 - 197*v**2 - 9*v. What is the third derivative of j(a) wrt a?\nAnswer: 16686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 l when three letters picked without replacement from {l: 7, b: 1, u: 1, j: 5, e: 5}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5634000 to the nearest 100000.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 6*r**2 + 5*r + 32. Let s be o(-6). Suppose 0*l - l + 43 = -4*y, s*l - 5*y = 74. What is the least common multiple of 4 and l?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + (-10)\/4*-80?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1296 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8646*j**2 - 8675*j**2 + 17309*j**2.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3. Let s be c(1). Let k(y) = y**2 + 17*y + 62. Let a be k(-6). Is 86 + a + 14\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.4. Let i = 1.5 - 2. Let s = -11\/42 - 26\/21. Which is the smallest value? (a) z (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 10:06 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -10 - -3 - -15\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 9*i + 7. Let y be d(9). Let m = -3 + y. What is the smallest common multiple of m and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 3. Let l = o + 7.14. Let q = l - 0.1. What is q rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - 4*o = 8, -11 = -3*t - 2*o. Let b be (5*(-54)\/24)\/(t\/(-8)). Let k = b + -32. What is the third smallest value in k, 0.6, 0.3, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50290 is divided by 1676.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622566 is divided by 15564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + (-8)\/12)*42. Let t = -26 - g. Let q = 0 + t. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x + 9*x - x**2)*(-7091 + 4067 + 3889)*(2 - 2 - x).\nAnswer: 865*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = 3*q. Let l = -2.03635 - -0.03635. What is the nearest to l in -6, -1\/4, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -32 + 41. Solve -2 = 5*i - 2*a, -a - 1 = -3*i - q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -4*l - 2*a, -5*l + 311*a - 100 = 307*a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nynnnynnnnyn?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 782034*u**6 - u**4 + 1193*u**2 + 5*u - 4.\nAnswer: 93844080*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (0 + -3 - 1)) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 50 = j + 33, -40*j + 35*j = -u - 37 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 - (-20)\/12. What is the third derivative of 3*t**2 - 2*t**2 - 2*t**m + 2*t**3 wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -350*h**4 - 36*h - 1.\nAnswer: -4200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -224\/15 (b) -4 (c) 0 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + (-7 - -15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -107387, -213444, -319505, -425570, -531639, -637712?\n\"Answer: -2*z**2 - 106051*z - 1334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5790.328 rounded to the nearest 10?\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19683\/722930 - -17\/670. Is 1 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -61*g**3 + 8*g**2 + 8. Let z(x) = -20*x**3 + 3*x**2 + 3. Calculate 3*i(r) - 8*z(r).\nAnswer: -23*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 0.7 (c) -5 (d) -210\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202201 - -3?\nAnswer: 202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-402)\/(-9) - 2\/3. Suppose 0 = 3*p - 16 - t. Let c = -121 + 129. Calculate the greatest common divisor of c and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24133 from -234.\nAnswer: -24367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 796 and 18.\nAnswer: 7164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 14) in base 12?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4))\/((-5)\/(-20)) - (-2508)\/630\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 49\/13 (b) -5.7 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 + 10\/(-6). Let j = -0.05 + -0.25. Which is the second smallest value? (a) 0.1 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*d**2*q**4 - d**2 + 1120*d*q**4 - 10701 wrt q.\nAnswer: 48*d**2*q**3 + 4480*d*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 5950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, m: 3, f: 3}. Give prob of sequence fmr.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 8:21 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12120 (base 3) to base 13.\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsz when three letters picked without replacement from {s: 1, z: 1, x: 1, q: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1534 divided by -767.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 - 52*n + 52. Let y be f(-27). Sort 4, y, -5 in decreasing order.\nAnswer: 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5.447135, -1 in decreasing order.\nAnswer: 0, -1, -5.447135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112652 + 35823193\/318. Calculate the common denominator of 85\/66 and b.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, k: 2, w: 10, z: 1}. What is prob of picking 4 w?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: a408 (base 11) to base 8\nAnswer: 32752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -18. Solve s*q + 17 = -3*n, 5*q = n + n + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u. Let n(p) = 16931*p**2 - 2*p. Determine i(n(f)).\nAnswer: 16931*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -18552*x - 29. Let h(j) = -4*j**2. Calculate q(h(g)).\nAnswer: 74208*g**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(567) + sqrt(567) + 0 + sqrt(567) - (sqrt(175) - sqrt(175)*1 - sqrt(7))).\nAnswer: -5 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p**(-12)\/p)\/p)**9)**26 assuming p is positive.\nAnswer: p**(-2808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11220 - 3493. Calculate the remainder when r is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 39. Suppose -5*k + 22 = 3*h, 0*h + 2*h + x = 4*k. Put -5, -6, -2, k in descending order.\nAnswer: k, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1052 + 1051.5. Let k = 17.38 + -17. Let n = k + -0.08. Sort n, c, 0.4 in ascending order.\nAnswer: c, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 2. Let g be w(0). Does 9 divide (g*40)\/(-4) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**3\/15 - 15*x**2\/2 + 154*x\/5 + 1539. Find g, given that j(g) = 0.\nAnswer: -77, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2. Let h(y) = -390203*y + 9367. Let m(k) = -3613*k + 87. Let j(r) = -6*h(r) + 646*m(r). Determine j(f(n)).\nAnswer: 14440*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z**3 - 2*z)*((-1 + 1 - 1)*(-1 + 4 - 2) + 2 + 2 - 5 + 2 + 4 - 1)*(2*z + z - 2*z).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-123)\/(-492))\/((-2)\/4)*44\/4.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21464, 21493, 21538, 21605, 21700, 21829, 21998, 22213?\n\"Answer: u**3 + 2*u**2 + 16*u + 21445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z**2 - 3*z + 5. Let k be y(-4). Suppose 2*p = -5*s - p - 579, 2*p - 4 = 0. Let w be 8\/s + 22\/k. Is 0 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -4 + 3 - (-5 + 4). Suppose 4*o = 5*j + 43, 0*j = 3*o + p*j - 39. Let c(w) = o*w - 18*w + 19*w**2 + 6*w. Let k(r) = r**2. What is k(c(g))?\nAnswer: 361*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 18 = -15*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 574711679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 967, 495 in increasing order.\nAnswer: -5, -1, 495, 967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/15206706 and 145\/5068902?\nAnswer: 15206706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-124)\/(-24) - 3 - (-4)\/(-2). Let f(x) be the first derivative of 1\/8*x**4 + 0*x**2 + 0*x - 2 + o*x**3. Factor f(j).\nAnswer: j**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 7*w + 2. Let b be i(7). Let j be (b - 0 - 1)*19. Let u = -13 + j. Which is smaller: u or 7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11253210 and 97854.\nAnswer: 11253210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1. Let f(g) = -g**2 - 87. Determine -f(d) + 3*o(d).\nAnswer: d**2 + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 926710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628\/132 + (-65660)\/5292?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -25*p. Solve p = 11*z - 1 - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 370*b**3 - 6*b**2 - 168*b**3 - 48*b - 200*b**3 + 160.\nAnswer: 2*(b - 4)**2*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -955 - -10.408.\nAnswer: -944.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043245 minus 5?\nAnswer: -4.956755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242 = 24*c + 2*m, 4*m + 54 - 18 = 4*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 - 45 = y. Suppose -8 = -t + y. Let o(w) = 91*w + w**2 - t*w. Let m(g) = 8*g. Calculate o(m(k)).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018558 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 q(l) = 719996*l - 24. Let z be q(-6). What is z rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 386*v - 27. Let y(u) = -129*u + 8. Give 7*y(w) + 2*z(w).\nAnswer: -131*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.833 + 40.653. Let d = p - 0.22. Let o = d - 30. Round o to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 5:25 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2940 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-1494))\/(2\/(-3)). Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 13702 and 27401\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12696 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(4) - sqrt(15))\/sqrt(5) - (0 + sqrt(27) - sqrt(3))**2) + (2*1*sqrt(363) - (sqrt(363) + -5 + sqrt(363)*-2))**2 + -5.\nAnswer: 330*sqrt(3) + 3275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n - 3*n**2 + 51 + 52 - 101 as h + b*n + s*n**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - q. Let v(m) be the second derivative of -5*m + 0*m**4 + q*m**3 + 0*m**5 + 0*m**2 + 1\/14*m**7 - 1\/5*m**6 + 0. Determine c so that v(c) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49716?\nAnswer: 2, 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 2*p - 2, 0 = 4*p + 4*v - 3*v + 16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Suppose -8*c = -3*c. Let b(r) be the third derivative of 0*r**3 + 0 - 1\/20*r**5 - r**2 + 0*r + c*r**4. Calculate o(b(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10203, -20488, -30773, -41058?\n\"Answer: -10285*z + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8598086?\nAnswer: 2, 7, 47, 73, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51345 is divided by 311.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -114.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-70))\/(-5*3\/(-30))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-14)*546\/(-156)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.728349 rounded to 2 decimal places?\nAnswer: 121.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 5*x**2 - 3*x - 12. Let c = -73 + 68. Let g be t(c). Suppose 5*j = g*y + 3 + 4, j + 3*y - 5 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 19*v**2 + 8*v - 9. Let k(c) = 5*c - 9. Let d be k(0). Let r be g(d). Put 4, r, -11, 3 in ascending order.\nAnswer: -11, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1698732 and 708?\nAnswer: 100225188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b + 14. Let s = 937 + -898. What is the remainder when s is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1\/160014370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/6 (b) 3 (c) -2\/5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 8 - (-14 - 2) - 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 323*j + 1040. Let h(c) = -c**3 - 6*c**2 - 5*c + 1. Calculate the remainder when l(-3) is divided by h(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3214705 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/7 - 26122*l\/7 - 78348\/7 = 0 for l.\nAnswer: -13058, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.64 - 0.36. Let p = 0.5 - 0.5. What is the nearest to -0.04 in p, k, 2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-14))\/(1\/(-14)). Let d be (-348)\/22 - ((-84)\/(-66))\/7. Is p\/d - (-494)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 640*t**2 - 700*t + 27. Let q(g) = -160*g**2 + 175*g - 6. Let w(i) = -2*l(i) - 9*q(i). Find the second derivative of w(k) wrt k.\nAnswer: 320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 432 + 12*d**2 - 2*d**3 + 8*d**2 - 21*d**2 + 0*d**3 as f*d + y*d**2 + r*d**3 + x and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -18 + 39 + (-3 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7764966 (base 10) to base 16.\nAnswer: -767be6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 2*b**3 + b**2 - 4. Let j be g(2). Calculate the greatest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 3*l + 1. Suppose 0 = 106*v - 162*v - 112. Give h(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 678636.77 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8128370 and 82770.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s - 36924 = -30*s. Let c = s + -980. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, z: 2, y: 1, p: 4, e: 2, g: 1}. What is prob of sequence ep?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -19. Let b be -3*(s - 4) + -17. What is the units digit of b\/(-15)*15 - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5640998*-0.5\nAnswer: 0.7820499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 5356742.7574\nAnswer: -5356739.7574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 2*c**6\/45 + 8*c**4\/3 + 19*c**3\/3 - 48*c. Let s(k) be the second derivative of v(k). Differentiate s(a) with respect to a.\nAnswer: 32*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043390 to the power of 1\/2, to the nearest integer?\nAnswer: 1745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.7 or 0.450335?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*h - 14 + 111, -4*h = 2*s - 196. Let t = s - 40. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1098.\nAnswer: -1\/1098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3422, 6861, 10308, 13763, 17226, 20697, 24176?\n\"Answer: 4*q**2 + 3427*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) - (-4)\/(-6). Suppose p = -3*u + 2*u - 3*t - 10, -t = 4*u - 15. Suppose u*c = 2*c + 21. What is the smallest common multiple of c and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-5)\/((-10)\/(-2)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/(-2)*2\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v**3 + 76*v**3 + 85*v**3 + 124*v**3.\nAnswer: 269*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-94)\/(-47))\/(3\/3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0098400592 to 4 dps.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v\/v**0*v)\/v)\/(v\/(v\/((v*v*v\/(v\/v**(-1))*v*v)\/v))))**(-9))**27 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24786063 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 34 = 5*z, -3*u + 0*u = 4*z - 18. Let v(d) = -5*d - 3. Let p be v(-2). Suppose 2*b - 3*b + p = 0. What is the lowest common multiple of b and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 1044067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1. Let p(n) = -n**3 + 14*n**2 + 22*n + 4. Let m(q) = 6*g(q) + p(q). Let o be m(16). Let j = 115 + o. Which is greater: j or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46133?\nAnswer: 46133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 12:28 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/49315 or -3?\nAnswer: -1\/49315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31, 21, -11, -77, -189, -359?\n\"Answer: -2*h**3 + h**2 + h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11680234?\nAnswer: 2, 37, 157841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -9*m**5\/100 - m**4\/5 + m**3\/10 + 3*m**2\/5 - 5*m. Factor t(g).\nAnswer: -3*(g + 1)**2*(3*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7814224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/787 + 29152\/8657. Let j = -556\/11 - -46. Find the common denominator of s and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {e: 3, t: 1, p: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3762 and 60650622.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -22*l**3 + 7*l**2 - 7*l - 14*l**3 - 23*l**3 + 48*l**3 - 1 + 8 + 10*l**3. Let u be 3\/(3\/5) - 0. Give o(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-54)*-15)\/(210\/(-252)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 12*q**2 - 40*q - 520. Let w be z(-7). Let p(d) = -26*d + 92. Determine p(w).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 666\/54 - (-4)\/(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c*p*w - c*p - 231*c - 4*p*w - 2*p - 4*w + 1543 wrt c.\nAnswer: -8*p*w - p - 231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(272) + (0 + sqrt(272) - sqrt(272))*-1 + -6*(sqrt(272) + sqrt(272)*1) + 1 + -2 + 4)**2*-6.\nAnswer: -197478 - 528*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -153, 1, -4 in increasing order.\nAnswer: -153, -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -19245, 42, -2 in increasing order.\nAnswer: -19245, -4, -2, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91.5 + 56. Let i = 52.6 + n. Let x = i - 17. Sort 5, x, -3 in decreasing order.\nAnswer: 5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 3*o + 7*v + 39, 2*v + 3*v - 5 = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/26 + (-56)\/(-52). Put j, 0, 5 in increasing order.\nAnswer: 0, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29127 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*d + 21*d - 58*d + 12*d + 4800*d**2 + 12*d to u + w*d**2 + f*d and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3 + 572*u**2 + 34368*u + 440064 = 0. What is u?\nAnswer: -24, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/8, 0.177817, -1\/2?\nAnswer: 0.177817","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + -4. Let k = h + -45. Let r = k - -84.3. Which is the nearest to -1? (a) r (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000895616709 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -25*x + 21*x. What is the greatest common factor of 120 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4907 = -0*d + 5*d + 3*a, 4*a - 1974 = -2*d. Suppose -6*t + d + 89 = 0. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8585, -4, 1.\nAnswer: -4, 1, 8585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/67)*(n**(-17)*n*n*n)\/n*n assuming n is positive.\nAnswer: n**(-936\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 703 = -3*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7838 to two decimal places.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.348126192 to three dps.\nAnswer: -0.348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290696946.\nAnswer: 2, 3, 48449491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 + 148. Suppose 2*v + 2*c = 3*v + 6, -4*c = p. Let n(u) = u - 2*u - 13 + 0*u. Give n(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/38115 and 97\/8554700.\nAnswer: 76992300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, -2\/11, -1, -0.05?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-42)*-21*(-4)\/((-2912)\/39).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 11358198?\nAnswer: -11358201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 243149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2498, 4959, 7422, 9887, 12354, 14823?\n\"Answer: p**2 + 2458*p + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18392493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - (sqrt(931) + 0 + 4)) + (-1*sqrt(931))**2*-4)*-3*-1.\nAnswer: -11184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 14 + 15 = 0. Let d = o + 30. Suppose 3*q = -d + 4. What is the lowest common multiple of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.83 + 0.17. Let t = k + -9.28. Let i = -0.27999987 - t. Round i to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 297, -181 in increasing order.\nAnswer: -181, 3, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28287 and 482517?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 785076 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 18 + 3 = 0. Suppose 0 = 3*c + 3, s - 3*c = c + k. Suppose 3*d = 4*w + 29, -s*w - 18 - 3 = -2*d. Solve -n = -2*n - d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 1118.\nAnswer: 11180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -3, 17855 in decreasing order.\nAnswer: 17855, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11762277?\nAnswer: 3, 3920759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/6*2)\/(4\/12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 9:56 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 3*d - 20 + 12.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30237 minus 0.898053?\nAnswer: 30236.101947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 1\/6*c**3 + 0*c**4 + 0 + 1\/35*c**7 + 0*c**6 + 4*c**2 + 0*c + 0*c**5. Differentiate r(h) wrt h.\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 318 + -313. Suppose 3*q - 3*n - 1 - 29 = 0, 4*q + 3*n - 5 = 0. Suppose -2*c - 2*r = -a*r - 3542, q*c - 8889 = -r. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 e when three letters picked without replacement from {r: 7, j: 3, z: 3, e: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(117\/6))\/((10\/(-12))\/(6150\/(-984))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 5*a + 6. Determine x(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -60337.64 and 1686307.\nAnswer: 1625969.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2.1, 0.2, 526?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10, l: 9}. Give prob of picking 1 e and 2 l.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 10:29 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -3 + sqrt(320) - sqrt(320)) + 5.\nAnswer: 2 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*p - 249*p = 109*p - 2658 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 16*v + 20*v + 3 - 3 + v + (-2*v - 2*v + 6*v)*(-3 + 3 - 2) + 3*v - 2*v + 0*v)*(-2 - 9 + 2).\nAnswer: -252*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2904*i + 165. Let z be w(31). Suppose -14*t - 3*x - z = -18*t, -5 = -x. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(1056 - 1056 - 2089*z**2).\nAnswer: 2089*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prpb when four letters picked without replacement from {s: 1, p: 5, r: 3, b: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*w - 20, 0*w + w = -5*v - 5. Suppose v = -c + 4*q + 3516, 0*c + 5*c + 5*q - 17480 = 0. Round c to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(g**(-23)*g)))*g*g*g**(-21)\/g*g)**11 assuming g is positive.\nAnswer: g**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*d**2 - 67*d**2 - 63*d**2 - 77*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/10 + 342\/30. Solve -60 = -0*d + z*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 + -4271.\nAnswer: -4261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(2 + (-40)\/(-6)). Let c = p + 40. Let u be (-923994)\/(-21) - (-4)\/c. What is u rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -31*t**2 - 6*t - 18. Let q(c) = 32*c**2 + 5*c + 17. Let h(m) = -5*p(m) - 6*q(m). What is the first derivative of h(w) wrt w?\nAnswer: -74*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 152 + 40. Suppose 0 = 15*f - 369 - 141. Let p = f + 104. Calculate the remainder when p is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/((-9275)\/1250)*3\/((-15)\/(-14))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 159005*l**4 + 203263*l**2 wrt l?\nAnswer: 3816120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1796 divide 5334939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 210*w - 207*w - 114, 2*d + 152 = 4*w. Let i(u) = -u**2 - u - 14. Let z be i(0). Let p = w - z. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -3295*r**4\/12 - r**3\/3 - 2499*r**2\/2 + 1473*r - 3. Differentiate h(j) wrt j.\nAnswer: -6590*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + 2*i)*(-3 - 2 + 3) - 2*i + 2*i - 3*i + 8 - 8 + i + ((-1 - 1 - 2)*(-2 + 3 - 3) - 2 - 2 + 5)*(-4 + 6 + 0)*(0 - 10 + 4)*(1 - 1 - i).\nAnswer: 102*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 279688517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 8*d**2 + 3*d - 3. Let o be 3 + (-20)\/(0 - 4). Let f be z(o). Let r = f + -21. Solve r*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173 divided by 96\nAnswer: -173\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + 3 + 2.\nAnswer: 5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(3\/11)*l)\/l**(-8) assuming l is positive.\nAnswer: l**(107\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 299795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.088 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - 2) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 11) to base 12.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjuqqljquuqjm. What is prob of picking 2 q?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 56166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = l - 30, 5*l - 70 = 2*l + 2*t. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 623 + 611 = 0, -28*b = -17*b - 3*d - 40 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 3*a. Let c be t(-2). Let b = 9 + -5. Let d = b + -2. Solve -d*m + p + 3*p = 2, 0 = c*m + p + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/7 - 6*w\/7 + 4\/7 = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (27 - (-12384)\/(-459))*-6. Let r(q) = -3 + 0*q - 4*q - 2 + q**2. Let z be r(5). Sort h, -5, 5, z in decreasing order.\nAnswer: 5, z, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*s + 150*s - 1050 = -269*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220271.\nAnswer: 23, 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 9*f**2 + 6*f - 175. What is l(8)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/748440 and -133\/320760.\nAnswer: 2245320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -6622*g**5\/5 + 8126*g - 5915. What is the derivative of w(q) wrt q?\nAnswer: -26488*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from mmmmmjmjjmmmjmjm?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4\/5*j**2 + 14\/5*j - 14\/5*j**3 + 4\/5 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 940342 divided by 1226?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2464 - -2467. Put -10, 0, g, 8 in increasing order.\nAnswer: -10, 0, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1225002 + -2551?\nAnswer: 1222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11710.4865 and 3.\nAnswer: 11713.4865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - (2 + 2 + -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 - 21*m - 5. What is z(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**3*c)\/c*c)\/((c\/(c*c**(2\/13))*c)\/c*c))\/(c**(-1\/4)*c*c**(2\/17)\/c) assuming c is positive.\nAnswer: c**(2905\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 - 208. Let f = z + 153. Which is the biggest value? (a) -5 (b) f (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 1. Let a(p) = 4*p - 7. Let r(z) = -a(z) + 5*o(z). Suppose -5*w + 412 = -4*q + 79, 3*q + 211 = -4*w. Let f = 81 + q. Give r(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160\/39 + 36\/13. Suppose 109962 = 5*l + 109832. Which is the third smallest value? (a) l (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/59040 and 121\/180810.\nAnswer: 2892960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-1) - 4)*(2 + 2). Suppose -j*n - 20 = 0, n + 1 + 9 = r. Suppose -7 = -5*v + 13, v = r*o - 21. Solve -2*x + p - o = 0, -p = 3*x - 6*p + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 3\/(-5))*15. Let a be 2\/(-4)*(v - 10). Suppose 0 = a*b - 10 - 10. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 6745 = -17*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2094199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2 - 2\/(-4). Let o be -1 + 0 - (r - 93). What is the highest common divisor of 23 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038258965.\nAnswer: 5, 207651793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**4 + 2824*l**3*m - 2*l**3 - l**2 + 5862*l*m + 2*m - 9 wrt l?\nAnswer: 12*l**2 + 16944*l*m - 12*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 11*m**2 - 2 - 3*m**2 - 6*m**2. Give j(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 5:08 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 2 - 6. Calculate the common denominator of (-354)\/44 - -1 - q and (-768)\/2112 + 109\/(-154).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xppxxipxxxppxpixpvc. What is prob of sequence ipv?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11153068 + -4?\nAnswer: -11153073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 22*f**3 - 141*f**2 + 163*f + 234. Calculate c(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + (sqrt(448) + -2)*6 - (-1 + sqrt(448) + 6*sqrt(448) + 5)) + 5.\nAnswer: -8*sqrt(7) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3 - 248*i**2 - 2*i + 123 wrt i.\nAnswer: -12*i - 496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 92*a**2 - 14*a - 31. Is t(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13321 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/((-1)\/1 + -1). Let d(i) = -i**3 - i**r + i + 5*i**3 - 3*i**3. Let o be d(0). Which is the second biggest value? (a) o (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175275750.\nAnswer: 2, 3, 5, 13, 17977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 235*n**3 + 2*n**2 + 89*n.\nAnswer: 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 8*u**2 + 4*u - 7. Let s be o(8). Suppose -2*v - 5*d - 12 = -3*v, 3*v - s = 4*d. Let w = v - -38. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*m + 854 = -481 - 3237 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3009 = -3*n, -4*n + 51 = 3*o - 3944. Let p(g) = 500*g + 499*g - n*g. Let w(y) = 350*y**2. Determine p(w(u)).\nAnswer: -700*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 11*o - 12. Suppose a = 3*v + 31, -2*v - 5*a - 45 = 3*v. Let h be g(v). Let n = h - -19. Is -13\/8 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-11 + 4 - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17298 * -0.0117.\nAnswer: 202.3866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*k - 8 = 0. Find o such that o**3 - 3*o**3 + 3*o**2 - o**k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-42)\/24)\/(2\/(-8)). Let k(s) = 2 - s - y + 1 + 2*s. Let a(w) = -w + 5. What is 3*a(v) + 4*k(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118771 - -9501559\/80. Calculate the common denominator of (-80780)\/(-78400) + 4\/(-28) and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1. Suppose 6 = 6*z - 12. Suppose -z*l + 2 = -4*h, -3*l + 10 = 2*h + 2*h. Solve -r + b = -l, -3*r = -5*q - 34 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1171 - -661. Let c = p - -175. Let h = -335.00000147 - c. Round h to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17220 - 15320. Calculate the greatest common factor of 513 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, b: 7}. Give prob of sequence ggb.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15352421.3 * -0.4\nAnswer: 6140968.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -8*k. Suppose -5*b + 19 = 3*z - k, 0 = 4*b + 4*z - 12. Let a be (-2 - b\/(-3)) + 0. Is a > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 6*n**2 + 5*n + 2. What is c(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 2*w - 3. Let j(g) be the first derivative of -2\/3*g**3 + 10*g - 55 + 7\/2*g**2. Determine 2*j(i) + 7*y(i).\nAnswer: 3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.74094 micrometers in kilometers?\nAnswer: 0.00000006874094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131971800 and 2100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2. Let m be 4 + -2 - (s + 1). Let r(d) = -3 + d + 2 + m. What is r(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (320\/(-120))\/(2\/114)*(-3)\/(-6)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49154369\/17 less than or equal to 2891434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*f - 1199 + 1120 = -3000 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 o, 1 h, and 1 g when four letters picked without replacement from giqiiqqhioqqhqiihii.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1868, -3740, -5612, -7484, -9356, -11228?\n\"Answer: -1872*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 873898*d**5 - 199130*d?\nAnswer: 17477960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*f**2*i*p**2 - 15*f**2*p + f*i*p**2 + i*p + 2*p**2 wrt i.\nAnswer: 28*f**2*p**2 + f*p**2 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -35166, 3 in ascending order.\nAnswer: -35166, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1010641540*b**4 + 1290266368*b.\nAnswer: -12127698480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -3 - -3) + (-8 + -12 + 6 - 18).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - 9041*k - 135170. What is w(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/7 + 32*v\/7 + 4.\nAnswer: 4*(v + 1)*(v + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22904 + 22906. Let b = -0.2 + -0.8. What is the closest to 0 in p, 3.8, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 0*k + 18 + 11\/2*k**2. Let w(j) = 4*j. What is h(w(a))?\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -15.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6*b = 2*b + 20, -4*w + b = 17. Let i(y) = 5*y + 1. Let o(r) = -6*r + 5*r + 1 + 5*r. What is w*o(n) + 3*i(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*u - 161, -4*u - 118 = -4*o + 6. Let g be (44\/o)\/((-2)\/(-3)). Suppose 4 = v, -c + g*v + 37 - 6 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -3 (c) -3\/8 (d) -2\/553 (e) -40\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + 58*x + 280. Let y(t) = -5*t**3 + 116*t + 562. Let u(b) = 3*y(b) - 7*z(b). What is the derivative of u(f) wrt f?\nAnswer: -3*f**2 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3459303.48 to the nearest 10000.\nAnswer: 3460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595806033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 8. Let a = x - 19. What is the second smallest value in a, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 383 = 520 - 410 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -39115*t - 1930. Let n(k) = -6519*k - 323. Let x(c) = -6*f(c) + 35*n(c). Let s be x(17). What is s rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - 75*m**2 + 40*m - 30. What is y(-38)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 5 + sqrt(32) + 2)**2 + -2.\nAnswer: 97 + 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 30.38. Let t = 75.84936674 + -76.469366. Let o = j + t. Round o to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 5, m: 1, s: 3, b: 2, u: 1}. What is prob of sequence bz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 4 + 3 = 4*h, -9*h - 48 + 53 = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -943676 by -4.\nAnswer: 235919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -52. Solve -2*y - 4 = z*d, 18 = -5*d - y - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 5184.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 83833076\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 13 = 2*u, 3*u - 65 = -5*a - u. Let t(y) = 23*y**2 - 3*y + 5. Let m be t(2). Calculate the greatest common factor of a and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147066 is divided by 770?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*u, 0*u - 3*u + 1 = -m. Let w = 4314.04 + -4314. Which is the nearest to u? (a) -3 (b) -0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2868, -11378, -25534, -45336, -70784?\nAnswer: -101878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b - 15 = -l, -4*b + 2*l - 6 = 0. Is b smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*l - 86 = -57*l. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53427 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 25*n - 115. Let l be t(5). Is 39\/(-39) - -689*l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by -78?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -3. Calculate the remainder when (168\/48)\/((-1)\/(-24)) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3 + 428329*l**2 + 129619*l.\nAnswer: 12*l + 856658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0633*-1.61.\nAnswer: -0.101913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 136\/72)\/(5 + (-36)\/8). Factor -2\/9*l**2 + 4\/3 - n*l.\nAnswer: -2*(l - 2)*(l + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/(-195))\/(2\/10*-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22489 + 10159. Is v a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, -24, -13, 3, -31 in descending order.\nAnswer: 3, 1, -0.1, -13, -24, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (1 - 15) - (3 + -60).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c**2 + 27*c**2 + 7 + 2*c**3 + 2275*c - 1139*c - 3*c**3 - 1142*c. Determine z(18).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 + 93. Calculate the least common multiple of l and 6\/((45\/12)\/5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.2. Let h be (-4)\/6 - (-2)\/(-6). Let q = 6.7 - 1.7. Sort q, h, i in descending order.\nAnswer: q, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(171) - 1*sqrt(171))**2 + -2)*-2 + -5.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**2\/9 - 178*n\/9 + 44\/9.\nAnswer: 2*(n - 22)*(4*n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/88 and 145\/221256?\nAnswer: 2433816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-18)\/24))\/(8\/294).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -5)\/(-9)*(15 - 0). Calculate the common denominator of -25\/9 and ((-1)\/(-4))\/(j\/70).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0 - 6. Find the second derivative of 9*u**p - 2*u - 5*u + 5*u + u wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21256, -77132, -170258, -300634?\nAnswer: -468260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12, 11, -6, -51, -136, -273, -474?\n\"Answer: -2*v**3 + 4*v**2 + v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/20*5 + -21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x - 884 = 0. Suppose -36*s = -134 - x. Solve -4*w + s = -12*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197312 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -46, -36, -38, -52, -78, -116?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86520 is divided by 267?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -2\/13, 2.1, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwhhhwwwwwwhwwwwwwh?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.05, -3\/2, 8 in decreasing order.\nAnswer: 8, -0.05, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-56)*(-68)\/51\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61528 divided by -15382.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122867 + -16608. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-2044))\/((-3)\/(-339)). Let s = 20\/73 + q. Which is the second biggest value? (a) -0.3 (b) s (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1767475, 1767468, 1767457, 1767442, 1767423?\n\"Answer: -2*n**2 - n + 1767478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3788 + -3718. What is the smallest common multiple of l and 91?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4861*z + 187*z + 942*z)*(-2*z + 2 - 2).\nAnswer: 7464*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 11*g**2 + 19*g + 23. What is the remainder when 81 is divided by w(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5874\/(-3630) + (-2)\/11. Let k = -1.4 + 1.5. What is the third smallest value in x, k, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, -69699, 303 in increasing order.\nAnswer: -69699, -6, 0, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24351, -48701, -73051, -97401, -121751, -146101?\n\"Answer: -24350*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4174*s**2 - 29*s - 214. Is z(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**5\/20 - c**4\/6 + c**3\/2 + 3*c**2\/2 + 14*c. Determine s(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 505 divided by -1\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11\/(-77) - (-28702)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**3 + j. Suppose -4*l = -s - 7, 9*s = 7*s - 5*l + 38. What is the remainder when p(-4) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24a8c8 (base 13) in base 8?\nAnswer: -3267274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1047061\/96280 + 2\/12035. Suppose 3*f + 1 = o + 3*o, -2*o = 5*f + 45. Calculate the common denominator of 2\/(-5)*f\/(-2) and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/9 and 97\/609872.\nAnswer: 5488848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/(-2)*294\/(-98)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 9*n**2\/2 + 2*n + 16. Let v(s) = -91*s - 21. Suppose 16*l + 3*z = 11*l + 108, -4*l - 3*z + 87 = 0. Determine l*b(f) + 2*v(f).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)*y*y*y**(1\/3))**26\/(y**0*y\/y**(-5\/2))**39 assuming y is positive.\nAnswer: y**(-1547\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-2*y**2 - 3*y**2 + 2*y**2) + 5*y**2 + 14*y**2 + 8*y**2.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155 (base 16) in base 14?\nAnswer: 188d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, d: 1, i: 2, r: 2}. What is prob of sequence dn?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*h - 11*h = -13*h + 5716480. Round h to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81 + 112 + (-8 - -16 - 1) + -4 + 0.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -194.599 + 195. Let i = 0.099 + z. Which is the closest to 0? (a) i (b) -1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 977 divided by 1.\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*t - 4*t. Suppose -t + 25 = 5*k. Solve 5*x = 4*a + 21, -k*x = 5*a - 7*x + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 443 + -97. What are the prime factors of o?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 e when four letters picked without replacement from eeeeeeueue?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1509696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 22*o - 19. Calculate q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/18 and 15\/18*156\/16.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -670, -2705, -6096, -10843?\n\"Answer: -678*u**2 - u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:00 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 4*p + 5*p + (-1 - 1 + 3)*(2*p + 1 - 1) + p + p - 3*p + (p - 3*p + 0*p)*(2 + 0 - 3) + (1 - 6*p - 7*p - 7*p)*(-1 - 3 + 0).\nAnswer: 85*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(21\/(63\/12)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1131614, -1131615, -1131616, -1131617, -1131618?\n\"Answer: -c - 1131613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -111111110101?\nAnswer: -111111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbdbdbbbbdb. What is prob of sequence db?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*r + 25260 + 6178 = 0, 47153 = 3*h - 5*r. List the prime factors of h.\nAnswer: 3, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42444*c + 1 - 42209*c + 4 - 5.\nAnswer: 235*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*s + 7 = 26, -9 = -3*j - 5*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -911\/3 - -2722\/9. Let g(r) = -r**3 - 39*r**2 - 14*r - 63. Let k be g(-39). Let s = k + -516. Find the common denominator of y and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 159*u**2 - 3571*u - 62. What is s(-27)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*l + 53725 = 4*i, -5*i + 4*l = -67163. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = -6*w + 178. Let s(t) = 5*t**2 + 12*t - 2*t**2 - 4*t**2 + 0*t**2 + 28. Let i be s(14). Solve w*c - 2*c - 15 = i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**3\/4 - 1089*g**2\/4 - 28998*g - 812724 = 0.\nAnswer: -188, -131, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 26 = 3*v, 2*v + 39 = 7*f - 2*f. Let n = -19\/3 - v. Let p = -45 - -228\/5. Sort 4\/3, n, p in ascending order.\nAnswer: p, n, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.5 + 19. Which is the third smallest value? (a) -0.3 (b) 2\/13 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = -12*g - 395. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 9)*76\/6. Let k = 11405 - 80102\/7. Let s = x - k. Is -1 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, v: 5, f: 4}. Give prob of picking 1 f and 1 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2*n + 3*d - 5 = 0, 5*n = 4*d - 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*v = -110, 2*v = -m - 2*v + 46. Suppose 4*u = 7*c - 2*c + 67, 2*u - 4*c - m = 0. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -311 - -311.3. Sort g, 4\/5, 88 in descending order.\nAnswer: 88, 4\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1872, 3745, 5668, 7665, 9760, 11977, 14340, 16873?\nAnswer: 19600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/15840 and 143\/150?\nAnswer: 79200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Let z(c) = 2*c**2 + 2727*c + 16315. Let g be z(-6). Solve 15 = -3*y, -y - 2*y = -h*q + g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8408.7 + 8409. What is the closest to -0.1 in -2\/11, -1\/363, 1, r?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 5*r + 3. Let d be m(3). Sort -5, 1, d, 5.\nAnswer: -5, d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkkk when four letters picked without replacement from {k: 3, m: 2, z: 6, g: 1, e: 1}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6033*r**2 - 32*r - 7. Let v be q(6). Suppose 21*x + v + 124681 = 0. What is x rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 5*y**2 + 5*y**2)*((1 - 1 + 2*y)*(-1 - 44 - 10) + (-4*y - y + y)*(-1 + 1 - 8)).\nAnswer: 78*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/3)\/3 - 0. Suppose 0*m - 2*m = 3*p - 71, o*m - 137 = -p. Calculate the remainder when m is divided by (21\/12)\/(1\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(18)\/(3*sqrt(9)) + -1 - (4 + (-6*(sqrt(2) - (1*sqrt(2) + 3 - sqrt(2))))**2).\nAnswer: -401 + 646*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*k + 6, 2*k = 4*o + 2 - 8. Suppose 1827 = 5*h - o*h - i, -1093 = -3*h - i. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5748 + -5738. Solve 22*v = 122 + i for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6904 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/(-168)*(204 + 4) and (-8)\/(-14)*(-13)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5627, 22852, 51681, 92120, 144175, 207852, 283157, 370096?\nAnswer: 468675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:59 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33705 and 3290?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.5 + 6.6. Let r = 6 + -6. Suppose r*m = -3*m. Which is the nearest to 3? (a) y (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2264*f**2 + 921*f**2 + 1334*f**2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 401405.9953 + -401461. Let c = 55 + w. Round c to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(1\/3)*k)*k*k*k\/k**(-2\/7))**(-7)*(k*k**(2\/7))**(-28)*(k*k**(3\/5))\/(k*k**(-1)\/k) assuming k is positive.\nAnswer: k**(-776\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/13031 or 21744?\nAnswer: 21744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 167176 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.2 (c) -23 (d) -2\/5 (e) 29.1 (f) 37 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.9 - -0.1. Let q = -5.8 + y. What is the third biggest value in 2, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1537 (base 12) to base 5.\nAnswer: 34431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -17*q**2 + 3 - 3 + 20*q**2. Let l(k) = -11*k. Give u(l(y)).\nAnswer: 363*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 + 30*i - 20. What is the remainder when c(-10) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x**2 + 19*x + 2. Suppose 3*a = 4*v + 33, 4*v + 29 = a - 6. Is h(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c067 (base 13) in base 10?\nAnswer: 169254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -388, 5, 29, 39193 in ascending order.\nAnswer: -388, 5, 29, 39193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w**3 - 6 + 2*w**2 + 16*w**3 - 2*w**2 + 25*w + 16.\nAnswer: w**3 + 25*w + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-244)\/243)\/(18\/(-32697)). Let p = l + -1824. Sort -1\/2, p, -5 in ascending order.\nAnswer: -5, -1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 8*m. Let v be l(8). Suppose 0 = 3*i + 2*h - 215 - 48, -i - 5*h + 92 = v. Let c = 130 - i. What is the remainder when c is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -2. Let j(d) = -d + 5. Let g be j(t). Find the second derivative of -2*h + g*h + h + h**3 - 3*h wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 2*n**3\/3 - 7*n**2 - 5*n. Is o(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:16 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -35\/4, -2787, -1.18, 3?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/(-75)*(-90)\/36?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**2 + 3*y**2 + 2*y**2)*(y + y + 0*y)*(5 + 2 + 0).\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2 - 6*a + a**2 + 4 + 11*a. Let d be j(-4). Find the second derivative of -d*u**2 - 3*u**2 - u**2 + 3*u wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/9 and (-66)\/4*(-6)\/15*-1.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(1 - 2*c - 1)*(115*c - 147*c - 169*c).\nAnswer: 804*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -21, 0.01, -1, 0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 12*n**2 + 36)*(0*n**2 - n**2 - 2*n**2).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-17 - (5 + -3 - 0 - 9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 13*g**3 + 2*g**2 + 3*g + 2. Determine f(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 6*n - 28. Give j(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 11689.\nAnswer: 5\/11689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-1\/32)\/(i**0)**6 assuming i is positive.\nAnswer: i**(1\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35799, -35841, -35885, -35931, -35979, -36029, -36081?\n\"Answer: -q**2 - 39*q - 35759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 99 = 93. Let c(p) = 5*p**3 + 2*p**2 + 2. Calculate c(a).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gge when three letters picked without replacement from {g: 3, e: 2, b: 4, k: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*i - 4*z, -5*z - 8 = i - 7*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59689 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-20))\/(197\/100 - 2). Suppose 0*l = 2*l + 5*k - g, -l + k + 13 = 0. Is (-7)\/((-42)\/54)*l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Let v(p) = -3*p - 144. Let y be v(-49). Solve -g*a = y*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133397049.\nAnswer: 3, 139, 319897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 21 + -12 - (1 + -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (33 + (19 - 25) + (-5 - -5) + -7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/8 - 21593*v**2\/8 + 43189*v\/8 - 21595\/8.\nAnswer: -(v - 1)**2*(v + 21595)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 93?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/2, -2\/3, -1\/10 in descending order.\nAnswer: 1, -1\/10, -1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l - 6. Let z(m) = -m**3 - 4*m**2 + 4*m + 7. Is z(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3067 + -2344. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3\/3 + 5*x**2\/2 - 3*x - 11. Let m be (-3)\/(-1)*(0 + 1). Suppose -18 = o - 2*o + 3*h, 5*o - m*h = 30. Give s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/6)\/(-8 + 9). What is the third biggest value in h, 3.8, 3\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75799 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 52*j**2 + 701*j - 753 = 0.\nAnswer: -753\/52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 4:07 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 3*z - 6*z - 3643 + 1228 + 1189 + 1229.\nAnswer: -10*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34, -134, -308, -562, -902, -1334, -1864, -2498?\n\"Answer: -x**3 - 31*x**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s - 2*s + 6*s)*(0*s + 2*s - 4*s) - 664*s - 195*s**2 + 664*s as a*s**2 + h*s + q and give a.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.2 + -0.8. Let o = x + 2.6. Let l = -0.4 - o. Are -1\/2 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 2298111111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 148 = -4*v. Do v and -75 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.45284781 to one dp.\nAnswer: -30.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3898 (base 12) to base 4.\nAnswer: 310030310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -183. Let z = q - -283. What is z rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 36*m + 1752. Let n be z(-43). Calculate the highest common divisor of n and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8196 or 40974\/5?\nAnswer: 40974\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 763476 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30664857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + -6 + (1 - 0). Let v(j) = j - 6. Let t be v(5). Put f, -5, t in decreasing order.\nAnswer: f, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -880*r**2 - 522*r**2 - 498*r**2 + 579*r**2.\nAnswer: -1321*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(8) + sqrt(56)\/sqrt(7)) + (sqrt(30) - sqrt(2430)*3))\/((4*sqrt(100))\/sqrt(10) - (2*sqrt(10)*2 + sqrt(10))).\nAnswer: 51*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 550, 115, -2322, -7763, -17210?\nAnswer: -31665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5615468865?\nAnswer: 3, 5, 124788197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20087 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265541 is divided by 2505.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222265 (base 7) to base 9.\nAnswer: 58747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-3\/4)\/w))\/w**(-2\/3)*w**(-6\/7)\/(w*w**(-9)*w))\/(((w\/(w**(-3\/2)\/w))\/(w**(-1\/3)\/w))\/(w**0)**(-3\/31)) assuming w is positive.\nAnswer: w**(397\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5620 and 2?\nAnswer: 5618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -16. Suppose -2*n + l + 94 = -3*l, p = 3*n - 2*l - 153. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/6 - 43*u**3 - 16381*u**2\/6 + 5590*u - 8450\/3.\nAnswer: -(u - 1)**2*(u + 130)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(663 + 3*z**2 - 12*z**3 - 663).\nAnswer: -12*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzbszqzqqyzqqsbqsz. What is prob of sequence qssz?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 - 63. Let l(t) = 2*t - 46. Let k be l(v). Let f(w) = -2*w**2 + 3*w - 5. Let y(x) = -3*x**2 + 3*x - 4. Let g(s) = -4*f(s) + 3*y(s). What is g(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -155317.000131646 - -155317. Round t to six decimal places.\nAnswer: -0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 2:13 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 12348, 8, -2 in increasing order.\nAnswer: -2, 8, 12348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 237, 506, 875, 1350, 1937, 2642, 3471?\nAnswer: 4430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**5 + 573*p**4 + 1103*p + 1 wrt p.\nAnswer: 40*p**3 + 6876*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**11\/55440 + k**10\/37800 - k**9\/30240 - k**5\/60 - 6*k**2. Let v(i) be the third derivative of t(i). Factor v(p).\nAnswer: 2*p**3*(p + 1)*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (101 - 12) + -2 + 2 + -14?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n = 12. Suppose 5*b + h = -2*h + 800, 5*b + n*h = 795. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 4, t: 2, s: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 592567 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 - 14690*u**3 + 14685*u**3 - 87 - 78.\nAnswer: -5*u**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(11)*-1 - (sqrt(275)*-1)**2)*-5 - sqrt(99)\/(sqrt(225)*-2 + sqrt(225) - sqrt(225))*-1)*-6.\nAnswer: -8250 - 297*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 244, -3\/8, 1\/2, 3\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124159\/9 - -13802. What is the common denominator of (13\/306)\/(2\/(-6)) and g?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 3*s - 6. What is i(4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -50, -1, -3, -10, 0 in descending order.\nAnswer: 3, 0, -1, -3, -10, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 35, 2 in descending order.\nAnswer: 35, 2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 55, 113, 185, 277, 395?\n\"Answer: l**3 + l**2 + 48*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -270, -389, -510, -633, -758?\nAnswer: -885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -72839 rounded to the nearest 1000?\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11303 - 0?\nAnswer: -11303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5a7d2 (base 14) to base 12\nAnswer: a7b30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**3 - 9*l**2 + 8*l + 5. Let x(q) = -13*q**3 + 36*q**2 - 31*q - 20. Let y(s) = -9*h(s) - 2*x(s). What is the tens digit of y(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - v**2 - 2*v + 2. Let u(c) = 28*c**4 - 276*c**3 + 312*c**2 - 32*c - 32. Let h(m) = u(m) + 16*w(m). Let h(a) = 0. What is a?\nAnswer: 0, 2\/7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1431689819 rounded to 5 decimal places?\nAnswer: -0.14317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 4*f**2 - 3*f - 2. Let z be s(-4). Suppose -5*m - 3*t = -176, 0*t - t + z = 4*m. What are the prime factors of m\/2 - (3 + -1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4669 divided by 7.\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(396\/(-2346)) - 6)\/((-70)\/(-35) - -3)?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 90 - 1953. Let s = -1848 - -1875. What is the greatest common divisor of s and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437855 - -42334.7?\nAnswer: 480189.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0.1. Let y = b - -0.2. Let z = -56 + 56. Sort 2\/3, y, z in ascending order.\nAnswer: z, y, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8030 + 12?\nAnswer: -8017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*q - 5*j, -3*q + 2*j = -33 - 7. Is 22 a factor of 2 - -39 - q\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-33))\/(2\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.55 - -109.45. Let y = -113.16 + a. Let s = y - 6.64. Round s to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, 485, -3 in descending order.\nAnswer: 485, -3, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 13 - 33 = 0. Let t(g) be the first derivative of -1211*g**3\/3 - 9*g**2\/2 + 10*g - 1. Let u be t(x). What is u rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53*c**3*m*n**2 + 2*c**3*m - 2*c**3*n**2 - 43*c**3 wrt m?\nAnswer: 53*c**3*n**2 + 2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/1*(32 + -32). Suppose 14*k + y*k - 532 = 0. What is the lowest common multiple of 8 and k?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 - 122*u**2 + 5892*u\/7 - 720.\nAnswer: 2*(u - 420)*(u - 6)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-5\/3)\/d**4)\/(d*d*d**1*d)**(-9\/5))**(-28\/9))**(-8\/5) assuming d is positive.\nAnswer: d**(5152\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**(-4\/5))**45 assuming n is positive.\nAnswer: n**171","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 541630955 to the power of 1\/3, to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/4194 and 5\/124848.\nAnswer: 29089584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + -7 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-11984))\/(118\/236*(-1)\/(21\/(-6)))?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*c - 5*c. Let n = 19 - c. Suppose -3*a - 5*g + 20 = 2*a, -5*a - 4 = -n*g. Is -2\/5 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.109 smaller than 11151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*z - 2, -5*z + 0*z = -10. Suppose -a*p - 3 = -15. Suppose -15*x = -p*x - 143. Calculate the greatest common divisor of 143 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Suppose -t*k - 5 = -11. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 10:36 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 14. Which is the closest to -1? (a) u (b) -0.5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*g**2*k**3*n**3 - 14*g**2*k**2*n**2 - 5*g**2*k**2*n - g*k*n + 49*k**3*n wrt n.\nAnswer: 66*g**2*k**3*n - 28*g**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 927115, 1854208, 2781309, 3708418?\nAnswer: 4635535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 17*r - 8. Calculate the remainder when 777 is divided by h(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, 2, -1, 3, 3403 in descending order.\nAnswer: 3403, 3, 2, 0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.3 and 13594778.\nAnswer: 13594780.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.948797 kilograms to tonnes.\nAnswer: 0.004948797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 42?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196 - 192 - 1370*g + 694*g + 699*g.\nAnswer: 23*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 285 by -95.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 83*o - 242. Let w(q) = 16*q - 49. Calculate 4*c(t) - 21*w(t).\nAnswer: -4*t + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.3 and -0.39.\nAnswer: -7.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.26 and 0.2.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -21 - 6*f + f + 21*f - f**2. Let i be c(14). Suppose 0 = -i*z + 4*z + 36. Calculate the remainder when 95 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 18 = -17*l + 13*l, 3*l = -3*c - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/42)\/((-53)\/742))\/((24\/(-28))\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 8) to base 5\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 304699432*o**5 - 18181539*o - 7 wrt o?\nAnswer: 6093988640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 6*i - 1\/6*i**6 + 0 + 0*i**3 + 5\/12*i**4 + 0*i**5 + 0*i**2. Find the third derivative of l(c) wrt c.\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9))\/((-4)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*n**3 + 396 - 396 + (n**2 - n**2 - 2*n**2)*(11*n - 13*n - 8*n).\nAnswer: 44*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-7\/5))\/(f*f*(f\/(f**1\/f*f)*f)\/f)*(f\/f**(-1\/2))\/f**(1\/10) assuming f is positive.\nAnswer: f**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 47 = -2*g + 53, 3*g + 5*p = 22. Solve 0 = -4*k + y - 20, -4*k - 2*y - y - g = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4\/13 - 83965794*i**3\/13 + 251897394*i**2\/13 - 251897398*i\/13 + 83965800\/13 = 0.\nAnswer: -41982900, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-4))\/8)\/(18\/12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f**2 + 3. Let q(w) = 3*w**2 + 1. Let h(i) = -d(i) + 3*q(i). Let o(j) = 1220*j. Let a(c) = 53*c. Let y(z) = -70*a(z) + 3*o(z). Determine h(y(k)).\nAnswer: -2500*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 + 90. Let r(b) be the third derivative of b**5\/10 + b**4\/6 - 2*b**3\/3 - b**2. Let x(g) = -5*g**2 - 3*g + 3. Give z*x(c) + 4*r(c).\nAnswer: -c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 3. Let a = 258 - 69. Let j = 192 - a. Calculate d(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from {y: 3, d: 2, g: 1, n: 1, f: 1, p: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4*-4*-2. Let q be (27\/(-12))\/(1\/v). Solve 0*b + 3*b = q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 + l**2 - 4*l**2)*(l - l + 2*l) - 30*l**3 - 40*l**3 - 44*l**3 to the form o*l + d*l**2 + r*l**3 + z and give r.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(5\/3)\/(a\/(a*a**4*a*a))**(-6) assuming a is positive.\nAnswer: a**(-118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40430963171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1584.789 years to months.\nAnswer: 19017.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1302)\/(-4774)*(6\/(-3))\/(-4).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 11:16 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1976.2 + 3278. Round v to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12947 - 1678 = -75*v. What is the smallest common multiple of 5 and v?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1098 = -199*w + 260*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - -3. Calculate the greatest common divisor of u and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 1, h: 1, d: 1, s: 1, c: 1}. Give prob of picking 1 m and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555919201.\nAnswer: 555919201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 40229 = -5*r - 195294, i + r - 31013 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -251?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1488, -2384, -2642, -2214, -1052, 892, 3666, 7318?\nAnswer: 11896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + q - 1. Let a(i) = -4*i**2 + 9*i - 5. What is a(d) - 3*p(d)?\nAnswer: -d**2 + 6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**2*r*u - 466*d**2*r - 5*d**2*u**3 - d**2*u + 8*d*r*u**2 - 2*r + 757*u**3 - 2*u wrt u.\nAnswer: -30*d**2*u + 16*d*r + 4542*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c + 126 = -46*c. Suppose 0 = -5*h + 15, -3*h + 14 + 10 = 3*b. Suppose b*s - 9 = c. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**4 + 3*g**3 - g - 1. Let o(p) = p**2. Let b(s) = s**5 + s**4 - s**2 + s - 1. Let t(f) = b(f) + 2*o(f). Let i(n) = h(n) - t(n). Solve i(x) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6963\/13 - 536. Put g, 0.2, 2\/7 in descending order.\nAnswer: 2\/7, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692639 is divided by 322.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-13020)\/112)\/31*(-3)\/(81\/12)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -11, -1, 1, -14, 7912 in descending order.\nAnswer: 7912, 1, -2\/15, -1, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -524142112 + 6?\nAnswer: -524142104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1857 + 5?\nAnswer: -1852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (92 + 23)) + 10.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1032804, -2065607, -3098410, -4131213, -5164016?\n\"Answer: -1032803*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/28)\/((-539)\/(-3773)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-10))\/(8\/(-320)*8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-2)\/(-4) - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 3*r**2 + r**2)*(-5*r - 11*r + 5*r).\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h + 4. Let s(y) = 1. What is a(x) - 4*s(x)?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11120532 a multiple of 401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 13, 10, 7, 4, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62100.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - v + 2*f + 8, 0 = -v + 5*f + 13. Let a be (-128)\/(-2) - v - -3. Suppose 3*c - 3 = a. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {v: 2, h: 1, k: 1, a: 4, t: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -0.1, 1563, -11, 2, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b + 2. Let o be (-2)\/(-4)*(-4)\/(-2). Let h(g) = -g**2 + 9*g - 9. Let c be h(7). Suppose -c*s - 9 - o = 0. Determine i(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-485)\/1560*(-4 + 2). Let x = 117433\/187356 - r. Let b = x + 87577\/19216. Find the common denominator of -109\/20 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (18 + -2)\/(-4). Let l be 4*((-1)\/2 - 1). Let z = f - l. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(2\/(-4)))\/2*485*659\/15021905?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11413 (base 6) to base 3.\nAnswer: -2021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-32)\/112 + (-58)\/42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 411204 and 24.\nAnswer: 822408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + c - 72918 = 0, -8*c + 8 = -4*c. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0098 and -0.001096.\nAnswer: -0.010896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3\/3 + 1204216*p**2\/3 + 181269430240*p\/3 + 725058453632\/3 = 0.\nAnswer: -301052, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5008*z**4\/5 - 2103361*z**3\/5 + 8493148*z**2\/5 + 1696*z\/5 = 0. Calculate z.\nAnswer: -424, -1\/5008, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4. Let v = 1.2429 + 0.4571. Which is the second biggest value? (a) -1\/2 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1885380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*w - 2*d, -w = w - 2*d - 6. Let g = 11 + -8. Solve 2*u = -2*j + 10, -g*u - j = w*j - 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -38*f**3 - 3*f**2 + 3*f. Let p(i) = 77*i**3 + 6*i**2 - 5*i. Determine 5*a(u) + 3*p(u).\nAnswer: 41*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.046 + 0.046. Let y = 17 + -35\/2. Which is the second smallest value? (a) h (b) y (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 3:20 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-35)*77\/(-11)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffkfffffffff. What is prob of picking 2 f?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265053 + -662?\nAnswer: 264061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2327 or -2332?\nAnswer: -2332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 18. Let v be (1550\/15)\/(m\/9). What is v rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*c + 69*c - 7923 = 56*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4723 - 4293. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 163*b - 233. Solve 13*t - 26 = -4*l, -4*l - t - 1 = -b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e + -3?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/15 + 22\/(-6). Let w be (0 - 0)\/2 - g. Suppose -5*z - 7 = -w*v, -v + 4*z = -0*v. Solve v*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in nine tenths of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2500 + 2536. What is the remainder when a is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2665 or 66644\/25?\nAnswer: 2665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 - 2*a**2 + 1501 - 587 + 0*a**2 + 1556 in the form m*a**2 + p*a + n and give n.\nAnswer: 2470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 3. Let q(h) = 4*h + 11. Let i(r) = 6*q(r) - 22*t(r). Let f(p) = 8*p + 11*p - 9*p. Calculate i(f(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**3\/9 - 37282*y**2\/9 + 19290320*y + 135235296 = 0.\nAnswer: -7, 9324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*d = 3, 0 = -2*r - 0*r + 5*d - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(220)\/sqrt(4))\/sqrt(5))**2 - sqrt(44)\/(sqrt(16)\/sqrt(4) + sqrt(4)) - ((-4*-2*sqrt(88))\/sqrt(8))**2.\nAnswer: -660 - sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q + 150. Let w = -3 - -6. Suppose -2*c + 3*y - 20 = -w*c, -89 = -5*c - 4*y. What is the remainder when q is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -346 + 348. Differentiate -97*b**l + 19*b**2 - 107 - 49*b**2 + 16*b**2 with respect to b.\nAnswer: -222*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 247369.\nAnswer: 13\/247369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**(-8))*u))\/u*u**(-4)\/u)\/(u*u*(u\/(u*u\/(u**9*u*u*u)))\/u*(u*u*u**1)\/u) assuming u is positive.\nAnswer: u**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*k**2 + 185*k**2 + 50*k**2.\nAnswer: 440*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*d + 16, -8*d = 2*z - 11*d - 19. Calculate the highest common factor of z and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 8*t**2 - 2*t - 6. Let u be i(-8). Factor -4 + 9*n - 3*n - u*n**3 + 8*n**3.\nAnswer: -2*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r - 4. Is 17 a factor of a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**3*i**3 - 3*f**3*z + 2*f**2*i**3*z - f**2*i**2*z + 8*f*i**3 + 3*f*i**2*z - 10*i**2*z wrt i?\nAnswer: 18*f**3 + 12*f**2*z + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -31878*n. Let s(t) = t**2. What is s(a(m))?\nAnswer: 1016206884*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89338.\nAnswer: 2, 19, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7.916 + -563858.49192\nAnswer: -563866.40792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -32*u - 315. Calculate z(-35).\nAnswer: 805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16608 + 16468.35. Round v to the nearest integer.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 1, h: 2, o: 1, n: 1}. Give prob of sequence pb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133781713*y**3 + 26*y**2 + 97164.\nAnswer: 802690278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-1 - -1) + -4 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m**2 - 5*m - 13. Let y be n(-3). Let p be (-5)\/(-10) + 1\/(-2). Is (-3 - p)\/(3\/y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*w - 8. Let q(y) = y**3 + 4*y**2 + 3*y + 2. Let d be q(w). Solve 0*o - 3*o - 6 = 3*a, d*a = 3*o - 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Suppose 6 = 2*z - a. Calculate the common denominator of -73\/2 and 0\/z - (-67)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -10, -2*k + 802 = 3*k - 4*q. Calculate the highest common factor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -268539 - -3491043\/13. Factor 14\/13*w**3 + 102\/13*w - c + 80\/13*w**2.\nAnswer: 2*(w + 3)**2*(7*w - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289044 = 679*u - 742*u. Calculate the highest common factor of 806 and u.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 10. Let h(b) = b + 5. Let f be h(c). Suppose -2*w - 6 = -2*z, -4*z - 41 = -37. What is the nearest to -1\/2 in f, -5, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96140\/(-24035)*(1\/(-152))\/(1\/2)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11)\/((-660)\/168))\/((-1)\/(-175)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**3 + 44*o**2 + 37*o + 41. List the prime factors of x(-13).\nAnswer: 2, 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(4 - 14*(-30)\/(-25)). Let k be x + -74 + (-8)\/6*-3. Let g(m) = -m**2 - 7*m + 7. Calculate g(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -448*h + 456*h + 20, 2*f + 4 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2217, -2228, -2225, -2208, -2177?\nAnswer: -2132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -46, -97, -152, -211, -274, -341?\n\"Answer: -2*k**2 - 45*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 588445 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1316\/(-84) + 20)\/((-5)\/45*3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 2. Let o(x) = 1. Suppose -6*g + 26 = 32. Let u(p) = -2*p. Let s be u(g). Let d(j) = s*o(j) + b(j). Let m(f) = 9*f**2. What is d(m(a))?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 17*s + 2. Suppose 4*o = 3*i - i + 64, -5*o = 3*i - 91. Let z be c(o). What is the first derivative of 7*u - 15*u - 11*u - z*u - 8 wrt u?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184810?