diff --git "a/data/dm_maths/full_data_1/10431_11255.jsonl" "b/data/dm_maths/full_data_1/10431_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10431_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -1303441100 (base 5) in base 15?\nAnswer: -42e485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*i**2 + 3 - 307*i**2 - 1 + 34*i**2.\nAnswer: -564*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -81. Let n(z) = -124*z + 1372. Let m be n(11). What is the greatest common factor of m and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -694.481853 * 0.5\nAnswer: -347.2409265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -5*g**4\/12 + g**2\/2 + 3*g. Let i be y(1). List the prime factors of i*-5*(-3)\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1245, 2626, 4007, 5388, 6769, 8150?\nAnswer: 9531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 366406354*u**2 - 4*u - 20961326?\nAnswer: 732812708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 1\/60*h**5 + 0 + 3*h**2 - 2\/3*h**3 - 1\/24*h**4 + 0*h. List the prime factors of x(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-three fifths of a week?\nAnswer: 66528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*c = 10, s - 14*c = -11*c + 2. Suppose -s*i = r - 2*r - 1012, 0 = -r + 4. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*j**16)\/j)\/j)\/j)\/j)\/(j*j**(15\/2)) assuming j is positive.\nAnswer: j**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, o: 7}. Give prob of sequence wow.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(243) + 3 + sqrt(243)).\nAnswer: 18 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637\/53860 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**2 + 319276*x + 957864 = 0.\nAnswer: -3, 79822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -480*i**3 + 18*i**4 - 2*i**5 - 2048*i + 34*i**4 - 8741*i**2 + 10533*i**2.\nAnswer: -2*i*(i - 8)**3*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*(sqrt(12)\/sqrt(4) + sqrt(3)) - sqrt(3)) + sqrt(192) + -5.\nAnswer: -5 + 63*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 556697 * 0.4\nAnswer: 222678.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58726 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -68*p**3 - 54*p**2 + 20*p - 9. Is b(-6) a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 3*q**5\/5 + 77*q**4 + 1359*q**2\/2 - 800. What is the second derivative of r(u) wrt u?\nAnswer: 36*u**2 + 1848*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*j + 3*h + 28, j + 5*h = 6. Let f be j\/(-4)*24\/18. Which is bigger: f or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + v**2 + 4. Let s be l(0). Differentiate -9*h**2 + 14*h**2 - h**s - 9*h**2 + 4*h**4 - 4 wrt h.\nAnswer: 12*h**3 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111 - 11110100?\nAnswer: -100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -871 + 949 - (0 + 35).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 10*b - 22. Let p be v(-11). Differentiate -p + 17*m - 457 + 897 with respect to m.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q = 4*u - 276, u = 4*q + 75. Suppose -u = -4*s - 2*g + 53, 4*s + 4*g = 112. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*d = 8, 3*d - 8*d + 50 = 10*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 281 (c) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 157?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/11)\/m*m**(9\/4))**(-2\/47) assuming m is positive.\nAnswer: m**(-95\/1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 34*m = 24633. Suppose m = 5*q + 417. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 155 and 837?\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = -22*b + 28. Let v(u) = 3*u**2 - 10*u + 7. Let h be v(b). Let o = h - 34. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-140) - 45639\/1980.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-26)\/p)**(1\/4) assuming p is positive.\nAnswer: p**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8668 + 8668 - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 11) + (7 - 2) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -352*b + 133. Let n(d) = 176*d - 68. Let s(i) = 2*g(i) + 5*n(i). Is 8 a factor of s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f**2 + 4*f**2 - 5*f**2)*(-f - 2*f + 0*f)*(2*f - 2*f + f).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/23464*(-8)\/3. Let k = -372515\/17598 + y. Calculate the common denominator of k and 103\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - 7. Let i = h - -146. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*m**4 - 893*m**4 - 146*m**4 + 0*m**4 + m**4 - 3*m**4 + (-2 + 2 - 2)*(2*m**4 - 3*m**4 + 2*m**4) + 2*m**4 - 3*m**4 + 4*m**4.\nAnswer: -1089*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000483 to five dps.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25018 and 26.\nAnswer: 325234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -12, -6*g = 5*q - 3*g - 504. Solve -q*y + 25 = -104*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -80 - 1?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 5511213?\nAnswer: -5511204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.167 - -0.022649034091?\nAnswer: 0.189649034091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567095 + 165*l**3 - 567095.\nAnswer: 165*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*o + q, -1 = -3*o + 4*o + q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h + 4. Let a(m) = -8*m - 7. Suppose 0 = 5*l - 0*n - 2*n - 4, -l - 2*n - 4 = 0. Suppose l = -36*z - z + 185. Give z*g(r) + 3*a(r).\nAnswer: -4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 2:57 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1440)\/(-640)*(-16)\/30*(-5)\/1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + (-19 - (-2 + (9 - 2)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-234)\/1443)\/((36\/(-54))\/(12\/(-90)*-5))?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 460 + -457. Suppose -j + t = -9, -t + 7 = h*j - 0*t. Solve -12*p = -j*p + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*f - 135 = -92*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 2*j**5\/5 + 25*j**4\/4 - j**2\/2 + 10*j + 64. What is the second derivative of q(n) wrt n?\nAnswer: 24*n**2 + 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -550128, 1, -1\/6 in descending order.\nAnswer: 1, -1\/6, -5, -550128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 l when three letters picked without replacement from {i: 2, l: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52219 is divided by 272?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (4 - (2 - 3)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3124 - 2790. Is y equal to 334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816 = 327*z + 13569 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*o**3 - 21*o**3 - 802*o - 3*o**2 + 933*o to m*o**2 + j + q*o + v*o**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 3*x**2 + 5*x + 2. Let i be c(4). Let y be (-2)\/3*i\/(-2). Put 0, 3, y in decreasing order.\nAnswer: 3, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 18583042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 15*x**2 - x + 15. Let t be y(15). Which is greater: t or -2\/87?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1078, -1077, -1076, -1075?\nAnswer: -1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -165346 (base 8) to base 15\nAnswer: -12c3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 15) + -2 + -22 + (72 - 62).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 29 - 25 = 0. Differentiate 11*g**2 + r*g**2 - 19 + 5*g**2 wrt g.\nAnswer: 50*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 16 and -1470023102443.\nAnswer: -1470023102427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d + 16. Let a be (7 - d)\/(6\/4). Is 2 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 1010*c**2 - 334*c - 12. Let o(u) = 6060*u**2 - 2010*u - 68. Let a(x) = -34*g(x) + 6*o(x). What is the second derivative of a(b) wrt b?\nAnswer: 4040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*u + 5*b + 4, 2*b - 16 = -5*u. Let t = 281.3 + -278.3. Put u, -5, t in increasing order.\nAnswer: -5, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 - 14*j - 9. Let x be q(-9). Let r = 124 + x. Let v(l) = -l**2 - 13*l + 1. Let y be v(-13). Which is the nearest to y? (a) r (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a - 15. Let x be ((-1)\/(-2))\/((-4)\/(-88)). Suppose 16 = 2*q - 2*d, 4*d = -5*q + 65 + x. Solve 4*l - 12 = -a*v, -q = -2*v - v - l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - -46. Let n = -67 + k. Does 16 divide n\/18 - 1*569\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 109 = 11. What is the lowest common multiple of u and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (sqrt(243) - (-1 + 0 + sqrt(243))**2)) + (sqrt(243)*2 + -1)**2.\nAnswer: -54*sqrt(3) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 3*b + 112. Suppose -63 = -5*q - 18. What is the remainder when b is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from pppsppssspss?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1130, 1594, 1384, 494, -1082, -3350, -6316, -9986?\n\"Answer: -k**3 - 331*k**2 + 1464*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2923418, -11693703, -26310842, -46774829, -73085658?\n\"Answer: n**3 - 2923433*n**2 + 7*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64392456.\nAnswer: 2, 3, 23, 31, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 130*p**3 + p. Let b be c(1). Let r = -119 + b. What is the lowest common multiple of 14 and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-3)*228\/76.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002130139 to seven dps.\nAnswer: 0.0000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1312888, -2625726, -3938564, -5251402, -6564240, -7877078?\nAnswer: -9189916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5267.8003 rounded to the nearest ten?\nAnswer: 5270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 316*o**3 + 6*o**2 - 6*o - 1. Let y(f) = -f**3 - f**2 + f. What is -6*y(h) - z(h)?\nAnswer: -310*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 676 and 845.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 29*g**2 + 93*g - 30. What are the prime factors of i(-21)?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 + 12*q**2\/7 + 3434*q\/7 + 3420\/7.\nAnswer: -2*(q - 45)*(q + 1)*(q + 38)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 - 72*x - 208. Calculate c(26).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + (-1 - -1) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15633078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0104937805 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 3, 4\/7 in ascending order.\nAnswer: -1, 4\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2051598*n**3 - 2051608*n**3 - n + n.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpto when four letters picked without replacement from tpqppoh.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121 * -0.5.\nAnswer: 60.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6)*(2 + -4 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/5)\/(65\/(3250\/(-20)))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtc when three letters picked without replacement from {r: 3, t: 6, c: 4, k: 2, i: 3}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 160 = -3*u, -2*u - 99 - 36 = -n. What are the prime factors of n?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 236.737 * -4\nAnswer: -946.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 1:09 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 91 + (4\/(-4) - 1). Suppose c + 16 = 5*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*l + 16, 3*c + 5*l - 32 = -c. Let r be (-1)\/4 - (-2)\/c. Suppose r = 2*g - 3*z - 116, -z = -3*z. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 491 + 157. Suppose -z = -6*o + 3*o. Calculate the smallest common multiple of o and 6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 21*s**2 - 98*s + 39. Calculate y(-25).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6550)\/38)\/25 + 7\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 + 99\/5*k**2 + 108\/5 + 192\/5*k = 0. What is k?\nAnswer: -18\/5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8411532 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 703234753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*v - 34, -3*v = -3*i + 5*i - 29. Let a be -3 + i + (-6)\/3. Let 20*t**3 - 4*t**2 - 17*t**3 + t**a = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8203 is divided by 304.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 471452 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 774910 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i - 3 = 0. Is 20 a factor of 2 + (-5 + i)*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2832 + 3004. Calculate the remainder when c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 189*j**2*m**2*o**2 + 4*j**2*m + 9*j**2 + 6*j*m**2*o + 7*m**2 + 60*m*o**2 wrt m?\nAnswer: 378*j**2*o**2 + 12*j*o + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 5. Let z(m) = -3*m + 4. Let u(v) = -6*n(v) - 5*z(v). Let o be u(-4). What are the prime factors of o\/(-12) + 775\/30?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(2 - 1 + 0) - 6 + 2 + 3)*(0*p - 31*p + 6*p) + 0*p + 21*p + 7*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88175158 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - 198. Let b be (-2)\/(-4) + c\/(-6). Let k be 2\/(-7) - (-180)\/b. Solve 6 - 14 = k*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369628524 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16616, -33019, -49424, -65831, -82240?\nAnswer: -98651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002140486 rounded to seven decimal places?\nAnswer: 0.0000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138878, -277774, -416676, -555584, -694498, -833418, -972344?\nAnswer: -1111276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by 5091396.\nAnswer: 41\/2545698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 6:23 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111474.\nAnswer: 2, 3, 11, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (69 + -21 - 33) + (6 - (122 - (-6 - 0)))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56275.31153 rounded to the nearest 1000?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g + 23. Let y be l(-16). Suppose -649 = -20*b + y. Suppose -4*d - 5*z = -53, -3*d - 7 + b = -3*z. Solve d = w + 2*m - 6*m, 3*w - 4*m = 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**3\/3 + o**2 - o + 4. Let z be y(-3). Solve -z*u + 15 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 77*m - 486. Determine v(44).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -0.5, -3, 0.3.\nAnswer: -3, -0.5, 0.3, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9*(-2)\/(-5)*(-40)\/48. Let s(t) = 5*t + 3. Let l(b) = 4*b + 3. Let m(k) = 6*l(k) - 5*s(k). What is m(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y - 1. Suppose 2*m + m + 39 = 0. Let r be m - 3 - (-2)\/1. Let q(x) = x. Let o(i) = r*q(i) + 2*d(i). What is the derivative of o(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 21*a**2 + 5*a - 5. Let r(h) = 32*h**2 + 8*h - 8. Suppose 3*w + u - 11 = 2*u, -4*u = 3*w - 31. Calculate w*r(z) - 8*p(z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-28)\/(-36))*1\/15.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 42*n. Let y(j) = -8*j - 11. Let g(z) = -3*z - 4. Let l(u) = 11*g(u) - 4*y(u). Give l(t(v)).\nAnswer: -42*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1539, -6207, -13997, -24915, -38967, -56159, -76497?\n\"Answer: -y**3 - 1555*y**2 + 4*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -18. Let p(q) be the third derivative of -j*q**2 + 0*q**3 + 0 + 0*q - 1\/12*q**4. Let l(z) = 3*z. Determine p(l(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 22*o**2 + o + 24. Suppose -165*l = -158*l - 35. Suppose -133 + 23 = l*w. What is n(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1700\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 - -2240320?\nAnswer: 2240401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 36*p - 6. Let j be s(-2). Let o = j + 1247\/16. Calculate the common denominator of o and 37\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2564 = 4*w + 5*i, 6*w - 2*w + 3*i + 2572 = 0. Let g = w + -3354. What is g rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = -35*o - 5*o - 440 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*a + 5 + 2*a + a - a + (-3 - 2*a + 3)*(-2 + 1 + 0) + 5*a + a - 4*a - 4 + 5 - 3 + a)*(10 + 0 - 8 + (-2 - 2 + 3)*(-2 - 5 + 5)).\nAnswer: 36*a - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 3. Suppose 5*i - 22 - 23 = 0. Let a(o) = -o**2 + 9*o - 3. Let b be a(i). What is d(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -103, -96, -89?\n\"Answer: 7*t - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 14. Suppose -12*l = -n*l - 158. Let t = -104 - l. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzxx when four letters picked without replacement from ffffzfzxfffzzxzf.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k + 3*a - 27, 4*k = 4*a + 4. Suppose 0 = -2*s + k, 8 = -3*m + 5*s - 1. Solve m*h = -7 + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 - 7. Let h(j) = 217*j. Calculate f(h(v)).\nAnswer: 141267*v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/12207 and -103\/624?\nAnswer: 195312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t + 71. Determine k(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2148)\/(-60) + (-2)\/(-10). Suppose 3*t + y - a = 0, 4*t - 5*y - 10 = 38. What is the remainder when 21 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (218\/(-3))\/((-2)\/6). Suppose -x + 245 - 820 = 4*u, 2*u + 283 = -5*x. Let n = j + u. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8\/7 + 58\/63. Which is the third smallest value? (a) 0.1 (b) -11 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 2*k**2 + k + 13. Let s be i(-21). Suppose s - 781 = 6*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + 1 + sqrt(968) + sqrt(48)\/sqrt(6)*2)*-4)**2.\nAnswer: 896*sqrt(2) + 25104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**2 + 5*x**2 + 4*x**4 + (1 - 1 - x)*(-7*x**3 + 2*x**3 + 4*x**3).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 17*l**3 - l. List the prime factors of v(3).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c**2 - 12133*c - 11864*c + 23997*c.\nAnswer: -17*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + -2 + (sqrt(2736) + 1 + sqrt(2736) + sqrt(2736) + -1)**2 + ((sqrt(2736) + 3*(sqrt(2736) + -1))*4)**2).\nAnswer: -23040*sqrt(19) + 3625915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -13 - 16 + p + 20 - 5. Let v = 557 + -546. Give c(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.9 + -14. Let j = 7683.3 + -7683. Which is the biggest value? (a) j (b) 18\/5 (c) s (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + (-52 - -43).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 4*f + 74, -125884*f + 74 = -125896*f - 2*i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 592 = 655, 0*w - 5*n = w - 103 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 11*b + 1. Let o be l(11). Suppose 0*y + 3*f = -2*y - o, -4*y = 3*f - 7. What is the greatest common factor of y and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2838 + 46350008\nAnswer: 46352846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*v**4 + 650*v**3 + 8*v**2 - 8804*v?\nAnswer: 72*v**2 + 3900*v + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7935149*g - 7020172.\nAnswer: 7935149","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**5\/30 - 2*l**4\/9 + 5*l**3\/9 - 2*l**2\/3 - 5*l. Factor i(t).\nAnswer: 2*(t - 2)*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - -1*sqrt(320))**2*5.\nAnswer: 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 4)*((3*a - 4*a + 4*a)*(-a**2 - 3 + 3) + 57045*a**3 - 115392*a**3 + 53923*a**3) to u + f*a**2 + x*a**3 + d*a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(2*l - l - 3*l) + 0*l - 2*l + 3*l)*(135*l**2 - 12317 + 12317)*(2 + 2 - 3)*(-3*l + 2*l - l).\nAnswer: -1350*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -740*f - 984*f - 4251 = 967*f + 6513 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30846, 30847, 30846, 30843, 30838, 30831, 30822?\nAnswer: 30811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2703*y + 2692*y - 44 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (-14 - 33031)\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 7*u - 9. Let c be b(-9). Let q be (-4)\/(-18) - (-2 - 1105\/c). What is the first derivative of 0*r**3 + 0*r**3 + 34*r**4 - 143 + q wrt r?\nAnswer: 136*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 18*w + 105. Let d(m) = m + 8. Let l(k) = -13*d(k) + i(k). Let b(h) = -20*h - 5. Determine 6*b(n) + 25*l(n).\nAnswer: 5*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -139, 3 in increasing order.\nAnswer: -139, -13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*f - 26 + 2. Suppose 0 = -3*n - 0*n. Suppose 3*p - 5*p + 10 = n. Solve l - d = p, 4*l - 6*l = d + f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 696.9674kg?\nAnswer: 696967.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 13080.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100101011011 - -100?\nAnswer: 100100101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1261 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - (-8 + 6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(121) - sqrt(121)*4))\/(sqrt(88)\/(sqrt(8)*1)) + ((sqrt(539) + 1)*5 - sqrt(539))*1*1.\nAnswer: 5 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 2:13 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 17*w. Suppose 2*f + 318 = 6*f - 3*s, -2*s - 160 = -2*f. Let d(g) = -154*g + f*g + 77*g. Give d(a(p)).\nAnswer: 17*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (35 - 9) - -22 - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101010 - -1011011?\nAnswer: 1001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 233009427?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 61718048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4904 to the nearest 100.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 5)*(-3*l - l - 4*l) + (-12 + 12 - l)*(5 - 3 - 1) in the form v + k*l and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yafoyzf. Give prob of picking 1 o and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 8*q**2 - 2*q + 8. Let r be m(8). What is the smallest common multiple of 3*7 + r\/8 and 9?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/3)\/(6\/(-9)). Suppose m*t = 5*t + 80. Let q = 19 - t. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Let w(k) = -k**2 + 0*k + 6 - v*k - 4*k. Let c(p) = -p**3 - 2*p**2 - 3*p - 2. Let f be c(-2). Let h(s) = s - 1. Give f*h(b) + w(b).\nAnswer: -b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-6) + 0)*(-5 - 681). Suppose -2*v + 1651 = 379. Let a = v - k. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 102, 106, 16, -222, -662, -1358, -2364?\nAnswer: -3734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*v - 9568 = 230*v. List the prime factors of v.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -883*w + 5567. Give x(7).\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4037.994 - -4042. Let r = j + -0.006. Which is the nearest to 0? (a) r (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*x - 952, 0*x + 5*n - 593 = -2*x. Suppose v = 2*v - 3*f - 274, v + 4*f - x = 0. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2094\/(-4))\/(5 - 138\/24). Suppose 1610 = 700*w - h*w. Is 35 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 430.885 centuries?\nAnswer: 43088.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*u - 3*u**2 - 21*u + (0*u + 0*u + 2*u**2)*(1 + 0 + 0).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, u: 4, b: 3}. Give prob of picking 1 b, 2 u, and 1 v.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -11. Suppose -c*m = -3*g - 86, -16 = -m + 2*g + 8. Calculate the remainder when 77 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(90)\/sqrt(10)*2))\/(5*(5*sqrt(88) - sqrt(88))\/sqrt(11))*-3.\nAnswer: -3*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d + 125 + 100. Let b = -21 - d. Suppose b*z = -6 + 2, z - 894999 = 5*a. Round a to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 8 = 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 23414433?\nAnswer: 280973196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8 - 7 - 32*f + 2 + 5 wrt f?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -416 - 4*g + 5*g + 143 + 136 + 135. Let c be (-6)\/(-15) - 16\/(-10). Suppose 2*w - c*t - t - 2 = 0, -5*t = -4*w + 6. What is m(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 + -1.48. Let t = 0.5 - u. Let n = 0.22 + t. Put 5, 4, n in increasing order.\nAnswer: n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 43*d**2 + 3354*d - 3357*d - 116*d**2 as x*d + h + o*d**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97.96 - 75.581. Round a to one dp.\nAnswer: 22.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z*z**(1\/12)*z*z)))\/(z\/(z**0\/z*z)) assuming z is positive.\nAnswer: z**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.302652 to 2 decimal places.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/441*16\/8.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476860 is divided by 79476.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 66915?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 + -1.07?\nAnswer: 245.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 15, r: 3}. What is prob of picking 3 t?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 82, 203, 300, 361, 374?\n\"Answer: -2*f**3 + 135*f - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28150 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -958480036.4665 - 0.1.\nAnswer: -958480036.5665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 3*d - 7 + 2*d**2 + 0 + 2. What is the tens digit of p(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2753*l + 598*l = 867*l - 151100 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8024, -31842, -71540, -127118?\nAnswer: -198576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 14*d**2 + 13*d + 18. Let m = -9 + 3. Let z(q) = q**2 + 7*q - 7. Let b be z(m). What is the smallest common multiple of y(b) and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3768 + 519 = 3*d, 0 = -d - 1. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 79.4 and 0.08?\nAnswer: 6.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(((-4)\/(-158))\/(-1)). Let v = -37 - w. Suppose -2*r + 6*r + 14 - 74 = 0. What is the remainder when v is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296991 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19\/3 (b) 1\/4 (c) -0.2 (d) -0.104 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 170 = -3*z + 661, 5*z - 2475 = -5*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9232 and 20?\nAnswer: 46160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7091449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 948636?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 4*x + 5 - x. Calculate the remainder when 6 is divided by g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 1569935316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 0, 15073, 4, -0.27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(114)\/(1*sqrt(6)))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**2 + 1240*c + 27804 = 0.\nAnswer: -21, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105.14 - -105. Let o = -0.34 - k. Which is the third smallest value? (a) -0.3 (b) 0.4 (c) -3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -23*s**5\/60 + s**4\/4 - s**3 + 2*s**2 + 69*s + 7. What is w(1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -516 - 2*u**2 + 518 + 1193 + 1157*u + 1296 + 170 wrt u.\nAnswer: -4*u + 1157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -112, -596, -1674, -3568, -6500?\n\"Answer: -37*n**3 - 75*n**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*n**2 + 506*b**2*n - 2*b*n**2 + 16*n**3 + n wrt n?\nAnswer: 6*b**2 - 4*b + 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 3*b**2 + 4*b + 2. Let o be m(4). Let j be (-1 - 7\/1) + o. Let l = j + 12. What is the least common multiple of l and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.5281 - -6709.4719. Which is smaller: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 2*q. Let t(z) = 2*z**2 + 11*z - 2. Let o be t(-6). Suppose 13 = o*y + 1. Let d be x(y). Solve -4*a + 2*p = -6, -d*p = -5*a - 6*p + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 6198.\nAnswer: 49584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 15, n: 4}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 180 = -0*c. Find the common denominator of -59\/4 and 3 - c\/(-8)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*u = -403*u - 51790. List the prime factors of u.\nAnswer: 2, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3*p - 17 = -0*j, 4*j - 2*p = -4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s. Let x be o(0). Suppose 5*g - 18 - 57 = x. Suppose -t = -6*t - g. Sort -0.3, t, 0.1 in decreasing order.\nAnswer: 0.1, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*k**6 - 69012*k**4 - 26*k**2 + 3497726*k?\nAnswer: 5040*k**3 - 1656288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 184, 329, 388, 313, 56?\n\"Answer: -8*k**3 + 5*k**2 + 186*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-3)*(-15)\/2*2 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1648525434 to the nearest integer?\nAnswer: 40602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 5, -5 in increasing order.\nAnswer: -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*((sqrt(32) - (sqrt(32) + sqrt(3872))) + sqrt(32) - sqrt(2)) + 4)**2.\nAnswer: -215232 + 5248*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170024?\nAnswer: 2, 53, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 0)*(-v**2 + 2*v**2 - 2*v**2)*(0*v + 0*v - v).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123068 + 222711. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 18*l + 73. Determine y(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**5\/30 + 7*b**2. Let m(k) be the first derivative of -19*k**2\/2 + 4. Determine f(m(r)).\nAnswer: 722*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3169 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: Calculate the smallest common multiple of 51 and 4042.\nAnswer: 206142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 1638?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 604\/6 + 2\/(-3). Suppose 4*c = -20 + i. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*x = -160, 6*x = -o + 2*x + 51. What is the remainder when o is divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57332 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28926447019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217 and 547119?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/662013 and 47\/11.\nAnswer: 662013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + v)*(6*v**2 - 4*v**2 - 3*v**2) + (-3*v**2 - v**2 + 2 + 0*v**2)*(2*v + 4*v - 3*v).\nAnswer: -13*v**3 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1 - r**2 + 10*r**2 - 10*r**2 - 6*r. What is z(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26767 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(176)).\nAnswer: -18 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38472497 - -3154821587\/82. Let f = 937 - y. Is 1 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + 1 - 1)*(5 - 51 - 1) as m*n + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3091 - 3090.997467. Round z to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 203, -3, -659, -19.\nAnswer: -659, -19, -3, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 816247 and 15341?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-1 - (9 + -9). Let f(a) = -12*a**3. Let l be f(v). Is l not equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a kilogram in grams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16183 - -48859. What is the ten thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49369?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65055 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.03 - 0.03. Let g(b) = b**2 + 7*b - 8. Let d be g(-8). Sort d, p, -2\/9 in increasing order.\nAnswer: -2\/9, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - 83. Let d = -535\/6 - m. Find the common denominator of 77\/2 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -27. Solve -5 = 3*j - 5*d - 0, a*j + 18 = d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310 = 126*i - 446 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 16192010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337, 568, 807, 1060, 1333, 1632, 1963?\nAnswer: 2332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v - 2. Let c(a) = 7*a - 2. Let r(h) = -4*c(h) + 3*l(h). Let d be r(-4). Suppose 5*g = 2*g + d. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9 + 7 - 23 + 4 - 21*c. Let f be n(-2). Calculate the highest common divisor of 195 and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 5. Let r be x(-5). Let k(z) = -z**2 - 12*z + 14. Let l be k(-13). Which is greater: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5612)\/23*(-46)\/8. Suppose 4*z - 4077 = v. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n - 2*n - n**2 - 4*n + 1. Let p(c) = 4*c**2 + 3*c + 1. Calculate -3*d(h) - p(h).\nAnswer: -h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 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: Let k = -0.384 + -16.516. Let f = -17 - k. Let n = -46\/7 + 7. Which is the nearest to 1? (a) f (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -27. Find the common denominator of l and -99\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -675047*k**2 + 3897*k + 15588. Let f(p) = -866*p**2 + 5*p + 20. What is -3897*f(m) + 5*j(m)?\nAnswer: -433*m**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1061.675937 microseconds to weeks.\nAnswer: 0.0000000017554165625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 - 3*w**2 + 5*w**2)*(-5 - 2*w + 5)*(2021*w + 16 - 16 - 7105*w).\nAnswer: -20336*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6599\/402 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(sqrt(28) - (sqrt(28) - -4*sqrt(1792)))\/sqrt(4))**2.\nAnswer: -896000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 6*b**2 - b + 8. Let w be k(6). Suppose w*c - 3 = 1. Suppose 0 = c*i + 3*i - 125. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23382966?\nAnswer: 2, 3, 3897161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -14193 (b) 0 (c) -0.2 (d) -2\/9 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 82, -8, 2\/13, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 17*l - 45 = 0. Which is the closest to 0.1? (a) -9 (b) 5 (c) -4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = h - 55, 4*h + 25 = 2*n - h. Let c be 1016\/(-42) - (-2)\/(-3). Let p = n + c. Put 5, 0.6, -5, p in increasing order.\nAnswer: -5, p, 0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.457567 tonnes to milligrams.\nAnswer: 7457567000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*f + 138*f - 1103 - 752 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105793, 107368, 111633, 119932, 133609?\nAnswer: 154008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36896.68mg to kilograms.\nAnswer: 0.03689668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 6*q - 8*q - 238, 4*q = 3*x - 362. What is the smallest common multiple of (2 - -25)\/(-9) - 1*-69 and x?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 4*m**2 + m + 1. Let a be t(-4). Let x(d) = -d**3 - 3*d**2 - 2*d - 2. Give x(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + (98\/(-21))\/14*15. Let h(t) be the first derivative of 0*t + r + 28\/15*t**3 + 49\/5*t**2 + 1\/10*t**4. Factor h(x).\nAnswer: 2*x*(x + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 188*c**2 + 1798*c - 151. What is h(10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 2:58 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 203 - 143. Suppose 12*n + 0*n - u = 0. Solve -2*j = -n*j + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -k - 5*u, -3*u + 226 = -5*k + 7*k. Suppose 3*r - k = 1288. Is 38 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2*i**4 - 2*a**2*i**2 + 12*a**2 - 7*a*i**2 - i**6 - 3935*i**3 + 5*i**2 - 75*i wrt i?\nAnswer: 24*a**2*i - 120*i**3 - 23610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-975150)\/600*16\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 261 + -467. Let s = r - -205.9. Let p = 0.92 - 1.1. Are p and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7*z = -30. What are the prime factors of ((-22)\/z)\/((-1)\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 405814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 51.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m + 1. Let j be t(1). Find the common denominator of (-33 - -105) + -68 + (-70)\/24 and 33\/3*1\/j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -168\/65, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/16)\/((-3715)\/53496)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -501 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-462)\/1496 - 2\/(-34). Which is the nearest to -3? (a) -25 (b) -1 (c) j (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -43. Suppose -6 + 2 = q*o. Sort 0, -3, o, 0.4 in ascending order.\nAnswer: -3, o, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f + f**2 + 2*f**2 + 7435456288 - 7435456288.\nAnswer: 3*f**2 - 28*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 5 - (-5)\/1 - 2. What is the tens digit of 161 + z + (4 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297395 and 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*h**3 - 28*h**3 - 10 - 26 + 17 with respect to h.\nAnswer: -135*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 244724?\nAnswer: -1\/61181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33a1 (base 11) to base 12.\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**5 - 156*s**4 - 764*s**3 + 924*s**2 = 0.\nAnswer: -33, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -v - 4. Let i = 440 + -204. Let b = i - 1889\/8. Put b, v, 4, 0.2 in descending order.\nAnswer: 4, v, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2448) - (-1 + sqrt(2448) + 0) - (sqrt(2448)*-2 + -4 - sqrt(2448))**2).\nAnswer: 1728*sqrt(17) + 132282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 126, 300, 614, 1068, 1662?\nAnswer: 2396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 15*v**2 - v + 1. Determine h(2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303140108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198744 is divided by 49685?