\nAnswer: 2, 5, 18481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((5 - 10) + -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539*p + 12586 = 3423 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, p: 1, l: 1, a: 1, d: 2, y: 7}. What is prob of picking 1 k and 1 p?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/19 or 4588?\nAnswer: 20\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19136 divided by -52\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 61*r**2 - 17*r - 35. Determine j(-2).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(55) - sqrt(605)\/(sqrt(66)\/sqrt(6))))\/((sqrt(132) + (sqrt(132) - (sqrt(132) + 2*sqrt(132)) - sqrt(132))*3)\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*t**2 + 57*t**3 + 0*t**2 - 4*t**3 - 24*t**2 wrt t?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 23919 = -36809. Let q(w) = -15191*w - 2 - 1 - 2*w**2 + l*w. Determine q(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 5:31 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 38 * 243\nAnswer: 9234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/108*(-4)\/15. What is the nearest to s in -5, -0.5, 4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, x: 2, u: 3}. Give prob of sequence upx.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*6\/9)\/3*(-741)\/(-26)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 202.8 - 159. Let n = y + -44. Which is the nearest to -1? (a) 3\/4 (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 270*q**2 + 480*q - 2080.\nAnswer: 5*(q - 2)*(q + 4)*(q + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 42 - (1 + -7)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 minus -0.01?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1976657106 to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 10*r - 25. Let v be g(2). What is the hundreds digit of v - (-17)\/(68\/1140)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21448207, 21448211, 21448217, 21448225, 21448235, 21448247?\n\"Answer: y**2 + y + 21448205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -70, -1, 0.\nAnswer: -70, -10, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20540 = -4*y - 2*p, -39*p + 4 = -41*p. What are the prime factors of y?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32133 + 2303?\nAnswer: 101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*782\/207*6\/17?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 8:43 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 275701302 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4269 (b) 3 (c) 0 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001686 rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -783?\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6471341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 20*d + 15*d - 6*d)*(1 - 1 + 2*d**2) + (2*d**2 - 2*d**2 + d**2)*(0*d - 4*d + 5*d) + 3746*d**2 - 93*d**3 - 3746*d**2.\nAnswer: -114*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen fifths of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 804?\nAnswer: 13\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4225 - 4214. Solve -35*w + l = -59 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28653 smaller than 28652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -53. Let o(b) be the first derivative of 5*b**2 - 2*b + 5. Is o(r) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27650653 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 10:03 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 261403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 10 + 8. Let p = -4 + z. Let b be 3 + ((-3)\/1 - -9). Solve 2*h + 3*t - p = 5, 3*h - b = -3*t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**3\/2 + 5*u. Suppose 23 = 5*y - 2. Let w(d) = 6*d - d - y*d - 6*d. Give f(w(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 693\/(-2541)*(-11)\/(-2)*8\/(-10)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 89 - 84 = 0, -670 = -5*s - 5*j. What is the highest common factor of 27 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8114 (base 14) to base 4.\nAnswer: 11122112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -184 - -4?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 2:51 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14020561 is divided by 1357.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -a - 0*x - 3*x, 3*x + 18 = -15 - 5 + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 99948, 400081, 900308, 1600635, 2501068, 3601613, 4902276?\n\"Answer: k**3 + 100041*k**2 + 3*k - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2882, 2771, 2660?\nAnswer: 2549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((17595\/(-27))\/(-17))\/(630\/378)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3 + 6*s**2 - 27*s - 54 = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-2))\/33)\/(91*91\/198744).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*k + 50 = 0, -130 = -7*c + 2*c - k. Suppose -10*u + 5 = -c. Let a(y) = 24*y + 5. Is a(u) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5366 - -60?\nAnswer: 60.5366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((-3)\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 416.5 + -478. Let m = y - -61.498879. What is m rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 351\/15 + 6\/(-15). Let d = 0 + i. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 - -170902\nAnswer: 170899.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3))**(-1\/11)\/(s**(-9)\/(s*s*s**(2\/11)*s*s)) assuming s is positive.\nAnswer: s**(148\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1810121779.\nAnswer: 233, 7768763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7.8822 - 0.2\nAnswer: -8.0822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 11. Let d = 0.2 + l. Let c = d + -0.20028. What is c rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*z**2 - 533 - 4*z**4 - 2*z**3 + 529 - z - 24*z**2 in the form h*z**3 + a*z**4 + c + x*z**2 + v*z and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2\/3, 231?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**5\/110 - 4*g**4\/33 - 7*g**3\/33 - 89*g. Factor l(h).\nAnswer: -2*h*(h + 1)*(h + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/32)\/((-14)\/(-16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - q + 33, m + 2*m - 3*q = 21. Let z = 13 - m. Suppose -62 = -z*p - 4*w, -w + 5*w - 48 = -4*p. What is the greatest common divisor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 u when four letters picked without replacement from gguuuuguupggu?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/9*(-15)\/100*3. Which is the fifth smallest value? (a) q (b) -0.1 (c) -1 (d) 1\/5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 29. Suppose -z*i = -6*i - 2935. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*c = -c, 3*h + 6 = 3*c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -31430*i. Let j(o) = -33*o + 7. Give j(t(s)).\nAnswer: 1037190*s + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**1\/c))**(12\/5)\/(c*c**(-3\/8)*c\/(c*c**(1\/4))))\/((c**4*c)\/c**(1\/3)*c**(-4)\/(((c*c**(3\/2))\/c)\/c)) assuming c is positive.\nAnswer: c**(-13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - k + k + (2 - 3 - 1)*(-k + 4 - 4))*(k + 2091 + 99*k**2 - 2091) as x + s*k**3 + m*k**2 + i*k and give s.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 12860942 - 14*t - 12860942 + 2*t**2. Let q(h) be the second derivative of -h**4\/6 - 2*h. What is q(b(w))?\nAnswer: -8*w**4 + 112*w**3 - 392*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -58. Put l, -1, 2, 1 in decreasing order.\nAnswer: l, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8243256, 8243371, 8243680, 8244279, 8245264?\n\"Answer: 16*p**3 + p**2 + 8243239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 324\/(-8)*2. Suppose 5*c - 8*c + h = 0. Calculate the greatest common divisor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.287*9\nAnswer: -2.583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -78*f**3 + 3*f**2 - 3*f - 5. Let x(n) = -156*n**3 + 5*n**2 - 5*n - 9. What is -5*a(h) + 3*x(h)?\nAnswer: -78*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*c - 20. Suppose -5*j + c = -5*q, -j - 11 = 2*q + q. Is j equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = g + 812, -5*o + 3*o + 2*g = -400. Is 31 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54146 - 54146 - 253*g to x*g + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13212*l**2*p - 49918254*l**2 + 8*l*p + 34*p wrt p?\nAnswer: 13212*l**2 + 8*l + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 12*y**2 + 18*y - 11. Let i be a(-8). Suppose 0 = -11*s + i + 20. Calculate the least common multiple of s and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from jjbrrrjmmqjjjjjttbjb?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 8:01 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -11 + 0 + 1 + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - 1. Let j = -14 + 13.5. Which is the third smallest value? (a) w (b) -1\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 6*i + 3. Let k be x(6). Suppose y = 6*y - k. Let p = 3 + y. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and 22?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -9. Let f = 7.976 - g. What is f rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 6, q: 3, c: 1, s: 1}. Give prob of sequence vq.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 76 = 231*b - 229*b, -3*b + 10*b - 550 = 17*m for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 2*g + 7*g + 5*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 365107406 divided by 5?\nAnswer: 365107406\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**3 - 11*v**2 - 3*v + 2. Let r be k(3). Let w(t) = -2*t**2 + 0*t**2 + 7 + r*t**2 - 10 + 6*t - t**2. What is w(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -2\/55, -2598 in ascending order.\nAnswer: -2598, -2\/55, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*l + 30690 = -77*l. Calculate the least common multiple of l and 2.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/11 + (-315)\/(-99). Suppose z*u = 4*c - 42, -5*c + 4*u + 52 = -0*u. List the prime factors of -123*(c\/(-3))\/12.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*s + 43. Solve 13*k - s = 9*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.9, 0.7, -0.403, 0.025?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1080052 divided by 1\nAnswer: 1080052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5 + 15, 0 = 3*o + 5*c - 33464. List the prime factors of o.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 9*k**3\/2 - k**2 - k - 987. Let i(j) = 2*j. What is f(i(u))?\nAnswer: 54*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwmb when four letters picked without replacement from {x: 5, b: 6, w: 4, m: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 620 and 308.\nAnswer: 190960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - r = 2*r - 13, 3*r = 5*f + 5. Suppose -8 = f*s - 2. Which is the closest to 2\/5? (a) 0 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6b3 + 6?\nAnswer: 6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/1 - 2 - 65. Let z = -38 - h. Let b = z + -18. Calculate the remainder when 20 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = o - 398 + 397, -3*w = 2*o + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 952721 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2677)\/(-9))\/((-17192)\/31722). Let g = n + -5\/8596. Let a = g - -542. Calculate the common denominator of a and -13\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 9*k**2 + 246*k + 94. Determine j(21).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**7\/63 + 11*s**6\/45 + 47*s**5\/30 + 97*s**4\/18 + 32*s**3\/3 + 12*s**2 - 72*s. Suppose i(x) = 0. Calculate x.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/153)\/(125\/1575) - 2004\/15.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 2*d - 732. What is the units digit of d\/(-9) + 4\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 9735*o = -9736*o + 45, -2*x - 2*o = 30 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 199096005491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 - 7\/(14\/8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 18*o**2 - 22*o - 25. Let s be z(-19). Let k be s\/6*135\/12. Suppose -k = 13*a - 16*a. Calculate the remainder when a is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23, 26, 5, -46, -133, -262, -439, -670?\n\"Answer: -y**3 - 6*y**2 + 28*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d**2. Let y(k) be the third derivative of k**7\/5040 - 4*k**5\/15 + 11*k**2. Let r(g) be the third derivative of y(g). Determine j(r(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.4 + -6.8. Let d = -14.20000064 - y. Round d to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 176, 47?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 75547592 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = -3*i, 8*q - 6*q = 8. Suppose 24 = -5*l + 4. Calculate the remainder when 214 is divided by (4 + (-108)\/l)*(i - -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8159940 and 4964.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 - 61*z**2 + 3672*z - 72900.\nAnswer: (z - 75)*(z - 54)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3)*1463\/(-133).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3, -20, -51, -96?\n\"Answer: -7*v**2 + 4*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -342751c + 3?\nAnswer: -3427519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-39)\/52)\/((-3)\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.7 + 4.7. Let s = 5 + w. Let v = -0.002 + 0.402. What is the third smallest value in v, -1, s, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8819\/3 - 2904. Let y = k - 36. Let m = 0.2 - 5.2. Which is the second biggest value? (a) m (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n - 3*k + 15, 34 = 2*n - 4*k. Are 11 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 less than 28024501730?\nAnswer: 28024501731.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k = -21*k - 16. Suppose -l - 14 = 3*r, -9 = 5*r + k. Is 607 - (-10 + 5) - (-3 + l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/1410619, -1\/2, -0.06 in increasing order.\nAnswer: -1\/2, -0.06, 1\/1410619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 2*a - 1. Let h be b(-3). Suppose -h*d = -4*d + 6. Let t(k) = -2*k**3 - 4*k**2 - 3*k - 2. Let v be t(-2). Are v and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13820737 to the nearest integer?\nAnswer: 3718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.26981 to the nearest integer.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -181, -299, -453, -655, -917, -1251?\nAnswer: -1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y**3 + 10422*y**4 - 10427*y**4 - 12*y**2 + 45 + 115 - 120*y - 8*y**2 = 0 for y.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeffeeeffeeef. Give prob of picking 4 e.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 115877417443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/12 + (-278)\/(-6). Suppose 2*z - 3*z = -103. Let a = z - u. Calculate the greatest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -49*m + 17. Let y be x(-1). What is the greatest common factor of y and 693?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.9 - 7.4. Which is the nearest to -5? (a) 2 (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j - 5. Let k(v) = -5*v - 4. Let l(w) = 4*a(w) - 5*k(w). Let o(m) = m. Let d be -5 - ((-72)\/27)\/((-2)\/(-3)). Give d*l(p) + 4*o(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14549038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 12 = 3*x. Let u = -31 + 29. Let z = u + 1. Let r(l) = -l**2 - l - 1. Let s(k) = -2*k**2 - 4*k - 4. Determine x*r(m) + z*s(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*150*241\/(-110860)?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23625 - 28\nAnswer: 23597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11111?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) 2\/33 (c) 2 (d) -0.169 (e) -0.249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*h + 56*h + 15*h. Factor 0 - 11\/4*q**3 + h*q - 1\/4*q**4 - 5\/2*q**2.\nAnswer: -q**2*(q + 1)*(q + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t - 32*t + 5*t to a*t + h and give a.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + y = 598, -3*h + 396 = -2*y - 501. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 35*i - 7*i**4 - 10*i**4 - 33*i to the form x*i**4 + l*i + h + w*i**2 + t*i**3 and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 268a9b2 (base 13) to base 3.\nAnswer: 211211110000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -175. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7)\/u)\/u**(-3))**21\/(((u*u**(1\/4))\/u*u)**(3\/20)*(u*u**1*u)\/(u*u\/(u*u**(-1\/5)\/u))) assuming u is positive.\nAnswer: u**(-8479\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*v + 5*v - 1 - 199. Let j be (-2)\/(-8) + 170\/(-8). Let g be (-1*6\/v)\/(j\/(-6)). Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkvxxxxexoxee. Give prob of picking 1 x and 1 v.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 7*g**3 + 3*g**2 - g**2.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - p - 23, -3*p = -4*d - 6*p - 2153 + 2110 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**2 - 4*c - 3. Let a be v(3). Let d = 53 + a. Calculate the remainder when d is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22338 - 12342. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1267\/38 + 14469\/418. Suppose 2\/11*t**2 - h + 12\/11*t = 0. Calculate t.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 1:33 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9437656, 9437655, 9437652, 9437647?\nAnswer: 9437640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -47, 94154, -10 in increasing order.\nAnswer: -47, -10, -5, 94154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*i, 6*i = 5*i. Solve -50 = 10*p - a*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**2\/2 - 5*i + 8. Let w(c) = c - 6. Let r be 4 + (1 - (-2 + 1)). Determine r*v(g) - 5*w(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 2:34 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/8, 19.3, -1 in ascending order.\nAnswer: -1, -0.4, -1\/8, 19.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 146546169067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - (-1 + 11 - (230 - 181))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i = -51*i - 480. Suppose -23*v = -25*v + i. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 - 5*t**2 + t**2 + (0 + t + 0)*(-3 + t + 3).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 2*b. Let d(x) = -16*x**2 - 24*x. Let i(a) = d(a) - 12*q(a). Let h(f) = -4 + 0*f**2 + 2*f**2 + 3. Give i(h(w)).\nAnswer: -16*w**4 + 16*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddxxdxxddxxd. What is prob of picking 4 x?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 84170 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 14*m**3 - 219*m**2\/2 - 20*m = 0. Calculate m.\nAnswer: -5\/28, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17386132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 1 - 6*p + 2*p + 3*p)*(-3*p**2 - 20*p**2 + 7*p**2).\nAnswer: 16*p**4 + 16*p**3 - 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7033969 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsu when three letters picked without replacement from sssswwswusbsw?\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (87*o - 45*o + 46*o)*(17*o**2 - 9*o**2 + 6*o**2) + o**3 - o + o to u*o**3 + a*o + c + d*o**2 and give u.\nAnswer: 1233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8278730626735?\nAnswer: -8278730626734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*t - 189*t = 50 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -0.3, -0.43, -29, 1\/5, -1\/2?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12547946\/3647 - -26\/521. Let u = m + 3448. Find the common denominator of (16\/(-30))\/(6\/(-80)) and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-3 - -1 - -1)) + 0. Let k be (((-18)\/(-4))\/(3\/(-6)))\/w. Which is the smallest value? (a) 0 (b) k (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26350 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -9296.4?\nAnswer: 55778.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - -40.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 0 + 7\/2*w**2 - 1\/3*w**3 + 4*w. Let u be q(5). Which is the second smallest value? (a) u (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/19 (b) -0.4 (c) 180792\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d. Let i be x(-1). Let p = 110 + -593\/5. Let n = p + i. What is the common denominator of -49\/8 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-18 - -8) - 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -43*i - 367. Let a be u(-9). Calculate the highest common divisor of a and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-12)*f**(-3)\/f*f**(-2\/41)*(f*f**11\/f)\/f assuming f is positive.\nAnswer: f**(-248\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = -4*o - 2*i - 185, -i = -4*o - 447. Is o < -2124\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41336 (base 14) to base 11.\nAnswer: -a7a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 585*f + 584*f - 9, -5*c = 5*f - 3*f + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481756941 - 40575*f**2 - 76472057273 - 109755375*f - 22972462793 - 5*f**3 = 0.\nAnswer: -2705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -2)\/(10\/(-4)). Let w = 6.18 + -5.68. What is the biggest value in -4, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 4. Let k(s) = s. Let j(u) = -3*u**2 - 9*u - 3. Let o(z) = -j(z) - 4*k(z). Is 15 a factor of o(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -94338*h + 94334*h, 14*b + 426 = -2*h for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-404)\/(-1) - 1\/((-1)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307326481 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 10. Suppose -5*w - 23 = -3*v - 1, 4*w + 8 = 0. Let b = -4 + v. Let y be d(b). What is y rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 5. Let t = 11 - 14. Let o = -3 - t. Determine i(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27588291 - -33.3.\nAnswer: 27588324.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 50\/503, -2, -0.27 in descending order.\nAnswer: 50\/503, -2\/11, -0.27, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**6\/120 + 7*t**5\/60 - 5*t**4\/8 + 3*t**3\/2 - 7*t**2. Determine k so that n(k) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 - 2*j**2 - 2*j + 2. Suppose 16 = -0*n + 4*n. Calculate the least common multiple of n and a(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/(m\/m**(-1\/41)))**22 assuming m is positive.\nAnswer: m**(-2728\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.653821 centuries in years?\nAnswer: 865.3821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20208 - -28669. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 0*q + 5128 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a century?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 + 31998*r - 1589914. Calculate k(50).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1262963737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1 - 877*m + 879*m + 5 + 21. Let y(u) = -5*u - 50. What is 7*s(a) + 3*y(a)?\nAnswer: -a + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*u + 2*u. Suppose 0 = -u*f - 0*f + 46. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 218, 460, 10, 4 in increasing order.\nAnswer: 4, 10, 218, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 68 = 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/78 + (-310)\/(-6045)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p + 82579 = -40646. Which is bigger: p or -3976?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 4*s + 8, 28*l - 5*s + 11 = 148. Suppose 13\/4*r**2 + 0 - 3\/2*r + 1\/4*r**5 - 1\/4*r**l - 7\/4*r**3 = 0. What is r?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 4*m - 2*m)*(2*m**3 - 3*m**3 - m**3) - 12*m**4 - 322 + 322.\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 32*m**2 - 12*m + 7. Let i be k(3). Let v = 456 - i. What are the prime factors of v?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460592.5 kilograms in milligrams?\nAnswer: 460592500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22 + -21 - (-3 - 1). Find l, given that 9*l**3 - 5*l**g + 47*l**3 + 36*l + 24*l**4 + 64*l**2 + 8 + 6*l**5 + 3*l**5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1680\/(-224))\/((-1)\/2). Solve 5 = -2*c - v, 0 = 5*v - j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 7*q - 8. What is the units digit of m(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - s + 3*s)*(-2*s**2 + 3 - 3) - 30*s**3 + 3*s**3 - 3*s**3 + (-s - 2*s + 4*s)*(-4*s**2 + 2*s**2 + s**2).\nAnswer: -29*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395721.4g to micrograms.\nAnswer: 395721400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.06 + -2. Let d = 0.056 - c. Round d to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**5\/20 + d**4\/24 + 3*d**2. Let c be u(-1). Solve c*w + w = 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3*r - 52 = -2*h - 160, -3*h = r + 817 - 839 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220121 + -11000?\nAnswer: -1001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/5 of a centimeter?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2.6. Let p = -8 - -9.8. Let g = 2 - p. Sort i, 1, g in ascending order.\nAnswer: i, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 5*n - 14, -88*b = -83*b - 4*n - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + q + 379*q**3 - 363*q**3)*(-2 - 3 + 6 + 1 + 1 - 4 - 4 + 4 - 1 + (-3 - 1 + 3)*(2 - 4 + 0) + 0 + 0 - 1 + (-1 - 2 + 2)*(4 - 2 + 3)).\nAnswer: -96*q**3 + 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*b - 31 = -90*b + q, -q - 3 = 0 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 0*a**3 - 4 + a + 1\/12*a**4 - a**2. Let t(l) be the first derivative of u(l). Differentiate t(b) with respect to b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*q**2\/7 + 47728*q\/7 - 1105884\/7.\nAnswer: -4*(q - 2363)*(5*q - 117)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2103?\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 112, -277, -666, -1055?\n\"Answer: -389*c + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*l - 51*l + 35*l + 3 - 3 + 2*l + (0*l - l + 3*l)*(-2 + 6 - 2) + 3*l - 3*l - 2*l - 4 - l + 4.\nAnswer: -64*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3 + c + 0 + 5. Let f(x) = x**2. Let m be f(1). Let u(a) = a + 1. Let q(b) = m*h(b) - 2*u(b). Let l(n) = 4*n. Calculate q(l(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1803 and 854021?\nAnswer: 2562063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 10*s = 3*j - 35, 4*s - 39 + 74 = -15*j + 38 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by -2.\nAnswer: -73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 423 = -5*x, -x + y + 27 = -58. Let c = 9 + -4. Let g(h) = h**2 - h - 3. What is the remainder when x is divided by g(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -791 - -791. Let t = -4\/17 + -158\/51. Put -0.3, y, t in decreasing order.\nAnswer: y, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -45. Let x(t) = -y - 11*t + 12*t + 1. Give x(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5502 and 47656.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 413483.9l in millilitres?\nAnswer: 413483900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -357 - -364. Suppose -b*z = -z - 738. Calculate the smallest common multiple of z and 3.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-11)*(-28)\/42.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 5. Give r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 bigger than -759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -45*n**3 - 6*n**2 - 3*n - 5. Let x = 82 + -85. Is d(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 832 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63175 and 5450.\nAnswer: 13772150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 412 - 411.6. What is the smallest value in -4, w, -382?\nAnswer: -382","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -59.3, -4\/27, -5, 3?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 2*l**2 + 1. Let q be i(-1). Let n = q - -3. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -406059.851 + 405849. Let y = a - -211. Round y to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 10:33 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 67 - 2 + 227 - 604*h + 4*h**2 + 23 + 285.\nAnswer: 4*(h - 150)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*g**2 - 105030 - 239*g**2 + 105030.\nAnswer: -159*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -23*b**3 + 26*b - 17. Let t(l) = -1 - 6*l**3 - 2*l**3 - 5 + 9*l. Let u(c) = -17*t(c) + 6*x(c). What is the second derivative of u(y) wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 88832*z + 986390528.\nAnswer: 2*(z - 22208)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -204, -1992, -5350, -10278, -16776?\n\"Answer: -785*f**2 + 567*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 0. Let o = t - -3. Solve o*x + 3 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2, -2*x = 11*z - 8*z + 16. What is the second biggest value in -0.5, 2, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v - 16. Let o(t) = 2*t + 14. Let k be o(-10). Let m be f(k). Calculate the greatest common factor of 130 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -229 + 242. What is the greatest common factor of o and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2080, 0, -5, 5, -1 in increasing order.\nAnswer: -2080, -5, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*v + 9, -216*v + 24 = -212*v + 4*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1196*w*y - 13*y + 2 wrt w.\nAnswer: 1196*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxa when four letters picked without replacement from xtgtxttagx?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5506489.\nAnswer: 233, 23633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7177 + 172229\/24. Find the common denominator of b and (-915)\/(-12)*2\/(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164*l**4 - l**3 + 152*l**2 + 2?\nAnswer: 3936*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11837 and 11869129?\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*-2)\/(13 + -15). Solve r*x - 1 - 5 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -776 greater than -775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3660842, -7321813, -10982782, -14643749, -18304714?\nAnswer: -21965677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.7 - 7.7. Which is the second smallest value? (a) 18 (b) r (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 10*a + 12. Let j = 37 - 46. Give q(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132 + 395 - 204)*(g - 4*g + g).\nAnswer: -646*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 308.13 + -307.83. Let p = 36 - -42. Which is the third smallest value? (a) 0 (b) p (c) 2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 170*p + 501.\nAnswer: (p + 3)*(p + 167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13800601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -609380, -1218735, -1828090?\nAnswer: -2437445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17, -12, -3, 10, 27, 48?\n\"Answer: 2*c**2 - c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 1979 + 3873 = 0. Let i = q + -266. Solve 0 = -5*u - 15, 0 = 5*x + u + 3 - i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -13 - -4) + -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 7*l**5\/12 - 7*l**4\/6 - 4*l**2. Find the second derivative of x(j) wrt j.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 10015589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 5*x**2 + 12*x - 33. Calculate p(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28\/((-476)\/255)*(-4)\/10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 180*a - 7615. Calculate b(112).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 165 = -248. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*h**3 + 711*h**3 - 776*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 10. Let l(b) = -b**2 + 12*b + 9. Let v be l(q). Let u(n) = n**3 + 5*n**2 + n - 3. Let o be u(-3). Calculate the highest common factor of v and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, -1, 491022 in increasing order.\nAnswer: -1, 129, 491022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {o: 1, z: 1, u: 1, b: 1, w: 2, t: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -9766, -4.6, -0.2, -2, 3.\nAnswer: -9766, -4.6, -2, -0.2, 0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4527 (base 10) to base 8\nAnswer: -10657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 25. Solve 1 = -h*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*sqrt(720))\/((sqrt(400) - sqrt(400)*2)*2).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1410940*h**3 + 2821835*h**2 + 1410850*h - 45 = 0.\nAnswer: -1, 9\/282188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*f - 4, 16*z - 20*z + f - 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-44)\/(-12) - 4)*18*(-4)\/(-64)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2935581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -3*k - 54. Calculate the highest common factor of 54 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243044445379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*2\/(-4)*4. Suppose -m*n + 30 = -3*n. Let v be 0 - (-2 + (-16)\/2). Calculate the greatest common factor of v and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161 and 3910?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**3*i**2*l**3 - 3*f**3*i**2 + 152*f**3*l**3 - f**3*l**2 + 2*f*i**2 + 35*i**2*l wrt l?\nAnswer: 18*f**3*i**2 + 912*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*o - 41, 10*z - 5*z = 4*o + 9. Put 5, -5, o in decreasing order.\nAnswer: 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + (1 + 3 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117 + 117.55. Let s = c + -3. Let q = 2.4 + s. Which is greater: q or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 6*j - 363. What is the remainder when 75 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1892 and 9812.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2724 and 448?\nAnswer: 305088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12796 + 28607. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.448 less than 392?\nAnswer: 390.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 - 10*x + 7. Let f(a) = 5*a**3 + 11*a - 8. Calculate -5*f(w) - 6*i(w).\nAnswer: -w**3 + 5*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(275) + sqrt(275))*-1)\/(sqrt(20)*-1 - sqrt(5)))\/((sqrt(60)\/(sqrt(6)*-1))\/(sqrt(32)*6 - sqrt(2))).\nAnswer: 23*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16830631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64108 and 1551?\nAnswer: 192324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 8*x - 9. Let i be t(-6). Let k(d) = 0 + 0 + 0 + 3 - 3*d. Give k(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15050399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1625*m**3*u**2 + m**2*u**2 - 718*m**2*u wrt m.\nAnswer: 9750*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (184\/3)\/((-4)\/(-130434)). Suppose t = 4*i + 3*v, -5*i + 2*v + 198361 = -2301647. Round i to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1874268.\nAnswer: 2, 3, 11, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/24*(0 - -8). Solve 2*x - 4*x - 7 = n*p, -5*p - 4*x = 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((7 - 7) + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.08705 + 0.08705. Sort -3\/7, -0.06, -0.3, -0.1, z in decreasing order.\nAnswer: -0.06, -0.1, -0.3, -3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 8. Let z = v + -2. Factor -2\/9*k**5 + 0 + 2\/9*k**3 + 2\/9*k**4 - 2\/9*k**z + 0*k.\nAnswer: -2*k**2*(k - 1)**2*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 188*q - 79*q + 25 - 98*q. Calculate v(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38294.33 rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z**1*(z**(4\/11)*z)\/((z\/z**(-6))\/z*z))**(-3\/10) assuming z is positive.\nAnswer: z**(-6\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 3048?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 7 = 5*f + 2*u, -u + 5 = 3*f. Let q = f - 3. Solve -3*p + 3*m - 18 = q, -2*p = -0*m + m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 - 5*c - 1. Let x(m) = m. Let r be 2*(24\/(-6))\/8. Let j be ((-5)\/(-4))\/((-1)\/4). Let o(n) = j*x(n) + r*l(n). Differentiate o(s) wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178314 divided by -6.\nAnswer: 29719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*o + 10 = -3*x, 5 = 3*x - o. Let s(w) = 647*w - 7120. Let b be s(11). Sort 2\/13, x, b, 0.2.\nAnswer: b, 2\/13, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/(4\/(-30)). Let q = 9 - r. What is the second derivative of -5*l**q - 2*l**4 - 5*l + 3*l**4 wrt l?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 930\/124*4\/(-5)*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -862\/7 or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 4:40 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 - -1.38. Let r = s - -6.5. Let j = 2.92 + 0.08. Which is the second smallest value? (a) 0 (b) r (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 376 - -474. Does 28 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 1687977?\nAnswer: 6751908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkmnm. What is prob of sequence nn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -26*280\/(-102960)*22\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 12) to base 2.\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 23 = -12. Let k = 7 + c. Suppose r - 2 - 2 = k. Solve 7 = r*u - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 + -103. Solve -5*w - u = 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 3906?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 882, 878, 872, 864?\n\"Answer: -u**2 - u + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*-4 + -2. Let a = -6 - h. Suppose -5*l - 7*g + 4*g = 5, 3*l + 4*g = -14. Put l, a, 1 in decreasing order.\nAnswer: l, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 17*t + 49619 = 4*t. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 7*n + 5. Let k(p) = 4*p**2 + 15*p + 11. Let o = -297 - -301. Suppose 5*l + 2*t + 25 = 4*t, o*l = 3*t - 13. Determine l*u(d) + 3*k(d).\nAnswer: -2*d**2 - 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*m - 16, 4*n - 6*n + 4*m - 8 = 0. Let f(r) = -r**3 + 4*r**2 - 3*r + 1. Let i be f(n). Solve -i*v = 3*t + 15, 3*t + 20 = -t + 5*v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/1 + (1 - 0). Let o = 26 - v. Calculate the remainder when o is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from {i: 2, b: 1, d: 1, h: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47 or 43.9317?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47020484, -94040965, -141061446?\nAnswer: -188081927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 11, -87, -0.5, 19\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2167*m = -9476 - 38198 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v*v**(-3\/2))))\/v)\/v*v*v)\/v**(-5)*(v**0\/v)\/v*v**(-2\/7) assuming v is positive.\nAnswer: v**(31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 + 575594572.\nAnswer: 575594531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = -2*q + 6*k + 22, 59 = 5*q + k. Suppose -q - 24 = -9*o. Let x = 8 + -5. Solve b - o*b - x = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -2\/13803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76199 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020923705 less than 275?\nAnswer: 274.979076295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38615249*l**3 - 1552735*l?\nAnswer: 231691494*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115 - -155. What is the lowest common multiple of j and 216?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100854803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 12:19 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -11*n. Let y(g) = -27*g. Calculate i(y(s)).\nAnswer: 297*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 192 - 88. Suppose -4*h = -o + 24. Suppose 5*u - 315 = 5*s, -367 = -5*u + 3*s - 62. Calculate the remainder when u is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 4. Let m(t) = 1. Let h(q) = 4*m(q) + v(q). Let w(g) = -4*g. Let y(f) = -3*f. Let u(i) = 5*w(i) - 6*y(i). Determine u(h(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u - 2*z - 5, -2*u - z = -5. Suppose -4*d = -u*d. Suppose -3*o = -d*o. Solve o = 4*a - 3*a + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 + -1 - (-67 - -90)) + 30 + -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30730 is divided by 2002.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 60 = 5676*g - 5680*g, -3*g - 4*o = -25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 202 and -15234?\nAnswer: -3077268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -248 in -6, 2, -2\/5, -1\/9, -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -39 and 2\/29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40471247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -3, 3\/5, -6\/13, 43, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*v = -1048 - 483 - 1087 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -601*w + 199*w + 30*w**2 - 2 + 201*w + 201*w.\nAnswer: 30*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8 + 1 + 17420*l**2 - 17422*l**2. Let w(d) = -4*d**2. Determine w(r(i)).\nAnswer: -16*i**4 - 112*i**2 - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/39 and -101\/312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1128.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 844053.44 rounded to the nearest 10?\nAnswer: 844050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*c - 20 = 120*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/8*60\/(-90).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b = 625. What is the highest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*1*(sqrt(1029)*4)\/(sqrt(49)\/(sqrt(14)\/sqrt(2))).\nAnswer: 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t - 14*t + 7*t - 12*t. Let g(x) be the third derivative of -x**4\/24 - 2037*x**2. What is q(g(p))?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -3\/646 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 f when three letters picked without replacement from ffvgfssxvjgf?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 21 - 4\/(-7)*10.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -2*d**8\/3 + 9*d**4\/8 + 45*d**2. What is the second derivative of o(t) wrt t?\nAnswer: -4480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0. Let m = 69 - 68.8. What is the second smallest value in n, -3, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 equal to 129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -214797914 or -214797916?\nAnswer: -214797914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 1 - 11)*(9 + 10 - 23)*(6*i - i + 0*i) in the form j + x*i and give x.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a - -1?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2 + 88*p**2 - 86*p**2 - 2. Let o(m) = -m**2 - m. Let u = -5 - -3. Let s(j) = -10*j**2 - 3*j. Let a(r) = u*s(r) + 6*o(r). Determine a(y(n)).\nAnswer: 56*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 4, q: 2, e: 1}. Give prob of sequence qq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6466300 to the nearest 100000.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4411*x**2 - 272*x - 2116. Let v(d) = 8821*d**2 - 476*d - 4231. Let a(s) = 7*g(s) - 4*v(s). Differentiate a(k) wrt k.\nAnswer: -8814*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, z: 4, u: 8}. What is prob of sequence qqq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 0, 77, 252, 561?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43973349?\nAnswer: 3, 7, 59, 35491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let y(f) be the first derivative of -7*f**2\/2 + 7. Determine c(y(b)).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28421169, -56842336, -85263503, -113684670, -142105837?\nAnswer: -170527004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 2. Let m(o) = -2. Let x(u) = -2*a(u) + 2*m(u). Let q(v) be the first derivative of 19*v**3\/3 - 28. What is x(q(i))?\nAnswer: 38*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - 54377*a**2 + 5440*a**2 - 73038*a**2.\nAnswer: 3*a**3 - 121975*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(65\/10 - 6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27346501?\nAnswer: 7, 13, 300511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -4*j + x, 637*j = 647*j + 5*x + 235 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x**5\/3 + 106*x**4\/3 - 266*x**3\/3 + 302*x**2\/3 - 160*x\/3 + 32\/3 = 0. Calculate x.\nAnswer: 4\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9 + 0*t**3 - 4*t**2 - t**3 + 3*t + 2*t - 2. What is the units digit of p(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21711 is divided by 5426.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 78*n**2 - 132*n - 2229. What is z(80)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -123011 (base 5) to base 16\nAnswer: -1294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 - 2*a**2\/5 + 42*a\/5 + 18.\nAnswer: -2*(a - 5)*(a + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 plus 127316?\nAnswer: 127304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5*c = 4, 4*u + 8 = -3*c + 5*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 154?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 5*m = -26, -2*u + 6*u - m = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-2 - 1 - 11)*(4*s - 4*s - 2*s**4).\nAnswer: 84*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -5375.\nAnswer: -1\/1075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3 and 58\/47495055.\nAnswer: 47495055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 56*o. Let i(s) = s**2 + 3*s - 3. Let z be i(-5). Let g(u) = -2*u + 4. Let c(q) = -4*q + 7. Let v(m) = z*g(m) - 4*c(m). Give v(k(f)).\nAnswer: 112*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence peee when four letters picked without replacement from peeppex?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(1176) - 3*sqrt(1176) - sqrt(1176)) + sqrt(1176) + sqrt(1176)))\/(sqrt(800) + sqrt(384)\/sqrt(3)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 3*j - 215, -5*t + 63 = -j - 220. Suppose -3*h + v + t = 0, 2*h + 5*v - 55 + 12 = 0. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396 a factor of 3462080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, f: 7}. Give prob of sequence rfrr.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1279, 2521, 3711, 4837, 5887, 6849, 7711?\n\"Answer: -2*q**3 - 14*q**2 + 1298*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523822?\nAnswer: 2, 13, 20147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 326 - 326. Solve u = 3*t - 8*t + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-19))**36\/(u**(2\/17)*(u*u**2*u*u)\/u))**15 assuming u is positive.\nAnswer: u**(-175470\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1388, 5653, 12774, 22763, 35632, 51393, 70058, 91639?\n\"Answer: 2*a**3 + 1416*a**2 + 3*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/24*(-3)\/10?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 10 - 24 + 3*q**3 + 11.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39\/28 + 8\/7. Let a(w) = -4*w + 21. Let y be a(5). Are v and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/6036726 and 10\/11067331.\nAnswer: 66403986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 2. Let i(f) = -1. Let s(j) = 2*i(j) - n(j). Let b(x) = x. Determine b(s(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 24 = -0*d. Let j(l) = 4*l - 3. Let o(w) = -17*w + 13. Let t(g) = -7*g**2 + 5*g + 50. Let i be t(7). Let h = i + 284. What is d*o(r) + h*j(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 o when three letters picked without replacement from {q: 1, c: 6, h: 1, m: 6, b: 1, o: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 754 and 588562?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -45*x**3 + 24*x**2 - 24*x - 24. Let v be 1 - (8 + -33) - -4. Let z be 22 + 2*6*5\/v. Let n(t) = -9*t**3 + 5*t**2 - 5*t - 5. Calculate z*n(y) - 5*r(y).\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1)\/((-2)\/4). Suppose 14 - 6 = h*l. Let x = 5 - 1. Solve -5*m + g + 1 = 6, l*m - 5*g = -x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33899 (base 10) in base 12?\nAnswer: -1774b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 - (-36)\/8. Solve -2*a = -d*p + 3*a + 9, 3*p + 5*a = -37 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 47204*d + 47204*d. Let r(x) = 8 + 0 - 4 + 4*x. Give l(r(j)).\nAnswer: -16*j**2 - 32*j - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrr when three letters picked without replacement from rrorrorrhroor?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*u + 272 = 59*d - 2*u, -5*d - 53 = 5*u + 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from miimozzmiimiz?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 12:39 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*u = -8*s + 4, 2*u + 2 = 4*s. Suppose 0 = -4*k - s*k - 332. What is k rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 477.319 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -401*v + 65440. Give t(164).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(2*y**2 - 3*y + 3*y) + y**2 + 0*y**2 - 2*y**2 + (0*y + y - 3*y)*(1 - 1 - y).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/((-9936)\/(-19869) + ((-14)\/4 - -3))?\nAnswer: 2, 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*r + 1 - 10, -2*g + 7 = -r. Suppose 2*j - 3*n = 18, 22 = g*j - 3*n - 2. Calculate the highest common divisor of 36 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16477, -4, -2, -42, -5 in descending order.\nAnswer: 16477, -2, -4, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5 - 12 + 4*b + 0. Suppose 5*n = -2*s + 87, 1 + 5 = 2*n. Suppose -10*w - s - 24 = 0. Let h(v) = -7*v + 13. Determine w*h(z) - 11*l(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-18)*5\/(-33 + 8).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 797843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45859, 45860, 45861, 45862, 45863?\nAnswer: 45864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, -157, -667, -1661, -3301, -5749?\nAnswer: -9167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9*q**3 - 4*q**2 + 1. Let m(c) be the second derivative of -9*c**5\/4 + 7*c**4\/4 - 3*c**2 + 285*c. Give 21*j(r) + 4*m(r).\nAnswer: 9*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 103*w - 882 - 30 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -370, -357, -304, -211, -78, 95?\n\"Answer: 20*i**2 - 47*i - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j - 9. Let f be w(6). Let y be (288\/(-192))\/((-13)\/(-14)*12). Let o = 5\/13 + y. Which is the biggest value? (a) o (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 0 - 10*f - 60*f.\nAnswer: -70*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 3*r - 25. Suppose 5*l - 770 = r*y, 0*l - l + 4*y = -145. Suppose l = 2*s - 3*i, 3*i + 86 = -0*s + s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1582 is divided by 82?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4613169 times 0.2\nAnswer: -922633.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - 1.98. Let n = 142632 - 142635. Which is the third biggest value? (a) 26 (b) o (c) -0.3 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14)\/(9\/(-63)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4618884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(40\/(-10)))\/((18\/20)\/(15087\/(-535)))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15238, -121695, -410640, -973315, -1900962, -3284823, -5216140, -7786155?\nAnswer: -11086110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1447 + 6*a**2 + 1447.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -3.3. Let v = i - 2.7. Which is the biggest value? (a) -0.9 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57679 - 57669. Let r be (-17)\/33 - (-3)\/9. Which is the second smallest value? (a) r (b) -4 (c) -2\/3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: cc2 (base 14) to base 10\nAnswer: 2522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*v + 18 - 22, 10 = -4*p + 3*v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 2*x**2 - 68. Let w be (0\/3*15\/30)\/(1*4). Calculate d(w).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314494 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 6405?\nAnswer: 12810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 6:59 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 21*v**2 - 15*v - 8. Let l(u) = 10*u**2 + 8*u + 4. Let y(i) = 5*l(i) + 2*m(i). Let y(o) = 0. Calculate o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 10:18 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.456 - 0.4?\nAnswer: 207.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y**2 - 5*y - 43. Let i(n) = -17*n**2 + 11*n + 87. Let p(l) = -13*f(l) - 6*i(l). What is the units digit of p(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/16 and 121\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.87907 to 2 decimal places.\nAnswer: -32.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3445, 3, 2, 104, -2, 1 in descending order.\nAnswer: 3445, 104, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d - 12. Let q be b(7). Let y = q + 27. What is the highest common factor of y and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 11*b - 14. Let z be i(9). Let k = 2 + 2. Let g(m) = -m**3 + 4*m**2 + 2*m - 2. Let r be g(k). Solve 2 - r = z*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1427 - -10015. What are the prime factors of f?\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 12) in base 13?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.65 from -0.0033.\nAnswer: -2.6533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*p + 5*f + 38, 0 = -2*p - 5*f + 17. Suppose 5*y - p = -2*k + 5*k, 19 = k + 4*y. Which is the third biggest value? (a) 0.5 (b) -0.8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4037*q - 3934*q - 1236 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7137096 millilitres?\nAnswer: 0.0007137096","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: 14*(19\/(-38) + -3 - (-21)\/3) - -4\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 9:45 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g - 2163*g**2 + 665*g**2 - 3*g - 2*g.\nAnswer: -1498*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffffffcfcffffffffffc.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/18 - 15\/(-9). Suppose -3*u + w + 5 + 2 = 0, w = f. Solve -u*y = -y + m - 10, 2 = y + m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 571100140 to the nearest integer?\nAnswer: 23898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - (139 - 55) - (3 + 15 - 30).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4890.3 - -4892.3. Let y = 25\/58 + 2\/29. Let t = 1 - y. Which is the nearest to f? (a) 0 (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 727535.0111 - 727667. Let l = 9.9 - 141.9. Let o = p - l. Round o to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 7:20 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/12 + (-172)\/24. Which is smaller: -8 or s?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 41.4. Which is the second biggest value? (a) o (b) -2\/5 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*(2 + -1 + -2). Suppose -2*q + t*q - 55 = 0. Suppose -2*z = 3*n - 7, -17 = -4*z + 5*n + 8. Solve z*y = -2*s + q, 4*s + 19 = 2*s + 5*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 134858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 404 and 10296546?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1311 + 56*j**2 - 16*j + 16*j + 1311.\nAnswer: 56*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*k = -122*k + 48. Suppose k*b - 5*x - 143 = 1421, -2*x + 764 = b. List the prime factors of b.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 24*y - 3. Let o(r) = 16383*r**2 + 4*r + 1. Give q(o(h)).\nAnswer: 393192*h**2 + 96*h + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379*i - 1987456 + 6315636 = 0. Suppose -2*o + 4 = -4. What is the units digit of i\/45 - o\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1423722009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 + 2*q**2 - 3*q. Let v be g(-3). Let d be (-28010)\/9 - 6\/v. Let x = -1282 - d. Round x to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3)*(-3*j + j + 5*j)*(3 - 3 - 1).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -755 = -4*s - g + 565, -4*g = 2*s - 646. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3105 and 1755?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 81508 + 21?\nAnswer: 81530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*x + 43 = 0, 5*d + x - 3*x = 49. Suppose 0 = -g + 2, d + 2 = z - g. What is the remainder when z is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -68\/41, 100, -0.1?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/5 - 2497*d - 13687986\/5 = 0. What is d?\nAnswer: -1014, 13499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 155848 and 2181872.\nAnswer: 2181872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**2 - 93156*l + 465680 = 0.\nAnswer: 5, 23284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l + 31*l = 10425. Let u = 187559\/18 + l. Find the common denominator of -25\/6 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:11 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599978527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2. Let h(b) = -3*b - 75. Give h(z(l)).\nAnswer: -15*l**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -60426 (b) 0.04 (c) -14 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -39*j - 4. Let f be a(-4). What are the prime factors of f\/(-12)*6\/(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12145397 divided by 4?\nAnswer: 12145397\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3259 divide 239396363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 2, -i = -0*s - 3*s + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1373.4 + 4.01461627?\nAnswer: -1369.38538373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 606701219 to the power of 1\/2, to the nearest integer?\nAnswer: 24631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + (0 + 0\/4)*-1. Let d(g) be the second derivative of g**4\/3 - 2*g. Let z(c) = -7*c**2. Calculate j*z(f) - 10*d(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 132246744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2623, -5, 2, 1 in descending order.\nAnswer: 2623, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-4)\/8*-1*(-810)\/(-81).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 493 + -493. Is n not equal to 10\/301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472*m - 754*m + 276*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6315\/255 - 40\/(-170).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 966\/7182*590\/(-6785).\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211122220 - -112?\nAnswer: 211200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77870941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1860, -3824, -5890, -8058, -10328, -12700, -15174?\n\"Answer: -51*c**2 - 1811*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 3*f**2 - 4*f - 2. Let s be u(4). Is (-1)\/s*(-190)\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxiljlllllisllixjls. Give prob of picking 1 j and 1 l.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442622, 442591, 442538, 442463, 442366?\nAnswer: 442247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(((k\/k**(-21))\/k)\/k))\/k**1 assuming k is positive.\nAnswer: k**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + (10 + 56 - 21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7947 = 556*u - 1831 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1616 + 2454. Suppose 20*i = -2*i + w. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -0.02686?\nAnswer: -0.22686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -33\/2*m**2 + 0*m**3 - 8*m + 23\/6*m**4 + 0. Differentiate c(j) wrt j.\nAnswer: 92*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 95878165*h**3 + 211979881 wrt h?\nAnswer: 287634495*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802471537 to the power of 1\/4, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*z**(2\/3))\/z)\/z*z*z)\/z)\/z**(-3\/8))**32\/(z*z\/(z\/(z\/(z\/z**(-2))*z))*z*z*z*z*z**(1\/3)*z)**(6\/13) assuming z is positive.\nAnswer: z**(1204\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 241*u**6\/120 + 2*u**5\/5 - 11*u**4\/24 + 304*u**2. Find the third derivative of j(i) wrt i.\nAnswer: 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7236 and -0.05.\nAnswer: -0.03618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14037 + -14035. Is 165\/163 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 40, -16, 4, -13.\nAnswer: -16, -13, -3, 4, 6, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3888*j**3 + 2 + 8*j + 15*j**4 - 14*j**4 + 3*j**2 + 3884*j**3 as o*j**2 + g*j**3 + f + d*j**4 + q*j and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.94 + 0.06. Let a = 6 - y. What is the closest to a in -4, -0.5, -4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-8)*(0 + 2). Which is the biggest value? (a) 5 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5 - (-3 - (-2 - 0)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000513341 to six decimal places.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwiiwvihviiihiviwiih. Give prob of sequence ii.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 1, -3*n + 3*d + 33 = 0. What is the remainder when 34 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -5, 2, 62 in descending order.\nAnswer: 62, 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2. Let g(k) = -4*k**2 - 23 - 21 - 18*k**2 + 45 - 4*k**2. What is i(g(c))?\nAnswer: -1352*c**4 + 104*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3272716 is divided by 1090881.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 120*z = -125*z - 90, -6*k = -4*z - 110 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30619 is divided by 132?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-3 - 24\/(-8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138863564 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h - 2*h + h)*(14 - 14 - 4*h**2) + (-4*h**2 + 3*h**2 - h**2)*(-6*h + 3*h + h)*(-18 + 5 - 14) to the form y*h + z*h**2 + q*h**3 + b and give q.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -121805 (b) -11 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**4 - 90*s**3 - 165*s**2 + 1900*s - 2340 = 0. Calculate s.\nAnswer: -13, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 4:45 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 + 6 - 6 + 3 + 1 + (0 - 2 + 1)*(-2 + 0 + 3) - 1 - 5 + 4)*(6*v - v - 4*v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = -32. Suppose 0 = 4*m - a. Suppose m*t - 25 = 13. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**5 - j**4 + j**3 + j**2 + j. Let i(m) = -2*m**5 + 2*m**4 + 12*m**3 + 10*m**2 + 5*m. Let w(s) = 3*f(s) - i(s). Factor w(b).\nAnswer: -b*(b + 1)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**4 - 2823*v**3 - 536622*v**2 + 539448*v = 0?\nAnswer: -676, -266, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3568373215 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 13*p = -12*p + 15, 0 = 4*p - 8. Calculate the remainder when 65 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2253*h = 8857*h + 99060 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + -54. Let f be (-10)\/h + 53\/6. Solve w = -5, f = q - w - w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 14) in base 2?\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185067 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -5.75, 3\/2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176514 is divided by 1478?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 35. Let s(j) = j**3 + 2*j**2 + 3. Let l be s(i). Solve -g + l*g = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 5*m = 13*k + 4, 4*k - 36 = -5*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 7)\/8*-10. Let n = 7 + b. Solve -n = -2*k - 0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -19, -0.0423, -0.4, 3\/7, -1, 6\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q*r**2 - 4846*q*r - 15115768*q + 292*r**2 - 14*r + 2 wrt r.\nAnswer: -2*q*r - 4846*q + 584*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 990\/(-40)*40\/(-3). Suppose 8*u + 90 = w. Calculate the remainder when 58 is divided by u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 28 = k, 5*k + 14 = 3*u - 5*u. Let w = -3 - u. Suppose 5*s = 5*t + 630, -w*t = s + s - 264. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24340129.\nAnswer: 11, 419, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 10 = 2*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-64)\/(-8))\/16)\/(2\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -46 (b) -24 (c) -3\/10 (d) -5 (e) 45\/19 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -387482 (base 11) to base 12.\nAnswer: -255138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52504 is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -31*n + 13. Let s(p) = 64*p - 22. Let y(h) = 5*i(h) + 3*s(h). What is y(-1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -2*n**5\/15 + 3490*n**2. Let a(f) = -4*f - 37. Determine k(a(g)).\nAnswer: -128*g**2 - 2368*g - 10952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + 0 + sqrt(1053) - (sqrt(1053)*-1 + -2)))**2.\nAnswer: 216*sqrt(13) + 4248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102 - -28 - 26)\/4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5026981 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(1232\/98 + -13 - 151\/(-385)). Do f and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x + 3*x**2 - 2*x)*(21*x**3 + 4*x**3 + 12*x**3).\nAnswer: 111*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*z - 194*z - 1 + 68*z + 590*z to the form q*z + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/126201037?\nAnswer: -1\/126201037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(136))\/sqrt(8).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -313, -5.\nAnswer: -313, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - -11?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9084*q**3*z - 13369*q**2*z wrt q?\nAnswer: 54504*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -685 divided by 11476.\nAnswer: -685\/11476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 15 + 2)*(0*i**2 - i**2 + 5*i**2).\nAnswer: -132*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 348 + -158. Let b(x) = 2*x + 7. Let i be b(0). Let t = y - i. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*k + 3*k. Let q be 0*(2 + k\/2). Solve q = c + 4*c + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b2 - 9d4?\nAnswer: -aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 5:35 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y + 1. Let o(l) = 250*l + 147. Let u(d) = -o(d) - 6*t(d). Find the first derivative of u(x) wrt x.\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 944643734 to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 7*p**2\/2 + 2*p - 102. Suppose 3*t + 2*c = 7*c + 34, 2*c = -5*t + 5. Is v(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 44213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h**3 - 1229*h**2 - 226*h + 4319. Determine q(205).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (799*n - 390*n + 3 - 246*n)*(-1 + 0 + 3)*(5*n - n - 6*n)*(0 - 2 + 0).\nAnswer: 1304*n**2 + 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 575 - 391. Suppose 3*r = f - 23, 5*f + 7*r - 115 = 3*r. Calculate the greatest common factor of f and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 4 - 13\/((-13)\/(-8)). Put 5, -4, -5, 4, j in descending order.\nAnswer: 5, 4, j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 548924938 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**3 - 3*u**2 + 2. Let d(z) = -11*z**3 + 7*z**2 - 3. What is 3*d(y) + 7*s(y)?\nAnswer: 2*y**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2814 divided by -42.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180913 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 14*f - 6090 = 0. Suppose 2*k + 1425 - 215 = n, 2*k + 3*n = -f. Let d = 997 + k. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 15*g**2 + 2*g. Suppose -5*j - 5*j = -150. Let z(q) = 105*q**2 + 15*q. Determine j*p(y) - 2*z(y).\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-5)*(-455)\/364)\/12.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*a*g - 5*a*n - 4*a - 62*g*n + 2*n with respect to a.\nAnswer: 13*g - 5*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 516823781.2 to the nearest 10000.\nAnswer: 516820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 7 = -4*x - 5*u, 2*x - 33 = -3*u. Suppose -8 = d - x. Solve q - d = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**1)**(-6\/17)\/(u\/u**6*u)**(-2\/13) assuming u is positive.\nAnswer: u**(-8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (143\/(7221786\/(-684)))\/(-3)?\nAnswer: 2\/443","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1\/8, -4, -0.063?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 32 + 3*x - 3*x**2 - 50 + x**2 - x. Let h be z(0). What is the units digit of (-1 + 4)\/(h\/(-444))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**3\/2 - d**2\/2 + 178*d. Let k(m) = -m**3 + 3*m - 2. What is 2*k(j) - 3*q(j)?\nAnswer: -2*j**3 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45.2 - 45.1602. Let m = u + -5.8598. Let g = m + 0.82. Sort -2, g, 0.3.\nAnswer: g, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 4 - 8)*(w**4 - 1812*w**3 + 1812*w**3 - 3*w).\nAnswer: -16*w**4 + 48*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 21010330231122?\nAnswer: 21010330231133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99072652 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275874959.\nAnswer: 275874959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1377) + -6*sqrt(1377)*-1)**2 + 2*sqrt(1377) + -4 + (sqrt(1377) + (sqrt(1377) - (2 + sqrt(1377) + sqrt(1377) + 0)))**2*6 + 3).\nAnswer: -269984 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + -5)\/((-4)\/2). Find the second derivative of -5*x - 25*x**4 + 25*x**4 - 2*x**g wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45a45 (base 14) to base 6.\nAnswer: 3344141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 554164 - 554164 - 1290*d.\nAnswer: -1290*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443676 is divided by 443675.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 984*(8 + 56\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(135) + -3*sqrt(135)))\/(sqrt(10)\/sqrt(2)*1*3).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*x**5 + 93*x**5 - 47*x**5 + (-3*x**4 + 3*x**4 - 2*x**5)*(3 - 1 - 1) + 0*x**5 + x**5 - 3*x**5.\nAnswer: 79*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1903 divide 23333251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 4:03 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -219 + 214. Which is the nearest to -0.1? (a) u (b) 4 (c) -1\/52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 163383304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**3 + 22*a**2. Let c(z) = -z - 1. Give 5*c(y) - w(y).\nAnswer: -5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 + 5*i + 86. What is the tens digit of v(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 6146010.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and (-6*(-20)\/(-16))\/(1\/(-12)).\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2 + 11*j + 4. Suppose -1727*x + 1736*x - 45 = 0. Let w(h) = 5*h**2 - 12*h - 5. Determine x*w(u) + 6*a(u).\nAnswer: u**2 + 6*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1469 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54.3 + 49. Let m = 12 + -7. Let j = m + s. Which is the closest to 2\/7? (a) 2 (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 15 = 0, -2*a - s = -2*s + 17. Let w(z) = 3*z**2 + 2. Let g(x) = 10*x**2 + x + 7. What is a*w(u) + 2*g(u)?\nAnswer: -u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*v - 0*v - 22, -5*v - 55 = -5*x. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2210122011 + 1221?\nAnswer: -2210120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*h**5 - 435*h**4 + 663*h**3 - 9*h**2 = 0 for h.\nAnswer: -3, 0, 1\/73, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4238863 divided by -12?\nAnswer: 4238863\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/9 + 2*s\/3 - 40\/9.\nAnswer: (s - 4)*(s + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1161714.25 to the nearest ten thousand.\nAnswer: -1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1\/3, -4, 0.063, 0.3 in decreasing order.\nAnswer: 2\/3, 0.3, 0.063, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*5123.\nAnswer: 25615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1573) + 3 + 4 + 1 + sqrt(1573))**2.\nAnswer: -176*sqrt(13) + 1637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*w - 29 = 0, -14309*c + 14304*c + 4*w + 38 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*k - 47, 23*y = 28*y + 5*k - 145. What is the highest common divisor of y and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97170 and 1722.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 671 and 5487163?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444 divided by -6.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 105*a**2 - 208*a + 92. Let y be r(103). Let t be 217 + (1 - (-2)\/(-2)). Let g = y + t. What are the prime factors of g?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 + 4*w**2 + 4*w + 3. Let x be s(4). Suppose 4*r = 3*r + x. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 18. Let q(m) = -2*m + 12. Determine 7*q(i) + 5*r(i).\nAnswer: i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -13*s + 5. Let v be z(-4). Suppose -c + 12 - 32 = 0. Let p = c + v. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 107, 320, 631, 1046, 1571, 2212, 2975?\n\"Answer: d**3 + 43*d**2 + 77*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from {e: 6, a: 1, s: 1, o: 4, f: 3, n: 4}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (21\/2 + -1)*4.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 + 8*d. Let v be t(-3). Suppose g + 3*b - 10 = 0, 0 = -2*g + 4*b - v + 42. Calculate the highest common divisor of g and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.079458 to 3 dps.\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**2*((v\/v**(-4\/3))\/v)\/v)**26*((v\/((v**2*v)\/v))**(-34))**50 assuming v is positive.\nAnswer: v**(5048\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5 = o, -4*l - 10 + 22 = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 3*o = -351. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 + -91.6. Let k = -0.6 - w. Let f = -6.9999875 + k. Round f to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 12*k - 17. Suppose -n - a + 26 = 11, -5*n - 3*a = -85. Let b = -30 + n. Calculate the remainder when h(b) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1\/13, -32615 in increasing order.\nAnswer: -32615, -1\/13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 3\/68756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 3\/7 (c) 189 (d) 0.11 (e) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a - 6*a - 2*a**3 + a to w + f*a**3 + o*a + m*a**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1 - 24*w + 12*w + 15*w + 2*w + 11. Calculate p(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.5, -147.302?\nAnswer: -147.302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18084*t**3 - 62697*t wrt t.\nAnswer: -108504*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/7 + 32*h**2\/7 - 60*h\/7 - 144\/7.\nAnswer: -(h - 6)**2*(3*h + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from panezsz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 590514 to the nearest 10000.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21aa79 (base 13) in base 8?\nAnswer: 3020433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {j: 1, e: 17}.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 13 = -5*a. Let v(n) = n**3 - 3*n**2 - 14*n + 12. List the prime factors of v(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q - 3*q. Put q, -2, -7 in increasing order.\nAnswer: -7, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zttz when four letters picked without replacement from {z: 7, t: 12}?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((17 - -1)\/((-18)\/144*60))\/(69\/(-920)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 2\/9 (c) 123 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102.418 + 12.418. What is the nearest to 1 in 1, 2\/21, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37142 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 36 = -x. Let p = 21 - 16. Suppose 0 = -2*m, -p*a - 2*m = -m - 135. What is the highest common factor of a and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 10*i. Calculate j(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1802*k**2 + 68*k**4 - 2 - k - 1800*k**2 - 45*k**4 - 5*k**3 to s + x*k**3 + w*k**2 + q*k + v*k**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11355 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**3 - 2*z**2 - 9*z + 30. Calculate s(4).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3682 and 16044?\nAnswer: 4219572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -222 + 53?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbk when three letters picked without replacement from ktbtbktrr.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 35 + (-32 - -40) + -7 - 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38032355927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*m + 36 = 0, 0*y + 4*m = -y - 22. Is 12*(y\/(-4) + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.84425 rounded to 2 dps?\nAnswer: -2.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1816*k**2 + 2602*k - 2.\nAnswer: 3632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6)*-1)\/((-4)\/(-48))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12629*r**2 + 4 - 1 + 12606*r**2)*(-4*r - r**2 + 4*r).\nAnswer: 23*r**4 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21*(-24)\/84)\/(2\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90 or -634\/7?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 104089 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7338 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b**2 - 36 - 4\/3*b**5 - 156*b + 88\/3*b**3 + 5*b**4 = 0. Calculate b.\nAnswer: -3, -2, -1\/4, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21378 - -21391. Calculate the remainder when 1763 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.547 + -8.5469. Let d = -11 + 4. Let z = y - d. What is z rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1728 is divided by 35?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26356048*s**5 + 10*s**3 - 44520*s**2 - 1015*s?\nAnswer: -1581362880*s**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2080185?\nAnswer: 3, 5, 138679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4 + i**2 - 2*i**2 - 12*i + 2. Let m be (7 + -6)*(1 - 0)*-10. Is 13 a factor of h(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by -3\nAnswer: -91\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 192\/(-5)*(-400)\/160\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.274 - 0.07418437?\nAnswer: -0.34818437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137152809*h**5 + 322824103*h**2 - 2 wrt h.\nAnswer: -8229168540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (7 - 5)) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41\/4 - -21\/2. Which is bigger: -1\/18 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i + 2*i + 0*i)*(0 + 1 + 1) + ((0 - 4 + 6)*(0*i - 3*i + 2*i) + 2*i + 2*i + 0*i + 2 - 2 + 2*i)*(6 + 0 - 1))*(4 - 4 + i**2).\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(((-2)\/(-8))\/((-1578)\/(-10520)))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -6. Suppose 2 + 0 = -n*u. Let f(q) = 3*q**2 - q - 1. Let c be f(u). Calculate the highest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 - 3*w**3 + 3*w**3)*(-1 - 7*w + 1).\nAnswer: 21*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.013 - -2.013. Sort -0.2, 5, 0, n in increasing order.\nAnswer: -0.2, 0, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -11*r - 944. Let x be g(-86). Suppose o + z - 12 = 0, 2*o + 3*o - 4*z = 24. Solve -4*n - 1\/2*n**x - o = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25 - 3 + 37 + 2 - 134*p wrt p.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 89980*f + 1 - 1 - 84609*f + 0 as k*f + w and give k.\nAnswer: 5371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 8\/17*l**2 + 1\/170*l**5 - 15*l + 0 + 4\/17*l**3 + 1\/17*l**4. Find k, given that q(k) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*r**5 - r + 75 wrt r?\nAnswer: 2120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.053 from -205016626851.\nAnswer: -205016626850.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 p when three letters picked without replacement from bejpep?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w. Let l(f) = 46*f - 72. Let p be l(5). Let k(y) = -158 + p - 42*y**2. Determine k(j(b)).\nAnswer: -168*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10023 and 71189?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -29\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/2 in -4, -58\/5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -0*l + 32*l. Suppose 4*h = 2*h + 3*d - 8, l*h = d. What is the least common multiple of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 + 94 - 47*a**2)*(5*a - 3*a - a) - 3*a**3 + 2*a**3 - 2*a**3.\nAnswer: -50*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 5. Let u be h(-5). Suppose -5*k = 5*t + 25, 0 = t + 3*k - 4*k - 3. Put 1, u, t in descending order.\nAnswer: 1, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*x - 4. Suppose -2*h - d + 9 = 1, x*h - 3*d - 3 = 0. What is the first derivative of m**3 + 7 - 4 + 3*m**h wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334.0893 decades to centuries.\nAnswer: 33.40893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 396 = -2*z. Let p be 24*(3 + -3 + -1). Let q = -12 - p. Calculate the highest common divisor of z and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001096127 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3083485 millennia?\nAnswer: 30.83485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 + 6613*q**2\/2 + 10929635*q\/2 - 10936249\/2.\nAnswer: (q - 1)*(q + 3307)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 196\/12*156\/182 - 2. Solve -3*r - 36 = -k*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*r**2 + 4*r**2 + 23*r**2)*(-2*r**2 + 7*r**2 + 2*r**2) in the form w*r + n*r**2 + o*r**4 + m + d*r**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000011001011 + -1001?\nAnswer: 10000011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 67.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 55\/2 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 42 = -b. Suppose 1528 = -b*o - 1776. Is 14\/42 + o\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + b + 4 - 17 = 0, r - 16 = 4*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(774\/(-24) + 3)*4. Let z = t - 585. Solve -m = -5*m - z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -74823, -150112, -225397, -300678, -375955?\n\"Answer: 2*c**2 - 75295*c + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-923)\/(-426)*(-20)\/65*27\/2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -60.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -172 at least -32328\/187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 4\/9 (c) 0 (d) 2\/5 (e) -1\/8 (f) 217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4 + 2. Let x be ((-2)\/10)\/(k\/(-15)). List the prime factors of 21 + (0 - x)\/(-1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**6\/45 - 2*x**5\/15 - 2*x**4\/9 - 41*x + 3. Factor t(j).\nAnswer: -2*j**2*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 203 - 50. Suppose 15 = k*y - 46*y. Suppose -4*i + 2*u + 26 = 4*u, 0 = y*i + 3*u - 24. Solve 3*c = 3*o, 4*c = 3*o + 3 - i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 4*c - 76. Suppose 88*z - 4440884 = -194*z + 83*z. Suppose 0 = c*d - 5*d - z. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2513*p - 3779 with respect to p.\nAnswer: 2513","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 113*r**2 - 5. Let a(x) = -7684*x**2 + 339. Give -5*a(t) - 339*g(t).\nAnswer: 113*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - 83. What is the closest to g in 5, -1\/6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 234068.\nAnswer: 468136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = 3*u. Suppose -21 = -4*l - u*q + 3, 5*l - 22 = -3*q. Solve 4*s + l*k + 18 = 0, -4*s = 3*k - 5*k - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -2b84?\nAnswer: -2b89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5*sqrt(76)*1*-1)\/(5*((4*sqrt(400) - sqrt(400) - sqrt(400)) + sqrt(400))))**2.\nAnswer: 19\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 210*b. Let v(s) = -11*s. Suppose 24 = -70*a + 78*a. Give a*y(w) + 56*v(w).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**5 + 10*b**4 - 20*b**3 - 10*b**2 + 15*b = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*u - 45*u = 21. Sort 1, u, 5, 4 in descending order.\nAnswer: 5, 4, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*f - f - 14 = 0, 5*t = f - 1. Which is the fourth smallest value? (a) 1.8 (b) -2\/13 (c) t (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((5 + (sqrt(539) - (1 + sqrt(539))) + sqrt(539))*1 - ((sqrt(539) - (4 + sqrt(539) + sqrt(539)*2)) + (-1*sqrt(539) + 1 - sqrt(539)))) + -1)**2.\nAnswer: 70*sqrt(11) + 13476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 1. Let y(g) = -3*g**2 - 2*g - 8. Let o(z) = -5*s(z) - y(z). Calculate o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 0.4, -0.2, 4, -0.1.\nAnswer: -0.7, -0.2, -0.1, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 7)*(-5)\/2. Suppose 5*w = 2*m + 28, a*w - m = 4*m + 40. Solve 0 = 3*g - 5*y - 6, 5*g = w*y - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8 + 50)*(2*g**4 - 5*g**4 + 2*g**4) + (-5 + 0 + 0)*(g**4 - g**4 - g**4).\nAnswer: -37*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34\/(-6)*1\/23. Let a be 15\/(-5) - (-6)\/(414\/213). Let x = d - a. Put 6, x, -0.5 in decreasing order.\nAnswer: 6, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11*z - 7. Let g be c(8). Suppose -3 = -b - 0. Suppose 0 = 4*r - 5*w - g, 3*r + 6*w = b*w + 27. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 1. Let b(k) = -k - 4. Let p(o) = 3*b(o) - 3*g(o). Let t be p(-3). Suppose 3*m - 5*s - 344 = -t*s, -m - 5*s + 143 = 0. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -8 (b) 3 (c) 17 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4290.72 and -87.27.\nAnswer: 4203.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjjssjjsjsjjj. Give prob of sequence js.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21030, -41968, -62880, -83760, -104602, -125400, -146148, -166840?\n\"Answer: o**3 + 7*o**2 - 20966*o - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4)*1)\/(111\/1332*(-6)\/(-80)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 966 = 296*a + 211*a - 9174. Sort 4, a, -51, -1 in descending order.\nAnswer: a, 4, -1, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6975?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9 (b) 0.4 (c) 1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -545 and 117394.\nAnswer: 116849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4446503 - -0.3.\nAnswer: 4446503.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-9) - (-65)\/150. Which is the biggest value? (a) g (b) -3 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18578 - 5*y - 4*y + 5*y + 9951.\nAnswer: -4*y + 28529","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 11*r**2 - 8*r**2 + 59 - 61 + r**3 to the form z*r + y*r**3 + a + v*r**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55\/479 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.1396km in centimeters?\nAnswer: 4513960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 17, 36, 63?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5352169 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -72661, -72814, -73067, -73420?\n\"Answer: -50*q**2 - 3*q - 72608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) - (sqrt(2) + sqrt(2) + (sqrt(2) - sqrt(8)) + 1)))*-2)**2 + -2.\nAnswer: 10 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54400?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*i - 9. Let r(u) = 2*u**2 + 15*u - 35. What is the remainder when r(-11) is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-3))**42)**23 assuming y is positive.\nAnswer: y**(-1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 8. Let u = -5212 - -26062\/5. Which is the nearest to 0.21? (a) z (b) u (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 21 = -5*t, -2*n + 256*t - 260*t + 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 193712453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a + 32. Does 19 divide (8\/a)\/((-2)\/(-152))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381 = -h - 128. Let i(o) = 2*o**2 + 12*o - 3. Let n be i(-7). Suppose -n*v + 3*v + 184 = 0. Calculate the greatest common divisor of v and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(10 - 4) + 16152\/(-32). Is h smaller than -507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -650, 3, -0.2, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((4*-88)\/(-4))\/(20*(-29)\/(-580))\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -2.14792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**4\/4 + 8*z**3\/3 - 5*z**2\/2 - z - 46. Is 16 a factor of c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -351*x + 75555. Give z(215).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (-5)\/(-2))*-34. Suppose 16 = 2*j - 54. Let h = 34 - j. Is h less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -15*m + 1107, -576286*o = -576288*o + 4*m - 286 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -14*w**2 - 22*w - 9. Let z(g) = -16*g**2 - 21*g - 10. Calculate -7*s(k) + 6*z(k).\nAnswer: 2*k**2 + 28*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n**4\/9 + 724708*n**3\/3 + 6918098*n**2\/9 - 6851992*n\/3 - 3953080\/9 = 0. What is n?\nAnswer: -5, -2\/11, 2, 98827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.33 + 3.567. Let k = -1.763 - g. Let m = -3.1 - -3. Which is the smallest value? (a) m (b) -2\/3 (c) -0.2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5 - 2 + n**2 - 2*n - 2. Is f(-6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.71 + -9.77. Let l = 12.09 - 12. What is the third biggest value in 0.2, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28387048?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 10. Let n = 1 + v. Let g(f) = 2*f**2 - f + 1. Let m be g(n). Solve -m*s = -s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + 1 + sqrt(2299) + -2.\nAnswer: -1 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203.6368 rounded to zero decimal places?\nAnswer: -1204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l + 2. Let u(o) = -o. Let h(p) = -r(p) + 4*u(p). Suppose 14*s + 209 = -15*s + 325. Determine h(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-66)\/4)\/((-6)\/8). Suppose -2*h + 2*n = 42, -h + 0*n - 45 = 5*n. Let d = 27 + h. What is the greatest common divisor of d and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/7 of a week?\nAnswer: 33120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0308 + 4.9692. What is the closest to 0.3 in 0.4, 25, 3, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5781287 + 8?\nAnswer: 5781306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1))**(22\/5))**0\/((d**(-2\/9))**9)**(4\/15) assuming d is positive.\nAnswer: d**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7615*f + 7587*f = 2240 for f.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -10*g**2 - g + 2. Let f(b) = 1847*b**2 - 2*b + 4. What is -3*f(y) + 6*r(y)?\nAnswer: -5601*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2668 - -2674. Solve 16 = 14*h - n*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*s - 11183*s**4 - 3 + 11168*s**4 + 0 wrt s?\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808022 is divided by 46?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**6\/1440 - n**5\/80 + 7*n**4\/96 + 10*n**3 + 102*n. Let c(d) be the second derivative of w(d). What is h in c(h) = 0?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 18. Let w(m) = 38*m**2 + 10*m + 321. Let u(v) = -23*v**2 - 6*v - 160. Let j(h) = -5*u(h) - 3*w(h). What is j(q(a))?\nAnswer: a**4 - 36*a**2 + 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 338123, 338122, 338121, 338120, 338119?\n\"Answer: -u + 338124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5)*(-2 + 3 - 3)*(1 + 2*w - 1).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488310 is divided by 8005.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*a**2 - 595*a**2 + 301*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/9)\/2)\/(37\/(-111)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 145802534 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86\/(-215) + 4\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539*p - 23 = 516*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 320262, 314774, 309286?\n\"Answer: -5488*r + 325750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -275.4 and 26799.8?\nAnswer: 27075.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2 and 5\/829242.\nAnswer: 829242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 8*h - 4. Let l be i(7). What is the second derivative of 3*g**4 + 37*g**l + g - 37*g**3 wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 76*s**2 - 1440*s + 550. Calculate f(-36).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 7*o**5\/60 + o**4\/6 + o**3 - 5. Let c(z) be the third derivative of k(z). Find the first derivative of c(u) wrt u.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 2*d**2 + (2*d + 0*d + 0*d)*(-3 + 3 + 2*d) + 240*d**2 - 336*d**2 - 299*d**2 to the form f + j*d + m*d**2 and give m.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7302 - 7309. Let a(s) = -3*s**2 - 11*s. Let x(i) = 10*i**2 + 34*i - 1. Calculate f*a(c) - 2*x(c).\nAnswer: c**2 + 9*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*c - 4*n - 17, -3*c - 60 + 7 - 43 = -19*n for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291573832 a multiple of 2852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(405)) + (1*(2*sqrt(405) - sqrt(405)) - sqrt(405)) + sqrt(405) - 6*(sqrt(405) + (sqrt(405) + -1)*-2 + sqrt(405)))**2 + 2 + -1.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 32*g + 21*g + 18*g + 6. Let w be j(7). Suppose -7*d + 5*d = -w. What is the remainder when 100 is divided by d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-639.\nAnswer: -191.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.413 - -3.913. What is the second smallest value in -0.2, -4, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233 - 35.8\nAnswer: -268.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4169, 4033, 4029, 4157, 4417, 4809, 5333?\nAnswer: 5989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 11012110112?\nAnswer: 11012110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*t + 24. Let x be ((-1)\/(-2))\/((-1)\/t). Solve 2*d = -x*d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 3)\/1*1. Let y(h) = -13*h**3 + 2*h**2 + h + 5. Let s(j) = -2*j**3 + j**2 - j. Let z(i) = 6*s(i) - y(i). Calculate z(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 not equal to 1825\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 109. Let s = g + 109. What is the closest to 0.2 in s, -4\/3, 17?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4*b + 36 = 0, 4*i + 3*b + 2 = -6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(17) + 4 - (sqrt(170)*-1)\/sqrt(10))*-1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 12. Suppose 2*z + s = -s + 8, -15 = m*s. Let n be 2\/z - (-144)\/378. What is the third smallest value in n, -5, -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1623 is divided by 252?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4249 + 4249 + 888*l + (-62 + 11*l + 62)*(-4 - 6 + 3 + (-3 + 2 + 0)*(2 + 0 + 0)) to the form i*l + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 - 91. Let v = -2 - -1. What is the closest to o in 4\/9, v, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9 - 1 + 8*o - 17*o**2 + 16*o**2. Let y be h(6). What is the derivative of 7*b + 1 - 5*b + y wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, u: 3, l: 1, m: 5, s: 6, e: 4}. Give prob of sequence esm.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32925\/131204 + -31\/32801. Let s*r**5 + 11\/4*r**4 + 41\/4*r**3 + 49\/4*r**2 - 15\/2*r - 18 = 0. What is r?\nAnswer: -4, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 30. Suppose -k = 4*z, -2*i - 2*z - 17734 = 5672. Round i to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22657, -22659, -22661, -22663, -22665?\nAnswer: -22667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/(-15)*(35\/14)\/(-1). Let g(y) = 2*y - 13. Let t be g(x). Sort -5, t, -27 in ascending order.\nAnswer: -27, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 19*t + 165. Let v be l(-11). Suppose 113 - 17 = 2*x. Let a = x + v. Let s(r) = -2*r + 6. Calculate s(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11*w - 254. Let y(l) = 20*l - 508. Determine -11*f(o) + 6*y(o).\nAnswer: -o - 254","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1408 and 548416.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-41)\/(-287))\/((-2)\/(-12)*1). What is the biggest value in 3, f, -0.1, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-21 - 12)*-68*(-5)\/70?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.3, -6\/61, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 489\/16 (b) -5 (c) 2\/429\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1. Let u = -23 + 11. Let j be ((-4)\/u)\/(1\/(-3)). Let s(n) be the second derivative of -n**3\/3 + n**2 - 65*n. Determine j*s(g) - z(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -43\/16 and -0.4372 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/10)\/(7\/315). Suppose -w - 49 = -4*h. Solve 4*d - h = -n, 3*d - 4 = 5*d - 4*n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 100 - 10. Let h be (-420)\/(-189) - (-4)\/z. Factor 0 + 9\/5*j**h - 3\/5*j**4 + 0*j**3 + 6\/5*j.\nAnswer: -3*j*(j - 2)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 7:25 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29850005?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.248846565 to three dps.\nAnswer: 0.249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 13) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kks when three letters picked without replacement from {c: 1, m: 1, n: 1, s: 2, k: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278870.\nAnswer: 2, 5, 79, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99468 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 0.1, -42?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = -4*m + 13, -2*m + 8 = -2*i. Solve -m*s + 9 = -3*n, 4*s + 4*n - 18 = 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y + 45. Let v be f(7). Suppose -20*g + v*g = -15. Solve 2*d = -3*j - 2*j + 35, -g*j + 15 = -2*d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 28020?\nAnswer: 56040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39 or -46275\/1222?\nAnswer: -46275\/1222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -373*k + 12499. Determine g(33).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1182132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**7\/105 + 3*t**6\/20 - 23*t**5\/30 + 5*t**4\/4 - 666*t**2 - 2*t. Factor h(j).\nAnswer: -2*j*(j - 5)*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23440.\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23489696 is divided by 4755.\nAnswer: 4751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 37. Are a and -100 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 11:37 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 7. Let v(y) = 3*y - 5. Let d(m) = 3*f(m) + 4*v(m). Let s(u) = -13*u - 4. What is -18*d(i) - 4*s(i)?\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, n: 1, g: 3, i: 9}. What is prob of picking 2 t and 2 i?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 6*y = 53 - 35, 2*q - 2*y + 2 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 517468 by -7.\nAnswer: -73924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4425.223 years in months?\nAnswer: 53102.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -2, 0, -1, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4744\/10 - (-4)\/(-10). Let a be 2\/(-3) - l\/(-9). What is the highest common divisor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 3*r**5\/140 - 3*r**4\/2 + 198*r**3\/7 + 1452*r**2\/7 - 97*r. Let l(g) = 0. Calculate g.\nAnswer: -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18098347259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 73*q + 188. Determine b(-5).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221312203023103 + 3?\nAnswer: -221312203023100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 362 = 2*y, -k - 4*y = -0*k - 190. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 893 + -893.00000493. What is s rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**7\/1260 + p**4\/6 + p. Let l(s) be the third derivative of z(s). Let g(b) = -b**2. Give l(g(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2408166.938 to the nearest one hundred.\nAnswer: -2408200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 14*x**2 - 24*x + 18. Let t be r(12). Suppose t - 34 = 4*f. Calculate the remainder when f is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8*m - 38. Let o be s(-5). Let j be ((-1)\/2)\/(1\/(-2)). Let r be ((-2 - 6)\/(-1))\/j. Calculate the greatest common factor of o and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) + (sqrt(70) - -5*-2*sqrt(70)) + sqrt(70))\/(1*sqrt(810) + sqrt(810)))**2 + (sqrt(3087)*-2 - sqrt(3087))\/(1*sqrt(9)*-2))*2.\nAnswer: 343\/162 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23\/8, -0.5, -5.7?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*3\/6*(-21)\/((-105)\/(-26)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2*x - 5 + (3*x - 5*x + 4*x)*(2 - 3 - 2) to q + w*x and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 28*r**2 + 5*r + 3. Let z(y) = 2*y**2 - 2*y + 1. Give b(q) + 2*z(q).\nAnswer: 32*q**2 + q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2. Let w(j) = -750276815*j**2. Give w(g(z)).\nAnswer: -6752491335*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 36545 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + k - 89 = 3*k, -m - 2*k + 105 = 0. Calculate the remainder when m is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2985604 and 18.\nAnswer: 26870436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-115 + 46 + 399)*(2 + 0 - 4)*(-j + 0*j + 2*j - 9*j + 4*j + 0*j + (0*j - j - j)*(5 - 3 + 0)) to the form w + f*j and give f.\nAnswer: 5280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4829714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 17*a**3 + 2*a**2 + 3*a + 1. Let i be c(-1). Let x(d) = -d**3 - 15*d**2 + 36*d + 39. What are the prime factors of x(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 7*a - 5. Let s be v(7). Let q = s + 8. Suppose -83 + 5 = -q*k. What is the highest common factor of 39 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*j = 66*j - 42. Let x(i) = j - 6 - 11 - 7 + 17*i. Calculate the lowest common multiple of 22 and x(5).\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -7. Let t be z\/((-5)\/2 - -3). Let l = t + -8. Solve v - 2 = -l*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1592868874 to the power of 1\/2, to the nearest integer?\nAnswer: 39911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*k + 4122*k**2 - 133*k + 76*k.\nAnswer: 4122*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.4631 millennia in years?\nAnswer: 145463.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -3, -34 in ascending order.\nAnswer: -34, -8, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 789280534 a multiple of 5714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, 3, 0.05, 0.3.\nAnswer: -145, 0.05, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118013.22634 - 485.\nAnswer: 117528.22634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 11:48 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51032 or -51074?\nAnswer: -51074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7966 - -7970. Which is greater: q or -11\/63?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**3*s - 5071*c**3 - 2*c**2*s + 2*c**2 + 6769*c*s + 8*c wrt c.\nAnswer: 36*c*s - 30426*c - 4*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(-4)*j*j))\/(j*j*j\/(j**0*j)))\/(j\/j**(-2))**6)**(-1) assuming j is positive.\nAnswer: j**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6917 divide 1538928745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 339591869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*z - 141 = -5*z, -4*a - 5*z + 105 = 0. Let w be (3\/6)\/(3\/a). Solve -2*q - q = -3*t, 0 = q - w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (230\/15)\/(((-248)\/(-24))\/31)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 81 + -29b9?\nAnswer: -2938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021663622?\nAnswer: 2, 7, 139, 179, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(2 - 0 - -1). Suppose 0 = -2*l - 2*v + z, 5*l - 3 = -2*v + 15. Solve 2*y = -l*f - 8, -24 + 8 = -2*f + 4*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.62, 1000, 0.004, -0.2, -2\/5.\nAnswer: -0.62, -2\/5, -0.2, 0.004, 1000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -11. Let p = 5.2335 + -0.2335. What is the nearest to 2\/5 in p, l, -7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/7 (b) 13\/4 (c) 1 (d) 6 (e) -0.1 (f) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 2*f + 36. Let m(w) be the second derivative of 0*w**2 - 2*w + 1\/6*w**5 + 0 - 7\/18*w**f + 2\/9*w**3. Factor m(q).\nAnswer: 2*q*(q - 1)*(5*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = -4, -3*y = 4*o + 10. Let n be (4\/y)\/(3\/(-18)). Differentiate 3*v + 2 + 3 - 7 + n wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*d - 20*d + 51*d)*(2*d + 1 - 1).\nAnswer: 112*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3401 - -3841. What is the highest common divisor of 715 and f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*c + 10196994, 16995018 = 5*c - 67*t + 70*t. What is c rounded to the nearest one hundred thousand?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53106, -212410, -477914, -849618, -1327522?\nAnswer: -1911626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, c: 4, v: 2}. Give prob of picking 2 c and 1 m.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 20*h**2 - 12*h - 36.\nAnswer: -4*(h - 3)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -149416938 rounded to the nearest one million?\nAnswer: -149000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from bbojjfku.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, k: 3, t: 1, n: 4, p: 4, x: 1}. What is prob of sequence kng?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -3*g**5\/5 - 2*g**3\/3 + 11. What is the third derivative of d(c) wrt c?\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g. Let v be l(6). Let r = -10 + v. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 250792.7 and 3.\nAnswer: 752378.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 81. Let x be (-7)\/(175\/(-10))*(-10)\/6. What is the nearest to 7 in b, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, r: 12}. Give prob of picking 2 r and 2 w.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.057 + -1.407. Let y = c + 30.15. Let h = -29 + y. Is h at least 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/(-1 + 7) - (-342)\/42. What is the nearest to 0 in -0.2, q, -2\/5, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 10.2689 plus -686388.15?\nAnswer: -686377.8811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 175*j**4*s**2 - 9*j**2*s**3 - 2*j*s**3 - j*s - 4*j + 13 wrt j?\nAnswer: 2100*j**2*s**2 - 18*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*x + 2*x + 3*x)*(5*x**2 + 4*x**2 - 3*x**2) + 0*x**3 + 5*x**3 + 5*x**3)*(5*x - 2*x - 4*x).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -209*l**5\/60 + 293*l**4\/8 + l**2 + 127. Find the second derivative of c(z) wrt z.\nAnswer: -418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 416, 1524, 3366, 5942, 9252, 13296, 18074?\n\"Answer: 367*l**2 + 7*l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*u - 6240, 3*u = -70*y + 65*y + 15538. List the prime factors of y.\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4148773463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 43.6386875 times 0.4\nAnswer: 17.455475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -11*t - 4. Let r(w) = -w**2 - 96 + 98 + 0*w**2. Let u(p) = -h(p) - 2*r(p). Find the second derivative of u(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + 0.1. What is the nearest to 1 in h, -4\/9, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1574 and 409821593?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 - -80. Suppose 5*l - 3*i - 2236 = 0, 3*l + 3*i - 1004 - 328 = w. What are the prime factors of l?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1274 + 30*b**4 + 2*b - 30*b**4 - 265 + 520*b**5 + 2347*b**5 wrt b.\nAnswer: 57340*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25007492, 50014984, 75022476, 100029968?\n\"Answer: 25007492*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.02272 times 2218.9\nAnswer: -50.413408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71649996 divided by 254078.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1280)\/(-48))\/(-16)*6\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 100365.\nAnswer: 501825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 442156572 to the nearest integer?\nAnswer: 21028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 720509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 42969 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -384.011 - -384. Let j = d - -0.311. Sort -2\/9, j, 0.1, -4\/7.\nAnswer: -4\/7, -2\/9, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -568 divided by 71?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580 is divided by 120?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41830218 and 35784?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 1. Let h be (-2 + 5\/3)\/(1\/t). Let m(o) = 8*o**3 - 4*o - 6. Let c(j) = -j**3 + j + 1. Determine h*c(i) + m(i).\nAnswer: 2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 r, and 1 g when four letters picked without replacement from {y: 4, d: 1, r: 2, g: 2, e: 1, j: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 1. Let p be y(0). Suppose 10*r + 3*s - 6 = 13*r, -2*s = -3*r - 8. What is the third biggest value in r, 1\/4, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i = 3*b + 442, -5*b = 0. Suppose i = 21*r - 230. Calculate the remainder when 85 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178786696?\nAnswer: 2, 11, 191, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**6\/n*n*n*(n\/n**(-11)*n*n)\/n)\/((n*n\/n**(1\/7))\/(n\/(n\/n**(1\/7)))) assuming n is positive.\nAnswer: n**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -256114364 (base 7) to base 5.\nAnswer: -13142431414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**4\/12 + a**3\/3 - 15*a**2 + a. Let x = 533 - 543. Does 11 divide b(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34261 is divided by 265?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 4. Let w be (-2)\/8 - (-16003)\/63596. Let x = -2476\/18345 + w. Which is the smallest value? (a) z (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*v - 9608 + 6993 = 11829 + 12024 for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*o + 64791 = -537*o - 797*o for o.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148987 and 1556.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -35, 52, 51, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = 14 - 198. Calculate the remainder when 183 is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23940 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.26 + -0.26. Which is the second biggest value? (a) 4 (b) -0.3 (c) 0.3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1600 = i. Suppose -i = -6*c + c. Suppose 3*z - 4*h = c, -h + 77 = 3*z - 108. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 5*o + 8. Suppose -3*s = 2*s - 3*q + 20, -2*q - 20 = 5*s. Let y be 5 - (2 + 3 + s). Suppose v + 31 = -y*w + 3, -2*w + 5*v = 14. Give p(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 4*g - 48 = 0. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2534473487.\nAnswer: 7, 13, 859, 32423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - (-1 + (24 - -23))) + -12 + 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -6*r - 4. Let q be (r\/(-2))\/(3\/(-12)). Let h = 0.9 + -0.8. Which is the smallest value? (a) -5 (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288282.\nAnswer: 2, 3, 23, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732708.\nAnswer: 2, 17, 83, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 3, b: 7, l: 1}. Give prob of sequence xb.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 + 53. Let j = y - -34. Let l = -17 - -53\/3. Which is the third biggest value? (a) j (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 - -9) + -22 + 4 + 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45574 + 20\nAnswer: 45594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 19 = -3*u, -3 = 3*s - 4*u - 35. Suppose 2*f = -0*f. What is the biggest value in -1\/2, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 14 = -34. Suppose 8 = 2*g + 2. Let b(l) = -2*l + 1. Let o(u) = -3 - 3*u + 4 + u + 2 - 3*u. Calculate g*o(r) + v*b(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 415 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**4\/24 + m**3 - 18*m**2. Let s be c(3). What is the third derivative of -2*k - 6*k**2 + 4*k - k**s - 2*k wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6723284 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 888080*r**2 - 39432528100*r - 157744322000.\nAnswer: -5*(r - 88810)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2 + -2)*2\/12. Let z(m) = -10*m - 24*m + 8*m. Let y be z(1). Is y at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2 - 1084*f - 1080 = 0.\nAnswer: -270, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -240 and 3.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 5. Let a be r - ((-3)\/3 + -27). Let t be (-7)\/((-7)\/(-50000))*a. Round t to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 25*b + 650. Let z be h(-26). Factor z*g - 1\/3*g**2 + 0.\nAnswer: -g**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 621, 586, 549, 510, 469, 426?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 divided by 22?\nAnswer: -141\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -235*p**2 + 371 - 371 + (3 + 2 - 4)*(-p**2 - 2*p + 2*p) - 3*p**2 - 3*p**2 + 2*p**2 + 4*p**2 - 5*p**2 + 2*p**2.\nAnswer: -239*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 129*o**2 + 1408*o - 471. Determine r(117).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, o: 3, t: 1, g: 1, i: 1, l: 5}. Give prob of sequence gsli.\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24200699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 75. Let x = 46 - r. Let w = -0.56 + 0.96. What is the nearest to 0 in x, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*k = -9, 0*j - 3*j - 5*k = 1. Let f = 0 - j. Let v(a) = -28*a + 6. What is the units digit of v(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 1 = -2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r + 3*f + 9 = 0, -4*r + 12 = -2*f. Suppose 0 = r*p + 4*p - 35. Solve -u = -p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609\/1*(-30)\/(-30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v = 0. Let q = v - -4. Suppose -19 = q*x - 79. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8614 and 708?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**4 + 2*j**2 + 60*j - 3143 wrt j.\nAnswer: 8*j**3 + 4*j + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47.52? (a) 0.3 (b) 1\/7 (c) -262 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 7 (b) 116 (c) -35 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140984242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.9 + 10.1. Let p = -8 + g. Let n(j) = -j**2 - 2*j + 3. Let s be n(-4). Which is the closest to -1? (a) s (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 0 + 0 + (-2*w - 5*w + 6*w)*(-1 - 2 + 5).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18122903699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0405 in 1\/16, -0.128, -0.3?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -31*h**3\/3 + 8*h - 65. Let d(o) = 2*o + 52. Give d(p(t)).\nAnswer: -124*t + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 518 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 9:05 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 46*y**2 - 85*y - 131. Let d be c(44). Solve -f + 3*f = -k - d, -2*k + 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 1148 = t, 0 = t + 2*b - b + 1142. Round t to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from dzzdppddvpvvzdpzdd?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (16 - 4 - 28).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:51 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 3)*(4 - 5 + 2)*(-4*t + 2*t + 0*t).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 12 - 3. Let p = 13 + s. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 90*w = 266*w + 1825 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22466?\nAnswer: 2, 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2008921149 to the nearest integer?\nAnswer: 44821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + (-59 - -28 - -72)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 72 = 7. Solve 2*b = 5*r + 19 - 8, -2*b = 3*r + g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -9*f**6\/10 - 9*f**5\/20 + 2*f**4 + 2*f**3 + 29*f - 40. Let q(m) be the first derivative of v(m). Factor q(z).\nAnswer: -3*z*(z - 1)*(3*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*d - 100*d = -172456. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -519\/11 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15384 is divided by 162.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98189.5112563 - -42.\nAnswer: 98231.5112563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-6)*-31*63\/((-27783)\/126).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l\/(((l\/(l\/l**(-2\/5)*l))\/l)\/l))\/l)\/l*l)**(6\/19))**44)**(-45) assuming l is positive.\nAnswer: l**(-40392\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -162, -383, -612, -855, -1118, -1407, -1728, -2087?\n\"Answer: -v**3 + 2*v**2 - 220*v + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 864.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -417, -774, -1205, -1710, -2289?\nAnswer: -2942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -31314044444?\nAnswer: 31314100004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-2)\/2 + 13. Suppose 3*p + l + 4 = t, p = 5*t - 62. Suppose m + t = 5*m. Let i(w) = w**2 - 6*w + 4. Calculate i(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l + 4. Suppose -8 = m - 5*m. Let x(r) = 5 - 7*r + r + m*r - r**2. Let q(b) = -3*t(b) + 2*x(b). Factor q(c).\nAnswer: -2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - (54\/(-3) + 1 + (1 - -6)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972722?\nAnswer: 2, 139, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/378 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, -105 in decreasing order.\nAnswer: 9, -3, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173 - 109. What is the remainder when q is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*o + 1658 = 0, -2*q = 2*q - o - 6666. Let r(c) = -c + 3*c + 5 + q*c**2 - 1674*c**2 - 7. What is r(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 33\/5 of a millennium?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjvjajjavajjva. Give prob of sequence aavv.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 9*o**2 - 7*o + 62. Let r be k(9). Is 9 a factor of 232*(26\/104 + r\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Factor -8*z + 17*z**h - z**2 + 3 - 2.\nAnswer: (4*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37324 is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/584, 0.\nAnswer: -1\/584, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 117644.64 rounded to the nearest one hundred?\nAnswer: 117600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272299*u - 272297*u - 28 = 0 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94 + 3*f + 93 - 13*f**3 + 22*f**3 + 2*f**2 to t + i*f**2 + v*f + o*f**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235435 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((z*z**(1\/7))\/z*z*z)\/z))\/(((z*z**(-2))\/z*z)\/z)*z**(6\/7)*(z\/((z*z**(-3)\/z*z)\/z*z))\/z*z assuming z is positive.\nAnswer: z**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 2\/9, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 131, 265, 399, 533, 667?\n\"Answer: 134*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 11:43 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 684 and 5068212?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g - 27. Let v(t) = 7*t - 56. Give 5*q(y) - 2*v(y).\nAnswer: y - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*m + 167*m - 60*m)*(-2 + 0 + 4)*(-m**4 + 24*m - 24*m).\nAnswer: -302*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -138 and -27.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/18)\/(14\/(-42)))\/((-3)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + -68. Let r = 100 + m. Which is the nearest to -1? (a) 2 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*(-3017080)\/(-13714).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 111. Calculate the remainder when c(0) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14 + -11 - ((-4)\/(-6) + 2). Factor -4\/3*f + 8\/3 + t*f**3 + 4\/3*f**4 + 1\/3*f**5 - 10\/3*f**2.\nAnswer: (f - 1)**2*(f + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 + 3*w**3 + 44 - 78 + w**2 - 6*w + w + 3*w**2. What are the prime factors of t(6)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 - -2 - (-2 + 2) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/3)\/(2\/(-36)). Suppose 3 = a - z. Suppose 3*b = a + 9. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -444 - -11102312?\nAnswer: 11101424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 24 = 115. Let o = x - -63\/5. What is the nearest to o in -0.4, 1, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4012227 (base 8) to base 4\nAnswer: 10001102113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**3*v**2 + 303*u**2*v**3 - 575*v**3 wrt u?\nAnswer: 3*u**2*v**2 + 606*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-1)*(-3 + (-15)\/12). Suppose -w = 2*w - 4*y - h, w - 3*y = -1. Suppose 0 = -3*p + 2*g - w + 170, 4*g = 2*p - 98. List the prime factors of p.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = 47*y - 10*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 13555344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*z - 0. Let a(v) = 2*v**2 + v + 5. What is the units digit of a(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12220 + -11?\nAnswer: -20001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c + 2 - 1 + 0. Suppose -3 - 1 = -4*d. List the prime factors of b(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*g = -9*g + 57, -y = g - 15. Suppose -5*n - 5*r - 15 = 0, -2*n - 4*r = -8*r - y. Which is smaller: 12\/29 or n?\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {i: 10, u: 1, b: 6}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -34) + (-5 - (-10 - -1)) + 11.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 28, 1 in descending order.\nAnswer: 28, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 14) in base 12?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 25 - 7*g**3)*((0 - 4 + 2)*(-23 - 13 + 71) - 4 - 1 + 2) as k*g + j*g**2 + p*g**3 + s and give p.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/12)\/w)**(-1\/5) assuming w is positive.\nAnswer: w**(13\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -9. Solve 3*u - 5*m - 29 = 0, a*m = 4*u - 21 - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 200 - 200.0074. What is z rounded to four decimal places?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1407\/4 + 353. Suppose -1\/4*p**2 - f*p - 3\/4 + 1\/4*p**3 = 0. What is p?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 982 or 981?\nAnswer: 982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/91 (c) 0.29 (d) -1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.2982 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61915500 and 18000.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16482?\nAnswer: 2, 3, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 190, 9, 574, -4 in decreasing order.\nAnswer: 574, 190, 9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1789 - 3578 + 79*v**2 - 42*v**2 + 1789.\nAnswer: 37*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -498900 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 298?\nAnswer: 298.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 165437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1425931 and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735 less than or equal to 2735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -97*a**4\/24 - 65*a**3\/6 - 3*a**2 + 7. What is the first derivative of r(f) wrt f?\nAnswer: -97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3043 + 5*h - 2934 - 10*h)*(3 - 1 - 4) to k*h + p and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4754*f + 22614?\nAnswer: -4754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 22*t. Let z be x(2). Let a = z + 0. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 1255*k**3 + 140367*k**2 + 139113*k.\nAnswer: k*(k + 1)*(k + 123)*(k + 1131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -41. Let u(w) = 9*w - 11. Let t(j) = 3*j - 4. What is k*t(r) - 4*u(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 963 = -233*g + 3795 + 1129. Calculate the remainder when 3246 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-8 - (-1 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 9*m**2 + 54 + m - m**2 - 92.\nAnswer: 8*m**2 + m - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or 4217?\nAnswer: 4217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*k - 76*k + 10*k**4 - 10*k**4 - k**2 - 48*k**5 wrt k?\nAnswer: -2880*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726245 divided by -115083?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -515 + -1273650?\nAnswer: -1274265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1334 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -924*b - 2151*b + 1514*b.\nAnswer: -1561*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2834 - -2978. Calculate the remainder when 5902 is divided by v.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((21\/15)\/7)\/((-8)\/70)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48636890.\nAnswer: 2, 5, 109, 44621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -75545799 and -3?\nAnswer: 75545796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*g + 6 = 0, -42*t + g - 2 = -43*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 62*v**3 + v**2 - 13*v + 4. Give f(2).\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 832451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 d when three letters picked without replacement from wwgghwgdhhhgwdhhgdg?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 1287370064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**6\/120 + w**5\/15 - w**4\/24 - w**2. Is 3 a factor of n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15294 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4*t - 4, 3*a - t - 2 = 2. Factor 8*z - 13*z**2 + 6*z**2 - 5*z**a + 4*z**3.\nAnswer: 4*z*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -86\/5? (a) -0.3 (b) 1 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 23 = -3*f + 4, 2*w = 3*f + 9. Let a(o) = o**2 - 5*o - 4. What are the prime factors of a(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 30 = 10. Let b = s + -3. Suppose 0 = 5*w - 5, b*w - 8 = -x - 2*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 174 = -f. Let p = 432\/5 - f. Let t be 2 - (-14)\/(-6) - 0\/(-1). Sort 0, p, t.\nAnswer: p, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 0 + 2)*(-9*b + 11*b + 5*b) in the form d + m*b and give m.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 41 = -l + 5*w, 23 = 2*l - 3*w. Determine q, given that l - 6*q - 3*q**3 - 9*q**2 - 4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -136 and -874.211.\nAnswer: 118892.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6250, 0.11, -1, 1\/6, -1\/3 in ascending order.\nAnswer: -6250, -1, -1\/3, 0.11, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 447\/72 - (8\/6)\/(-2) and 71\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 + 57 - 2*2)*207\/(-23)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18*12*(-66)\/(-44) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7)\/((i*i\/(i*i**(1\/27))*i)\/i) assuming i is positive.\nAnswer: i**(-215\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 38007368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ealhanh. What is prob of picking 1 h and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 13 = 4*v + 42, -4*v + 5*y - 35 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/49 or -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 93*y - 98*y - 9 to the form t*y + o and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -16. Let g = i + -17. Let v be 3\/(24*-1) + 828\/(-32). Do g and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2. Let j(v) = 3*v. Let m(z) = z. Let u(p) = 3*j(p) - 12*m(p). Determine a(u(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from yekxxex?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1841349 and 304422?\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -25*m. Let j(q) = 4*q. Determine 34*j(s) + 6*p(s).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7 + 3 - k + 3*k**2 - 1. Let x(p) = -2*p**2 + p + 4. What is 3*d(f) + 4*x(f)?\nAnswer: f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3\/7 + 1252*g**2\/7 - 258434*g\/7 + 2517768 = 0 for g.\nAnswer: 187, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154775 divided by -5.\nAnswer: 30955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52963524 divided by 4413627?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (902 - 8113 - 58)*(-7*k + 1 + 3*k + k).\nAnswer: 21807*k - 7269","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881085 is divided by 1615.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/81 + 3\/9. Solve 22*w + 45 + 21 = c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10 and -48601 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-37)\/(-2) + 1\/2. Let o = g + -22. Let m(k) = -k. Determine m(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 31.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1 = 5*t. Let d be -1 + -1*3*t. Suppose 0 = 5*o - 2*q - d, 0 + 1 = -5*o - q. Solve o = -s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 146, 148, 150, 152?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v - 2*v**3 + v**3 + 4*v - 2*v**2 + 10. Does 15 divide j(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.364, 0, 13.4.\nAnswer: -0.364, 0, 13.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -29*h - 386. Determine b(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 1\/945*i**7 - 1\/108*i**4 - i**2 + 0 + 0*i**3 - 1\/270*i**5 + 1\/540*i**6 + 0*i. What is c in t(c) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.69? (a) 0.3 (b) 2\/239 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 148 (b) 1 (c) -3\/8 (d) 30 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 14*i + 1. Let f be h(7). What is the greatest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 1128*w**2 + 1122*w**2 + 0*w)*(w - 3 + 3 + (-1 - 2*w + 1)*(1 + 0 + 1)) + 0 - 2*w**3 + 0.\nAnswer: 16*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/16965 and 83\/7540.\nAnswer: 67860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 + a + 24. Let j(z) = z**2. Let c(k) = 3*j(k) + p(k). Let t be c(8). Calculate the highest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 2703465.\nAnswer: 13517325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18527?\nAnswer: 97, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1381?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (3 + -7 + 9) - (-16 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40323831 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiitiixixitiiitx. Give prob of picking 1 t and 2 i.\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 6. Let f = w - 1.2. What is f rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11.4, 1, 2\/5, -4, 0.1 in ascending order.\nAnswer: -11.4, -4, 0.1, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*54\/(-81)*2. Solve h*a = -9 + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 41 (c) -1.3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106937?\nAnswer: 106937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(306)\/(sqrt(6) + sqrt(6) + sqrt(6) + sqrt(6) + sqrt(6)*2 + sqrt(6)) + (sqrt(6171) - -1*sqrt(6171)))\/(sqrt(18)\/(-4*5*sqrt(6))))**2.\nAnswer: 163370000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 119 - 66 - 52 + 21 + 27*b**2.\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -123 in 4, 0.3, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 620 = 4*y + 5530, -4*y = 2*v - 12372. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18796)\/(-173863) + 636\/962.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwvxxgvgwggcwgg. Give prob of sequence vxwc.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1352132 (base 8) to base 15.\nAnswer: -782e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 3*l - 4. Let p be n(-4). Let j be (-6 - -1) + 6 + -40 + 6. Let w = p + j. Which is greater: -1\/3 or w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = u - 11, -2 = -2*z + 3*z. Let x = -69 - -68.916. Let j = 0.016 - x. Which is the smallest value? (a) -1 (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = u - 56 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -97, -141?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 3*s**2 + s + 5. Let h be v(4). Let q(f) = f**2 + 8*f + 3. Determine q(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 113 + -1)\/(0 - 1). Let f be (4 - 6)*(2 - -26). Let v = f - w. Calculate the greatest common factor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -489 - -846. Suppose 0 = 20*m - 63 - t. Solve -m = 5*g + c, 2*c + 21 = -4*g - 3*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8976 = 5*l + 2*c, 9*l - 6259 = 3*c + 9911. What are the prime factors of l?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 676 and 8996.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 13*n + 50. Calculate the remainder when p(-5) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 2395371.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2055442 is divided by 942?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95060 and 33950?\nAnswer: 475300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 7*t - 4. Let p be z(8). Suppose -2*b + p*b + 4*i = 0, -3*i + 15 = 3*b. Let y = b + -6. Solve y*g = -2*h - 2 + 4, 5*g + 2*h = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 52. Let s be p\/3*(-18)\/(-7). Solve 5*k - 2*x = -s - 13, 3*x - 14 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.73 + -0.13. Let t = 1.3 - b. Let u = 3.23 + -3.28. Put u, 3, t in descending order.\nAnswer: 3, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**3 - 5*b**2 - 5*b - 5. Let p(i) = i**3 - i**2 - i - 1. Give 3*h(s) - 15*p(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4036071558 a multiple of 6834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 195 = -7*b. Suppose -12*z + b = -19. Solve -z*r = -5*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 6291, -0.5, -1\/35?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0077068851 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12528 and 1856?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1424*-2958\nAnswer: 421.2192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 5*o - 10. Calculate q(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 10\/25*(2 - -103).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.045229 millilitres in litres?\nAnswer: 0.004045229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 778*l + 27.\nAnswer: 778*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1228 in -5, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*p**2 + 165*p**2 - 151491*p**3 - 90930*p**3.\nAnswer: -242421*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/46925060 and -79\/167580?\nAnswer: 2956278780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 3*r - 85 = 8*s, 5*r = -25. Let u = 33\/248 - -22089\/1736. Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + -6 - -9574*(-3)\/288. Let t = a - -287\/3. Calculate the common denominator of t and -35\/234.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (8\/5 + 20 + -18)\/(2\/(-10))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1103763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*i + 2309. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*d = d - 60, 0 = g + 5*d - 10. What is the tens digit of (-456)\/(-10) + 10\/g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/420 and -15\/28.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**4 - 330*y**3 - 5720*y**2 - 7680*y + 40960 = 0. What is y?\nAnswer: -32, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2469 + 6?\nAnswer: -2463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -209 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08208107 and 0.5.\nAnswer: 0.041040535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 11*o - 21. Suppose 0 = 5*s + 2*k - 61, 2*k + 5 = 1. Let i be q(s). Let h = 0.6 - 0.2. Sort -2, h, i.\nAnswer: -2, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/2 + (-3)\/15. Let s(g) = -2*g**2 + 2*g + 2. Let x be s(0). Let f be (0\/11)\/(4 - x - 1). Put f, -3, n in decreasing order.\nAnswer: n, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 11951204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -574 + 577. What is the least common multiple of m and 232?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5980 and 4485.\nAnswer: 17940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 11646?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5117874 or -142?\nAnswer: 5117874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 71, 104, 139, 176?\n\"Answer: u**2 + 30*u + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnopnap. Give prob of picking 2 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 881025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 257*i**2*k**4 + 2*i**2*k**2 + 338*i**2 + 2 with respect to k.\nAnswer: 1028*i**2*k**3 + 4*i**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53913000 rounded to the nearest 1000000?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -7. Let k be ((-4)\/(-5))\/((-1)\/f). Put 3, -2\/11, k in increasing order.\nAnswer: -2\/11, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 253*v**3\/3 - 536*v**2 - 178*v + 3. Differentiate t(j) wrt j.\nAnswer: 506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*h - 3226, -5*t + 3*t + 1610 = -3*h. Suppose -t - 1784 = -9*j. Is j a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 47*h = 6*u + 52*h + 24, 0 = -4*h - 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150355 is divided by 150333?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 62*r**3\/3 + 3*r**2 - 4*r - 24. Let q be z(-6). List the prime factors of (q\/20)\/((-6)\/(-15)).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -38a21864?\nAnswer: -38a21867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.619 rounded to the nearest integer?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**5 - 61885*g**3 + 813544*g**2 wrt g.\nAnswer: 180*g**2 - 371310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*h + 4*d = -359*h, 0 = -h + 2*h - 5*d - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -1, 40, -205 in decreasing order.\nAnswer: 40, -1, -5\/2, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i + 103364 = 53514 - 79725. List the prime factors of i.\nAnswer: 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3764843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*k = 158*k - 66 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -996615*f**3 + 996582*f**3 - 58*f**2 - 1 + 58*f**2.\nAnswer: -33*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**3 + 224*k**2 - 27*k - 2. Determine m(-25).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1936, 7777, 17616, 31537, 49624, 71961?\nAnswer: 98632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 3*f**2 - 4. Calculate s(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -5*j + 24, -12 = -2*j + 2*f - 3*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/1 + 693\/(-275) and 32\/9.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -15*h + 12. Let r(a) = 5 + 2*a + 7 - h. Let f(q) = 0*q - 4*q + 3*q. What is r(f(u))?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3250 and 2230930.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*z - 4*z**2 + 0*z**2 - 1 - 43*z + 3 as r*z + n + g*z**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (86022\/(-11151))\/((-6)\/28)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6626 is divided by 2206.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.09894 rounded to 1 dp?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -8*j + 19096. Does 31 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n + 95 = 0. Let v be 2 - 0 - (1 + -26). Let k = v - -10. What is the remainder when k is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*t**2 + 107*t**2 - 52*t**2 - t.\nAnswer: -4*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -1, -199, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4873 - 4828. Calculate the greatest common factor of h and 567.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9001 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.257438cm?\nAnswer: 72574380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5) + (-115)\/(-25). Suppose 4*p - d*p = -18. Let n = -3 + p. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**4\/w))\/((w*w**4)\/w))\/((w*(w*w*w\/w**(-8)*w)\/w)\/(w*((w*w**8*w)\/w)\/w))*(w*w**(-3)*w*w**9)**(5\/3) assuming w is positive.\nAnswer: w**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 14.2697 millilitres?\nAnswer: 0.0142697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80463?\nAnswer: 3, 26821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 34*p = 31*p - 15, 5*p - 30 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-136) - 25256\/45305.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/21*(13 + 1). Let b be 87\/x - 3\/(-4). Suppose 2*t = -3*t. Solve t = s + 3*s + b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 111, 234, 365, 504, 651, 806, 969?\n\"Answer: 4*o**2 + 111*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/581 and -20\/83?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 28, 79, 184, 361, 628, 1003, 1504?\n\"Answer: 3*h**3 - 6*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 309390 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -187. Let p = -17 + 33. Suppose 11 + p = 3*t. Calculate the greatest common divisor of f and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -88, -87, -86, -85, -84?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.353 - 5.\nAnswer: -3.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 852\/330 + 0 + ((-60)\/(-33) - 2). Factor -9\/5*v**2 + 3\/5*v**4 - 12\/5*v + t + 6\/5*v**3.\nAnswer: 3*(v - 1)**2*(v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*k**3 + 149*k**3 + 145*k**3 - 443*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 341335441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 2*j - 7. What is b(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.08 - -4.18. Let g = d - -2.9. Let x = 16.1 + g. What is the biggest value in x, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562*t - 11*t**2 - 280*t - 282*t.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 w, and 1 n when four letters picked without replacement from ndjdjjjddjujwww?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-19*(-20)\/1140)\/(2\/(-36)))\/(-146)\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s - 126. Calculate f(-14).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-5024851.\nAnswer: -4522365.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 - 49. Let g(t) = -t + 11. Let l be g(4). What is the highest common factor of l and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, q: 3, b: 3, w: 1, c: 3}. What is prob of picking 1 l, 2 b, and 1 q?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5708*a + 7686 - 16846 - 13863 - 16933 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124960*k**3*l**2 + 2*k**3 - 2*k**2*l - 161*k*l**2 + 20*k*l + 36*k wrt k?\nAnswer: 749760*k*l**2 + 12*k - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2312 is divided by 755?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94921\/27 - 3515. Let r = y + -134\/135. What is the third biggest value in -1, -13, r, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(450\/(-325)) + -9. Determine p, given that -2\/7*p**5 + 0*p**3 + 0 + 2\/7*p - 4\/7*p**j + 4\/7*p**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485*y**3 - 3*y**2 - 952*y**3 - 24 + 3*y**2.\nAnswer: -467*y**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25206 + 25083. Sort i, 4, -5, -9 in decreasing order.\nAnswer: 4, -5, -9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36a2 (base 11) to base 16\nAnswer: -12df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378*h - 354*h = 240. Calculate the highest common factor of h and 2515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*z - 5*h - 19, -5*z - 5 = 5*h. Suppose -3 - 23 = -z*o. Solve -27*q - q**3 + 3*q - o*q**2 + 5 - 14 - q**3 = 0 for q.\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 3\/143, 0.15, -0.05?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 2*s. Let h(i) = 5*i**2 - 10*i - 1. Let u(v) = -v - 6. Let g be u(-4). Let j(b) = g*h(b) + 11*x(b). Let a be j(3). Solve -3*t - 4 = -a*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -632118 or -4424822\/7?\nAnswer: -632118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, h: 3}. What is prob of sequence cc?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -61188, -61187, -61186, -61185, -61184?\n\"Answer: l - 61189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 159\/5 bigger than -4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10221211 + 20220?\nAnswer: -10200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32260296 divided by 185404?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 + 2*f**2 - 2*f - 2. Let a(z) = 80*z**3 + 11*z**2 - 8*z - 10. Calculate -a(w) + 5*c(w).\nAnswer: -95*w**3 - w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, y: 9, b: 2}. Give prob of picking 2 y.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**6\/15 + 20*p**4\/3 + 55*p**3 + 2*p - 65. Find the second derivative of m(f) wrt f.\nAnswer: 24*f**2 + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t + 7. Let o be u(6). Let n = 22 + o. Suppose 0 = n*i - 2*g - 732, 2*i - 57 = -4*g + 231. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**1\/z*z)**(-2\/53)\/(z**(-1\/4)*z**(-4\/9)*z))\/(((z*z**(-3))\/z**(1\/4))\/(((z\/(z**1*z))\/z)\/z)**(2\/113)) assuming z is positive.\nAnswer: z**(195755\/107802)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 98484, 394083, 886790, 1576605, 2463528?\n\"Answer: 98554*g**2 - 63*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.017 - 0.217. Which is the closest to -1? (a) 0 (b) 1\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 2, -2, 10\/9 in decreasing order.\nAnswer: 2, 10\/9, 4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 16 = m, 5*h + 5*m = 3*h. What is the least common multiple of 45 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5.4. Let f = 14 - 11. Let s = f - y. Put -4, s, -5 in increasing order.\nAnswer: -5, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16463002 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*j - 294 - 146. What is the tens digit of ((1119\/(-4))\/(-3))\/((-5)\/j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108 (base 10) to base 4.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3512 - -7021\/2. Which is the closest to -13? (a) -2 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(3\/(-2))*-291. Calculate the common denominator of (f\/(-4))\/(4\/(-2)) and (-31)\/14 + (-6)\/(-12).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16418 (base 13) in base 14?\nAnswer: 11676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61.1825 + -0.0175. Let v = -212 + 273. Let y = v + m. Is -2 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = -u. Let v be 72\/32 - u\/8. What is the second derivative of 10*h**v + 0*h - 2*h + h wrt h?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n**3 - 96*n**2 - 30*n - 9. Let m(c) = 19*c**3 - 189*c**2 - 65*c - 20. What is -5*m(z) + 11*o(z)?\nAnswer: 4*z**3 - 111*z**2 - 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 846\/(-6345)*(-1)\/3.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -24*j - 0. Is j - (-780)\/(-42)*(-4 - 3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) -0.4 (c) -0.61 (d) -15\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 330*c**6*k**3 - c**2 + c*k**3 - 4*c*k wrt c?\nAnswer: 39600*c**3*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.33692\nAnswer: -1.34768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-38)\/(-14) - 8\/(-28). Let x = -1 + s. Solve -16 = -4*u - 2*c, -x*c = -4*u - c + 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7*z = 2*z - 12, 28 = -2*c - 5*z. Let q be (-136)\/(-32) + 1\/c. Calculate the remainder when (q\/(-3))\/((-13)\/234) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3092)\/16 - -3*(-5)\/(-60). Let b = f + 217. Solve -4*r - 4 = -b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqkdundddnuuhkkddu. Give prob of sequence un.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1009*p**3 + 1 - 503*p**3 - 509*p**3 + 1581*p - 285*p.\nAnswer: -3*p**3 + 1296*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 + 5)*5\/(-8). Solve -12 + 2 = 2*j, -2*r = -a*j - 29 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/31 - -163\/124. What is the nearest to 3 in 0, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000763157 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 46170, 92280, 138390, 184500?\n\"Answer: 46110*h + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 1. Let q(x) = 4*x + 5. Let r(f) = -4*q(f) - 18*s(f). Suppose -p - 2 = -0. Let y = p + 0. Determine r(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0629 rounded to one dp?