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 168*a - 136 - 203, 0 = -s - 3*s + 5*a + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2111032132 (base 4) to base 16\nAnswer: -9539e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(84)*-1)\/sqrt(4) - sqrt(21))\/(-2*sqrt(343)))**2.\nAnswer: 108\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2802832.\nAnswer: 2, 283, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from bbebebeeebeb.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 134 - 2*g**2 - 126 + 4*g**2 - 13*g. Let q be n(6). Suppose 0 = -2*v + 2, 0 = q*r + 4*v - 27 - 221. What are the prime factors of r?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = 64. Let f be d\/22 + 8\/(-44). Suppose -22 = -h + 5*t, -f*h + 22 = 2*h - 3*t. Solve 3*a + h*u + 0 = -2, 5*u = -5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 17*w**2 + 17*w + 25. Calculate f(5).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b = 4*j - 132, 0 = b. Calculate the remainder when 82 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 4) to base 16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/33)*r)\/r*r**(-12\/11)\/r)\/(r**1)**(2\/49) assuming r is positive.\nAnswer: r**(-3545\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -4 + (1 - 1) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70 - 25) + -48 - (1 - 30)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.970257 to four dps.\nAnswer: 0.9703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 54*i**2 + 242*i - 148. Let n be y(-49). Which is the third smallest value? (a) 3.2 (b) n (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + -66 - (71 - (15 + -6)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert d3 (base 15) to base 9.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 43db0?\nAnswer: -43db2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z + 42. Let f be y(-5). Solve -11*n + 20 = -f*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 95 (c) 1365 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - (-1 - 53))*1\/2. Let k(m) = m**2 + 2*m + 2. Let g be k(0). What is the first derivative of -y**2 - 14*y**2 - w - 9*y**g - 7*y**2 wrt y?\nAnswer: -62*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 124 = -4*l + 8*l, 288 = 5*o + l. Suppose 5*i = -0*i - 2*v - 19, -3*i = 4*v + 3. Let p = o + i. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 67244*j. Let i(h) = -3355*h + 1. Calculate i(o(l)).\nAnswer: -225603620*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**5\/60 - 5*b**4\/12 + 2*b**3 - 4*b**2. Is k(-9) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*p + 5*p + 40, p = -5. Suppose 2*i = 1 - k. Let l(m) = 2*m**2 + 2*m + 1. What is the units digit of l(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b - 36. Suppose 5*k + 371 = 366. What is the remainder when 16 is divided by b\/k*3\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993 is divided by 961?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0 - 12. Let l = 331 - -102. Suppose -u*w = -2*d + 170, -w - w = -5*d + l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23318 = -3105*l - 7732 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 6. Let j be h(6). Let k(d) = 3*d**2 + 24*d. Let z be k(-8). Suppose z = -j*p + 2*p - 14. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 - -79 - (7 + 1 - (-156 + 153))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 21*u - 2. Let g(a) = -2515*a - 30. What is 5*g(m) - 75*z(m)?\nAnswer: -14150*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2917, -2901, -2849, -2743, -2565, -2297?\nAnswer: -1921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a decade in months?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18592603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4851955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -483, -1007, -1529, -2049, -2567, -3083?\nAnswer: -3597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g. Let q(z) = 5119714*z**2. Calculate i(q(j)).\nAnswer: 5119714*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 913926 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1422 is divided by 319.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24918.\nAnswer: 2, 3, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -54\/109?\nAnswer: -54\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q, -12979 = -5*n - 5*q + 4386. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1780 and 0.0709.\nAnswer: -1779.9291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1135, 2535, 4895, 8221, 12519, 17795, 24055?\n\"Answer: z**3 + 474*z**2 - 29*z + 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -13. Solve l*v = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2.99, -0.5, -4\/15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*f - 3*f + 158, -5*v - 4*f + 235 = 0. Calculate the remainder when v is divided by 150\/8 + 33\/(-44).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {u: 2, s: 1, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((285\/1444)\/5)\/((-20)\/(3040\/(-57)))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 207611714 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 275 + 547123?\nAnswer: 547408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 1. Let u(l) = -l**2 + 9*l + 5. Let s(j) = -5*p(j) - u(j). Let r be s(16). Calculate the highest common divisor of r and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 524 + -875.4. Let z = j + 351.39995954. What is z rounded to 6 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 - x + 1 - 1.\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -5. Let o(g) be the first derivative of g**3 + 3*g**2\/2 - 29*g + 221. Let k(p) be the first derivative of o(p). Determine k(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dttmttttddttttttttmt. Give prob of sequence mtm.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 18\/5 and -3.62 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12084 plus 0.2?\nAnswer: 0.07916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/((-1)\/30). Let w = y + 26. Suppose 0 = -2*p + w + 1. Calculate the remainder when p is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-26 - 2 - -20 - (-7 - -2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -237*a + 343*a + 47 + 269*a - 47 in the form y*a + k and give y.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-749100)\/187 + (-4)\/34. Let j = p + 23935\/6. Calculate the common denominator of 35 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6195216763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/9 + 2)*(-810)\/(-6). Suppose -3*x = y - 3*y + v, 3*x + 6 = 0. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 1)*(-3 + 1 + 3)*(15*l + 10*l + 5*l) as i + s*l and give s.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/3 (c) 2\/13 (d) 7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1604626 and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6 + 1 - 2 + 3*n - n**2 - 3. Let v be d(3). Find the second derivative of v*b**2 + 0*b**2 + 2*b - 5*b wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 9*b**2 + 4*b + 8. Let x = 11 + -11. What is the remainder when c(-8) is divided by 42*((-2)\/(-4) - x)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7 = -1. Let c be -3*j\/(-63)*-1. Let z = -1689.9 - -1690.2. What is the third smallest value in 3\/5, z, c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1050, 2099, 3144, 4185, 5222, 6255, 7284?\nAnswer: 8309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Suppose 2*x = -x. Let r(s) = 0*s - 18 + x*s + 17 + s. Give r(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.6 less than -1.9057?\nAnswer: -166.5057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*h + h - 31*h - 26*h to f*h + z and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9428 is divided by 131.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43209757 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1910.2 + -1910. What is the nearest to 0.08 in y, 1\/7, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010 + -1011010100000000001?\nAnswer: -1011010100000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 6*a**2 - 4*a - 5. Let v be x(4). Solve -4*y = -3*c - v, -7*y = -3*y + c - 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 11927593?\nAnswer: -4771037.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 337602658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4496529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103520 rounded to the nearest 1000?\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 7*z**2 + 8*z - 6. Let n be m(6). Suppose 8 = f + 3*a - 10, n = f - a. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19048?\nAnswer: 2, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 15 = -5*h, -3*h - 4 + 13 = 3*a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 16*p + 48. Let t be r(9). Let b = t + -63. Solve -b*c = -10 - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8 - 16 = 0. Suppose 4*j = 4*k, -2*k + 3*j = 2*k + 4. Let u be k\/t*3\/10. Which is the closest to 2\/3? (a) 4 (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 3969.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 4:12 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.216 + -182\nAnswer: -181.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26393, 52792, 79205, 105632, 132073, 158528, 184997?\nAnswer: 211480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 - 45. Let k = -18 + u. Solve 3 + 3 = -o - 2*n, -k*o = -3*n - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11486 is divided by 153?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 i when three letters picked without replacement from imlllllillpiiiiii?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186573148 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-6*(-4 + sqrt(13) + -3))**2 - (sqrt(156)\/(sqrt(12) - (-2*sqrt(12) + sqrt(12))) + 1*sqrt(13) + 5)).\nAnswer: -5055*sqrt(13)\/2 + 11135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 64. What is c(23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35620*t - 21041*t - 16716*t + 6257*t.\nAnswer: -67120*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 308 = o - u, o - u = 155. What are the prime factors of o?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22249604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - y - 2*y + 25, x - 10 = -2*y. Let v(i) = -4*i + 5 - 5*i**3 + i**3 + 5*i**2 + 3*i**3. Calculate v(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 9 = c, -2*c - 9 = -524*g + 525*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (19059\/(-31765))\/(4\/210)*(4\/(-14))\/1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*k**2 + 110*k - 110*k + 2*k**2 + 0 + 0 + (2*k - 3*k + 3*k)*(-1 + 1 - k) + 0*k**2 - 5*k**2 - 4*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2767, -7941, -13115, -18289, -23463?\nAnswer: -28637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6 = l. Calculate the remainder when -41*l\/3 - -1 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 808405140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 4*q**2 + 5*q + 6. Let y be m(-5). Let p be 232\/(-3*(-2)\/y). Let w = 569 - p. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w - 291. Give t(-18).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 28*w**2 + 9*w + 33*w**2 - 54*w**2.\nAnswer: (w + 1)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/23 + 2 + 424782\/207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 17, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -25, 0.4, 3.92, 0.\nAnswer: -25, -1, 0, 0.4, 3.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4226527 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0203 and 476.\nAnswer: 476.0203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - h**2 + 2*h - 1. Let x be 2*3\/6 + -3. Let w be (3 + 1 - 1) + x. What is k(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = -0*c. Suppose -6 - 52 = -c*h. Calculate the remainder when h is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1089837 and -145\/252.\nAnswer: 4359348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 92. Let p(y) = r*y - 44*y + 22*y. Let o be p(2). Solve 6*u = u - o*f - 4, -3*f - 6 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 22*l**2 - 13*l + 3. Let r be o(21). Let p = 46 + r. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*18.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 3:20 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1039 (b) -22 (c) -10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-4))\/5 - (-8001)\/(-4). Round w to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213481898 divided by -2.\nAnswer: 106740949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 34, 6, -4, 10, 54?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 4:44 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/6529 and 65\/39174?\nAnswer: 39174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -310124 (base 7) in base 14?\nAnswer: -153bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (280\/24 - 11)\/((-28)\/(-81)) and -27\/322.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i, 2*i = 5*q - 5. Let t(k) = k - 5. Let m be t(5). Suppose -h = n - q - 10, -5*n - h + 59 = m. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0698 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 20 = o + 2*v, -3*o - 5*v = -55. Suppose 5*y + 2*h - 6*h = o, 0 = 5*h - 25. Is (-548)\/(-8) - (-3)\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 + -9) - (-111 + 18) - -12?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12880909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23713550 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g + 233. Calculate k(48).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 156.2881 decades?\nAnswer: 1.562881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 1:28 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x - 1944. Let c = -7836 + 1522. Let a = c + x. Round a to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -771391 divided by -33?\nAnswer: 771391\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13 - ((1 - 11) + (2 + 1 - 3))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3, -1051, 3.\nAnswer: -1051, -21, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmm when three letters picked without replacement from {k: 2, m: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 6. Sort -4, r, 1 in increasing order.\nAnswer: r, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -10 - (-2 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 12. Let w be z(7). Let y be ((-2)\/w)\/(6\/150). Solve 0 = -2*r + r + 4*k + 13, 5*k - y = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -420, -1813, -4178, -7515, -11824?\n\"Answer: -486*k**2 + 65*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2 - (18 - 12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 220001112010?\nAnswer: 220001112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*f - 796 = 3*p, 2*p - 3*f = -393. What is the common denominator of -111\/14 and 8\/p*771\/8 + 3?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -19*o - 5. Let r(j) = -9*j - 3. Give -3*c(n) + 5*r(n).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2165 - 2965 = 55*h + 3160 for h.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 248. Suppose z - m = -3*z. Let h = z + -13. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**2 + 0*t**4 + 0*t + 0 - 1\/30*t**5 + 0*t**3. Let z(m) be the third derivative of -m**4\/24 - 3*m**2. What is o(z(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + -21 + (17 - (-27 + 25))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -36, -118, -286, -570, -1000, -1606, -2418?\nAnswer: -3466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 168*q**2 - 200*q**2 + 345*q**2.\nAnswer: -23*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - -14) + (11 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172.3189439746 - -0.6810535754. Let c = w + -173. What is c rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 13 - 23. What is the highest common factor of z and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2507529 is divided by 78305?\nAnswer: 1769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125383114*i**2 - 101961814.\nAnswer: 250766228*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trprprrtptrp. Give prob of picking 1 t, 1 r, and 1 p.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b + 1. Let d(w) be the first derivative of -44*w**2 + 20*w - 19. Let m(z) = d(z) - 20*x(z). Let y(a) = -6*a. Determine y(m(f)).\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101 + 101?\nAnswer: -1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12065179 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 2*o - 27 = 9*w, 5*w = o + 26. Solve -6*j - 25 = -j + g, 0 = j + 2*g + w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9782.1495771 + 9841.6496. Let i = p + -59.5. What is i rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Find the third derivative of 2*s**2 + s**v + s**6 - 4*s**2 wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18998 - -32977. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4410366, -4410365, -4410364, -4410363, -4410362?\nAnswer: -4410361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41816.\nAnswer: 2, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3830808, 3830805, 3830802, 3830799, 3830796?\nAnswer: 3830793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2 + 6169934*m + 9517021391089 = 0.\nAnswer: -3084967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 514014 a multiple of 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + k - 1. Let a(w) = 63*w**2 - 5*w + 7. What is -a(p) - 5*f(p)?\nAnswer: -58*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -361 - -666. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-2))\/(213\/(-31524)))\/((-6)\/108*-12).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -9733?\nAnswer: 136262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-32 + 39 - (-3 + -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 1 (c) -19\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168957604?\nAnswer: 2, 17, 239, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51\/10 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 221642 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 251*o**5\/60 + 342*o**2. Let h(s) = 3*s. Calculate w(h(x)).\nAnswer: 2259*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2 - 99*n - 45. What is the least common multiple of 384 and p(19)?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32124600731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.01 - 0.01. Let m = 125244.6900006 - 125241.69. Let w = l - m. Round w to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6099990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.076 (b) 0.222 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/216706 and -97\/616.\nAnswer: 9535064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2 - 3*i**2 - 7 + i**2 + i**2 with respect to i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.73356192 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1611 by -179.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -12. Let j = 13 + b. Suppose 4*i = 2*z - 44, -5*z + 91 - 5 = -j*i. What is the greatest common divisor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0709 - 295.9291. Let y = c + 312.1. Let z = y - 16.09866. What is z rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.36 - -0.06. Let n = g - -3. Let t = n + -0.685. What is t rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 939524*i**2*u**2 + 13*i**2*u - 82*i*u + 33*i + u wrt u.\nAnswer: 1879048*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) -12 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 6) + 7 + -10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a decade in years?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-9)*(l**0)**(-4\/13))**(-6\/7) assuming l is positive.\nAnswer: l**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/15 - ((-37)\/(-20) + 1). Let j = w + 87\/28. Let n = -57\/68 + 10\/17. What is the biggest value in 2\/5, n, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**1)**26*(m**0)**(3\/40)*((m*m\/m**(1\/4)*m)\/m*m)**(13\/4)*(m**(2\/7)\/m*m)\/(m*m**(1\/3)*m) assuming m is positive.\nAnswer: m**(19787\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -30. Let j(q) = 3*q - 1. Is 4 a factor of j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, c: 1, p: 3}. Give prob of picking 2 b, 1 c, and 1 p.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -279\/2827 - 21175104\/19789. Let k = -1074 - u. Calculate the common denominator of k and -19\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9760900 to the nearest integer?\nAnswer: 3124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12448? (a) -0.1 (b) -1 (c) 6\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2. Suppose -67 + 247 = 18*s. Suppose 2*r + 2 = 10. Let d(k) = -3*k - r*k + s*k. What is d(j(f))?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5040\/(-350)*(-50)\/20*1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*j*z + 569652081*j - 6873605*z wrt z?\nAnswer: -9*j - 6873605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9606780 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21693106 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3 + 3 + sqrt(567) + -2 + -4)**2 + 2)*5*-5.\nAnswer: -14300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*d*t + 1545*d - 129*t wrt t.\nAnswer: -15*d - 129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxaxaxaannbxa. What is prob of sequence anb?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 625*b + 620.\nAnswer: 5*(b - 124)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 40a7 + 202?\nAnswer: 42a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 22*a**4\/5 + 2*a**3\/5 - 4*a**2 = 0.\nAnswer: -1, 0, 10\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*f = -5*p - 18, -2*f = -2*p - 6. Let r(m) = 3*m**2 - 4. Let l(a) = -5 + 5*a**2 - 2*a**2 + 3*a**2 - 2*a**2. Give p*l(i) + 5*r(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - r - 2*r = 74, -u - 2*r + 7 = 0. Sort -2, 4, 1, u.\nAnswer: -2, 1, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/10692436 and 97\/32077308.\nAnswer: 32077308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108\/91, -4, -1 in descending order.\nAnswer: 108\/91, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/46710 and 131\/30.\nAnswer: 46710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 239, 294, 261, 146, -45?\n\"Answer: q**3 - 50*q**2 + 198*q + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.26 + 15. Let l = d + 0.46. What is l rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.875 + 15. Round d to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*2\/8)\/((187920\/(-80))\/(-27))?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -81927 divided by 43\nAnswer: -81927\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/77184 and 5\/115776.\nAnswer: 231552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 + 0.34. Let x be (4 - 2) + (-16)\/(-2). Let o be (-4)\/x - 12\/(-5). Sort o, 1, p.\nAnswer: p, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60065, 59023, 57279, 54833, 51685?\nAnswer: 47835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.43 - -9.23. Sort x, 1, -67.\nAnswer: -67, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/176)\/(10\/(-80)*42).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.1, -1, 0.2, 0, -26\/9?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-404*(-88)\/533280)\/(2\/(-15))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 5. Suppose -251 = -8*h + 173. What is the remainder when h is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9473.\nAnswer: 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.02 (b) -1\/9 (c) 3 (d) -1\/3 (e) 1 (f) 0.62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v - 5*w - 64 = 0, -4*v = 2*w - 80. Let z(k) = 87*k**3 - 2*k**2 + k. Calculate the remainder when z(1) is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -563 + 985. List the prime factors of r.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 5*d + 1. Let h(p) = p**2 + 6*p - 1. Let r = 3 - 4. Let m be 0 - 0 - (r + 8). Let w = m - -11. What is w*h(b) + 5*o(b)?\nAnswer: -b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, w: 3, g: 4}. What is prob of sequence gggg?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**3 - 34*n**2 - 13*n + 46. Let u = -382 - -377. Let j(i) = 5*i**3 + 70*i**2 + 25*i - 90. Let g(z) = u*k(z) - 2*j(z). Factor g(y).\nAnswer: 5*(y - 1)*(y + 2)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryyyryybyrykrrbbr. What is prob of sequence rby?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -42, -45?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y + 1 - 1)*(2*y - y + y) + 2*y + y**2 - 2*y - y**2 + 5 - 5)*(y - y**2 - y)*(y + 0*y + 2*y).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9042949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7011 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 862387 is divided by 264?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 337 + -337.3. Let p = -18 - -15. Which is the second biggest value? (a) p (b) w (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111741526*t**3 + 90*t + 1016327?\nAnswer: 670449156*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4 + 48 = 4*j, -j - 4*f + 24 = 0. Suppose -3*y = y - j. Suppose 5 - 3 = r - 4*m, -y*m - 16 = 2*r. Let t(n) = -2*n - 4. Give t(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/14 and 31\/3642?\nAnswer: 25494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000114702785 to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdd when three letters picked without replacement from ddcddddddddcdddcccc.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -13*u - 16. Let r be x(11). Is (2\/1 - r) + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 14*k + 11. Let g be q(10). Let d = -49 + g. Calculate the remainder when 109 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*k - 23715 + 22715 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 3*p**2 - 4*p**2)*(-14 + 14 + 7*p)*(p**2 + 1 - 1 + 2 - p**2 - 2 + (-3 - 2*p + 3)*(1 - 1 - p)).\nAnswer: -14*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**3 - 99*s**2 - s**3 - 53*s**2 - 29*s**2 - 2 + 31*s**2 as w*s**3 + h*s**2 + d*s + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 389577 and 9454101.\nAnswer: 5487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + k + 14365, -4*v - 3617 + 15088 = -5*k. Suppose -186*t = -180*t - v. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*b = -42*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 - 69*t + 3330. What is x(27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 35, 88, 163, 260?\n\"Answer: 11*s**2 - 2*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -173 - -173. Solve -2*i - 4*a = -i + 15, c = 2*i - 5*a - 22 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (186\/1240)\/(6\/16)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 11. Let p be 4 + ((-4)\/(-8))\/((-1)\/2). Let v(o) = 9*o - 6*o**2 + p + 3 - 5 - 11 - 3. Let x(b) = -3*b**2 + 5*b - 7. Determine f*v(z) + 11*x(z).\nAnswer: 3*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 151, 225, 299?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6892 - 6897. Which is the smallest value? (a) -1 (b) 2\/11 (c) -4 (d) 1 (e) n\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.1 - 0.1. Let q = -57.134 + 0.134. Let c = -53 - q. Sort n, c, 11 in decreasing order.\nAnswer: 11, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6362 divided by -138.\nAnswer: 3181\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 70. Suppose -6*s - p = -4*d - 5*s, 2*d + 5*s - 24 = 0. Find the third derivative of -61*c**d + 0*c**4 + 4*c**4 - c**4 + 30*c**2 wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 3. Let h be w(-5). Suppose -n = h*q - q - 544, -q = 3*n - 542. Find the common denominator of 97\/8 and q\/220 + (-1)\/4.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 2 - -2) + 19 + (6 - 22).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 101000011010100 (base 2) to base 3\nAnswer: 1001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 161712*h + 161716.\nAnswer: -4*(h - 1)*(h + 40429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -13*((-3)\/1)\/1. Let k = r + -4. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -5, -6, 13, 1.2 in decreasing order.\nAnswer: 27, 13, 1.2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3019373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 5070741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65639870?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -8. Suppose -5*k + j*k + 600 = 0. Suppose 0 = -5*c + c + k. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -45, -5, 1, -284 in increasing order.\nAnswer: -284, -45, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 9*l**2 - 10*l + 2. Let q = -6 - -16. Let d be j(q). Let y(n) = 10*n**d + 7*n**2 - 16*n**2. Let o(x) = 5*x**2. Give y(o(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 minus -4926?\nAnswer: 4923.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 (base 12) in base 6?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (2 - 3)) + (-13 - 4 - -28).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -0.1, 0.1, 1\/3, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27047 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1\/(-7)*-25.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -2. Let r = 2 + i. Let h = 3 - r. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-55))\/(12\/(-22)) + (-28)\/105?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*c + 125200010 = 4*t, -5*t + 156499990 = 5*c. Round t to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 26 = -33 - 32. Sort 2\/11, g, -3\/4, -2\/621.\nAnswer: -3\/4, -2\/621, 2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 61\/2 of a millimeter?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 98.810901?\nAnswer: 98.810901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-1 + 5 + 6) - (-4 - 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8453 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89\/3 + 29. Let z(y) be the third derivative of -y**4\/24 + 2*y**3\/3 + y**2. Let k be z(8). Which is the nearest to t? (a) k (b) 1\/2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4 + 17*d - 4.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**3 - 3484*z**2 - 42 + 1164*z**2 + 1158*z**2 + 1161*z**2 + 3*z - 4*z**3 as n + f*z**2 + c*z**3 + g*z and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60225 and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -121*k**7\/210 + 41*k**5\/60 - 44*k**2. Find the third derivative of w(t) wrt t.\nAnswer: -2904*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 460 and 960?\nAnswer: 22080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwjjkkdwvkdwkdk. What is prob of sequence wj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*k)*(-3*k + 2*k + 4*k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -271 - -271. Suppose -o - 4*r + 22 = 0, m = 3*o + 3*r - 95 + 11. Solve -8*x - o = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1173664604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**3 - 9*t**2 + 20*t**2 + 21 - 78*t**2 + 4*t**3 as q*t**3 + f*t**2 + k + c*t and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 539 + -266. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6542.5 - 6542.5085882. Round b to 5 dps.\nAnswer: -0.00859","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-8) + (-879)\/(-12) + 1. Factor 115*r**2 - 71*r**2 + c*r - 20 + 28*r.\nAnswer: 2*(2*r + 5)*(11*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -11. Suppose 5*a - 4*a = h. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 6*o**2 - 4*o + 6. Let x be g(-5). Let t(l) = -6*l**2 - l + 1. Determine t(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -530245 - 6?\nAnswer: -53024b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2 + 6*x**2 - 3*x**2 + x**2 - 2*x. Let z be s(2). What is the greatest common divisor of 42 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3 + 8*x**2 - 4*x**2 + 3. Suppose -3*w - 6 + 24 = 0. Let o(c) = -c + 7. Let q be o(w). Give y(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 46998459 (b) -3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117523 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 3:35 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 135350, 541721, 1219006, 2167205, 3386318?\n\"Answer: 135457*t**2 - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.74+-0.109\nAnswer: -0.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 0*y + 0*y)*(2*y + 6*y + 5*y + (3 - 3 - y)*(6 - 1 - 2)) to the form n*y + u*y**2 + w and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14211\/11 + -1293. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2206)\/31987 - (-460)\/(-58)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114445441 to the power of 1\/2, to the nearest integer?\nAnswer: 10698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3 (b) -1 (c) 24.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-3)\/(-9)*5. Let a(c) = -2*c**3 + 3*c**2 - 3*c - 3. Let f(u) = 3*u**3 - 52*u**2 + 5*u - 76*u**2 + 5 + 179*u**2 - 56*u**2. Calculate i*a(q) + 3*f(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 3:39 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265443, 265804, 266169, 266544, 266935, 267348, 267789, 268264?\nAnswer: 268779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + sqrt(1100) + -1 + sqrt(1100) + -4 + sqrt(1100) + sqrt(1100)*2 + 2 + (sqrt(1100) + 1*sqrt(1100) + -5)*6)**2*-2*-1.\nAnswer: -23760*sqrt(11) + 714978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*x - 32. Let z = -31 - -81. Suppose 3*f = -2*f + z. Calculate the lowest common multiple of f and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*4 - sqrt(19))*1 - 5*(sqrt(209) - (sqrt(209) + sqrt(209)*-2))\/sqrt(11).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37259 and 2109?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p. Let j(d) = d**2. Let b(y) = -2*y**2. Let q(a) = 2*b(a) + 5*j(a). Give q(k(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -31*f**2 + 259*f + 7. Let u(r) = -11*r. What is u(b(o))?\nAnswer: 341*o**2 - 2849*o - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 365 + -359. Calculate the least common multiple of l and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -41, 3, -2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, -22, -33, -46, -61?\n\"Answer: -t**2 - 6*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5999935 - -0.6. What is s rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -120002?\nAnswer: -120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/5 - 94*g**3\/5 + 17582*g**2\/5 + 53374*g\/5 + 7140 = 0 for g.\nAnswer: -119, -2, -1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -4*h + 293 - 289, 0 = u - 5*h + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*x - 2*z = 284*x + 496, -z = 2*x - 481. What is the least common multiple of 9 and x?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -18*w**2. Let q(a) = 10*a - 18*a - a**2 + 3*a**2 + 515 + 8*a. Give q(n(l)).\nAnswer: 648*l**4 + 515","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -8450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -60\/13, 4, -1, 5\/8, -2 in ascending order.\nAnswer: -60\/13, -2, -1, -0.5, 5\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let h be r(3). Suppose -57 = h*u - 153. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-170))\/(-5)*-1\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/2 + (-571)\/1142\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -344, 0.06, -4, -6?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 194406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 16515.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2330 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104 - -5) + -8 + (1 + 0 - 16) + 6.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*g**3 + 541*g**2 + 1834*g - 1 wrt g.\nAnswer: 66*g + 1082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10321 (base 4) in base 13?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 8 + 1)*(-1 + 3 - 1)*((23*u - 23*u + 8*u**2)*(-4*u + 4*u - 5*u) + 4*u + 2*u**3 - 4*u) in the form s*u + j*u**2 + y + z*u**3 and give z.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 318172481 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, -31, -86, -163?\n\"Answer: -11*p**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9911 and 530.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 23*q + 29 = 3*c, 0 = 4*q - 4. Let d(b) = 4*b**2 - 34*b + 4. Give d(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6936*w + 693470. Determine c(-100).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3417760 divided by 1312?\nAnswer: -2605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(4 - ((-285)\/282 + 5)). Let q = 196 - s. Let h(r) = r**3 - 7*r**2 - 7*r - 5. Give h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6 = 4*n. What are the prime factors of n\/(-8) + 861\/28?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127236163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 6. Let d be c(6). Suppose d = 4*r - 3*f - 24, -2*f + 1 = 3*r - 0*r. What is the units digit of 1*37\/3*r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2 + (sqrt(1100) + 0 - sqrt(1100)) - (sqrt(1100) + -1 + 3)))**2.\nAnswer: 180*sqrt(11) + 1181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.404669 to 2 dps.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 251, 373, 493, 611, 727?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scys when four letters picked without replacement from {y: 2, s: 2, x: 1, c: 1, q: 1, i: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 763213*o + 763213*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 1. Let r be m(1). Suppose r*s + 32 = s + o, 5*s + o + 80 = 0. Let p = -15 - s. Solve p + 1 = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (582\/114 + -5)*-2. Let l = x - 3\/76. What is the third biggest value in -3, 5, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 6:58 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = 8*x - 10. What is the smallest common multiple of 135 and x?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96058*i + 96079*i + 1197 = 0 for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 4*q**2 + 11*q - 4. Determine r(7).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.9679 + -0.0621. Round x to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-18))\/((-11)\/66*1))\/(-17)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.67 + 1.7. Let a = u - -1.97. Let x = a + -6. Sort 0.4, x, 3.\nAnswer: x, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21252 and 33?