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -220*m**4 - 7*m**3 + 7*m**2 - 7*m + 61. Let g(t) = -73*t**4 - 2*t**3 + 2*t**2 - 2*t + 20. Let c(o) = 7*g(o) - 2*i(o). Differentiate c(h) wrt h.\nAnswer: -284*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 11:00 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2501*c**2*i*z**2 - 829*c**2*i - 4*c*i - 4*c*z**2 + i*z + 2*z**2 - 2*z wrt z.\nAnswer: -5002*c**2*i - 8*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 37) + 12 - (-1 + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7970*v**5\/13 - 39236*v**4 - 8654652*v**3\/13 - 15799448*v**2\/13 - 7635362*v\/13 + 11532\/13 = 0 for v.\nAnswer: -31, -1, 6\/3985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11735 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 7*z**2 - 2*z + 3. Let i be f(6). Let a = -45 - i. Solve 2*o = -a*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, j: 12, c: 5}. Give prob of sequence cj.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 45 + 9*c - 76 + 44 - c**3 - 6*c**2. Let n be g(-7). Let b(x) = -23*x**3 + x**2. Determine b(n).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**2*n**5 - 226*f**2*n**3 + 3*f**2 - 22*f + 3*n wrt n?\nAnswer: 80*f**2*n**3 - 1356*f**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5089 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 7:55 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*c**5 + 3052*c**4 - 13770*c**3 - 45400*c**2 + 214688*c - 54912 = 0. Calculate c.\nAnswer: -143, -4, 3\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19293812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -h - 4, -h - 12 = 10*a - 6*a. Let i(l) = -1 - 2*l**2 + 4 + 12*l**2. Is i(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631524754*k - 88*k**2 + 81*k**2 - 631524758*k.\nAnswer: -7*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + 122?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6090015 to the power of 1\/2, to the nearest integer?\nAnswer: 2468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 3621.62665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 337?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/4)\/(5\/(-10)). Let r be (5 + s)\/(8 - 9). Solve r*u - 4 = -3*i - 3, -u = 2*i + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -457 + 459. Suppose 3*s - 27 = -0*s + q*o, -2*o = 0. What is the lowest common multiple of s and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 6*y + 4. Let l be w(6). Solve 4 = l*g - 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -318*u**4 - 2*u - 4 wrt u?\nAnswer: -3816*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - -823)\/(-1 + -2 + 2). Let h = 4270 + u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -66\/17 (c) 1\/6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -52, -109, -204, -337, -508, -717?\n\"Answer: -19*k**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 13*h**2 - 409*h - 3520. Calculate p(-9).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 + 211*r**2\/5 + 816*r + 3420.\nAnswer: (r + 6)*(r + 15)*(r + 190)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 2*v**2 + 11*v + 37. Determine z(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -36*t - 70 + 19, 0 = -233*z + 230*z + 3*t + 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -18. Suppose -3*q = -r + 5. Suppose l = q*l - 444. List the prime factors of l.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*b = 75*b + 48. Suppose -i + b*a + 193 = 5*a, -3*a - 12 = 0. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 2\/17 (c) -3.4 (d) 7 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 4, y: 10}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348 and 21734572.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 210364474 take away 1437.089?\nAnswer: 210363036.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.2, 10452, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Let w = z - -4. Let a = w + -4. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 + 149 = -2*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 303280149989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 157552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 166435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -119364.7 (c) -87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -14*m**2 + 276*m + 31. Let d be r(19). What is the highest common factor of d and 182?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 154, 365, 670, 1075, 1586?\nAnswer: 2209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 3*c**2 + 5*c + 3. Give y(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d. Let w(c) = -c**3 - 23*c**2 + 82*c + 51. Let q be w(-27). Let k = q + -749. Give x(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*f**2 + 214*f - 28*f**2 + 44*f**2 wrt f.\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*z - 3*z - 6, 2*q - 7 = z. Let w be (6 - q - 3)*1. Factor w + 14\/5*b**3 + 0*b - 2*b**4 - 4\/5*b**2.\nAnswer: -2*b**2*(b - 1)*(5*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 - o**5 + o**5 + (3 - 2 + 0)*(2*o + 0*o - 4*o)*(-2*o - 12*o + 3*o)*(-3*o**3 + 4*o**3 + o**3).\nAnswer: 43*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 52 = -10*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 5*l - 1. Let j be 32\/30 + 12\/l. Which is the nearest to j? (a) 0.4 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 144 - 131 = -5*b, 2*z = 3*b + 143. What is the greatest common factor of 128 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 * -362591\nAnswer: 13415867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.3, 0.09, 3, 0.02 in decreasing order.\nAnswer: 3, 0.3, 0.09, 0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 815531117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 5:18 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a - 280251113 + 44809041 = -121*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17*p - 24. Let v(d) = -d - 1. Let h(j) = b(j) - 6*v(j). Let x be h(2). What is the greatest common divisor of 154 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87084234 to the power of 1\/3, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-14)*16\/2. Calculate the greatest common divisor of 30 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(15)\/sqrt(5) - (sqrt(54)\/sqrt(3) + sqrt(18) + sqrt(18))\/sqrt(6).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*w*z**3 - 33*w*z**2 + 2*w*z + 120*w - 3*z**3 - 637*z**2 - 4243*z - 1 wrt z.\nAnswer: -48*w*z - 66*w - 18*z - 1274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -10 - (-31 + 4)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2) + (-7)\/(-7). Let d = 26420\/11 - 2405. Let l = d - -278\/77. What is the second biggest value in 0, q, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -443 - 173048?\nAnswer: -17348b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h - 2. Let q(i) = -216*i + 420*i - 192*i. What is q(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 218, 294, 352, 386, 390?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -236007*0.023\nAnswer: -5428.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0*n + 1\/6*n**3 + 1\/30*n**5 - 1\/336*n**8 + 1\/8*n**4 - 1\/70*n**7 - 29*n**2 + 0 - 1\/60*n**6. Find z, given that k(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56*22\/(-44) + (-6)\/2)\/1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04811 and -0.2.\nAnswer: 0.009622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, h: 7}. Give prob of sequence fh.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2710 + -1430. Calculate the greatest common factor of 288 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 - 32*o**3 + 4*o**3 - 11*o**3.\nAnswer: -33*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5877618 = -52*a + 46*a + 103*a. List the prime factors of a.\nAnswer: 2, 3, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or -399?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29618*y = 29464*y - 4004 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f + 3*f - 5*f)*(2 - 4 + 1) + 1444 - 1444 - 85*f to the form i + q*f and give q.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 323894, 647793, 971692, 1295591, 1619490?\nAnswer: 1943389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1 - 9*r**2 + 4*r - 4*r. Let z(v) be the second derivative of 2*v**4\/3 - 17*v. Let i(t) = -4*b(t) - 5*z(t). Let i(m) = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -2 + 6 + -5912*2075\/(-200)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**3 + f**3 + 11*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**(-1)\/q)*q*q))**(3\/7)\/(q**(1\/6)*q*(q\/(q\/q**(-2\/7)))\/q*q))\/(q*q**(-1)*q**4*q)**(12\/13) assuming q is positive.\nAnswer: q**(-3937\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**2 + 0 + 0*s**4 + 0*s + 1\/60*s**5 + 0*s**3 + 1\/120*s**6. What is the third derivative of j(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -269000 divided by 4\nAnswer: -67250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.31 + 0.21. Sort 0.04, 0.5, -2, p.\nAnswer: -2, p, 0.04, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1063 and 253326719.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18180, -36073, -53980, -71907, -89860?\nAnswer: -107845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 8*m**2 - 8*m + 4. Let z be l(-7). Let b = -16 + z. Let x = 3 - 3. Sort b, 1, x.\nAnswer: b, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/490*49)\/((-2)\/(-228))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/144*(-2)\/(-1) - (-342)\/(-16)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 - 6*u + 9. Let i be j(-7). Let w = 0.048 - 0.148. Let q = 15 + -14. Which is the closest to w? (a) i (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(-15 + 25 - 42)*(-i + 7*i**3 + i**3 - i**3)*(-2 + 0 + 3).\nAnswer: -672*i**3 + 96*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*b = -6*z + 22, -4 = -2*z - 2*b. Sort -1, z, 24, -0.1 in descending order.\nAnswer: 24, -0.1, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/2))\/t**3)\/(t**(2\/7))**(2\/125) assuming t is positive.\nAnswer: t**(-4383\/1750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1840 + -4760. Round l to the nearest 100.\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(343) - (-2 + sqrt(343) + 4)**2) + sqrt(343).\nAnswer: -348 - 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -35*s + 90. Let p = -7 - -11. Suppose 0 = 2*q - s*q - 2*z + 41, -p*q = 4*z - 152. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4 + 22*h**3 + 300*h**2 - 504*h - 6480 = 0. Calculate h.\nAnswer: -6, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 + 4*f + 3. Let q(x) = 4*x**2 + 3*x + 5. Let m(t) = 3*h(t) - 2*q(t). Let n(d) = 23733 - 23733 - d. Determine -2*m(w) - 11*n(w).\nAnswer: -2*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*p + 57*p + 2*y + 6, -10*y + 94 = 6*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-780 + 780 + 509*l)*(4*l**2 + 0*l**2 - 3*l**2).\nAnswer: 509*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/426 in 6\/5, -74, -4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*k. Suppose y - 3 - 2 = k. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*8 + (-210)\/(-27). What is the third smallest value in -202, -3\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1067074072 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0.1, -4, 25\/9, -12, -0.2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u = 5*q - 6, -4*u + 8 = -3*q. Suppose f = -q*f + 2*w - 3, 5*f - 2*w - 25 = 0. Calculate the remainder when 26 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/20 - (-142)\/5. Let p = -1170 - -1178. Let c = l - p. Calculate the remainder when 57 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9270*n**3 - 520*n - 3?\nAnswer: 55620*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 520781.981 rounded to the nearest ten?\nAnswer: 520780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -9, -21, -37, -57?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79498 - 33628 + 39487 = -1912*z - 90547 for z.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*p + 3 = 0, -3*o = -4*o - p - 3. Let g = o + 72. Suppose -4*z + g + 15 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20243\/3265 - (-1 + 6\/5). Let v(n) = -9*n + 45. Let z(g) = 5*g - 23. Calculate k*v(y) + 11*z(y).\nAnswer: y + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 - 454\/(-24)) + 1\/4 and -28\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.39 - -0.31. Let d = g - 2.1. Let c = 269 - 5109\/19. What is the nearest to 0 in c, -4\/7, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/(-7))\/(1\/7). Suppose 0 = -17*h + 13*h + 48. Calculate the greatest common divisor of h and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22114 (base 12) to base 14.\nAnswer: -12608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 7*q. Let y(v) = -5*v - 129. Let s be y(-27). Solve q*b = -5*i - b + 3, -5*i + 2*b = s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**5\/20 + n**4\/6 + n**3\/6 - 3*n + 3. Let k(a) be the first derivative of p(a). Factor k(j).\nAnswer: j*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -65*c - 74. Let t be q(-6). Let f = -317 + t. Is -2\/99 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**43*o)\/o)\/(o**(-11\/2)*o))\/(o**9*o*o**9*o) assuming o is positive.\nAnswer: o**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86909712, 86909717, 86909724, 86909733, 86909744, 86909757, 86909772?\nAnswer: 86909789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c + 0*c + 5*c + 4*c**3 wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74398.\nAnswer: 2, 37199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6813.115 years?\nAnswer: 68.13115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 2*h + 0*h - 5*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*v + 12312 + 19560, -4*v = -15*o + 119520. What are the prime factors of o?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 23*a + 80. Let y(j) = -7*j**2 - j + 4 + j**2 + a*j**2 + 2*j**2. What is y(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.502875 and -0.31.\nAnswer: 0.46589125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/15)\/1)\/((-43)\/(1075\/(-10)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 60*y**2 - 705*y + 760.\nAnswer: 5*(y - 19)*(y - 1)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - 14*c**2 - 15*c - 4. Let k be v(8). Suppose -3367 = -0*b - 5*b - g, k*b + 5*g - 2702 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1278, -2, -10 in decreasing order.\nAnswer: -2, -10, -1278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-1\/4))**27\/((l*l**(-2\/7)*l)\/l*l\/l**(-3)))\/((l**(2\/15)\/l)\/(l*l**(-3)*l)*(l\/(l\/(l*l*l**(-4)*l*l*l)))\/l**6) assuming l is positive.\nAnswer: l**(25579\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26334 and 20862?\nAnswer: 1606374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6284 in 6, 1\/5, -8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 6*s - 54064, -v = -3*s + 5*s - 18024. What are the prime factors of s?\nAnswer: 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*(2 + 8))\/2. Suppose -n*o + 28 = 8. Suppose -2*p = -0*p. Solve p*b = -o*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 2:37 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1393 + 4566. What are the prime factors of j?\nAnswer: 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*m + 648, -p + 355 = 3*m + 27. Solve -p*v = -319*v - 24 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2300 + 2297. Which is the smallest value? (a) r (b) 4\/5 (c) 10 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 4*x + 5*v, -v - 97 = -3*x + 7*x. Sort 1, x, 7, 3 in decreasing order.\nAnswer: 7, 3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -55. Let y(x) = -106*x + 37*x + 19 + x**2 + 58*x. Let o be y(a). Which is smaller: o or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8818 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113034 + -3?\nAnswer: -113040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7545 = 4*a + 2745, 2400 = 2*a - 2*o. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h**2 - 6*h - 2. Let y(n) = -n**3 + 10*n**2 - 10*n - 9. Let o be y(9). Let f be (o\/15)\/(3\/10). Let b(c) = c**2 - c. What is f*b(i) + x(i)?\nAnswer: 3*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2213.884 - 2213.58399925. Let x = 0.3 - s. Round x to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14744 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Suppose -p*c - 2 + 11 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52235 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109320 = -58*x + 63*x. Suppose -3*w + s + 21844 = 0, -8*w + 3*s = -11*w + x. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.6453306 to 3 dps.\nAnswer: -67.645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 473*-0.6668\nAnswer: -315.3964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102952 rounded to the nearest one thousand?\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h. Let z(m) = 2*m**2 + 30. What is z(k(t))?\nAnswer: 8*t**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 m, 1 f, and 1 d when four letters picked without replacement from {z: 7, e: 1, q: 1, f: 2, m: 1, d: 5}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**6\/600 + 11*w**5\/300 + 23*w**4\/120 - 7*w**3\/6 - 47*w**2 - 159*w. Let d(v) be the first derivative of t(v). Factor d(s).\nAnswer: (s - 1)*(s + 5)*(s + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.40974 years to millennia.\nAnswer: 0.05840974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, o: 2, z: 6, j: 5, n: 1, c: 2}. What is prob of picking 1 n and 2 o?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 2*g + 78*g**3 + 9 + 70*g**3 - 157*g**3 + 1 - 1 - g**3 + (2*g**2 + g**2 - 2*g**2)*(0*g + 2*g - 3*g).\nAnswer: -11*g**3 + 2*g**2 - 2*g + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385659?\nAnswer: 11, 103, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 69.89079 years?\nAnswer: 838.68948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12782*l**4*t + 4*l**2*t**3 - l*t**3 - 271*l - 86*t**3 wrt l.\nAnswer: -153384*l**2*t + 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 14 = -4, 0 = -4*u - 3*f + 607. Let m = u + -17. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36192 is divided by 12064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11213332201 - -2100?\nAnswer: 11220000301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 7. Suppose 0 = h - 4*h + d. Let z(c) = -3*c + 4 + 3*c**2 - 2*c**2 + 0. Give z(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3, -5*v - 4*t + 4 = -9. Suppose 11 = v*f + 4*m - 2, 5*f + 5 = 5*m. Solve -f = p - 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 10*u - 15556 = -4*l, 3*l - 5*u = 11660. Let y = l - 379. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288002223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1884 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002179 rounded to seven decimal places?\nAnswer: -0.0000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 218385 and 1188985.\nAnswer: 10700865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r = -3*r. Suppose 3*l - 9 = 3. Solve r*a + a + l = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 19. Let b be 53 + -2 + l + 0. What is the least common multiple of 6 and (-2)\/(-9) + b\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*v - 1716 + 5022, 5*v = 5*x - 8265. Let l = v + -93. Let o be l\/(-819) - (-4)\/26. Is 3 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14794 + -59169\/4. Solve -o*i**3 - 9\/2*i**2 - 5*i - 2 - 1\/4*i**4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110795.\nAnswer: 5, 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(243)*1 - (-3 + sqrt(243) + 2).\nAnswer: 1 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 - 30*s + 6 + 30*s + 2*s**4 + s**2 in the form o*s + x*s**3 + r*s**4 + t + m*s**2 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -219*d**2 + 55\/3*d**3 + 0*d**5 + 0*d + 0*d**6 + 0*d**4 + 0 + 3\/10*d**7. What is the derivative of f(b) wrt b?\nAnswer: 252*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 8*s**2 + 5*s - 2. Let v(j) = 2*j**2 + 3*j - 1. Calculate the remainder when v(-5) is divided by t(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(40\/24 - (-2)\/(-3)). Suppose -2*h = c, 2*d - 4*d = 5*h - 597. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1076128 to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -2, -4, 522 in descending order.\nAnswer: 522, 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 6:10 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 218 = -212 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*t*v**5 - 734*t*v**3 - 12*t*v + 60*t wrt v.\nAnswer: 60*t*v**3 - 4404*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 - 4825*x\/3 - 30438.\nAnswer: -(x + 19)*(x + 4806)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 122 + 38*r**3 + 52 - 54*r**2 + 122*r - 40*r**3.\nAnswer: -2*(r - 3)*(r + 1)*(r + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 2*l + 2*l = 0. Let x be (l - 15\/(-5))\/(-1). Sort x, 2, 71 in descending order.\nAnswer: 71, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 0 + 0 - 3*d. Let z(p) be the second derivative of 29*p**3\/6 - 708*p. Calculate v(z(q)).\nAnswer: -87*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 + 5*h + 20. What is a(-8)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n. Let d(z) = 15*z + 203. Let g be d(-13). Let t(w) = 1 - g - 2 + 4*w. Give x(t(b)).\nAnswer: -8*b + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8234392 rounded to 2 decimal places?\nAnswer: 6.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.01211 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201291624?\nAnswer: 2, 3, 19, 269, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.786 + -1.286. What is the nearest to 2 in 3, s, 1\/143, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Suppose 3*v + 45 = 6*v. Suppose -v = p*u - 5*u. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 11*a**2 - 14*a - 38. Let u be w(-10). Suppose 5*o - 5*n + 8*n = -2, 0 = -5*o - u*n + 2. Solve 5*z + 0 = c + 14, -z + 1 = -o*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-21 - -13) - (-16 + -4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 858.\nAnswer: -3, -1, 858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 2.037.\nAnswer: 0.2037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -29 - ((0 - 3) + 4). Let k = -94 + 60. Let h = d - k. Solve 5*j - 25 = 2*n - 5, 20 = -h*n + 5*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-12 + (8 - 2) - (0 + -14)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7171 + -7171. Solve a = -3*r + 9, 56*p - 59*p - 15 = -2*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 170424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 171 = -4*c. Solve 5*d - 2*a - 2*a = c, -3*a + 6 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37115508?\nAnswer: 2, 3, 3092959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76562 - 27289. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 851*d**2 + 10*d + 7. Let a(n) = n**2 + n - 10. Let q(m) = a(m) + c(m). What is the second derivative of q(f) wrt f?\nAnswer: 1704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-39)\/18) + -1. Let l be (-106)\/28 - 3\/6. Let u = l + 83\/21. Which is the biggest value? (a) p (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1160 and 17027205.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -11763*c + 188203. Give q(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*b + 104, 4*o - 5*b - 108 = -b. Let l(n) = -n + 29. Let h be l(o). Suppose -3*c + 4*a = -15 - h, 0 = 2*c - a - 6. Solve 2 = -3*q - c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**5 + 53*y**4 + 19198*y**3 - 45881523*y?\nAnswer: -40*y**3 + 636*y**2 + 115188*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3231 + -3110.16. Let b = -165.8364 + w. Let u = b + 45. What is u rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - d**2 - 2*d - 3. Let f be p(0). Let x = 9 - 4. Put x, 0, f in decreasing order.\nAnswer: x, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -0.581?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(112) + (sqrt(112)*1 - sqrt(112) - sqrt(112))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3*(sqrt(7) + sqrt(7) + -1 + 1) - -1*sqrt(252)*6))**2*1.\nAnswer: 84*sqrt(7) + 12349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 9 - 3*l**4 - 6*l**3 - 9 + 0 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6884 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-584)\/60 + 10 + 2 + 8\/(-5). Let y(u) be the first derivative of -25 - 4\/9*u**3 - j*u**2 + 8*u. What is t in y(t) = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70305.32 meters to kilometers.\nAnswer: 70.30532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54336908*l*s**2 - 6*l*s + 20466*l - 2*s wrt s?\nAnswer: -108673816*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 5:41 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61246 and 15718.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*d + 110166 = 11*d, -d = 4*k - 146885. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b061 (base 16) to base 3\nAnswer: -200221102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35025 + 40465?\nAnswer: 105523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11620 - 2602869\/224. Calculate the common denominator of -69\/8 and z.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 5:29 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/9 and 71\/1643400.\nAnswer: 1643400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14591 less than 1181763286?\nAnswer: 1181763286.14591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/9)\/(s*s\/((s\/(s\/(s\/(s*s*s*((s**5*s)\/s)\/s))))\/s)*s))\/(s**(-2\/3))**(-2\/27))\/((s**1)**(2\/9))**(3\/17) assuming s is positive.\nAnswer: s**(-14198\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 727 + -726.098. Let d = 0.97 - v. Let p = d + -0.068. Which is the nearest to -5? (a) 2\/17 (b) p (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 609.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 955 - 6*z**3 - 4*z**3 - 955 - 7*z - z**2 to r*z**2 + j*z**3 + t + l*z and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 minus -48716.88?\nAnswer: 48523.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i + i)*(-i**3 + i**3 + i**4) + (2*i - 3 + 3)*(4*i**2 - i**4 - 4*i**2) - i**2 + i**5 + i**2 - 1492*i**5 + 188977*i**4 - 188977*i**4.\nAnswer: -1491*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**3 + k + 27 - 28 + 3*k in the form a*k**2 + r + d*k**3 + t*k and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2790 + 2795. What is the nearest to -17 in -2\/13, t, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4690*g**6*z**2 + 26*g**3*z - 456*g**2*z - 6535*g*z**2 - z**2 - 2 wrt g.\nAnswer: 562800*g**3*z**2 + 156*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h**2. Let t(j) = j**3 - j**2 - 8*j + 4. Let n be t(3). Let v(p) = 6*p - 5. Let w(o) = o - 1. Let y(i) = n*v(i) + 10*w(i). What is y(z(d))?\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -100000010001110 (base 2) to base 11\nAnswer: -11464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - j**2 + 0*j**2 + (2 - 3 + 3 + (-2 + 1 + 0)*(3 - 4 - 1) + 1 + 1 - 3 - 4 + 0 + 5)*(-43*j**2 + 332*j**2 - 4*j**2).\nAnswer: 1142*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*d - 6, -a - 3*d - 1 = -d. Suppose -4*y = 6 - 2. Let q = 18 + y. What is the least common multiple of q and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*(2 - 39\/9). Suppose 3*a - 6 = -3*m + c, 0 = 2*m - 4*a - 36. Suppose 3*f = 4*f - m. What is the greatest common divisor of f and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/11 and 39*-1*(-8)\/18.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/36*-13 - (-20)\/30?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -573, -1353, -2531, -4305, -6873, -10433?\nAnswer: -15183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(12) + 4 + sqrt(192))**2*6.\nAnswer: 3600*sqrt(3) + 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42ca5 (base 14) to base 15.\nAnswer: 32d69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(13)*2)**2 - (sqrt(52)\/sqrt(4)*5 + sqrt(13))**2 - sqrt(520)\/(4*sqrt(40)\/sqrt(4)).\nAnswer: -sqrt(13)\/2 + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 6*v + 2*j = -2256, 12 = -4*j. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 + 2*w**2 - 2. Let m be q(-2). Let n = -6 + m. Solve 3*s + s - 8 = 2*p, -5*s = 4*p + n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.2, 306\/23, 93, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17640 is divided by 74?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q = 13*q + 1552. Does 71 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5 = 0, -5*p = -0*n - n + 40. Let z(m) = -3*m**2 - 6*m - 25. Let q(v) = -2*v**2 - 4*v - 17. Let c(f) = 7*q(f) - 5*z(f). Is c(p) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + 2. Let i = -21 - -21.2. What is the closest to -0.1 in f, 1\/2, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -47754233.\nAnswer: -5\/47754233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {r: 6, s: 3, p: 1, w: 2, m: 7}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/9)\/(b**(-2)*b)*(b*b*b**2*b)\/(b\/b**(-2\/7))*(b**(-3\/2)\/((b*b**(-2\/3))\/b*b))**8 assuming b is positive.\nAnswer: b**(-620\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**2 - 3 - v**2 + 2)*(-2*v + 2*v - 17*v)*(-v - 2*v + 5*v) in the form w*v**2 + q*v + l*v**3 + k*v**4 + o and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -34*k**3 - 1. Calculate the remainder when 166 is divided by t(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 13 = 3*h. What is the nearest to -18 in h, 1\/9, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 1.07\nAnswer: -6.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7323 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**3 - 66*m**2 + 183*m - 1061. Give z(-25).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 11*n**2\/2 + 17*n - 14. List the prime factors of h(8).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**4\/4 + o**3\/2 - 2*o**2 + 85*o. Let y be (-1)\/(-3) + (-11)\/(-3). What is the remainder when v(y) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004158729 to five decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.850766 * 9\nAnswer: -7.656894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*3 - sqrt(48) - sqrt(48))\/sqrt(12) + sqrt(4))\/(sqrt(162)*5).\nAnswer: 2*sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 0*m - 230*m**2 + 22\/15*m**5 - 7\/3*m**4 + 1\/105*m**7 + 0*m**3 - 17\/60*m**6 + 0. Factor t(q).\nAnswer: 2*q*(q - 14)*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19129 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7889569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6630 and 101655801.\nAnswer: 1016558010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 27, -2\/9, 4, -7\/65 in descending order.\nAnswer: 27, 4, 4\/5, -7\/65, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Suppose -106 = -o*a + 2*h, 56 = 2*a - 2*h - 2*h. Let z = a + -16. What is the highest common factor of z and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-859276692)\/171)\/(-2) - 12\/(-228) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001010 (base 2) in base 7?\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 302845 or 302842?\nAnswer: 302845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31545946 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*g**3 - 27*g**3 + 50*g**3 + (-38 - g**2 + 38)*(-g - 3*g - g) in the form q*g + x*g**3 + w*g**2 + n and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iosi when four letters picked without replacement from {i: 2, o: 2, s: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 79 - -7?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u**(-20\/7)*u)*u)**0\/(u**(-31)*u*(u*u**(-27)*u)\/u*u*u) assuming u is positive.\nAnswer: u**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.29149573 and 9560603?\nAnswer: 9560603.29149573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3134 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 348704?\nAnswer: 1743520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2. Let b(p) = 2068*p. Give b(u(w)).\nAnswer: 4136*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/405*1350\/(-100))\/(2*(-2)\/(-292))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -67. Which is the closest to f? (a) 0.1 (b) -5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*-1*2*sqrt(228))\/(6*3*-2*sqrt(12)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l = 25*l - 5*j - 10, l = 2*j + 10. Suppose 3*r - 10 = -2*u, r + 2*r = u - 5. Let p = r - -1. Solve 3*c - 5*t - 1 = 0, -2*t - p = l*c - 7*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*b = 4128, 0 = 3*y - 8*b + 6*b - 2476. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3285?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + 14. What is the remainder when 65 is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 44?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*p - 9. Suppose 21*q - p = 20*q. Solve j = 4*d - 0*j + 9, -q*d = -3*j + 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 5*g**4\/6 - g**3\/6 - 11*g**2\/2 - g. Let s = 2529 - 2527. Let q(p) = 2*p**2 - 2. Give s*r(m) - 11*q(m).\nAnswer: -2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 6. What is the least common multiple of 6 and h(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -275 (c) 16\/105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -11025*p**2. Let v(w) = 62*w**2. Calculate d(v(c)).\nAnswer: -42380100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**5\/6 + 4*p**2. Let y(j) = -4*j**2 - 30*j. Let q(z) = -9*z**2 - 65*z. Let d(v) = -6*q(v) + 13*y(v). Calculate b(d(a)).\nAnswer: -40*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.757 * 0.05\nAnswer: -0.08785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12541 - -5263?\nAnswer: 21134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 + -0.17. Let p = -5 - -4.6. Let x = p + 0.3. What is the nearest to x in 5, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60273200*b**3*n*r + b**3*r + 2*b*n*r - 158*b*n - 152*b*r + 633*n - 1 wrt b?\nAnswer: -361639200*b*n*r + 6*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2. Let n(o) be the first derivative of 4092*o**3 - 3959. What is n(m(k))?\nAnswer: 49104*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3811.1052 + 3812. Let o = 0.87 - h. Round o to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6060\/4650)\/((-8)\/(-5)) + (-174)\/2697?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -228, 1, 4 in increasing order.\nAnswer: -228, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2697 and 18?\nAnswer: 16182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5509703 and 5002.\nAnswer: 2501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 48*l = -25*l - 1560. Suppose 0 = 4*m - 2*m - 106. Suppose 3*f - 2*h = -79, 3*h - m = 3*f + 25. Do f and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qctuf. Give prob of sequence uf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, h: 2, n: 5, x: 3}. Give prob of sequence xxx.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -241 + 477 - 236 - 7*w to the form q*w + z and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 335 + -333. Suppose -4*x - 16 = -2*t, -5*x = -y*t + t + 5. Solve -3*n = -5*l - t, n + 3*n = -2*l - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8205844 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485769369.\nAnswer: 7, 212252767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y - 10 = 0. Solve 4 = -0*s + y*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(5\/1575*5). Let x = a + 69. What is the first derivative of -5 - x*h**3 - 8 - 3 wrt h?\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*c - 4482, 0 = 108*q - 107*q - 5*c - 2229. What is the remainder when q is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 3*k + k)*(k - 2*k + 2*k) + 51*k - 1 - 51*k + 6*k**2 to the form w*k + i + c*k**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 126*w**2 + 116*w**2 + 54*w**2 + 3*w - 233*w**2 in the form i + u*w**2 + j*w and give u.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -3, -8, 1 in ascending order.\nAnswer: -8, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/108652 and 87\/9448?\nAnswer: 217304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 78*(-101 + (-5481)\/(-54))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c**4 + 7*c**3 + 5*c. Let p(g) = -5*g**4 - 4*g**3 - 2*g. Let s(k) = -7*p(k) - 4*x(k). What is the second derivative of s(o) wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/13 - 126*b + 8240\/13 = 0.\nAnswer: -824, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 1 = -4*q - w, -9 = 3*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 1 b when three letters picked without replacement from mmbbaywwaaaama.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g - 9*g + 6*g)*(2 - 5 + 4)*(-g + 5 - 5).\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -6, 4\/15, -0.2?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = h - 80. Let c be (6\/5)\/(6\/h). Suppose -2*d - 12 = -4*o - 36, 48 = c*d - 3*o. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -3, 11 in decreasing order.\nAnswer: 23, 11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 - 61. Suppose -6*y = -z*y - 3. Suppose 4*b + 19 = y*v - 2*v, -4*v = -4*b - 28. Solve v*u + 35 = -4*s, 5*s = -3*u - 15 - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/5)\/z)\/z**(-3\/14))**(-2\/39) assuming z is positive.\nAnswer: z**(-1\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592 = -h - 7*h. Calculate the highest common factor of h and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 26560*l = -26559*l + 72, 39*c + l + 972 = 0 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from fffiffiiiffffffiifi.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/325611 and 54\/3289?\nAnswer: 325611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37297343, 74594662, 111891981, 149189300?\nAnswer: 186486619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16315617 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3417, -6857, -10387, -14049, -17885, -21937?\nAnswer: -26247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-198)\/(-156)*(-2)\/12. Let r = -6\/13 - h. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**(2\/7)\/b*b*b*(b**(-2\/9)\/b)\/b)\/(b*b\/((b\/(b\/b**(2\/3)))\/b))**(-9\/10))**(-40))**(-5\/6) assuming b is positive.\nAnswer: b**(19930\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 377144 - -5?\nAnswer: 377150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/((v\/(v*v**(1\/48)\/v))\/v))*v**(-34) assuming v is positive.\nAnswer: v**(-1633\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2682139538?\nAnswer: 2, 13, 17, 6068189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {v: 1, f: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11955.477103 + -10342.47822. Let h = p + -1613. What is h rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -28*f - 27. Let h be l(-1). Suppose 3*k = k + 6. Is k less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 t, and 2 h when four letters picked without replacement from {h: 3, t: 1, u: 2, v: 7, b: 1}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 24. Put 2, 4, t in increasing order.\nAnswer: 2, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/40 and 31\/300208.\nAnswer: 1501040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49149696209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -q - 20, 3*p = 2*q - 122. Let r = 18 + -32. Let n = r - p. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + 0 + 0 + f - 2*f**2 - f + (2*f - 3*f + 3*f)*(0*f - f + 0*f) + 4*f**2 - 2*f**2 - f**2 + (164*f + 150*f - 189*f)*(f + f - 3*f).\nAnswer: -130*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 393, -2337, -9843, -24543, -48855, -85197, -135987?\nAnswer: -203643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u + 73*u + 281 = -1045 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31655 and 64363.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77594 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -148. What is the smallest common multiple of l and 56?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 13\/1566938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1440)\/(-30) - 47)\/((4\/(-258))\/(12\/(-18))).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {u: 1, x: 1, i: 3, a: 3, m: 4, v: 5}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/(-10))\/(-5 + 78\/10). Which is the fifth smallest value? (a) x (b) -2\/21 (c) -0.5 (d) -1 (e) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 5*p + 4*p)*(-4 + 1 + 0).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44, 115, 228, 377, 556?\n\"Answer: -k**3 + 27*k**2 - 3*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snmnbqnhnhhb. What is prob of picking 1 h, 1 b, 1 n, and 1 m?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 792.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 552*l - 555*l. Suppose 3*x = -3*y + 28 - l, -2*y + 31 = 5*x. Suppose 2*g + 2*g - 8 = 0. Solve g*b + 35 = -x*c, 5 + 5 = b - 3*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/86 and -19\/18.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**6\/600 + 3*b**5\/200 - b**4\/10 + 19*b**3\/3 - 16. Let r(k) be the third derivative of w(k). Factor r(i).\nAnswer: 3*(i - 1)*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2095 - -2075. Which is the second biggest value? (a) 3\/2 (b) k (c) -0.5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 25*l - 39. Calculate g(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*m + 25. Let k(g) = g**3 - 5*g**2 - 3*g - 7. Let s be k(6). Suppose -a - s = -12*a. Solve m + a = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1711590 is divided by 1981.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 0*p. Suppose 485 = -5*f + 2*k, -2*f - 2*k + 287 = -5*f. Let z = 119 + f. Solve 3*r - u - 4 = u, -3*r - 2*u + z = p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 0.5, -47 in ascending order.\nAnswer: -47, -1, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*3*5 - (sqrt(228) + (2*sqrt(228) + sqrt(228))*3))\/(((sqrt(108) + sqrt(108)*1 + sqrt(108))*4)\/(2*sqrt(144))).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21909 - 21905 = y. Sort 8, -145, y, 3 in descending order.\nAnswer: 8, y, 3, -145","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10514*y + 10616*y - 2346 = 0 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 21 = -59 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -7. Suppose 2*w - f*u - 28 = 0, 0 = -w - w + u + 13. Let c be (-97)\/(-4) + (-1)\/w. What is the greatest common divisor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, q: 2}. Give prob of picking 1 d and 1 q.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 250\/(-20)*14\/(-35). Suppose 3 = n*m - 17*a + 13*a, -3*a = -3*m. Solve 0 = -2*u - 2*r + m + 9, r - 2 = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (6 - 3)) + 0 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 905864\/3 at most 301956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 154519758 to the power of 1\/2, to the nearest integer?\nAnswer: 12431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3044412 (base 9) to base 8\nAnswer: -6143412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as 400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 1 - 3)*(-4 - s + 4) - 1 + 1 + 2*s)*(3*s - 3*s - 4*s**2).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d = -13*d + 42 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 211396 or 211400?\nAnswer: 211396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 258657 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 408, 3199, 10768, 25503, 49792, 86023, 136584, 203863?\n\"Answer: 398*i**3 + i**2 + 2*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -182*r**6\/5 + 253*r**4\/12 + r**3\/3 - r + 609. What is the third derivative of i(c) wrt c?\nAnswer: -26208*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1165 - -1205. Solve -y - 19*y + a = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -4, 9 in increasing order.\nAnswer: -4, -2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/4*(-7)\/21*(-12894)\/(-2121063).\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -7\/5, -2, 17.688?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 27, 53, 89, 135, 191?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*j = 35, 3*d - 27 = -2*j - j. Suppose -a = 3*a - d. Solve -4*y = y + 3*w - 3, y = -w - a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -10*d + 3. Let p = -51187 + 51183. Let g(t) = -5*t - 3*t + 4 - 3*t. Calculate p*r(q) + 3*g(q).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 (base 4) in base 9?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.3226 + 5.735. Let u = -3.4 + t. What is u rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-40) - (0 + 0)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2058 + -2034 + (-76 - 2)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -184.5 and 0.0431.\nAnswer: -7.95195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 3*t**2 - t + 1. Let i be o(2). Let n = i + 2. Let p = -8 + n. Which is the smallest value? (a) -0.2 (b) p (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192260792?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/16 + (-204)\/(-884) + 60285\/1560?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 5*s - 3. Suppose -121*q - 36 = -127*q. Let z be i(q). Solve 0 = -z*n + 15, -12 = -r - 3*r - 4*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/((-912)\/95)*-12\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2 and 5\/1236.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {n: 2, d: 1, y: 3, l: 1, i: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-84) + -2*(-11)\/(-66).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 1275.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/13, -712\/3, -0.4, 4, 0.1, -0.1, 3\/32?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0 = -5*s, 477*n - 1423*n + 5 = -475*n - 476*n - 5*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -75\/19829?\nAnswer: -75\/19829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1226127, -2452251, -3678375, -4904499, -6130623?\nAnswer: -7356747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -317*u - 15687. What is the thousands digit of a(-115)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -84000, -84270, -84544, -84822, -85104, -85390, -85680?\n\"Answer: -2*r**2 - 264*r - 83734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4874 times -1?\nAnswer: 4874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-224453.\nAnswer: -22445.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.63046671 to one decimal place.\nAnswer: 19.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + n - 14, 0*z - 21 = -4*z + n. Suppose -s + 3*u - 27 = 3*s, z*s - 3*u = -30. Which is the smallest value? (a) 0.5 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (35 - -8) + (-2145)\/(-33). Find s, given that p + 12*s + 1\/3*s**2 = 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 > 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/49 - -53\/98. Which is the nearest to -0.2? (a) 3 (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.1 - 16. Let v = -0.5 - f. Let u = 0.399988 - v. What is u rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254138 by 4099.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 4491*p**3 + 4037*p**3 - 14*p - 1351*p**3.\nAnswer: 7177*p**3 - 17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, j: 1, y: 4, c: 2}. What is prob of sequence jclc?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 25*f + 10. Let y be r(-8). Let o be y\/8 + (-1)\/(-4). Let j = o - -23. Is 0.2 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38\/27 - -1021\/54. Which is smaller: 17 or p?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**2 + 3*s**2 + 4*s**2 + (3 + 1 - 2)*(4 - s**2 - 4) + 0*s - s**2 + 0*s + (3*s - 4*s + 3*s)*(1 - 2*s - 1) as j*s + f + a*s**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7 + -1 + 337\/(-30) and 89\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1103*m**2 + 2*m. Let z(h) = 2*h. Give z(x(b)).\nAnswer: -2206*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p + 15. Suppose -p = g - 4*g. Let b = g - -1. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 129 - (2952 + -3079)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -86*p - 407. Let n(v) = v**3 + 7*v**2 - 11*v - 10. What is the remainder when n(-7) is divided by w(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37\/148)\/(40\/(-320))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.190157 rounded to two decimal places?\nAnswer: -26.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4110*c - 4*f = 4115*c - 2*f, -4*f = -5*c - 30 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/10)\/((108\/(-24))\/((-75)\/5)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 29 = -16. Let k = 126 + u. What are the prime factors of k?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111120021 (base 3) in base 16?\nAnswer: 26a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 253839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.0955 + -87.3065. Round q to 1 decimal place.\nAnswer: -73.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*d - 4*d + 13, 11 = 4*d - r. Suppose -5*j = -d*j - 36. Let w = j - 4. What is the lowest common multiple of w and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 11. Let w be b(0). Let z(m) = m + 15. Let u be z(w). What is the greatest common divisor of u and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1897 and 14.5088.\nAnswer: 27523.1936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1712 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191938510 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4257*0.6\nAnswer: -2554.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbctcbbbt. What is prob of picking 2 t, 1 b, and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55543 is divided by 505.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.7 minus -0.4792066452?\nAnswer: -13.2207933548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, w: 9}. What is prob of picking 2 w and 1 j?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x - 2*x**4 + 2*x**4 - 2*x**4 + (-4 + 2 + 0)*(2 + 2 - 3)*(-12*x**3 + 12*x**3 - 4*x**4 + (-3 + 3 - x**2)*(-58*x + 58*x + 15*x**2)).\nAnswer: 36*x**4 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjrjrrjrrrjj. What is prob of sequence jrj?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/6 + 1694*w - 4304454 = 0. What is w?\nAnswer: 5082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (280\/(-105))\/((-4)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(352)*2 + sqrt(352))\/((1*sqrt(99) + sqrt(99))\/sqrt(9)))**2.\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89*48\/(-64)*-1*(-8)\/132 and 61\/23188.\nAnswer: 23188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -513 + 513. Let h be ((-4)\/(-9))\/(m - (-4)\/(-6)). Let p = 13 + -14.8. What is the biggest value in h, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -2*v**7\/105 + v**6\/6 - 8*v**5\/15 + 2*v**4\/3 + 10*v**2. Solve k(d) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -0.1, 2, 15, 4, 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*f + 406, -4*d = -2*d + 4*f - 168. Sort d, 5, -5, -3 in increasing order.\nAnswer: -5, -3, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from crlgs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -34*y + 338. Give n(9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 929966 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 36 = t, 4*g - 5*t - 26 - 58 = 0. Let i(k) = -k**3 - 3*k**2 - 4*k - 4. Let v be i(-6). What is the highest common divisor of g and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-77) - 12\/176. Put l, 4, -7, -2 in increasing order.\nAnswer: -7, -2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2484)\/(-126))\/(-46))\/((-1)\/(-14)) + 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 9 = -3*m. Let a be m*((-8)\/6)\/(20\/(-15)). What is the greatest common factor of 24 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -9*a**2 - 8*a + 97. Let r(h) = 25*h**2 + 22*h - 290. Determine -11*p(l) - 4*r(l).\nAnswer: -l**2 + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 14 - 8. Let p be 12*(9\/q + -2). Let s(x) = -x**2 - 9*x - 6. What is the tens digit of s(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25763093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lupe when four letters picked without replacement from lbblbbzbluepb?\nAnswer: 1\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-18)\/6*(-10)\/(-6). Sort -4, p, 45 in increasing order.\nAnswer: -4, p, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30616, 61025, 91430, 121831, 152228, 182621, 213010?\nAnswer: 243395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 3*n + 2. Let t be c(3). Let k be 5 + 17 + -8 + -10. Put -5, -2, t, k in ascending order.\nAnswer: -5, -2, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -13 (b) -2 (c) 0.2 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, h: 2, s: 1, y: 1, x: 1, o: 2}. What is prob of picking 1 h, 1 x, and 2 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3168 + 1257. Suppose -3*s = 3*c - 480, -5*c + c - 3*s = -l. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/27*39\/52?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9574.\nAnswer: 2, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -740 + 1?\nAnswer: -737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**2 + h**2 + 10*h - 299*h**4 + 304*h**4 + 34*h + 6*h**2 as z*h + i*h**3 + r*h**4 + t + p*h**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0 - 42. Suppose -5*g - 2*y + 24 = 0, -g - g + w = 3*y. Suppose -r + g = -16. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z = -112. Find the first derivative of 18*p**4 - 5 + z - 3 wrt p.\nAnswer: 72*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/9*(-2)\/4\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-6)\/(-4) + -1). What is the units digit of ((-1)\/(-2))\/(g\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**2 + u - 8. Let x(d) = -d**2 + 2. Give l(j) + 3*x(j).\nAnswer: -7*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -9\/2*r**2 + 4\/3*r**3 + 0 - 1\/12*r**4 + 7*r. Calculate y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -4 (b) -0.4 (c) -3263\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4216 and 10914.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 238 = 8*k. Let t = 37 + -23. Calculate the greatest common divisor of t and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190503 divided by 3382.\nAnswer: 190503\/3382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9345.699 years in centuries?\nAnswer: 93.45699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w - 3*w)*(1 + 0 + 1) - 17*w - 104 + 173 - 55.\nAnswer: -21*w + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35838 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d + 5 = -5*l, -2*d + 10 = 0. Let m(f) = -7*f**2 - 2. Let u(w) = 1. Give l*m(y) + 2*u(y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -319, 9\/10, -3?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 5 - (-3 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 0.02746.\nAnswer: -0.17254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1\/4, -3\/4, -11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*(72\/(-8))\/(-18)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 398376 or 7569172\/19?\nAnswer: 398376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*c)*(-3*c + 5 - c + 3*c)*(4*c - 2*c + 3*c).\nAnswer: -15*c**3 + 75*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-233 + 198 - (1 + 13))\/(-2 - -3)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -15. Suppose 9*c - 4*c - 400 = g. Let r(y) = -2*y + 2. Let x be r(-7). Calculate the greatest common divisor of c and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -799044.6 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2*470\/(-235)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 53, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from {h: 1, b: 4, z: 2, m: 1, g: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)*r**(2\/3)\/r)\/(r\/(r\/(r**(1\/2)\/r)*r))**(2\/27))\/((r\/(r**0*r))\/r*r**(1\/7)\/r)**(-41) assuming r is positive.\nAnswer: r**(-4790\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4259009, -4259010, -4259011, -4259012?\nAnswer: -4259013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -102021112101011 (base 3) in base 10?\nAnswer: -5994112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-5)*(p\/(p\/p**(-5)*p)*p)\/p)\/(p\/(p*p\/p**(-1\/8))*p**(-5)*p))\/(((p\/p**0*p)\/p**0)\/(p**(-1)*p)**6) assuming p is positive.\nAnswer: p**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 + (29 - 27) + (-17 - -18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 60 = -4*i, -87*i - 130 = -5*o - 81*i for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 10*t**2 + 11*t + 5. Let v be l(11). Which is the fourth biggest value? (a) v (b) 0.5 (c) 1\/4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 - -1 - 8) - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*y**3 + 255*y + 105*y**3 + 121*y - 217*y**3.\nAnswer: -2*y**3 + 376*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/54752 and -97\/301136.\nAnswer: 602272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/8 and 89\/(-8)*12\/9?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - 4*k**2 + 4. Let q(w) = 9 + 5*w**2 + 3*w**3 + 5 - 31 + 12. Determine -5*b(v) - 4*q(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - 12.84. Let y = g + 13. Suppose -5*q = 2*z + 24, -4*z + 0*q - 4 = -q. What is the closest to -1\/5 in 0, z, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1087 = -122*k + 4769. Calculate the lowest common multiple of k and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 3. Suppose 4*z - 3 = t + 14, 4*z - 14 = 2*t. Suppose -13 = 4*j + n, -4*n - n - 20 = z*j. Let f(h) = 4*h - 4. Determine j*b(d) + 2*f(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 195, 1, 20, 4, -4, 3 in decreasing order.\nAnswer: 195, 20, 4, 3, 1, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(20) + sqrt(5) + sqrt(720) + 1.\nAnswer: -3 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllll. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1704 and -19\/20.\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 94 (base 11) to base 7\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 17*p**3 + 29*p**2 + 31*p + 1. Let w(d) = -3*d**3 - 6*d**2 - 5*d. Let b(k) = 2*j(k) + 11*w(k). Give b(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539872473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -4. Let j = p + 6. Solve -a + 2*v + 0*v - 6 = 0, -j*v + 12 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2 - 3) - -60. Let g = z + -20. List 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 488 minutes after 12:43 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w + 752 - 1018 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 200 - 120 = 4*s, 5*b = 20. Let w be (-2)\/(-4)*(-5 - s). Let h = -22 + w. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 + -95. Suppose o = -61*i + 64*i - 12. Let m(b) = b**3 + 5*b**2 + 4. Let k be m(-5). Solve -k*a - a - 28 = -i*d, -22 = -d + 5*a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.46 + -139.54. Let f = -95 - c. Let d = 41 - f. What is the nearest to -2 in d, -2\/5, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-5)*270\/324*(-1278)\/12?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(9\/11)*(h**18*h)\/h)\/(h*((h\/(h*h**(-34)*h))\/h)\/h*h**(-35)\/h) assuming h is positive.\nAnswer: h**(251\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26363?\nAnswer: 41, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 5, u: 5, f: 5}. What is prob of picking 1 u and 1 d?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -35. Suppose -3*x = y + 5 + 1, 8 = -2*x. Suppose -m = -i - u, 2*i - 3*u - y = 7. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 436668*z**2 - 4*z. Suppose 0 = 3*v + 6, 6 = 13*l - 9*l + 3*v. Let i be h(l). Round i to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1148.81714 - 0.017\nAnswer: -1148.83414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 14*r + 5. Let n(t) = 11*t + 4. Give 5*n(u) - 4*o(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4806.62961 rounded to 1 decimal place?\nAnswer: 4806.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.213 - 0.124. Let r = v + 0.211. What is the closest to r in 2, 10, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 7*o + 18400 = 0. Which is smaller: -921 or o?\nAnswer: -921","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 + 2*m - 2. Let d(v) = -50*v**2 + 35*v - 35. Let g(y) = 2*d(y) - 35*k(y). Let r be g(1). Solve 9 - 4 = r*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 8*g**2 + 4*g + 4. Let f be x(-6). Let m = 21976 - 21919. Are m and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.258619497 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/54*30\/25. Let b = -824\/915 + l. Is 1 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpys when four letters picked without replacement from vypppylpsv.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.472 (b) 4514 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48 - 24*j**2 - 7*j**2 + 10*j**2 - 9*j**2 + 221*j - 33*j.\nAnswer: -2*(j - 6)*(15*j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a2 (base 15) to base 16.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -10*z - 2. Let u be w(-4). Let q = -71 + u. Let a = 51 + q. What is the remainder when 51 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -13 (b) 3\/2 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 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: Convert 31 (base 9) to base 8.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/7*(-10)\/(-40).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(((-9)\/4)\/9). Let g be b\/18 + (-344)\/(-72). Solve -5*f = -g*k - 10, -5*f + 3 - 11 = k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37\/23 + 271\/46. Let c(g) be the second derivative of 7*g + 0*g**4 - 3\/5*g**5 + 0 + 0*g**3 + s*g**2. What is the derivative of c(r) wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 155.\nAnswer: -46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/10)\/((-157)\/(-155) + -1). Solve 0 = -5*k - b + 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-15))\/(4176\/111186)?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 296*o**2 + 2668*o + 198. What is d(-9)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 28765096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(65\/60)\/13.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.93 - -0.07. Let z = 2 - a. Let t = 0.0859 + 0.1141. What is the nearest to t in 1\/7, z, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 6*j**2 - 4*j + 0*j**2 - 2 + j**4 - 4*j**2 to o*j**2 + y*j**3 + n*j + k + c*j**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553149?\nAnswer: 3, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 641 - 111. Let r = j - 373. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.068 - 2.632. Let u = 0.7 + q. Let s = -0.1 - -0.5. Which is the third smallest value? (a) u (b) 0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 173 + -172. Let p(r) = -5*r**3 - r. Determine p(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 10*n**3 - 17*n**2 + 14*n + 3. Let j(r) = 4*r**3 - 6*r**2 + 5*r + 1. Calculate 3*d(a) - 8*j(a).\nAnswer: -2*a**3 - 3*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**7\/210 + h**5\/60 - 3*h**4\/4 - h**3\/6 + 30*h**2 - h. Find the second derivative of u(y) wrt y.\nAnswer: 12*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3\/((-18)\/(-4)) + 14641\/3 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4062\/5 + 812. Let j = -2115.06 + 2142. Let y = j + 0.06. Is g smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + 2)*(-24)\/(-14). Solve -5*l - 2*j = -n, 2*l + 5*j + 8 = -4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + a + 36. Determine u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 1 + 5 - -2. Suppose -2*t + m = -0. What is the derivative of -1 - 2*n**t + 2 - 4 wrt n?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + d = -15*n - 2498, -3*d - 1878 = -3*n. What is the greatest common factor of n and 728?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 445382 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -42, -52, -66, -84, -106?\n\"Answer: -2*y**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/11 or -2017?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -4, 4, -3, -42, 5 in ascending order.\nAnswer: -42, -4, -3, 4, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-270)\/(-36)*8\/(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -157996*t. Let h(p) = 35*p + 3. Calculate f(h(c)).\nAnswer: -5529860*c - 473988","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*2*3*7\/7. Let d be (-1)\/j*3*0\/15. Let l = 21\/2 + -11. Sort l, 0.4, 2, d.\nAnswer: l, d, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 69\/(-21) - -3 - (-30)\/7. Suppose 48 = -0*i + h*i. Round i to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2807190.\nAnswer: -1\/561438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 528 and -2 - 14\/(-3) - (-1092)\/117.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -6 + 14. Suppose -4*p = 3 + 1, 110 = k*f + 2*p. What is the highest common factor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -211 or -5476?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m. Let n(a) = 8*a - 11. Let b(k) be the third derivative of -k**4\/24 + k**3\/6 - 2*k**2 + 24*k. Let r(o) = -21*b(o) - 3*n(o). What is r(x(u))?\nAnswer: -9*u + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6394 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 127 = 3*x, 3*x - 285 = -5*a + 4*x. Find the common denominator of -43\/5 and 1\/(-3) + a\/(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 0 + (11 - 4). Suppose -3 = 3*a - k. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 8\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11935250.\nAnswer: 2, 5, 47741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 306046*i**3 + 1 + 29*i - 306047*i**3 + 3141*i**2 + 12 wrt i.\nAnswer: -6*i + 6282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0.1. Let f be (-2)\/3 - (-10)\/6. Suppose h - f = -0. Is c <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -15968?\nAnswer: -1\/3992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 77.57 * -0.904\nAnswer: -70.12328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3769*u + 281281 + 172571 = 320*u + 1314*u for u.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 115 = 5*l, -o - 2*l + 5*l = 60. Let p = -42 - o. Let b be 94200002\/p - 12\/18. What is b rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2*n - 4 + (-4 + 2*n + 4)*(0 - 4 + 3) + 3*n - n + 6*n + (0 + n + 0)*(2 - 11 - 5))*(2*n + n - 2*n) in the form j + f*n**2 + d*n and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265500*r**2 + 530988*r**2 - 265520*r**2.\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2406, -4825, -7262, -9717?\nAnswer: -12190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/5)\/((-6)\/8). Suppose n*r + 14871 = 5*h - 9067, 14350 = 3*h + 4*r. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11398775231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20*286\/(-145860) - 8266\/(-102)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 8785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -176196720 rounded to the nearest one million?\nAnswer: -176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267738 is divided by 7862?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -51*f**3\/7 - 326700*f**2\/7 - 1593819*f\/7 + 192030\/7 = 0.\nAnswer: -6401, -5, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 569 - 569.109. What is m rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 19.999956. What is s rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-7) - (1 + -1). What is the closest to -0.1 in o, -0.2, 0.34?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*a**2 - 35*a**2 + 1 - 31*a**2 - 42*a**2 - 2*a**3 - 12*a**4 - 24*a**2 as g*a**4 + p*a**2 + w*a**3 + b*a + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 0*q + 20. Suppose q*b + 2 = 10. Find the third derivative of -b*v**2 + 7*v**2 - v**2 + 4*v**2 - 2*v**6 wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 6*c**2 + c - 4. Determine u(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 4\/103280167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*d + 44 = 14, -2*v - 16 = -2*d. Suppose 0 = 4*g - 3*g. Let h(f) = 2*f**2 + 7. Let z be h(g). Sort v, -1, -4, z in decreasing order.\nAnswer: z, -1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 - 64*b**3\/3 + 685*b**2\/3 + 250*b.\nAnswer: b*(b - 50)*(b - 15)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -3. Let a be (-12)\/(-8)*4\/3. Let g(j) = -1 + a*j + 3*j**3 - j - j**2 - 2*j**3. Let h(c) = -c**3 + 2*c**2 - 2*c + 2. What is v*g(p) - h(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a day in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1))**(-1\/2)\/((d\/(d**(-2)\/d*d))\/d*d**12) assuming d is positive.\nAnswer: d**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:51 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 - 154918*g\/5 - 929472\/5.\nAnswer: -(g + 6)*(g + 154912)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11512.\nAnswer: 2, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20259 is divided by 6344.\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2322915?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 69920415, 69920416, 69920417, 69920418?\n\"Answer: z + 69920414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4\/9, -1\/16, -1\/2 in increasing order.\nAnswer: -5, -1\/2, -4\/9, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/7 + -31\/63. Let g = -0.0512 - -4.5512. What is the second biggest value in g, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -22 + -380 + -1 + -1. Let j = 820 + u. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-9)*(-516)\/(-430).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 795114866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-6)*(9\/(-4))\/(42*13\/(-26))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 3*p - 8. Let h be i(-5). Let g(z) = z - 5*z - z**h - 5 - 1 + 3*z**3. Let q(j) = 2*j**3 - j**2 - 3*j - 5. Determine 3*g(k) - 4*q(k).\nAnswer: k**3 + k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 194 = 40. Suppose 0 = -2*f - f - 114. Let r = g - f. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3610 - -3615. What is the nearest to -33 in -0.1, 2, v, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 1:17 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120 - -124. What is the nearest to 2\/37 in -0.5, y, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26900?\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -94640 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 4 - 4)*(-2 + 5 - 1)*(-5 - 1 + 2).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 365780584 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2156066 is divided by 888.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(68) + 0 + (sqrt(153)*2)\/sqrt(9).\nAnswer: 2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - r**2 - r**5)*(5 - 1 - 3) - 4*r**5 + 3*r**5 + 5*r**5.\nAnswer: 3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 5*y**4\/12 - 5*y**2\/2 - 4*y. Factor s(w).\nAnswer: 5*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -33. What is the third derivative of 2*x**6 - 22*x**m + 4*x**6 + 10*x**2 + 22*x**4 wrt x?\nAnswer: 720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.007\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33*(-1 + (-2 - (-57)\/9)). Round q to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 1, q: 4, n: 7}. What is prob of sequence pqn?\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.028 + 4.672. Let d = j - 5. Let l = -25.2 + 25.2. Are l and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18287279 is divided by 457.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*d + 52*d - 20493. What is the highest common divisor of 1725 and d?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*u + i, -2*u + 5*i = 15. Let g be u\/2 - 3\/6. Suppose g*h + 2*z = 16, -21 = -5*h + 5*z + 9. Calculate the lowest common multiple of h and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from annna. What is prob of picking 2 a and 1 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 602492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 + 2*a**2 + 2*a. Let m be n(-3). Let s = -1116 - -1125. Find the third derivative of m*y**5 - s*y**2 + 78*y**5 - 118*y**5 wrt y.\nAnswer: 1560*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12534 = 403*m + 2862 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -632*o**5 + 3*o + 653*o**5 + 24*o wrt o?\nAnswer: 420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221492, 431105, 640706, 850289, 1059848?\nAnswer: 1269377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15081, -60437, -136061, -241953?\nAnswer: -378113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 21 - 14 + 8 + 1683*a - 1685*a + 24.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4941*s**5 - 1116*s**2 + 4940*s**5 - 9789*s**5 - 859*s**2 - 31*s**3 - 2*s**4 wrt s.\nAnswer: 5520*s**2 - 48*s - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 44*b + 116 = 260 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(700) + 0)**2.\nAnswer: 60*sqrt(7) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*m - 9. Suppose -m*t + 4*t = -n + 3, -2*t = -3*n - 11. Let y be ((-1)\/(-12))\/((-1)\/t). Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-10))\/(2\/(-5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-190068.\nAnswer: -760272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617)*1 - sqrt(1617))\/sqrt(11) + (sqrt(432) - (-1 + sqrt(3))*2).\nAnswer: 2 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 93. What is the remainder when 64 is divided by z(21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -17*t**2 + 10*t**2 + 8*t**2. Let o(k) = -k**2 - k + 1. Let a(l) = 4*o(l) + 5*y(l). Factor a(j).\nAnswer: (j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306415.\nAnswer: 5, 61283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, z: 1, q: 1, h: 5}. What is prob of picking 1 q, 1 m, and 2 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 15*z**2 + 238*z - 30. Let w be v(-16). Let g be 46\/6 - 1\/(-3). Solve h = -3*p + g, -3*h + 4 = w*p + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16041884.\nAnswer: 2, 4010471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llkwwwwkw. Give prob of picking 3 w.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16077 is divided by 95.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57.6 + -58. What is the nearest to 0 in r, -3, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 9*x + 14. Suppose -1310 = 86*c - 217*c. Determine b(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**3\/5 - 399*f**2\/10 - 1644*f\/5 - 3334. Find g, given that l(g) = 0.\nAnswer: -4, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = n, -3*n + 5*s - 67 = -75 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.3 + -7. Let c be 10 + -12 + -6*17\/(-48). Let j be (3 + 43\/(-13))\/2. What is the second biggest value in j, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -13. Suppose 2*v - 3*h - 4 - 16 = c, -4*h - 28 = -3*v. Solve -a = o, -12 = -5*a - o - v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*q. Let h = -22 + 17. Put q, h, -4 in descending order.\nAnswer: q, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-5))\/(-3))\/(8\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-342 + 23 - 163)*(-3*o**5 - 2*o**5 + 3*o**5) - 4*o**5 - 4*o**5 + 3*o**5.\nAnswer: 959*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6943 + 6940. Which is the third biggest value? (a) -21 (b) o (c) 0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -4*v**7\/945 - 5*v**6\/108 + 7*v**5\/27 + 115*v**4\/108 + 8*v**3\/9 + v**2 - 4824*v. Solve g(q) = 0.\nAnswer: -8, -1, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1020 divided by 5\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l - 99. Let d be y(26). Suppose k - c + 7 = 2*c, 0 = -k + 4*c - 10. What is the highest common factor of d and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9100923203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**8*v))\/v*v)\/(v*(v*(v*v\/(v\/((v*v*v\/v**(-4))\/v)*v))\/v*v*v*v)\/v*v)*(v**(-1)\/v)**37*(v**(-2\/9)\/v**7)\/(v*v**1)**(1\/5) assuming v is positive.\nAnswer: v**(-4483\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1999768 - -3.2. What is g rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -310, -1225, 0 in increasing order.\nAnswer: -1225, -310, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*y + 4*x + 8, -5*x - 12 = 4*y. Let r be (-125242)\/(-364) - 2\/28. Suppose 2*i + 3*i = 2*u - 324, 5*i = -y*u + r. Does 29 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -229\/171 + 17\/19. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 657 and -0.163.\nAnswer: -107.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -6 + -3 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184076243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -514\/19787, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4278324 to the power of 1\/2, to the nearest integer?\nAnswer: 2068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*w - 63*w - 1141105 = -3284910. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/9)\/(8\/(-144)). Let i(a) = a**3 + 7*a**2 - 3*a - 44. What is the remainder when 130 is divided by i(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1980*v + 24212 + 2658 = 7070 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 878 - 463*c + 464*c + 54.\nAnswer: c + 932","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -683*n - 5404. Calculate the least common multiple of l(-8) and 210.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -111, -171, -231, -291, -351?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + 79*w**4 - 4 - 83*w**4 + 8*w + 6*w**2 + w**3 + 0*w**3 + 0*w**3 as k*w**2 + j*w + i + n*w**3 + l*w**4 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3656 + 41?\nAnswer: 3697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -3\/13, 5, -2\/11, -4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 928.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4265010 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 26*i**2 - 81*i**2 + 28*i**2 + 26*i**2 + 71*i in the form a*i + s + w*i**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 811000 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*u - 2144. What are the prime factors of u?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580 a factor of 343689540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfd when three letters picked without replacement from emndeeememfm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 212120?\nAnswer: -212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*t + 20, 2*s - 8 = 2*t + 2*t. Solve 3*m = -0*m - j - s, -8 = 2*m - 3*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k - 4. Suppose -4*a - 16 + 0 = 0. What is the units digit of d(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175434 - 8*s + 285*s + 52*s + 175434 + 174*s.\nAnswer: 503*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6630*w**2 - 6512*w - 1 wrt w.\nAnswer: -13260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -361*w**3 - 3*w**2 + 3378*w wrt w?\nAnswer: -2166*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -13*i**2 - 9*i + 4. Let g(k) = 6*k**2 + 5*k - 2. Calculate 5*g(f) + 3*r(f).\nAnswer: -9*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 5 - z**2 + 0*z - 7\/3*z**3. What is the second derivative of a(o) wrt o?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -336 + 338. Find the first derivative of u**q + 230*u**4 + 181*u**4 - 355*u**4 - u**2 + 191 wrt u.\nAnswer: 224*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.5878886 rounded to 2 decimal places?\nAnswer: -14.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 798977.3ml?\nAnswer: 798.9773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 7*m**2 + 5*m - 7. Let q(c) = 1 + 2 + 0*c**2 + 4 - 11*c - c**2. Let f be q(-12). Let s be y(f). Which is bigger: s or 17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 238 - 90. What is the greatest common divisor of w and 518?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -13*q + 223. Let j be w(17). Suppose -5*x + 800 = -j*f, -3*f = -8*f - 25. List the prime factors of x.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28826161*c**4\/4 + 4155606*c**3 - 609814*c**2 + 3096*c - 4.\nAnswer: -(7*c - 2)**2*(767*c - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.77, -1\/11, 0.0592?\nAnswer: 0.0592","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -70. Let m = i + 45. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.0084 (b) 1\/2 (c) -0.5 (d) 2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Let z be 0\/(-5 - (-12)\/4). Suppose -n*d + 38 + 4 = z. Calculate the remainder when 26 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20011 - 302?\nAnswer: 13103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cb119 - 0?\nAnswer: cb119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -0.3, 1\/2, 2\/9, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -166*i**3 + 2661*i**2 - 80*i + 10. Give s(16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*o - 143, 5*k - 368 = 5*o - 2*o. Let m = -71 + k. Sort -4, -5, m in decreasing order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j**2 + 6*j. Let t(u) = -105*u**2 - 77*u. Let q(l) = -77*p(l) - 6*t(l). Let s(b) = b. Calculate q(s(k)).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.667088 to 3 decimal places.\nAnswer: 0.667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7557 + -5?\nAnswer: 7552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7233.352kg in nanograms?\nAnswer: 7233352000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -258 or -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjljjjjjl. Give prob of sequence ljj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 349, 350, 351, 352?\n\"Answer: k + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*m - 3 = -0*m, -5*m - 9 = 2*l. Suppose -2*b + 2*u = -78, l*b + 5*u = b + 64. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -26. What is the nearest to w in 0.2, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14685*d + 16293 wrt d.\nAnswer: 14685","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244102 is divided by 94.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 1, h: 1}. What is prob of picking 1 h and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 90*r - 446 = 88*r, 5*a = r + 452. Which is smaller: a or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 934480 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 6182 take away -3.8012?\nAnswer: 6185.8012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 29*o + 28. Let u be y(-28). Suppose u = 7*p - p - 126. What is the remainder when 102 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 168*h**2 - 342*h + 172.\nAnswer: 2*(h - 1)**2*(h + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/8)*v**(-7)\/v assuming v is positive.\nAnswer: v**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(432))\/sqrt(12)*-1)\/(sqrt(1728) + (-2*sqrt(1728) + sqrt(1728))*-2).\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 10. Suppose 0 = -g*k + 7*k. Solve 0 = -4*f - k*f + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 0*j - 5*j)*(-2 + 6 + 6)*(0*j**2 + 2*j**2 + 0*j**2) + j**3 - 6*j**3 + 4*j**3.\nAnswer: -41*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8\/14 + 264\/(-168) - (-63)\/28\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 420390657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1109, 2, -5, 1 in increasing order.\nAnswer: -1109, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4384*p - 4386*p = 3*g - 56, -4*p = 5*g - 94 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8 = -r + 3*r, 0 = -5*r - 5. Suppose -n - 6*y + 5 = -d*y, -2*y + 16 = 2*n. Solve 4*j + n = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 0\/(-3)) + 122. Let d = -63 + y. Suppose -d = -5*m + 32. Calculate the remainder when 54 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 18*q - 14*q + 18, -3*q - 17 = 2*z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -246.6 - -151. Let g = q + -0.4. Let c = g - -96.0000083. What is c rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -314, -628, -872, -1010, -1006, -824, -428?\n\"Answer: 6*h**3 - h**2 - 353*h + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 30.5. Which is the closest to 2\/5? (a) v (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6026, 6023, 6010, 5981, 5930?\nAnswer: 5851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + y = -8, 5*c - 3 + 1 = -y. Suppose -3*z - 6 = 0, -1 - 19 = -2*b + 3*z. Let a = b - c. Calculate the highest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 - (-1)\/(2 + -1). Suppose -11 - k = -2*g. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:26 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -24. Suppose 2*a + b = 42. Suppose -14*m - 36 = -a*m. Solve 4*c + m = -3*j + 2*j, -12 = -3*c + 3*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**3 - 4*c**2 - 3*c + 3. Let j be 8 - 21\/(-105)*-45. Let y(v) = -v**3 + v**2 + v - 1. What is j*q(f) - 5*y(f)?\nAnswer: -f**3 - f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljljjljjjljjlqjrqjj. What is prob of picking 3 l?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 266582072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 - 68*f**2\/3 + 182*f\/3 + 1764.\nAnswer: 2*(f - 27)*(f - 14)*(f + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 891, 881, 871?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 4*s**2 + 7*s - 5. Let m be z(5). What is the remainder when 96 is divided by -4 - (m - (-5 + 23))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 3. Let c be m(-1). Let w = 17 + c. Suppose 0 = 2*u + u, -5*z - 5*u + 300 = 0. Calculate the remainder when z is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5*912\/200*(-20)\/(-6) is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 > 408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (1 + -6 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 14 - 20. Let s be (-104)\/12 - (a + -2)\/3. Let p be s\/(18\/(-244)) - -4. What is the highest common divisor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 483305*g**4*x**3 - g**3*x*z - 10*g*x**3*z - 7*g*x**3 - 750*g*x**2*z - 3*x**2*z wrt g.\nAnswer: 5799660*g**2*x**3 - 6*g*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1810494?\nAnswer: 2, 3, 7, 14369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 30*j + 23*j - j in the form t + p*j and give p.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 3. Let w be g(-8). Let v = w + -6. Let j be v - ((-14)\/4 + 2). Which is greater: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4\/13 - 2*a**3 + 14*a**2\/13 + 114*a\/13 + 72\/13 = 0?\nAnswer: -1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - 1115*p**2 - 5031*p - 15387. Determine o(562).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 6, -24, 3, 0.2, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/34 and 429\/(-41327)*((-1)\/5 - (-141)\/(-20))?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/6704278 and -17\/17052?\nAnswer: 40225668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7191 - -21644. List the prime factors of v.\nAnswer: 5, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-106)\/84 + (-1620)\/(-1134)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, y: 2, f: 2, p: 1, l: 4, m: 3}. What is prob of picking 1 k and 1 p?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(2\/(-4) + 2). What is the derivative of 3 + q*w**2 - w**2 + 0*w**2 - 5*w**2 wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) 12 (c) -1 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25442, -25447, -25450, -25451?\n\"Answer: q**2 - 8*q - 25435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79143 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**6 - 23*f**4 - 1102*f**2?\nAnswer: -240*f**3 - 552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 2 - (-947 - -933) - 42?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otbooobbvvtot. What is prob of picking 1 v and 2 o?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwww. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 8*j**2 + j - 11. Let i be n(8). Let b be i\/9 + (-5)\/(-9). Which is bigger: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3846 is divided by 273?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 54 = -4*h - 5*k, -h = 4*k - 51. Suppose -x = 3*b - 59, 138 - 49 = 5*b + 4*x. What is the remainder when h is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2948725 not equal to 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**5\/20 + p**4 + 7*p**3\/2 + 117*p**2\/2 - 65. Let o(g) be the second derivative of j(g). Factor o(t).\nAnswer: 3*(t + 1)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.38 - -0.88. What is the fourth biggest value in n, -1\/5, 1\/4, -2\/19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - q. Let l be w(-1). Suppose 3*h = -l*o + 4*h, -5*h + 26 = 3*o. Which is the third biggest value? (a) 0 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 + 7*i**2 + 3*i**2)*(6 - 4 + 3)*(-52*i + 42*i - 25*i) to the form w*i**2 + q*i + s + l*i**3 and give l.\nAnswer: -1575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**5 - 8943*i**4 - 44397*i**3 + 723687*i**2 + 1544808*i + 785664 = 0. Calculate i.\nAnswer: -2976, -11, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3602961, 3603112, 3603363, 3603714, 3604165, 3604716, 3605367?\n\"Answer: 50*z**2 + z + 3602910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**4 - 11*s**3 + 17*s**2 - 10*s + 3. Let j = 50 + -51. Let y(u) = u**4 - u**3 + u**2. Let n(k) = j*t(k) + 5*y(k). Factor n(m).\nAnswer: -(m - 3)*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 6*l - 57. Calculate h(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 12*x + 3. Let t be c(-12). Does 3 divide 14*(-3 + t + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, 5\/3, -1\/6, 72, -438, 0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 4*j + 40 = 0. Suppose 4*z = -4*n, -z + j*z - 35 = 4*n. What is the units digit of (1 + n)*(-202)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2) + 0 - sqrt(171)\/(sqrt(18)\/sqrt(2)) - (((1*sqrt(152) - sqrt(152)) + sqrt(152))*-6)\/sqrt(8).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -5*y + 11. Let j = 7 + -5. What is the first derivative of -1 + y*p**3 - j*p**4 - 14*p**3 wrt p?\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 2*g**2 - 2. Suppose -2*k + 36 = -2. Suppose -2*p + k = 15. Let a(z) = 101*z**3 - 103*z**3 + 4 - p + 3*z**2 + 0. Determine -3*a(w) - 4*i(w).\nAnswer: 2*w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y - 4 = 0. Suppose -d + 5*d = z + 17, -35 = -4*d - 5*z. Let t = d - y. Let n(k) = -4*k**3 + 2*k**2 - k. What is n(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = s + 10, -5*s = -4*r - 21 - 9. Let u be 32\/s + 11\/(-55). Let o be (-8)\/u*(-48 + -3). Calculate the highest common factor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1550 divided by 25?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 5*t**2 + 4 - 3 + t in the form v*t**2 + n + m*t and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634 is divided by 206.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - s + 1. Let n(q) = 2*q**3 + 2*q**2 + 22*q + 26. Let d(g) = -2*g**3 - 3*g**2 - 23*g - 33. Let i(z) = -4*d(z) - 5*n(z). What is 2*a(u) - i(u)?\nAnswer: 2*u**3 + 16*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/5)*l\/(l*l**(-5)\/l))\/(l\/l**(-2\/9))**2 assuming l is positive.\nAnswer: l**(187\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434975504?\nAnswer: 2, 27185969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Do 0 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/13 - 70*q**2\/13 - 684*q\/13 - 2016\/13.\nAnswer: -2*(q + 6)*(q + 8)*(q + 21)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2) + (-8)\/(-16). Solve y*g - g - 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.718, -0.1, -0.018 in increasing order.\nAnswer: -0.1, -0.018, 1.718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 471*s**2 + 6*s + 29. Is z(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 11*101815\/(-65835)?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -106, -414, -926, -1642, -2562, -3686, -5014?\n\"Answer: -102*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3)*45\/(-20)*-4. Let g(l) = 4*l**3 + 3*l**2 + 4*l - 3. What are the prime factors of g(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18616 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t + g = -6, -g - 12 = -3*t. Solve -2 - t = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/8)*j)**(-2\/67)*(j**(24\/11))**(-38) assuming j is positive.\nAnswer: j**(-244581\/2948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5855 or -5853?\nAnswer: -5855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 256 and -0.3.\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2236 - 998. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139.1 + 139. Let z = -3.5 - -3. What is the second biggest value in k, z, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 5817968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) -0.4 (c) 0.5 (d) -6 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (6 - 1))*2. Let v = m + 12. List the prime factors of -6*v\/(-15)*50.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-5)*(-10)\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 5*r - 10. Let u be g(-13). What is the units digit of ((-1)\/(-2))\/((-1)\/u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20698 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**4 - 14*k**3*s - 26*s + 2 wrt k?\nAnswer: -4*k**3 - 42*k**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s + 100 = 0. Let d be ((-48)\/(-40)*30)\/(2 - 0). Suppose d*t - 185 = 49. Calculate the remainder when s is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 835 + -1339. Let z = n + 513. Let f = -182 + 299. Calculate the greatest common divisor of f and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -2 (b) 0.1 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215076508, -215076507, -215076506, -215076505?\nAnswer: -215076504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/9, 10, -0.18 in decreasing order.\nAnswer: 10, -0.18, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 5:31 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*u*u**(-7)*u))\/((u**(-1\/3)*u)\/u))\/(u**(-1)*u*u)**(4\/11))\/((u**(-8)*u)\/u**(-2\/15))**10 assuming u is positive.\nAnswer: u**(799\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -30?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p - 4*p - 3*p)*(-2 + 13 - 1) - p - 10 + 15 - 18 + p - p + 2*p as a*p + g and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g + 9*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 12*y - 16. Let i be 1\/3 + ((-44)\/(-3) - 4). Let x be t(i). Suppose 3*a - 3 = 0, 4*b - 8*a + 4*a + 20 = 0. Put x, b, 8 in ascending order.\nAnswer: x, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.0015 (c) 8 (d) 1\/5 (e) 1 (f) -81 (g) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24846984 divided by -6.\nAnswer: -4141164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 71 = 2*y. Let t = 104 + y. Suppose i - 6 = t. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*k + 5*a - 11, 32 = 5*k + 4*a. Let o = 15 - 7. Calculate the lowest common multiple of o and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4430146.\nAnswer: 2, 7, 316439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 5*w)*(w - w - w)*(6 - 4 + 4) as r*w + q + d*w**2 and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 22885*n + 68428. Determine m(-3).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 661, 579, 435, 199, -159, -669, -1361?\nAnswer: -2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/2))\/a*(a\/(a**(-3)*a))\/a)\/(a*a*a\/a**(-1)*a*a*a)**(-26\/3)*a**1\/a*a**4*(a**(1\/3))**20 assuming a is positive.\nAnswer: a**(437\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4757*d**2 + 10*d. Is c(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -14*o + 2358. Let x = o - 256. Solve x = -k + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*y + y + 8 = 0, -2*c + 4*y = 8. Let q be ((-1)\/c)\/((-2)\/8). Suppose q*p + x = 4*x + 7, 29 = 4*p - x. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-1\/5)*t)\/t*t)\/t*t)**8\/(((t**(-7)\/t)\/t*t*t)\/t*t*t**(-7)))**39 assuming t is positive.\nAnswer: t**(5538\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 6*o**2 + 4*o - 12. Calculate the least common multiple of 6 and a(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 - 147 = -14*y. What is the least common multiple of 42 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 5:01 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 375 - 239. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191*b**5*t + 1282115*b**4*t + b*t + 90*b + 69*t + 2188 wrt b?\nAnswer: 3820*b**3*t + 15385380*b**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173515 or -173513?\nAnswer: -173515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:44 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 44\/5.\nAnswer: 0, 8, 44\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100100 - -201220120?\nAnswer: 202020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215 - 23*d - 6*d + 8*d.\nAnswer: -21*d + 215","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 6548 + 1579. What is k rounded to the nearest ten?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 2256 = 2116. What is the remainder when (43\/2 + -1)*2 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -360 or 1?\nAnswer: -360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6674*y**5 + 20*y - 967 wrt y?\nAnswer: 133480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6817056 > 6817057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -7*q**5\/60 - q**4\/3 + 123*q**2 - 3. Let m(k) = -8*k. Determine m(g(h)).\nAnswer: 56*h**2 + 64*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2862254 + 2862254 - 75*b**3.\nAnswer: -75*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 + -213 + (-5 + 6 - -11) + -8 + -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11606*s**3 + 6526*s**3 - 46559*s**3.\nAnswer: -51639*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t - 32. Suppose 2 = -15*m - 58. Give k(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133 - -141. Suppose 0 = 4*m - u - 10, 0 = 3*u - 14 + k. What is s in -2*s**m + 8\/3*s + 0 + 8\/3*s**2 = 0?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143.816 >= 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37407043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Let j be (-22)\/(-24)*2094\/(-15356). Let i = 3 - 4. What is the closest to i in w, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13527 by 4509.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 4*o. Suppose -7 = 4*f - 27. Solve 4*y - 4*a = 16, -o*y - 20 = -0*a + f*a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7187 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15696553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + d - 10. Let v(i) = i**3 - i + 11. Suppose 0 = 2*f + 1 + 5. Let j(h) = f*v(h) - 4*q(h). What are the prime factors of j(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/5 (b) 5 (c) 4 (d) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, o: 3, a: 1, f: 7}. Give prob of sequence fa.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.80833? (a) 0.4 (b) -0.4 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 c, and 2 y when four letters picked without replacement from {c: 2, m: 4, y: 7}?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 5880640.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f + 3*f + 21*f - 4*f + 0*f + 2*f - 1 + (2*f + 0*f - 3*f)*(-5 + 1 + 3) + 35*f + 50 - 50 to the form t*f + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 605 = -5*w + 3*w, -5*l + w + 3070 = 0. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.101 * -0.07278.\nAnswer: 0.00735078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from gtxxxtxvtxxgvagt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89135868 to the power of 1\/2, to the nearest integer?\nAnswer: 9441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d**2. Let s(l) = -611*l. Let o(b) = 5*b. Let g(p) = 247*o(p) + 2*s(p). Determine q(g(t)).\nAnswer: 1521*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**10\/75600 + x**9\/30240 - x**8\/10080 - x**7\/2520 - x**5\/12 - 2*x**2. Let t(c) be the third derivative of p(c). Factor t(f).\nAnswer: 2*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 38*u + 2320. Let j be k(-61). Let o = 0.1 - -0.1. Which is the nearest to o? (a) j (b) 3 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r + 306. Let n = 427 + -194. Let d = n - r. What are the prime factors of d?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*w - 192*w = -1558 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 - 34*l + 27. Let a be y(-15). Let b = -134 - a. What is the lowest common multiple of 1 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*u**2 - 12661*u + 25336*u - 259 + 771 - 12652*u wrt u.\nAnswer: 16*u + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 6. Let c be f(-7). Sort -1, 4, c in descending order.\nAnswer: 4, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1e (base 15) in base 9?\nAnswer: -3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -12403223?\nAnswer: -12403231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 220, 2\/11, 1, -6, -1, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 485900 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 12, 37, 74, 123, 184?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -337373105 and -6.\nAnswer: -337373111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 11) to base 10.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, g: 12}. Give prob of sequence agaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12007586.\nAnswer: 2, 6003793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 241\/5, -0.2, 4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 3*g**4\/4 - 3*g**2\/2 - 7. Factor j(v).\nAnswer: 3*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305, 611, 917, 1223, 1529?\nAnswer: 1835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 13*k**3 - 4*k**2 - 51*k + 161. Let f(r) = 11*r**3 - 3*r**2 - 39*r + 162. What is -4*f(s) + 3*g(s)?\nAnswer: -5*s**3 + 3*s - 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*a**2*l**2 + 7*a**2 + 13*a - 26*l**2 wrt a?\nAnswer: -30*l**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8720137ml?\nAnswer: 0.0008720137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2242*h**4 - 515520*h - 345600 + 1072*h**3 + 2239*h**4 - 168486*h**2 + 359*h**3 = 0?\nAnswer: -2, -1, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(0 + 0 + 1). Let u(i) = 2*i + 1. Let k be u(1). Suppose -k*d + 5*d = 2. Calculate the greatest common divisor of m and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(3 + q - 3)*(-1327 - 1422*q + 1327).\nAnswer: -2844*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 635 - 257. Let d be 0 - 2 - (c - 9). Let r be 6\/8 + d\/420. What is the smallest value in r, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r. Suppose k + 2*g = 8, 4*k + 4*g + r = 28. What is the smallest common multiple of 2 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/2454 - -4901\/17178. Sort 1\/4, l, 33, -1 in decreasing order.\nAnswer: 33, l, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 27. Let h = y + 5. Is (h\/2)\/((-5)\/(-150)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppwppwpw. What is prob of sequence pww?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*f**5 + 728*f**4 + 30266*f**3\/9 - 21532*f**2\/9 - 13768*f\/9 - 560\/3 = 0. What is f?\nAnswer: -35, -6, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 0, 1\/2, 10, 1 in decreasing order.\nAnswer: 10, 1, 1\/2, 0, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-230)\/(-138))\/(((-20)\/(-102))\/(-2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -73, -4, -3 in increasing order.\nAnswer: -73, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85262?\nAnswer: 2, 89, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1528\/(-4))\/(3 - (1 + 4)). Let u = l - 20. Suppose -747 = -6*c + u. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 3:51 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*(((sqrt(228) - sqrt(228)*-2*2)\/(sqrt(192)*-4))**2 + -2).\nAnswer: -333\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13188892 + -0.0536?\nAnswer: -13188892.0536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -30 - (11 - 11 - -20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 + 2 = 0. Let y be (g\/(-3))\/(1\/(-3)). What is the second derivative of 5*c + 2*c**5 - y*c - 4*c wrt c?\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1695, 3381, 5067, 6753?\nAnswer: 8439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 361*i**3 - i**2.\nAnswer: -361*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3af8 - -113a?\nAnswer: -29be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21076 divided by -43.\nAnswer: 21076\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -143 and -5.207335555.\nAnswer: -148.207335555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -31. Let m = w + 40. What is the biggest value in -4\/5, m, -4, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) 2 (c) 0.05 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 27*y - 7*y + 14*y.\nAnswer: 29*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -7 (b) 59494 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, i: 6, q: 5, r: 1, z: 2}. What is prob of sequence rbzz?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*c**4 + 903*c**3 - 1172*c + 179 wrt c.\nAnswer: -1008*c**2 + 5418*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + (8 - -8*60\/(-96)) + 4.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p**(2\/5)\/p))*p*(p\/(p**(1\/5)\/p))\/p*p)\/(p**6*p**(1\/3)*p*p*p))\/((p\/(p\/p**(1\/2)))**(-22)\/(p**(-1))**(4\/3)) assuming p is positive.\nAnswer: p**(53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0484741557 to six decimal places.\nAnswer: 0.048474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, j: 5, c: 1, m: 1, o: 1}. What is prob of sequence coj?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n - 144624 = -144078 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 15 = 3*h. Let d be (-2)\/(21\/12 - 2). Let w be -2 - 4\/(-4)*d. Calculate the highest common divisor of w and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 1. Let f be c(-1). Let j be f\/((-3 - -5) + -4). Suppose -d - 3*m - 4 = j, 4*d - m - 36 = -0*m. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/709 (b) 0.03 (c) -1\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 42447 (base 8) to base 7\nAnswer: 102420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -57*x + 172. Calculate r(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -242, 3\/7, -2\/5, 1 in decreasing order.\nAnswer: 1, 3\/7, -2\/5, -40, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:32 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + 1)*(-22)\/(-77). Suppose 3*w + r*j = 157 + 243, 0 = 4*j - 8. Calculate the common denominator of 1322\/w + 6\/(-33) and -25\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7185*y + 17350 + 5326 = -17639 + 370825 for y.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 413092 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 20*h**2 - 69*h + 5. Let c be z(23). Solve -4*t - c*i = -15, -2*t - 4*i + 12 = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 8*x + 11. Let a = 8 - -1. Let m be k(a). Suppose -s - 2*h = 2, s + 3*h + 4 = -3. Calculate the highest common factor of s and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 390862.4m to nanometers.\nAnswer: 390862400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**3\/6 + 13*p**2 + 6194*p. Let r = -18 - -29. Give b(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*x + 160 = 0, -o - x = 3*o - 154. Let j be 1 - 4\/12*o. Let z = j - -94. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4 + 1)*(-4 - s + 4) - 6*s + 13 - 13 to g + r*s and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9502, 9498, 9502, 9520, 9558, 9622?\nAnswer: 9718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -1)\/(1\/1)*-3. Solve -i - u*i = -8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Suppose 95*w + 12 = 98*w. What is the smallest value in w, y, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (8 - 5))\/(3\/3). Suppose -374*j + 385*j - 19217 = i. What are the prime factors of j?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2733*u - 15793 + 3439 - 22025 = 33946 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -5.255.\nAnswer: -2.6275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 49, 256.\nAnswer: 3, 49, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 3, -14, -2 in decreasing order.\nAnswer: 3, 2, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 147265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4270 divided by -36.\nAnswer: -2135\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 - 5. Let r(x) = 1. Suppose -4*d = -4*b - 8, -d + 2*b + 10 = -2*d. Let a(o) = d*r(o) - k(o). Differentiate a(t) wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5 = 4*d, -11 = -d + b + b. Let x(y) be the second derivative of -y**5\/20 + y**4\/2 - y**3\/6 - y**2 + 2*y. List the prime factors of x(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -241 + 138. Let y = l - -1127. Is 32 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894809 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/8*(6 - 2). Let f = -6.94 + 7. Let o = f - 0.06. Sort u, o, 0.2 in ascending order.\nAnswer: o, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z + 16*z - 4*z. Let h be u(-1). Let k = 47 + h. Solve 3*j = 7*j - 3*v + k, 2*v - 9 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19080768 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.62 + 23.62. Let q(b) = -35*b**3 + 1. Let a be q(-1). Let v = a + -107\/3. What is the nearest to v in -2, 5\/2, u?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + 72*v**2 + 1. Let l = 6 - 4. Calculate the remainder when l is divided by y(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 35. Suppose 0 = 2*i - 2*l + 4*l + 16, 0 = i - 2*l + n. Let o(c) = c**3 + 9*c**2 + 4. Let d be o(i). Solve -v + 20 = d*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -s + 2*s - 9429, m = 3*s - 28339. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 19 = -13*p. What is the remainder when p is divided by (-2 - -3)\/(2\/20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -384*x**5 - 11*x**4 + 2*x**2 + 2*x - 3016 wrt x.\nAnswer: -23040*x**2 - 264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(1 + -3)*-1. Suppose 3*i + 3*m = 12, -6*i = -c*i + m - 31. What is the smallest common multiple of 8 and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-349 - 0\/3). Suppose 5*i + q = 42. Suppose -21 = -5*m + 3*r, 4*m - 54*r = -50*r + 20. Sort m, -2, i in decreasing order.\nAnswer: m, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 - 2*b + 1. Let w be y(1). Suppose -w*x - 26 = -n + 6, 0 = -2*n + 2*x + 24. Solve -4*m = m + t + 21, m + 3*t = -n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 4214*k + 4214*k - 5*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7913.3 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, y: 1}. What is prob of sequence gggg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1*2837 + 5\/45*-9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + 67*j**2 + 9*j - 352. Determine w(-33).\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 326541 and 92560.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 62 = 3*x, m + x = -3*m - 104. Let b be (m\/(-10))\/((-1)\/(-1846)). Suppose -4*a + b = p, -a - a + 5*p + 2313 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**(2\/3))*(k*k**(1\/2))\/k*k**(3\/2)\/(k**(-1\/5)\/k*k) assuming k is positive.\nAnswer: k**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16243519219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 3*p - 4*p)*(0 + 3 - 5)*(-19*p**2 - 78*p**2 - 32*p**2).\nAnswer: -258*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from bbbee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 186768743\/1932 + (-2)\/(-1). Let m = h - 386383\/4. Let k = m - 461\/6. Find the common denominator of k and -57\/4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let h = -3 + n. Let t = h + 2. Which is greater: -2\/3 or t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 5*k**2 + 11*k + 8. Calculate z(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -61 and -0.2.\nAnswer: -61.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, k: 2}. Give prob of picking 3 l and 1 k.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -71. Let l be (1 - 0\/(-4))*m. What are the prime factors of (l*15\/6 - 2)*118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.72*1.6\nAnswer: -1.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 6 = 1064*j - 1059*j, -5*j + 6 = k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20703*c**3 + 10903*c**3 + 9770*c**3.\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 5*n + 163 - 40*n**3 + 44*n**3.\nAnswer: 4*n**3 + 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = -4. Find the common denominator of 2\/k - (-10)\/7 and 76\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000129224447 rounded to seven decimal places?\nAnswer: -0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = 13*i + 2*l + 16, 3*i + 2*l = -13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 24*l = -26*l - 201, 5*a = -2*l + 351. What is the remainder when a is divided by 10*9*2\/5?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 3)*(-4*d**2 + 2*d**2 + 3*d**2) - 3*d**2 - d**2 + 2*d**2)*(37*d - 239 + 239).\nAnswer: -111*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3296 by -821.\nAnswer: 3296\/821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 7*i**5\/5 - 3*i**2 + 2*i + 108. Find the second derivative of y(z) wrt z.\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(25)\/(sqrt(20)\/sqrt(4)))*5)**2 - (4 + sqrt(20) + sqrt(320) + -1 + sqrt(5)).\nAnswer: 139*sqrt(5) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.3, 5, -6\/7.\nAnswer: -6\/7, -0.3, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 184255, 184254, 184253, 184252, 184251, 184250?\n\"Answer: -g + 184256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -340663, -681274, -1021885?\n\"Answer: -340611*y - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 14*r = -2*r. Determine g, given that 0*g - 3\/5*g**2 + 3\/5*g**3 + r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 - 84*y**2 - 2647*y + 58. Determine m(63).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 257.275 + 3.188?\nAnswer: 260.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 926728, 926499, 926268, 926035, 925800, 925563, 925324?\n\"Answer: -m**2 - 226*m + 926955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r = -61 - 5. Suppose -2*g = -5*s - 44, 3 = 4*s + 19. Suppose -r*h + g = h. Put h, 2, 0 in decreasing order.\nAnswer: h, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20988, 41959, 62918, 83865?\nAnswer: 104800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -8\/7 (b) 38 (c) 1\/2 (d) 5 (e) -3 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183455, 733807, 1651061, 2935217, 4586275?\nAnswer: 6604235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -434 + 267. Let s = 335 + c. Does 27 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136 + -76. Let h = v - 12. Is h a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4958717?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5 = -631*a + 627*a, -a - 15 = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 + (-4)\/(-10). Suppose -10 = -5*x, -2*v - 5*x + 0*x + 84 = w. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6930000 to the nearest one hundred thousand.\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 7*m - 4. Let u(j) = -j**2 + j - 1. Let n(z) = -l(z) + u(z). What is n(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*7\/98*7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 72335?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 660*c + 6500.\nAnswer: (c + 10)*(c + 650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 - 67*r**2 - 1531*r + 609. Calculate j(49).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2624965*t. Let k(j) = 22*j**2. Determine v(k(s)).\nAnswer: 57749230*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12779249831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/6)\/(-8))\/((-10)\/75).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 - 4 + 1)*(-3*k - 9*k + 0*k) as q*k + w and give q.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.45 - 0.4. Let t = -3.05 + w. Let i be -1*0\/(-1 - 1). Put 4, t, i in descending order.\nAnswer: 4, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162 - 224 - (-8 - -4)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:30 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3246 is divided by 142?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 63\/4, -43, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-98588826)\/(-4050) + 2\/25 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.33037.\nAnswer: 0.033037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - ((-4)\/18 + (-8)\/(-36)). What is the closest to h in -0.1, 1\/2, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7529235 is divided by 221448.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 113.832 and -0.11.\nAnswer: -12.52152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/18 + (3 - 2). Suppose -2*v = -5*o - 142, 4*o - v - 12 + 125 = 0. Let x = o + 24. Is x >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + -30. Let i = -14 + 17. Suppose i*q + r - 73 = 9, -5*q = -2*r - 144. What is the highest common divisor of q and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*y, 4*f - y - 18 = -3*y. Let g(t) = -t**2 + 9*t - 18. Let v be g(6). Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v**3 - 2*v**2 + 2*v + 2. Let c(y) = y**3 - y**2 - y - 2. What is -2*c(h) - n(h)?\nAnswer: 3*h**3 + 4*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -13*r - 300. Let y be w(-24). Suppose 2*l - 10*a + y*a = 1680, -2 = a. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 9 = 0, g - 10 = 2*g + 5*r. Suppose g*l - 24 = 1. Suppose -5*i = x + 3*x - 24, -5*i = -l*x - 15. Which is smaller: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -494855\/4 or -123715?\nAnswer: -494855\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12269*m**2 + 12269*m**2 - 9520*m**3)*(3*m - 2*m + 0*m) - 2*m**4 - 3*m**4 + 3*m**4 to z*m**4 + y*m**2 + n*m**3 + p*m + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q - 38 - q - 39 - 79 to g*q + u and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 17*r + 4. Let l(k) be the first derivative of 17*k**2\/2 + 5*k - 174. Let c(i) = 5*l(i) - 6*o(i). Let y(t) = 5*t. Determine c(y(v)).\nAnswer: -85*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -1\/20*m**6 + 16*m**2 + 1\/70*m**7 + m**4 + 0 - 3\/20*m**5 - 2*m**3 + 0*m. Factor j(z).\nAnswer: 3*(z - 2)*(z - 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 958871*h**2*u**2 + 3*h*u**2 + 15*u**2 - 59*u + 162 with respect to h.\nAnswer: 1917742*h*u**2 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3638\/161 or 24?\nAnswer: 3638\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2351, -4722, -7093, -9464?\n\"Answer: -2371*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -2, 1908, 1\/7, 0, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476 + 1826 = 54*y. Calculate the greatest common factor of 35 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169380 - -244223. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-2\/7)*j)*j)**(-16)\/(j**(-1)*j*(j*j*j**(5\/6))\/j))**(3\/7) assuming j is positive.\nAnswer: j**(-269\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 220?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and (-11 - -8) + 3*3.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -13. What is the remainder when 23 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/2 + 19365*a**2 + 123200451*a\/2 - 5832294138.\nAnswer: 3*(a - 92)*(a + 6501)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/369 and -103\/6765.\nAnswer: 20295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -15030*q**4 - 10595*q**3 - 411*q**2 - 9*q + 5. Let u(n) = 7518*n**4 + 5297*n**3 + 206*n**2 + 5*n - 3. Let y(b) = -5*u(b) - 3*v(b). Factor y(h).\nAnswer: h*(3*h + 2)*(50*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40023257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*v + 18*v - v)*(-5*v + v + 3*v) - 112*v + 112*v - 121*v**2 + 3*v**2 + 0*v**2 - 5*v**2 to f + i*v**2 + y*v and give i.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 5:51 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 12*a - 693. Let z be s(58). Let c(o) = -o**3 + 8*o**2 + o + 1. Let d be c(8). Solve d*p**z - 3*p**3 - 3*p**4 - 6*p**5 + 0*p**3 - 3*p**5 = 0 for p.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647.97 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q\/q**(-22))*q*q*q**(-9)*q*(q**(-8)\/q)**(-1\/16) assuming q is positive.\nAnswer: q**(-455\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 247058?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 226389756 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1123777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -908654472 and 0.1.\nAnswer: -90865447.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3298*x - 144500 + 15878 = 0 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 2*r - 1543702. Let g(x) = -110*x. Calculate t(g(s)).\nAnswer: -12100*s**2 + 220*s - 1543702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 2*a + 8. List the prime factors of o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-245)\/(-21))\/7*6\/(8\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -6 + 8 + -66\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 584 and 17633588?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbubtoduw. What is prob of sequence udw?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36*k**3 - 24*k**3 + 12 - 23*k**3 wrt k.\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**5\/10 + 57*m**4\/4 - 522*m**3 - 1682*m**2 + 2156. Determine i, given that l(i) = 0.\nAnswer: -2, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.611164 + 2.563. Let r = l - -0.0482. Round r to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((418\/1518)\/19)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 715, 851, 1077, 1393, 1799, 2295, 2881?\n\"Answer: 45*j**2 + j + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 2*y**2 + 2*y + 1. Let r be x(2). Suppose -r*o = -4*o - 2. Suppose -o*a + 6 + 24 = 0. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*r - 79, 317 = 6*b - 2*b - 7*r. Solve 0 = 77*n + 150 + b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64320 by -804.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22631761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.258 - -0.058. Which is the fourth smallest value? (a) 2\/13 (b) y (c) 0.1 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8612463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -669 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1192*b**2 - 138 + 345 + 435*b**2 - 207.\nAnswer: -757*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 + 110. Suppose p = -l + 3*z - 7*z, l = 5*z + 20. Solve -9*c + 5*c + 12 = l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1712, 518, -1460, -4216, -7744, -12038, -17092, -22900?\n\"Answer: o**3 - 398*o**2 - 7*o + 2116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 17955?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*c + 6, -4*c - c - 3*j - 9 = 0. Let y(m) = m + 4. Let u be y(5). Sort 3, u, c in decreasing order.\nAnswer: u, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 388 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*v + 0*v - 13*v)*(-85 + 85 - 50*v + (4 + 0 - 2)*(0*v + 0*v - v)) to t*v + h*v**2 + j and give h.\nAnswer: 1196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 - 1. Let t(c) be the first derivative of -6*c + 1\/2*c**2 + 11. Let v be t(7). Determine n(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 13\/344?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0*h**4 - 7*h + 0 - 3\/10*h**5 - 1\/10*h**6 + h**3 + 3\/2*h**2. Solve f(o) = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*t + 6, 2*m - 3*m = 4. Suppose 2*g + 2*g - 8 = 0. What is the highest common divisor of g and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/984 and -19\/7951212.\nAnswer: 15902424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, j: 4, r: 10}. Give prob of picking 1 e, 1 j, and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 4*i + m - 3, 0 = 2*i - m + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence firi when four letters picked without replacement from {i: 2, f: 1, r: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 13808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3444 = -6311*z + 6229*z for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 16 = -5*a + 8*a, -s = -4*a - 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**4\/30 - 52*l**3\/15 + 676*l**2\/5 - 35152*l\/15 - 5. Solve n(g) = 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fosoffos. Give prob of picking 1 f and 1 o.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p - 2. Let s be g(-4). Let o be 0\/(5\/2 - (-7)\/(-14)). Suppose o*j - j = -s. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Let f(i) = -4*i - 3 + i + 5 + 4*i. Let t be f(p). What is the highest common divisor of t and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 1 (c) -0.03 (d) 87852\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 2*h**2 - 1. Let p be g(3). What is the highest common divisor of 396 and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*(-7)\/(140\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 13 = 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -85493000 rounded to the nearest one million?\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**3\/5 - 24*s**2\/5 + 18*s - 20 = 0?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*i + 81, z + 11 = i - 16. Calculate the greatest common divisor of 33 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v - 51*v - m = -27*v - 26, -60*m = 5*v + 130 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let f(d) = -3*d - 14. Suppose -64*z + 331 = 10*z + 257*z. What is z*x(n) - f(n)?\nAnswer: 2*n + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**7\/630 + a**6\/60 + a**5\/15 - 7*a**4\/12 + 4*a. Let i(q) be the third derivative of o(q). Factor i(x).\nAnswer: 4*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*s**2\/s*s*s**(-9) assuming s is positive.\nAnswer: s**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6996? (a) -5 (b) 18 (c) 3 (d) 2 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1239857.0071 + -1239781. Let d = -67 + -9. Let a = d + k. Round a to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - 0 - (27 - 1 - (-75 + 88)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-20 + -6 + 8 + 20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 40*i**2 - 545*i + 102. What is s(14)?\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -288 - 290 + 572 + 9*i**5 + (-i - 6*i + 2*i)*(i**2 - 2*i**4 - i**2) - 2*i**5 + 4*i**5 + 0*i**5.\nAnswer: 21*i**5 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45444551 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5499805?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 10:03 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8799641 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/g)\/g*g**(2\/5)\/g*(g**(-1\/3))**29 assuming g is positive.\nAnswer: g**(-199\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92822750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 8:54 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -56 (b) 28 (c) 1 (d) 3\/2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2*(-1 + sqrt(242)) - (sqrt(242)*-1 + -1))*3 - (-2 + (sqrt(242) - sqrt(242)*-2)*3 + 4))**2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60.054 + 60. Let j = -0.254 - l. Which is the nearest to -2? (a) j (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**2 + 31*k + 94. Is m(48) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 13*o - 162. Give u(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 91 = 5*u, 57*u - 56*u = -17*n + 84*n - 1270 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*t**4*u + 36542*t*u + 148894*u wrt t?\nAnswer: 12*t**3*u + 36542*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100934.\nAnswer: 2, 109, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 9*w**2 + 21*w + 10. Let n be x(-5). Suppose -3*j + 4 + 6 = 2*g, -n*j - 2*g = -22. Calculate the remainder when 66 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((50*4\/(-32))\/(57\/114))\/(-2).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -183765159 and -183765159 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7 or 6201?\nAnswer: 6201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -3*m + 15, 0 = -o - m + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 12\/(-9)*714\/(-28)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-30) - 8\/(-16).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -2*a + 6*a - 3*h, -2*a + 5*h - 63 = 0. What is the common denominator of 3\/(12\/98)*a\/(-56) and 41\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 76*i - 2587. Calculate a(34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20\/2461 - 122297\/15957124. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -4. Suppose x*h = 17 - 1. Solve -2*l = -2, -4*l = h*n + n - 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 4*x. Let u be f(-2). Suppose -3*t = 4*j, 5 = -3*j - u. Suppose t*l + 56 = 6*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1837, 3651, 5461, 7267, 9069, 10867?\n\"Answer: -2*w**2 + 1820*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**6\/300 + 37*o**5\/75 + 29*o**4\/12 + 24*o**3\/5 - 7*o**2 - o. Solve z(j) = 0 for j.\nAnswer: -72, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -341*p*w - 8064*p + 8*w wrt w.\nAnswer: -341*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 4 - 3 = 1 + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 335.00593 from 3.\nAnswer: -332.00593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**5\/5 - 486*c**4\/5 - 378*c**3 + 984*c**2\/5 + 5661*c\/5 - 4266\/5 = 0.\nAnswer: -158, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100000131 (base 5) to base 14.\nAnswer: 14c53b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*l + 7 = 0, 4*k - 24 = -3*l - l. Is k at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-440)\/160)\/(4\/16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1551 and 11869539?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times -4.049?\nAnswer: -0.44539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 15*o - 11. What is the units digit of w(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + z + 1. Let x(v) = -v**2 - v - 2. Let k(q) = 4*m(q) + 3*x(q). Does 7 divide k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -1050\nAnswer: 3150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 16) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -14\/21065?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693 at most as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 22 = -3. Suppose -5*u = -m, -y*m - 3 = -3*u - 25. Solve 2*t - m = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/30 and -81\/754?\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 126? (a) 50 (b) 0.3 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -13. Calculate the remainder when 37 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725339779 to the nearest integer?\nAnswer: 26932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3123346 or 15616736\/5?\nAnswer: 15616736\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-9))\/((-4)\/(-18)). Let q(n) = 3*n - 1. Let c(h) = -2*h + 1. Calculate f*q(i) + 5*c(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(1200)*-2) - (3 + sqrt(13) + 0 + 0).\nAnswer: -21*sqrt(13)\/20 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17\/9, -86833, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.22 and -95.\nAnswer: -20.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**0\/f)**(-7\/3)*(((f*f**(-1\/8))\/f)\/f*f)\/(f**(2\/3)*f) assuming f is positive.\nAnswer: f**(-43\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -265?\nAnswer: -79.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(625\/(-15)))\/((-7)\/(350\/(-5)))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67917314 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, f: 2, z: 1}. Give prob of sequence zfuf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 14339*b + 1. Let t(q) = 2*q. Calculate t(s(x)).\nAnswer: 28678*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529256 is divided by 5246.\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8882 (base 16) in base 11?\nAnswer: -47696a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 6*c**2 - 5*c - 3. What is f(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*u - 3 + 13, 0 = 5*u + 10. Let r be 6\/(-4)*(2 - (-27 - -5)). Let w = r + 40. Solve w = -y*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*n + 12 = -2*x - 168*n, 0 = 5*x + n + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 24?\nAnswer: -11\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w - 2. Let t be h(-10). Let g = t + -31. What is the hundreds digit of (-11)\/(-33) + (-329)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162626022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 76*s**7\/7 - 64*s**3\/3 + 16. Find the third derivative of j(c) wrt c.\nAnswer: 9120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5500.065 * 0.3\nAnswer: 1650.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 4*r + 20, 0 = -5*r - 3 - 2. Suppose -4*q + b - 2 = 0, 2*b = -q + 4*b - m. Suppose q = -7*z - 315 + 2086. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 10*k - 10. What is c(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**4\/4 - 3143*d**3\/4 + 26558*d**2 - 222860*d = 0.\nAnswer: 0, 44\/3, 20, 1013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(17) - (sqrt(153) + 1)) + 3 + 1*sqrt(17))**2.\nAnswer: -84 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 384050264?\nAnswer: -384050254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 809652504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 + 2.2. What is the smallest value in 7, n, 4\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**5 + 225*j**4 + 810*j**3 - 4320*j**2 = 0. What is j?\nAnswer: -6, 0, 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 14. Suppose u = -x, -3*v - 2*v + 96 = -4*x. Calculate the smallest common multiple of 10 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7219, -7771, -8309, -8827, -9319, -9779?\nAnswer: -10201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 70.1, 0.5, 0.1, -32, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -9893.\nAnswer: 25\/9893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/30019 + 51812803\/90057. Let s = -585 + f. Let g = s + 9. Which is the closest to 1\/2? (a) 0.1 (b) g (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 33, 92, 205, 390, 665, 1048?\nAnswer: 1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 30. Is 7 a factor of (-6)\/18 + 97\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) -345 (c) 0 (d) -0.3 (e) 5 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1476853, -1476847, -1476839, -1476829?\n\"Answer: q**2 + 3*q - 1476857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 22 - 162. Let t(o) = -2*o**3 + 125*o**2 - 411*o - 16. Calculate the remainder when t(59) is divided by m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**4 + 3*s**3 + 3*s - 18. Let t(v) = v**4 - 2*v**3 - 2*v + 18. Let c(m) = 2*b(m) + 3*t(m). Differentiate c(y) wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.91 + 0.804. Let y = 109.906 + q. Let m = 127 - y. Round m to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77536 + 200499. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386848529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (0 - -22) + -2. Let j(l) = 15*l + a*l - 25*l. Let d(r) be the first derivative of 2*r**2 - 28. Determine j(d(w)).\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 - 11*d + (-3 + 3 - 1)*(677*d - 40 + 40).\nAnswer: -688*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:56 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-560)\/7*(-8)\/(-32)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -40*h + 7. Let x(f) = 10*f - 2. Determine -2*d(r) - 9*x(r).\nAnswer: -10*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -21*h - 11. Let r(y) = 7*y + 4. What is -6*c(o) - 17*r(o)?\nAnswer: 7*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41393 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**5\/20 + p**4 - 5*p**3\/3 - 4*p**2 - 3*p. Let w be h(11). Is 2 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2097878 times 41?\nAnswer: 86012998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-15)*5*(-9 - -1)\/(-72). Which is the closest to 0.1? (a) s (b) 2\/111 (c) -0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -11, 7, 5 in ascending order.\nAnswer: -34, -11, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6488 + 164 = -3260*t + 3384*t for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 23\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 44. Let y(c) be the second derivative of 1\/2*c**2 - 1\/10*c**5 + 5\/12*c**u + 0 - 2\/3*c**3 - c. Factor y(n).\nAnswer: -(n - 1)**2*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/4 - 33*f**2\/4 - 2451*f\/4 - 2415\/4.\nAnswer: 3*(f - 35)*(f + 1)*(f + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (100\/(-15))\/(-10) - 45\/(-54). What is the closest to 0.076 in 3, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/1083 + 68111\/127794. Let q = -1691\/272 + 94\/17. Find the common denominator of q and s.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-1)\/1)\/((4950\/(-55))\/10170)\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - (8 - 64) - (-15 + -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 11:45 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 19*t**3 + 3*t**3 + 2*t - 8*t**2 + 5*t**3 + 9*t**3 in the form f*t**2 + q*t**3 + w*t + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002064 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 1. Suppose 0 = y - 1 - 1. Suppose -2*h + 5*i + 2 = 0, 0 = y*h - h + 5*i - 1. Let s be (-1 + -1)*h\/2. What is n(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-866)\/(-20) - (-394 - -437).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117591837?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 920c1 (base 16) to base 3\nAnswer: 1010101120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-120)*-2)\/(6\/(-2))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2\/11, 894, -2, 0.4 in descending order.\nAnswer: 894, 0.4, 2\/9, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -8)\/3*3\/2. Let q(g) = -2*g**3 + 7 + g**2 + g**j - 2*g**2 - 5*g**2 + g. Determine q(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*-230 + 66\/(-99). Let q = -147 - p. Let h(u) = 4*u - 23. Determine h(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9*v**2 + 41*v + 9. Give y(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -105*g + 122*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1844.40862*4\nAnswer: -7377.63448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 45247\/14 and 3231 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Let d = -114 - -97. Let f(g) = 2*g**2 - 13. Let q(z) = -5*z**2 + 38. Let c(p) = d*f(p) - 6*q(p). Give y(c(b)).\nAnswer: 4*b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3*m)\/m*m**(-1\/4)*m*m**(1\/6)*m*m*m**(2\/13))**(8\/3) assuming m is positive.\nAnswer: m**(1894\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 942 - q + 25*q + 945 - q**2. Let d be y(23). Find f such that -2\/9*f**d + 0*f + 0 + 2\/9*f**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2943673 rounded to 4 decimal places?\nAnswer: 0.2944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 9*t**2 + 4*t. Let u be g(8). Let w be 4\/18 + u\/54. What is the second derivative of w*d - 2*d + d**4 + 2*d**4 + d wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8085 and 7755?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*a + 69 = 3, -60 = -4*s + 3*a. Suppose 11*d = s*d - 6258. What are the prime factors of d?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {w: 2, f: 7, t: 1, k: 9}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3127, 3119, 3111, 3103, 3095?\nAnswer: 3087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-7)*(-15)\/((-420)\/(-49)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/5 + 6378*n\/5 + 83083\/5.\nAnswer: -(n - 6391)*(n + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2) - sqrt(3)) + -1 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -6 (c) 2\/13 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2053822172 and 2452?\nAnswer: 2452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**4\/16 + 23*z**3\/12 + 39*z**2\/4 - 1633. Determine c, given that f(c) = 0.\nAnswer: -3, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/8 - (15\/4 + -1). Let u be (-6545)\/(-22) + w\/4. Suppose -2*z - 3*y + 24 = -42, -4*z - 5*y = -128. What is the highest common factor of u and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2025 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61.8 + 70. Let i = -31706.80122 - -31698.6. Let n = z + i. Round n to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from {d: 1, a: 2, y: 2, e: 7}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 23963262.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/525*-10 - (-2)\/3. Which is the closest to 0? (a) j (b) -1 (c) -6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -27*m**5\/5 - m**3 + 7*m + 37. Find the third derivative of w(h) wrt h.\nAnswer: -648*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 0 + -5)*5 + -4.\nAnswer: -29 + 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 o when three letters picked without replacement from ksockoomkcox.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7910.023 decades to millennia.\nAnswer: 79.10023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*a**2 + 2*a**2 + 0 + 0 - a**2 - 4*a**2 + 6*a**2 + (3*a**2 - a**2 - 3*a**2)*(0 + 2 + 0) - 136 + 136 + 24*a**2 - 3*a**2 - 3*a**2 - 4*a + 7*a**2.\nAnswer: 28*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-630)\/(-28))\/((-9)\/(-6)). Solve f = -3*w, w - 3*w - 22 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 24, 3, 6, -6, 78 in decreasing order.\nAnswer: 78, 24, 6, 3, -6, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4\/7, 4 in decreasing order.\nAnswer: 4, -4\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -1760742?\nAnswer: -1760741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1212\/3232*-1*(-8)\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983197 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -55. Calculate the smallest common multiple of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + -319. Let y = k + 349.09. What is the biggest value in -3\/7, y, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 - 50 + 0*o + 2*o)*(24*o**3 + 13*o**3 - 2*o**3).\nAnswer: 70*o**4 - 3430*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/2 + 1170*t**3 + 683279*t**2 - 1370070*t + 1371241\/2.\nAnswer: (t - 1)**2*(t + 1171)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 13*y + 8 + 12 - 82*y**3 + 81*y**3 + 13*y**2. Let i be o(14). What is the highest common factor of 66 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 269 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 815890, 1631802, 2447716, 3263632?\nAnswer: 4079550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336000, 672000, 1008000, 1344000, 1680000, 2016000?\nAnswer: 2352000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/25*(1 - -2). Let g = -0.18 - -2.18. Let i(k) = -8*k + 65. Let v be i(8). Which is the second biggest value? (a) m (b) g (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2*s**4 - 6*s**4 + 6*s**4)*(9*s - 4*s + 6*s).\nAnswer: 22*s**5 + 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -104760972 divided by -970009\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 + 4*b - 15. Let h be g(-15). Suppose -2*l - h = 3*l. Let v be (-12)\/(-25)*l\/(-22). Which is bigger: 5 or v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1183*g**4 + 1176*g wrt g?\nAnswer: 14196*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/917 and 13.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.111 + 0.811. What is the closest to 1\/3 in 0.5, -16.1, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.11, 0.06, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-6 - 4 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3 + sqrt(612) + 1)*-1 + (2 + -1 + sqrt(612) - (sqrt(612) - 1*sqrt(612))*3)*3 + -4)**2.\nAnswer: 120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4593, -4592, -4587, -4578?\n\"Answer: 2*i**2 - 5*i - 4590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4253 = -2*j - 863. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/12267498 and 11\/117?\nAnswer: 478432422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-72)*-7*(-5)\/(-7).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 2*f - 6. Let p = 3841 + -3834. Determine z(p).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/5 + q**2 + 7*q\/5 + 3\/5 = 0. What is q?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2485.999963341 - -2486. What is i rounded to 6 dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67872 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-18)\/15)\/((-4)\/(-730)). Let k = 1028 - s. Suppose -k = -11*l - 92. Solve 5*v - l = -12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 4*n. Let c be r(-3). Let f be ((-3)\/27)\/((-1)\/c). Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 811000 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1057 and 36993037.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72701677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1785 - 1784.993743. Round a to four dps.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*l + 49*l - 6 - 136*l + 143*l + 158*l.\nAnswer: 406*l - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1753, 3546, 5339, 7132, 8925, 10718?\nAnswer: 12511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 1. Let t be j(-3). Let c(i) = -i**2 - 5*i - 3. Let b be c(-4). What is the units digit of t\/5 + 30*b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6 - 0\/(-68).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 44532?\nAnswer: -44532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/(-14) + 4 + -8. Put d, 3, 1 in decreasing order.\nAnswer: 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 1 + 5. Let t(d) = -3*d + o*d + 7*d + 10*d. Let i(f) = 9*f**2 - 5*f. Let a(u) = -5*u**2 + 3*u. Let g(n) = 5*a(n) + 3*i(n). Determine t(g(k)).\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(175) - 2*sqrt(175)) + 3 + sqrt(175) + sqrt(175) + -3.\nAnswer: -1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 - 4*y - 642. Let n(q) = -2*q**2 - 3*q - 635. Give -4*n(m) + 3*o(m).\nAnswer: -m**2 + 614","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -110202110 (base 3) in base 7?\nAnswer: -36054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 2:05 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 8*i**2 + 6*i - 9. Let t(a) = 4*a + 69. Let j be t(-14). Suppose -2*z + 7 = -k, -5*k + 2*z - j = 22. Give p(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 11*f + 4 - 6 + 1.\nAnswer: -11*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 12*m - 95. Let v be c(5). Let i = -30 - v. Sort i, 11, -3, 4 in descending order.\nAnswer: 11, i, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - (4 + -1) - -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 286, 316, 366, 442, 550, 696, 886?\nAnswer: 1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51225 and 0.\nAnswer: 51225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 9. Suppose -b*w + 29 = -6. Calculate the remainder when 25 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2456 or -2454?\nAnswer: -2454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1929 times 0.1\nAnswer: -192.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-160)*(-2)\/9*3.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/16 - 14823\/(-19032) - (-308)\/26?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5 + 73. Calculate the remainder when 166 is divided by m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77332 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16129\/224 + -2295\/32. Let n = -0.47 - 0.03. Sort v, n, -2\/33 in decreasing order.\nAnswer: v, -2\/33, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33760 and -2047?\nAnswer: -69106720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 14 - 33*o + 106*o**2 - 9*o**2 - 121*o**2 + 11*o. Give d(-23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) 16 (c) 4 (d) -0.2 (e) 0.4 (f) -0.136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100906 + -71649. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26 - (5 - (1 - -1)). Let x = w - 21. Sort 0, -5, x in descending order.\nAnswer: x, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + (4 - (10 + (10 - 6)))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + 7*q**2 - 13*q + 85. Let z be t(-6). Let p(h) = 3*h - 36. Let f(o) = -o + 12. Determine z*f(v) - 6*p(v).\nAnswer: -v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b\/b**3*b*b*b)**5*b\/(b**(-4\/9)\/b)*b**4*b)**(-50) assuming b is positive.\nAnswer: b**(-12350\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x. Let b(m) = 11*m + 6. Let k = -41 + 32. Let l = k - -3. Let u(i) = -1. Let h(j) = l*u(j) - b(j). Determine t(h(c)).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/16712 and 133\/1420520.\nAnswer: 1420520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.18395g to kilograms.\nAnswer: 0.00818395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.4 (c) 4 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -3*z**4\/2 - 4*z**3\/3 - 3*z**2\/2 + 4*z - 6. Let j(u) = 13*u**3 + 9*u**2 + 7*u - 9. What is 4*j(t) + 9*r(t)?\nAnswer: -2*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13081153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*w = -88*w + 90*w + 1195. Solve -w*u + g - 18 = 0, 4*u - 2*g = 3*g - 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 719, 2860, 6429, 11426?\n\"Answer: 714*p**2 - p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/256*-8*198706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000072922 rounded to 7 decimal places?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -18. What is the third derivative of 2*b**6 - 3*b**6 - b**2 + 2*b**6 + 9*b**t wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -13*z**3 - 9*z**2 - 4. Suppose -q + 3*g = 15 - 7, 0 = -2*q - 4*g + 4. Let l(y) = -3*y**3 - 2*y**2 - 1. Calculate q*i(h) + 9*l(h).\nAnswer: -h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from urnrdtr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5 = -8*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/42 and 5 + 1633\/6*1179\/(-64190).