\nAnswer: 21252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.724687 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*g - g + 5404. Let f = g - 56. Calculate the remainder when f is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = -6*n + 383. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 227775 - 47?\nAnswer: 227726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (230\/(-138))\/((-30)\/606348) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 0*g**3 + 37*g + 0 - g**2 + 0*g**4 + 0*g**5 + 23\/10*g**6. Differentiate q(x) wrt x.\nAnswer: 276*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4 + 2*s + 4*s - 3*s. Suppose 0*v + 5*v + 2*a - 30 = 0, 2*v = 5*a - 17. Calculate the smallest common multiple of h(v) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1639745, 6558957, 14757649, 26235827, 40993497, 59030665?\nAnswer: 80347337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 1\/2196 (c) 0.1 (d) -1\/10 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3475076777 to the power of 1\/2, to the nearest integer?\nAnswer: 58950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 42800 divided by -50\nAnswer: -856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-6)*48\/192*16\/(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24.63406 and 1.9?\nAnswer: -46.804714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000449288 rounded to six decimal places?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*l + 65*l + 170 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45267 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**5\/60 + 16*v**3\/3 - 28. Let o(b) be the third derivative of j(b). Let q(a) = -6*a**2. Give o(q(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b49d4 + -3a?\nAnswer: 1b4998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z**33)*(z\/z**(-3))\/z)\/((z\/(z\/z**(1\/10))*z)\/((z\/(z*z**(-7\/4)\/z))\/z)))**(-13) assuming z is positive.\nAnswer: z**(7891\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-p**3 - p**3 + 10*p**3) + (10*p - 2 + 2)*(-3 + 3 - 2*p**2).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 158 and 7110?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 3*m**2 + m - 1. Suppose -2*l + 57 + 9 = 0. Suppose 4*f - l = f. Suppose -2*d + 3 = f. What is i(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 - (7 - -3 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*w**3*z**2 + 60135*w**3 + 3*w*z**2 - 522*z**3 wrt z?\nAnswer: 80*w**3*z + 6*w*z - 1566*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000110111110100 - 1010010?\nAnswer: 110000110110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*n + 202, -2*y + 5*n - 183 + 599 = 0. Let s = y + -5012\/23. Which is the third smallest value? (a) s (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 195738991 and 33902.47.\nAnswer: 195772893.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -29*h - 33*h - 26*h - 23*h + 110*h. Let m(r) = 2*r + 179. What is a(m(c))?\nAnswer: -2*c - 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 16364.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) -6\/7 (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71495.96 meters to kilometers.\nAnswer: 71.49596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/3))**(3\/2)*y**7\/(y*(y\/y**(5\/3))\/y))\/(((y\/(y**(3\/8)*y))\/(y*y*y**(-3\/7)*y))\/(y**(-3)\/y*y*y**(-2\/11))) assuming y is positive.\nAnswer: y**(14657\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)*3*-4 + sqrt(756))\/(sqrt(363) - 2*(sqrt(363) + (sqrt(363) - (sqrt(363) + -1*sqrt(363)) - sqrt(363)))).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 3, -333, -3 in increasing order.\nAnswer: -333, -5, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.4 - 4614.\nAnswer: -4584.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*d = -80*d + 4*v + 50, -56 = -4*d + 5*v - v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 37582562?\nAnswer: -19\/37582562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**5\/60 + k**4\/6 - 2*k**3\/3 + 9*k**2 + 240*k. Let s(c) be the second derivative of w(c). Determine s(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/16*-4)\/(((-166)\/(-4980))\/(12\/(-10))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 2. Let t = -291 + 300. Let s(w) = 30*w**2 + 11 - 7 - t*w**2 - 19. Calculate 15*g(m) - 2*s(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8233, 8231, 8229, 8227, 8225?\n\"Answer: -2*t + 8235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5554 = -3*x, k + 3*k - 22224 = -4*x. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = b - 6. Suppose -b = -4*h + 87. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) - 296\/36. Let t be ((-18)\/w)\/((-30)\/(-80)). List the prime factors of ((-3)\/9)\/(t\/(-3402)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 160 + -100.5. Let t = -60 + q. Sort 0.3, 0.03, t in increasing order.\nAnswer: t, 0.03, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -284.1 - -275.1. Which is greater: 130 or v?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 10 + 14 + 504*l + 13.\nAnswer: 504*l - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let q(i) = 41*i**2 + 113 + 42*i**2 + 39*i**2 - 123*i**2. Calculate q(k(n)).\nAnswer: -4*n**2 + 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = -18. Is 5*t\/(2 + 1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 31 - -21 - (-2 - (0 + 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 35*p**3 + 27*p**2 + 3*p + 12866. Let t(i) = -102*i**3 - 81*i**2 - 8*i - 38600. Let l(r) = 8*k(r) + 3*t(r). What is the derivative of l(a) wrt a?\nAnswer: -78*a**2 - 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, c: 3, s: 3}. What is prob of picking 2 s?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/11 + 24378*g**2\/11 + 633321*g\/11 + 4115488\/11.\nAnswer: (g + 13)**2*(g + 24352)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - -1. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-14*(-8 - 156\/(-8)). Let j = s - -170. Solve 13*v = j*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -15, 1\/297150, 1\/3, -0.4?\nAnswer: 1\/297150","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3578094*u**3 + 32323885.\nAnswer: -10734282*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 409044*c = -409049*c - 20, c = -5*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1369*h + 13214 - 4415*h + 8841*h + 8428*h wrt h.\nAnswer: 14223","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*l - 8 = 564 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2523 (base 13) to base 12.\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.14211*-106\nAnswer: -15.06366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 6. Let u = 234 + -230. What is the lowest common multiple of s(6) and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 32. Give p(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -259485 and -259485 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5 - (-66)\/240. What is the nearest to 0 in y, 0, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 10*n**2 - 3*n + 1. Give x(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 10 + 15. Solve g = -6*l + l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/21 + 40\/(-112)*-2. Let o = -35 + 67. Let w = o - 24. Solve v = -3*p + 2*i, 1 = -4*p - 5*i - w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*s - 16. Let p = 18 - s. Suppose 0 = 5*o - 2*o - m - p, 5*o + 2*m - 49 = 0. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 42. Let l = 11 - z. Let b be 0 - (l\/35 + (-11480002)\/(-14)). What is b rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*p - 21, p + 3*l = -0*l + 17. Let y(j) = -9*j**3 + 4*j**2 - 2*j + 1. Let n be y(p). Let w = -16 - n. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (35 + (-4 - (-3 - -12)) - 0).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3092 is divided by 1027?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 521125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f - f)*(-6 - 90*f - 7 + 102*f).\nAnswer: -24*f**2 + 26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + s**4 + s**2 - 36*s**3 + 39*s**3 to d*s**3 + h*s**4 + b*s + l*s**2 + a and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24430 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 - (0 - 2 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l - 16*l - 8*l + (2*l - 3 + 3)*(-1 + 5 - 2) - 3*l + 3*l + l to h + u*l and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 15. Let h be n(4). Suppose -5*w + 9 = -h. Suppose 8*v = w*v + 372. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -17*w**2 - 12*w + 4. Let z(j) = 29*j**2 + 20*j - 7. Let p(v) = -5*s(v) - 3*z(v). Let h(q) = 5*q**2. What is p(h(n))?\nAnswer: -50*n**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3180 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/9)\/((-1)\/(-15)). Suppose 3 = -s - 3*o, 3*s + d*o - 9 + 2 = 0. What is the units digit of (-4)\/(-18) + 133\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-12)*((-188)\/235)\/(8\/(-45))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -4*b - 80. Calculate the greatest common factor of 57 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 a factor of 339558132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 38, 79, 136?\n\"Answer: 8*l**2 + l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*v - 78 = -51*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 69.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 788279 - 0.1561.\nAnswer: 788278.8439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, p: 1, r: 3, n: 2}. Give prob of picking 3 m and 1 n.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 101*n + 1377. Calculate k(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-2 - (3 - 105)\/6. Let k(d) = d**3 + 4*d**2 - d + 3. Let f be k(-3). What is the highest common factor of f and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*a - 15, -2*q = 3*q - a - 9. Find the first derivative of 0*m - 2*m + q + 2 - 2 wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/108171 and -97\/102?\nAnswer: 216342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/14540463 and 67\/18774.\nAnswer: 29080926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 816.\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 526808646 - 329668388. Suppose 0 = -24*w + 23659742 + r. Round w to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 4*c + c)*(3778*c - 1828 - 3779*c - 1438) to the form s*c + z*c**2 + m and give s.\nAnswer: 3266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377229931?\nAnswer: 13, 1663, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82177 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*c = -16, 3*c - 4 - 9 = t. Let m = 8.02 + -8. Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 194928 and 12?\nAnswer: 194928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 - (-16 - -15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-246)\/(-205)*((-84)\/8 + 3))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*z)*(0 + 0 + 1) + (-3*z - z + 3*z)*(2 + 0 - 1) + 2 - 2 + 3*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -5. Let f = i + -7. Which is greater: 0.9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3155362 weeks in seconds?\nAnswer: 190836.29376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**3 - 5*o**2 - 5*o + 6. Let j(g) = 4*g**3 - 6*g**2 - 6*g + 7. Suppose 4*x + 3*l - 14 = 0, 11*x + 20 = 17*x + 5*l. Calculate x*j(z) - 6*k(z).\nAnswer: -4*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1094, 1097, 1100, 1103?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvsvvvvvvvvvvvsssvvv. Give prob of sequence vs.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195118 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.5 take away 47697?\nAnswer: -47315.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -7 (c) 52 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*((w**(-2\/5)*w)\/w)\/w))**(-14)*(w*w\/(w**4*w))\/(w*w*w**(-1\/3)\/w*w*w) assuming w is positive.\nAnswer: w**(-169\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 5*v**2 + 5. Let r be n(-5). Suppose 0*g - 4*g = 4*p + 44, -r*g = 2*p + 61. Let d = g + 18. Solve -2*i - i = -d*w + 19, 5*i = 4*w - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4323*f. Let n(b) = 6*b**2. What is x(n(p))?\nAnswer: 25938*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1487.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74150094?\nAnswer: 2, 3, 12358349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.104785 * -0.1\nAnswer: 0.0104785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - l - 1, 46*u - 42*u - 3*l = 31 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4 - 27*v**3 + 343*v**2 - 981*v + 666 = 0. Calculate v.\nAnswer: -37, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 - 42*c - 882.\nAnswer: -(c + 42)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*d - 17 = 2*d, 4*y = -d + 34. Solve 6*p = y*p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*w - 313, 0*l - 6 = -2*l. Suppose -5*f - 218 = -2*h, 5*f - 4*f - 518 = -5*h. Let b = h - w. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**2 + 35*p + 1310. Give q(-14).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*k**2 - 151*k**2 - 1483*k + 1484*k + 19 + (5 + 5*k - 5)*(k + 0*k + 0*k).\nAnswer: -114*k**2 + k + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6 - 3*s + 2*s - s. Let r be b(-6). Let q(f) = -f**3 + 11*f**2 - 24*f - 33. Let k be q(6). Solve -k*o = 0, -o = -3*u - 0*u + r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 0) + 56 + -59\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a4c8b (base 13) in base 6?\nAnswer: -10204513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(2\/1))\/((-7)\/(-14))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = -6*t + 3*t. Suppose -q = 4*p - 19, 2*q - 4*p - t = -15. Calculate the remainder when 66 is divided by q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 226899419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*y - 42125 = 1174*y - 510*y for y.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j*v**3 - 2*j*v + 27*v**5 - 143*v**4 + 6*v**3 - 15485*v**2 wrt v?\nAnswer: 6*j + 1620*v**2 - 3432*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 15. Let l = y + 7. Suppose 2*h - h = -4*m + 15, -2*m - 6 = -4*h. Solve -3*s + 23 = -l*t, -3*t + h*s = 2*s + 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 + 0*o - 2*o + 3*o - o**2 + o**4 in the form d*o**3 + r + z*o**2 + p*o + s*o**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/17644472 and -99\/56.\nAnswer: 123511304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**3\/5 - 1361*l**2 + 2214407*l\/5 - 184703987\/5 = 0.\nAnswer: 169, 6467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 699980 + -360319. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(1000)*2 + sqrt(1000) - sqrt(1000)).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 185*r**2 + 0 + 4 in the form z + s*r + n*r**2 and give n.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6400, -6403, -6408, -6415?\n\"Answer: -i**2 - 6399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.19. Let t = 446.91 + -445. Let i = y + t. Is i greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*z - 12*z + 15*z)*(3*z + 5*z + 4*z + (2*z - 6*z + 0*z)*(4 - 1 + 1)).\nAnswer: -116*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302, 1161, 2584, 4565, 7098, 10177, 13796?\nAnswer: 17949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879022772?\nAnswer: 2, 219755693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1016 and 693153.\nAnswer: -704243448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3830*h = -7649*h + 3838*h - 38. Solve -5*u - 4*q + 87 = 126, 0 = -5*u + h*q - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -27*v**2 - 27*v - 5. Let c(z) = 13*z**2 + 14*z + 3. Let h(t) = 3*a(t) + 5*c(t). Let n(u) = u - u**2 + 0*u**2 - 3*u - 2*u**2. Give -4*h(i) + 22*n(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 3:56 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127751, 127726, 127703, 127682?\nAnswer: 127663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g = -34*v + 30*v - 21*g + 24, 4 = 4*g - 3*g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**2 - 4*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 607560 and 1462170?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + ((-10 - 6) + 4 - -1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 46 (b) 920 (c) -233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-18))\/(-7)*-21*(-880)\/(-264).\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 102626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 101?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-3))*z)**16)**(-11) assuming z is positive.\nAnswer: z**352","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 6. Let m = 6 - x. Suppose m*k - 3 = 7*k. Solve k*u + 27 = -3*d, 4*d + u + 0*u = -24 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**2 + w**3 - 482 + 519 - w - 3*w**2 to m*w**3 + q + h*w**2 + z*w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15057 is divided by 188?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Let z = -5 + c. Let l be 19840\/(2504\/1250 + z). What is l rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (1 - 2)) + 206. Let s = k - 111. Suppose -5*p + 58 + s = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/2047 and -77\/75908901.\nAnswer: 75908901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 29 = 11. Let k(x) = x - 6. Let o be k(g). Solve h - 9 = -t, o*h + 16 = 6*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 132*y - 2*y**4 + 266*y - 4*y**3 + 2*y**3 - 132*y + 1 - 21*y**2 to the form n + l*y**2 + r*y + u*y**3 + d*y**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 7 + 9. Let y(o) = -471*o + 25. Let w(m) = -113*m + 6. Let u(a) = -25*w(a) + 6*y(a). What is u(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 1. Let g be r(2). Let n(a) be the second derivative of a**4\/12 - a**3 - 3*a**2\/2 - 9*a. Let c(p) = p. Determine g*n(t) + 4*c(t).\nAnswer: t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -14*c**2 - 478*c - 116. Calculate p(-34).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.71 and 17471340.\nAnswer: 17471345.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -1.1. Which is the second biggest value? (a) f (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54849 and 423.\nAnswer: 164547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttettttttt. What is prob of picking 3 t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152583641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66775?\nAnswer: 5, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 42 = -3*v, a + 0*a - 3*a + 13 = v for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-3\/2))\/(s*s*s**(-2\/29)))**(-9\/4)\/(s*s*s\/(s*s**(-3))*((s\/(s**3*s))\/s)\/s)**(10\/7) assuming s is positive.\nAnswer: s**(-297\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 433986 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 + 33. Let o = k + 69. Factor -12\/7*c + o - 4\/7*c**2.\nAnswer: -4*c*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*3*219\/((-24309)\/(-74))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 110472.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 36127*m**2. Let g(d) = 170*d. Calculate n(g(s)).\nAnswer: 1044070300*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4063 is divided by 4006.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/5)\/(8\/(-160)*-4*-2)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - t**2 + 208*t - 1088.\nAnswer: -(t - 8)**2*(t + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 870, 1473, 1484, 609, -1446, -4975?\n\"Answer: -49*i**3 - 2*i**2 + 952*i - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54852)\/(-24) - (-6)\/4. Let h = c + -11488\/5. Calculate the common denominator of h and 43\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66476, -66479, -66482, -66485?\nAnswer: -66488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-7 - -6) + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8012.108 minutes?\nAnswer: 480726480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16548996*i - 98737679 wrt i.\nAnswer: 16548996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 20, -184 in increasing order.\nAnswer: -184, 16, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2840 is divided by 261?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 4\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvy when three letters picked without replacement from {i: 1, t: 1, z: 1, v: 2, y: 2, d: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 12 - 17*o + (-8 + 8 - 7*o)*(4 - 2 - 1) + 7*o - 3*o - 2*o.\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1612047329 + 1611905597.0047. Let w = 141724 + x. Let z = w - -8. Round z to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5068\/3 + 1679. What is the nearest to q in -0.5, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 76*j - 5. Let p = 38 + -36. What is the tens digit of m(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3707216 to the nearest integer?\nAnswer: 1925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 39631?\nAnswer: -3\/39631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 214 = 266. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Let l = 0 + n. Let u = -1 + l. Solve -4*s + u*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -4*f + 5*z - 1854, -2*f + z = -934. Let l be (0 + f)\/(-1 + -4). Let u = l - -94. What is the closest to u in -1\/10, -0.4, 4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1414.07 + -1414. Which is the closest to 2? (a) j (b) -0.2 (c) 21\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132120002310 (base 4) to base 3.\nAnswer: 112222112220200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -501*k - 8532. Calculate r(-17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.5 - 13.42. Let h = 1.080285 - v. What is h rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -525953, -2\/19, -0.1, -2\/13, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + a + 1. Let w = 12 - 6. Suppose 4*t - t = -w. Give q(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 6*g - 4. Let r(q) = -q**2 - q + 1. Let d(b) = -20*r(b) - 5*s(b). Find the second derivative of d(o) wrt o.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 15*j**2 - 8*j + 1. What is the hundreds digit of f(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84626653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267276 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 m(q) = -q**3 - 48*q**2 - 575*q - 993. What is m(-30)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w**2 - 85*w + 85*w)*(-w**2 + 4 - 4 + (-4*w + 3*w + 3*w)*(2*w - 4*w + 0*w) + 3 - 3 + 2*w**2 + w**2 + 3*w - 3*w - 4*w**2 + 5*w**2 + 0*w**2).\nAnswer: 7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 1, z: 1, f: 1, j: 2, a: 11}. What is prob of sequence fg?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -146521.52062 rounded to zero dps?\nAnswer: -146522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -173 - 5?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**2 + 39*i - 21. What is g(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 12. What is the remainder when f is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -270.9?\nAnswer: -108.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5913*t + 59090. Determine r(-10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = 4*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95460 and 20640.\nAnswer: 763680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -11*t - 6. Determine b(-5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 207?\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2746781 is divided by 274640.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*l = -280*l + 72 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/22 (b) 3\/17 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22678871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26776 or -26778?\nAnswer: -26776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 103 + 686 = 0. What is the remainder when f is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*n = 2. Suppose -3*d + 12 = -n*d. Suppose 5*f - 35 = l, -f = l - 1 - 0. What is the greatest common divisor of f and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4\/3 (b) 3 (c) 1\/68 (d) -13\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*h - 78*h + 5208 = 0. Solve -176 = 2*j - h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**27)**(-29\/2) assuming i is positive.\nAnswer: i**(-783\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 2\/23, -67737, 0?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 81881\nAnswer: -81873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 58.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c - 3*c)*(-2 + 7 - 3)*(4*c - 6*c - 10*c).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 6526608.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1279 = 4*r - 105*r - 5622 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1138 - -1134. Let t be (-77)\/14*(-28)\/2. Let j be 18\/(-63) + 36\/t. What is the smallest value in j, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -13. Suppose 2*y = -2*y + 2*c - 62, -4*y + c - 65 = 0. Let p = h + y. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -373491 divided by -3?\nAnswer: 124497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) -0.3 (c) -2\/113 (d) 1\/7 (e) -638 (f) 38 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 427 and 1575.\nAnswer: 96075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 112527.\nAnswer: -112517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 2, w: 2, t: 2, r: 1, n: 1}. What is prob of picking 1 c and 1 n?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*y - 1. Let b(v) = v**2 + v + 7. Let t be b(y). Let u = -11 + t. Solve 5*j = j + u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.79346l to millilitres.\nAnswer: 5793.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/(j**(-3\/8)*j*j))\/(j*((j*j*j**(-1)*j)\/j)\/j*j)**(-3\/11) assuming j is positive.\nAnswer: j**(81\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1917 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-25)\/5)\/(-1) - (28 - 24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 358595*r**2 - 358595*r**2 - 1503*r**3 + (3*r**2 + 0*r**2 - r**2)*(6*r - r - 3*r).\nAnswer: -1499*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64828, 131391, 197954, 264517, 331080?\nAnswer: 397643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-30)*(-38 + 18)\/4 - -114\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiibiikkb.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 410 + -3.3\nAnswer: 406.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.2. Let d = 0.0078 + 0.1022. Let h be 0\/(-3) + 6\/4. What is the third smallest value in u, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -3, -5, 2, 631\/5 in increasing order.\nAnswer: -5, -3, 4\/3, 2, 631\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 315 - 315.2. Which is the nearest to -2? (a) 10 (b) -16\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 89. Let x = 182 + q. What is the highest common divisor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -41.32. Let v = n + -0.32. Which is the nearest to 4? (a) 1 (b) v (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3011*h**3 - 92832?\nAnswer: -9033*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = 54. Let v(n) = 5*n**2 - 61*n - 249. Calculate the remainder when v(-4) is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2766 - -2880. Solve -g = -5*w - 84 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 + -3 + 2 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10262 + -10252. Solve -616 = -d*z - 586 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 93?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 24*q = -387. What is the remainder when q is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 578.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.201231 - 19451.198769. Let a = -19333.3992 - m. Let i = a + -118. Round i to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 1443949.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkkkbubkbbkuuubbkk. What is prob of sequence kubb?\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 31 = 3*z - 3*v, -2*v = 3*z - 79. Find the third derivative of 23*j**4 + 41*j**2 - 19*j**4 + z*j**4 wrt j.\nAnswer: 696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 772196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63.092 + 0.092. Which is the second smallest value? (a) -2\/3 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((15\/(-6))\/(5\/(-4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27801581 - 8017581. Round u to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65608 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**3 + 24*l**2 + 37*l + 6. Let u be n(-16). Is 70\/(-315) - u\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven halves of a decade?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q - 92 + 260 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 - (-3 + 4)*6. Suppose 4*x + 3*l + 7 = 0, -7*x - r*l - 33 = -11*x. Solve 0 = -q - x*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 - 878 + 3*n + 878.\nAnswer: -7*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1)\/(1\/4). Let d be ((-32)\/(-8))\/(-4)*7 + 7. Suppose -10 = 5*u, 1 = 2*r - u + 3. Put r, d, x in descending order.\nAnswer: d, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 59*c + 21543 = 0. Suppose 4*r - 1759 - c = 0. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319153*q + 2*q**2 + 319090*q - 638243*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqpcqpcpp. What is prob of picking 1 q and 1 c?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 2. Suppose -a = 2*a + 9. Let o = 0 + a. Let m be c(o). Solve w + 2 = 2*d, -3*w + m*d + 6 = 3*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**2 + 468*y + 472 = 0.\nAnswer: -1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5 - 4*v**4 + 3*v**3 + 18*v**2.\nAnswer: -v**2*(v - 2)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (126\/588 - 386\/(-28)) + -28. Let v be 14 + 2*3\/6. Suppose v - 3 = -r. Is r at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(32) - sqrt(19) - (sqrt(684) - (0 + sqrt(684)))**2 - (-6*-4*(sqrt(171) - (sqrt(171) - (1 + sqrt(171)))))**2.\nAnswer: -99072 - 13827*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 3. Let q be l(-6). Let n be (-32)\/(-60)*q\/4. Put n, -2, -0.1 in ascending order.\nAnswer: -2, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 40*w - 93. Let s(q) = 7*q**2 - 8*q + 9. Determine s(i(t)).\nAnswer: 11200*t**2 - 52400*t + 61296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 64746?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3608 * 3.\nAnswer: -10824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 + 225. Let q = -58 + n. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 4) to base 2.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 2*k + 151. Suppose -2*r - 3*r = 4*o + 13, -1 = -3*r + 2*o. Let h be (-4)\/2 + (8 - (r + 7)). List the prime factors of s(h).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(119)\/(sqrt(7)*-2))**2 + -1 + (((sqrt(170) + -1*sqrt(170))*4)\/((sqrt(240)\/sqrt(4))\/sqrt(6)))**2.\nAnswer: -4*sqrt(17) + 77\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 6:00 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 23*b = 19*b + 19, 33 = -l + 3*b - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0)*(2 + -4). Let r = m + 1. Let x = 2 - r. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/390 and -131\/390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (4 + -9 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a4 (base 11) to base 15.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*v - 63 + 15 = -153*v. Let -1\/4*n**3 - v - 20*n - 17\/4*n**2 = 0. Calculate n.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*u - 3 + 9*u - 10*u**3 wrt u.\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*l - 21, -3*l + 5*i - i + 8 = 0. Suppose -2*r - 4*z + 148 = 0, -l*r = 6*z - 3*z - 321. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 8:44 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Let b(h) = -2*h + 1. Let p(k) = k + 1. Let u(t) = i*p(t) + b(t). Let z = 33 + -32. Calculate u(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*j + 4, 8 = 5*j + 2*l + 2. Suppose w - 16 = -3*w. Solve 3*c - 30 = -3*u, 19 = w*u + j*c - 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 36*y**2 - 4*y - 165. Give m(-36).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, w: 18}. Give prob of sequence www.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 790, 4, -34, -3, 2 in increasing order.\nAnswer: -34, -3, 2, 4, 790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c + 18. Let a(t) = t - 1. Let y(x) = -10*a(x) - l(x). Let j be y(-4). Suppose -2*f + 193 = 5*h + j, 3*h = 3*f - 198. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 3:46 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50480 (base 14) in base 5?\nAnswer: 22133401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1293152 is divided by 23090.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28*(-278)\/(-4) + 2\/1. Let n(c) = c**2 + c + 4. Let u be n(0). Suppose -u*q - p = -8*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**5 - 370*o**4 - 12414*o**3 + 370*o**2 + 12412*o = 0.\nAnswer: -29, -1, 0, 1, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/260*0)\/(8\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 45\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 18 = 30. Solve s*u = d - 2, 5*d - 2 - 8 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h + 9*h + 4 + 3*h + 1 + 2*h**4 as y + o*h**2 + x*h**4 + v*h**3 + g*h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 993, 2423, 4617, 7959, 12833?\nAnswer: 19623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*q = 4*q + 9, 3*p + 17 = -5*q. Let v(o) = -o**2 - 4*o + 2. Let x(k) = -k + 1. Give p*v(z) - 2*x(z).\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -347 - -343. Let x be (72\/21 - 4)*t. Factor -32\/7*r - 4\/7*r**3 + 20\/7*r**2 + x.\nAnswer: -4*(r - 2)**2*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 2. Let o be i(-2). Let m be (-2)\/(-90) - o\/10. Which is the biggest value? (a) m (b) 0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 - 2*x)*(17*x**2 - 28*x**2 - 50*x**2) + 3*x**2 + 2*x**3 - 3*x**2)*(0 - 1 + 3) to the form p + h*x**3 + k*x**2 + v*x and give h.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/k)**(-5\/4)*((k*((k\/k**(-1)*k)\/k)\/k)\/k)**(11\/4) assuming k is positive.\nAnswer: k**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + sqrt(147)*-1 + 2)*2 + 0)**2.\nAnswer: -9800*sqrt(3) + 19600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j - 11. Suppose 0 = 5*a - 5*s + 35 + 115, -3*s = -12. Let y be -15*(-4 + a\/(-6)) + 15. Calculate q(y).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*i + 756 - 1364 - 3383 = 332 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q. Let j(m) be the third derivative of 0*m**3 - 1\/60*m**6 + 0*m**4 + m**2 + 0 + q*m + 1\/60*m**5. What is the third derivative of j(k) wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (1 - 9)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219323?\nAnswer: 13, 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 358 + -636. Let z be -1*q\/(-1 - (3 - 2)). Let o = z + 470. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 238*g + 238*g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 17 (c) 4\/11 (d) 0.6 (e) 3\/8 (f) 3 (g) 1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -305.71734 to the nearest integer.\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kaa when three letters picked without replacement from {a: 7, k: 12}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.599 + 2932?\nAnswer: 2922.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 102 and 67255758.\nAnswer: 67255860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -c - 2, -2*c - 3 - 1 = u. Let f = 15 - -3. Suppose v = -u*v + f. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 11 + 51 = 0. Suppose 7 = 3*t + 4*m - 6, m = -3*t + v. Solve b + t*b = 5*q - 40, -3*b = -2*q + 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - -6. Calculate the least common multiple of 8 and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59956 = 3*m - 5*o, 5*o + 76326 = 4*m - 3622. What are the prime factors of m?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 3392*c**2 + 1665740*c - 166744200.\nAnswer: -4*(c - 185)**2*(c + 1218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g\/(g\/(g*((g**(-3\/20)\/g)\/g*g)\/g)*g)))\/(g*g\/g**(-30)))**(3\/7))**(-5\/7) assuming g is positive.\nAnswer: g**(1671\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 2.9. Let t = w + 2. Let v = -4.22 - 0.78. What is the second biggest value in 1\/5, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from xroorboroodoo.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -16*a**3\/5 - 185041284*a**2 + 693904828*a\/5 + 231301608\/5 = 0.\nAnswer: -57825402, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6020227.9851 - -6020573. Let u = k + -345. Round u to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/808 and -34\/5.\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2936839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*h + 11*h + 10*h)*(-1 + 1 - 2) + h + h - h - h - 3*h + 3*h + (-h + 2 - 2)*(-3 - 4 + 5) + 4 + h - 4 in the form w*h + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 123271033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3281535371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 0.18927740275?\nAnswer: 1.18927740275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k - 1. Let y be g(2). Suppose 4*a - y*a + 3 = 0. Suppose 2*d + 3*b + 572 = a*d, 1179 = 2*d + b. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 759*d - 1 + 51*d**2 + 759*d - 15*d**2 + 3*d**2 - 1518*d.\nAnswer: 39*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99731.07 - -99267. Let q = 464 + w. What is the closest to -0.2 in 3, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**3*f**2 + 107*c**3*f + 7*c**2*f**2 - 6*c*f**2 + 3*c + 51*f**2 - 9 wrt c?\nAnswer: -18*c*f**2 + 642*c*f + 14*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x - 2*x)*(-5 - 1 + 5) - 2*x + 5*x + 0*x - x + 0 + 0 + (-2 - 2 + 5)*(-5 - 2*x + 5) + 3*x - 7*x - 6*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 - -2) + (0 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c - 2*c - 4*c. Let h(x) be the second derivative of -x**4\/6 + 6*x. Determine w(h(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**10)**(-22)\/(p**(-16)*p*p*p**(1\/7)*p) assuming p is positive.\nAnswer: p**(-1450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(((-119)\/85)\/(-7))\/(12\/(-12)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -338 + 1191 - 2*b + 157 + 4 - 4 - 3*b + (-3*b + 0*b + b)*(1 + 1 - 1) + b - 4*b + b in the form w + g*b and give w.