\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 206468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/21 - 4)*(-72)\/2112*-22?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 3*l**2 + 5*l + 5. Let m be o(-4). Let i = 6488\/19 - 629450\/1843. Is i at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 676 + -691. Let o(y) be the third derivative of -y**4\/8 + 7*y**3\/3 + y**2. What is the tens digit of o(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**2 + 2*v + 7. Let c be t(-6). Let h = -173 + c. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 6*m - 4*m)*(1 + 10 + 5)*(0*m**2 + 2*m**2 + 0*m**2).\nAnswer: 64*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -151457198 and 43865.\nAnswer: -151413333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 11:26 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*n**5 - 4 + 4 - n - n**5 + n - 3*n**5 - n**5 + 3*n**5 + (3*n**2 - n**2 - 4*n**2)*(-n + 2*n**3 + n).\nAnswer: -25*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*h - 35*h = -2*i + 724, i - 352 = 4*h. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times 4510685?\nAnswer: -947243.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*l**3 + 28*l + 18*l - 31*l + 21*l**3 + 78*l.\nAnswer: -5*l**3 + 93*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (16\/26)\/(1818\/(-3939))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78*(39\/(-65))\/(6\/(-5)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 - 119.5. Which is smaller: m or 0.03?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*v + 30 = 0, 4*v - 12 = -3*z - 2*z. Let j = -944 - -1163. Suppose z*n - j = n. List the prime factors of n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-514316\nAnswer: -4114528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d - 700. Let l(c) = -2*c. Give s(l(t)).\nAnswer: 10*t - 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/3 - (0 + -2). Let j be 2\/7 + (4 - (-1105)\/(-119)). Sort b, j, 2, -2 in decreasing order.\nAnswer: b, 2, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/45)\/(-5 - (-115)\/15). Let x(g) be the third derivative of 1\/4*g**4 + 0 + 4*g**2 + 0*g - c*g**5 - 1\/2*g**3. Factor x(j).\nAnswer: -3*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-430)\/(-30) - 9)\/((-4)\/(-1206)). Let g = z - 1128. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902405081.\nAnswer: 902405081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2. Let i(u) = -10*u**2 - 8*u - 8. Let d(z) = 7*z**2 + 5*z + 5. Let p(o) = -8*d(o) - 5*i(o). What is p(q(m))?\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5 - 0. Suppose -2*n = 5 - 1. Let k be 5\/n*3\/30. Which is smaller: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 4*w + 3. Suppose g + 180 = -3*g. Let u be ((-2)\/(-3))\/(6\/g). Calculate z(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2030011 (base 4) to base 13.\nAnswer: 4108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6039, 11, 1, 10 in descending order.\nAnswer: 11, 10, 1, -6039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 414279 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8098 - 11c?\nAnswer: 7c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 9 = -3*v + 15, -32 = -4*v + 4*o. Suppose 88 = v*y + 3*y. Let g(n) = n**2 - 11*n + 23. Let f be g(2). Solve -y + 3 = f*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 16. Let o be r(-10). Let x(l) = 82*l - 4. Let s(p) = 41*p - 2. Let b(n) = o*x(n) - 11*s(n). Does 13 divide b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 10 - (-23 - -78)) + -12 - 2?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*r**3 + 189*r**3 - 1771*r + 3528*r - 1757*r.\nAnswer: 358*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84262 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 14415.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/27 and -42\/76463?\nAnswer: 2064501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c**3 + 2*c**2 - 2*c**2)*(-1 - 1 + 3)*(221*c + 470*c + 452*c - 1) to the form n + d*c**2 + r*c + z*c**4 + l*c**3 and give z.\nAnswer: 3429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1160)\/(-812))\/(60\/(-504))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 - 11*d**2 - 5*d**2 + 22*d**2. Let s(t) = -16*t**2. Give s(q(m)).\nAnswer: -64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 8106?\nAnswer: -4053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39836045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129960 and 1080.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225852 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuxuwwuxruwu. What is prob of picking 2 u and 2 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 44*h**3 + 35 + 143*h**3 + 8*h**2.\nAnswer: 187*h**3 + 8*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -248011 >= -248011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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: Calculate -4 + 1763.72.\nAnswer: 1759.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -3 + 3, 7*o + 27 = 4*o - 4*q for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 3*j = 36. Let q = j + -5. Does 16 divide q*67 + -3 + 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 7*b**2 + 9*b - 14. Let l be o(6). Let w be (-2)\/l*(-7 + (-5 - -4)). Solve -4*s - w*a + 20 = 0, 3*s - 5 = 2*a + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 2*p + 5. Let l be h(-4). Suppose 2*z + 16 = -2. Let g = l - z. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b77a5 + 25?\nAnswer: -4b7780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 + 4*o**2 - 7*o + 5. Determine f(4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**3 + j**2. Let i(n) = 19*n**3 - 6*n**2 - 2*n + 2. Let q(o) = -6*d(o) - i(o). Let l(z) = z**3 - z + 1. What is 5*l(p) + 2*q(p)?\nAnswer: 3*p**3 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fifiiififill. What is prob of picking 2 i and 2 f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/6 - 4*v. Let l(z) be the third derivative of z**2 + 0*z**3 + 1\/10*z**5 + 0*z + 0*z**4 + 0. Give l(y(j)).\nAnswer: 24*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2219*g - 15509. Give o(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22088916701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 316 and 25596.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5 - 3 - 7 + 518*i + 2 - 5. Is b(1) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r\/(r**(-10)\/r*r))\/r)*r**(-13)*((((r*r**(-4)*r)\/r)\/r)\/r)**(-3\/8))**16 assuming r is positive.\nAnswer: r**(-306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 41 = o, -14*o + 21*o = 6*q + 12*o - 60 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24 - (122\/183)\/(4\/30). Let y = -382 + 686. Calculate the highest common factor of y and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 8*o - 20 - 3*o - 7*o + 12 + 2*o**4 - 7*o**3 as m + r*o**4 + f*o + v*o**3 + l*o**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -131403.858 rounded to the nearest one hundred?\nAnswer: -131400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - -7.99. Let u = 10730\/9 + -1192. Which is the biggest value? (a) u (b) 6 (c) m (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37722 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27668244.\nAnswer: 2, 3, 31, 74377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**7\/(z*z\/(z*z**(5\/2)*z)*z) assuming z is positive.\nAnswer: z**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x + 17*x - 11*x + 55*x**2 in the form q + b*x**2 + n*x and give b.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*u = -71, 5*u + 115 = 5*f - 0*f. Let d = -58 + 35. Let k = d + 33. What is the greatest common divisor of k and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165575237?\nAnswer: 163, 443, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -6. Let q = m + 8. Let x = 0.04 - 3.04. Which is the closest to q? (a) x (b) 0.3 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 4*t**2 + t - 1. Let b be (-23)\/(-7) + (-4)\/14. What is the least common multiple of 5 and p(b)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108 + 3 + -5)*1656\/(-19872)?\nAnswer: 55\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -8 + (6 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -9. Let c(l) = l**2 + 7*l - 9. Let j be c(p). Suppose 12 = -0*w + 4*w. Calculate the highest common factor of j and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -18*d**2 - 219670*d + 24408 = 0.\nAnswer: -12204, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/g)\/g**(-5\/3)*g**(2\/3)*g**3 assuming g is positive.\nAnswer: g**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 8:05 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4)\/((-8)\/16). Solve 5*l - 22 = -4*c + 3*c, 2*l + r*c - 1 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 14.6. Let m = u + -0.2. Sort 2\/5, m, 6, 1\/3.\nAnswer: m, 1\/3, 2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7363499.\nAnswer: 11, 13, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099440227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 38 + 381 + 2*y - 48 + 147 to the form x + w*y and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20, 38, 68, 110, 164?\n\"Answer: 6*c**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8871859l in millilitres?\nAnswer: 887.1859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 h when three letters picked without replacement from nhfgvgggcgvhfghfhvgv.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, w: 5}. Give prob of picking 1 n and 1 w.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6630*o**2 + 31101335*o - 23455 = 0 for o.\nAnswer: 1\/1326, 4691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5184691 to the nearest integer?\nAnswer: 2277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) -4 (b) -12\/13 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 2, 23.\nAnswer: -4, 2, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -126304, -505806, -1138506, -2024404, -3163500, -4555794?\n\"Answer: -126599*h**2 + 295*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 557714390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10686 is divided by 981.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19095 is divided by 3179.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 476241.4 decades in centuries?\nAnswer: 47624.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73838*b**5 + 2*b**2 + 1033*b + 2?\nAnswer: 4430280*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - q - 400. Does 20 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -997d7 (base 15) to base 16\nAnswer: -77161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 + 812 - 90666934*o + 90666934*o - 6*o**2 + (-o + o - 2*o**2)*(0 + o + 0).\nAnswer: -4*o**3 - 6*o**2 + 812","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 37 = -3*f, 4*g + 0*g = -3*f + 35. Let o = g + 3. Suppose l - 2 = o. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/25))**(-1\/20) assuming d is positive.\nAnswer: d**(-1\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:59 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 787, 1579, 2349, 3085, 3775, 4407?\n\"Answer: -2*d**3 + d**2 + 803*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, 2, -190, 1044, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 132 = -3*l + 135, -4*l = -5*w - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15411 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*w + 3895 + 52*w - 1948 - 1947.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 422*l + 1688. Let p be q(-4). Which is smaller: 21\/484 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uh when two letters picked without replacement from qnhuhqf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -0.2, -8 in decreasing order.\nAnswer: 5, 0, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -4*k - 20, -24*d + 11 = -29*d - k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/72 and 33\/346.\nAnswer: 12456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 13*p - 11. Let f be z(14). Which is smaller: f or 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 562*m + 1 - 627*m**2.\nAnswer: -627*m**2 - 562*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 8*f + 25. Let k be y(-13). Let h be k\/6*(-162)\/15. Calculate the highest common divisor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7823 is divided by 90.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/k**(-38)))**(8\/19))**(-8\/15))**(-1\/6))**3 assuming k is positive.\nAnswer: k**(-64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 - 2 + 2 - 2*m**4 - 8*m**4 - 2*m**4 + (-m**3 + 2*m**4 + m**3)*(1 + 0 - 3) + 3*m**4 + 0 + 0 as d*m**3 + k*m + v*m**4 + q*m**2 + w and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -605287?\nAnswer: 302643.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 418*q**3 + 133. Let r(c) = 19*c**3 + 9*c**2 + 63*c + 15. Let s(x) = -x**2 - 7*x - 1. Let w(m) = r(m) + 9*s(m). Determine 6*j(b) - 133*w(b).\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (13 - (-67 + 42))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*1*(-6)\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -962*b**2 + 3553?\nAnswer: -1924*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.17001nm in meters?\nAnswer: 0.00000006617001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 102\/8 - (-5)\/20. Let z(b) = 7*b**2 - 5*b**2 + 3*b + 5*b + w - b**2. Calculate the remainder when z(-9) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811516315 a multiple of 5095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*h = -14, 6*v - h = v + 14. Solve 3 = 5*q - v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20179504 to the power of 1\/2, to the nearest integer?\nAnswer: 4492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 12:18 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 368 and 13932100.\nAnswer: 1281753200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jeejrjreeejjrjjeb. Give prob of picking 1 b and 1 r.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0 (b) -4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 9*c**2 - c + 3. Let y(a) = 9*a. Let h be y(-1). Let d be p(h). Is 1\/((-8)\/(-82))*d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98917492 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, c: 1, a: 8, d: 7}. What is prob of picking 1 l and 1 c?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*m - 4 + 24, -m - 5*l = -5. Suppose 0 = -x + q + 5, 2*x - m*x - 2*q + 10 = 0. Solve -5*n - 4*r - 24 = 0, -x*n - 7 = -2*n - r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p + 13 = 4*t + 18*p, -2*p = 2*t - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2899078\/5 + 579818. Solve k + 92\/5*f + 44\/5*f**5 + 312\/5*f**3 + 248\/5*f**2 + 188\/5*f**4 = 0 for f.\nAnswer: -1, -3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1318+0.89\nAnswer: 1.0218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11847 - 11846.39935. Let f = j + -0.6. Round f to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9444407 to the nearest integer?\nAnswer: 3073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 2666100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -54219, -54217, -54215, -54213, -54211, -54209?\n\"Answer: 2*q - 54221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 20 = -2*q. Let m(k) = -3*k + 1. Calculate m(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207510965 divided by -1165\nAnswer: -178121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**3 + 24*u**2 - 39*u - 15. What is g(-8)?\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*w**2 + 32*w**2 - 3 - 15*w - 77*w**2 + 3 in the form u*w**2 + k*w + i and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 8:13 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1918176822 less than -2?\nAnswer: -1918176824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 - b?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/74478 and -9\/55.\nAnswer: 4096290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 367.5241 micrograms to nanograms.\nAnswer: 367524.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 9*y + 6*y = -4, 2*d - 3*y = 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 13*l - 44. Suppose -u = -3 - 51. Suppose -d = l - u. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81 - 300*r - 3*r - 81 to the form m*r + j and give m.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**3\/3 - 5*c**2 + 6*c + 43. Give o(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 32 = -3*o, 2*q = -5*o - 53 + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - -3 - (8 + (-472)\/56). Let q be 15\/21 + 2\/(-7). What is the second smallest value in 0.4, q, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - w - 13, -4 = y + 4*w - 2*w. Suppose -h - 4*k - 3 = y, -1 = -h - k. List the prime factors of -1*h\/(-2) + (-486)\/(-4).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855?\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13080 + 14580. What is the highest common divisor of 132 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1152*r**4*s**2 + 27*r*s**3 + 2*s**3 - 15549*s**2 wrt r.\nAnswer: 4608*r**3*s**2 + 27*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1849009 + -167?\nAnswer: -1849176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 21599 = 799. Round k to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = h + 11, -2 = h - 2*b + 4. Let p be h - 5\/(15\/(-6)). What is the units digit of 11 + (-3)\/p*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3, -3*n = -4*p - 2*n + 125. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 504 + -359. Let n = g + -90. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 3)*(-6*v - 14*v - 14*v) + 3*v + 0*v - v.\nAnswer: -168*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 3:17 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46848 - 5153209\/110. Let g = 432 + -4746\/11. Let v = l - g. Is -1 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14530 + 0*t - t - 25*t + 14530.\nAnswer: -26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -201*i**2. Let v(m) = m**2 - m. Let g(n) = -6*n**2 + 5*n. Let w(o) = g(o) + 5*v(o). Calculate b(w(d)).\nAnswer: -201*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2010)\/20)\/1*(-2)\/(-54) and 7\/716.\nAnswer: 6444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 258*l**2 + 6*l + 11. Is o(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o - 0 + 10. Solve -3*m - 4*c = -5 - 20, 0 = m - c + o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46\/9 + 239\/45. Which is the closest to -0.2? (a) l (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65911, 65904, 65893, 65878, 65859?\n\"Answer: -2*t**2 - t + 65914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*x + 8 = -x, -2*x + 2 = 0. Let v(y) = y**2 + 2*y - 2. Let q(k) = 2*k**2 + 3*k - 4. Let r(c) = j*q(c) - 5*v(c). Find f such that r(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7735 and 533120.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1109\/6 or -184?\nAnswer: -1109\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -5*q + q. Let r be (-9)\/3 - 75\/q. What is the closest to 1 in r, -5, -2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2.05. Let i = 183 - 183.1. Are i and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 12669938 - 14530062. What is g rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19817 at least as big as -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -0.3, -0.2, 3\/8 in ascending order.\nAnswer: -0.3, -0.2, -1\/8, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - x**2. Let n(d) be the second derivative of d**5\/5 - d**4\/4 + d. Let f(w) = -n(w) + 6*r(w). What is the third derivative of f(v) wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/43748 and -7\/196866.\nAnswer: 393732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r + 9. Let i(l) = -9*l + 10. Let q(h) = -h**2 - 8*h + 5. Let n be q(-8). Let s(y) = n*i(y) - 6*v(y). Let o(a) = a - 1. What is 12*o(m) - 3*s(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 30. Suppose j = 3*i - 400, 0*i = i - j - 130. Suppose i = 5*w - 215. What is the greatest common factor of m and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r. Let t(n) = 9*n. Let p = -38 - -36. Let c(s) be the first derivative of s**2\/2 - 2. Let i(g) = p*c(g) - t(g). What is i(f(w))?\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 48402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 383*w**3 - 6*w**2 - 369. Let r(m) = 765*m**3 - 15*m**2 - 739. Let h(y) = 5*o(y) - 2*r(y). Differentiate h(j) with respect to j.\nAnswer: 1155*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g - 281. Determine z(40).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n + 32. Let m be w(-15). Suppose -a + 215 = -2*g, 557 = -5*g - m*a - 2*a. Do g and -109 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**2 + 3100470*r + 480645711045 = 0. Calculate r.\nAnswer: -310047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 at least 280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**6\/39 + 3*i**4\/13 + 16*i**3\/39 + 3*i**2\/13 + 48. Find d, given that p(d) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2950 = 5*i - m, 4*i - 2360 = 4*m. Let f = 593 - i. Solve f*p - 3*s - 27 = 0, p = 3*s + 12 + 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(119)*3*-6 - sqrt(119))\/((-1*sqrt(63))\/sqrt(9)).\nAnswer: -95*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 0. Let y = -14 + 13. Let a be (6\/t)\/(y\/(-2)). Is -1\/2 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 10) to base 14\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1711, -6850, -15415, -27406, -42823?\n\"Answer: -1713*f**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/6864 and 139\/6522516.\nAnswer: 26090064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1633 (b) -0.274 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -206278*k**2*y - 1591*k**2 - 15*k + 1 wrt y?\nAnswer: -206278*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 106372 = -x - 15252, -2*g + x + 48652 = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46222569 a multiple of 628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 4. Suppose 2*q - c + 0 = 3*t, -5*t - 2*q = -2. Suppose 3*x + 2*b - 26 = 0, -2*x - 3*x = -3*b - 18. Solve t*w - x = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6982596 by 33.\nAnswer: -2327532\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454910249?\nAnswer: 454910249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -281?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -41*q**2 + 2*q - 41. Let n(p) = 205*p**2 - 11*p + 204. Let g(i) = 11*h(i) + 2*n(i). Find the first derivative of g(u) wrt u.\nAnswer: -82*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5\/4 + 1. Which is greater: 5 or f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1250, -1230, -1164, -1028, -798, -450, 40, 696?\n\"Answer: 4*f**3 - f**2 - 5*f - 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/570 and -47\/38.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3562269451\/306 - -11641425. Let m = h - 10\/153. Let p = m - 115\/4. Calculate the common denominator of p and -101\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211 (base 3) in base 13?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/6 - 5*z**2\/6 + 4*z\/3 + 2.\nAnswer: -(z - 2)*(z + 1)*(z + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d41 + 2ac?\nAnswer: -a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -0.2. Let n = 1513\/2283 + 3\/761. What is the closest to n in 3\/5, y, 2\/11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*n = 3, 0*n = 5*h + n - 11. Suppose -r = -0*r - 6. Let t = h + r. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, a: 6, l: 6}. Give prob of sequence laa.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 5*d - d + 4*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/3)\/(i*i**(1\/18)))**22 assuming i is positive.\nAnswer: i**(-473\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -2\/7, 1\/5, -23, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 16081?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164 + -171 + (-2 - -1 - -2) + (55 - -4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t. Let u(w) be the second derivative of -459*w**4\/4 + 3*w + 1209. What is r(u(f))?\nAnswer: -1377*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 522402 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 4. Let y(m) = -m**3 + 4*m**2 - m - 4. Let s be y(i). Suppose 0*f - s = -f. Put f, -5, 1 in descending order.\nAnswer: f, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1.8, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/2 - k**4\/2 + 5*k**3\/2 - 3*k**2\/2.\nAnswer: -k**2*(k - 1)**2*(k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28548418.60000006 + -28548419. Let r = 4 - 3.6. Let d = h + r. Round d to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*h**2 + 0 + 1\/3*h.\nAnswer: h*(h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -877 + 42 = -54*r - 113*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -11 - (13 - (26 + -10))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11426?\nAnswer: 2, 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390*x - 1585*x + 201*x.\nAnswer: -994*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m = -18. Let s be ((-9)\/6)\/(3\/m). Suppose -2*q = s*q. What is the second biggest value in -1, q, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2937 + -0.2936996626. Round m to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9 = 11, p = -q + 17290. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -267 by 13.\nAnswer: -267\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-943.\nAnswer: 94.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*b**2 + 15*b - 3*b + 24 - 12*b with respect to b.\nAnswer: 110*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 1}. Give prob of picking 1 p and 1 z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-16)*2*0. Which is smaller: 4\/21 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 divided by 52?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4787 is divided by 4729.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**3\/7 + 17337*n**2\/7 - 500412*n\/7 + 931500\/7 = 0.\nAnswer: 2, 27, 5750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*i - 4, i + 3*f = f - 4. Sort i, -5, -4.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p + 0*p + 4*p + 2*p + 3*p**2. Let s be t(-1). Solve s = 2*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-65))\/((6\/26)\/3). Let r(f) be the second derivative of 1\/6*f**3 - 5*f**2 + 0 - i*f. Give r(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 3*u + 3. Let x(n) = -4*n**2 + 7*n - 7. Let f(m) = 9*r(m) + 4*x(m). Calculate f(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 374000.76 microseconds to weeks.\nAnswer: 0.0000006183875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41 or -122\/3?\nAnswer: -122\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -14*i - 4. Let q(v) = -17*v - 5. Let o(w) = -5*q(w) + 6*s(w). Calculate o(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*s + 32, 4*b - 2*b + 3*s - 28 = 0. List the prime factors of b\/3 + 3\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25214749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Let h(a) = 2*a - 4. Let v be h(3). Let n(y) = 0*y**v - 5*y**2 + y**2. Determine u(n(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00669561 rounded to 5 dps?\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -90, -167, -244, -321, -398, -475?\n\"Answer: -77*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(30) + (sqrt(30) - ((sqrt(90)*4)\/sqrt(3) + sqrt(30)))))\/(sqrt(640) - -4*(sqrt(640) - (sqrt(640) + sqrt(640)*-2)))*1)**2.\nAnswer: 25\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 18725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**3 + 37*g**2 - 4*g - 3. Let r(a) = 2*a**3 + a**2 - a - 1. What is -f(w) + 3*r(w)?\nAnswer: 2*w**3 - 34*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + 19*m - 14. Suppose 14*t + 58 = 184. Determine j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1103.883116 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10587*w - 5642885. Give y(-533).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -126, -4, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57241, 57240, 57239, 57238, 57237, 57236?\n\"Answer: -y + 57242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -28*v**3 + 5*v**2 + 4*v - 12. Let i be s(6). Let g = i + 2856. What is g rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 0 + 9931*x - 4456*x - 4776*x to y + a*x and give a.\nAnswer: 699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p - 45*p + 69*p - 232 = 0. Solve -2*r = 2*j - 7*j - 27, -4*j + p*r = 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3035353 (base 6) to base 9.\nAnswer: 241006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 30326*u**2 - 11105*u**2 + 2 to the form c + x*u**2 + y*u and give x.\nAnswer: -41431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 2)\/(4\/2). Suppose a*w = 2*w - 308. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*v = 100, 5*v = -2*w + 2*v + 53. Calculate the lowest common multiple of 12 and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 + -153 - 277\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2. Let a(g) = -708*g - 683. Give a(r(i)).\nAnswer: 2124*i**2 - 683","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 12*o + 5. Let u be s(-8). Let f = u - 17. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5927.46ml to litres.\nAnswer: 5.92746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -14876534?\nAnswer: -1\/14876534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -494? (a) -1\/4 (b) -3\/2 (c) -2\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093 divided by 1598?\nAnswer: 1093\/1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 46. Let d = 8 - 5. Let t be (-4)\/6 - 4\/d. Is v != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*u + 3086. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1433413 + 21?\nAnswer: 1433434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.36. Let y = -0.21 - f. Let l = -0.05 - y. Which is the nearest to 2\/7? (a) -0.5 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5.0312 (b) -6 (c) -41\/8 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 9618021?\nAnswer: 105798231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42.116 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3481 + 6768. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1837616 (base 11) to base 15\nAnswer: -4179bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655469246?\nAnswer: 2, 2551, 128473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 62750, 62741, 62730, 62717?\n\"Answer: -j**2 - 6*j + 62757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574*g**2 + 156*g + 8\/3*g**4 - 602\/3*g**3 + 0 = 0 for g.\nAnswer: -3, 0, 1\/4, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -446038.93 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 6*d = -5*r - 12, -5*d - 2*r + 9 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197 - -51. Let v = 160 + i. Calculate the remainder when 51 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**5\/30 - 5*h**4\/8 + 2*h**3 - 557*h**2. Give x(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 321 and 265454.\nAnswer: 85210734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 7 + 18)*(m**3 - m**3 + m**3) as k*m**3 + i + w*m + v*m**2 and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 504870813 to the nearest integer?\nAnswer: 22469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 18. Suppose 0 = a - 4, -5*a + w = -2*n + n. Let t = n + -1. What is the second smallest value in 0.3, t, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 547308846 by -16218.\nAnswer: -33747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, g: 2}. What is prob of picking 2 l and 1 g?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -57096, -57095, -57092, -57087?\n\"Answer: w**2 - 2*w - 57095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24228737*h**2*o**2 + 9364357*o**2 wrt h?\nAnswer: 48457474*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/5 - 57936*z**3\/5 + 1216068*z**2\/5 - 8511104*z\/5 + 19857642\/5.\nAnswer: 2*(z - 28947)*(z - 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7786071 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in 5\/14, -5, -2, 5, -136, 2\/7?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 7*p - 4. Let w be f(-5). Suppose 2*i = -0*i, 2*i + w = 3*q. Let x = -88 + 93. Calculate the remainder when x is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 11:49 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1*((-13563)\/9 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 7 = -m, -3*l - 5 = l + m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**4 - v**2 - 305*v + 1. Let f(b) = -2*b**4 + b**2 - b - 1. Let m(n) = f(n) + o(n). Find the second derivative of m(u) wrt u.\nAnswer: 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10324 and 928.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3599 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58190831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 8:37 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9*y**2 + 24*y + 638. Calculate h(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 6*v**2 - v**2)*(-v + 2*v - 3*v) + (-4*v**3 - 5*v + 5*v)*(-1 + 1 - 1).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + g**2 - 5*g + 5. Let c be 10\/8 + (-20)\/80. Let d be y(c). Suppose -10 = -5*f + b + 18, 4*f - 2*b - 26 = 0. Solve d = -2*r + f*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 19106102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 12 = -4*u, d + d + 12 = -4*u. Let l be d + 2\/((-2)\/(-3)). Let c(n) = 6*n - 2. Let f be c(2). Solve 5*q = -l*w + 15, 4 = -2*q + w + f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w + 2. Let d = w - 0. Suppose -5*c + d = -4*c. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607125833 to the power of 1\/4, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*m = 86 - 416, -4*n + 2*m + 710 = 0. Suppose 0 = 4*o - 3*o - 25. What is the highest common divisor of n and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880) + 2*sqrt(880))\/(sqrt(5)*-1*4) + -1 + -5*sqrt(891)*-1.\nAnswer: -1 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-70))\/((144\/(-1200))\/(3\/(-5))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 6. Let r be x(13). Suppose -3*m + r = -217. Let i = -3 + m. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 5*b - 2. Let w be q(-3). Suppose 3*k = 5*s + 23, 4*k - 5*k = -4*s - 17. Let h be s\/14 + (-46)\/(-14). Solve -t + w = -h*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -728*j**4 - 1831.\nAnswer: -2912*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v - 197 - 60*v + 197 + 29*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - (-361)\/2. Suppose 274 - 2 = 3*j - 2*z, 3*z = 4*j - 361. Let b = w - j. Is b a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - c + 6, 11 = 4*d - d - 4*c. Suppose -2*y - 5*t = -t - 10, 0 = d*y - t - 14. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198374748 divided by 3.\nAnswer: 66124916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -7 - 17. Suppose 2 - m = -l. Suppose -49 = -l*k + 27. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 228.722728 and -0.049211.\nAnswer: 228.673517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 2)*(18 + (-1800)\/81).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 15*n - 2996 = 0. Suppose -n = -12*c + 1. Solve -2*a + c*a - 28 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 108*s + 100*s + 94 = 0, -4*s = -35*o - 149 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -217*t**6 + 39*t**2 + 3*t.\nAnswer: -26040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/15*(-78768)\/(-153160)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhyh when four letters picked without replacement from {h: 2, y: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + -213321301?\nAnswer: -213321211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**8\/7 - 5*o**4\/3 + 23*o. What is the third derivative of f(s) wrt s?\nAnswer: -960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -67\/262?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v = 5*z - 9, -4*v - 2*z + 14 = 0. Suppose v*k = 4*o + 18, 0*o + 5*k = 2*o + 29. Let r be 1 + o + (-5)\/(-10). Is -1 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**3 - 11*b**2 - 42. Let f(p) = 3*p**3 + 7*p**2 + 28. Determine 8*f(o) + 5*i(o).\nAnswer: -o**3 + o**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 19 + 9 - 2*c - 39 + 7.\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -49*z**2 + 9460*z + 13. Let k(p) = 11*p**2 - 2365*p - 3. Calculate -3*j(y) - 13*k(y).\nAnswer: 4*y**2 + 2365*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-856)\/2247*(-14)\/8)\/((-87)\/27)?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**6*d*d**29*(d*d**(3\/17)\/d)\/d**28)**(1\/12) assuming d is positive.\nAnswer: d**(13\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/90*(-1)\/(-3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2010 divided by -30\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3)\/q*q)\/(q*q\/(q\/(q*q**(1\/2)))))\/(q*(q\/q**(1\/4))\/q)**(7\/2)*(q\/q**(-2\/5))\/q**(1\/7)*q\/(q*q\/(q**(1\/9)\/q))*q**3 assuming q is positive.\nAnswer: q**(-7787\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -15*a + 2173*a**2 + 2192*a**2 - 15 - 4350*a**2. What is the units digit of p(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 1764 = 9*z. What is the highest common factor of 28 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1086\/(-4887))\/(2*2\/(-99)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 8:35 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cue when three letters picked without replacement from ecumereemeedmecceccr.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 17*t - 24. What is b(-13)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5089 - -133?\nAnswer: 5222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 - -135.99999907. What is o rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*y**2 + 5*y**3 - 6*y**3 - 2*y**4 - 12*y - 105*y + 216*y to the form w*y + z*y**2 + p*y**4 + m + c*y**3 and give w.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 + 2*w**3 - 2*w**4 + (-1 + 1 - 2*w)*(0*w**2 + 0*w**2 + w**3) + w**4 - 4*w**4 + w**4 + 4*w**4 + w**4 - 3*w**4 - 102*w**4 + 50*w**4 + 9*w**4.\nAnswer: -47*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, o: 1, f: 1}. What is prob of picking 1 p and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0)*(20625\/50)\/(-55)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 191 in 0, 2\/3, 1\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = 2*q - 13*p - 389, -1039 = -5*q + 2*p. What is the greatest common divisor of q and 20705?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10 - 4 - ((-11)\/((-55)\/(-8190)) - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-523)\/5 - (-38)\/(-95). Let o = 114 + w. Suppose 9 = c + 3. What is the highest common divisor of c and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 73, 3, -11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832)*-2*-4 - (-5 + 1*sqrt(832) - sqrt(832))) + 5)**2 - (((sqrt(65)*2)\/sqrt(5) - (sqrt(13) + sqrt(468)*-4)) + 0).\nAnswer: 1255*sqrt(13) + 53348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 7:11 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 821640 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3545\/15 + -5)*-3. Let l = -399 - x. Let z = 446 - l. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -5*w**4\/12 - 2*w**3 - 3*w**2 - 3. Let n be t(-2). Solve 10*f - n*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by -22\nAnswer: 56\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**2 - 5*a + 6. Let y be z(4). Suppose 0 = 134758*g - 134752*g - 198. What is the highest common factor of g and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61029*d**4 - 124771*d**2.\nAnswer: -1464696*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4398596 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15538.6 - 15539. What is the closest to -3 in -5, o, 10\/39?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -3 + 5 - (546 - 11). Let n = m + 595. Solve -67*u + 8 = -n*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 20*f**2 + 75*f - 160. What is u(11)?\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 + 2.1. What is the third biggest value in j, 2\/21, 2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(147)*-2) + 2 + sqrt(6)\/(2*sqrt(200)))**2.\nAnswer: 301*sqrt(3)\/5 + 273403\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 12*h**2 - 9*h - 12. Let y(x) = -x**3 + 11*x**2 - 11*x - 14. What is 7*q(d) - 6*y(d)?\nAnswer: 6*d**3 + 18*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 2:53 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (94 - 209 + 10584*w + 115)*(w**2 + 0 + 0) in the form b*w**3 + g*w**2 + y*w + p and give b.\nAnswer: 10584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 68*t**2 + 1076*t - 368. Calculate v(43).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51804 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33774 and 78.\nAnswer: 33774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 + 131. Let h(m) = 62*m - 2. Let v be h(2). Suppose 27*n = d*n + v. What is the remainder when n is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 87823\nAnswer: -439115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*y - 5 = 0. Let w be 1*-10 + -3 + y. What are the prime factors of (-160)\/w + (-2)\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0*l + 3*l)*(-2375 + l**2 + 2414 + 0*l**2) + l - 2*l - 52*l**3 + 64*l**3.\nAnswer: 14*l**3 + 77*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260, -181, -76, 61, 236, 455, 724?\nAnswer: 1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p. Let q(l) = 2516933*l. Calculate i(q(s)).\nAnswer: -25169330*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23868, 47702, 71534, 95364, 119192?\nAnswer: 143018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + 2 - (sqrt(3) + -2 + 0 + sqrt(3)))**2 + -1*((-3*(sqrt(363) - (1 + sqrt(363))))**2 - sqrt(363)).\nAnswer: 19 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.221 + 4.251. Let q = j - 4.3. Let y = q + 0.269983. What is y rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 9339?\nAnswer: -9337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*q = -68*q + 344. Suppose q = -14*x - 83. Let r be 15\/(-4) + (-15)\/(-20). Which is the fourth biggest value? (a) r (b) -2 (c) 3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 0*h + 1603*h**3 - 1670*h**3.\nAnswer: -67*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*b = -762*b - 2602*b - 49638 - 221302 for b.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523703298.\nAnswer: 2, 3, 87283883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-222)\/(-24))\/(2\/32). Suppose -3*z = z - p. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**6\/6 - n**5\/4 - 5*n**4\/4 + 25*n**3\/6 - 5*n**2 - n + 21. Factor m(i).\nAnswer: 5*(i - 1)**3*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/1128 and -145\/48.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -3. Let i = 7 - k. Suppose -17*j + 7*j = -60. Solve j*s - i*s = -20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 1389 + 770. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.932825nm?\nAnswer: 0.000000000932825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/6 - 5*p - 161\/6.\nAnswer: -(p + 7)*(p + 23)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 2. Let d(b) = -3*b - 223. What is -d(c) + 5*r(c)?\nAnswer: -2*c + 213","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.05 - 1.95. Which is the biggest value? (a) 5 (b) 0 (c) -2\/7 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5699536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*r = 508, -h + 6*h + 4*r - 644 = 0. Calculate the common denominator of 3\/26 and (3 - (-510)\/h) + -4.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-200))\/(((-42)\/(-225))\/((-39)\/(-195)))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 6:14 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*h - 20, 0 = -0*h + 3*h + 12. Suppose n = -4*g + 2*f + 26, 4*f + 25 = -f. Solve -3*l + 11 = b, -5*b - 5 = l - g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + -5*(2*sqrt(357)\/sqrt(7))\/((-2*sqrt(9))\/sqrt(3)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 144db + 8b3?\nAnswer: 14db0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 8:28 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 7. Suppose -4*n = 16, 0 = 2*a - n - x*n - 32. What is the smallest common multiple of a and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*v, 99*n + 13*v = 96*n + 11*v - 10*v - 60 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 0*v + 0*v**4 - 2*v**3 + 2\/7*v**7 + 0*v**5 - 10 + 0*v**6 + 0*v**2. What is the third derivative of m(o) wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, c: 2, n: 4, q: 4, i: 1, b: 3}. Give prob of picking 2 c and 2 q.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10529979 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (3 + -4)*1*5. Suppose -i*l + 1 = -3*h, -6*h = l - 4*h - 14. Factor 3*v**3 - 27*v**3 - 3*v**2 + 34*v**2 + l*v**5 - 12*v + v**2.\nAnswer: 4*v*(v - 1)**3*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -826596, -4, -60 in descending order.\nAnswer: -4, -60, -826596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28714845*i*j + 17350265*i wrt j?\nAnswer: 28714845*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 710340784 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 + f + 16. Let i be h(9). Let r = i + -177. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(648))\/((sqrt(108)\/sqrt(4))\/sqrt(3)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3773.9 - 3774. What is the biggest value in 813, n, -3?\nAnswer: 813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1392 divide 1182475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.4625 * -702.2.\nAnswer: 3133.5675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129726*f**3*w - 2*f**2*w - 2427*f**2 + f wrt f.\nAnswer: -778356*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15737 is divided by 2214.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 6:27 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2942508 divided by 219?\nAnswer: 980836\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(22) + (2*sqrt(2662) - sqrt(22)))\/(sqrt(88)\/sqrt(2)) + -1)*-1 + 2)*1.\nAnswer: -66*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 3. Suppose -20*s = -16*s + 16. Let a be t(s). Sort 2, a, 20.\nAnswer: a, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 - 1 = 0. Let j(f) = -2*f**2 + 2*f**2 - 5*f**q. Let s(y) = -19395 + 5*y - 19394 + 38789. Calculate j(s(w)).\nAnswer: -125*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*3\/(-2)*7\/483?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5794 + 5826. Solve 44*r = o*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/32 and 83\/48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -11*t**2. Let n(i) = 520*i + 79. What is n(v(l))?\nAnswer: -5720*l**2 + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 5*n + 12*m, -4*n - m = 116 - 122 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -270671.\nAnswer: -4\/270671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18585293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000040041 to six dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2479747 to the power of 1\/2, to the nearest integer?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-112)\/(-70))\/(-4))\/((-9)\/(-10))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1429*p + 10. Let z(k) = -952*k - 7. What is 5*t(f) + 7*z(f)?\nAnswer: 481*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 6*j + 0*j)*((-2 - 2 + 3)*(-4 + 6 + 3) - 1 + 0 + 0).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8 + -2.8. Suppose -3*p + 2*t - 10 = 0, 3*p = 2*t + 3*t - 25. Which is the closest to p? (a) 0.7 (b) m (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15602 + -15607. Let i(j) = -5. Let h(w) = -w - 4. Give t*i(o) + 6*h(o).\nAnswer: -6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 10 = 2*r - 3*q, -q = 2*r + 29. Let v be -8 + -3 + (0 - 1). Let j = v - r. Solve 0 = 2*b - j*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from vvcctnts.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-1)\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*v - 205 = 53 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(38\/(-3))*-24)\/5.\nAnswer: -72\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 38 = -2*b. Suppose 3*o + 3*m = 8*m + 396, -3*o = b*m - 372. Let a = -63 + o. Is a a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a + 6. Let b be m(4). Let v = b - -5. Calculate the lowest common multiple of 8 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8253, 8327, 8409, 8493, 8573, 8643?\n\"Answer: -t**3 + 10*t**2 + 51*t + 8193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44265538 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*o + 29*o - 5*o)*(2 + 0 + 1 + (-2 - 1 + 19)*(-4 + 0 + 2)) to a*o + p and give a.\nAnswer: -1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 119*w**2 + 1. What is the least common multiple of 106 and n(-2)?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/20*1*-8889. Let w(d) = 12*d**2 + 4*d + 90. Let m be w(8). Let h = f + m. What is the common denominator of -93\/56 and h?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30495*t**2*u - u + 7670 with respect to t.\nAnswer: -60990*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 101?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 1696 = 12*f. Let p be (180\/f)\/(-9)*42\/(-35). Are p and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9855 by 365.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c. Let g(v) be the third derivative of 0 + 3*v**2 + 0*v**3 + 0*v - 1\/12*v**4. Calculate s(g(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*c - 5. Let w(i) = -i. Let g(y) = 6*y**2. Let z(b) = c*g(b) - w(b). Determine z(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.5, -22, 0.2?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**4 - 3*r - 32*r**4 + 2 - 4*r**2 - 9*r**4 + 2*r**3 + 68*r**4 + 7*r**2 as s*r**2 + g + t*r**3 + c*r + u*r**4 and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5705 and 4286737.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 19*q - 29. Let v be i(17). Suppose -19*n + 23*n = -v*d + 36325, -5*n - 14563 = -2*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 1:26 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {h: 2, x: 7, r: 3, m: 4, d: 1}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3))**(1\/10)*(m*m**1)**9)\/(m*m*m**(-2)*m*m*m**(-3\/5)*(m*(m**(-1\/3)*m)\/m)**(-48)) assuming m is positive.\nAnswer: m**(146\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-20)*15\/(-6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, s: 10, e: 3}. What is prob of sequence lssl?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 0.071\nAnswer: 0.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**10*t)\/(t*t\/((t*t**(-16\/7)*t*t)\/t)) assuming t is positive.\nAnswer: t**(61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 703580528 to the nearest integer?\nAnswer: 26525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 214050 (base 7) to base 16\nAnswer: 922e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2424898 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Add together 62911 and -3.\nAnswer: 62908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((17 + -12)*(-20)\/(2000\/1410))\/((-3)\/(-4))\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3978 and 7514?\nAnswer: 67626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16, 11, 3, -0.1, -0.6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8282012 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -49\/302828 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (84*t**2 + 1343*t**2 + 964*t**2)*(-24*t + 24*t - 4*t**2) to q*t + s*t**3 + l*t**2 + v + c*t**4 and give c.\nAnswer: -9564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyqihhhhihyhhzzi. What is prob of sequence hziq?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5445.108 to the nearest integer.\nAnswer: -5445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009786126 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.19*7168263\nAnswer: -1361969.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5712 and -0.3.\nAnswer: -0.77136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23196, 80634, 176366, 310392, 482712?\n\"Answer: 19147*n**2 - 3*n + 4052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112333081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8 - 23 + 278*l + 20. Is t(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19452 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/361? (a) 1 (b) -2\/5 (c) -1\/4 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a - 6*a + 120*a**2 - 13*a + 24*a - 2*a.\nAnswer: 120*a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 21 + -9 + -21 - 21\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15980432674630 - -0.01\nAnswer: 15980432674630.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2188526562 to the power of 1\/2, to the nearest integer?\nAnswer: 46782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/4080877?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5170 by -1034.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 7. Let z be m(-10). Suppose 0 = z*o - 56 - 181. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -11*q**3 - 13*q**2 + 3*q - 4. Let p be z(-4). What is the highest common divisor of p and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -290 - -698. Suppose 3*p = 54 + i. What is the highest common divisor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccrcckktc. What is prob of picking 3 c?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*a - 28225 + 24248 = 0 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + o - 5. Suppose 9*b - 38 = -2. Suppose b*t = 11*t - 42. Let n(y) = y**2 - y + 6. Determine t*w(m) + 5*n(m).\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-4125)\/500)\/(726\/220)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305\/3521 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 18645.\nAnswer: 18645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471*o - 472*o + 290 = 0. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135 divided by -135\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178621.\nAnswer: 178621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 2\/73 (c) 0.3 (d) -2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-2\/7)*k))\/k)**(-1\/12)\/((k*k**(-3\/8)\/k)\/(k\/k**(-2\/13))) assuming k is positive.\nAnswer: k**(3755\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11101332 - -3?\nAnswer: -11101323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvovvvvvvvv. Give prob of picking 3 v.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 167*m**6 + m**5 + 6633*m**3 + 20672476*m**2 wrt m?\nAnswer: 20040*m**3 + 60*m**2 + 39798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139189929?\nAnswer: 3, 829, 55967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1103401094*b**4 - 422401921?\nAnswer: -4413604376*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -2\/21, -3\/353, 0, -0.1, 71?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5\/7 - 608*m**4\/7 - 48558*m**3\/7 - 354608*m**2\/7 - 43808*m = 0.\nAnswer: -148, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.7797*2.\nAnswer: 15.5594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) -614589 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + r. Let z(m) = -m + 43. Let w be z(0). Let u = w + -42. Let i be h(u). Which is the biggest value? (a) -11 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620215.\nAnswer: 5, 163, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222 - 222 - 11*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -47.35*-60\nAnswer: 2841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 229, 8, -3, 5 in ascending order.\nAnswer: -3, 1, 5, 8, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82\/3379 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*s**2 - s - s**2 + s + (-1 + 3 - 3)*(s**2 + 4*s**2 - 4*s**2) + 0*s**2 + 0*s**2 - 2*s**2 - s**2 + s**2 - s**2 - 125*s**2 + 120*s**2 - s + 0*s.\nAnswer: -12*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpmpppm. What is prob of sequence mp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -0.4 (c) -282 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156 + -118. Let o(l) be the first derivative of 13*l**2\/2 + 1. What is the remainder when v is divided by o(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -380, 0.14, 14\/67, -1?\nAnswer: -380","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 43*r**2 - 9*r + 6. Let s(q) = 43*q**2 - 10*q + 7. Let y(u) = -6*l(u) + 5*s(u). Let d be y(2). Round d to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6916 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 444?\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -6, 4, 303\/4, -1, -3\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000157722 rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*b + 13*b**3 - 19 - 415*b - 46*b**3.\nAnswer: -33*b**3 - 8*b - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -36*116\/27405 + (-4)\/30 + 0\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290318\/(-8155) - (-6)\/10.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2744.5 - 2745.5. Which is the smallest value? (a) q (b) 2\/71 (c) -2 (d) -1\/9 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3798348 to the nearest one thousand.\nAnswer: -3798000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -554748 divided by 92458?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 18 + 18 + 5*k.\nAnswer: 5*k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1914 - 0.0086. Let z = 0.12 - -4.88. Let d = z - 3. Which is the second biggest value? (a) d (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y = 66*y - 7*y - 2000. Suppose 2*i = -i + 45. Calculate the highest common factor of y and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 273318049 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 16 = -15*m + 17*m, 0 = 4*n - 3*m + 24. Which is smaller: -33\/986 or n?\nAnswer: -33\/986","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -16*a**2. Let j(b) = 581*b + 1 - 582*b - 3 + 2. Give j(m(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 8. Is 15 a factor of 4\/10*h\/((-3)\/220)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 6*y - 8*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2\/3, -0.7, 1\/7, 0.03, -0.02?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 1 - 3)*(-11 - 1 - 12)*((-3*j + 5*j + 3*j)*(1 + 3 - 2) + (-6*j + 3*j + j)*(0 - 3 + 5)).\nAnswer: -1152*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1500 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30125 - -10?\nAnswer: -30115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7984520 is divided by 266?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*n + 13 = 5*t, 2*t + 5*n = 30. Suppose -t*a + 8*a = 0. Suppose a = 3*j - 463 - 794. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337 (base 9) to base 8.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -3*g**7\/70 - g**5\/12 - 3*g**2. What is the third derivative of v(z) wrt z?\nAnswer: -216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234100?\nAnswer: 2, 5, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + -11)*(-158)\/4. Let m = 175 + n. List the prime factors of m.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, 4, -3 in ascending order.\nAnswer: -3, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10361?\nAnswer: 13, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpiiffaizfzzoz. What is prob of picking 2 i, 1 p, and 1 f?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022.26625ns to days.\nAnswer: 0.000000000023405859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -309, -1324, -3009, -5364, -8389?\n\"Answer: -335*s**2 - 10*s + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - x + 2*x - 3*x + 2*x - x + (1 + 3 - 5)*(3*x - 2*x + 0*x) + 2*x - 3*x + 0*x + 3 - x - 3.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19576331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86*n - 13*n - 3*n)*(0 + 0 - n)*(1 - 2 + 0).\nAnswer: 70*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273642?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/6160 and 103\/31360.\nAnswer: 344960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**28)\/r)**(-34)\/(r\/(r\/((r**38\/r*r)\/r))*r**(-38)*r) assuming r is positive.\nAnswer: r**(-952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 12:45 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 5*q**2 - 14*q - 53. Suppose f + 2 = -0. Calculate the remainder when 1*(0 + f) - -77 is divided by d(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i - 17 = -33*i - 5*n, -5*n = -5*i - 45. What is the biggest value in -0.3, -5, -0.77, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pttp when four letters picked without replacement from {d: 1, v: 5, t: 4, p: 2, i: 2}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1890709 and 3383374.\nAnswer: 64284106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w + 2*k = 61, -6594*k + 6598*k + 127 = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -2, -72?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b833 - 4?\nAnswer: b82e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 7. Suppose -5*p = -4*u + 4, 0 = -4*u + p + 3*p + 4. Calculate the remainder when u is divided by (0 - i)\/((-2)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (57 - (-4 - -2))\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 1. Let k(m) = -6*m - 2. Let n(x) = 2*j(x) - k(x). Let q(t) be the first derivative of -40 + 0*t**2 - 2\/3*t**3 + 0*t. Calculate q(n(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1402.045549 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1021 divide 869123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**3\/8 - 299019*z**2\/8 - 3661065*z\/2 + 5828004 = 0.\nAnswer: -99624, -52, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.3 + -51146.\nAnswer: -51166.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 856933, 856887, 856841, 856795?\nAnswer: 856749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*u - 43*u = -396915. What is the lowest common multiple of 8 and u?\nAnswer: 22520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/90*(5 + -8). Which is the second biggest value? (a) -2 (b) -3 (c) u (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42857417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72793343 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -180464321.99613 + 180465117. Let w = 795 - m. Round w to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/((-2)\/2). Let m(v) = -v. Let h be m(-3). Let z be 86\/(-30) + 12\/(-90). Which is the closest to f? (a) z (b) h (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -6 + 1\/3*p**3 + 0*p**2 - 6*p. What is the derivative of i(t) wrt t?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.4. Let l = -0.1 - i. Let t = 27557 + -27557.1. Which is the nearest to l? (a) t (b) -1\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 18*v - 1225. Let p = v - 485\/2. What is the nearest to 135 in -2\/5, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1983296 (base 11) to base 9.\nAnswer: -6254025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -42*i - 459. Give c(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -260306*v**4 - 195252*v**2.\nAnswer: -6247344*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2 + (0 - 2 + 3)*(0 + 5 - 4) - 5 + 1 + 2)*(-24*a**3 + 4*a**3 - 10*a**3) + 4*a**3 - a**3 - 4*a**3 as o + i*a**2 + f*a**3 + t*a and give f.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7028, 14053, 21060, 28043, 34996, 41913, 48788, 55615?\nAnswer: 62388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m**3 - 3*m - 5. Let o(i) = -5 + 1 + 6*i**3 + i - 3*i + i**3. Let b(x) = -3*o(x) + 2*q(x). Differentiate b(h) with respect to h.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*w + 4*m + 56 = -134*w, 0 = -5*w - 2*m + 200. What is the highest common factor of 22 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14621 + 1274*i - 14621)*(-6*i + 0 + 4*i - 2).\nAnswer: -2548*i**2 - 2548*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 5*l. Let k be y(-5). Suppose p = -k - 1. Let q(w) = -24*w + 1. Let s be q(p). Solve -2*c - 3*c = s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1491 divided by -2\nAnswer: 1491\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(2)*-4)\/(sqrt(21)\/(-2*sqrt(7))).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 1233474242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/7)\/(1314\/(-4599))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 884 divided by 52\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 14) to base 11.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 134?\nAnswer: -5\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 203\/2 - 102. Let d = -3.4 + 3.5. Which is the nearest to k? (a) -3 (b) d (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4562765 by -6.\nAnswer: -4562765\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 4:26 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1023*q**2. Let x(m) = -18*m + 14. Let g(b) = -13*b + 10. Let o(v) = 7*g(v) - 5*x(v). What is l(o(s))?\nAnswer: -1023*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 r, and 1 x when three letters picked without replacement from xrlxrllxlrlxrxrlrqz.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 488835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10485697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/11*5\/(-30)*-3*2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 10 = -5*f, 4*v - 4*f + 1 = 9*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9*r + 5*r - 6*r)*((3 + 2 - 3)*(2*r + 2 - 2) + 1 + 2*r - 1 + 0 + 0 + r - 12 + 12 + 3*r) - 18*r**2 - 12*r**2 - 6*r**2)*(-5 + 1 + 2).\nAnswer: -88*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0058 times 588\nAnswer: -3.4104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, i: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v**2 - 2*v**2 - 30*v**2 + (0*v + 0*v + 2*v**2)*(5 - 2 - 1))*(2 - 5 - 2) in the form f + j*v + a*v**2 and give a.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 17. Let n = t - 7. Let j(o) = 4 - n - 3 + 6*o. Let c(i) = -i**2. Give j(c(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(4)\/sqrt(32)) - (((sqrt(143)*2)\/sqrt(11) - sqrt(13)) + -3))**2.\nAnswer: 18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3218 = 3*u + f - 186, 2*u - 2*f - 2280 = 0. What is the remainder when u is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1571, -6675, -15177, -27071, -42351?\nAnswer: -61011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1685 and -262 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.062767 to three decimal places.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-304)\/(-9))\/(-8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1283, 1294, 1309, 1328, 1351?\nAnswer: 1378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/30)\/((-14)\/(-35)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.465501 millilitres in litres?\nAnswer: 0.007465501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*v - 8*v**2 + 8 + 3*v + 17*v**2 wrt v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -604.66 + 765. Let x = 448 + -289. Let r = x - i. Round r to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 4. Let w(f) = f - 2. What is -5*w(l) - 2*y(l)?\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 4, y: 4, x: 2, e: 7}. What is prob of picking 1 m, 1 e, and 2 o?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.9 + 16. What is the closest to -1\/3 in d, -1, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 9*x**2 + 9*x - 17. Let i(q) = -5*q**2 - 4*q + 8. Let c(d) = 7*i(d) + 4*n(d). Let k be c(-9). What is the smallest value in -2, 0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f + 58. Let j be q(-14). Solve 3*t + 0*p = -3*p + 21, 10 = j*t + p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 = 0, 3*r - 20 - 1 = -q. Solve r = -2*x - 0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 95\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 3*i**4\/4 + 3*i**2 - 4*i. Let n(s) = 5*s**3 + s**2 + 2*s + 37. Let m be n(7). Let z(k) = -m + 1815 - k. Determine z(v(p)).\nAnswer: -9*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - u - 3*r - 511 = 0, 4*r - 228 = -2*u. Calculate the lowest common multiple of 22 and u.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from arornrnrlrnpnno?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 3*v + 6. Let a be ((4\/8)\/(18 - 19))\/(-1)*-8. Let b(k) = -7 + 3*k**2 + 4*k - k**2 - 8*k. Calculate a*b(f) - 5*o(f).\nAnswer: 2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/18))**8\/((n\/n**(-2\/37)*n*n)\/n**(-5\/8)))**16 assuming n is positive.\nAnswer: n**(-21970\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-104)*(-1 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7 - 7 - 4*x. Let q(y) be the third derivative of -y**5\/15 + 74*y**2. What is a(q(o))?\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3426911 is divided by 292?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -15*m**2 + 6*m - 2. Let t(b) = -2*b - 2. Determine 3*t(f) + u(f).\nAnswer: -15*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345*d - 190 = 185 + 315. Which is the closest to -2\/5? (a) 3 (b) 739 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o = 3*a + 7*o + 435, -a = -2*o - 27 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147298 = 3*c - 5*v, 8*c + 5*v - 98157 = 6*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -22*d + 440. Let x be s(16). What is the highest common divisor of 319 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2*n + 4. Calculate the remainder when ((-2)\/8)\/(n\/172) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15)\/((-104)\/2080)*2\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5451479149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18891*v**4 - 36*v**3 + 2104734 wrt v?\nAnswer: 75564*v**3 - 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 20. Let i = 44 + -89\/2. Are r and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -33. Let f(h) = -h**2 - 6*h - 2. Let x be f(-4). Suppose 2 = 4*g - x. Solve n - r = g*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 + 3*o**4 + 0*o**4 + (2*o**2 + o**2 - 2*o**2)*(2*o**2 + 0*o + 0*o) + (-109*o**2 - 78*o**4 + 109*o**2)*(-3 + 2 + 0).\nAnswer: 82*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c**4*o**2 - 27849*c**4 - c*o**2 - 2*c*o + c - 2065*o**2 - 2*o - 2538 wrt c?\nAnswer: -72*c**2*o**2 - 334188*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188159, -188150, -188135, -188114, -188087, -188054, -188015?\nAnswer: -187970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {x: 1, l: 3, i: 2, e: 5, n: 5}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -234420677?\nAnswer: 234420701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -195*s - 32. What are the prime factors of o(-3)?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 3*z = -42, 976 = -5*t - z + 975 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4925 and -0.08?\nAnswer: -0.0394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -1 + 4. Let l(g) = g**3 - g**2 - g + 3. Let j be l(0). What is the second derivative of 2*p**j - 5*p**3 + 4*p**3 - 4*p**k - p wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149*-290.1.\nAnswer: -43224.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.3 - -3.7. What is the second smallest value in 0, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.2 - 8. Let w = 15.2 + -14. Let s = w - l. Which is the closest to 0.1? (a) s (b) -0.3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941227289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14 + 4)*35\/(-10). Let u be 2\/(-20) - g\/(-70). Let y be (u\/(-4)*-2)\/(-2). What is the second biggest value in 0.2, y, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**4\/22 + 16*o**3\/11 + 135*o**2\/11 + 1011. What is d in y(d) = 0?\nAnswer: -15, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 107*a**2*w**2 - a*c*w**3 - 3*a*c - 5*c*w**3 - 4*w**3 + 7*w wrt a.\nAnswer: 214*a*w**2 - c*w**3 - 3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 826808 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 8*c + 9*c = -3, -2*f - 2*c = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2*-14*(-1)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1586, 3\/16, 0.2 in descending order.\nAnswer: 0.2, 3\/16, -0.1586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**6\/100 + 61*d**5\/300 + 7*d**4\/15 - 11*d**3\/30 - 16*d**2 - 15*d. Solve w(o) = 0 for o.\nAnswer: -1, 1\/6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533 (base 9) to base 10.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -10. Suppose 22 = 2*d + 2*n - 7*n, 3*d - 2*n - 11 = q. Let s be (3 + 0 + d)\/(-5). Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2831, -4, -5, -166\/5, 2\/5, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 16\/33?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8105.128ml in litres?\nAnswer: 8.105128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c + 4 + c - c + 2*c. Determine z(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -162.6 - 0.4. Let i = f + 155.3. Let k = -8 - i. Which is the third smallest value? (a) -0.1 (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 183*c - 785707 - 757006 + 119705. What is the greatest common factor of 32 and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106029102 divided by -579394?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (306\/17)\/((-54)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + x - 4 = -x, -2*m + 3*x - 6 = 0. Let v be (-240)\/(-836) - 10\/55. Is m at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1866*b + 758 = -1487*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 51 + 21 + 23 - 2*b. Let s be l(-3). Calculate the remainder when 125 is divided by (-4)\/(s - -8) + 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1991444 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n\/n**3)\/n*n)\/n))\/(n*n**(-2\/3)*n)*((n**(1\/4)\/n)\/n)\/(n**3*n))\/(((n*n\/(n\/n**(-2\/3)))\/n**(-4))\/(n\/n**3*n\/n**(1\/5))) assuming n is positive.\nAnswer: n**(-517\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 377633539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*j + 30*j + 48. Let a = j - 19. Solve -a*z + z = -20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11\/59 + -3167\/17936. Let v = 17659\/2736 - j. What is the common denominator of 89\/42 and v?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 - 3*b**3 - 10*b**3)*(2*b - 3*b - b) + 0*b**4 - b**4 + 2*b**4 - 4*b**4 + 3*b**4 - b**4.\nAnswer: 31*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 16. Which is the smallest value? (a) q (b) 3\/4 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 91*c - 14. Let w(k) = 2*k. What is v(w(j))?\nAnswer: 182*j - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6912, -13904, -20896?\n\"Answer: -6992*r + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.1 (b) -60 (c) -1 (d) 2\/13 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 3*z**2 - 2*z + 4. Let m be o(3). Let n be (m + 1 - 0)*-4. Let j = -20 - -30. Solve 5*w - j - 16 = -4*i, 4*w = n*i - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 - u**2 + 2. List the prime factors of t(2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5 - 11 = 0. Let d be 1770\/48 - q\/(-24). Suppose 15 = 2*l - d. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 4*i - 4. What are the prime factors of l(5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815*v + 7357 = -44803 for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 7:28 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 1 - (-45 - (12 + -30) - -130)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c6 - 4?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -26*x**2 + 16*x + 10. Let c(s) = -5*s**2 + 3*s + 2. Give -11*c(a) + 2*m(a).\nAnswer: 3*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from {z: 1, s: 2, b: 4, a: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10000 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -2 + 13 + (-2 - 5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3778.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*y**3 - 3)*(2 - 2 + 2*y) + 16*y**3 - 16*y**3 + 248*y**4 - 2*y**2 + y**4 + 2*y**2.\nAnswer: 243*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3464742 rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1229523 - 9836167\/8. Factor 1\/8*c**3 - 8 + 10*c - k*c**2.\nAnswer: (c - 8)**2*(c - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzlxluxujzxl. What is prob of picking 2 x, 1 j, and 1 u?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*q - 12, 2 - 4 = 2*s - 3*q. Let j be 40\/(-15)*(-6)\/s. Which is the third smallest value? (a) -0.07 (b) 4\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(110) - 1*sqrt(110)*1)\/((5*-1*sqrt(120))\/(sqrt(144)\/(sqrt(48)\/sqrt(4)) + sqrt(12))).\nAnswer: -14*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2490*v - 7396*v + 574*v + 124*v to k + q*v and give q.\nAnswer: -9188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/2300 and 67\/46348128.\nAnswer: 1158703200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 16528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -397400 and -397400 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1832 is divided by 272?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409852128.\nAnswer: 2, 3, 7, 29, 21031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, -0.38, 4\/5, -20\/7?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1540976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 437*q + 51094. What is p(-117)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -73, -75, -77?\n\"Answer: -2*p - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*t + s + 407, -3*s = -5*t + 1020. Suppose 0 = 3*y - 0*y - 5*n - t, 2*y = 3*n + 135. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 686137812 - 686137812 - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-720))\/((-1)\/(-1))*4.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -12*c**5 - 1558352*c**4 - 22852976*c**3 + 35318912*c**2 + 33241088*c = 0.\nAnswer: -129848, -16, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 35*c**2 + c - 2. Let s(q) = -3*q - 5. Let o be s(-2). Let p be x(o). Let l = 3 + p. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-281 + 17*a + 281)*((-2*a - 2 + 2)*(0*a + 4*a - 2*a)*(-2*a - a + 5*a)*(7 - 14 - 14 + (-3 + 2 + 0)*(-4 - 1 + 3)) - 2*a**3 + 2*a**3 - a**3).\nAnswer: 2567*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 329435473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -61, 0 in ascending order.\nAnswer: -61, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6601537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -0.18, 2\/27, -0.5, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1346\/91 + -1678\/13. Let m = d + 114. Let a be -2 - (16\/(-9) - 0). What is the second smallest value in -0.5, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 675486, 675949, 676412, 676875?\n\"Answer: 463*g + 675023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 11*n**4\/12 + 2*n**3\/3 - 2*n**2 - 5*n. Is g(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((0 + 1)\/2). Let x be (-2)\/((-2)\/3) - (-10 - 11). Let h be 1 + 8 - (40\/4 + -6). Solve -h*q + q + o*n - x = 0, 0 = q + 4*n + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12001100103 - 10?\nAnswer: 12001100043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 6:16 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 25, -1, -5 in descending order.\nAnswer: 109, 25, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 887 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhkhhhhhhhh. Give prob of sequence hk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -445, -942, -1633, -2524?\nAnswer: -3621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1195*s + 5779*s - 14 + 16 to the form y + k*s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5419704 is divided by 577.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*l - 601 = 338, 4*n + 5*l - 1250 = 0. Let x = n + -258. What is the remainder when x is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-1\/3)))**(-17)\/((k*k*k**(-1))\/k*k*k*k)**(-1\/85) assuming k is positive.\nAnswer: k**(-1436\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 4*b + 6*b)*(-2 + b + 2 + (-2 + 2 + 1)*(0 + b + 0) + 3*b + 0*b - b).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -5*x - 1\/6*x**3 + 1\/20*x**5 - 7\/12*x**4 + 0 + 3*x**2. Let h be j(7). Sort -5, 1, h.\nAnswer: -5, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -33\/2. Sort 5, z, 0.2, 0.\nAnswer: 0, 0.2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -525135 + 13?\nAnswer: -525122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-10) + 10695\/(-50). Let y = -24 - m. Does 26 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 11191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 9. Let z = r - -9. Let k(n) = -n**3 + n**2 - n - 3. Let m be k(0). Sort z, 0.5, m.\nAnswer: m, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 - -111.95. Let x = 21.9 - g. Which is the nearest to 0.2? (a) 2 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 10*k**2 + 11*k. Let x be b(-11). Let s(n) = x*n - 7*n - 7*n + 15*n + 4. Let t(w) = w + 3. What is 4*s(u) - 5*t(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 6*p + 4. Let g be z(-6). Suppose -19 + g = -3*b. Suppose -3*c + 4*x + 49 = 60, 4*x - 5 = 5*c. Solve 0*q + b*q = 5*a, -4 = c*a - q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.4, 1\/12, 8114, -2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 28*r**2 - 40*r - 314. Let t be f(-29). Sort -4, -1587, t, 2 in ascending order.\nAnswer: -1587, -4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158088 is divided by 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11140 - 1?\nAnswer: 11135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.025 + 0.387. Let b = -1.9 - -2.054. Let k = b + a. Round k to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*c = 24, 4*p + 2*c - 14 = -0*p. Let o = 15 - 10. Calculate the remainder when p is divided by 0\/1 + 6 - o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*q = 6, 2 = 2*m - 3*q + 3. Suppose 4*l - 20 = -0. Sort 4, m, l in decreasing order.\nAnswer: l, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 768659?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3034036 take away 2.27215?\nAnswer: 3034033.72785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + 13707?\nAnswer: 13683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 12:56 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 3:07 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2 + u**2 + 3*u**2 + 2*u**2. Let o(a) = 48*a. What is f(o(i))?\nAnswer: 4608*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7809093 millennia in centuries?\nAnswer: 7.809093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 586, -5, 3, 1 in increasing order.\nAnswer: -16, -5, 1, 3, 586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 20)*(36 + 26*t - 36) to the form w + m*t and give m.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -22062 at most -22351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 5*l**2 + 15*l + 15. What is the remainder when 617 is divided by c(6)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 8) to base 7\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 1. Let j(w) = w**3 - w**2 - 2*w + 6. Let f(i) = i**3 - 2*i**2 + 4*i - 4. Let a(z) = f(z) + j(z). Calculate -a(d) - g(d).\nAnswer: -d**3 + 3*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.32.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 593, 13, 4\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*b**3*x + 3230*b**3*z + b**2*x*z - 142*b**2*z - 2*b*x*z + 2*b*x - 3*x*z - 6*x wrt b?\nAnswer: -462*x + 19380*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, v: 3, s: 1, h: 2, e: 3, u: 1}. What is prob of picking 1 u, 1 c, and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(2)*-3)**2 + sqrt(24)\/(sqrt(72)\/sqrt(6)).\nAnswer: sqrt(2) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2444 and 3.\nAnswer: 7332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1303811 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - p**2 + p. Suppose d - 2*d = 0. Suppose 5*o + 15 = 0, d*o - 1 = 5*g - 3*o. What is the units digit of s(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25525582 to the nearest integer?\nAnswer: 5052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 473*h**3 + 191*h**2*n - h*n + 5631*h + 2*n wrt h.\nAnswer: 2838*h + 382*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - sqrt(88)*2 - -1*sqrt(352))\/(sqrt(1331) + sqrt(1331) + (sqrt(1331) - (sqrt(1331) - -2*sqrt(1331) - sqrt(1331))*-5)).\nAnswer: sqrt(2)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 3779.\nAnswer: 5\/3779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (sqrt(1700) + sqrt(1700) + -1)**2) + 1*sqrt(272).\nAnswer: -6801 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4513 + 1709*r**2 - 12886*r**2 - 4513.\nAnswer: -11177*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*y - 31 = -x, 18 = -x + 4*y. Solve -x*o + 0*o + 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32914 (base 14) in base 15?\nAnswer: -2647d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047637069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*y - 797 = t, 0 = 4*t - y + 799. Let a = t + 305. Calculate the greatest common factor of 42 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11157738, -11157736, -11157724, -11157696, -11157646?\nAnswer: -11157568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*0*3\/51.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21419 (base 10) in base 9?\nAnswer: -32338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**8\/336 + r**7\/210 - r**6\/40 - r**5\/12 - r**4\/12 + 274*r**2. Factor b(m).\nAnswer: m*(m - 2)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/13)\/(x\/x**(-2\/7)))**(-1))**(5\/4))**(-3\/10) assuming x is positive.\nAnswer: x**(-165\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (288\/8)\/(-12)*(-2)\/27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 20778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.117 + 2.717. Let w = -1.2 - -1. Which is the biggest value? (a) p (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/2268*1\/1*6.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - (1 - (13 + -15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(324) + sqrt(324)*-2).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j - 2*k + 10, 0 = -4*j + k - 5. Let l(i) = 2*i**2 + j + 4 - 4. Let s(b) = b. Determine s(l(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, 4, 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 46, 3, -40?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/9))**(-30)\/(x**14*x*(x\/(x\/(x*x**(-15)\/x))*x)\/x*x) assuming x is positive.\nAnswer: x**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g - 2. Let a be z(-4). Let k be (1 + 2 + -2)*3. Suppose k*n = m - 0*n - 43, -4*m + 4*n + 132 = 0. What is the highest common factor of a and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -357*b**4 + 1080*b**2 wrt b?\nAnswer: -8568*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 3\/7, 34, 0.169?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1721090 and 157\/224490?\nAnswer: 5163270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 143609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-70)*(16 + (-600)\/36) + -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2517?\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49152 - 209*b**3 + 47616*b - b**4 - 10764*b**2 - 268*b**3 + 105*b**3 - 2*b**4 = 0 for b.\nAnswer: -64, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*o**4)*(18698 - 2773 - 28084 - 44324) to t*o**4 + n*o + l*o**2 + k + a*o**3 and give t.\nAnswer: -112966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3163656nm in meters?\nAnswer: 0.0000000003163656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 6*j**2 + 4*j + 3. Let x be (2\/2)\/((-5)\/10). What are the prime factors of h(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2)*1*2 + -4*sqrt(250)\/sqrt(5).\nAnswer: -18*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 9.5. Let k = x + -45. Let g = k + 35.02. What is g rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0*d*d**(-2)*d*d)\/(d*d*(d*d*d*d\/(d**(-1\/3)*d)*d*d*d*d)\/d)**(-2\/101))\/(((d\/d**(2\/5))\/d**(-1\/7))\/(d*d\/d**0)**(-19)) assuming d is positive.\nAnswer: d**(-398513\/10605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a5b01 - 8b?\nAnswer: 3a5a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 41 = -222*p + 217*p, 32*p - 2*n = 63*p + 223 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11220, -22436, -33652, -44868, -56084, -67300?\nAnswer: -78516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 5*v - 3*m - 440, 5*m - 176 = -2*v. Suppose v*b - 93*b + 240 = 0. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*68.12\nAnswer: 34.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -127770757.103 and 143?\nAnswer: 127770900.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 3. What is j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010766971 rounded to seven decimal places?\nAnswer: -0.0001077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddqmnmmmdqna. Give prob of sequence md.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 2*q = 1944. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -9*r**5\/4 - 1041*r**4\/2 - 4755*r**3\/4 + 6171*r**2\/2 - 1374*r = 0.\nAnswer: -229, -4, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = x + 15, 4*a - 26 = -2*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 675612 a multiple of 383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + s - 5*s)*(-6*s + 8*s + 3*s) - s**2 + 1 - 1 + (-s + 9*s - 2*s)*(18 + 31*s - 18).\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 873443, 873437, 873433, 873431, 873431?\n\"Answer: b**2 - 9*b + 873451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by 3.\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -27*n + 20*n. Sort -32, 5, n.\nAnswer: -32, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -634*s - 1900. Let l be b(-3). Let i(r) = r**3 - 3*r**2 + 6*r - 8. Calculate i(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -207 - -199 - ((9 + -6 - 3) + -67)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -p - 2*r - 7, p - 4*r = 19. Let g = p + -5. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 0.06, -1\/2, 1\/8, -0.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 757*c + 104 - 44 - 42 - 757*c + 4*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6) + (-64)\/(-12). Let o(y) = y - 1. Let j(n) = -5*n + 7. Let x(u) = -j(u) - 4*o(u). What is x(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o - 2. Let y = 389 - 470. Let d = y - -123. What is the lowest common multiple of s(4) and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-15\/2)*((a**(-12)\/a)\/a)\/a assuming a is positive.\nAnswer: a**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2 + 35 - 107*i + i - 14. Let y be u(-7). Suppose 3*b - 726 = y. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -115\/3. Suppose 0 = -3*k + y + 12, 4*y = 4*k - 7 - 9. What is the closest to -1 in l, k, 12?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -605499 times -4?\nAnswer: 2421996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = -4*p. Let f = p - -3. What is the smallest value in 2, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**3 - 588508344365 + 588508344365 - 5*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14301, 28602, 42903, 57204?\n\"Answer: 14301*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0431 + -0.0041. Let z = -0.539 + k. Put -5, z, -0.089 in decreasing order.\nAnswer: -0.089, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**2 + 180*d - 183 = 0.\nAnswer: -61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*5*1\/(-2). Suppose -z + b*z = 132. Calculate the remainder when z is divided by (-3)\/(-39) - 3262\/(-182).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 693, 2766, 6221, 11058?\n\"Answer: 691*p**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 235*x + 29 = 234*x, 5*c + 5*x + 185 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3.1, -2\/47, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 3*n**2 + n - 2. Let t(a) = a**3 - 4*a**2 - 3*a - 3. Suppose -m + 8 = 3. Let q be t(m). Suppose 8 + q = 5*o. Calculate z(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -840*j**5 + 18133*j**4 - 4*j**2 + 10*j - 246426?\nAnswer: -50400*j**2 + 435192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9803 (base 15) to base 12\nAnswer: 16756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**4\/2 - 2*s + 49. Let p(f) be the first derivative of x(f). Let y(b) = 3 - 5*b**2 - 3. Calculate p(y(t)).\nAnswer: -150*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1*-2)\/(32\/57) and (-426)\/220 + (-24)\/(-30)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 17. Let v be s(13). Let q be 3\/4*-2*2. Let y be 4\/q*6\/(-4). Solve 5*a + y = v*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**8*d)\/(d*d**(-4\/5)))**(8\/7)*(d\/(d\/d**(-3\/5))*(d\/(d**4\/d))\/d)\/(d**(2\/5)\/((d**0*d)\/d)) assuming d is positive.\nAnswer: d**(212\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194 - 186. Suppose -3*o - p = -4*g, -g = -5*g + 2*o + 12. Solve 5 = -g*d + 3*a, -4*d - 4*a + 3 = 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 696, 666, 636, 606?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 952606, 952599, 952580, 952543, 952482, 952391, 952264, 952095?\nAnswer: 951878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12030 and -0.25.\nAnswer: 3007.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 168 = -18*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24.63, -0.2, 0, 817, -3\/7?\nAnswer: -24.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572*j**3 - 9 + 3 + 6.\nAnswer: 572*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/9 - 1240660*i\/9 + 19850816\/9 = 0. Calculate i.\nAnswer: -1240676, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*k**2 - 20*k + 0.\nAnswer: -k*(k + 80)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 2 + 6*z**2 - 3. Let m be s(2). Suppose 0 = -c - 6 + m. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -103*b**3 + b**2\/2 + 7. Let f be w(1). Calculate the common denominator of 149\/12 and f\/198 + (-2)\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 43\/6 (b) 4 (c) 40.0231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 1. Let g(p) = -p**2 - 5*p - 7. Determine -g(a) + 6*w(a).\nAnswer: a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1551 is divided by ((-397024)\/(-722) - -36) + 3\/((-114)\/(-4))?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, t: 6, b: 4}. What is prob of sequence bb?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 12 = -4*k. Let f(q) be the second derivative of 5\/6*q**3 - 1\/12*q**4 + 0 + 25*q - 3\/2*q**2. Calculate f(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/m*m*m*m**(-10))**(-19\/3) assuming m is positive.\nAnswer: m**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-16)*a*a**(-15)*a)**4 assuming a is positive.\nAnswer: a**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 2*t - 7. Let g be p(3). Suppose 0 = -3*h + 3, 5*l - 73 = -h + 3*h. Calculate the greatest common divisor of g and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/((-1)\/1*-1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 156864339059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1471236910 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: Suppose 0 = -3*r - 2*x + 15, 5*r + x + x = 25. Solve -13 = -o + r*n, -3*o + 4*n = -0*n - 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186280578?\nAnswer: 2, 3, 11, 79, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(12)\/(-2*sqrt(400)) + -5.\nAnswer: -10 - sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14993*x = 5*h - 14997*x + 7, 5*h + 5*x + 25 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1495, -5901, -13241, -23515, -36723, -52865?\nAnswer: -71941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j - 1999 + 885 = 887 for j.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(143)*-4)\/(sqrt(99)\/(sqrt(9) + (sqrt(9) - sqrt(441)) + sqrt(9))*-3) + 5.\nAnswer: 5 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 49546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 16. Let j be u(0). Let r(v) = -v - 59. Let o be r(j). Which is greater: -72 or o?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07+4.68\nAnswer: 4.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 8:47 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4708320, 9416640, 14124960, 18833280, 23541600?\nAnswer: 28249920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 38*a - 231 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*q + o - 5 = -532*q, -2*q - 5*o + 8 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 374*d - 9386. What is p(25)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 7*v - 1. Let q be a(-5). Suppose -q*c = -8*c - 120. What is the remainder when 58 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14388578341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*x + 9*x = -7467. Which is smaller: x or -127?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*g)*(6 + 4 - 3).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 264, 386, 544, 756, 1040, 1414, 1896, 2504?\n\"Answer: 3*t**3 + 101*t + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -215 greater than or equal to -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 89329726083 and -0.1.\nAnswer: 89329726082.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111108057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1872)*-3*6)**2 - (1*(sqrt(130) + sqrt(130) + -6*(sqrt(130) + (sqrt(130) - sqrt(130)*1) + sqrt(130)))\/sqrt(10))**2.\nAnswer: 605228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9)*a)\/a)\/(a\/(a\/(a\/(a\/(a**(2\/3)*a)))))*a\/(a\/(a\/(a*a\/a**4*a)))*a**9 assuming a is positive.\nAnswer: a**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*b - 14. Let s = 37 - b. What is the highest common factor of s and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2. Let b(n) be the second derivative of 13*n**7\/2520 + n**4\/12 - 7*n - 8. Let f(y) be the third derivative of b(y). Give d(f(p)).\nAnswer: -338*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**13\/a)\/a*a)**20*(a\/(a\/(a*a**(-25))))**(-1\/21) assuming a is positive.\nAnswer: a**(1968\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from jojjkkhjjhjbjkkkk.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (-17 - -2) + (6 - (-3 - -5))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4461017 (base 8) in base 16?\nAnswer: -12620f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2 = -2*c, -5*c = -6*c + 5*a - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2662.9 - 2663.1. Put -3, -711, i, 0.4 in decreasing order.\nAnswer: 0.4, i, -3, -711","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*i**3 - 14 + 835*i - 468*i - 369*i to l*i + n*i**3 + v + o*i**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20310 - 5095. What is the thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 43, -46\/3, -2\/7, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43ab18 (base 14) to base 11.\nAnswer: -1329160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 - 3*n**2 - n + 15. Let r(x) = x**3 - 2*x**2 + 7. Let m(w) = 2*i(w) - 5*r(w). Let u be (-26)\/6 - (-1)\/3. Calculate m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6830 = 236*t + 1400*t + 240778 for t.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 24. Let b be n(26). Let h(a) = a**3 - 5*a**2 - 7*a + 7. Let u be h(6). Let g be (1 - 2)*u*-5. Sort g, b, -3 in descending order.\nAnswer: g, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(125) - (sqrt(5) + 1)*2) + -4.\nAnswer: -6 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - (-42)\/(3 - 10))*0. Solve m = 6*n - 6 - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 = -51*x - 61*x + 14*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/15)\/((-4)\/30). Suppose 24 = 21*h - 18. Suppose q*k - 232000 = h*k. What is k rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18227 * -0.018\nAnswer: -328.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-1 - -3)) + (26 - 30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3389461 and 5.\nAnswer: -16947305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 150*y - 179. Give q(0).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 2*x**4 + 8*x**2 + 4*x**2 - 11*x**2 to the form c*x**3 + n*x + s*x**4 + f*x**2 + j and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03754 to three decimal places.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 2)**2 + -1 + (0 + sqrt(2))*4.\nAnswer: 5 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23302220330 - 3?\nAnswer: -23302220333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.89 - 0.9. Let j = i - -0.11. Is 6 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -322 - -320. Let y = 27 + 16. Let c = y - 40. Sort c, -12, -1\/2, a in ascending order.\nAnswer: -12, a, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5187297 hours?\nAnswer: 1867426920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.042 - 66.958. Let q = -94.15 + 28.52. Let s = q - k. What is s rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + (sqrt(3200)*1 - sqrt(3200))**2 + sqrt(3200) + sqrt(3200) + (sqrt(3200)*-2*5 + sqrt(3200) - sqrt(3200)))*3.\nAnswer: -960*sqrt(2) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1008 and 71.84.\nAnswer: -72414.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -22 - -57 - 1\/1. Which is greater: p or -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37626.4 and -98?\nAnswer: 3687387.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 0.4, 129\/7 in descending order.\nAnswer: 129\/7, 5, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**5 + 3*k**5 + 0*k**5 + (3*k**5 + 3*k**5 - 7*k**5)*(2 + 2 - 2) + (k + 3 + 3*k - 2)*(0*k**3 - 10*k**3 - k**3)*(-2 - 2*k + 2).\nAnswer: 85*k**5 + 22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 484 and 95590.\nAnswer: 191180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -5*b - 5*m + 59, 4*m - 68 = -2*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3 + 19*c**2 - 105*c - 2475 = 0. What is c?\nAnswer: -15, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -23, -1, 2, 0, -4 in increasing order.\nAnswer: -23, -4, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 54. Let v(a) = a + 56. Let f(n) = -4*h(n) - 3*v(n). Let b be f(-8). Solve -2*d = 4*i - 0*i + 10, 2*i = -b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.0367065232 and -0.453.\nAnswer: 2.5837065232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23740992 and 1079136.\nAnswer: 23740992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(1\/2)*o)\/o)**1\/(o**(-2\/5))**48)**(-12) assuming o is positive.\nAnswer: o**(-1242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 0.5 (c) 1\/6 (d) 5\/2 (e) -48\/5 (f) -12\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 1. Let u(w) = -7*w + 3. Give 9*h(i) + 4*u(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -7, -4, -3, 4 in ascending order.\nAnswer: -7, -4, -3, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 + 5 + -5 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 3:15 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44.9 - 45. Suppose -107 = 4*s + 9. Let h = s - -23. Which is the second biggest value? (a) 3 (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -242 < 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -19. Let l(z) = 14 - j - 3*z. Let r(g) = 3*g. What is l(r(d))?\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1311, -1\/8, -0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p. Let w(s) = s + 5. Let t be w(p). Let x = t - 6. Is -1 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*d = 26*k - 218, 2*k + 3 = -d + 3*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6552 divided by -4\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/16 and 93\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*m + 937, 6*f - 1428 = 3*f - 3*m. List the prime factors of f.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 7*p**2 + 6*p + 4. Let v be s(-6). What is the units digit of ((-46)\/v)\/(5\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oounmouonnmn. What is prob of sequence ooun?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 minus -4.4?\nAnswer: 4.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11410 + 442120?\nAnswer: 1004030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(9 - 9 - 2*v)*(-47847 + 308*v + 47847) in the form c + m*v**2 + w*v and give m.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4 = 20. Suppose -l - 5*s = 11, -2*l - 2*s = -17 - 1. Let r = d - l. Calculate the highest common divisor of 50 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**2 - 3*s + 3. Let k(q) = -q**2 - q - 1. Let i(t) = 7*t**2 + 6*t + 4. Let r(m) = 2*i(m) + 10*k(m). Give 4*n(f) + 6*r(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e423 + 111?\nAnswer: -e312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w. Let c(j) = 528*j**2 - 109*j. Let t(r) = -264*r**2 + 44*r. Let o(q) = 2*c(q) + 5*t(q). What is f(o(d))?\nAnswer: 1584*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 5*l**2 + 8*l + 5. Let v be (8\/(-12))\/((-2)\/(-18)). Let q be z(v). Let p = q + 12. Solve p*b = b + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332748 divided by 166374\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 5*x + 3*x + (-6 + 3 + 4)*(0*x + 0*x - x) + 26*x - 11*x + 10*x.\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 257055439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123409434 is divided by 4936377.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 438?\nAnswer: -17.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215180 and 4930.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -30. Suppose 0 = 17*o - 11*o - i. Sort -13, -4, o, -0.2 in decreasing order.\nAnswer: o, -0.2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.64 - -0.37. What is d rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**2 - 7*j + 4. Let f be i(4). Suppose d = -3*d + f. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:58 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -4 (c) -1 (d) -6 (e) 0.11 (f) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 2*b - 5*x, -3*x + 77 = -4*b + 4. Sort 0, -2, b in descending order.\nAnswer: 0, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279 and 66681.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 + -47. Let a = -46 + n. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106292352.\nAnswer: 2, 11, 71429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.01 - 4. Let g = -0.04 + l. Let r = g - -5.03. Sort 0.1, 1, r in ascending order.\nAnswer: 0.1, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 (base 9) in base 14?\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203583600 by -5089590.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20056 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*1*(-5)\/3. Suppose -40 + 195 = r*d. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4890662 divided by 119.\nAnswer: 41098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 21*d**3 + 2. Let y(k) = -22*k**3 + k**2 - k - 3. Give 3*g(r) + 2*y(r).\nAnswer: 19*r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoiiibidi. Give prob of sequence uio.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 799 - -a2?\nAnswer: 86b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16356 - 113251?\nAnswer: -74673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2)\/((c\/(c\/c**(14\/5)))\/c) assuming c is positive.\nAnswer: c**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from ffufuff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -37*m + 20*m + 16*m + 8. Calculate x(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58936 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 w, and 1 v when four letters picked without replacement from wjobqbvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -5*x**2\/2 - 6*x - 8. Let m be c(-8). Solve m - 14 = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + sqrt(85) + (4*(2*sqrt(85) - sqrt(85)) - sqrt(85)) + sqrt(85))*-5)\/(sqrt(30)\/(-2*sqrt(24)\/sqrt(4))).\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqxqqqqq. Give prob of picking 1 x and 2 q.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**2 + 7*p - 10. Suppose 3380 = 27*u + 3326. What is s(u)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 16\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 0*o + 0*o + (o + 3*o - 3*o)*(6500 - 932 + 6488) to the form r*o + z and give r.\nAnswer: 12054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j + 3*o = 6, -4*j - o + 2 = 0. Suppose -5*s + 8*s + 261 = j. Let m = 126 + s. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x + 27, -3*g + x = 5*x. Which is the nearest to 0.2? (a) g (b) 13 (c) 2\/15 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 261. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 521 = -5*r. Suppose -2*y + 5*x + 38 = x, -5*x = -2*y + 40. Calculate the smallest common multiple of y and r.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 766957 by 262.\nAnswer: 766957\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a8 (base 12) in base 3?\nAnswer: 10100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 8\/11*x - 6\/11 - 2\/11*x**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(156)\/(sqrt(12) + (sqrt(12) - sqrt(48)\/sqrt(4))*1))**2 + 1).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1737 and 772.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -29.27 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2212671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsj when three letters picked without replacement from {n: 4, z: 1, j: 3, s: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13923 and 714.\nAnswer: 27846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10122000222122 (base 3) to base 13\nAnswer: 52740b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21851.\nAnswer: 21851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2630325 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 58763446 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 6*m**2 - m + 7. What is the tens digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*-3.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22841 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/60*108*3\/((18\/(-4))\/(-3)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.1243.\nAnswer: -0.06215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/23*w - 2\/23*w**2 + 24\/23.\nAnswer: -2*(w - 4)*(w + 3)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58262646 divided by 39\nAnswer: -1493914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 7:33 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -41 + -2 + (-2 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.143? (a) -11 (b) -0.6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 2, y: 2, l: 2, k: 1}. Give prob of sequence ggk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6373932 by -3394.\nAnswer: -1878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47873 is divided by 158?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 - (2870219\/16482)\/11. Let j = 40556 + -111407326\/2747. Let s = j - u. What is the common denominator of -71\/30 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a = 20*a - 758. Let x = a + 1423. What are the prime factors of x?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -199504667.3 to the nearest 10000.\nAnswer: -199500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**5\/9 - 82*w**4\/9 + 716*w**3\/9 - 556*w**2\/9 - 718*w\/9 + 638\/9 = 0?\nAnswer: -1, 1, 11, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 105?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1354 and 5.\nAnswer: 0.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804735 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: What is the thousands digit of 6272292815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Let p = 35433 + -35430. Which is the nearest to o? (a) p (b) 0.04 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 14 = 3*m, -9*m = -5*m + 2*z + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703677 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2 + 245956*m - 15123588484 = 0. What is m?\nAnswer: 122978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-26))\/(189\/2457)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, -5, 5 in increasing order.\nAnswer: -5, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from izii?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 - 64*m\/7 - 136\/7.\nAnswer: 2*(m - 34)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n**2 - 6*n + 20. Let k(q) = 3*q**2 - 2*q + 7. Suppose 5*y = -36 - 34. Give y*k(v) + 5*h(v).\nAnswer: -2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 900 and 22986195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -0.12356.\nAnswer: 4.87644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/60 - -1) + (-176)\/((-23788160)\/19402).\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 2167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8348226 divided by 2782742\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 2206753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 9) to base 7.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g**2 - 46*g + 15. What is t(-6)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/91 - (0 - 48\/26). Let q = 3 + s. Solve 0 = 2*w + 5*y - 30, y = q*w - y - 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 12. Let l = -3 - r. Suppose -2*n = x - 2*x + l, -13 = 3*n - 4*x. Solve -q = -2*q + n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -222, -3.5, 3, -5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 34*a - 1. Determine b(-2).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16*1)\/(-9 + 13 + -5). Calculate the highest common factor of w and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = w + 5*z, 0 = -5*w + 3*z - z + 420. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 4:43 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10*(-9)\/(27\/5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -290d2?\nAnswer: 290cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-three quarters of a kilogram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65828454959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 56. Suppose j = -p*j + 800000. What is j rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -26. Suppose 3*g - 248 = -0*u - u, -k*g + u + 333 = 0. Suppose 2*r = 5*f - 2*r - 415, f = r + g. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 12, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 4. Suppose w*n = 3*b - 1408, -b + 2*n = -3*b + 948. Suppose -7*x + 15*x - b = 0. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**4\/24 - w**3\/6 - 2*w**2. Let r be z(3). Suppose -2*c = 2*a - 14, 2*c = 4*a - r*a - 2. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 62c5 + 4?\nAnswer: 62c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5114231360 + 18*x**3 - 4*x**3 - 5114231360 + 3*x**3 - 2*x**3.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*r**(-9)*r)\/r)\/r**5*(r*r**(1\/5))**(-13))**(-2\/19))**28 assuming r is positive.\nAnswer: r**(7728\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96.28 - -6.28. What is the fourth biggest value in 4\/7, 0.5, 3\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5 = 0, 0 = 3*b + 2*o - o + 4. Let l(a) = -3*a**3 + 4 + a - 3 - 11*a**3 - a**2. What is the units digit of l(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71975385.\nAnswer: 3, 5, 59239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/8*(-12)\/(-3). Let y(w) = 0*w + f*w - 5 + 12 - w. Let o = 10 - 14. Calculate y(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.66 + 0.34. Which is the nearest to 0.2? (a) p (b) 2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-1) - 11\/((-110)\/(-30)). Let t = 4 - -8. Suppose 6 = 3*g - t. Solve -3*y = -g*y + 12, x = 2*u - y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*k**2 + 59*k**2 + 5 - k**3 + 176*k**2.\nAnswer: -k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 807, 1673, 2845, 4323?\nAnswer: 6107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 32*h = -230972 - 157274. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/5)\/d**(-5)*(d**2\/d)**(1\/25) assuming d is positive.\nAnswer: d**(116\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -9*s + 980. Let w = s + 308. Is 19 a factor of (-2)\/(-14) - (-10624)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0 = 2*p - 6, -4*l = 2*p - 8. Let q = 7 - 7. Let d(n) = -30 + 34 + n**3 - n + q*n**3. Give d(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 363462734?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-12) - (-9)\/12. Let a be (0 - -4)*(0 + r - -1). Solve -2*i + 3*u = -15, -4*u + 10 = -a*i + 34 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69280 divided by 8660.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 4:47 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/72 + (-4)\/(-18). Suppose 3*y + 4 = 5*y - 2*m, 2*y - 3*m = q. Solve 2*z = 4*w + 10, 2*w - y*w - 4 = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**4 + 45*a**3 - 60*a**2 - 100*a = 0.\nAnswer: -10, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.39*-0.128\nAnswer: 0.04992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**3\/3 + 12461*o**2\/3 - 1114672*o\/3 + 25394116\/3 = 0.\nAnswer: 46, 12001\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfqj when four letters picked without replacement from jwfqwwjqw?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 4*z - 6. Calculate the remainder when 71 is divided by c(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*j = 51*j - 14. Let t be (j - -4) + (-3 - 2\/2). Solve 7 = -5*v - 2*z, 3*v + z = t*v + 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1631bc + 20?\nAnswer: -16319c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 + 147. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-714)\/(-30) + 3\/15. What is the units digit of ((-12)\/k)\/((-2)\/172)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1675, 3341, 5001, 6649, 8279, 9885, 11461?\nAnswer: 13001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3548 and 2656.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 2, 1, -1, -133068, -5 in decreasing order.\nAnswer: 5, 2, 1, -1, -4, -5, -133068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - 4 + 2 + 4 - i to q*i**2 + x*i + d*i**3 + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -471, -902, -1505?\nAnswer: -2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**3\/3 - 7*y**2\/2 + 3*y + 3. Let i be w(7). Suppose -2*g - i*g + 34 = 4*r, 4*r = -g + 10. Solve 0 = 2*s - g*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 5*f**8\/7 - f**5\/60 + 2*f**3\/3 - 5*f**2 + 7. What is the third derivative of q(y) wrt y?\nAnswer: 14400*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 6*d + 247. Let s be j(-13). Suppose 5 = f - s. Solve 0 = -5*n - 2*m - 13, n + 2*m + 4 = -f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 223 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -7. Let w be (-3)\/4 - 3\/l. Suppose -4*a - 2*n = -0 + 6, w = -2*a - 4*n + 12. What is the third smallest value in a, -3\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 6)*(2 + 0 + 0 + (1 - 1 - 1)*(2 - 6 + 2))*(18*t - 18*t + 7*t**3).\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -1) + -8 + -10 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-98)\/105)\/(-7)*-6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33\/(-2)*41\/3. Let z = g + 202. What is the common denominator of (84\/(-8))\/(135\/(-195)) and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*f + 4*x, -4*x - 2 = -f + 12. Let i be f*5*(-1)\/(-10). What are the prime factors of (-116 + 2 - i)*-1?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9246182ml to litres.\nAnswer: 0.0009246182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007912829913 to six dps.\nAnswer: -0.007913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of (-213 - 29)*28\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -11*d - 44. Let m be a(-4). Solve m = -22*k + 17*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 344, 309, 274, 239?\n\"Answer: -35*d + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 s when three letters picked without replacement from ykosoayusooayy?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 - 1\/(-1 - 7\/(-6))) + 211. Calculate the greatest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18358*q**3 + 3*q + 406 wrt q.\nAnswer: -110148*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 150*-3\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6009087?\nAnswer: 3, 7, 53, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4480 = 3*u. Suppose -w + u = w. Does 10 divide 7\/(35\/w) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1665 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19355500403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b - 2*b**3 - 29*b + 320*b.\nAnswer: -2*b**3 + 322*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 944508881 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2 - 5*k**3 - k + 2*k**3 - 2*k**2 + 2*k**3 + 0*k**2. Let z be w(-2). Let b = 71 + z. What is b rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -150403*k + 150401*k - 2*m + 36, 2*k + 5*m = 105 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 10067 = -1579. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252494 is divided by 36042.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 + -100.6. Let w = -11 - m. Sort w, -3, -2.\nAnswer: -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + -c?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/9*3\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*j**2 - 5 + 9 - 4.\nAnswer: 239*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 147.95 * 4\nAnswer: 591.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 4. Let m(n) = -g*n - 2 - 3*n**2 + 5*n**2 + 2*n**2. Let c(a) = -13*a**2 + 16*a + 7. What is 2*c(u) + 7*m(u)?\nAnswer: 2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 + 3*c + 1. Give p(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Suppose 0 = -8*u + o*u + 45. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10304977 to the power of 1\/2, to the nearest integer?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 2647277.\nAnswer: -3\/2647277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r, 7*w - 5*r + 400 = 3*w. Let c = -81 - w. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12804 + 2415*w**3 + 295*w**2 - 215*w**4 - 2500*w**2 + 12805 + 5*w**5 - 25609 = 0. What is w?\nAnswer: 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**8\/1344 + g**7\/280 - g**5\/60 + 2*g**2 - 3*g. Let l(f) be the first derivative of h(f). Suppose l(s) = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*k + 79*k = 3492. Let d = -175 + k. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*i + 7, -3*y + 7 = i - 0*i. Suppose -d - 5 = -4*v - 25, -v - 60 = -y*d. Is d less than or equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-18)*-16*(-92)\/198352?\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 u when four letters picked without replacement from {k: 3, u: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3\/2, -4\/7, 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2. Let u(t) = t. Let v(o) = 2*o. Let c(z) = -9*u(z) + 4*v(z). What is w(c(g))?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 3:00 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 3*v**2 + 4*v**2)*(0 - 2 + 3) + (142788 - 142788 - 897*v)*(3*v - v - 4*v).\nAnswer: 1798*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 808 + -525. Suppose 3*q - 7*x = -3*x + 251, 0 = -4*q - 5*x + k. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-6))\/(-1 - 0). Let c(f) = -f**3 + f**2 + 2*f - 17. Let s(w) = -4*w**3 + 4*w**2 + 7*w - 51. Let k(o) = -7*c(o) + 2*s(o). Does 11 divide k(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 955*h - 960*h - 5*s - 50 = 0, 5*s + 10 = 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5101100 rounded to the nearest ten thousand?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 315710 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -247452 <= -247398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 164, 187, 210?\n\"Answer: 23*d + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4 + 4. Find the second derivative of -t - t**5 + x*t**5 + 3 - 3 wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(49\/(-7))\/(-84).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -13, 0, -3, -2\/225?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2293 and 461922557?\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from cycicmiiimc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14350202*a**2 - 2*a + 1744212?\nAnswer: 28700404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/7)\/u*u**(-13))**10)**(18\/11) assuming u is positive.\nAnswer: u**(-1620\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -110 - 88*d - 144 + 96 wrt d?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 0 + (-1 + 0 - -7). Solve 0 = -l*b - 0*b + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42b95 (base 12) to base 4\nAnswer: -111200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 125*p + 34. Let c(w) = -w**2 - 31*w - 8. Let b(u) = -17*c(u) - 4*v(u). Give b(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8ecb (base 15) to base 3\nAnswer: -1112121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 51251244413 and -12.2.\nAnswer: 51251244400.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5408*g - 9. Let b(l) = 8112*l + 15. What is -5*b(h) - 8*w(h)?\nAnswer: 2704*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - -1*(sqrt(17) + sqrt(68)\/sqrt(4))) + sqrt(425)*-2)**2 + -4)*-3.\nAnswer: -2487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -532624\/173 or -3078?\nAnswer: -532624\/173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2.13. Let r = t - 0.07. Suppose 0 = 5*o + 2*l - 2, 2*o + 107*l + 4 = 111*l. Which is the second smallest value? (a) o (b) 1\/3 (c) -1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v - v + 10*v + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-15)*10\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 420, 34, -1010, -3042, -6392, -11390, -18366?\nAnswer: -27650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11833 minus 923?\nAnswer: -12756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/10 of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4233*j - 1131*j + 1578*j - 2.\nAnswer: 4680*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*t + 134*t + 150 = 0. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 8:36 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6703bc + -1?\nAnswer: 6703bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*r = -2*d + 48, 2*d + 3*r = 4. Let i = d - 5. List the prime factors of (i\/6)\/(3\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -28\/11, -9, 2\/11, -2, 5 in descending order.\nAnswer: 5, 2\/11, -2, -28\/11, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-6)*216\/(-252)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10930789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 0*r + r)*(-18*r**2 - 7 + 4 + 36*r**2)*(2 + r - 2).\nAnswer: -54*r**4 + 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3686)\/2813)\/(126\/(-609))\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/2 + -10 + (-1 - -4). Let k(o) = -26*o - 106. What is the remainder when k(h) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmpppmfmmpmpf. Give prob of picking 3 m.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-5 - -14) + -9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 88 + 8 = -5*b, 5*b - 4*h = 77. Let o = -8 + b. Solve n + 11 = -o*l, -2*l - 2*l + 5*n = 32 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686*l**2 - 416*l**2 + 290*l**2.\nAnswer: -812*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001110110210 - 212?\nAnswer: -10001110111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1240.\nAnswer: 1\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4196?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, e: 1, o: 1, c: 2, m: 1}. What is prob of sequence mc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -168, -258, -392, -570, -792?\n\"Answer: -22*m**2 - 24*m - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0557 * -0.2382\nAnswer: 0.01326774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*m + 10*m - 36. Let t be (-1410)\/(-4) + m\/6. Calculate the highest common divisor of t and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 611*u - 5 - 1230*u + 621*u. Let n(v) = 2*v - 4. What is -3*n(h) + 4*z(h)?\nAnswer: 2*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*b**5 + 46*b**4 + 2*b**3 - 1146*b + 11?\nAnswer: 760*b**3 + 552*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1335937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 62?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 20. Suppose w - s = -4*g + g, 9 = 3*w + 5*g. Factor -6*f**4 + 3*f**4 - 8*f**w + f**3 + f**3.\nAnswer: -3*f**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -55, -22, 47, 164?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to -12\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -10101100011110110100111?\nAnswer: 10101100011110110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 112, 6, 113, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11578 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 1\/101, 12, -1\/2, -0.187, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 33356 (base 11) to base 5\nAnswer: 3021330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**4\/8 - t**3\/3 - 114*t**2. Let y be (0 + 2)\/((-2)\/2). Calculate z(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 8:52 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31676377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 955 + -1840. Calculate the remainder when 1*(t\/(-3))\/5 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 + -2.59. Let m = -829 - -829.3899. Let z = j + m. What is z rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 3*m**2 - 4*m - 1. Let x = -57 - -53. Determine u(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -10*d**3 + 4*d**2 + 5*d + 5. Let c(t) = -t**3 + t**2 + t + 1. Suppose 0 = 2*k + 2*u + 12, 2*k = 6*k + 5*u + 29. Calculate k*g(m) + 5*c(m).\nAnswer: 5*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9*q + 6*q - 4*q + 5*q + 3*q. Suppose -4*w + 5*t = -24, -3*w - t - 5 = -4*w. Let h(x) = 7*x. Determine w*h(a) - 2*v(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -17*c + 3. Calculate a(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 150321126\/(-4788) + 7 + (-2)\/7. Let k = 31389 + u. Find the common denominator of k and 17\/4.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -326892 at most as big as -326890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 3*i + 14. Suppose 6*w = -3*l + w + 184, -5*l + 5*w + 360 = 0. What is the highest common factor of i and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 7*d + 5. Calculate z(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 12 = 0, -66*m + 62*m + g + 900 = 0. Let s be (-56)\/m + 57\/4. Solve s*r - 12 = 18*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1) + 9 + 2 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -16, 1008, -1.\nAnswer: -16, -5, -1, 4, 1008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 292 = -2*q, 279 + 275 = -4*z + 2*q. Let y = z + 143. Put 14, 0.5, y in decreasing order.\nAnswer: 14, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 10. Suppose r = -g - k + 24, 0*g - 14 = -g + k. Suppose 34 = 5*z - 1. What is the remainder when g is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 51.\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.96 + -3. Let p = -42716 - -42729. Which is the smallest value? (a) 0.4 (b) o (c) p (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1171, -3, 24, 29, 11 in ascending order.\nAnswer: -1171, -3, 2, 11, 24, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let i = s - 0. Let h = 1.8 - i. What is the second smallest value in h, 4, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -21\/33027116?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25186, 25447, 25706, 25963, 26218?\n\"Answer: -k**2 + 264*k + 24923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**2 + 12*p. Is 32 a factor of w(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(4\/21))\/(i\/(i\/(i*i**(-18))*i)))\/(i**47*i\/((i*i**32)\/i)) assuming i is positive.\nAnswer: i**(59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-3) + (-463029)\/(-153)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7387*w = -7389*w + 18604. List the prime factors of w.\nAnswer: 2, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven tenths of a millennium?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (787 + 564 + 46)*(2 + 0 + 0)*(-3*j + 0*j + 2*j) in the form q*j + y and give q.\nAnswer: -2794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**2. Let w be (-7 + 1)\/((-10)\/1545). Let t(c) = w*c + 5*c**2 - 927*c. Calculate q(t(z)).\nAnswer: 150*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22755 and 7585?\nAnswer: 22755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 2*j + 312 = 222, -5*o + 24 = 2*j for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13677*r**3 + 13677*r**3 + 866*r**4 + 455*r wrt r.\nAnswer: 10392*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*g + 5, 0 = y + 2*g - 3*g + 8. Let s(a) = -a**3 + 4*a**2 + 3*a - 12. Let c be s(4). Sort c, y, -5 in ascending order.\nAnswer: -5, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -4 (c) -110 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*t + 102*t + 129*t - 313*t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/25, -0.5, -48\/29, -2, -5?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(12\/(-2)))\/((-54)\/(-729))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -18, 0.14, 1\/11, 1\/38.\nAnswer: -18, 1\/38, 1\/11, 0.14, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*s = 2*s - 18, 2*h = s - 3. Let v be 9\/h - 3\/(-6)*-2. Solve u + u = -v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v = 180. Suppose 0 = -0*n - 3*n + v. Calculate the greatest common divisor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llltllt. What is prob of picking 4 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + -31?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 81*j**2 - j + 104. Let m(h) = -h**3 - 27*h**2 - 34. Let c(w) = 7*m(w) + 2*p(w). Let y be c(-9). Let s(l) = -l - 16. Give s(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 1. Let v(r) = 3*r**3 + 2*r**2 - 14*r + 24. Let h(t) = f(t) + v(t). What is the tens digit of h(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7971 - 11139 = -21*m. Is 35 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 320684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 317*j**2 + 1300*j - 8. What is y(-4)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - 3*v + v + (-7 + 7 + 4*v)*(0 - 2 + 1))*(-9 + 369 - 124 + 281)*(-4 + 4 + 13*v) as r*v**2 + a + t*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1. Let a(y) = 4*y + 9. Let i(u) be the second derivative of 5*u**3\/6 - 7*u**2\/2 - 54*u. Let c be i(1). Determine c*a(m) + 18*o(m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 71*k + 627. Is j(29) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209 a factor of 51538346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2562 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -120, -1, 0, 6460 in descending order.\nAnswer: 6460, 0, -1, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2087 - -2093. Put q, -8, 8 in descending order.\nAnswer: 8, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 777*f + 409*f - 18976 = 0 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -7. Let h = 29 + o. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*z + 10, 5*q - 3*z = 7*q - 4. Let r be 5\/q - (-18)\/(-36). Suppose x + 2*x - r*k - 22 = 0, -4*x + 28 = -2*k. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 divided by 2?\nAnswer: -73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6996 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 200626 + -56053?\nAnswer: 111543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from dgkgoykgykkkggg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136\/170*(-100)\/(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - ((sqrt(84)*-3 - sqrt(84)) + sqrt(84))*2 - sqrt(84))\/((sqrt(1728)\/sqrt(4) - sqrt(12)) + sqrt(12)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/72 and 29\/19018016.\nAnswer: 171162144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -71749\/27 greater than or equal to 22\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 159. Suppose 3*v - j = 66. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*q + 10389 - 27633, 0 = -2*l - 5*q + 11485. Is l a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 25, -10*r = -8*r + m - 10*m + 41 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8 - 16*x**3 + 1 + 9*x**3 + 10*x**3 - 5*x**2. What is the hundreds digit of i(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, i: 6, v: 3, w: 2}. What is prob of sequence hwvv?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1555*l - 6065. Let t be z(4). What is the greatest common divisor of 105 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 317\/5. Let d = 57 - 53. What is the nearest to s in d, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 2\/3, -0.2, 1\/7, 223 in ascending order.\nAnswer: -0.2, 1\/7, 2\/3, 3\/2, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2185 and -5.\nAnswer: -2190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 173003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5*-120\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 269 + -1877\/7. Suppose 3*w + w = 12. What is the nearest to w in g, 5, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114033202 (base 5) in base 3?\nAnswer: -1000002220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 144*m**4 + 2*m**3 + 6*m**2 - 36*m + 291366 wrt m?\nAnswer: 576*m**3 + 6*m**2 + 12*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4\/9, 0, -103, 2\/3, -2\/7 in ascending order.\nAnswer: -103, -4\/9, -2\/7, 0, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 52 = -d - 4*w, -4*d - 2*w + 52 = 0. Solve -33 = -4*b - d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2672 - -5?\nAnswer: -2666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14243630654 + -4?\nAnswer: -14243630661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-8)*(-9 - 1). Solve 4*y - 5 + 18 = -5*q, 0 = -5*q + o*y + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479200?\nAnswer: 2, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -19*k + 15*k + 18, -5*k - 15 = 0. What is the nearest to -0.1 in -5\/3, v, -29.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1461 + -4?\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 14.3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -14 (c) -0.2 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 217201*n**2 - 194054*n?\nAnswer: 434402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -31*x**3. Let o be q(1). Let j = 25 + o. Let z be 2\/(-3) - (-1427996)\/j. What is z rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 6*m**2 - 9*m - 9. Let q = 61 + -66. Let l be c(q). What is the greatest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*i - 655766, -4*i - 4*s = -1151620 - 159912. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 11 (b) 2\/9 (c) -2\/15 (d) 82397\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:42 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/800 and 47\/7453680.\nAnswer: 74536800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -866*l**3 + 60*l**3 - 505*l**3 + 323*l**3.\nAnswer: -988*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -16. Factor -33*g + 6*g**2 - d + 30*g + 1 - 3*g**3.\nAnswer: -3*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28589966 divided by 1.\nAnswer: -28589966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101021012 (base 3) in base 14?\nAnswer: -235c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(432)\/sqrt(2))\/(sqrt(80)\/sqrt(40)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*o + 16, -5*o - 387 + 409 = 3*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 21, 50, 1, -179, -2 in decreasing order.\nAnswer: 50, 21, 3, 2, 1, -2, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.702694823 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h. Let p(v) = 1275*v**2 + 2*v - 5. Determine c(p(o)).\nAnswer: 2550*o**2 + 4*o - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 + -8)\/(-2))\/(1218\/28)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 1176?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13454 by 25.\nAnswer: -13454\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -20*x + 29. Let q(f) = -10*f + 15. Let g(r) = -6*m(r) + 13*q(r). Is g(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times 39.220388?\nAnswer: 627.526208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 2)*(-949946 - 13474*y + 949946) in the form l + w*y and give w.\nAnswer: -13474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -28*n**3 + 7*n**2 - 7. Let g(w) = -14*w**3 + 3*w**2 - 3. Give -2*c(f) + 5*g(f).\nAnswer: -14*f**3 + f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 2. Let l = 1 - 1. Suppose l = -r - 0*r + i. Let s(u) = -7*u + 8. Let c(g) = -g + 1. Calculate r*c(m) - s(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39235681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -10*x. Let n be (-2)\/(-1) + (0 - 3). What is the tens digit of z(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -268 + -439.773603\nAnswer: -707.773603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 6:28 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/143396 and 49\/10969794?\nAnswer: 21939588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1948 = 5*l - 4*r, -2*r = l - 472. Let s = l - 113. Calculate the common denominator of 61\/4 and (2 - 1) + s\/(-30).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8*h. Let q(o) be the first derivative of -54*o**2 + 29*o**2 + 29*o**2 - 1. Determine k(q(m)).\nAnswer: -64*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.20612726 to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -0.3 (c) -0.05 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Let t = -2.3 + c. Let v = -3\/2 + 11\/6. Sort -5, v, t.\nAnswer: -5, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, q: 15}. What is prob of sequence qqlq?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -570431 divided by 453?\nAnswer: -570431\/453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.3? (a) 4\/5 (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96030 and 41580.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0.972.\nAnswer: -3, 0.972, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*39\/(-27) - 8\/(-36). Suppose 0 = -z*t + t + 40. What is the remainder when 12 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y + 2. Let c(l) = 1. Give c(d) - z(d).\nAnswer: 8*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/18)\/(14\/288036*254)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 18 = 9*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158371 by -160.\nAnswer: 158371\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56\/6*(46 + 8) and 7.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert acc123 (base 15) to base 2.\nAnswer: 11111011100001101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -7*p + 3*u + 2026, -u + 510 = p. Let h = -503 + p. Solve -3*r + 5*r + 4 = k, 3 = -k - h*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 520632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.08919ml in litres?\nAnswer: 0.01508919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 3 (c) -1\/2 (d) 2\/495\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 21684*t + 1990665.\nAnswer: 3*(t - 7135)*(t - 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2 + 2*m + 2. Let s(c) = 6*c + 8 - 2*c - 5*c. Let n(r) = r**2 - 22*r + 118. Let z be n(14). Let q be s(z). Give j(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + s**2 + 22*s + 13. What is o(-6)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*u = 3, p = -u - 4*u + 21. Let s(y) = -y**3 - 6*y + 3*y - p*y**2 + 3*y**2. Let a = 215 + -217. What is s(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 4. Let h be d(3). Suppose -7*n = -3*n + 176. Let s be 168\/n + (-4)\/22. Sort h, 2, s in increasing order.\nAnswer: s, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5 + 48*n**4 - 297*n**3 + 888*n**2 - 1284*n + 720 = 0. What is n?\nAnswer: 2, 3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 14*g = 27*g + 393 + 357 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -2. Suppose -h*n + n = -44. Suppose -20*s + n*s = 102. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 6*b - 12. Let i be f(-7). Let s = 56 - i. Suppose -s = 4*y - 156. What is the greatest common factor of y and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*o - 442*o - 14 + 12.\nAnswer: -19*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1633 - -1538. What is the biggest value in 0, d, -1\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, i: 5, s: 1, u: 1, f: 1}. Give prob of picking 4 i.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69290, -276251, -620884, -1103189, -1723166?\nAnswer: -2480815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 divided by -36?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -26. Suppose -2*d + d + x = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) + (-392)\/(-20). Let n be 92\/k + (-4)\/(-10). Let v(z) = z**2 + 2*z + 1. Let j be v(n). Calculate the greatest common factor of 90 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/(-74)*6\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 773100, 1546442, 2319784, 3093126?\n\"Answer: 773342*m - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 1 - 1 + (-1 + 1 + 1)*(-3*s + 2*s - s) - 4*s + 7*s + 4*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 2. Let z(q) = -q**2 - 7*q - 3. Let u be z(-5). Suppose -u = 4*w - 3. Let k(s) = -5*s**2 + 4*s**2 + 2*s**2. Calculate w*i(m) + 2*k(m).\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34745, 69255, 103763, 138269?\n\"Answer: -j**2 + 34513*j + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 7*p + 12. Let j be b(-7). Calculate the greatest common factor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6 - 3. Suppose 28 = i*l + l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**5 + 656*i**4 - 15040*i**3 - 1074432*i**2 - 737280*i + 176947200 = 0 for i.\nAnswer: -20, 12, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 877 - 877. Let b(l) be the second derivative of -29*l**4\/12 - 5*l. Determine a(b(f)).\nAnswer: -58*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 2*l**2 + (-1 - 2*l + 1)*(24 + 4*l + 22*l - 19) + l**2 + 0*l**2 + l**2 in the form y*l + n*l**2 + f and give n.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 479 = -5*x, -3*x + 5*x - 161 = -w. Suppose 0 = -5*c - 28 + w. Suppose -c - 17 = 3*s. Which is greater: -15 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129479\/24 - -5390. Find the common denominator of m and 19\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 353*l**3 + 3*l**2 + 2*l - 14. What are the prime factors of u(2)?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2342 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 8, c: 1, j: 1, d: 4}. What is prob of picking 1 j and 1 d?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 82 + 82 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 - 0.1. Let y be (-2)\/7*2\/(-4). Let r = y + -11\/28. Which is the nearest to 0.1? (a) 0 (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3) + 0 + 3 - -4*(-2 + sqrt(2448)).\nAnswer: -5 + 49*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.12 + 21.14. Which is the closest to -1? (a) 4 (b) r (c) 5 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102389312.2 - 102389389.2770961. Let h = s + 739.0767451. Let k = h - 662. Round k to 5 dps.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - h + 5 = -r, 2*h - 14 = -4*r. Solve m - r = 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.076 + -0.744. What is g rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-3)\/(5544\/(-80))*(-27)\/(-15)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 11 - 3 = 0. Let x = 113 - 44. Calculate the remainder when x is divided by (-48)\/d*(-3 + -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/2, 14, -0.1, -0.026.\nAnswer: -1\/2, -0.1, -0.026, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 10*u**2 - 9*u + 1. Let q be c(7). Calculate the greatest common divisor of q and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*n**2 + 2*n**3 - 50*n**2 - 2 - n + n**4 + 25*n**2 to the form j*n**4 + z*n**3 + d*n**2 + x + m*n and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -18. Let p = 11 + -7. What is the smallest value in p, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3795*l**2. Let j(w) = -62449*w**2. What is j(z(p))?\nAnswer: -899392059225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 9*k + 25. Suppose 4*m + 2*q + 6 = 50, 0 = -5*q. What is the remainder when 30\/(-3)*(-1)\/2 is divided by o(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-52) + 17\/(-26)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75140 + -75136. Determine m, given that 0 + 1\/4*m**h + 0*m - 1\/2*m**2 + 1\/4*m**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5541247 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/14)\/h)\/h*h*h\/((h\/(h\/(h\/h**10)))\/h)*h)\/(h**(-1)\/(h**(-11)\/h)) assuming h is positive.\nAnswer: h**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x**3 - 5*x**3 + 3*x**3)*(x + x - 6*x + (2 - 3 - 1)*(-2 + x + 2) + 2*x + 2*x - 3*x) to the form p + n*x**4 + r*x + t*x**3 + v*x**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(68) + sqrt(68)\/sqrt(36) - (sqrt(17) - (sqrt(68) + 0) - (sqrt(68)*-2)\/sqrt(4)))**2.\nAnswer: 16*sqrt(17)\/3 + 308\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4376701885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/40*(16 - 23) and -41\/710?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42278074.\nAnswer: 2, 617, 34261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 11 + 5 = 0. Let j = 6 + b. Suppose j*s - 4*o = 31, 4*s + 6*o = o. What is the highest common divisor of s and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/4 - 2)*(-109 - -113). Solve 10 = 5*d, 5*p - 36 = -5*d - a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (335\/(-201))\/((-25)\/60). Solve 0 = 4*z - 5*v + 41, u*z + 2*v + 13 = 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 26 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.78981 rounded to 2 decimal places?\nAnswer: 6.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 986, 1023, 1058, 1091, 1122, 1151, 1178?\n\"Answer: -o**2 + 40*o + 947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4 - -7) + 2)*1. Let v(d) = 2*d**3 - d**2 + 12*d - 6. Let j be v(h). Let z = j - 152. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 24*d - 8. Let o(f) = 16*f - 5. Let j be ((12 + -2)\/2)\/1. Let t(k) = j*b(k) - 8*o(k). Let m(u) = 2*u. Calculate t(m(z)).