\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5826, 11646, 17466, 23286?\nAnswer: 29106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -51370 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*((-1)\/4)\/((-6)\/8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -9, -1\/52?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 488482 rounded to the nearest 1000?\nAnswer: 488000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 - 7*g**2 + 8*g. Let j = -12 - -6. Let l(o) = -84*o**3 + 14*o**2 - 15*o + 80*o**3 - o**2. Determine j*l(c) - 11*t(c).\nAnswer: 2*c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.2 (b) -2.48285 (c) 2\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-14))\/(715 - 695)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19563791.\nAnswer: 13, 1504907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/5692 and -37\/15653?\nAnswer: 62612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 38020*c**2 + 113986*c - 1064392.\nAnswer: 2*(c - 4)*(c + 7)*(c + 19007)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 1. Let o be v(2). Let p(z) = 13*z - 1. List the prime factors of p(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 32 (c) -4 (d) -5 (e) 1.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 5*q**2 + q - 2. Let f = -9 - -14. Let m be k(f). Suppose 0*i + s = 5*i - 1779, m*i - 3*s - 1077 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxwxwxxxxwxxxxx. What is prob of picking 2 x?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*g - s - 3*s, -3*g + 3*s = -36. Solve 2*n + j + g = 5*n, 4*n - 10 = -j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1152096620 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4830678 to 3 decimal places.\nAnswer: 0.483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*z - 6 = -2*h, 4*h + 3*z = -5. Which is greater: -1\/184 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k - 21*k**3 + 0*k + 4*k**3)*(-124 + 133*k + 242 - 119) as s*k + p*k**4 + v*k**3 + b + d*k**2 and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5 - 3*u**2 - u**3 + 4*u**2 + u + 4*u**2. Let n = 45 + -40. Let s be r(n). What is the greatest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*j + 3*c - 11, 0 = 2*c - 6. Let p be (2 - 2)*j*1. Let l be (-50)\/(-250) + -1 + (-4)\/(-5). Solve l = b + 3 - p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154800, -309603, -464406, -619209, -774012?\nAnswer: -928815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -16. Let r = -5 - f. Let j = r - 1.00015. Round j to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*i**3 + 481*i**3 - 875*i**3 - 54124*i**2.\nAnswer: -i**3 - 54124*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*o - 21*o - 9*o + (0*o + 0*o + 2*o)*(10 + 9 - 11))*(-o**2 - o**2 - 2*o + o).\nAnswer: 70*o**3 + 35*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*m + 31. Suppose a - 29 = -5*w, -1 = w + 3*a - 18. Solve -w*r - 12 = m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -12952, 3, 2, 4, 1, -5 in descending order.\nAnswer: 11, 4, 3, 2, 1, -5, -12952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b + 1. Let i(j) = 7*j + 1. Let d(x) = -5*i(x) + 6*m(x). Let a be -2 + 10 + (-3 - -3). What is the units digit of d(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 291898 - 24515 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 12*w**2 - 45*w**2 + 0*w**2 - 32*w**2 - 5*w**2. Let d(u) = -7*u. Calculate d(z(t)).\nAnswer: 490*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isvffsuziisss. Give prob of picking 1 i and 1 f.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -24.4. Let r = 15.8 + -17. Let w = r - 3.8. What is the biggest value in w, g, -14?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2151685 millilitres?\nAnswer: 0.0002151685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -375770 divided by -184?\nAnswer: 187885\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-28)\/(-3)*-1*1. Is u not equal to -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 39 - 11 - 22)*(-f + f + 2*f) - 2*f + 2*f - 2*f**2 + (1 - 4 + 1)*(3*f**2 + 0*f**2 - f**2) - 4*f**2 - f**2 + 4*f**2 + (-4*f - f + f)*(-f - 4 + 4).\nAnswer: -5*f**2 + 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 95695?\nAnswer: 1\/19139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1185*f**3 - 94431*f + 89416*f + 1430 + 6470*f**2 - 2435*f**3 - 5*f**5 + 740*f**4 = 0 for f.\nAnswer: 1, 2, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/9636 and 3\/572.\nAnswer: 125268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3093, -10308, -22337, -39186, -60861, -87368, -118713?\n\"Answer: -n**3 - 2401*n**2 - 5*n - 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -9*s + 1. Let t be o(2). Let i be 2\/3*(1 - t). Suppose -2110 = 53*p - 4018. Calculate the greatest common factor of i and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*v + 4*s + 3201 = 6*s + 1079, 109*v - 113*v + 3*s + 51 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 8. Let o = 8 + -9. Let v be 2\/o + 0 - 4. What is r(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 526286*m - 1578849.\nAnswer: -(m - 526283)*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {y: 4, i: 5, w: 1, f: 4, u: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(13\/(-21) - (-14)\/49). Let r(p) = -p + 4*p**2 + 32*p**3 + 7*p**3 - 9*p**k - 3*p**2. Let v be r(1). What is the highest common divisor of v and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 a factor of 2048243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/((-8)\/54))\/((-1)\/6). Suppose -2*j + 20 = 3*j, -j = x - o. Does 35 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - 25 - (-5)\/((-140)\/212)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, d: 3, k: 1, q: 6}. What is prob of sequence qk?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-188)\/28 + (-6)\/21. Put 3, -2, c in descending order.\nAnswer: 3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-5 - -3)) + (-140)\/24.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/1695 - 1697\/3390. Which is the nearest to 21? (a) x (b) 2\/11 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 + (-55 - (-41 + -19))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8181000 rounded to the nearest 100000?\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46143?\nAnswer: 3, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 160\/(-8)*(-3)\/3. Let p = 24 - t. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3897199.31 to the nearest one hundred.\nAnswer: 3897200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -6. Let c be 119\/(-8) - i\/24. What is the units digit of c\/(-25) - 182\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*a - 14*a + 8. Let r be (-2 + 3 + a)\/1. Is r equal to -3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137*f**4 - 68*f**3*g - f**2 + f*g + 20*f + 20 wrt f?\nAnswer: -3288*f - 408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**9*g**15*g**(-23)*g*g\/g**(-2\/25) assuming g is positive.\nAnswer: g**(77\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 4*g + 896. Suppose 0*u = 14*u - g. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwrw when four letters picked without replacement from {w: 3, r: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.15 + -0.85. Which is the fourth smallest value? (a) -3\/2 (b) 0 (c) 4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.969 - -1.069. Which is the fourth smallest value? (a) -1 (b) -1\/5 (c) m (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 + 2)*(j + 0*j - 3*j)*(7*j - 47 + 47) - 110*j + 110*j - 3*j**2.\nAnswer: 67*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 4194.42 and -1.8.\nAnswer: 4192.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -1673 and -1672 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*c = -67*c + 495000000. Suppose -2*u + 4*u - 4 = 0. Suppose u*w - c = -3*w. Round w to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5198617107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**2\/2 - 16*s - 5. Let u be h(-14). Let x be ((-1275)\/6)\/(u\/3200). What is x rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = 0, 6*s - g = s + 38. Let f(c) = -8*c + c - 3*c + s*c. Let h(t) = 10*t**2. Calculate f(h(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/15)\/((-4)\/(-6)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*z + 108*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7395381*s**4 - 11*s**2 + 11078*s - 1207?\nAnswer: 88744572*s**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -673. Let d = -601.812 - r. Round d to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**17*k*k**(-2\/53)\/k)\/(k\/k**(-8\/3)*(k\/(k*(k*k\/k**(-4\/7)*k)\/k))\/k) assuming k is positive.\nAnswer: k**(18773\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 34 (b) -1 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 2*m**2 + 2*m. Suppose 4 = -14*u + 16*u. Let j(f) = 3*f + f**2 - 1 + 2*f**2 - 6*f**2 - 2*f**3. Give u*j(x) - 3*v(x).\nAnswer: -x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5209519*z**2 - 5209505*z**2 - 4*z + 10418990*z**2.\nAnswer: -34*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 7:55 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d. Let x be i(5). Suppose -x*u - 48 = 2*n - 151, -u + 3*n = -24. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrv when three letters picked without replacement from mvwwvkwraaakv?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2553*z = -833*z + 5160 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181*(-1)\/(-2)*(-18)\/(-9)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 + 31 = -i, -3*i - 4*a - 75 = 0. What is the common denominator of (21\/(-40))\/(i\/(-182)) and 43\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/5)\/((6\/(-42))\/(35\/(-49)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 1374.\nAnswer: -1\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - p**2 + p**2 + 897633 - 911323.\nAnswer: 2*p**2 - 13690","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (sqrt(132) - (sqrt(132)*1*-6 - sqrt(132))))\/sqrt(3))\/((sqrt(16)\/sqrt(4)*5 - sqrt(4)) + sqrt(4) - 1*sqrt(12)\/sqrt(3)).\nAnswer: -7*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -12, -53, -128, -249?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 7*r = 44, 4*r + 676 = -4*w + 648 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2))**40*(j\/(j*j**(-3\/2)))\/(j*j*j**(2\/39)*j*j))**45 assuming j is positive.\nAnswer: j**(20415\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 104852263 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 741 = 741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.51 + -6.51. Suppose -2*z = -11 + 3. Which is the nearest to 0.03? (a) -5 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2955865 divided by -55\nAnswer: 53743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + m. Suppose -2*t + 6 = -x + 4, m = -3*x - t + 15. Suppose -q + 6 - 52 = -4*a, -2*q + 40 = x*a. Solve a = -2*p + 3*p - 5*r, -3*p + 3 = -5*r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 8*n = 2. Let m be 1\/(((-21)\/18)\/(-7)). Let u = m - 6. Which is greater: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/8*(16\/12)\/(10\/(-5))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.05165268 from 2.36.\nAnswer: 2.30834732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 12:34 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9774*x + 0*x**2 - 9774*x + x**2. Let v(a) = -287*a. Calculate u(v(r)).\nAnswer: 82369*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -472040*m*v**5 + 1734*m - 83*v wrt v?\nAnswer: -9440800*m*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 2\/45 (c) 4 (d) 3\/4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 11) to base 5.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -333016260 times -0.3\nAnswer: 99904878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50628372 and 33752248.\nAnswer: 101256744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8750 + -8750.011. Which is the third smallest value? (a) -2\/7 (b) k (c) 0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoooxxovuu. What is prob of sequence vuu?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 - 104. Suppose 17 = 5*x + 5*a + 2, 4*x = a + 7. Suppose -x*z + 34 = 2*d, 3*d + 5*z - 54 = 3*z. Is d at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1330 + 1375. Calculate the highest common divisor of 495 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87837437 to the power of 1\/2, to the nearest integer?\nAnswer: 9372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.78307 to 1 dp.\nAnswer: 52.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*j + 269*j = -2*b - 24, j + 7*b = 31 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 948289, 948295, 948301?\n\"Answer: 6*f + 948283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 2375*s - 55167. What is m(-23)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 6 - 189\/2*o + 18*o**2 - 1\/2*o**3. Let c(n) = 0. Calculate n.\nAnswer: 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**5*x - 81*l**4*x + 2*l**2 - 299*x wrt l?\nAnswer: 180*l**2*x - 1944*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -444412001 - -23?\nAnswer: -444411423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctccccctccc. What is prob of picking 4 c?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 14*v + 111. Determine c(6).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 139*u**2 + 722*u**5 - 356*u**5 - 361*u**5 - 3*u - 7*u + (-3*u**4 + 0*u**4 + 2*u**4)*(1 - 1 - u).\nAnswer: 6*u**5 + 139*u**2 - 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8517 + 8511. Let c = -1.3 - -0.3. Let h = 0.8 + c. What is the smallest value in u, 5, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.79858 rounded to one dp?\nAnswer: 27.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/7 - 4*q**4\/7 - 4810*q**3\/7 - 9588*q**2\/7 = 0. What is q?\nAnswer: -47, -2, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v + 2*v)*((-v + 0*v - 7*v)*(v + 3*v - 3*v) + 3*v**2 - v + v).\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 - 9.28. Let f = 11.6 + i. Round f to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2101, -2157, -2249, -2377, -2541?\nAnswer: -2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 5:08 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749353585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (3 - (1 - -2)). What is the nearest to -2\/7 in -2, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8*i**2 - 14*i + 7. Let u(c) = c**2 + 2*c - 1. Let p(l) = 3*h(l) + 21*u(l). Let d(r) = 3*r - 40. Give p(d(x)).\nAnswer: -27*x**2 + 720*x - 4800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/(-72))\/((-175)\/100).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 12*b - 17. Let c be z(7). Let i(p) = -93 - 29 + 191 - p. Let d be i(-21). What is the greatest common factor of d and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 174, 232, 290, 348?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e34f149 - -2?\nAnswer: -e34f147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 20*m + 15.\nAnswer: 5*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27*(8\/(-28))\/(12\/14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*329\nAnswer: -65.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/11 (b) -1 (c) -5 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44058163 is divided by 895?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 5*b - 13, 2*f - 3*b = -0*b + 21. Let g be -6*5\/(-135) - (-32)\/18. What is the third derivative of -4*l**4 - 9*l**g - 23*l**f + 23*l**3 wrt l?\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 660 divided by 165.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - -956 - 5 - -6. Let i(x) = -j*x - 969*x + 1936*x + 9. Give i(-8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*m - 8 = -155*m. Solve 4*s + 4*i = 0, -m*i - 2 = 2*s + 2*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 184 - 192 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 5. Let x be p(-5). Let c(a) = a**3 - 4*a**2 - 5*a + 2. Let k be c(x). Let i(j) = 2*j**2 + j - 1. Give i(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 33*v**2 + 85*v + 34. Give l(-35).\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2)*50\/15. Suppose -2*z - 280 = 3*h - 2725, -m*h + 3*z + 4094 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/(-3))\/((-4)\/(-24)). Let x = t + 16. Suppose 0 = -x*p - p + 24. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 46*q - 1709. Give m(44).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + 0*f + 2*f)*(0 + 2 - 1) + 3*f - 2*f - 3*f + 2*f - 89 - 84 + 136 as q*f + b and give b.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcroiokigikr. Give prob of picking 1 g, 1 c, and 2 k.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 378\/3*((-2470)\/(-2964))\/(((-10)\/(-3))\/(-2))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**2 + 2*t**3 + 4*t**2 + (3*t - 3*t + 2*t)*(-2*t**2 + 5*t**2 + 0*t**2) + t**3 - t**3 - 3*t**3 as n + q*t**3 + f*t**2 + s*t and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -7 + 20 - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1344*g + 11*g**2 - 5 + 4*g**3 - 1339*g + 2*g**3. Let q(b) = b**3 + b - 1. What is a(f) - 5*q(f)?\nAnswer: f**3 + 11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 141912271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122667355 divided by 4685.\nAnswer: 26183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.28*-0.03\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63469 + 3819 = 836*i + 357*i for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-222)\/(-5) - 4\/10 is divided by 807\/(-3497) - 422\/(-26).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**6\/180 - s**5\/60 - s**3\/3 - 2*s. Let f(k) be the second derivative of n(k). Determine t so that f(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.27, -1, 1\/3, -0.2, 1 in descending order.\nAnswer: 1, 1\/3, -0.2, -1, -1.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9046 - -4.9046. Let t be 22\/56 - 1\/4. What is the biggest value in t, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 13, c: 6}. What is prob of sequence lcl?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18067 + 11?\nAnswer: 18078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(2 - 4)*-140.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22226329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 564.4672g in kilograms?\nAnswer: 0.5644672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 12*p + 45. What is v(-6)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36321885 and 900.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 116?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 54 = -12. Let x be (d\/(-49))\/(2\/(-14)). Let -15*o**5 - 21*o**4 - 2*o + 2*o - x*o**3 = 0. Calculate o.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 + 3829732 - 7659478 + 3829746.\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -3*t - 2*t. Let l = t - 47. What are the prime factors of (-6975)\/(-63) - (l - 9\/7)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 1 + 1)*(0 - 1 + 0) - 3 - 3 + 80449*r - 86274*r + 6.\nAnswer: -5824*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93090*a**4 + 19910*a**2?\nAnswer: 2234160*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -130*r**3 - 3*r**2 - 95. Let o(b) = -261*b**3 - 5*b**2 - 189. Let i(f) = 3*o(f) - 5*u(f). Find the first derivative of i(j) wrt j.\nAnswer: -399*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2. Let b be s(-1). Let j be b\/((-2)\/44*-2). Suppose 0 = -2*q + g + 15 - 3, -5*g = 2*q. Solve -q*v - 14 = j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -366.82 + -2.0814.\nAnswer: -368.9014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.51 - 0.06019351\nAnswer: -0.57019351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 - 2. Let q = -5.4 - a. Let w = 404 - 403. Put w, q, -0.5 in decreasing order.\nAnswer: w, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**3\/2 + 3*k**2\/2 + 42*k. Give n(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14375846 and 1.\nAnswer: 0.14375846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + (2 - 2) + 1. Let t = f - 14. Which is smaller: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -14*f**3 + 26*f**2 - 21*f + 38. Let k(w) = 5*w**3 - 9*w**2 + 7*w - 13. Let y(d) = 11*k(d) + 4*l(d). What is y(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41974 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, k: 2}. Give prob of picking 3 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(35)\/(sqrt(5) - 4*sqrt(125)))**2.\nAnswer: -1076\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 2*s**2 + 117 - 105 in the form v*s**2 + h*s + c and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/15 - 16*l**3\/15 + 44*l**2\/15 - 16*l\/5 + 6\/5.\nAnswer: 2*(l - 3)**2*(l - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**3 - 19535*b**2 + 19538*b**2 + 6*b**3 to the form q*b**2 + o + k*b**3 + i*b and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/31962 and 45\/42616?\nAnswer: 127848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57.17 and 0.0205.\nAnswer: -1.171985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 246240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3072.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**3 - 9\/8*a**2 + 5\/16*a**4 + 0*a + 146. Factor n(j).\nAnswer: j*(j - 3)*(5*j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2665*(-2)\/((-72)\/(-4444)). Let y = j - 1\/533. Which is bigger: y or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -133757*l**2*m + 2899*l**2 + 32*l*m - 6*l - 30 with respect to m.\nAnswer: -133757*l**2 + 32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 16 + 2*u**2 + 2*u**2 - 6*u**2 + 40*u as m*u**2 + h*u + b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*f + 12 = 0, 12*w + f = 9*w - 5. Put w, 2, 5, 4 in increasing order.\nAnswer: w, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + w - 72 + 73. Let y be n(-4). Let p be 2\/(-4)*12\/(-27). What is the closest to -0.1 in p, y, -3\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 175620?\nAnswer: 1\/175620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307254.\nAnswer: 2, 3, 41, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5048397 (base 10) to base 4.\nAnswer: 103100201031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 113 - 113 + (2 - 3 + 0)*(-4*o + o + o) - 4*o - o + o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - 2*r**2 - 3*r**2 + (0*r**2 + r**2 - 6*r**2)*(-2 + 2 - 1) + 2*r**2 + 2*r - 2*r + (4 + 0 - 1)*(3*r**2 - 2*r**2 + r**2).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724972934.\nAnswer: 2, 7, 157, 47119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1824, 1821, 1818, 1815?\n\"Answer: -3*j + 1827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1234149*g**4 - 1306122 with respect to g.\nAnswer: -4936596*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 10, -243, 1, -27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*g + 606, -5*r = 10*g - 6*g - 1492. Is 50 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -3\/2, -4, 3\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2. Let k be q(0). Suppose -u + 4 = 7. Let s = k - u. Solve -2*f - 15 = s*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y - 29*y + 2*y**2 - 6 + 1 - 3*y**2 + 0*y**2 to the form p + c*y + u*y**2 and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 4. Let d be h(5). Let v = 27 - d. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + sqrt(76)*2*5 + sqrt(76) + sqrt(76))) + sqrt(76))\/(sqrt(4) + sqrt(36)\/(2*sqrt(9)) - sqrt(4)).\nAnswer: -22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + -8 - 8) + 5 - (-7 - 10).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -13*n**2 - 5*n - 2. Let v(f) = 6*f**2 + 3*f + 1. Give 2*r(i) + 5*v(i).\nAnswer: 4*i**2 + 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2\/15 - (-336)\/2205).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -989, 285, 2 in increasing order.\nAnswer: -989, 2, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**7\/f)*f)*f\/(((f*f\/(f*f**18*f*f))\/f*f)\/f))**(5\/2))**(-36) assuming f is positive.\nAnswer: f**(-2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00703 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.4*8.\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 9:07 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p. Suppose 15 = -0*b - 3*b. Let k(d) = d. Let l(g) = b*h(g) + 20*k(g). Let s(n) = -3*n**2 - n**2 + 3*n**2. Calculate l(s(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 344333527 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230194 is divided by 4229?\nAnswer: 1828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9174288451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/((-1140)\/3330)*(-3)\/(9\/(-1))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 11*h = -14*h - 18, -3*h = 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 100, -727, 0.1, -3, 0.5, -5?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-93)\/(-1 + (-18)\/(-21)). Let a = -5903\/9 + n. Let s = 20920\/11 - 1899. Calculate the common denominator of a and s.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**4\/4 - 185. Factor a(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Let k(h) = h**2 - 34*h + 208. Let p be k(8). Solve -o*u + 3*q = 0, 4*u + q + p*q = -25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 0 + 2*b**3 + 0*b**2 - 2\/3*b**4 - 1\/5*b**5 + 10*b. Factor c(t).\nAnswer: -4*t*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242750 (base 8) to base 7.\nAnswer: -465146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Let p = 0.41 + -0.11. Let v = -9.6 + 9.2. What is the closest to s in p, -4, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 7.9, 2\/7, -4, 5, 3\/7 in descending order.\nAnswer: 7.9, 5, 3\/7, 2\/7, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20069*o**4 + o**3 + 78*o**2 + 77*o**2 + 20076*o**4 to the form g*o**3 + a*o**2 + t*o**4 + z + l*o and give a.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 507301 + -199878. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5919109497.31586 + 5919058023. Let t = 52004.311 + r. Let v = t - 530. Round v to 4 decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14.09 and -5.\nAnswer: 9.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*m**5 + 2\/5*m**2 - 29\/5 - 58\/5*m**3 + 57\/5*m + 27\/5*m**4.\nAnswer: (m - 1)**3*(m + 1)*(m + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**6\/10 + 9*p**5\/10 - 13*p**4\/4 + 6*p**3 - 6*p**2 - 5*p. Factor b(z).\nAnswer: -3*(z - 2)**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9376 + 8467.99. Let w = -912 - p. Let o = -0.01 + w. What is the third biggest value in 0.5, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*k - 62*k - 38676. Let w = -12300\/7 - k. Factor -15\/7*o + w + 12\/7*o**2 - 3\/7*o**3.\nAnswer: -3*(o - 2)*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9692*z + 9295*z + 24614 for z.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207cc (base 14) to base 12.\nAnswer: 39440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*(z**0*z)\/z)\/(z**(-2)*z**5\/z)*((z*z**0*z*z)\/z)**(-40)*(z**(-3\/2)\/z)\/((z**(-1)*z)\/z) assuming z is positive.\nAnswer: z**(-165\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 8*c**3\/3 + 2*c**2 + 4*c - 8541. Let z be -2 + (-1)\/(1\/(-6)). Let j(l) = -7*l**2 - 3*l - 3. Give z*j(k) + 3*t(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -7*s**2\/2 - 30*s + 19. What is the tens digit of u(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*k + k. Put k, -8, 4 in increasing order.\nAnswer: -8, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135613670 rounded to the nearest one million?\nAnswer: -136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*y**3 + 1 - 66*y**3 + 0 to the form f*y + k + c*y**3 + a*y**2 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 4:38 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*y + 12341 = -389*y + 2330 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -17*i + 2 - 2. Let f(a) be the second derivative of -a**3\/6 - 6*a - 9. What is f(k(r))?\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3374.3 or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 900\/14 + 8\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 50*m - 1309. Let k be s(69). Solve 3*v + k*g + 11 = 0, -3*v - 11*g = -15*g + 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 12239.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30 or 35668?\nAnswer: 35668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + c - 224 + 289, 268 = 4*a - 5*c. Calculate the remainder when a is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 4, -1, -6, -11, -16?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 214183618 to the power of 1\/3, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**4\/p)\/(p*p**3\/p*p))\/((p*p*p**1*p)\/p*p)**(-1\/6))**(-44))**(-3) assuming p is positive.\nAnswer: p**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(7\/2)\/c**(1\/8))**11)**(7\/8))**46 assuming c is positive.\nAnswer: c**(47817\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*u**2 - 10*u + 10*u)*(0 - 1 + 0 + 6 + 1 + 8 + (4 - 6 + 1)*(-2 + 3 + 1) - 2 + 4 - 1).\nAnswer: -143*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9011 = 14415*f - 15211*f + 12577 + 2292 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3)\/k**(1\/14))**(-1\/31) assuming k is positive.\nAnswer: k**(1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118160 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 37*a**2 + 40*a + 8. Is 16 a factor of o(36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55841 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 12 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 7*t**2\/2 + t + 13. Give z(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)\/sqrt(275))\/(6*(sqrt(21)\/sqrt(3) + sqrt(7) + sqrt(7))).\nAnswer: sqrt(7)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 6*d**2 + d + 6. Let j be s(-6). Suppose j - 11 = -n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*r - 11, 679 = 3*b + r. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (238 + 32 + 219 + 114)*(0*a**2 + 2*a**3 + 0*a**2).\nAnswer: 1206*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1093, 438.\nAnswer: -4, 438, 1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*q + 22 = 3, 0 = 3*t - 2*q - 17. Solve -t*p = -13 + 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 17*t + 29. Let z(o) = -6*o - 10. Let n = 3481 + -3477. What is n*f(u) + 11*z(u)?\nAnswer: 2*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkzk when four letters picked without replacement from ttkzzkkkkzzkk.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -37*s**2 + 10*s**2 + 9*s**2 + 16*s**2. Let d(p) = 19*p. Give d(v(t)).\nAnswer: -38*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10545*b**2 + 5352*b**2 + 5198*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 523083 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1675 divided by 283283\nAnswer: 1675\/283283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 234*p**2 + 2*p**3 + 234*p**2)*(-6380*p + 2942*p + 2800*p + (0 - 5 + 4)*(-2*p - p + p)) in the form g*p + r*p**3 + n*p**4 + k + m*p**2 and give g.\nAnswer: -1272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00044315092 to 7 dps.\nAnswer: -0.0004432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 11 = 49. What is the remainder when 58 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/6)\/(180\/40*2\/(-54)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5452 greater than 5451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*3\/(-27) - (-35203)\/(-63). Let l = -162 - f. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*3 - (-2)\/1. Let z(l) = -5 + 2*l - 6*l + 2*l + 5*l + l**2. Calculate z(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6219989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103563255.\nAnswer: 3, 5, 6904217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4185, -8344, -12467, -16548, -20581, -24560?\n\"Answer: u**3 + 12*u**2 - 4202*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a1210871 + 0?\nAnswer: a1210871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 107866 (base 9) to base 16\nAnswer: fd5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1237 + -1234. Let p be (8 - 0) + -2 + -2. Sort p, -5, x, 2 in descending order.\nAnswer: p, x, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -374412*b**5*q - 49*b**2*q - 485*q wrt b?\nAnswer: -22464720*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13092 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 + 5*p**5 - 3*p**5 + (5*p - 2*p + 0*p)*(-p**4 - 2*p**4 + 10*p**4) + p**5 + 2*p**5 - 8*p**5.\nAnswer: 19*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - z + 0*z - 13684 + 13740 = 0, 0 = -4*i + z - 35 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 174472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/(-252))\/(40\/(-36))*25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -61766, -123855, -186568, -250217, -315114?\n\"Answer: -52*j**3 - 61725*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.559*-61.\nAnswer: 34.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2254384932.\nAnswer: 2, 3, 187865411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*x + 315, -x + 0*x + 38 = 4*o. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5770627?\nAnswer: 41, 97, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1263 + 1260. Sort v, 45, -5, 0.1.\nAnswer: -5, v, 0.1, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 867776 and 22946?\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507*f + 1636*f - 906*f.\nAnswer: 1237*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -2110102202000?\nAnswer: 2110102202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(4312\/48)\/(-49)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + c - 1, 3*c - 3 = -2*l. Let b be 138\/24 + 1\/4. Let g be (16\/(-14))\/(b\/(-21)). Solve 5*t + l*o = o - g, -16 = -t - 4*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 3:09 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**5 + l**4\/2 + l. What is the third derivative of n(p) wrt p?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(27) + sqrt(81)\/sqrt(3))\/sqrt(9)) + -4 + -4 - -5*(2 + (sqrt(15) + sqrt(375))\/sqrt(5)))**2.\nAnswer: 116*sqrt(3) + 2527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 11 - 18)*(-7*l - l + 2*l)*(3 + 0 - 6) + (3 + 1 - 3)*(5*l - 5*l + l).\nAnswer: -629*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-2)\/(-2))\/((4\/2)\/(-30)))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-15))\/((-1)\/(-12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -102*q**2 - 937*q - 126. Give g(-9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by -1\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 132 divided by -1\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-7 + 21 + (-47 - -4))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8\/141 + -173\/564. Let i be 2\/(-5) - (-16)\/(-10). Sort g, -4, i.\nAnswer: -4, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1703 rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39875 by 25.\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2582?\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in centuries?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67280, 269117, 605504, 1076435, 1681904, 2421905?\nAnswer: 3296432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 275*i**3 - i**2 - 4*i + 14 wrt i.\nAnswer: 1650*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786801606.\nAnswer: 2, 3, 79, 1659919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 - 65 = -21*s + 199 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p - 7*p + 5*p - 9*p to h + l*p and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2168\/813)\/((-4)\/((-24)\/10)) + (-215)\/25?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-73 + 42 + 183)*(1 - 3 + 0) - 5 + 5 + 1)*(3*x - 6*x + 0*x)*(1 + 1 - 1) as o + h*x and give h.\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*f - 3*c, 2*c = -5*f + c + 12. Let o(j) be the third derivative of 0*j + 0*j**f - 1\/60*j**5 + 0 - 1\/24*j**4 + 2*j**2. Give o(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*f + 4. Let y(l) = -8*l**2 - 3*l**f + 13*l**2. Let u(b) be the first derivative of 4*b**3\/3 + 163. Calculate u(y(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -257603 - -2314291\/9. Let r = t - -460. Sort 3\/4, -1\/8, 3, r in descending order.\nAnswer: 3, 3\/4, r, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 235295775 and 9230?\nAnswer: 470591550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*d - 5*q, 0 = 3*d - 3*q + 4*q - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-1 - (-4 - -3)). Let k = 93\/203 - 5\/29. Which is smaller: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.12 + -0.28. Let i be ((-196)\/690)\/((-1)\/5). Let h = i - 2\/23. Put -0.2, h, b in increasing order.\nAnswer: b, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10019424, 20038847, 30058270, 40077693, 50097116, 60116539?\nAnswer: 70135962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 5:42 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 347 + -190. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -133 and -0.6241.\nAnswer: 83.0053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25188, -25189, -25190?\n\"Answer: -u - 25187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72570905?\nAnswer: 5, 11, 29, 173, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1618 + 5 + 2\/6*-24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 0. Let f = k - -5. Is (-206)\/(-13) - f\/(-13) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12124, -12172, -12254, -12376, -12544, -12764, -13042, -13384?\n\"Answer: -n**3 - 11*n**2 - 8*n - 12104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/4 + 4261*q\/2 + 25557\/4 = 0 for q.\nAnswer: -8519, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 25 = -5. Suppose -5*y + 77 = -2*r + 15, v*r = -2*y - 97. What is the units digit of -3 + (-10)\/(-5) - r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s - 2*s + s)*(2274 - 2*s + 2301 - 4633) in the form q + c*s**2 + j*s and give j.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 15*o - 4. Calculate z(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1572 and -45\/47422.\nAnswer: 284532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (135\/6)\/1 + -3. Let n = -20 + h. What is the nearest to n in 2\/17, 1, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-16 - -10) + (1 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1210 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 140753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*d + 80 + 132 = 32. Solve m + 3*m - d = o, 0 = 3*m - o - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3339 - 36730\/11. Which is the nearest to -19? (a) 2 (b) 0.8 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9 + (-689)\/(-2862)*(16 - 19).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*1\/1*1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 407.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0548 - -0.104. Round q to three dps.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 14*d - 31. Let n be z(-12). Let c(m) = -m - 2. Let w be c(n). Solve 2 = -7*b + w*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121525855.\nAnswer: 5, 11, 521, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 9*y - 5. Let q(v) = -v**3 + 9*v**2 + 3*v + 5. Let i be q(10). Let x = -55 - i. Let z(l) = -l - 1. Let w(b) = x*z(b) - 2*j(b). Factor w(d).\nAnswer: -4*d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 254 * -60\nAnswer: -15240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936561?\nAnswer: 3, 71, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2032 + -2033. Sort 4, 0.4, r, -41 in decreasing order.\nAnswer: 4, 0.4, r, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694832221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(7) + (sqrt(7) - sqrt(14)\/sqrt(2)))*4).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**3 - 19*i**2 + 2*i + 201. Let p(q) = 5*q**3 + 10*q**2 - 113. Let f(o) = -7*p(o) - 4*t(o). Calculate f(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(((-8)\/2)\/16). Suppose 0 = 33*h - x*h - 22243. List the prime factors of h.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 310 = -38*g. Calculate the remainder when 359 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 8*p**2 - p - 4. Let i be j(8). Let o = 15 + i. Suppose o*x - 54 = -0*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19108, 19110, 19112, 19114?\n\"Answer: 2*m + 19106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - 8c?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3156 + 3274 - (-2 - ((-6 - -3) + 20))?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/225834296 and -39\/8.\nAnswer: 225834296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2714 is divided by 143.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.2 + 28.7. Let y = m - 22. Which is the third biggest value? (a) 2\/31 (b) y (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2975 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - (sqrt(33) - (sqrt(2112)*2 + sqrt(2112))))\/(-5*sqrt(3)*-1)*2.\nAnswer: 48*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8155.28 or -17\/3?\nAnswer: -8155.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**4 + k**3 + k**2 + k. Let q(r) = 3*r**4 + 4*r**3 + 4*r**2 + 12*r. Let t(d) = -q(d) + 4*x(d). Find the second derivative of t(s) wrt s.\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.516 - 0.016. What is f rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14682181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2401 (base 5) to base 9.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 2*x. Let q be -3*(-1 - (-281)\/279). Let n = -52\/465 + q. Which is bigger: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 12*w. Let k(h) = h - 1. Let j(o) = 4*k(o) - l(o). Let p be j(8). Is -17\/6 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 113, 165, 217, 269, 321?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 252 = 2*b, 5*b = -3*i + 248 + 122. Suppose -8*o + i = -3*o. Calculate the remainder when o is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55\/19 or 4?\nAnswer: 55\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -123 + 241. Calculate the remainder when t is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000143029 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u**2 - 2216 + 583 + 471 + 579 + 583.\nAnswer: -34*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/48 - (-31)\/8. Suppose -18 - 10 = -3*o + 5*v, -2*o - c*v = -26. Suppose -5*d - o = -111. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412935684 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 223, 3, 1 in descending order.\nAnswer: 223, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2\/5 + 10355997*z\/5 - 10355994\/5 = 0.\nAnswer: 1, 3451998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 2:57 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 242 + -295\/4. Let d = 161 - j. What is the common denominator of d and 151\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**4 + 27905*p**3 - 42890790*p**2 + 10751611360*p - 21331882720 = 0.\nAnswer: 2, 307, 2636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1119 + 1159. Solve 0 = 22*s - r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -135, -193, -251?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**3 + 1368850*q**2 + 73903840*q + 142332320 = 0. What is q?\nAnswer: -273716, -52, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42696, 43222, 43736, 44232, 44704, 45146?\n\"Answer: -x**3 + 533*x + 42164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from {t: 3, v: 2, x: 1, l: 1, w: 1, h: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.090035 + -0.09. Round u to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*j - 5*j. Suppose -j*v + 58 = -7*v. Suppose -v = -2*h - t, 2*h - 6*t - 54 = -2*t. What is the remainder when 32 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21653587 and 11021.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*y + 38 = 0, 3*y + 29 - 6 = -u. Let q(i) = i**2 + 15*i - 6. Does 7 divide q(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 255864756 divided by 2\nAnswer: 127932378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -777 + 229. Let v = x - -1069. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*m + 10. Let s(l) = -l**3 - 7*l - 7. Let p be s(m). Suppose -4*u + 206 = 2*i, 3*i - 7*i + u + p = 0. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1634232168?\nAnswer: 1634232159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2058 divided by -20\nAnswer: -1029\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 69254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -14*q**3 - 2*q**2 + 15*q - 15. Let o(y) = -7*y**3 - y**2 + 7*y - 7. Let a(l) = 6*h(l) - 13*o(l). What is a(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -1\/6*l**3 + 1\/60*l**5 + 1\/8*l**4 + 0 + 0*l - 2*l**2. Let d(i) = -i**3 + 14*i**2 - 61*i + 76. Let g be d(5). Give b(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -636, 314, 1904, 4134?\n\"Answer: 320*p**2 - 10*p - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 103954.32 microseconds?\nAnswer: 0.000001203175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -2, -1\/9, 17\/5192, -3, 0.01, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5473\/4 in 1, 5, -0.2, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t - 8 - 1\/4*t**2 = 0. Calculate t.\nAnswer: 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 2)*(6*u + 0*u - 4*u)*(5 - 2 - 1) to i*u + j and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/7 - (26\/84 - 1\/(-7)). Put -0.8, -1, 68, q, 2 in decreasing order.\nAnswer: 68, 2, q, -0.8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 1\/8, -1\/2, -22?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 14*k + 3. What is the remainder when p(4) is divided by (25\/(-5))\/(2*7\/(-42))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 111*t**2 + 953*t - 3. Let y be d(-9). Solve -y*k = -399*k - 48 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11360*b - 3*y - 417 = 11379*b - 2*y, 3*b - 3*y = -69 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -1\/2*c**3 + 7\/2*c**2 - 7\/2 + 1\/2*c = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - i - 1. Let v = -151 + 149. Let s(h) = -10*h + 62. Let d(m) = v*x(m) + s(m). Factor d(r).\nAnswer: -2*(r - 4)*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*a**3 - 6*a**2 - 3*a**2 + 11*a**2 + 13*a + 17*a wrt a?\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 5:39 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1918)\/(-24))\/(12\/(-8)). Let t = -54 - j. Find the common denominator of t and -11\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2709715863 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/30 + 2\/5. Suppose -2*o = 2 - 0. Let f = -95\/3 - -32. Which is the closest to o? (a) f (b) 1\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**2 - o - 4*o**2 + 89872*o**3 - 89874*o**3 to q*o + j*o**2 + k*o**3 + g and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(500) + 2 + sqrt(500)*1*2 - (3 + (sqrt(500) - sqrt(500)*-3) + 0))**2.\nAnswer: 40*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6*2\/90*5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 937054.7 kilograms?\nAnswer: 937054700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-319)\/87)\/((2 - 3)\/(-3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 30.9. Let k = 12.9 + i. Let u = 11 - k. Put -4, u, -1\/5 in decreasing order.\nAnswer: -1\/5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1954, 1955, 1956, 1957, 1958, 1959?\n\"Answer: h + 1953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 101 = -13*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(544))\/sqrt(2).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -92*r**2 - 12*r. Let g(v) = 3*v - 1. What is 3*g(u) + w(u)?\nAnswer: -92*u**2 - 3*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2918305 a multiple of 712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1446465613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 1 - 4 + p - 11 - 12*p**2. Let t be l(12). Let j be (-2)\/t*2*2. Solve -j*o = -4*o - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 318 and 174?\nAnswer: 9222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -114792 - -168280. Suppose -v = 4*h + 346512. Round h to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714*l + 85270 - 17202 = -287*l for l.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -3\/2*s**4 + 0*s + 0*s**5 + 0*s**3 - 5\/112*s**8 + 0*s**7 + 0 + 0*s**6 - 38*s**2. Find the second derivative of k(l) wrt l.\nAnswer: -300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 17 = -3*a. Let i = 23 + a. Let j(f) = -f**2 - 2*f - 3. What is j(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -14?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 64*x**2 - 487*x + 54. Calculate q(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 46*d**3 - 19*d**2 - 37. Let o(b) = 10*b**3 - 5*b**2 - 9. Let a(r) = 9*o(r) - 2*t(r). Let m(p) = -3*p**3 - 13*p**2 - 13. Calculate -11*a(f) + 6*m(f).\nAnswer: 4*f**3 - f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127851 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51546.5 weeks in nanoseconds?\nAnswer: 31175323200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**3 - 2664*l**2 + 18782*l + 48204 = 0?\nAnswer: -1339, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8077990.\nAnswer: 2, 5, 109, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(484)*-6)\/sqrt(11).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5f2 (base 16) in base 15?\nAnswer: -6b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299891466 to the nearest integer?\nAnswer: 17317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhiihhh. Give prob of sequence ihhh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 6489?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/9 - (9 + -3)) + 310\/(-15).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (3 + -6 - -3) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 259388.8 minutes?\nAnswer: 15563328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y - 16. Let m(g) = 5*g - 148. Let x be m(-28). Let l = x + 1439\/5. Which is the nearest to 1? (a) -5 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*x + 3352 = -17396. What is the lowest common multiple of 5 and x?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from {d: 8, l: 2, t: 3, p: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 0*q - 5*q + 14, -10 = 2*m - 4*q. Let w be 3 + (0 - 3 - m). Solve 13 = -5*x + 4*j, 4*x - w*x + 2 = j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88\/237 - -3\/79. Which is the nearest to u? (a) 0.1 (b) 2\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3116176 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 239*h - 236*h. Suppose -h*l - l = -880. Suppose 3*q - 21 = 21. Calculate the least common multiple of l and q.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, g: 1, j: 2}. What is prob of picking 1 j and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -173 + 306. Suppose 2*t + s = 10*q - 7*q, 2*q = -4*t + 110. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (54 - -14644)*1\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 988 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 5. Let d be n(10). Suppose 0 = d*l - 10, 4*l - 2*l = 2*g - 22. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1425 and 16?\nAnswer: 22800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 2633.\nAnswer: 263.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1790493067 to the nearest integer?\nAnswer: 42314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.4398 rounded to 0 dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.180519 and 12.2?\nAnswer: -2.2023318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.104414765 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/((-4)\/24). Which is smaller: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 3100163.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s = -119*s - 78*s - 13575 for s.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140413 + 1201?\nAnswer: -134212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1034 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 332 + -317. What is the remainder when 52 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3 - (-3)\/(-45). Let v = 625\/6 - 207\/2. Which is smaller: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11923 or 11931?\nAnswer: 11923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -195*h + 155. What are the prime factors of a(-23)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 23*(-4)\/4. Calculate the greatest common factor of 18 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 99, -0.129, 1\/2, -4\/3, -6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -154\/756363?\nAnswer: -154\/756363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/5, 5153, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*w + 107*w + x = -8953, -3*w + 8941 = 2*x. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*u - 55*u = -5*q - 25, -u - q + 4 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273269190 to the nearest integer?\nAnswer: 16531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 6*a + 5. Let z = -13 + 23. Let p = 2 + -2. Suppose -2*v = -p*v + z. Determine x(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -28, -0.1 in decreasing order.\nAnswer: -0.1, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750 is divided by 109?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 207887 divided by 449?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303322 - -331231120?\nAnswer: 332201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**3 + 5*m**2 - 16*m + 4. Let w(g) = -3*g**3 - 6*g**2 + 15*g - 4. Let h(x) = 4*o(x) + 5*w(x). Let j = -8 + 17. What is the units digit of h(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by (-1)\/(-1)*(4 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1180 and -3296391.9.\nAnswer: -3295211.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -47\/86 - -2\/43. Suppose -2*q = 4, -2*w = -3*w - 2*q - 79. Let n be (-2)\/20*125\/w. Which is the closest to -1? (a) u (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45b9 - -13?\nAnswer: 45cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1357 times 11753\nAnswer: -15948821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**5\/12 - g**2 - 532*g. Let i(o) = 23*o. Calculate x(i(l)).\nAnswer: -2645*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-6))\/(3\/6). Let v be (k\/4 - 0)*-1. Sort 5, 0.1, 13, v.\nAnswer: v, 0.1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -563064*t**5 - 3*t**3 + t**2 - 8713395*t wrt t?\nAnswer: -11261280*t**3 - 18*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33\/61 + 5267\/10187. Let p = h - -378\/1837. What is t in -p*t**5 - 8\/11 - 32\/11*t - 14\/11*t**4 - 38\/11*t**3 - 50\/11*t**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -2*y + 86 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4568.272 minutes to milliseconds.\nAnswer: 274096320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/6 - 17*n**3\/3 - 571*n**2\/6 - 922*n\/3 - 282 = 0. What is n?\nAnswer: -9, -2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9718826 and 18382.\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 1726*z + 2 = -1721*z, -z - 17 = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 smaller than -1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -2, -0.5, 0, -0.001842?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 at most as big as -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -173 (base 8) to base 10\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*w, -3*x - 2*w = -w + 8. What is the fourth smallest value in x, 5, 3\/5, -4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-3368)*(-10944)\/(-31464).\nAnswer: 2\/421","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 903.764 - 906. What is r rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -z**3 + 159323207*z + 169414055 wrt z.\nAnswer: -3*z**2 + 159323207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - 6*a**3 - 6*a**3 + (-3*a + 0*a + 2*a)*(2*a**2 - 2*a**2 - 2*a**2) + a**3 + a**3 + 0*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 157 - 49. Suppose x*j - 58*j = -236. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175119834 divided by 2049?\nAnswer: -85466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, i: 3, k: 1, m: 2, y: 4, b: 2}. What is prob of picking 1 f, 1 m, and 1 i?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 198*w + 1652. Give p(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*c**2 + 813*c**2 - 1198 + 1166*c**2 + 582*c**2.\nAnswer: 2498*c**2 - 1198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1340019 is divided by 10002.\nAnswer: 9753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4014 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z + 12*z = 12*z + 151263. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**3 - 760*a**2 - 1531*a - 23. Calculate d(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.042 + 58.242. Let u = f + -58. What is the nearest to -2\/3 in u, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2.541789 tonnes?\nAnswer: 2541789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5531312 (base 6) to base 8.\nAnswer: 1033634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p - 5. Let y be w(-4). Let o = 193 - 191. Let r be ((30\/o)\/(-3) - -8) + -8. Sort y, -7, r in decreasing order.\nAnswer: y, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*p - 349 = 0, 10*c - 1050 = 7*c + 3*p. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-3)\/6*(-26)\/6175*25?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 344127 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 7*o - 3*o + (1 + 5 - 4)*(-4*o + 0*o + 2*o))*(-o - 4*o - 2*o).\nAnswer: 105*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 7*t**2 + 2. Suppose 23*m + 65 = 28*m. Suppose -7*x = -m*x - 252. Let a be (x\/(-28))\/((-3)\/(-14)). Calculate i(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 8. Let y be x(13). Suppose y*c + 2*g = 16, -2*g + 17 = 4*c + g. Solve c*q - 20 = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 61*x**2 - 15*x + 4. Determine k(1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 2:28 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fiiaijifajjyyjyf. What is prob of sequence jffy?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 2*j**2 + j**2 - 672563.\nAnswer: 2*j**2 - 672563","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-1)*i\/((i\/(i\/(i\/(i\/i**15))))\/i)*(i*i**11)**33 assuming i is positive.\nAnswer: i**383","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 3*x - 35. Give s(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 38.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 + 2*l**2 + 2*l. Suppose 5*z = -5*c + 60, 2*c - 5 = c. Let d(f) = 4*f**3 - 3*f**2 - 3*f. Calculate z*m(x) + 5*d(x).\nAnswer: -x**3 - x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3961 - 4059.34. Let k = 94.340043 + c. Let v = k + 4. Round v to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*s - 1519 + 1509, i - 6 = -s. Let h(a) = 2*a + 5. Let q be h(8). Let t be 4\/(-12) + 1\/q. Which is bigger: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-43)*((-1494)\/996 - (-7)\/6)?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 9. Let b be q(-10). Suppose 2*u + 1 = -b. What is the closest to -0.1 in u, 4, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15 - (-28)\/(-60))*-2\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/23 (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 - 20*o**3 + 144 + 21*o**3 - 294.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -l - 5, 5*l - 3 = -j - 28. Suppose -v + 4 + 26 = j. Suppose -2*g - 6 = -v. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 9 = -f, 2*v = -3*f + 3 - 4. Let g be ((-15)\/10*4)\/v. Let m(s) = -s**2 + s + 2. What is m(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 - -4?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = u + 6*x - 23385, 3*u = 4*x + 70165. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.9 + -0.1. Let p = s + 12.99944. What is p rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3181 - 1936. Let z = l + -186. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -74 - (-149286)\/2224?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 - 2529 + 2529 + 5*p**3.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from ssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/2 + 8\/4. Let b(y) = y**3 - 9*y**2 - 30*y - 4. Let n be b(11). Let h = l - n. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111\/61 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/7*((-12)\/6)\/((-16)\/(-56))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-2)\/(-4)*-3)\/(-1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 347995477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 29. Determine g so that -5*g**2 + 11 + 6 + 8 + 0 + 9*g + n*g = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**6))**(-7\/5)\/(((s*s**(-6))\/s)\/((s**(-5\/4)*s)\/s*s)) assuming s is positive.\nAnswer: s**(-53\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*0*(0 + -1). Let o be (1\/3)\/((-1)\/(-15)). Sort 4, o, q.\nAnswer: q, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65329, 65328, 65327?\n\"Answer: -q + 65330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 278703.7938 rounded to the nearest one hundred?\nAnswer: 278700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 5250 - 5313 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640 - (0 - (-2 - -4))?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = h + h. Which is the nearest to h? (a) -0.3 (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, g: 1, o: 2, j: 4, u: 1, p: 7}. Give prob of sequence ejej.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-308)\/26 + 2\/(-13). Let w be l\/(-8) - (-5313)\/6. Suppose -5*h - 4*i = -937, 4*h = -5*i + w - 132. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1\/17 (c) -14 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*w + 12 = 287*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37729, -42069, -49301, -59425, -72441, -88349, -107149?\n\"Answer: -1446*n**2 - 2*n - 36281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173 + -138. Let y = 995 + q. Round y to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5279212031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 102, 231, 2, -4.\nAnswer: -4, 2, 8, 102, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2233 is divided by 222?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59701, -59692, -59721, -59806, -59965, -60216, -60577, -61066?\nAnswer: -61701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*b**3*k**2 - 2*b**3*k - 13129*b**3 - 17784*b*k**3 - 4*b*k - 21*k**2 - 208*k wrt k?\nAnswer: -132*b**3 - 106704*b*k - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*j - 4*j + 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22901911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - z**2 - z + 3. Let j be o(0). Let u(h) = 3 - 5*h + 7*h + 3*h + j*h. Is u(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -52*w + 57*w - 29426, -2*b = 4*w - 23520. Is w a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from {u: 5, k: 1, y: 6, p: 7}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8939.4239 - -9037.42. Let o = d - 98. Round o to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) -4\/3 (c) -1282 (d) -396\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -15776700 to the nearest 100000.\nAnswer: -15800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126 (base 7) to base 15.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lywxwwwwwwwwxy. What is prob of sequence yxy?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 2*r**2 - 4*r - 1. Let g be u(-3). What is the third derivative of -3*l**4 + l**4 - 5*l**g + 0*l**4 - 3*l**4 wrt l?\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*144\/30*(-2850)\/(-456).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*o = -56, 3*o - 11432 = -3*b + 2*b - 11431 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 32\/5 of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 744*o - 1. Calculate s(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddbeqeeedbbbbdeeb. What is prob of sequence ebed?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -778260*h**4 - 100469*h?\nAnswer: -9339120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1562092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 59*a**4\/12 - 3385*a + 1. Let q(h) = 2*h. Calculate q(v(k)).\nAnswer: 118*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 10:15 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151814973 divided by 3.\nAnswer: 50604991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 45\/((-5)\/(-1)). Let x(j) = 4*j**2 + 9*j**3 - w*j**3 - 4 + 4*j - j**3. Determine x(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 3*a**2 + 2. Let f be t(2). Let m be (-6)\/(-21) - (-161)\/(-49). Is m at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(200)*2 + sqrt(200)*-2 + 4 + 4 + sqrt(200)*1*-6)*1*-5)**2.\nAnswer: -48000*sqrt(2) + 721600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 2*p**2 + 471. Let t(y) = -y**2 + 48. What is t(k(h))?\nAnswer: -16*h**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 - 222*x + 4889. What is k(28)?\nAnswer: 1025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14256597.969 rounded to the nearest 100000?\nAnswer: -14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1da3 + 2?\nAnswer: 1da5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.9 + -0.1. Let b = u + 8.07. Let t = b + -0.47. What is the second biggest value in -4\/9, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -613136458 by 6070658.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58746, -234993, -528738, -939981, -1468722, -2114961, -2878698?\nAnswer: -3759933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2170*s**2 - 4*s - 1000*s**2 + 355*s**2 + 4*s to the form p*s + m*s**2 + t and give m.\nAnswer: -2815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112464012 (base 7) to base 11.\nAnswer: 399808a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 14555403 in increasing order.\nAnswer: -3, 4, 14555403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 322*w**2 + 650*w - 652. What is h(324)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15, 1, -15, -33, -53, -75?\n\"Answer: -s**2 - 11*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 585.299807 + -0.020027. Let y = 584.53 - u. Let q = -0.75 - y. Round q to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**5\/60 + k**3\/6 + 2*k. Let p(t) be the second derivative of c(t). Let d(m) = -16*m + 8*m + 9*m. What is d(p(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g + 14*g - 13*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -87*s**3 - 38*s**2 + 99*s - 4. Let r(b) = 65*b**3 + 28*b**2 - 72*b + 3. Give -8*k(u) - 11*r(u).\nAnswer: -19*u**3 - 4*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**3 + 54*m**2 + 16*m + 70. What is h(-10)?\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 205703107 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 809*h = 818*h - 756. Solve 49 = -7*g + h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.9 and -300.\nAnswer: -300.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/((-12)\/76) - 5\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 - 5*g - 5. Let u(w) = 2*w**2 - 3*w - 3. Let z(k) = -6*n(k) + 10*u(k). Let m(x) = -5*x + 15. Determine z(m(v)).\nAnswer: -100*v**2 + 600*v - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-6 - (0 + -11)) - (1 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -89598\/5749?\nAnswer: -89598\/5749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 877518.4 litres in millilitres?\nAnswer: 877518400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11088 and 9370053?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 + 5. Let i(v) = 9*v**2 - 2*v + 5. Let g(d) = 3*d**2 - d. Let m(f) = 2*g(f) - i(f). Give 3*m(y) + 2*n(y).\nAnswer: -y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11069719 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -41.1. Which is the closest to w? (a) -3 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 13) to base 7.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-9 - (-16 - -7 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 1:22 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 244076 and 1932?\nAnswer: 732228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1\/50 (c) 59\/4 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -12, 17746, 4 in ascending order.\nAnswer: -35, -12, 4, 17746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24326 - -26449. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0935 in -884, -0.1, -0.5, -0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -17*w**9\/504 + w**7\/105 - 139*w**5\/60 + w**4\/24 - 71*w**2. What is the third derivative of j(s) wrt s?\nAnswer: -2040*s**3 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000297622 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*x - 339*x = 468 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 5*k - 3 + 2*k - 3*k + 6*k + (-1 + 4 - 2)*(2*k + 0*k - 4*k) + 73*k - 2*k + 10*k.\nAnswer: 79*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*f**2\/8 + 5589*f\/4 - 2235\/8.\nAnswer: -3*(f - 745)*(5*f - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12710, -12766, -12858, -12986, -13150, -13350?\nAnswer: -13586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13680 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**3*k**3*w**2 + 26*h**3*k*w**2 + 599*h**3*w + 2*h**2*k*w - 21*h**2*w**3 + 353987*h*k**3*w**3 - 2*k**2*w**3 + k**2*w wrt k.\nAnswer: -18*h**3*w**2 + 2123922*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*p - 15. Suppose x - p - 5 = 0. Let d be x\/6 - (-6)\/18. Solve -7*o + 20 = -d*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (-952)\/(-224))*80\/170?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 4*x**2 + 6. Let q(p) = -3*p**3 - 9*p**2 + 11. Let m(s) = -3*q(s) + 5*u(s). Determine m(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v**2 + 6*v - 16. Let u(l) = 7*l**2 + 8*l - 16. Let m(h) = 4*n(h) - 3*u(h). What is the units digit of m(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12255.87 + 12045. What is s rounded to 0 decimal places?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*i + 5*k = 77*i - 35, -2*i - 2*k = -2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50230712029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - h**2 - 2*h + 1. Let m(y) = 4*y**3 - 6*y**2 - 9*y + 2. Let v(x) = -m(x) + 5*q(x). Calculate v(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*r**6 + r**4 - r**2 + 9.\nAnswer: 1560*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 - (2\/3 - 2665\/492). Solve -9*a + p*a - 28 = 3*f, a = 4*f + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 8*g + 3*d = -33, 5*g = 3*d + 43 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-1 + 2 + 0). Suppose 5*r + p*r - 70 = 0. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.219329 millilitres in litres?\nAnswer: 0.004219329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, q: 1, d: 1, z: 1, r: 2, s: 1}. What is prob of sequence rdfs?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -1.4. Let r = -1 - f. Suppose -5*k = -3*g + 15 - 8, 0 = k + 2. What is the biggest value in -2\/9, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2*z + 48, -5*m = -m + z - 41. Solve -7*p = -2*p + m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (377\/52)\/(-29) - 529\/460?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Suppose 8 = 5*f - f. What is the greatest common factor of f and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*a - 1080, -18*l = -15*l - 6. Which is smaller: 210 or a?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddxx when four letters picked without replacement from {p: 2, d: 2, n: 2, x: 3}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**3 + 4*r**2 + 6*r + 8. Let h(l) = l**3 - l - 1. Let s = 5 - -1. Let u(w) = s*h(w) + f(w). List the prime factors of u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6825 and 2733325?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**5\/5 + 67*t**4\/5 + 39*t**3 - 36851*t**2\/5 - 7396*t = 0.\nAnswer: -43, -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 + 21*t + 1. Let n be g(-9). Suppose -3*p + 18 = 45. Is 14 a factor of (p\/(-3))\/(12\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 6\/71 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -21.916?\nAnswer: -21.916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 2*v + 2. Let n be y(2). Suppose -4*s - 4*q = -68, s - 2 - 19 = -n*q. Calculate the highest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1040*h. Let d be j(-5). Round d to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 3 - (-10 + -1). What is the derivative of -n*b - 2*b - 8*b + 37 - 8*b wrt b?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -694792 divided by 266.\nAnswer: -2612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*c**2*f - 33*c**2 - 3*c*f + 1211*c - 1471*f wrt f.\nAnswer: 4*c**2 - 3*c - 1471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6748277, -13496549, -20244821, -26993093, -33741365, -40489637?\n\"Answer: -6748272*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 7*f**2 - 4*f + 8. Let h be p(-6). What is the closest to -5 in h, -3\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.7 + -0.02.\nAnswer: -36.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-10)*(-2)\/(-12)*12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -63*y - 7*y + 7*y. Let d(u) = -12008 + 4002 + 17*u**2 + 4004 - 20*u**2 + 4002. Calculate d(k(i)).\nAnswer: -11907*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 250*v + 1746. Let j be g(-7). Sort -8, -2, j, 5, 4.\nAnswer: -8, j, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.75 - -0.25. Let p = 10.6 - d. Which is the third biggest value? (a) -3 (b) 4\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + (5 - (-1 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 867201 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + k. Let a(l) = 6*l**2 + 5*l. Let h(x) = 2*a(x) - 10*g(x). Let v(u) be the third derivative of 5*u**5\/12 + 183*u**2 - u. Determine v(h(s)).\nAnswer: 100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 13, -0.3, -1\/15, 2253?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7964\/363 + -9 - 13)\/(72\/(-33))?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-13 - (-3 + -2)) + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39753591*a - 10177118?\nAnswer: 39753591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8288 and 6384.\nAnswer: 472416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*h - 5, 2*c = 2*h - 6*h - 4. Solve k + c = -1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*n + 65*n = 517520. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -48. Let a be (2\/(-2))\/(2\/(-8)). Suppose 4*q + 8 = -0*q - a*i, -5*q - 5 = 4*i. What is the greatest common divisor of q and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -9 - (-16 + 40 + -46)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**4*u - 2*b**4 - 3704*b**2 - 362*b*u - 2*b + u wrt b.\nAnswer: 24*b**2*u - 24*b**2 - 7408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2493, 2543, 2627, 2745, 2897, 3083, 3303?\n\"Answer: 17*j**2 - j + 2477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*h + 5 = 5*h, 3 = 2*m + 3*h. Suppose 0 = -m*a + 1179 + 1155. Suppose 3*n - 2440 = -a. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + d - 1. Let y(b) = -b**2 + 9*b. Let f(n) = 2*c(n) - y(n). Let q be f(-6). Suppose 0 = q*o - 3*o - 9. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.4 + 23.6. Let n = -34.0765 + x. Let z = n + 0.07263. What is z rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/9 + 4*b**3\/3 - 134*b**2\/9 + 16*b + 32 = 0.\nAnswer: -12, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 + 2*x**2 + x**3)*(-2 + 2 - 2)*(-1107 - 14 - 927) in the form h*x**2 + p*x + f*x**3 + b and give f.\nAnswer: 4096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(112))\/sqrt(2))\/(sqrt(8) + sqrt(40)\/sqrt(45)) + -4 - (6*(sqrt(7) - (0 + sqrt(7) + 0)) - (-4 + 2 + (sqrt(7) - (sqrt(28) + sqrt(7))))))**2.\nAnswer: 33*sqrt(7) + 1423\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(209)*3 - sqrt(209)) + sqrt(209) - sqrt(209)) + sqrt(209))\/(-1*sqrt(110)\/sqrt(10)))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 25 = -4*r. Let k be r - 3 - (0 - -29). Let j = -14 - k. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 64323705 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1028*b - 14408. Calculate u(15).\nAnswer: 1012","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 15. Let o be n(-13). Let h be (-136)\/o + -5 + (-4)\/(-14). Factor 1\/7*t**3 + 1\/7*t**2 - h*t - 1\/7.\nAnswer: (t - 1)*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 394\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 0, 6\/5, -16, -9947, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**23)\/i**17)**48 assuming i is positive.\nAnswer: i**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 353059, 706348, 1059637?\n\"Answer: 353289*a - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11253330 - 2?