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**2*m**2*y - 6*c**2 - c*m**2*y + 2*m*y - 11*y wrt m.\nAnswer: 8*c**2*y - 2*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1549046931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 81, 129, 175, 213, 237?\n\"Answer: -u**3 + 5*u**2 + 40*u + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**3\/8 + 201*n**2\/8 + 3*n\/8 - 201\/8 = 0.\nAnswer: -1, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -23. Suppose 23 = -3*o + u*z, 2*o - 30 = 6*o - 5*z. Is 2\/(-6)*(-1466 - o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48137981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306 divided by 102.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42137 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**4\/12 - 2*d**3\/3 + 2*d**2. Let i be p(3). Factor 2*a**2 + i*a**5 - 2*a**4 - 5*a - 2*a**3 + 5*a.\nAnswer: 2*a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2053 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 22. Suppose -h*k - 38 = -0*k - 4*m, 0 = 2*k - m + 17. Let n(i) = i**3 + 6*i**2 - 2*i - 7. What is the units digit of n(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(10\/4)*1. Let g = 0 - z. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1213402250 + -1?\nAnswer: 1213402245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -15*v + 12. Is g(-5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 164903613?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + l - 6*l = 6, 4*l - 12 = -4*z. Let r be z + (-7)\/(105\/23). Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200040543 (base 6) in base 3?\nAnswer: 221021221101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -28. Calculate the remainder when (-3200)\/(-32) - (-5 + w) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 3*w**2 + 0*w**2)*(2*w**2 - w**2 + 0*w**2) + 3*w**4 + w**4 - w**4 + w**4 + w**4 - 3*w**4 + w**4 + w**4 - 4*w**4.\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - o**5)*(1 - 3 + 1) - 4 - 3 + 5 - o**5 + (2 + 2*o**2 - 2)*(-44*o**2 + 10*o**3 + 44*o**2).\nAnswer: 20*o**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kskkisikiiikkskk. What is prob of picking 1 s, 2 i, and 1 k?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/16 - ((-576)\/42)\/6?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**2\/2 + 5*x. Let i(g) = g + 2. Suppose -8*f = -4*f - 4. Let q(d) = f*i(d) + 3*l(d). Determine q(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31166.\nAnswer: 2, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -3a9?\nAnswer: 3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35926 + -22559. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2 + 20228*f - 80848 = 0. Calculate f.\nAnswer: 4, 5053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11984526 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.4 rounded to the nearest 10?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2947052871?\nAnswer: 3, 7, 587, 79691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -263 + 53. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9\/17 - -29\/119. What is the nearest to -1\/4 in -0.2, -2\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/7? (a) 1347\/7 (b) 1 (c) -4\/3 (d) -4 (e) 3 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -102 + 1789 + -1623?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -2 (c) -214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15264.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6054, -12097, -18136, -24171, -30202?\nAnswer: -36229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*(15\/6 - (-39)\/(-15)). Let o = 12.6 + -13.6. What is the fourth biggest value in u, 1, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13029906 by 18022.\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w**2 + 3*w - 11. Let j(f) = 5*f**2 - f + 3. Determine -7*j(a) - 3*x(a).\nAnswer: -2*a**2 - 2*a + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -884*t + 1178*t + 2154*t + 2957*t - 770*t + 5.\nAnswer: 4635*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -80)\/(4 - 3). Let w = 113 + z. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.5, 1\/4, -52\/19, 0.02 in decreasing order.\nAnswer: 3.5, 1\/4, 0.02, -52\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36332579 + -24745355. Let c = s + -21987224. What is c rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**4)\/(u*u**(-39)\/u))**(36\/11) assuming u is positive.\nAnswer: u**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**20\/l))\/(l**(11\/7)\/l) assuming l is positive.\nAnswer: l**(-130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2602*(88 + -84 + (-6)\/4).\nAnswer: 5, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 2*i**7\/21 - i**6\/6 - 7*i**4\/12 + i**2\/2 + 15*i. What is the third derivative of v(c) wrt c?\nAnswer: 240*c**2 - 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 315\/490*(-704)\/198?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((33 - 36) + (-27)\/(-8))\/(-1 - -4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 - -126 - (-5 + -1) - (1 - -5).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4\/9 - 218*f**3\/9 - 9290*f**2\/3 + 133914*f - 1241460 = 0.\nAnswer: -99, 15, 22, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14704 and 32165?\nAnswer: 514640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*p + 5*n, 0 = -5*p + n - 0*n - 18. What is the biggest value in -0.3, -2\/11, p?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 1c5c16?\nAnswer: -1c5c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*r**2 + 24*r + 216.\nAnswer: 2*(r + 18)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219422.582 rounded to the nearest 100?\nAnswer: -219400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -3 + 6 + (-3 - -3). Solve -7 - 9 = k*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -1, -24 in decreasing order.\nAnswer: -1, -24, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182113 divided by 5?\nAnswer: -1182113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616*x - 3 + 14 - 858*x - 11 + 0.\nAnswer: -242*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17213 + -17211. Let l = -5 + 5.3. What is the closest to v in l, -0.2, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.2 (b) 0.0154 (c) -5 (d) 10\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58161625 is divided by 1876?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 2. Let y be l(-4). Let g = 6 - y. What is the common denominator of -8 - -4 - (-26)\/g and -83\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*l + 40*l**2 + 35*l**2 - 73*l**2)*(18*l + l - l).\nAnswer: 36*l**3 - 1152*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 15, 4*j + 0*d + d = 29. Let k be (-21)\/(-2)*12\/18. Suppose 25 = -k*c + 12*c. Solve 3*z = -3*s, 0 = -3*s - 0*s - c*z - j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 1530125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 3*g - 2*g - 3*g + 2*g - 2*g + (15 - 3 + 5)*(-g - 1 + 1) to q*g + f and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:37 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + g = -4*d + 7, 5*g = -d + 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10295 + -10295.04. Put -1, 3.3, p, -2 in descending order.\nAnswer: 3.3, p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 3 (c) 1124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*g + 27*g = -69309. What are the prime factors of g?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 - 4*q**5 + 2*q**5 + (2*q**3 - q**3 - 3*q**3)*(q**2 - 6*q**2 - q**2).\nAnswer: 13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1)*n**(-2\/3) assuming n is positive.\nAnswer: n**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from {n: 4, l: 6}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - 173*m**2 + 74*m + 534. Determine l(86).\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 26 = -14. Solve -i + g = 0, 4*i - 8 = -v + 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1 = 5*c + 2, 2*n = c - 11. Let p be (-12)\/n - (-18)\/63. Suppose 3*h = -2*o + 96, -5 = o - p. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*d + 2. Let w(i) = 439 - 2*i**d - 439. Let r(b) be the third derivative of -b**5\/20 + b**2. Determine r(w(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j + 15. Let n(v) = -v + 1. Let b(r) = m(r) - 3*n(r). Let y be b(-6). Suppose 4*k = -2 + y. Let t(g) = -3*g - 1. Give t(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 16 = -18*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 6:37 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 divided by -117?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 - 2003*n + 2006*n - 391.\nAnswer: 3*n - 497","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4*d**(2\/25))**8)**(1\/56) assuming d is positive.\nAnswer: d**(102\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 30, -8, 1 in increasing order.\nAnswer: -8, 1, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 96*w**2 - 91*w - 621. Determine a(97).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-4)\/(-22) + (-15668)\/(-22). Let p = 715 - w. Solve p*n = 4*n + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6 + 5 + d + 67 + 39 + 35*d. Let y be m(-3). Which is the second smallest value? (a) -5 (b) -1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l - 157 + 1453 = 0 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 2*y**5\/5 + 13*y**4\/8 + 5*y**3\/2 + 7*y**2\/4 + y\/2 + 3. Find w, given that m(w) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8 - 1 + 13*l**2 - 5 + l**3 + 23*l + 13. Let w be h(-11). Solve 3*z + 15 = s, s = -w*z + 2*s - 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - 12. Let c be -1*7*(-66)\/q. Suppose -6*r - 13 = -5*r + 4*m, 5*m = -3*r - 25. Is r at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Suppose q - 459 = -5*f, 0*f - f - x*q = -99. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2130532 is divided by 222?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -4. Suppose 0*t = f*t. Sort 5, -1, t.\nAnswer: -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + -7 + 17 + 0 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 2, h: 1, r: 2, j: 1, i: 1}. What is prob of picking 1 j and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 267 or 4004\/15?\nAnswer: 4004\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6495\/29 - 224. What is the fourth biggest value in -2, b, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-10))\/(30\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 7:35 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from {p: 2, z: 4, m: 1, b: 2, r: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(378) + 2*(sqrt(378) + -1*sqrt(378)))\/(4*-2*sqrt(6)) + 0)*6*-4)**2*2.\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -243 smaller than -137377\/562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10417554 and 35931.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwgwwgw. Give prob of picking 4 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 23469915*p - 117349450.\nAnswer: -5*(p + 5)*(p + 4693978)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -80*z + 71. Give i(2).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(39)\/sqrt(3)*-5.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 121 - -301?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17051.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.33 + 0.31. Let w = -0.261 + 0.161. Which is the second biggest value? (a) x (b) 1\/2 (c) w (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*a + 20. Find the second derivative of -11 + 62*c + 27*c**5 - 4*c**5 - c**2 + 20*c**a - 63*c wrt c.\nAnswer: 860*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0149521 rounded to five decimal places?\nAnswer: -0.01495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118 and 39825.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1093, 2220, 3347, 4474, 5601, 6728?\nAnswer: 7855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.568 + 0.132. Let n = 6 - p. Suppose 3*u = -a - 2 - 2, 4*a = 3*u + 14. What is the nearest to 1 in a, 2\/9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w + 3*w**2 - 11*w**3 + 3 - 7*w + 0*w**3 - 14*w**3. Let i(s) = -s**3 + s**2 + 1. Let r(h) = -2*i(h) + t(h). Is r(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 15. Suppose 14 = -a*t + 62. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1904.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013755 rounded to 7 decimal places?\nAnswer: -0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 - -119. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 43*m + 5. Let x(k) = 102*k - 15798. What is the remainder when r(6) is divided by x(155)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence arww when four letters picked without replacement from wwwwraawwaa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = 17*s + 4. Suppose 5*y - 1 - 8 = -s*d, 4*y - 8 = -4*d. Let g = 98\/3 - 33. Is d at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016435 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -15113*t**2. Let r(m) = -m. What is w(r(h))?\nAnswer: -15113*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135\/56 + -16\/7. Let p(v) = v - 8. Let t(k) = 1. Let b(i) = -p(i) - 4*t(i). Let o be b(9). What is the biggest value in c, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3945789577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h. Let q be (-1 + 7 - 9) + 6. Let y(v) be the third derivative of 0*v + 0 - 1\/20*v**5 + 9*v**2 + 0*v**q + 0*v**4. Give c(y(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/10 of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*l + 237, -5*l = -11 - 4. Let d be ((-6)\/(-27))\/((-6)\/j). Let m = 0.07 + 2.93. Sort 0.1, m, d in increasing order.\nAnswer: 0.1, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110360 + 3?\nAnswer: 110363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -383 - -651 - 375 - (-4 + -1).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*v - 740074 + 146017 = 0. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48067 + -5?\nAnswer: -48073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4892049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, q: 2, s: 7}. What is prob of picking 1 y and 2 q?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 a, and 1 h when three letters picked without replacement from {a: 1, u: 6, q: 1, h: 1, z: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12595611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 457217, 1828872, 4114963, 7315490?\nAnswer: 11430453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(-2082*p + 2082*p - 65*p**2)*(4*p + 0*p - 2*p).\nAnswer: -390*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 1 = -3*q, a = q + 3*q - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2064 + -0.1064. Which is the fourth smallest value? (a) -2\/19 (b) 8\/5 (c) 5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5162 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 5*v**2 - 3*v - 1. Is n(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*x - 1 = 0, x - 4 - 21 = -2*g. Let u(o) = -o - 4. Let k be u(-9). What is the remainder when g is divided by k - (0 + 2 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.5 - -1.5. Let d = -7.999999 + n. Round d to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 70 - 185. Let f be 1 - (1*v - -1). Suppose -5*a + 4*x = -f, -5 = a - 3*x + 7*x. Let q(s) = -s + 1. Determine q(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20*10\/15*9\/12. Let c(j) = j**2 - 6*j + 3. Let b be c(7). Suppose -b = -4*d + 3*d + 3*n, 2*d - 2 = -3*n. Solve d*v - 10 - h = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 11 + -9 + -5 + 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9062514 divided by -503473?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2498 - -5064. Is y a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (-2)\/(-9) - (-5)\/(90\/1976)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 209 and 99.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3187*y - 16*y**3 + 3187*y)*(2 - 3 + 2)*(3 + 2*y - 3).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -144622165?\nAnswer: -144622212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 14 - (10 + (76 - 157))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (8902 - -2) + (-140)\/28 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*3*5\/(-45). Let a(g) = 1884*g**2 + 16*g - 17. What is the thousands digit of a(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + i - 2*i + (2*i + 0*i - 4*i)*(6270 - 10898 + 7311).\nAnswer: -5367*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 2:58 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 4:57 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/7 + 5650\/8701.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 15*t - 70. Let p be y(-19). Sort -4, p, -26, -1.\nAnswer: -26, -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9159335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.9757, 17\/5, -2\/5.\nAnswer: -0.9757, -2\/5, 0.2, 17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19*(12 - ((-585)\/27 + 21 + 50\/4))?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10586.5 and -181051129.\nAnswer: -181040542.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 - (-9 + 2)) - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-24)*6\/(-30). Which is the nearest to 1? (a) w (b) -2\/7 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uauq when four letters picked without replacement from ququqauqquqaqqauauq?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a5 (base 11) in base 6?\nAnswer: 12534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 64*x**2 - 263*x + 37. Determine b(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*o + 469 = -5*x, 3*x - 3*o + 453 = 0. Let i = x - -165. Solve -5*s = 3*u - 7*u + i, 2*u - s = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -1007\/18. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -12. Let h(y) = 5*y + y**3 + a*y**2 - 8 - 4*y**2 + 2. What is h(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 12*f + 13. Let o be (2\/(-1) - 24)\/2. Let m be q(o). Let p be m\/(-1) - (-42)\/7. Is p not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 11*v + 14. Let w(y) = -y**2 + 26*y + 166. Let g be w(31). Calculate n(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 8:21 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1969?\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39457, -39451, -39441, -39427?\nAnswer: -39409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3924656.\nAnswer: 2, 245291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 6:01 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*r**3*s*z + 3*r**3*z - 2*r**2*z + 2*r**2 + 91405*r*s*z + r*z - 10307 wrt s.\nAnswer: 13*r**3*z + 91405*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.95999913 - -1.96. What is x rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 114, 155, 178, 177, 146, 79, -30?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxoxbbxobooomu. What is prob of picking 1 b and 2 o?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*q - 4065 = 0, 44*q - 41*q = -3. What is the remainder when j is divided by 211?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 11:44 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -158. Calculate the lowest common multiple of 4 and p.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.83 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/2 in -2\/7, 1\/4, 0.023, 840?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 545354 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 80, -39, -146, -241, -324, -395?\n\"Answer: 6*y**2 - 137*y + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*j - 23*j**3 + 60*j**2 + 170128*j**4 - 170127*j**4 - 80 - 3*j.\nAnswer: (j - 20)*(j - 2)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/9)*w)\/(w**2*w*w)*w*w**(-1)*w**(-6))\/(w*(w\/((w**(-6)*w)\/w))\/w*w*(w**(2\/3)*w)\/w)**(29\/4) assuming w is positive.\nAnswer: w**(-1271\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 775794645 to the power of 1\/4, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + s + 1. Suppose 9 = -211*g + 119 + 101. Suppose 0 = -4*a + 2*a - 36. Let q = a + 13. Let i(z) = -10*z**2 + 5*z + 5. Determine g*i(l) + q*n(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/13 or -72\/7?\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - 0.4. Let r = 2.6 + p. Let f = -2212\/9 - -246. Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 - 83. Let x be (223\/t)\/(((-3)\/(-9))\/(-1)). Suppose 491 = 3*q - x. List the prime factors of q.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3674 is divided by 147?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 f, and 1 v when three letters picked without replacement from vdvjfdxvfjxvxvv.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -488.48814167169 plus 2?\nAnswer: -486.48814167169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7379.6 + -0.0302.\nAnswer: 7379.5698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -156, -190, -254, -348, -472?\n\"Answer: -15*l**2 + 11*l - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*((-2)\/3)\/(180\/(-27)*14\/875).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21f174 (base 16) to base 6.\nAnswer: -115402340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-6)*(14\/(-1))\/(8*31\/(-1488))\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p + 93. What is the remainder when n(-4) is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*9*3\/18. Suppose 192 = c*b + b. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3813439 at most as big as -2.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 8*f**2 + 9*f - 1. Let t be n(9). Let a be (1 - (3 - 3))\/(t\/(-3033)). Let o = -1650 + a. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, -4, 1\/4, 5, 2, 0.04, 43\/8 in descending order.\nAnswer: 43\/8, 5, 2, 1\/4, 0.04, -4, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 + 10 - 6*r - 9 - 4*r**2. Let c be u(-6). Is c greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 7*r + 5. Let t(p) = -225*p - 2. Is t(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*o + 8, 5*l - 4*o - 18 = 1. Let g(x) = 3*x - 2. Let j be g(l). Suppose 58 = -j*t + 310. What is the remainder when 141 is divided by t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1, 0, 0.1, -148, -3 in increasing order.\nAnswer: -148, -3, -0.3, 0, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -108*l - 35. Let b be -18*(4\/(-32))\/(4\/(-16)). What is the units digit of h(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (10 - 27) - (4*3 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/88*-1*2.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1960541 is divided by 1960431.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 3*g + 11, h - 16 = -29*g + 32*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -91 (c) 77 (d) 5 (e) 6\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14370799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76 - 20) + 4 - 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (-7 + -9 - -52)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a72 + 5?\nAnswer: 3a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*n + 5 - 6 - 40*n)*((0*n**3 + 2*n**3 - 4*n**3)*(2 - 2 - 2*n) - 2*n**4 - 25*n**4 - 31*n**4).\nAnswer: 2862*n**5 + 54*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 49104*u + 688240.\nAnswer: -4*(u - 12290)*(u + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*i**2 + 23*i - 146*i**2 - 54*i**2 + 13*i**2 as q*i**2 + b*i + c and give q.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(0 + 58\/(-28)) + 42\/(-98).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l**5\/8 + 285*l**4\/8 + 2013*l**3\/8 + 5259*l**2\/8 + 2589*l\/4 + 207 = 0.\nAnswer: -23, -4, -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11589287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 0*q - 2*q + (0 + 3 - 2)*(-3*q + 2*q + 4*q))*(q + q - 5*q) to m*q**2 + j + x*q and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149*c**3 + 3*c + 71 wrt c?\nAnswer: 894*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*m - 3*m = 910, -3*s = -4*m + 1399. Let b = s - -1150. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 1. Suppose -y*r + 3 = -42. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 2\/23 (b) -1 (c) -0.3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 27 = -5*n, -3*n - 8 + 21 = w. Solve -c + 5 = 2*t - 6*c, 0 = -3*c - n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (14 + 5 + -26 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -10. Let c be 6\/4 - (-21)\/14. Suppose d = -b + m, 4*b + 3*d - 15 = -c. Solve z - b = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/25 or -276.12?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 979986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g - 3. Let h = 10 + -6. Is 9 a factor of c(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.532 + -1.\nAnswer: -2.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1, 0, -2\/7, -4\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 103325293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/320 and 121\/640.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 4642506?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1118 and -0.1.\nAnswer: -111.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.2 - -4. Let s be (-6)\/((2\/(-2))\/(23 - 22)). Suppose 7*i - 2 = 4*i - 4*t, 3*i + 2*t + 2 = 0. Which is the closest to u? (a) -1\/4 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/16*378\/(-945).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8424, 16853, 25302, 33783, 42308?\nAnswer: 50889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:47 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 65475\nAnswer: -2\/65475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-26)\/16)\/(-13))\/((-89)\/712). Let r = -45.1 - 2.9. What is the closest to o in r, -2\/19, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/1*(-1 - 1). Calculate the remainder when (19 - -1) + 0 + (-39 - -36) is divided by (-2)\/3 + (-116)\/j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3 - 9. Let c(z) = -z**2 + 0*z + 2*z + g*z - 3 + 0*z. What is the units digit of c(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198011 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 159033695 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + 0.1. Let u = -5.02 + d. What is the third smallest value in 4, u, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 - 9*f + 6. Let k(o) = o**2 - o. Let z(i) = 2*k(i) - v(i). Suppose 0 = -4*d + 11 + 1. What are the prime factors of z(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 10*c**2 + 2*c + 20. Let n be r(-10). Suppose o + n*o = -2*o. Let p(y) = -5*y + 0*y + 4*y - 14 + o*y. What is p(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a**(5\/2)*a**(-7\/3)\/a**0)**(-1\/11) assuming a is positive.\nAnswer: a**(17\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/7)\/(f\/(f\/f**13)))\/(f*f*f**(-1\/12)*(f\/(f\/(f*f**(2\/15))))\/f))**(-33) assuming f is positive.\nAnswer: f**(72171\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 0 + (-10 - -42) + -27.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2. Let j(r) = 4*r - 6. Let l(p) = 5*p - 7. Let h(d) = -7*j(d) + 6*l(d). Calculate g(h(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1181 + 0.04.\nAnswer: 1181.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - 0.1. Let b = 37 + -36.5. Let k = 3.5 - b. What is the third smallest value in p, k, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2020? (a) 0.06 (b) -2\/3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(243) - (sqrt(3) - (sqrt(3) + 0 + 3)).\nAnswer: 2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k**2 + 2*k**2 + 26*k**2 + 3 - 6*k**3 - k**2.\nAnswer: -6*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 102 = -2*r + 97, 2*c = -5*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 974313938?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a factor of 522189650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308902, -308900, -308898, -308896?\nAnswer: -308894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2783.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -5*s**7\/21 - s**6\/10 + 3*s**4 - 204*s. What is the third derivative of a(p) wrt p?\nAnswer: -600*p**2 - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23.691105 nanoseconds?\nAnswer: 0.0000000000065808625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - 13.2. Let i = y + 9. Let d = -177 - -177.03. What is the fourth smallest value in i, -2\/5, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24789 (base 10) in base 7?\nAnswer: -132162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95 + (3 - (-12)\/(-5))*880\/48)*1.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = n - 11*i + 14*i, 4*i + 70 = 5*n. Suppose -5*s + n - 68 = 0. Let y(j) = 2*j + 5. What is y(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124.9, -1\/4, 0.06, -1\/5, 0.\nAnswer: -1\/4, -1\/5, 0, 0.06, 124.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73798.\nAnswer: 2, 36899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80 - (-91 + 212)) + 76.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 98*x + 1567. Let w be m(-15). Solve 121 = -4*q + w for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13933.\nAnswer: 13933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + s + 2*s. Suppose b = -4*g + 19, s*g - 23 = -5*b - 2*g. Suppose 4*a - 3*o - 892 = 0, o - 1115 = -2*a - b*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + -1*sqrt(171))*-2 - 1*(sqrt(171) + 1*sqrt(171)))*5)\/(6*(sqrt(63)\/sqrt(7) - sqrt(9)) - -3*(sqrt(81) + sqrt(9))).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 6490, -2\/7, 20\/11, -3\/8?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 10:19 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16410284.1 microseconds?\nAnswer: 0.00002713340625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 45 - 9. Let v be -1 - 0 - (-15)\/z. Find f, given that 0 - 1\/3*f**3 - v*f + f**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2397)\/(-204) - (48\/(-6) - -3 - -17). Let w = -5 + 7. Let v = w - 2.5. What is the nearest to x in v, 1\/2, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h. Let w(l) be the second derivative of -13*l**6\/720 + l**4\/6 - 2*l. Let f(q) be the third derivative of w(q). Give -4*f(m) + 18*g(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.9986648 - 11?\nAnswer: -33.9986648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/615 and -61\/287.\nAnswer: 4305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4552*t. Let o(n) = -580*n + 3. Calculate o(y(b)).\nAnswer: 2640160*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/9)\/((-4)\/6). Suppose 3*t + 33 = -3*i, -46 = -0*t + z*t + 2*i. Let v = -5 - t. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.22826 decades to centuries.\nAnswer: 0.522826","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i = -6. What is the first derivative of -18*b**i + 4*b**3 + 18*b**2 + 3 wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26453304149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/5406 and 87\/442.\nAnswer: 70278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 321 (b) -3 (c) -2\/15 (d) 1.58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043112ml in litres?\nAnswer: 0.000043112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 3. Let x = -51 + 57. Determine i(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43839566 divided by -600542.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -179045.064 to the nearest 10.\nAnswer: -179050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79972, 0, 4, -87 in ascending order.\nAnswer: -79972, -87, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) -35 (c) -2458 (d) 4 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = -8*q - 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**3 + 3*y**2 - 3*y + 3. Let q(b) = 6*b**3 + 4*b**2 - 3*b + 4. What is -3*q(k) + 4*z(k)?\nAnswer: 2*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 28*o**3 - 16*o**2 - 2*o. Suppose 5*n + 14 + 11 = 0. Let u(d) = 27*d**3 - 16*d**2 - 3*d. Let i(h) = n*c(h) + 4*u(h). Find w, given that i(w) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 967157, 967159, 967169, 967193, 967237?\nAnswer: 967307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.86958 millilitres to litres.\nAnswer: 0.05586958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-66)*(-3)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -89829754.6 to the nearest ten thousand.\nAnswer: -89830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 227*v**2 + 262*v**2 + 29*v**2 + 155*v**2 - 360*v**2 in the form j*v**2 + c*v + p and give j.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -5. Let f = -38.25 - -0.75. Let r = f - -38. What is the biggest value in -0.5, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65200224 (base 7) to base 13\nAnswer: -11ca270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*r - 5, 7 + 13 = 3*r - 4*h. Let k(z) = -z - z + r*z. Let s(o) = -11*o**2. Calculate k(s(w)).\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 590*j - 483. Is y(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*2\/24)\/((-25)\/(-20))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6128*a**3 - 2*a - 6132*a**3 + a**2 + 2*a + 18463*a**3 - 6154*a**3.\nAnswer: 49*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6189 - 174*z + 6189)*(z + 0*z + 0*z) + 4*z**2 + 119 - 120 + 9*z**2.\nAnswer: -161*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - (-22 - -23).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 368986 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33007 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.14 - -0.84. Let a = -0.7 + u. Let w be -1*((-21 - -9 - -15) + (-22)\/8). What is the nearest to w in a, 0.02, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/134178 and 26\/399?\nAnswer: 939246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 2\/765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220221001 (base 3) to base 14.\nAnswer: 68a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 1362*l**3 - 1380*l**2 - 6834*l - 4095.\nAnswer: 3*(l - 3)*(l + 1)**2*(l + 455)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15432?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(272))\/sqrt(8))\/(sqrt(242) - sqrt(242)*-2).\nAnswer: sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1119878, -1119869, -1119860, -1119851, -1119842?\n\"Answer: 9*p - 1119887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*v**5 + v**3 + 42*v + v**3 - 719 + v**3 + 719 wrt v.\nAnswer: 400*v**3 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y. Let c(t) = 14*t**2 - 4. Let d(r) = -42*r**2 - r + 14. Let z(o) = -7*c(o) - 2*d(o). Give z(s(l)).\nAnswer: -56*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n + 12 = 0. Suppose -n*s - s = -8813. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3781065.517 less than 152?\nAnswer: -3780913.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16272992*g**3 - 51*g + 298364 wrt g.\nAnswer: 97637952*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/((s\/(s\/(s*s**(2\/3)*s)))\/s))\/s*s*s))\/s**(-11))\/((s\/(s\/s**2)*s)\/s*s)**46 assuming s is positive.\nAnswer: s**(-379\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 326 (base 10) to base 8\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m + 33. Let q(l) = 2*l + 4. Let s be q(-7). Let c be p(s). Suppose -5*g - 18 = -2*g. Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 8*q**2 + 8*q - 4. What is the remainder when k(-9) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 - 3*c**2 + 4*c + 6. Let l be x(-2). Differentiate -46*p**l - 3 - 28*p**2 - 49 - 34*p**2 - 125*p**2 wrt p.\nAnswer: -466*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7646149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -229*d**2\/2 + 58*d - 130. What are the prime factors of l(-4)?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 4*j**2 - 4*j + 4. Let i be o(-3). Let y = i - -332. What are the prime factors of y?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 31. Suppose 5*w = -4*z + m, 0*z + 5*w = -3*z + 32. What is the second derivative of -5 + 5 + 2*n**z - 2*n wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 > 612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/54)\/(34\/(-49)). Let a = v - -1690\/1071. What is the common denominator of a and 29\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 11:47 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56169053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-21) + 8 + (-153)\/7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 832507.2 minutes to weeks.\nAnswer: 82.59","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-5) - (-4)\/10)\/(-7)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44c8 - 120?\nAnswer: 43a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 12:05 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 612.8703 + 0.1297. Let x = 612.9999825 - h. What is x rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + -8 - -2 - 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 21 (b) -1 (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -55*d**3 - 2*d**2 - 3*d - 1. Is s(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**3 + 3*v**2 - 4*v - 2. Let q(u) = -6*u**3 + 4*u**2 - 5*u - 3. Suppose 0*f + 18 = 9*f. Give f*q(d) - 3*k(d).\nAnswer: 3*d**3 - d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21120835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152758390 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100713549?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {p: 5, y: 3, u: 1, z: 1, i: 5, s: 5}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 7281 = -39*q - 1809. Calculate the remainder when 532 is divided by q.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -292 + 294. Let c be h*((-156)\/(-56) - (-2)\/(-7)). Let q = -2 - -4. Solve -4*a + 8 = -4*j, q*j + a = 2*a - c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9179 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 173, 1\/5 in ascending order.\nAnswer: -2, 1\/5, 2, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24427780 by -2.\nAnswer: -12213890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10229482 (base 10) to base 8\nAnswer: -47013352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 10:06 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3521007 and 3213.\nAnswer: 179571357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44.05 + -44. Let y = x - -2.95. Which is the closest to -0.4? (a) -4 (b) y (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*m + 861 = 363*m. Let r = m + 348. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 43*b. Let l(q) = 25*q. What is s(l(g))?\nAnswer: 1075*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20690 rounded to the nearest one hundred?\nAnswer: 20700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18444 is divided by 66?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 + 37 + 91 + -136.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -550 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 13*d**2 - 82*d + 232. Suppose a + a = 40. Calculate the smallest common multiple of a and y(3).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3245 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 1. Let t be x(2). Suppose -57 = p - 5*p + t*i, -5*i - 49 = -3*p. What is the greatest common factor of p and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**3 + 2*g**3 - 12*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1078*b*f**2 - b + f**2 - 2*f - 4596 wrt f?\nAnswer: -2156*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*q**4 + 7*q**3 - 14*q**2 - 6647.\nAnswer: -24*q**3 + 21*q**2 - 28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 16*h**2 - 17*h + 15. Let w(d) = d**2 - 10*d + 38. Let c be w(7). What is the remainder when (-1)\/((-1)\/(-1))*-58 is divided by g(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 38, -1 in decreasing order.\nAnswer: 38, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -426 + -3?\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**2 + 14*l**2 + 6*l**2 + 1 as f*l + q*l**2 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 5. Find the second derivative of -w**5 + r*w - w**5 - 4*w wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23\/2 + -65\/6. Suppose 7*c - 5 = 6*c. Let q(t) = -3*t + 1. Let h be q(2). Put c, h, d in decreasing order.\nAnswer: c, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803410 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44242 is divided by 11011?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 + (4 - 6))*(-285)\/2280.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -3. Let s(w) = w**3 + 4*w**2 - 3*w. Let u be s(-5). Let b = u - -15. What is the remainder when m is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/2 and (-15)\/(-12) + 533\/(-252).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**3 - 2*v**2. Let o be b(-1). Suppose 22*r = 19*r + o. Let a = -1.2 - -1.13. What is the third biggest value in 0.2, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**6\/120 - 11*l**5\/60 + 31*l**4\/24 - 19*l**3\/3 + 17*l**2 + 1. What are the prime factors of g(11)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 14 = -5*b, -b - 2*b = 4*n - 24. Suppose 0 = b*c + 187 + 3041. Let m = -484 - c. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -4, -99132, 1 in descending order.\nAnswer: 2, 1, -4, -5, -99132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - h**2 - 4*h + 2. Let i be m(3). Suppose 5*j + 399 = i*j. Calculate the highest common factor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 30 = -32. Let i(f) be the first derivative of -f**5\/30 + f**4\/24 + f**2 - 1. Let p(c) be the second derivative of i(c). What is p(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -5482?\nAnswer: -5486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 2*s**4 + s**2)*(-8*s + 12*s + 9*s + (4*s - s - s)*(-2 + 0 + 0) - 2*s + s + 3*s).\nAnswer: -22*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2287901, -4575844, -6863787?\nAnswer: -9151730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03092 times -0.028?\nAnswer: 0.00086576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) -2 (c) -8 (d) 3\/28 (e) -0.3 (f) -3 (g) 218\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times 15\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-300 + 300 + 140*g)*(2 + 1 - 2) - 2*g + g + 2*g)*(-5*g + 5*g + 3*g) as b*g + p + j*g**2 and give j.\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1607836184?\nAnswer: 2, 37, 2063, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.082, 90, 3\/4?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2*3.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -2*p**7\/15 + 23*p**3\/3 - 33*p**2. What is the derivative of v(a) wrt a?\nAnswer: -112*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -n + 396. Calculate the remainder when 300 is divided by n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 16*j + 30. Let z be l(14). Solve -2*h + 16 = z*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 2*i**2 + 8*i + 8.\nAnswer: -2*(i - 2)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**6\/120 + z**5\/10 + 3*z**4\/8 - 2*z**3\/3 - 63*z**2. Calculate p(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*u + 4 = 0, -7*i - 4*u = -4*i + 2. Let h be (i\/(-3))\/(3\/(-6)). Factor 0*b + 0*b**2 + h*b**3 + 0 - 10\/3*b**4.\nAnswer: -2*b**3*(5*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2749982 to the nearest integer?\nAnswer: 1658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 600 and 660.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -292298?\nAnswer: -1\/146149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**3 + 15*c**2 - 26*c + 15. Let s(g) = 3*g**3 + 7*g**2 - 13*g + 7. Let d(t) = -4*p(t) + 7*s(t). What is the units digit of d(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*l = 4, -2*a + 2*l - 4*l = -16. Solve 2*b + 3 = 4*k + b, 0 = a*k - 2*b - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2170001 = -5*w, -4*s - 737115 = -w - 303111. What is w rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -24. Let k = -35 - q. Solve -2*a + 2 = 2*n, 0 = n + 4*a - 2*a + k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -28, -27, -26?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -3, 2, -4090, 3 in increasing order.\nAnswer: -4090, -4, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/945 and 62\/45?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38376?\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/12)\/(8\/(-12)) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - 3*t)*(-t - 4*t + 3*t + (1 + 3 - 6)*(2 + t - 2) - 3*t - t + 2*t + 70 - 70 + 4*t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10594, -10593, -10592, -10591, -10590, -10589?\n\"Answer: c - 10595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 18*b - 23. What is w(17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -5*w**8\/336 - w**7\/21 + w**6\/24 + w**5\/6 - 9*w**2. What is h in i(h) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/11 (b) 0.76 (c) 0.4 (d) -114 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y**3 + 23*y. Let w(j) = -5*j**3 - 11*j. Give 3*l(u) + 5*w(u).\nAnswer: 2*u**3 + 14*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 3)*(g - 3*g + 4*g) + (5*g + 5 - 5)*(-2 + 0 + 4) + 19 - 96*g - 46 + 26 in the form a*g + r and give a.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0027059 to 5 dps.\nAnswer: -0.00271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u - 4 + 77\/2*u**2 + 10*u**3.\nAnswer: (u + 4)*(4*u + 1)*(5*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51021, 101831, 152643, 203457, 254273, 305091, 355911?\n\"Answer: v**2 + 50807*v + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18081?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88034644199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -475, 4, 2 in decreasing order.\nAnswer: 5, 4, 2, -475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 128, 153, 196, 263, 360, 493?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 339641*l*x**2 + 1152*l*x + 6*x + 1 wrt x?\nAnswer: 679282*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - z. Let q(k) = -4*k**3 - 2*k**2 + 2*k. Calculate -2*l(s) - q(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -16.57.\nAnswer: -17.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/18)\/((-35)\/21)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22997 and 6553391?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21216?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1\/2)\/f))\/f)**10*(f\/(f*f**(-5)))\/f**(3\/4) assuming f is positive.\nAnswer: f**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-712)\/6)\/((-1)\/3). Suppose 4*i + 4*q = g, 2*q - 6*q = -5*i + 445. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - a3c60?\nAnswer: -a3c32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-20))\/(9\/30). Find the second derivative of 0*g**4 - 6*g - 7*g**4 + 2*g**b - 4*g wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(14\/(21\/(-3))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-1) + -36 + 36 + 4*1. Solve 3*n + 4*x - 10 = q, 3*n - 2*x = 4 - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((45\/63)\/(-5))\/((-1)\/(-2)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1284672 and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13085.252 minus -0.2?\nAnswer: 13085.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(425)*-2 + sqrt(425) + sqrt(425) - sqrt(425))**2 - (-2*2*sqrt(17) + -2).\nAnswer: -16*sqrt(17) + 431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007749545 to 4 decimal places.\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.276 - -0.076. Which is the nearest to 1? (a) 2\/13 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31761 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -28110a (base 15) to base 3\nAnswer: -10121220211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/3)*o)\/o)**(-42)\/((o*o**(2\/3))\/o**3))\/((o*(o**(-5)\/o)\/o)\/(o\/o**(-2\/15)))**(-4\/33) assuming o is positive.\nAnswer: o**(14092\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 6) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 691119 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 559\/24 (b) 0.05 (c) 2 (d) 2\/7 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.3, 5, 0.26, -5, -54263?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -696, 5, -2\/11.\nAnswer: -696, -2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.036 and -0.060953.\nAnswer: 0.124100308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 24 = -5*t, -39*t + 40*t - 2*o = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zffzzzfffzzfzuz. Give prob of picking 1 z and 1 u.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*n = -9, -54*n + 15 = 3*s - 57*n. Solve -q + 1 = s*p - 23, -3*p = -q - 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 4*o + 1. Let r be j(2). Let c = r - -11. Suppose -9 = 5*v + 4*i - 29, -3*v + 39 = -3*i. What is the smallest common multiple of c and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44\/16 + 1\/4. Let t(i) = 4*i + 9. Let o be t(-3). Put r, 2, o in decreasing order.\nAnswer: r, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63*-1\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)\/(s\/s**12))\/(s*s*s**(-2\/3)\/s*(s\/((s\/s**(1\/15)*s)\/s))\/s) assuming s is positive.\nAnswer: s**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Let c(o) = -o + 1. Let k(r) = 3*r - 14. Let f be 1 - -3*4\/12. Let x(h) = f*c(h) + k(h). What is x(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 2. Let n(r) = -r. Let h(t) = -6*t + 1. Let k be (8 + (-23 - -11))*1\/(-4). Give i*n(f) + k*h(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.5 - -203.5. Let n = -8048.12627 + 7866.125. Let y = n + p. What is y rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) - (-2*(sqrt(11) - (sqrt(176) - sqrt(11))) + sqrt(11)))**2*2.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17073\/(-28) + 4\/(-16). Let a be w\/2*24\/(-180)*3. Round a to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)*-1*-6)\/(sqrt(9)\/(-2*sqrt(3))).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361658695.\nAnswer: 5, 163, 443753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179924 divided by 2902.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.368796ml to litres.\nAnswer: 0.006368796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663337413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a. Let h(t) = 36*t**2 - 10*t**2 - 7*t**2 - 12*t**2. Give b(h(o)).\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 4*d**2 + d - 4. Let v be s(4). Suppose v = 2*p - p. Let b(f) = -f + 2. Let u be b(-2). Solve 2*n - 4*n + x - 11 = p, u*n = 5*x - 37 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 4*i - 36 - 52, -4*i = 2*l - 28. Suppose 0 = -11*f + 7*f + l. Let z = -2.2 - -2. What is the closest to -0.5 in f, 0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 0 + 0 + 4*a**2 - a**2 - 2*a**2 + (-2*a + 3 - 3)*(4*a - a - a) + (-2*a**2 + 5*a**2 - 4*a**2)*(-2 + 12 + 6) - 3 - 2*a**2 + 3.\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 753654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = s, -4*s + i = 21 - 8. Let d = 4 - -1. Let l(n) = 0*n + 4*n - 3 - d*n. What is l(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -14. Let s(w) = 8*w**3 - 5*w - 17. Let u(r) = 419 - r - 2*r**3 - 415 + 2*r. What is q*s(x) - 9*u(x)?\nAnswer: 2*x**3 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14306 is divided by 3573?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2\/5 (b) 4\/87 (c) 4 (d) 30 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8643564.\nAnswer: 2, 3, 163, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1645, -1606, -1497, -1282, -925, -390, 359, 1358?\n\"Answer: 6*w**3 - w**2 - 1650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 + 22*q**2 - 53*q + 38. Give z(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -154 + 525. Suppose -f + 4*y + m = -212, 4*y = 20. What is the greatest common factor of f and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1855113 is divided by 9561?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 3, b: 1, e: 4, g: 4}. Give prob of picking 1 c, 1 b, 1 o, and 1 e.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -63, 1\/3, 1, 29, 133?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 - -1.6. Let o be 14\/(-42)*(0 + 2). Let a = -0.1 - -0.2. What is the nearest to o in 2\/15, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqq when three letters picked without replacement from qqvvvvv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 times 6.84?\nAnswer: 177.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/5*(-99)\/132. Which is the third smallest value? (a) 0 (b) j (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22520 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.4. Let i = -3.01 - -0.01. Let a = i + 2. Sort 1, a, r in decreasing order.\nAnswer: 1, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500180 divided by 4.\nAnswer: 125045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - k + 25, k + 0*k = 3*d - 24. Let a(g) = 13*g**2 - 7. Let v(n) = -4*n**2 + 2. What is d*v(u) + 2*a(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 59*m - 4. Let w(p) = -4958*p + 335. Give 4*w(q) + 335*y(q).\nAnswer: -67*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1891.\nAnswer: 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynuyynynynnnuyn. Give prob of sequence nn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136538039 to the nearest integer?\nAnswer: 11685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 - 65. Solve -a*k + 9 = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9c36b + -a?\nAnswer: -9c377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02 and -1.149929034.\nAnswer: -1.129929034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000676453249 to 7 dps.\nAnswer: -0.0000676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*t - 54, -x - 2*t + 17 = -5*t. Calculate the remainder when 32 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54352 and 172.\nAnswer: 54352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oroe when four letters picked without replacement from rerecrffcrcrfcroocce.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 0*p**2 + 0*p**2)*(3503 - 3537 - 1612) + 3 - 5 + p**2 + p**2.\nAnswer: -3290*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -119, -411, -975, -1901, -3279, -5199?\nAnswer: -7751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49952610 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v**2 - 76. Let q(d) = 1813*d - 3328*d + 1514*d. Calculate q(z(g)).\nAnswer: -8*g**2 + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2052)*-3 + sqrt(2052))\/(sqrt(9)\/(-1*1*sqrt(3))))**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -36855.6\nAnswer: 1474.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151271027 by 6.\nAnswer: -151271027\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 806205 and -218.\nAnswer: 805987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/((-1587)\/(-204)) - (-2388)\/796.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -145622?\nAnswer: -14561c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-80)\/12 - -4)*3. Let r = -2 - i. Suppose 9*m + 12 = 12*m. Sort 2, m, r in ascending order.\nAnswer: 2, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, r: 2, s: 1}. What is prob of picking 4 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/6 + 6101*h\/2 - 1225994\/3.\nAnswer: (h - 133)*(h + 18436)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300508162?\nAnswer: 2, 127, 1183103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4 - 3. Let m(k) = -2*k - 16. Let z be m(-13). Let q = z + r. What is the remainder when 5 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(4235) + sqrt(4235))*4)\/(sqrt(20)\/(sqrt(20)\/sqrt(5))*-5).\nAnswer: 88*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.3941055 millennia?\nAnswer: 394.1055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 46 = -4*x, -31*s + 97 = -33*s - 13*x. Let b(z) = z**3 - 10*z**2 + 14*z - 44. Determine b(s).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*q + 4*o + 21, 5*q + o + 67 = 0. Suppose i + 0*i - 16 = 0. Let m = q + i. Solve -m = -a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56560727?\nAnswer: 6529, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 219833389\/18 - 12198438. Let v = d - 14535. Find the common denominator of v and 65\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44665239?\nAnswer: 3, 17, 51517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1490, -2979, -4468, -5957, -7446, -8935?\n\"Answer: -1489*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -96*n - 10736. Give p(-111).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 22495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10214, -10192, -10140, -10052, -9922, -9744?\nAnswer: -9512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-37))\/(416\/15392)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 44, -8, -2\/161 in decreasing order.\nAnswer: 44, -2\/161, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 163254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-124 - 1) + 6 + (5 - 6). What is the units digit of w\/36*3\/2 - -44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2912 smaller than -2992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-99)\/495 + (-4)\/5. Let b(g) = -2*g**2 + 3*g + 3. Give b(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*2\/12*-1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -94 greater than or equal to -2025030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 74, 1, 11, 2, -168 in descending order.\nAnswer: 74, 11, 2, 1, -2, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-172)\/(-444) + (-50)\/925)*3\/4. Factor -w + 1 + s*w**2.\nAnswer: (w - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - 0.2. Let o = -2 - -1.5. Which is the closest to s? (a) -0.1 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnnbp. What is prob of picking 4 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 100791*s**2 - 19006*s**2 + 27.\nAnswer: -119797*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3) + (0 - -4) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18824 - 18045 = 41*y for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or 0.8?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2 + sqrt(252) + -5)**2 + (sqrt(252) - (4 + -3*sqrt(252) - sqrt(252))**2)*4)*3.\nAnswer: -47808 + 2448*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/3 + 8996542*x\/3 - 20234441989441\/3 = 0. What is x?\nAnswer: 4498271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4368)\/(-176) - 6\/(-33). Suppose 50 = w - z. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 58. Suppose -i - 23 = -2*q, q - 3*i = r + 2. Let a(g) = 12*g + 1 + 2 - q*g. Calculate a(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1050)\/(6903\/(-289926))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20\/9*s**2 - 10\/9*s**5 - 4\/3*s**3 + 2\/3 - 26\/9*s**4 + 22\/9*s = 0.\nAnswer: -1, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3*(-8)\/(-396)*6)\/14. Is 0 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -19.9. Let x = a + -1.7. Let v = -0.4 - x. What is the second biggest value in 4, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzxkbbxzcbcbbzb. Give prob of sequence cxcx.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w + 2*w - 2*w)*(0 + 0 + 1) + 35*w - 10 + 10 + (-2*w - 2 + 2)*(-2 + 3 + 1) + 2*w - 2*w + w)*(-3 + 4 + 5).\nAnswer: 186*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 2 = 8*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n**2 + 9760*n - 3255 = 0 for n.\nAnswer: -651, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -1)*3)**2 - sqrt(108) - (3 + sqrt(108) + 0).\nAnswer: -120*sqrt(3) + 978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*d + 2*u, 0*d = -3*d + 4*u - 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 - 3*b**2 + 3*b**2)*(-2 - 4 + 5)*(31 + 6*b - 31 + (-2 + 1 + 0)*(b + 4*b - 4*b)).\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + 198*p - 1553. Determine a(9).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49450225 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/77 - ((-240)\/7 + 3). Let w be -34 + o + 3*15. What is the highest common factor of 28 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1256, 7201, 3 in decreasing order.\nAnswer: 7201, 3, -1256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36610 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209\/6 - -35. Let o = -2 - 0. Which is the nearest to 0.5? (a) t (b) o (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 3, 4, 15846, -2, 2 in decreasing order.\nAnswer: 15846, 6, 4, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4 + 0*c**2 - 2 + 6*c**2 - 1 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9)*10008\/(-278) - 0\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b**2 + 0*b**2 + b**2)*((0 + 2 - 1)*(3 + 3 - 2) + 0 + 1 + 1 + 4 + 1 - 1 + (2 - 2 - 53)*(6 - 3 + 0)) as n*b**2 + a + z*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 306472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-72)\/144 + 7\/2. Suppose -8*s - d*s = -3586. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q. Let t(x) = -8801*x**2 - 3*x - 19. What is t(n(l))?\nAnswer: -220025*l**2 + 15*l - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18787*-5.\nAnswer: 93935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssiscfickxiskss. Give prob of picking 3 s and 1 f.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2891*n + 43362. What is q(15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.25 + -27. Let j = x - 0.25. What is the nearest to -1\/2 in 1, j, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.28 (b) 762 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -y + 4*u, -11*u + 46048 = 46092 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/5)*f*f*f**(-3\/4) assuming f is positive.\nAnswer: f**(9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*x + 254*x - 14140 = 0 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b - 9 = 0. Solve 18 = -n - 4*f, -3*f - 2*f = -b*n + 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 1*(-38)\/(-2) - 1. Is 6 a factor of 2320\/72 - (-3 - 58\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 318734236*g - 161626479 wrt g.\nAnswer: 318734236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -6040.\nAnswer: 24160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m. Let p be a(1). Let r = 2 - -1. Put r, -3, p in increasing order.\nAnswer: -3, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/23))\/(m**(20\/7)*m*m) assuming m is positive.\nAnswer: m**(-607\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -3*w. Suppose 0 = -t + 22 - w. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -184 - -179. What is the closest to j in -4, 0, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-1 + -3 + 6 - 9 - 25)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 8. Let b be y(6). Suppose -4*z + z + 2*h = -15, -3*z = -4*h - 21. Which is bigger: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 215 - 223 - (-1 + -15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g = 14. Calculate the lowest common multiple of 3 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**6\/120 + 2*k**5\/15 + k**4\/3 + 2*k**3\/3 + 36*k**2. Determine j(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:50 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 8631880*y**2 - 17263772*y + 8631888.\nAnswer: 4*(y - 1)**2*(y + 2157972)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 24.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*n**4 - n**4 - 5*n**4 + (3*n - 3*n + 2*n**2)*(3*n**2 + n - n).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((40 - 43) + (0 - (-6 - (-11 - 3)))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.2 - 3.14. Let l = t - 3.0600246. Round l to 6 dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4 + sqrt(192) + sqrt(3) - 4*(sqrt(3) + sqrt(3) + sqrt(24)\/sqrt(8))).\nAnswer: -3*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15120557 to the nearest integer?\nAnswer: 3889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 6*h**2 - 2*h - 6. Give c(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.4 - -2.4. Let i = 0.24 - 0.17. Let f = -0.23 - i. Sort f, p, 0 in ascending order.\nAnswer: p, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 146*d**3 + 6*d**2 + 77*d - 46. Is b(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1152 times 0.6\nAnswer: -691.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a + 19. Let w(c) = -c - 5. Let t(j) = h(j) + 4*w(j). Let k(i) = -i**2 + 6*i + 1. Determine -k(v) + 6*t(v).\nAnswer: v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -9. Suppose 15*t - 24 = b*t. Suppose 2*p - 4*o = o + 7, 4*p - t*o = 21. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1176*g**3 + 727 wrt g?\nAnswer: 3528*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 + 114. Let f(g) = 35*g - 6. Let q be f(u). Let t = 158 + q. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, t: 1, v: 2, n: 1, g: 4}. What is prob of picking 1 n and 1 t?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/7)\/t*t*t**(-2))**(-44) assuming t is positive.\nAnswer: t**(748\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 35 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*c + 2, -4*l - 3*c = -3*l + 4. Suppose l*x - 3 = -2*p - 5, -5*p - 3*x = -1. Let j(q) = 4 - 1 - p - 3 - 4*q. What is j(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 152 + (142 - 151) - 83?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 192\/(-33) + -3 + 9. Factor -6\/11 + s*o**2 - 4\/11*o.\nAnswer: 2*(o - 3)*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224695 times -135?\nAnswer: 30333825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 4\/15363165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 6*y**2 - 6*y - 480. Let b(m) = -m**3 + 5*m**2 - 5*m - 480. Let t(n) = 6*b(n) - 5*o(n). Let c be t(0). Round c to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-112)\/(-4) - -2)\/((-6)\/(-8)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/6, -2, 0.3, 0, 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sic when three letters picked without replacement from cxcxiccscccscxis.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -920 + 455*i + 5\/2*i**2.\nAnswer: 5*(i - 2)*(i + 184)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*t - 1)*(4 - 4 - 7).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2244, -2423, -2602, -2781, -2960, -3139?\n\"Answer: -179*a - 2065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*a + 3. Let n = a - -5. Let s(d) = -d**3 - 7*d**2 + 9*d + 10. Let v be s(-8). Solve u - n = -v*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgkgiwwwik. Give prob of sequence wik.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/171444 and -59\/340158.\nAnswer: 106809612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1100?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/4 - 93*j\/2 - 185\/4 = 0.\nAnswer: -185, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 19*n - 8*n + 35*n - n - 6*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -88*q**2 - q. Let t(v) = -8*v. What is a(t(z))?\nAnswer: -5632*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 3759*q - 649566.\nAnswer: -3*(q - 1046)*(q - 207)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1221616\/689 at most as big as -1774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 368, 206, -208, -994, -2272, -4162, -6784, -10258?\nAnswer: -14704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*d + 4*f + 96, -3*d + 5*f + 142 = 0. Suppose 2*j + 0*j - d = 0. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = w - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2496)*3 + sqrt(39) + sqrt(39))\/(-2*sqrt(12)\/sqrt(4)) + ((sqrt(104) - -6*(sqrt(104)*2 + sqrt(104)))\/((sqrt(56)*1 + sqrt(56))\/sqrt(7))*6)**2.\nAnswer: -13*sqrt(13) + 42237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) - sqrt(4)\/sqrt(2))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13016 = 3*o + 21*y - 22*y, o = y + 4336. Suppose -125*x = -120*x - o. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a day in minutes?\nAnswer: 13248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-4 - (2 - 7))) + -550 + 649\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10466\/(-4)*-12 + 0 + 2. What is the tens digit of 5\/(-2)*f\/(-250)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 13*x - 4. What is the least common multiple of 40 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m**2 + 2 - 2.\nAnswer: 35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 10:47 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 364\/9 (b) -5\/18 (c) -0.2 (d) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.8 - 18. Which is the second biggest value? (a) 2 (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*c - 40*c + 1102 - 8362 = 92*c for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f**3 - 1263*f**2 + 155*f + 315. Determine k(-158).\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5, 0 in descending order.\nAnswer: 21, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 12 = 3*p, 7*z + 402 = 4*p + 386 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 153 (b) -1\/3 (c) 9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135170?\nAnswer: 2, 5, 7, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119\/568 - 6\/71. Sort -0.19, u, 2 in descending order.\nAnswer: 2, u, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 2*s - 2. Suppose -y + 6*y - 25 = 0. Let w be m(y). Calculate the common denominator of w\/(-16) - (-2)\/1 and -17\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.25*-2.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 40 = -0. Let w(c) = -h*c**2 - 9*c**2 + 20*c**2. Let x(l) = 4*l - 14. Give x(w(s)).\nAnswer: 4*s**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 146 - (-829 + 960)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1408 and 768.\nAnswer: 8448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*(-4550)\/728\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + v + 8 - 4 + 5*v. Let o be n(-6). Suppose -o*w = w - 60. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**2 - 33*u - 198. Give z(-9).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 12*p + 2. Let w = -97 - -97. Let q be u(w). Put q, -17, 1 in ascending order.\nAnswer: -17, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 553 and 6873?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/1886 + -112181\/67896. Let p = 6928 + -55383\/8. What is the common denominator of p and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -751 - -1136. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -359 - -569. What is the greatest common factor of 560 and h?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125094, -124988, -124818, -124590, -124310, -123984, -123618, -123218?\nAnswer: -122790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**0*l))**(-3\/2))**11*((l\/((((l\/((l\/l**1)\/l))\/l)\/l)\/l))\/(l\/(l*l*(l*l**6)\/l)*l))**(-2\/23) assuming l is positive.\nAnswer: l**(-16\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 8*k = -117. Let u = -57 + k. Is (-7674)\/u - 2\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v + 8*v. Let h = 0.21 - 0.01. What is the nearest to h in 0.3, v, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1734)\/(-357))\/(6\/(-21))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*o + 43*o = 414. Let d be (-2 + o\/6)\/(3\/(-8)). Solve -d = 3*k - 48 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.2 or 5.25?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(((f*f\/f**(-1\/5))\/f)\/f*f)\/f)\/(f**(-6)*f*f))**(-24\/7)\/((f*f**(2\/5))**(1\/29)*f**(-1\/2)\/f*f*f*f**(-7)) assuming f is positive.\nAnswer: f**(-4619\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*p*q**3 - p*q**2 - 2*p*q + 46*p + q**3 - 3*q wrt q.\nAnswer: 168*p*q - 2*p + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 40\/8773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/17)\/(w\/(w\/(w*(w*w*w**(-21)*w)\/w*w))) assuming w is positive.\nAnswer: w**(293\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -24*r**3 - r**2 + 75*r - 75. Give q(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -655 + 790. Calculate the smallest common multiple of 105 and d.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/123 or 0?\nAnswer: 1\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -12, -1\/8, 1\/4, 47 in decreasing order.\nAnswer: 47, 5, 1\/4, -1\/8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 14, f: 4}. What is prob of sequence fjfj?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.066 (b) 3 (c) 9 (d) 3\/4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 3*v - 41. What is o(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f + 1 - 3)*(-3*f**3 - 2*f**3 - f**3).\nAnswer: -12*f**4 + 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-2)*4\/(-4). Suppose j = -3*y - w*y + 37, 0 = 4*j + 2*y - 94. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111096440 divided by 455\nAnswer: 244168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - x**2 + x - 1. Let n(i) = -67*i**4 + 4*i**3 - 4*i**2 + 107*i - 4. Let y(f) = -4*j(f) + n(f). What is the second derivative of y(l) wrt l?\nAnswer: -804*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22a8d8 - 2?\nAnswer: 22a8d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from ibiyb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9256 and 728.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -220\/7 + 31. Let j = -43 - -60. Let f = -16.86 + j. Sort t, -0.2, -1, f in increasing order.\nAnswer: -1, t, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 - 106 + 115 - 126 + 51*j**2 + 23*j.\nAnswer: 51*j**2 + 23*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 176*u. Let q(s) = 153180*s. Calculate k(q(n)).\nAnswer: 26959680*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 22*l - 27*l - 31, 34 = -3*t - 2*l for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y**2. Let s(v) = 4*v**2 - 3. Let g(t) = -5*t**2 + 2. Let q(x) = 3*g(x) + 2*s(x). Calculate q(i(m)).\nAnswer: -252*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3752 = 2*h + 5*q, 8*q - 9*q - 1876 = -h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 16)*((-27)\/(-21))\/(-9)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 - 29*k**2 + 0*k**3 + 25*k**2 + 111*k**2.\nAnswer: -4*k**3 + 107*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/3 - 112636*t**3\/3 + 1534711034*t**2\/3 + 480087746984*t + 109002900854616 = 0. Calculate t.\nAnswer: -447, 28606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507*j - 7694 = -304*j + 86*j + 5356 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193588 divided by 1006.\nAnswer: 96794\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*m**2 + 21*m + 34*m - 55*m - 897*m**2 + 552*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 51\/5 of a hour?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 6.83.\nAnswer: 0.2049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 2:41 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -40) + (307 - 395)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007 minus 16826?\nAnswer: -16826.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)*3*-1.\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = c + 138, -j - 81*c + 82*c + 33 = 0. What is the remainder when 38 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33613, -71434, -109255, -147076, -184897?\nAnswer: -222718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 14*j**2 - 33*j**2 + 5*j**3 - 4*j**3 + 2 as w + v*j**2 + s*j + x*j**3 and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6302.3 - 6316. What is the second biggest value in -8, f, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}