\nAnswer: 11253325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 + (7 - 81\/(-18)). Let j = -9 + 14. Which is the third biggest value? (a) w (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**5\/20 - 7*s**4\/12 - 2*s**3\/3 + s**2\/2 - 26*s. Determine a(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-3 + 13 + 17)) + (-5 - 7)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 9*c + 12*c = 20, 2*c + 8 = 2*i. Calculate the lowest common multiple of i and 86.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -15 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1113*t**5 + 294*t**4 - 4*t**2 - 344*t - 7 wrt t.\nAnswer: 66780*t**2 + 7056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1980687 divided by -17?\nAnswer: 116511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001047 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10d81 + -4?\nAnswer: 10d7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*x + 19. Suppose 3 = -o, -2*i - 24 = -x*i + 4*o. Suppose 0 = i*k - 32 - 8. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**3 + 7*v**2 - 40*v - 35. Let s be k(-9). Round s to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b. Let f = -7 + -2. Let p(w) = 60*w - 200. Let a(z) = 15*z - 48. Let r(i) = 25*a(i) - 6*p(i). Determine f*y(u) - 5*r(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 0, -5*k + 457618 = 2*l - 2*k - k. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -292\/11 - -617\/22. Let l(w) = 3*w**2 + w. Let a be l(-1). Factor -1\/2*i**a + r - i.\nAnswer: -(i - 1)*(i + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 8618 + 22675 = 0. List the prime factors of u.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4)*1)\/((-214180)\/(-160635)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 579.9 (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 54. Let g be ((-2265)\/(-150) - 2\/4) + 6\/(-10). Give a(g).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**4\/24 + 860*n**3\/3 + 419*n**2. Let s(l) = -2*l**2. Calculate v(s(w)).\nAnswer: 2*w**2 + 1720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**2 - 4*o - 11. Let b(h) = h + 5. Let w(v) = -v - 4. Let z(i) = -3*b(i) - 4*w(i). Let s(g) = d(g) + 4*z(g). Differentiate s(l) with respect to l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 467811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 13*q - 11*q + 20, 2*q + b = -5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 367\/3 and -14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**2 - 2199320*o - 302313028900 = 0. What is o?\nAnswer: -274915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 131, 305, 585, 995, 1559, 2301, 3245?\nAnswer: 4415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16385 - -1?\nAnswer: 16386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6219 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1 + 2*b + 0 - b**2 - 3*b. Let k(c) = 5*c**2 + 3*c + 51. Let l(o) = k(o) + 4*x(o). Does 18 divide l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 19690, 1\/5, -0.04?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = 2*m, 3*q + 4*m + 3 = 11. Suppose q*i + 0*i = -4. Which is smaller: -2\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70279 and 45381067?\nAnswer: 499191737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 - -122020?\nAnswer: 200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3993 is divided by 805?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 272501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f - 174 = -3*f + 29*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*m - 51*m + 4*g = 4, -4*m - 5*g + 5 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/12*(-24)\/10. Suppose c - v = -0*c. Suppose -3*r + 3*x = -15, x + c = 3*r - 3. What is the remainder when 5 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + -3*(-30)\/(-18). Let x be (-16 + 9)*(-1 - d). Is x less than or equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 9, -2, 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -4, -10, 0, 1\/110, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 15 = 5*b, 3*i + b + 0*b = 13. Suppose -6*w + 28 = w. Sort -1, 8, i, w in ascending order.\nAnswer: -1, w, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 7*u**2 - 6*u - 5. Let l be f(6). Let r be l*(24\/(-15) + 2). What are the prime factors of (-1)\/r*-2 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 14. Suppose -5*m = -25, -x*m + 7*m = 5*y + 40. Let r be (-18)\/y*3\/(-42). Sort 0.3, r, 0.1 in increasing order.\nAnswer: r, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -61. Suppose -3*t + 193 + 44 = i. Let m = -78 + t. Solve 0 = -2*n + 4, 4 = h + 2*n - m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 194275*d - 1554392. Calculate m(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {r: 7, g: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s**2 + 656*s - 372. Let w be i(89). What is the greatest common factor of 1995 and w?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4120203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuaauwuuuupuuuuuu. Give prob of sequence ua.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 2, e: 1, d: 1}. Give prob of sequence en.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 + 99. Suppose -301 = -4*b - q - 86, y*q - 12 = 0. Does 53 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121000 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*sqrt(1008) + (((sqrt(7) + 1 + sqrt(7))*-1)**2 - sqrt(1008)*2).\nAnswer: 29 + 172*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*f + 321, 0 = -3*h - h - 5*f + 361. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.4 + 2.5. Let l = 2 + n. Is 2 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109515272.\nAnswer: 2, 199, 68791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31a4 - 0?\nAnswer: -31a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -5)*(-6)\/8. Find the second derivative of -50 - 2263*i + 3*i**m + 2265*i - 2*i**3 + 91*i**2 wrt i.\nAnswer: 6*i + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 + 201 - 96)*(0*k**3 + 3*k**3 - k**3).\nAnswer: 30*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.3685 and -0.1357237.\nAnswer: 1.2327763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 1, 5, -7, 4, -23.\nAnswer: -27, -23, -7, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-8685)\/7720)\/((-6)\/32 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32126?\nAnswer: 2, 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*t + 4*s, 0*s + 2*s = 5*t + 28. Suppose -d + 5*x + 8 = -5*d, d - 3*x - 15 = 0. Let c be -1*(3\/(-9) + 15\/(-9)). Put d, t, c in ascending order.\nAnswer: t, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 559386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/210)\/((-1)\/5). Let t = 0.6 + -0.82. Let x = 0.08 - t. Which is the third biggest value? (a) x (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*j - 14514 - 3573, -2*g + 5*j = -12085. Calculate the highest common divisor of g and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 10. Let x be y(-10). Let s = 9 + x. Put 2, 0, s in decreasing order.\nAnswer: s, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Let l be (-8)\/44 + 65280\/33 + o. Round l to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1286, 2583, 3888, 5201, 6522, 7851?\n\"Answer: 4*n**2 + 1285*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = -0*y. Let m be -2 - (-4)\/(-6) - 8\/24. Sort m, y, 3 in decreasing order.\nAnswer: 3, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 203 = -3*v + 293, -4*v + 688 = -4*s. Suppose 17*t - 36 = v. Let x(k) = k**2 - 14*k + 20. Calculate x(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138\/(-4)*(-2)\/3?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 345\/2 - 165. Let f be -8 - -2 - (-81163)\/68368. Let w = f + 3\/8546. What is the common denominator of y and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27677 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**3\/6 - 2*z**2 - 17*z. Let s be d(2). Sort 3, 1, s in descending order.\nAnswer: 3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 132 (b) 2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**(-1\/10)\/o)\/o)*o)**(-37)\/(o**(-1\/2)*o**(-3\/11)) assuming o is positive.\nAnswer: o**(-8301\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (3500\/884 - 2\/(-17)). Let v(b) = -b**3 + 2*b**2 - 7*b + 15. Let z be v(2). What is the fourth biggest value in -4\/5, -2, h, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*f - 10 = 47*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*a + 3. Suppose z - 4 = -z. Let c = a - z. Solve -4*d - 2*g - 1 = 5, 3*d + g + 3 = c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 748440 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 5 (b) -5 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/4*(-6)\/15. Let g = -0.079 - -60.079. Sort u, -1\/4, g in decreasing order.\nAnswer: g, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -44*y. Solve -c + v = -1, -2*c - 4*v - 28 = -y*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b = 90*b - 1715. Put b, -1, 1, 2 in increasing order.\nAnswer: -1, 1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 22121?\nAnswer: -22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 2933904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 1575.\nAnswer: -14175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -89174*b. Give u(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -34 + (-1 - -20) - (1 - -9).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1610*u - 31. Determine b(1).\nAnswer: 1579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 17*n - 6. Calculate s(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 8098.\nAnswer: 8098.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**3\/9 + 83*o**2\/9 - 46*o\/9 - 32\/9 = 0.\nAnswer: -2\/5, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i - 98. Let q be r(-20). Let k = -101 - -164. Calculate the greatest common factor of q and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18041 and -1.1?\nAnswer: 19845.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109580186.\nAnswer: 2, 1163, 47111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 339 + 30392?\nAnswer: 30731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10.1*-317.2\nAnswer: 3203.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -253*o - 234. Determine g(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (-4)\/(1 + -3). Suppose 3*h - j*y = -6*y + 14, 4*h = 3*y + 2. Suppose -h = o - 14. What is the highest common factor of o and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -4. Suppose 5*z - 2*z = 24. Let y be ((-8)\/110)\/(z\/20). Sort 0, o, y in decreasing order.\nAnswer: o, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*s - 94 = 0, 0*b + 5*s = b - 19. Calculate the highest common divisor of b and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - a**2 - a - 3. Let k = 19 + -19. Suppose k = -5*q + 2*q. Calculate y(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 256676579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891464?\nAnswer: 2, 7, 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 - 3 - 3)*(-13*c**3 + 5*c**3 - 3*c**3) - c**3 - 2*c**3 + 2*c**3.\nAnswer: -1134*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -19.39 (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, p: 3, n: 1, u: 4}. Give prob of picking 4 y.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1173 + 0.2827. What is the closest to 0 in c, -1, -4, -23?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.8 + 1.8. Let p = -12.6 - -0.6. Let d = p - j. Put -2\/5, d, 0.1 in descending order.\nAnswer: 0.1, -2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8197 times -10516\nAnswer: -86199652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-22 - (30 + -13))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Suppose i + 5*k = 54, -o*k = 5*i - 250 - 20. Suppose i = -p + 4*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33885 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28859468.\nAnswer: 2, 11, 59627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -8 (c) 1\/5 (d) 9369\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*p - 20 + 124, 0 = 5*r + 5*p - 50. Suppose 4*i + 0 = 12. Suppose 2*s = -s + i. Are r and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 4. Let y = 17 + -15. Let n = -14 + 9. Let a = y + n. Let p(v) = 2*v + 5. Give a*h(o) + 2*p(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 1\/8*a**4 + 0*a**3 + 2*a**2 + 0 - 1\/40*a**5 + 0*a. Factor i(c).\nAnswer: -3*c*(c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18414 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-12)*(-8)\/18?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -1 + -4 + 5. Let d = 11 + -6. Suppose 4*l + 9 = -10*i + d*i, 3*i = -15. Solve 1 + n = l*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 less than -733485977247?\nAnswer: -733485977189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2062 (base 14) to base 9.\nAnswer: -7573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 8*t = -36. What is the least common multiple of t and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11195*u + 11195*u - 14*u**3 + (2*u - u + 0*u)*(-u**2 + 2*u**2 + u**2).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -11. Let m = -8 - -19. Let d = f - m. Which is greater: d or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*r + 63*r + 43*r - 70*r.\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -5*y + 150, -169*c + 145*c + 645 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhxxrhxghxrghlxxihh. Give prob of picking 1 r and 1 l.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 10*w + 1. Let g be u(-10). Suppose 3*p - g = -10. Let x = -42 - -169\/4. Which is the third biggest value? (a) x (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*x + 19*x - 39*x + 690)*(-4*x**2 + 3*x**2 + 2*x**2) to b + i*x + a*x**2 + n*x**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.053517 * 15.\nAnswer: 0.802755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 + -1400003343?\nAnswer: -1400004011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.084728*5.\nAnswer: 100.42364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(171) + sqrt(171) + 4 - (sqrt(171) + -1 + sqrt(171) + sqrt(171) + 5))**2 + (-6*(1*(sqrt(171)*2 + sqrt(171) + sqrt(171)) + sqrt(171)))**2).\nAnswer: 308142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -15. Which is the closest to -1\/7? (a) -1\/5 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 5. Let x(d) = -b + 21 + 64*d**2 - 11. List the prime factors of x(1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176747 - 121804. Is 2\/(-7) + z\/49 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5232, 5897, 6562?\n\"Answer: 665*l + 4567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24420864 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4861*d**2 - 19*d + 19. Is m(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13698292 - -13698810.03505. Let q = o + -518. What is q rounded to three decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123\/4 or 919?\nAnswer: -123\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 8*b**2 - 10*b - 12. Let h be s(6). Suppose h = -48*j + 43*j + 10. Solve x + 0*x + j = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 26 - m - 23 + 8. Let l be n(9). Solve 5*i - l*i = -4*f - 10, -f - 6 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/2 + (-2)\/12*-3. Let w(d) = -d**2 - 1. Let a(o) = -5*o**2 - 8*o. Let h(z) = n*a(z) + 6*w(z). Give h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -158, 53, -1 in descending order.\nAnswer: 53, 5, -1, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is e2b (base 16) in base 15?\nAnswer: 111c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116012207 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -40144.454 take away -716.34?\nAnswer: -39428.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-78 - -80) + 26)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/3 - 124*h**2\/3 + 3013*h\/3 - 4030 = 0. Calculate h.\nAnswer: 5, 26, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/49551 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 83306, 166342, 249378, 332414, 415450?\n\"Answer: 83036*v + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + -3 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5230691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2852 and 21576?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 34*p**2 - 1. Let o be v(1). Suppose -3*u = 5*b - 36, 4 = -5*u + 2*b + o. Calculate the remainder when (18\/(-4))\/((-1)\/6) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1036788\nAnswer: 1\/1036788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 30895500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*h - 9, -3*h + 4*d = 3*d + 1. Let f(x) = x**2 - 5*x + 5. Let r be f(h). Is 18 a factor of (5 + -4)\/r - -53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -16\/57 (c) -0.1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 206000002 = -2*q, -10*q = -13*q + 3. What is k rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/11120439 and 20\/40774943.\nAnswer: 122324829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 + 41 = t. Find the common denominator of 115\/8*(-24)\/t and -81\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 24, 8, -2\/13 in decreasing order.\nAnswer: 24, 8, 6, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:48 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/11098 and 57\/4.\nAnswer: 22196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -5a680e5?\nAnswer: 5a680e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-5) + 130\/25. Let j be 4\/(-1)*(-7)\/(-28)*0. Put 4, -4, j, b in decreasing order.\nAnswer: b, 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let j(w) be the first derivative of 3*w - 2*w + w**2 + 3*w + b. Calculate j(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604506 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 9\/2322961 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -22*x + 1691. What is n(78)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 2\/(-4)*2. Suppose r = 3*h + 2*h + 10. Let f = -45\/7 + 232\/35. Which is the second smallest value? (a) h (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*j = 58*j + 14931. What are the prime factors of j?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 10:30 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 982 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 3657372 and -0.18.\nAnswer: 3657371.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5050107\/14860 - 16\/3715. Let r = l + 1347\/4. Let w = 2\/35 - 681\/280. What is the common denominator of r and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 4:54 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 4:24 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/36)\/(1\/4090) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 280*d**4 - 27*d**3 + 154*d - 6. Let j(q) = -56*q**4 + 5*q**3 - 31*q + 1. Let k(h) = 2*c(h) + 11*j(h). What is the second derivative of k(m) wrt m?\nAnswer: -672*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/84420232 and 111\/211050580?\nAnswer: 422101160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skssysssyksyyksks. What is prob of sequence kky?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*u**4\/11 + 28654*u**3\/11 + 169700*u**2 + 7454800*u\/11 - 528000 = 0. What is u?\nAnswer: -60, -5, 2\/3, 4840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 54084870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Simplify ((sqrt(48) + sqrt(3072) - sqrt(48)) + 0)**2.\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 7:46 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 298 = 5*s, -s - 2*v = 174 - 44 - 88 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) -105 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7244455 by -4.\nAnswer: 7244455\/4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/14 - 10\/35. Factor s**3 - 6*s**2 + 2 + 5*s**t + s**3 - 2*s + 4*s**4 - 5*s**2.\nAnswer: 2*(s - 1)*(s + 1)**2*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*d**2 - 1683486 + 1683486.\nAnswer: -113*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-9 + (10 + -18 - -29))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2717582.\nAnswer: 2, 7, 194113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514*c = -42166 + 943 + 5243 for c.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2)*(-2*x - x + 5*x) - 2*x + 1 - 2 + 3*x)*(32*x**2 + 25*x**2 - 993 + 992).\nAnswer: 285*x**3 - 57*x**2 - 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-495)\/825)\/((-1)\/5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2899 - -5079. Suppose -13*a + n - 256 = 0. Suppose -4*u = 4*i - 196, -2*i + 2*u - a = -5*i. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/444 and -83\/33540.\nAnswer: 1240980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1643)\/(-4) - 5*10\/(-200). Let i = 424 - x. Solve -16*n + 12 = -i*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -32.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b*c + 90*b - 42811552*c**2 - 273732 wrt c.\nAnswer: -2*b - 85623104*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p = -12 - 33 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94964186?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3139 + 5642 = -3*z, 3*d - 4*z = 8783. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1849 (b) 4 (c) 62 (d) 0.3 (e) -1.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 128, 195, 382, 749, 1356, 2263, 3530, 5217?\n\"Answer: 10*l**3 - 3*l + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjb when three letters picked without replacement from {j: 2, m: 1, h: 1, v: 3, b: 5}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/36 and -19\/11472.\nAnswer: 34416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*m**3\/4 + 7*m**2\/2 + 3*m\/4 = 0. What is m?\nAnswer: -1, -3\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**5\/20 + o**4\/4 - o**3\/6 - o**2\/2 - 41*o. Calculate w(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95 (base 11) to base 8\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*s**2 + 4*s - 158 with respect to s.\nAnswer: -18*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490)\/sqrt(5))**2 + 1.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6085 by 5.\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 10*z + 3*s = -1, 2*z = -11*s + 23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - (-41 - 17) - -42.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1630)\/4*(-200)\/125?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*g - 13. Let n(v) = 4*v + 4. Let t be n(g). Let o = t + -15. Which is the nearest to 0? (a) 3 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15087 - 13420. Sort q, 0, -5 in descending order.\nAnswer: q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 9, o: 2, q: 3, i: 1}. Give prob of picking 1 q and 1 i.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 3335.\nAnswer: 6670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*h = 144*h - 60. Solve 7*x - 3*d + 27 = 2*x, 3*d - h = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 330874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -5*c - 0*c. Suppose -k + 14 = -0*k. What is the remainder when c is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -52*s + 348. Is c(-21) a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + f + 1. Let h(a) = -5*a**2 + a - 2. Let r(w) = h(w) + x(w). Let o(s) = -s**3 + 5*s**2 + 6*s + 1. Let m be o(6). Give r(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276032.\nAnswer: 2, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 16. Calculate the lowest common multiple of 18 and h(-23).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 times 192?\nAnswer: 54336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -31*m**2 + 120*m + 3. Let d(j) = -62*j**2 + 240*j + 5. Let r(v) = -3*d(v) + 5*n(v). Find the second derivative of r(h) wrt h.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.8067 decades in centuries?\nAnswer: 28.98067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**3 + 13*z**2 + 13*z - 13. Let s(n) = -53*n**3 - 6*n**2 + 0 + 2*n + 56*n**3 + 6 - 8*n. Calculate 6*h(v) + 13*s(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*l + 308 + 217, 5*l - 875 = -3*v. Suppose -6*p + p + l = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a4281 (base 12) to base 10\nAnswer: 961153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116765 - 69998. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - s + 8. Let q(n) = -8*n + 1. Suppose 7*h + 2*r - 6 = 3*h, -5*h = r. Let c be q(h). Does 16 divide i(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 201\/469 + 25509\/(-60207) and -57\/427.\nAnswer: 20069","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*f = -10, 0 = 3*o + 2*f - 54121 + 54116 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -446 + 445. Let o be ((-108)\/(-414))\/(-3 - (d + 0)). Which is the third smallest value? (a) 5\/3 (b) o (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isi when three letters picked without replacement from vsivvvvsvvvivvv.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 11*r**3 - 88*r**2 - r - 8. Let h be q(8). Which is the second smallest value? (a) -1\/6 (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 768 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 + 58 = -3*d. Let a = -100 - d. Is a\/(-6 - (3 + -7)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + -14 + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v + 4 + 6*v + v + (-v + v + v)*(-1 + 4 - 6) in the form o + n*v and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52.874 - 0.126. Let k = 54 + q. Which is the closest to 2\/3? (a) -0.2 (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 1*sqrt(1900))*2 + sqrt(1900) + (-3*sqrt(152) + sqrt(152))\/sqrt(8)*2)**2*1.\nAnswer: 40204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*h + 21 = -69*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4168975*l**2 + 4255626?\nAnswer: 8337950*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**6 - 2333892*d**5 + 51614*d**2 - 86 wrt d?\nAnswer: -240*d**3 - 140033520*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231975584?\nAnswer: 2, 7249237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1 + 3*s**2 - 5*s**2 + 4*s**2 - 2*s. Let r = -1 - 4. Let k(h) = 3*h**2 - 4*h + 2. Determine r*x(u) + 3*k(u).\nAnswer: -u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02491 less than -0.0577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 5653552*n - 1997665638544.\nAnswer: -4*(n + 706694)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 19 = -21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k - 36260 = 2*k. Is k a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3614*r - 3888*r - 351410 - 287560 = -1897*r for r.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1755965, 3511753, 5267541?\nAnswer: 7023329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -15*n + 20. Let f be i(8). Let v = -296\/3 - f. Put 0, -3, v in decreasing order.\nAnswer: v, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 7*t - 6. Let y be l(8). Let m = -30 - -35. Which is the smallest value? (a) -4 (b) m (c) -2\/5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**2 + 2*z. Suppose 0*s + 4*s = 8. Let u be b(s). Suppose u = 2*q + 2*q. Solve -2*d = -q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7 - 10 = 0, d + 3 = 5*p. What is the remainder when p + 3 + 32 - -6 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -5*v - 4*u, -5*u + 397 = -v + 399 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-1485))\/(76\/(-114)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-12))\/v)**(-2)*v**(-16\/7)*v**17\/v assuming v is positive.\nAnswer: v**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -327.2 + 279. Let w = -47.8 - s. Is -13 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*n - 281, 5*u + 687*n = 685*n + 310. What is the greatest common divisor of u and 11968?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 + 10000110010111111?\nAnswer: 10000110010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 263*i*w + 182*i - 797729*w wrt i?\nAnswer: 263*w + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18268 divided by 4\nAnswer: -4567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 - 16.8. Let z = l + 18.5. Which is the third biggest value? (a) 2\/9 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 24 + 20. Let k(y) = 6*y**2 + y + 1. Calculate k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -28087*n - 12048. Is h(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48*85\/(-340)*-1*2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2882 is divided by 1438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 804431181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -2 - 0) + 9 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - v. Let y be i(4). Let w be (-17)\/3 - 1 - 4\/y. Which is greater: w or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856473341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070798956 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2 - 259*r + 258 = 0 for r.\nAnswer: 1, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 401721 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 + 1010010110111?\nAnswer: 1010011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Put together -429 and 112116411.\nAnswer: 112115982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 314.93 + -313. Let n = f + 0.07. Let j be (2 + -4)\/((-4)\/(-10)). Which is the smallest value? (a) n (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m + 26 - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 6 + 24 + 198)*(2*g + 23*g - 7*g).\nAnswer: 18*g**2 + 4104*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5 - p**4 - 19*p**3 + 9*p**2 + 9*p = 0.\nAnswer: -3, -1\/2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-317)\/(-9) - -2*9\/(-81). Suppose -2*i - 20 = -5*w, 5*w - 5*i + 0*i = g. Suppose w*r - 88 = 92. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 29 = -2*c. Let j = -8 - c. Suppose s - 28 = -j*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174\/215 - 2\/215. What is the nearest to -0.5 in 0, w, 1, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r. Let u(j) = -1133199*j. What is i(u(c))?\nAnswer: -7932393*c","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 804090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4919 = -d - 5*r, 4*d + 14822 = d - 2*r. Let m = -3287 - d. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14250*k**6 + 7*k**2 - 1055 wrt k?\nAnswer: -1710000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15 = -4*r, 8 = 3*r + q - 2. Suppose -2*x = -4*w + 166, -2*w + r*x = w - 117. Let n = -24 + w. Calculate the remainder when 78 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*v + 315 = -181 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4d (base 14) to base 2\nAnswer: -1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n - 3*n + n**2 + n**2 - 6*n.\nAnswer: 2*n**2 - 23*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1000100?\nAnswer: 1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34619 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*j - 78 = 0, 0*h - 5*j = 5*h - 130. Let o = h + -18. Suppose -l + 3 = -2*i - o, 4*l - 33 = -3*i. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1715198 and 2481?\nAnswer: 5145594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i + 28 = -4*m - 24*i, 1234*m - 2469*m + 3*i + 33 = -1239*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(27) - (sqrt(432) + 3)) + -5*(1 + sqrt(27)) + sqrt(27) + -1 + -4 + 4 + -1 + sqrt(27)) + -2)**2.\nAnswer: 3456*sqrt(3) + 9772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16 - -14)*(30 - (1 + 0)). Sort -0.5, g, -3, 0.3 in increasing order.\nAnswer: g, -3, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 460*r + 3528. Determine w(-8).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 7 = 4*l, -n + 8 = -l + n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/29, 3, 5, -0.2, 0.22, 4.\nAnswer: -0.2, -2\/29, 0.22, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4284537 and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -5384?\nAnswer: -538a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*d = 2*d - 2, -4*d + 14 = 3*g. Suppose -g*l = 4*h - 304, 4*h = -l + 35 + 273. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4319018, 4319013, 4319008, 4319003, 4318998, 4318993?\nAnswer: 4318988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 6, -1 in descending order.\nAnswer: 6, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13143 - -13143. Solve 0 = -2*b + 6*c - 9*c, b + 5*c - 7 = z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 69236 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1386983146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**2 + 5*w - 3. Let m be s(1). Solve 0 = -g + m*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1282.389l?\nAnswer: 1282389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3861841?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.0418 + -33.1. What is t rounded to 3 dps?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r**2 - r. Suppose -j = 2*j + 6. Let c be l(j). Let p = c - 46. Calculate the greatest common factor of p and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 = 0, 68*g = 5*z + 73*g - 16270. List the prime factors of z.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001708 to five decimal places.\nAnswer: -0.00171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 235 - 234.758. What is a rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123305342 divided by -2?\nAnswer: 61652671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 369 - 185 - 184 - 13*t**2 - 3*t + 120*t**3 wrt t?\nAnswer: 720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 + -75. What is the units digit of 37\/r*(-1 + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -1036, -2883, -5630, -9289, -13872?\nAnswer: -19391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 556234039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2215 or 2226?\nAnswer: 2215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318327, -318039, -317761, -317499, -317259, -317047, -316869?\nAnswer: -316731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 39891110 divided by 4805\nAnswer: 8302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25303 or 25302?\nAnswer: 25303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u - 1. Let n(p) be the third derivative of -p**4\/24 - 14*p**2 + 5*p. Give -5*n(j) + y(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6398 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/165*341\/(-31)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, q: 4}. What is prob of sequence qqq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*y + 2\/7*y**2 - 2\/7*y**3.\nAnswer: -2*y**2*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**3 + 344*y**2 + 159*y + 74. List the prime factors of x(-56).\nAnswer: 2, 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c*c**(4\/9)*c)\/c*c**(-12)*(c*c*c**0*c)\/(c*c**11\/c) assuming c is positive.\nAnswer: c**(-158\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2930 equal to 2931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -t + 4*t + 2, -49 = -4*t + 5*f. Suppose -c + t = -25. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58793.59 millennia in decades?\nAnswer: 5879359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 2*r**2 + 6*r**2 + 2*r**2.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l - 1. Let c be a(4). Let u be (21\/(-2))\/c*20. What is u rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/10*(-40)\/(-12)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4421 + 34344?\nAnswer: 44320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -23*q - 261. Calculate the smallest common multiple of y(-12) and 162.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - j - 1. Let f be v(2). Suppose 2*s + 7 = n, -n - 3*s = 4 - f. Let y = 0.47 - 0.07. What is the smallest value in y, 1, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**5\/8 + 3*i**4\/4 + 45*i**3\/4 - 21*i**2 - 375*i\/8 + 225\/4 = 0.\nAnswer: -5, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*y - 1170, 0*h - 684 = -3*y + 3*h. Suppose -17*l - 2656 - 452 = -128*l. Suppose -25*k = -l*k + y. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2038, -40.\nAnswer: -40, 0, 2038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 154, 161, 186, 235?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 137*h**3 - 69*h**3 - 70*h**3 - h**4 + h in the form q*h**4 + x*h**2 + i*h + m*h**3 + g and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176 a factor of 203608190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 33184799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -40*x - 382. Let z be r(-15). Suppose -z*g = -231*g + 832. Let m = 0 + 4. Calculate the highest common divisor of g and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13841928, 13841970, 13842012?\nAnswer: 13842054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 - (-5 - -8)) + -1. Solve -32 = 13*n + t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 0*m**3 + 2*m - m**3 + 5 + 77778*m**2 + 6.\nAnswer: -m**3 + 77778*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19486315*g + 2773678*g + 13055067*g.\nAnswer: 35315060*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 + 26*m + 12. Give s(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:51 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 4. Let i be z(5). Let c be (-2 + 8)\/(i\/6). Which is greater: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2574 + 2576. Solve g*i - 4*z + 10 = -3*z, 2*z - 12 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((5*sqrt(90) + sqrt(10))\/(6*sqrt(45)))**2 + (sqrt(450) + 5*sqrt(450) + sqrt(450) + sqrt(450) + sqrt(450))\/sqrt(9) + 2.\nAnswer: 452\/81 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -30. Suppose -d + 25 + 12 = q. Let y be d + (1*(-1 - -3))\/(-1). Which is smaller: 34 or y?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from dygdddyddldddydyxgl?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/((-2)\/36). Let m(k) = 28*k - 5 + 2*k**2 + 19*k - 36*k. Calculate the remainder when m(v) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 = 1. Suppose -g + 14 = 5*d - 2*g, 0 = -3*d - 5*g - 14. Suppose 0 = x - d*x. Solve x = p*l + 4 + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -28. Let k = 5 - m. Does 9 divide (k + -2)\/(9\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.215147 decades to months.\nAnswer: 505.81764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 436*i**3 + i**2 - 4*i**2 - 2*i**2 - 435*i**3. Calculate j(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1 - n)*(-3*n**3 - n**3 + 15*n**3) as l*n**3 + a*n**2 + i*n**4 + x + w*n and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -4350000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiliiiliiiiiiilliii. Give prob of sequence lll.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g - 11*g + g**3 + (-g**2 + 0*g**2 - g**2)*(-g - 2*g + g))*(17*g**2 - 11*g**2 - g**2).\nAnswer: 25*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(12\/576*-10). Solve -9 = -5*v + j + 8, -4*j + a = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 540 = -30*m. Calculate the lowest common multiple of 52 and m.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3710133 times 0.2?\nAnswer: -742026.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/6)\/((30\/8)\/5). Let w be a - 3 - -6*1\/2. Calculate the lowest common multiple of 6 - 0\/(w - 0) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.42779 and 0.05.\nAnswer: 0.0213895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/78*-2)\/((-1)\/3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 299989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**3 - 5*b**2 + 4*b + 4. Let x(d) = d**2 - d - 1. Let z(g) = -t(g) - 4*x(g). Let l = 78 + -79. Determine z(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + i - 1. Let g(h) be the second derivative of -h**4\/4 + h**3 - 7*h**2\/2 - 4*h + 9. Calculate -g(f) + 6*k(f).\nAnswer: -3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447, -904, -1361, -1818, -2275?\nAnswer: -2732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {f: 4, t: 1, o: 4, y: 6, c: 2, l: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*v + 68. Solve -v - 6 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g = 12*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752099 is divided by 108?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n + 2*s = -117, -3*n = -5*s - 117. Let w = n + -37. Suppose -w*d + 140 = 2*d. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1150*b**3*f*s**3 - 7*b**3*s**3 + b*f*s**3 - f*s - 207*s**3 wrt f.\nAnswer: 1150*b**3*s**3 + b*s**3 - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2)*1) - (4 + sqrt(272)).\nAnswer: -3*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*l = 19, 2*j - 3*l + l = -12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvcc when four letters picked without replacement from xxxcvxxxcxcxxq?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1658716.76548 - -0.25.\nAnswer: 1658717.01548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -31345520 (base 8) to base 12\nAnswer: -2298780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 1, p: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106.04 - -106. Let r = -41 + 45. What is the smallest value in r, 1, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*104\/858*77*6\/16.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 5*l + 4. Let q be m(-6). What is the highest common divisor of q and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2594516, 5189140, 7783764, 10378388, 12973012?\nAnswer: 15567636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*c - 4. Let z be (45\/(-6))\/((-2)\/4). Solve c*t - z = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -338417645*m**3 - 5126819590*m**2 - 5557385760*m - 1564778880.\nAnswer: -5*(m + 14)*(8227*m + 4728)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -382421611 and 0.\nAnswer: -382421611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -172, -262, -354, -448, -544?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/34*20\/2. Suppose 0 = y*i + 2*i + 224. Let x = i + 27. Let g(c) = c**2 + 5*c. What is g(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2 = 3*j, 4 = 4*o - 2*o - 2*j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 + (-8)\/(-6). Let u = -79 - -81. Let y(o) = u + l - 11*o**2 - 3. Let r(c) = c**2. Determine y(r(k)).\nAnswer: -11*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 3:43 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13653773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 3:41 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 11:41 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42471)\/(-17820) - 2\/40.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 7:31 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -890 - 171. Let i = 756 + x. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(432) + (sqrt(432) - (sqrt(432) - -1*sqrt(432))) + sqrt(432))**2*1 + 1*((0 + sqrt(432))**2 + 0 - sqrt(432)).\nAnswer: -2160 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 277 = -281. Suppose -3*m = 2*y - 2, -y = 5*m - 4*y + 3. Suppose 23*u - 27*u + 12 = m. Solve 0 = -n*p - 5*s - 1 - 10, u*p - 4*s = 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -5, -252, 11328, 4 in decreasing order.\nAnswer: 11328, 5, 4, 0, -5, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 39 = -5*k. Let h be 96\/k*(-1 - 5\/(-4)). Solve -h = -x - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) - -4*sqrt(117)))*-6 - -6*-3*sqrt(117))\/(2*(-5*(-1*sqrt(144) + sqrt(144)) - sqrt(144) - sqrt(144))).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -0.3, 2\/11, 0.07, -1.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -20*b + 316. Is -1 - (-1 + b)\/((-2)\/77) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 144 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, -5, -173, 8, -18 in ascending order.\nAnswer: -173, -18, -5, 8, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -11. Let z = 6 - 6. Let h = z - 0.4. What is the second biggest value in m, h, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/2534 + -19674001\/12670. Let s = 1558 + i. Let v = 27\/5 - s. Which is the nearest to v? (a) -2 (b) -1\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 17967?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((168\/182)\/(-3))\/(406\/(-1885))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 554664917.96691 + -554661500. Let y = d + -3418. Let v = y - -0.035. Round v to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 + 3*t + 2 + 3*t + 4*t**2 - 3*t**2 as j*t**2 + y*t + i and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1060 + 1097. Solve 6*q + r = 55 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**3 - n - 1. Let h be (-2)\/6*(2 + -8). Let x = 1 - h. What is d(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392282770 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**9\/1008 + t**5\/15 + 2*t**3\/3 + 7. Let p(f) be the third derivative of b(f). What is the second derivative of p(l) wrt l?\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**5\/3 - h**4\/12 - h**3 + 32*h**2. Let f be p(4). Suppose r = f - 99. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -560022 (base 7) to base 12\nAnswer: -48b89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*u + 3*h - 8, 3*h - 12 = 0. Calculate the common denominator of 9\/2 and ((-2)\/(-6)*-10)\/u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 73496*c - 3601296. What is f(49)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 13. Let p be g(-12). Let x = -2\/145 + -52\/435. What is the biggest value in p, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l - l**2 + 6 + 1 - 3. Let g be k(7). Suppose 0 = z + 2 - g. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 762 and 12?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 6:13 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 o, and 1 n when four letters picked without replacement from {g: 4, o: 2, w: 2, n: 3, b: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -44. Let n(x) = 2*x - 6. Let o be n(l). Let k be o\/9 - (-115)\/15. Solve -25 = -2*v + k*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773493209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 = -6. Suppose -x + j = 4. Let c be ((-45)\/(-27))\/(x\/(-6)). Solve 20 = -5*f + c*q, 11 = -4*f + q - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 2334?\nAnswer: -7\/778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 12*s - 36. What is the greatest common divisor of s and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-28)\/(-10))\/((-12)\/(-30)). Suppose -l*r = -2*r. What are the prime factors of (-19 - (r + -2))\/(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 101883, 203767, 305651, 407535, 509419?\n\"Answer: 101884*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4853.38 * -0.17.\nAnswer: -825.0746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/51 and 4\/161?\nAnswer: 8211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(-3) + -1)*-3. Let n be (0 - 2)\/v*86. Suppose -4*i = -5*c - 89, 3*i + 2*c - c = n. What is the greatest common divisor of 24 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2640 or 2609?\nAnswer: 2640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11559 (base 16) in base 6?\nAnswer: 1304413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13698, 13697, 13696?\n\"Answer: -u + 13699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3 + 3*m**2 + m**2 + 1. Let i be v(2). Suppose i = 5*y - 31. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6523 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: Rearrange -29 + 368*v**2 + 106 - 77 + (v + 0*v - 4*v)*(-v + 4*v - v) to the form y + u*v**2 + c*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35411435?\nAnswer: 5, 239, 29633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, p: 4}. Give prob of picking 1 t and 1 p.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29584, 115165, 257822, 457573, 714436, 1028429, 1399570?\nAnswer: 1827877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*z**3 - 1077725*z**2 + 1077725*z**2.\nAnswer: 74*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 0*k + 0*k**2 - 2\/15*k**5 + 0*k**3 - 1\/18*k**6 - 1\/12*k**4 - 1. Determine w, given that t(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 85920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) 87623 (c) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3137 + 2273 = -6*i. Calculate the remainder when i is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(6250\/(-25)))\/(2\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80.19 - 1.19. Let m = z + -78. What is the fourth smallest value in m, -4\/5, 3, -6\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619556 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 the thousands digit of 3789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/15)\/(1\/(-25))*-40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 9:41 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-15))\/(780\/936)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 16 = -10*f + 9*f, -t + 4*f = 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*g + 125. List the prime factors of g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.012 (b) 11 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1085596*-5.\nAnswer: 5427980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p - 111*p = 1911 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5838)\/(-7)*(-13 + 5 - -9). Solve 2*x = 848 - p for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -1. Let l be y\/2 + 8\/16. Which is the third smallest value? (a) 0.2 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*n + 5*k, 3*k = -3*n + 2*k + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**3\/7 - 2505*a**2\/7 + 61212*a\/7 - 53460 = 0. What is a?\nAnswer: 11, 14, 810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 90323248 a multiple of 2928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -20*q**4 - 156*q**3 + 12*q**2 + 844*q - 168 = 0.\nAnswer: -7, -3, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/3972810 and -49\/13242700.\nAnswer: 39728100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (673 - (1 - (2 - -2))) + -3. Suppose -t + 2052 = 2*t - s, t - 4*s - a = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -3*l - 34, -2*l + 2*p = 24 - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14782 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -207*n - 199. Let k be z(-19). Let i = k - 165. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at least as big as 51731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -5\/6*v**3 - v + 3*v**2 + 0. Let p be 14*(-3)\/(-6)*-1. Let x(n) = 9*n - 11. Give p*d(k) - 4*x(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51 - -3a9?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37887906 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13153551 = 7*z - 9946449. Round z to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**6\/120 + g**5\/15 + g**4\/6 - g**3\/2 + 7*g**2. What is the remainder when 25 is divided by a(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89 and 11?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 6. Let z be (-17 + -1)*j\/(-4). Suppose -3*f + z = 2*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, x: 2, t: 4, v: 1}. What is prob of sequence vq?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3330994879 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**3\/12 - 29*l**2\/8 + 7*l + 279. Find w such that p(w) = 0.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1658477 is divided by 414612.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 207, 428, 737, 1134, 1619?\nAnswer: 2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30380, -243183, -820800, -1945637, -3800100, -6566595, -10427528?\nAnswer: -15565305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245823346 divided by 50353.\nAnswer: -4882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*h + 22 = k - 288*h, h = 3*k + 4. Let f = 5 - 4. Which is the nearest to f? (a) 3 (b) k (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*c + 60 = 306*c + 4031 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 10 + -67 + (-2 - -3 - (11 - 17))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/25 and (13\/(-7) - -1)\/(10\/(-42)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16875 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p - 147. Let h be k(18). What is the units digit of ((-11992)\/(-24) - 11)*h\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44335738.86 rounded to the nearest one hundred thousand?\nAnswer: -44300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Let a(h) be the third derivative of -h**5\/30 + 3*h**2. Determine a(x(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*b - 12, 2*r + 2*b + 3 = 11. What is i in -2\/3*i**2 + r*i + 0 - 2\/3*i**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 11. Suppose -5 + 2 = -w. Suppose r + 2*z = -3, -4*r + 16 = m*z - w*z. Solve 4 = -2*k + k + 4*b, 3*k + r*b - 22 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16942 and 3152.\nAnswer: 135536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k - 12088 = -11247 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7457 equal to 2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1023*-2461.2\nAnswer: 2517807.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + -4 + 8 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 3:11 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -j + 5*j + 1805, -2285 = 5*j + 2*r. Let n = 642 + j. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 6323857.\nAnswer: -12647714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366415 and 1444?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/8)\/(m\/m**(4\/5)))**(-24\/11) assuming m is positive.\nAnswer: m**(39\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 88906272?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Suppose -2 = -a - 2*q, 3 = 2*a + 5*q + 1. What is the least common multiple of a and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108541\/53 + 2048. Let v = u + -383\/212. Does -3 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 979 + -981. Which is the closest to f? (a) -0.02 (b) 0 (c) 2\/11 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -53742 (b) -4 (c) -0.06 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 47?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 4*k + 20, 1012*h + 25 = 1014*h - 5*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800)*-4)\/(sqrt(6) + sqrt(60)\/sqrt(10)*-6).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlqqvjbvql. Give prob of picking 1 q and 1 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.72 times 5?\nAnswer: -83.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/7)*t)**(-3\/2)\/(t**(-4)\/t)**(-10) assuming t is positive.\nAnswer: t**(-739\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 7*v**2 + 9*v + 13. Let h = 1861 + -1869. Give m(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*p + 4*q, q + 4 - 3 = 0. Let w = -8 - -12. Let a = 6 + w. What is the smallest common multiple of a and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = m + 3*j, -2*m + 333 = j + 68. Is m a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)\/f)\/(f\/(f**(-2\/23)*f)) assuming f is positive.\nAnswer: f**(-121\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5655350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.10813 (b) 1\/5 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 - t**2 - 16*t + 11. Suppose 14*j = -15*j + 87. Calculate the remainder when 37 is divided by u(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13895465 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110424 (base 5) to base 13.\nAnswer: 12ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -1133*u**5\/20 + 2*u**4\/3 - 5*u**2\/2 - 1577*u. What is the third derivative of y(p) wrt p?\nAnswer: -6798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.43 and -0.0426.\nAnswer: 0.018318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 2*v**2 - 2*v + 1. Calculate the least common multiple of 11 and i(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 10*u - 33 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(12) - sqrt(108)\/sqrt(144)).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -2. Let m(t) = 52*t**2 + 169*t - 168. Let h be m(1). Suppose 7*d - h = q*d. What are the prime factors of d?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 16. Let y(s) = -s**3 + 4*s**2 + 6*s - 2. Let a(x) = x**3 - 3*x**2 - 5*x + 1. Give f*a(q) + 3*y(q).\nAnswer: q**3 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 13. Let d = 148 + -150. Which is the second smallest value? (a) n (b) d (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1164182*m**2 + 2683046 with respect to m.\nAnswer: -2328364*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2486266 and 41\/10?\nAnswer: 12431330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 666 + 2*v**4 + v + 678 - 2*v**2 - v**3 to l*v**2 + d + i*v**3 + p*v**4 + q*v and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/6*(-12)\/27. Let h = 696 - 695.5. What is the nearest to h in -2, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/3 (b) 3\/8 (c) 2 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d - 138. Let f be i(-16). Solve -4*n - f = -30 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 11*h**2. Let t(s) = -7*s - 14*s + 12*s. Give t(q(u)).\nAnswer: -99*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1241 + -1240.111. Let s = h - 0.85. Round s to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/529 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 425 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 386?\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 749826*w**3 + 1435*w**4 + 300*w**4 - 749826*w**3 + w + (-w**2 - 4 + 4)*(-w**2 + w**2 - 3*w**2) as r*w**2 + a*w**4 + y*w**3 + s*w + j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 + -105. What is the nearest to -1 in f, 5, 1\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + t**2 - 2*t**2 + (-1 + 0 - 2)*(1 - t**2 - 1) as n*t**2 + c*t + f and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 274964*t**3*z + t**3 + 137*t**2*z + 2*t**2 + 1021*t + 24123*z + 1 wrt t.\nAnswer: 1649784*t*z + 6*t + 274*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiiiiiviivvv. Give prob of sequence iiv.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300086.\nAnswer: 2, 19, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 1 (c) 0.3 (d) 51 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -10 (b) 3\/7 (c) 0 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/((-8)\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -7, -25, 0, 0.2, 19\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - u**4 + u**4 - u**4 + 0*u**4 + 0*u**4 - 2*u**4 - 2*u**4 + 3*u**4 + (0*u - 3*u + u)*(5*u**3 - u**3 - 2*u**3) - 7*u**4 - 4*u**4 + 2*u**4.\nAnswer: -14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyk when three letters picked without replacement from jwjkjijwjujwyuk.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1 + 3 = 0. Let g = b + 1. Let h(n) = n**3 - 3*n**2 + 3*n. List the prime factors of h(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23143421 (base 5) to base 4\nAnswer: 303011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 79510.926 to the nearest ten.\nAnswer: 79510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*t + 3*t. Let y be (0 - (5 - 80\/18)) + -1. Is t at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000138211543 rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 65*l**2 - 324*l**3 - 12 + 65*l**2 - 760*l**3 to the form p*l + z*l**3 + n*l**2 + s and give z.\nAnswer: -1084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgkwwwkwkwkwnggkwk. What is prob of picking 2 w and 1 k?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11969 is divided by 11942.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 142908*c**2 - 1286294*c - 2858520.\nAnswer: 2*(c - 71463)*(c + 4)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/2622*6 + ((-1146)\/46)\/1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -3272, -0.053, -4, -2?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 8:39 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*y**3 - 1014248*y**2 - 132946659.\nAnswer: 15*y**2 - 2028496*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170 - 168. Let d(k) = -k**3 + 4*k**2 + 6*k - 10. Let u be d(z). Solve 1 = -3*b - 2*p, 3*p + u = 3*b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-3)\/97) + -1. Suppose h = 31 - u. Let i = h + 130. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d519e + 3d?\nAnswer: d51dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**4 + 36*w**3 - 72*w**2 + 57*w - 9. Let s(t) = -t**4 - 18*t**3 + 36*t**2 - 28*t + 4. Let m(a) = -4*k(a) - 9*s(a). Factor m(j).\nAnswer: -3*j*(j - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 745560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z + 28 = 0. Let w be z\/91 - (-74)\/(-26). Is 347\/7 - w\/7 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 828*i - 98533. Calculate n(119).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.13, 0.1, -9.\nAnswer: -9, 0.1, 0.13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558 = 231*f - 225*f. Solve f*l - 110*l = -34 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7331.999994247 - -7332. Round m to seven decimal places.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 a when four letters picked without replacement from {a: 1, d: 5, j: 1, q: 4, m: 4}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0854253 times 9?\nAnswer: -0.7688277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -661 + 3722*g + 228 - 3720*g + g**2 - g**4 in the form r*g**3 + w*g + k*g**4 + p*g**2 + t and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 428 and 15716588?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 167 = -175 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*j - a, -3*a = -3*j - 7*a + 35. Let h = 30 - j. Does 22 divide (330\/h)\/(6\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10658*-0.29\nAnswer: 3090.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 6*w = -3*l - 40, 4*l - 897*w = -891*w + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.11, 1\/11, 166.253, -3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - ((-4 + sqrt(76) + sqrt(19))**2 + sqrt(19)))*2 - ((-1*sqrt(95))\/sqrt(5) + -2) - (-5 + (sqrt(1539)*1)**2)*6*1.\nAnswer: -9576 + 49*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 624, -37.\nAnswer: -37, -5, 2, 624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 385 divided by 77\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c + 3*c - c + 11. Let x(v) = -5 + 2 + 1. Let m(s) = s**2 - 6*s + 6. Let g be m(4). What is g*b(o) - 11*x(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13168794?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 - ((-1 - (-31 + 25)) + -42).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3126 is divided by 136.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {d: 8, y: 1, c: 2, z: 1, l: 2, f: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/1177 - 2364\/5885. Sort -5, -2, w, -0.089 in ascending order.\nAnswer: -5, -2, w, -0.089","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003247 rounded to five dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deegebbseoegggbgg. What is prob of sequence gb?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 306384 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7652\/15 - 2006\/5. Let x = -912 - w. What is the closest to x in -0.059, -2\/19, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -4*p + 12 - 126 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 318823 + 6?\nAnswer: 318829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 13*p = -12. Suppose 10 = 3*y + 4*n, 0*y + 2*n = -5*y + 26. Sort -1, y, p, 0.\nAnswer: -1, 0, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -30*z. Let s(m) = -629*m - 8. What is s(o(k))?\nAnswer: 18870*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1877204 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 - 104*l + 3. Let o be b(26). Suppose 0 = 4*m - r + 2*r - 11751, m - o*r = 2954. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 772*b. Let p(a) = -5274*a**2. Calculate i(p(x)).\nAnswer: -4071528*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (sqrt(252) - sqrt(252)*-2)) + -2 + sqrt(7) + -2.\nAnswer: -11*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -44\/153, 79\/18?\nAnswer: 79\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/4 - 25*x**3\/2 - 587*x**2\/4 + 319*x\/2 = 0. Calculate x.\nAnswer: -29, -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*(h\/(h\/(h*(((h**27*h)\/h)\/h)\/h)*h*h*h))\/h*h)*h)\/(h*h*h\/(h*h**(-33))*h)*(h**33)**(-2) assuming h is positive.\nAnswer: h**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -82522787 divided by -455927\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 18697*r + 7551 - 7552 + 3*r**2.\nAnswer: 2*r**2 + 18697*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 81979, 163958, 245937, 327916?\n\"Answer: 81979*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2\/2 - 44475671*o - 1978085310900241\/2 = 0 for o.\nAnswer: -44475671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = 0, -c + 63 = -k - 2*c. Let d be 6\/10 - k\/15. What are the prime factors of 85*(3\/d)\/(-3)*-5?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124878, 124882, 124896, 124926, 124978, 125058, 125172, 125326?\nAnswer: 125526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -32. Let x be 5\/(-5 - 0)*r. Solve -3 + x = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 12:57 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + sqrt(85)*-1*-5 + (sqrt(85) - 1*1*sqrt(85)))\/(-3*(-5*sqrt(80) + sqrt(80) - sqrt(80))).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrrrjrmsjjrysmjj. What is prob of picking 1 r and 2 s?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -521, -518, -515, -512, -509, -506?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-184)\/(-161)*(-14)\/(-4). Suppose -d = -5*d + 360. Let v = -54 + d. Calculate the greatest common factor of v and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -36755.75634 rounded to the nearest one thousand?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/18602?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unn when three letters picked without replacement from {e: 2, g: 2, u: 1, n: 2, x: 3, s: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 2*r - 2*r**4 + (3*r**3 - 2*r**3 + 2*r**3)*(2*r + 7*r - 5*r) to the form h*r**3 + j + x*r + c*r**4 + l*r**2 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 - 819200*q**3 - 33554432000*q**2.\nAnswer: -5*q**2*(q + 81920)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 22331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7298 + -7286. Let f(i) = 2*i - 2. Calculate the lowest common multiple of f(10) and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (4 + 4 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/6)\/((-14)\/(-2226)). What is the tens digit of -5 + 1 - -6 - s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4548? (a) 7 (b) 4 (c) 0.3 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4345 - 14*j**3 + 4345.\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*x - 6. Let f(n) = 5 - 1 + 8*n**2 - x - 5*n. Let z(l) = 264*l + 267*l - 530*l - l**2. What is -f(g) - 6*z(g)?\nAnswer: -2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079 is divided by 98?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arprrhqwqrapprwhr. Give prob of picking 1 h and 1 p.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02255 + 74.97745. What is the fourth biggest value in -4, 3, -2, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -17. Calculate the remainder when 14 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 + x**3 - 4*x**2 + 20*x + 0*x**2 - 19*x + 2 as h*x**3 + c*x**2 + r*x + j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 r, and 1 s when four letters picked without replacement from rrsserebbsdr?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.109.\nAnswer: -0.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -29*n + 577. Let m be t(20). Let w(x) = -2*x**3 - 7*x**2 - 2*x - 15. Give w(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.92 - 4217.232128.\nAnswer: -4222.152128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 - 2671577325?\nAnswer: -2671577325.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14)\/((-6)\/42).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18039 + 65814. Suppose -f = 5*o + 2225. Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 91*s - 1741. What is g(19)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from chccccccxcc?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 368605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3368 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + c + 3 = 0, 3*c - 7 = 3*o - 2*o. Calculate the least common multiple of 11 and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 8, m: 1, p: 6}. Give prob of picking 1 m, 1 u, and 1 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*y + 298*y + 34*y as l + c*y and give c.\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 9 = -49. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 364 + -2?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10300 (base 6) to base 3\nAnswer: 1221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.018 and -2.14.\nAnswer: -0.03852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -668 - -641. Let z = -246 - -172. What is the remainder when 147 is divided by z\/3*x\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 27164*t - 15808550. Calculate i(-595).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.29092 years in millennia?\nAnswer: 0.00129092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 - 20*z**2 + 10. Let o be x(-10). Let q be ((-15)\/(-10))\/(3\/o). Solve 1 - q = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012012011212 (base 3) in base 4?\nAnswer: 2122230200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50736758325147 - 0.03.\nAnswer: -50736758325147.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1003 is divided by 269.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 986398?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -16. Let t be (-1)\/(4 - (-861)\/(-215)). Suppose u*d - 1511 = -t. Calculate the highest common factor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y**2 - 2*y - 16. Let v(x) = -13*x**2 - 6*x - 30. What is 7*k(d) - 4*v(d)?\nAnswer: 3*d**2 + 10*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p - 4*z - 2, -z + 4 = -p. Let c = p + 4. Find the first derivative of c + j**4 - 1 + 1 wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 411 - 243. Let h = -85 + a. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011100 (base 2) to base 14.\nAnswer: -b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 + 61. Is (-38)\/1*3*6\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**11\/r)\/r)**(3\/4) assuming r is positive.\nAnswer: r**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**(-43)\/((q**(-6)\/q*q*q)\/(q*q**(2\/3))) assuming q is positive.\nAnswer: q**(278\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -77. Let p = 128 - j. Let d = -32 + 53. Calculate the remainder when p is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 23. Let c = -60 - -184\/3. What is the nearest to 1\/5 in y, -2\/7, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a = -2031. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 3*l + 115 = -5*s, 130 = 5*s - l. Let t(z) = -z**3 + 26*z**2 + 12*z - 36. List the prime factors of t(s).\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(1*sqrt(9)*1) + sqrt(12)\/(2*sqrt(4)) + (0 + sqrt(147))**2.\nAnswer: 3*sqrt(3)\/2 + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r. Let v = 18 + -16. Let l(h) = -2. Let c(d) = -d + 2. Let y(g) = v*l(g) + 2*c(g). Let w(t) = -5*q(t) - 6*y(t). Let m(o) = -o**2. Give w(m(n)).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26.1 - -27.1. Sort 2\/3, c, -1\/2, 1\/5 in descending order.\nAnswer: c, 2\/3, 1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4 = -4*j, -9*j + 7 = -3*q - 11*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*s**2 - 4 + (5*s - 5*s - s)*(-5*s + 3*s + 4*s) - 4*s**2 - s**2 + s**2 + (-2 + 5 - 2)*(118*s**2 + 67*s**2 - 145*s**2).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a. Suppose 10 = -x - 4*m, -9 - 3 = 5*x + m. Let v be (-9 + 11)*(-6)\/(-4). Let s(i) = -7 + 6 + v*i - 7*i. Determine x*r(p) - 3*s(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4416 * 21021.\nAnswer: -9282.8736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -893*o + 3650. Determine f(4).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1960380537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c - 12. Let n(u) be the first derivative of -u**4\/24 - u**3\/3 + 8. Let g(j) be the third derivative of n(j). What is a(b) - 12*g(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 + 770?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 620930651 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*r**2 - 23*h**2 - 273*h*r**2 - 6*r**2 wrt h.\nAnswer: -6*r**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*q**3 + 59*q**3 + 53*q**3 + 56*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10750 + 15362. What are the prime factors of g?\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**3\/3 + 7*v**2 + 13*v + 10. Does 17 divide d(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8706*s = -8695*s. Let j(v) be the third derivative of s + 0*v**5 + 0*v + 0*v**4 - v**3 - 1\/40*v**6 - 16*v**2. Find the first derivative of j(u) wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*sqrt(704))\/(sqrt(48)\/(2*sqrt(12))).\nAnswer: -40*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*h - 4 = -16, -3*h = 2*g + 3. Suppose 81*q + 70 = 556. Suppose r = g + q. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 - 23. Calculate the remainder when 1563 is divided by z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177554731 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 115*s + 80. Calculate t(0).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 85 = -63. Let d(h) be the third derivative of 4*h**l + 0*h + 0*h**3 - 1\/8*h**4 + 0. Let k(j) = -j**2. Calculate k(d(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521*f**2 - 1988*f**2 - 516*f**2 - 50*f**2 - 533*f**2 - 1581*f**2.\nAnswer: -4147*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*l - 73*l + 3800. Let g = 94 - -58. Calculate the greatest common divisor of l and g.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 12:39 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 494987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (25714\/(-6923))\/(4\/(-42))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 + -4 + 11 - (-13 - -25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*-229*(35\/(-10) + 3). Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (222\/1850)\/(18\/20)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 175, -10, -18, 6 in increasing order.\nAnswer: -18, -10, 4, 5, 6, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-10)*(-10)\/4. Let b be (-2)\/(-4)*g*-3. Let w be ((-50)\/b)\/(2\/(-30)). What is w rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 1 - (9524 - 9534)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(14\/3)*u**44 assuming u is positive.\nAnswer: u**(146\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -2. Let a be (6\/(-9))\/(w\/423). Suppose -3*d = x - 6*x + 106, -5*x = 3*d - a. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*h + 54 = 0, -23 - 46 = -5*k + 3*h. Let m be (-3)\/(-3) + -2 + 16. Let u be (-84)\/m - k\/30. Let d(y) = y**2 + 6*y - 2. Determine d(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/356, 3\/61, -1\/217?\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 84 = -13*u. Let l = -18 + 30. What is the remainder when l is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 359226366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137719?\nAnswer: 41, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*s - 303*s + 3796*s**2 + 4062*s**2.\nAnswer: 7858*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131220 + 2?\nAnswer: -131212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24298034, 24298033, 24298032, 24298031?\n\"Answer: -y + 24298035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2091, 2092, 2093, 2094, 2095, 2096?\nAnswer: 2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/14*(-2)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 + 55*b**3 - 195*b**2 + 225*b.\nAnswer: -5*b*(b - 5)*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 382 = -5*r + 3*r, -4*q = -5*r + 791. Let z = 190 + q. What is the smallest value in -5, z, -4\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**2\/13 - 9772*c - 155174474 = 0.\nAnswer: -31759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125.003 - -124.2. Let o = -0.8457 - l. What is o rounded to 3 decimal places?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151 + 156. Solve -2*f = 5*l + i, -f - 3*f = -2*l + 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6273269 + 6273266.3618887. Let g = 2415 - 2417.638. Let x = i - g. What is x rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2323 is divided by 145.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -185 or -183?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 370, 0, 6, -1 in descending order.\nAnswer: 370, 6, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**4\/6 - 16*j**3 + 73*j**2\/3 + 174. Determine i, given that w(i) = 0.\nAnswer: -73, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 144 in -1\/6, 5, -4, 4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 76 = -p, -3*p - 35 + 215 = -b. Solve 0 = -k - 3*d + 7, k + d - p = -60 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8 = -61. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 38, 135, 324, 635, 1098?\nAnswer: 1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + 3. Let l = v + -18. Suppose -4*p + l*o + 22 = o, 5*p + 3*o = 41. What is the remainder when p is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41410 (base 7) in base 13?\nAnswer: -480a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 118 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 3:44 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 21*d**2 + 41*d + 3. Determine m(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4*(-4 - 146). Let b = 75 - m. Let j(w) = w + 6. Let u be j(b). Solve 4*r - 4*g = 16, -u*r + r + 2 = 4*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - -344 - (12\/2 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) -1 (b) 1\/3 (c) -3 (d) -5 (e) 0.5 (f) -2\/1515\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*l + 3. Suppose l*t + 5 = -5*p + t, -4*p - 22 = -5*t. What is the third biggest value in 5, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 41*z = -43*z - 21122000, -21122000 = x - 2*z. Round x to the nearest one hundred thousand.\nAnswer: -21100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 88*g - 210*g + 86*g to r*g + k and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(0 - 6 - -5). Let y(z) = 8*z**3 + 4*z**2 - z + 5. Let b = -2 + 3. Let k(x) = -x**3 - x**2 - 1. Let n(a) = b*y(a) + 5*k(a). Give n(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7073.\nAnswer: 11, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 1795 = -14*p + 5*m, -2*p - 2*m + 920 = 0. What is the highest common divisor of 105 and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*d = 22, 0*d = 2*p - d - 56. Suppose 6*n + 0*n = p. Suppose -3*h - 5*c = -4684, 2*c = -n*h - c + 7780. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -87*m**3 + 8*m**2 - 6*m. Determine p(1).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (-794529)\/(-72) + (-7)\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*o - 20, -5*o + w - 3 - 11 = 0. Let a = 9 + -7. Let m be 1*o\/a + 23. What is the greatest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 919, 503, -7, -21 in descending order.\nAnswer: 919, 503, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*z**5 + 19294*z**3 - 11*z**2 - 226*z - 3315 wrt z?\nAnswer: 160*z**3 + 115764*z - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 139*r - 99. Let q(z) = -3*z + 1. Let j(u) = 3*q(u) - x(u). What is the derivative of j(l) wrt l?\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47.04 * -0.846.\nAnswer: -39.79584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 994862257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.96 + 0.04. Let k = -4 + t. Let l = -0.14 + -0.36. Put l, k, -3 in decreasing order.\nAnswer: k, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + d. Let y(j) = -873*j**2 + 3*j + 529. Let l(w) = 3*u(w) - y(w). What is the first derivative of l(q) wrt q?\nAnswer: 1734*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 19, -28, -103, -212, -361, -556, -803?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**2 + 3*x - 3. Let q(c) = -c**2 + 6*c + 9. Let w be q(7). Is m(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*u + 14. Suppose 0 = 2*m + u*m - 120. Suppose 2*b - 103 - 17 = 0. Calculate the highest common divisor of m and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 11*d + 2. Let x be (-124)\/(-24) + 6\/(-36). Let n be s(x). Is (4324\/(-161))\/((-2)\/n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 2:17 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*y - 0*y + 64, -5*y = 3*o - 106. Suppose 5*l + o = 7. Put l, -2, -1 in descending order.\nAnswer: -1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k**6 - 30250*k**3 + 32*k**2 - 2*k - 133?\nAnswer: 480*k**3 - 181500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439629400?\nAnswer: 2, 5, 7, 314021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 + -6 - (-1 - -47)) + -16?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**25\/(w\/((w**(-2)\/w)\/w)*w**(1\/5))*(w*w*w*w*w*w**(1\/4)\/w*w*w*w*w)**(5\/12)*w**0*w*w**(-6\/7)\/w assuming w is positive.\nAnswer: w**(-15467\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 2:09 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 14 - 6 = 2*p, -4*p - 16 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.75 - 0.45. Let d be 1 + -2 + (-4)\/(-6). Sort -4, d, y.\nAnswer: -4, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geeiggigge. What is prob of picking 1 g and 1 i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8014927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*x**2 + 17272*x + 31*x**2 - 2 - 17266*x - 137*x**2 in the form j*x + s + p*x**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6028 and 4384?\nAnswer: 48224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from myavr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 1144, 2585, 4604, 7201, 10376?\nAnswer: 14129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -657 + 1889. Does 28 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*z = -6, 2*z = -0*z. Suppose 5*y - i = 21, i + 0*i - 7 = -q*y. Let p be ((-2)\/y)\/((-9)\/(-6)). Which is smaller: -2\/15 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(3\/5)*(u*u\/u**(-2\/7)*u)\/u)\/(u\/(u*u**(-2\/15)\/u)*u)**(2\/11) assuming u is positive.\nAnswer: u**(3809\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28567 - -28718.9. What is u rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51987977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -1. Let t = -7.06 + r. Let c = -0.06 - t. What is the nearest to -3 in -3\/7, 2\/19, c?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - f + 4. Let x be s(0). Let n be x\/(-14) + (-60)\/(-14). What is the units digit of (n\/(-6))\/(2\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6951 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -27, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(144)*-2 + sqrt(144))*6)\/(((sqrt(15) - ((sqrt(270) - sqrt(30))\/sqrt(2) + sqrt(15)) - sqrt(15)) + sqrt(15))\/((-1*sqrt(35))\/sqrt(7))).\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/3 + -2)*-3. Suppose 12 = 3*y - 0*y. Suppose y = q + w. Solve -5*v - q = -13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4253437*b**2*x + 5*b**2 - 27*b*x - 68822*b + x + 2 wrt b?\nAnswer: 8506874*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4*45\/(-18)*3\/(-15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81587.\nAnswer: 11, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 13*r + 5. Let w(d) = 79*d**2 - 6*d + 2. Is 5 a factor of w(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 10*a + 15. Let p be k(6). Let v = p - -4. Sort v, 4, 0 in descending order.\nAnswer: 4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/237 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 - 2*o**4 + 4 - o**3 + 2113*o**2 - 2*o - 2096*o**2 in the form j + h*o**4 + i*o**3 + l*o**2 + s*o and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 2 + ((30\/81)\/(-5) - 108024\/(-52083)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -583, 9.\nAnswer: -583, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 + 172*d\/3 + 169.\nAnswer: (d + 3)*(d + 169)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**6\/120 + 2*d**5\/15 - 5*d**4\/12 - 2*d**3\/3 + 2*d**2 - 36. Calculate c(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50 from -33.9874.\nAnswer: -83.9874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -132 + -1225?\nAnswer: -1357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(5 - 4) + -49. Let s be 256\/l + 6*1. Let m = -0.5 + 0.3. What is the second biggest value in s, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -14. Suppose -j = -4*b + 5*i, 4*b - 14 = -0*i - 2*i. What is the second derivative of -11*p + 12*p - 2*p**2 + 2*p**2 - 2*p**b wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 - 3*f**4 + 6*f**4)*(-2*f - 55*f + 8*f) + 2*f**5 - 4*f**5 + 3*f**5 + (-1 - 2*f + 1)*(-3*f + 3*f + f**4).\nAnswer: -148*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r = -40*r + 430 - 1480. Calculate the highest common factor of r and 945.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62005 (base 7) to base 9\nAnswer: 22634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1. Let n = -1 + f. Let v = 8 - 5. Solve 0 = 4*m - v*o + 10, 2*m + 3*m + 5*o + 30 = n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**7\/1260 - 23*m**4\/24 + 15*m**2. Let r(g) be the second derivative of y(g). Let w(h) = h**2. Give w(r(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 10:34 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342188800 to the nearest integer?\nAnswer: 18498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/499 + -3973\/9481. Which is greater: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -17 + -17 - (29 + -3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*k + 377*k + 169*k + 126*k to b + h*k and give h.\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*y + 9*y + y)*(-13*y**2 + 17*y**2 - 13*y**2) to the form w*y**2 + s + t*y + c*y**3 and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 12*n + 12.\nAnswer: 3*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let u(o) = -479*o**2. Determine u(a(r)).\nAnswer: -479*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 150\/(-9))\/((-2)\/9). Suppose 4*h - 5*d = -7 + z, -52 = -2*h - 2*d. Suppose j = 22 + h. Calculate the highest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35\/32 - -1\/32. Let u = h + -43\/24. Let p be -1 + 1 - (0 + 1). Which is bigger: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**3 - 509*i**2 + 5344*i + 17737404 = 0.\nAnswer: -159, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -616000 to the nearest 10000.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/2)*k**(-5\/4))\/(k**(-2\/31))**(-12\/7))**50 assuming k is positive.\nAnswer: k**(3025\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6053, -6288, -6679, -7226, -7929, -8788, -9803?\n\"Answer: -78*d**2 - d - 5974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 9)\/((-1)\/(-3)). Let i = -32.639 + 32.639. What is the nearest to -4 in d, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n**3 - 1. Let f be z(1). Suppose -3*j + f*j + 8 = 2*q, 0 = -2*q - 2*j. Factor -2\/7 - 2\/7*w**4 - 4\/7*w**3 + 4\/7*w**q + 2\/7*w**5 + 2\/7*w.\nAnswer: 2*(w - 1)**3*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 + 1 = 0. Solve 1 + i = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - 5*v**2 - v + 3. What is the smallest common multiple of 132 and f(-4)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*b - 4 + 1, 0 = -2*b - 6. Solve 4*w - 17 = 3*o, -1 = -2*w - u*o + 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/12 + 5*w**3\/6 - w**2 - 33*w - 2. Suppose x + 0*x = -8. Let s be q(x). Solve 2*a + 5*t = 23, s = -2*a + 3*t + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 10*h**2 + 25316 - 12656 + 4*h**4 - 5*h**2 - 12662 to d*h**2 + f + m*h**4 + z*h**3 + x*h and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 9) + 8 + 1 - 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9002783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.013? (a) 3 (b) -5140 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 700 and 4690.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -24. Find the common denominator of (d - 327\/(-126))*-9 and -3\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 0, -o - 3*y = o. Let g(b) = -b**3 - b**2 - b + 9. Let s be g(o). Suppose -12*h = -s*h - 108. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in -4, -0.3, 0.1, -7, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4 + 15346*c**3 - 2029430*c**2 + 67685142*c = 0. What is c?\nAnswer: 0, 67, 7539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2024.355447 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2812 + -26033457.\nAnswer: -26033456.7188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-1 - 2)\/3. Suppose -3 = -4*m - 5*t, -c*t - 3 = -9. Let f(y) = 7*y**2 + 3*y - 2. Let j be f(m). Calculate the highest common divisor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 7*d - 6. Let s be i(-8). Let a = 14 + s. Is 2 + 118 + a - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*t + 7 + 7, -5*p - 25 = 0. Let v(x) be the first derivative of 7 - 11*x**2 - t + 13 - 5*x - 4*x. Differentiate v(n) with respect to n.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 + 73. What is the smallest common multiple of 12 and 10\/l*150\/(-2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**2 - 8*v + 5. Let d(l) = 7*l**2 + 8*l - 6. Determine -4*d(h) - 5*f(h).\nAnswer: 2*h**2 + 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.5 + -19. Let r = 12 + -9. Let y = r - 0. Which is the second smallest value? (a) y (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 4. What is the lowest common multiple of f and (4 - (-2 - 0)) + -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504841 at most as big as 504989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -86307, -172778, -259249?\n\"Answer: -86471*t + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1559\/685?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*p - 1549 = -1547, n = 2*p + 4. Let q(j) = -2*j**2 + 11*j - 7. Let i(k) = -k**2 + 5*k - 3. What is n*q(s) - 5*i(s)?\nAnswer: s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5393018378 and 64.49.\nAnswer: -5393018313.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*l - 8*l = 25, 4*g = -3*l + 13. Suppose g*r + 61 = 505. What is the remainder when r is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219440030 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 3590 and 57.248.\nAnswer: 3647.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o - 9. Suppose 7 = 4*n - 5*t - 5, 5*n - 15 = 3*t. Is o at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25015957.\nAnswer: 25015957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 3. Let w(x) = 1. Suppose 3 = -j + 2. Let b(h) = j*z(h) - 2*w(h). Let s be b(-7). Solve m = s*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8663524 minutes in days?\nAnswer: 0.0019905225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x**2 + 132*x + 14. What is w(-13)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2)*(-196)\/24)\/((-7)\/((-126)\/(-6)))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 - 7*q**2 + 3*q - 10. Let b = 145 + -140. Let i be g(b). What is the highest common factor of 96 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/76*-59 - -3. What is the biggest value in t, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 180.67 and 0.2.\nAnswer: 36.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 2*a**2 + 0*a**2)*(3*a + 2*a - 6*a) + (2 - 2*a - 2)*(0*a**2 + 4*a**2 - 2*a**2).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6028003 divided by 4.\nAnswer: 6028003\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1212.268 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/21*(-6)\/15. Let h be (0 - 1)\/(-33 + 40). Sort -3, 3, h, b.\nAnswer: -3, b, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17, 1.9, -5?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(-24)*s)\/s*s*s*s**(-7\/5))\/(((s**(1\/10)*s)\/s)\/(s**(3\/5)*s)) assuming s is positive.\nAnswer: s**(-209\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -903, -904, -905, -906, -907, -908?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 0)*(-3*b - b + b + (-3 + 27 - 3)*(-3 - 2*b + 3) - 36 + 36 + 6*b) as t + k*b and give k.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, k: 2, b: 4}. What is prob of picking 3 c?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182 * -0.4.\nAnswer: 72.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let j(l) = 39 - 3*l**2 - 2*l**2 + 77 + 92 - 65. Give p(j(d)).\nAnswer: -5*d**2 + 143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*n + 108 + 32, 0 = -3*c + 5*n + 202. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, p: 2, e: 1, j: 6, c: 2}. Give prob of picking 1 c, 1 l, and 1 e.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-2) + -4 + (-21)\/(-6). Let f be a\/34 - 72\/(-34). Let q(g) = 18*g**2 - g - 4. What are the prime factors of q(f)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 29. Let l be o(13). Solve 8*m + 3 = 3*m - 2*y, 0 = -3*m + l*y + 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6 + -2 + (-160)\/(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15000, -15531, -16062, -16593?\n\"Answer: -531*m - 14469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from zzlzzzlzzlzzzzll?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/2*-3*32\/72. Let o(b) = b**2 + 10*b - 18. Let f be o(n). Solve 8*k - f*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187 - 2429\/13. Suppose -5*s - 5*p - 15 = -3*s, s - 2*p = 6. Let o be s + -2 + (-30)\/(-16). What is the second smallest value in o, -1\/5, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4885 - -4877. Which is bigger: 8 or x?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12 + (5 - 9) + 6. Sort y, 1, 5.\nAnswer: 1, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 93a7a03 - 1?\nAnswer: 93a7a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b1548 (base 12) to base 16.\nAnswer: -384c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106632936 by 162.\nAnswer: -658228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.340281 and 37521709?\nAnswer: 37521708.659719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1202 - -1162. Put 0.3, v, -0.03 in ascending order.\nAnswer: v, -0.03, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -7. Suppose -a*n = -0*n - 24. What is the units digit of 375\/n + (-9)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2. Let u(x) be the second derivative of 13*x**5\/30 - 65*x**2\/2 + 67*x. Let i(g) be the first derivative of u(g). Give d(i(p)).\nAnswer: -1352*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -3, 17975, 6, 4, 5.\nAnswer: -44, -3, 4, 5, 6, 17975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.70917 + -0.29083. Let s = 1.8 + -2. What is the fourth biggest value in s, 0.4, v, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6140 - 4094. Calculate the greatest common factor of r and 462.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6185165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 33 and 152340202764.\nAnswer: 152340202797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*d = -24, -5*d + 0 + 8 = 3*x. What is the remainder when 1 + (-3)\/(6\/(-38)) is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/14*48\/(-40).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -691159 + 5?\nAnswer: -691154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55083, 110166, 165249, 220332, 275415, 330498?\nAnswer: 385581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -21, 0.2128, -761 in decreasing order.\nAnswer: 0.2128, -1\/2, -21, -761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, 8, 10, -2\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17572.\nAnswer: 2, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 22*k + 163. What is the units digit of a(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -31 + 15 + (0 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699491?\nAnswer: 13, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1164 and 18915.\nAnswer: 75660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*h**3*k + 3478898*b**3*k + 40*b**2*h**3*k + 283*b**2*h**3 - 2*b**2*h*k - 3*h**2*k - 1 wrt b.\nAnswer: -6*h**3*k + 20873388*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38357855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/((-9)\/(-66)) + 0 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 69 - 37. Suppose 7*k + 902 = t*k + 5*p, -k + 906 = p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 17*s - 54 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202311111 (base 4) to base 10.\nAnswer: -404821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1746, -3, -813, 2 in increasing order.\nAnswer: -1746, -813, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -410*x - 1. Let a(l) = 104*l. What is a(j(s))?\nAnswer: -42640*s - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -3*b**4\/2 - 13*b**3\/6 - 7*b**2. Suppose 0 = -5*r + 5, -3*r + 4 - 7 = k. Is y(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1284*k + 2126*k - 2321*k)*(15*k + 37 + 4*k - 21*k) as h*k + v*k**2 + g and give v.\nAnswer: -2178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 79083\/2389 or 32?\nAnswer: 79083\/2389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (149 - 11) + -115 - 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 0 + 0*o + 1\/105*o**7 + 0*o**6 - 3*o**2 - 1\/6*o**4 + 0*o**5 + 0*o**3. What is the second derivative of n(d) wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*4\/(-24)*(-4762)\/2. Which is bigger: r or -2382?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, -9837, 1\/2.\nAnswer: -9837, -2\/27, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54233697121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + -6 + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 59115.\nAnswer: 2\/59115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 683\/10 + -68. Let r = t - 1\/10. Let k = 5 + -3. Which is bigger: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.399 - -0.299. Which is the nearest to 0.2? (a) -20 (b) o (c) -0.4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from monocjf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 5. Suppose -14 + 4 = -k + 5*c, 4*k - 3*c = 23. Let r = j + k. Calculate the greatest common factor of 24 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 - -13 - (0 - 769) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-2) - (-8 + (-15 - -17))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7087263 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 4*c = -32, 3*v + 3*c = 12 + 3 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -10. Differentiate k - 18 - 16 - 22*m with respect to m.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112132 (base 6) in base 10?\nAnswer: 9560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249, -901, -1995, -3531, -5509, -7929?\nAnswer: -10791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 7*o**2 + o + 10. Let i be s(-7). Suppose -24 = -i*b + 12. Let d = b - 8. Solve d*u + 1 + 7 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7)*(-56)\/(-60)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3182160, -1.63 in decreasing order.\nAnswer: 5, -1.63, -3182160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 416818 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2024 (base 10) to base 14.\nAnswer: a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n**2 - 9*n**2 - 5*n + n to y + x*n + u*n**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-8844)\/2814)\/(1\/(-7))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - r**4 + 7 + (0*r + 0*r - 2*r**4)*(-1 - 2 + 4) + 2 - 2*r**4 - 2 as d*r**2 + g*r + i*r**3 + j + p*r**4 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3672, 2, -2 in increasing order.\nAnswer: -3672, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.03, -7, -5\/7, -3, -0.1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 3*y + 5*y)*(-2 - 3 + 3)*(17 - 12 + 19)*(3*y**2 - 4*y**2 - y**2)*(0 - 1 + 0) in the form a*y**3 + v + t*y**2 + x*y and give a.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(136)*4 + sqrt(136))\/(sqrt(72)*3).\nAnswer: 5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/6585 and -61\/110.\nAnswer: 144870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11573\/160 - -17\/32. Let o = 72 + n. Let x = 137\/406 - 3\/58. Which is the closest to x? (a) 0.3 (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 17 = n + 8*l, -4*l + 4 = 4*n. What is the third biggest value in n, -1\/4, 0.04?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + 0.8. Let v = b - 0.9. Let s = -1.8 - v. What is the closest to 0.1 in 1\/5, s, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t - t)*(1 - 2*t + 3*t + 3*t).\nAnswer: -8*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -14*b + 15*b - 9*b + 7*b**3 - b**2 - 11*b. List the prime factors of j(6).\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 645746 and 474.\nAnswer: 1937238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76399\/80 - -955. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**4 + 0*d**4 - 2*d**4 + (2*d**2 - d + d)*(3*d**2 - d**2 - d**2) + 3*d + d**4 - 3*d.\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 41153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20574877 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-140)*(-5)\/6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45115 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**3 - 14*b**2 - 4*b - 4. Let y(g) be the first derivative of -1\/2*g**2 - 13 - 1\/4*g**4 - g**3 - g. Determine -3*h(d) + 14*y(d).\nAnswer: -2*d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 10*h - 31. What is the tens digit of t(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2582, -10334, -23248, -41324, -64562, -92962?\nAnswer: -126524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -15. Let o = v - -17. What is the second smallest value in 1\/3, o, -3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20784, -40700, -60616?\nAnswer: -80532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 x when three letters picked without replacement from {a: 5, d: 1, x: 4, z: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 23364, 59 in increasing order.\nAnswer: -12, 59, 23364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24920 and 402.\nAnswer: 10017840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 194*l**2 - 5*l + 8. Let i(f) = -2*f**3 + 386*f**2 - 10*f + 14. Calculate 4*i(c) - 7*k(c).\nAnswer: -c**3 + 186*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11936?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**3 + v**2 + 10*v + 8 = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 54*s. Let y(i) = i**2. Give v(y(r)).\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345240 divided by -86310.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1970880.\nAnswer: 2, 3, 5, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.7 - -6. Let r = 0.8 - o. Let v = -0.9 + r. What is the second biggest value in 4\/3, v, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8 = -4*s - 3, -8 = -s + b. Suppose -s*q + 3 + 16 = 4*x, -5*q = -4*x - 51. Calculate the remainder when 19 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 10) to base 8\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**4 - 4824583*r**2*z + 2*r*z - 1018749*r + 4*z wrt r?\nAnswer: 12*r**2 - 9649166*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.5, 0, -0.11, 4\/3, -1\/28, 1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00705194 to four decimal places.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 85*h**2 - 394*h + 480.\nAnswer: -(h - 1)*(h + 6)*(h + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 16*z**3 - 12*z**2 + 5*z - 28. Let o(u) = -19*u**3 + 14*u**2 - 6*u + 27. Give 6*m(j) + 5*o(j).\nAnswer: j**3 - 2*j**2 - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - d. Let q(n) be the second derivative of -n**5\/20 + n**4\/12 + n**3\/3 + 5*n**2 - 54*n. Let f be q(d). Solve 5*c + f = -5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 19. Suppose 2*v = h, n - 4*v - 17 = -4*n. Suppose 4*o - 6*o + 5*w - 11 = 0, 1 = n*o - 3*w. Calculate the least common multiple of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41567849559 - 2119.\nAnswer: -41567851678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -453 - 4178?\nAnswer: -4631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 294408, 588817, 883226?\n\"Answer: 294409*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*i = 312, -m - 4*m - 3*i = -313. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12508667\/8 + -1561522. Let i = -2068 + h. What is the common denominator of i and 6\/14 + (-607)\/28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7139 and 72116.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) 0 (c) 5\/10441\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*u + 38, u + 180 = 4*p + 1. What is the remainder when 217 is divided by p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = h + 3. Sort 2, -3, h, 3 in descending order.\nAnswer: 3, 2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -92, 0 in descending order.\nAnswer: 0, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 8*o - 3966 = -4046, -3*g - 8*g + 0*o = -o + 435 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204 + (-48 - -76 - 147)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 281 - -2a2?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -10384978\/17 not equal to -610880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Suppose -3*p = a - 19, -p - 1 = -3*a + 6. Suppose 0 = -p*g + d + 18. Solve -g*s = -5*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/10035 and 31\/805?\nAnswer: 1615635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-380)\/6*(-6)\/2. Let y = x - 64. What is the greatest common divisor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559646697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 147*u\/4 + 2673\/2.\nAnswer: (u - 81)*(u - 66)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*l - 8, 4*l + 16 = -0*l - 3*z. Let j = 3 + l. Suppose 0 = -5*w - 20, -w + 30 = j*b - 5*w. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 3:05 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 390647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -296, -630, -1192, -1988, -3024, -4306, -5840, -7632?\n\"Answer: -q**3 - 108*q**2 - 3*q - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -2\/11 (c) 0.34 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 + 10*h - 13*h - 3*h**3 as c*h + o*h**3 + g + n*h**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*24\/288*(-2)\/24*2.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 1. Let j(i) = 12*i**2 - 5*i + 6. Let y(w) = j(w) + 5*t(w). Let m(g) = -g. Let d(r) = -2*m(r) + y(r). Is 23 a factor of d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 126\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 + -3. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Suppose y*p = -k + 16, 4 = p - 0*p. Calculate the remainder when 30 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 16*i**2 + 16*i + 30. Let y be m(-14). Let o = -198 + y. Let j(z) = 2*z**2 - z + 2. Calculate j(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85 and 2165494?\nAnswer: 10827470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2548) + 2 + -5 + sqrt(2548) + 3)**2*-2.\nAnswer: -20384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 206951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 181989 bigger than 181987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -7*g**3\/6 - 3*g**2 + 54*g - 9. Calculate l(-10).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/2 + 2615*y**2\/3 + 252491*y\/2 - 112908.\nAnswer: (y + 291)**2*(9*y - 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 633*z**2 - 9599*z + 9599*z to the form u*z + t*z**2 + j and give t.\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 8 - 5 + 3*x**2.\nAnswer: 3*x**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/5 + 5256*t**3 - 2987898*t**2\/5 + 96433168*t\/5 - 645050016\/5 = 0. Calculate t.\nAnswer: -13253, 9, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 40 - 50 = 0. What is the remainder when 50 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12*p**2 + 285*p**2 - 2.\nAnswer: 273*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -13*r - 1. What is v(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 41 = v + 6, 5*w + 3*v = 69. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*y - 415, 6*w = -y + 3*w + 71. What is the greatest common divisor of 40 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5445 = 23725*u - 23846*u for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1212*w + 1177*w = -119735. What is the highest common divisor of 22 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-102)\/16)*(-45)\/(-60).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16598603\/5 less than 3319722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 123*r + 84*r - 231*r)*(5 - 5 + 10).\nAnswer: -2700*r + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*o**4 + 200*o**3 - 873*o**2 + 1534*o - 845.\nAnswer: -(o - 5)*(o - 1)*(4*o - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 5*q - 71 = 0, -y + 3*y - q + 28 - 13 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 466?\nAnswer: 20970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -60, -81, -138, -249, -432, -705?\n\"Answer: -3*p**3 - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4*d = 20, -3*d = 5*k + 37 - 22 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 41?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -53285.063 to the nearest one thousand.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 12*y = -10*y - 13, 0 = -5*f - y - 26. Let m(c) = -c**3 - 4*c**2 + 5*c - 5. What is m(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2. Let n = r - 0.4. Suppose 19*p + 81 - 1141 = -193*p. Which is the third smallest value? (a) p (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10*o - 5*o + 82 = 0, p - 30 = 3*o. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + c?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + -12. Suppose -28*s + 529 + 70 = -521. Calculate the least common multiple of l and s.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/3))**31*((p**(1\/3)*p)\/p*p)**(1\/44) assuming p is positive.\nAnswer: p**(455\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.4, 12.05, -1, 159\/32?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/21 - 48\/(-84).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032954 rounded to 6 dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 298306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*q - 4*r - 41, 8*r = -24 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8624824 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, c: 4}. Give prob of picking 2 q and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504 divided by 18.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/28251 and 3\/128699.\nAnswer: 1158291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2284980610079 - -2.\nAnswer: -2284980610077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7263 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 1 + 1)*(4*r - 44*r - 11*r)*(-36*r + 24*r - 31*r) to m*r**2 + k*r + w + q*r**3 and give q.\nAnswer: 2193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59597287\/18 - -3312763. Let f = m + -16160\/9. Calculate the common denominator of f and -1\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (825\/(-135))\/(17\/(1224\/(-296)) - -4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i**3 + 2*i**2 - 6*i + 4. Let d(q) = -q**3 - q**2 + q - 1. What is -4*d(o) - f(o)?\nAnswer: 15*o**3 + 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 15 = 6*l, 0 = -3*t + 4*l - 189. What is the tens digit of 0*(-3)\/(-12) + (1 - t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 56211*c**2. Let y(o) = 2125*o**2. What is y(j(s))?\nAnswer: 6714312607125*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 17 = -2*l, -3*w - 32935*l = -32930*l + 42 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 15*y = -4*u + 693, -4*u + 681 = 5*y. List the prime factors of u.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 1. Let j(p) = 9*p**2 + 34. Let t(f) = -j(f) - 3*l(f). Find the first derivative of t(u) wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 = 6*q, -4*q + 213 = 3*m. Suppose 0*k + m = 3*k. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 4 = a, 2 = 63791*n - 63787*n - a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 = -79*q + 25 - 44. Sort -14, q, 0, -1, 4 in decreasing order.\nAnswer: 4, 0, -1, q, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1449 - -1448.8. What is the third smallest value in 16, 5, r, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 141 + -139. Suppose 4*j - 1756 = -n*v + 196, 4*v + 4*j = 3916. What are the prime factors of v?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 231\/(-44) + 2\/8. What is the hundreds digit of (s*1\/(-2))\/((-5)\/(-410))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 14*s - 323. Calculate the remainder when 638 is divided by f(30).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 18\/(-15)*-5. Suppose 26 = -3*v + 5*v. Solve -3*l + 1 - v = -3*g, g + 6 = -h*l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 6*t**2 - t + 12. Let s be d(5). Suppose 5*r - s - 79 = -3*c, 0 = -3*r - 5*c + 73. Solve 2*f - 3*p = 5*f - r, 3*p = 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -10. Suppose 4*w + 2*m = -m - 1, -w + 5*m + 17 = t. Suppose -5*s + 2*n = -18, -3*s + 8 = -6*n + w*n. Solve -a - a - s = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1\/2))\/d)\/(d\/((d**(-1\/10)\/d)\/d)))\/(((d\/(d**(2\/3)\/d))\/d*d)\/(d\/d**(1\/11)*d)) assuming d is positive.\nAnswer: d**(-499\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -292 - -291. Let y = -12 + 15. Let z be 2 + -4 + y + 2. Put 0, w, z in decreasing order.\nAnswer: z, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 c, and 2 q when four letters picked without replacement from {c: 6, e: 4, q: 3, d: 1}?\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**4 + 168*m**3\/5 - 176*m**2\/5 - 2976*m\/5 - 1152\/5 = 0.\nAnswer: -6, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 14*d + 24. Determine g(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18061200*a**3 - 1388107*a**2 - 3*a?\nAnswer: 108367200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 239226.9 microseconds?\nAnswer: 0.003987115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d**5 + 2468*d**4 + 34336*d**3 + 157672*d**2 + 134568*d + 8820 = 0 for d.\nAnswer: -21, -15, -7, -1, -1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: What is -110010011100110101 (base 2) in base 8?\nAnswer: -623465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Solve -2*b - 6 = 2*c, -5 = -j*c - 25 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*n**2 + 40*n**2 - 86*n**2)*(4*n**2 + 0*n + 0*n - n).\nAnswer: -4*n**4 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -291*v - 297*v + 1156*v - 274*v - 291*v. Let o(y) = 799*y + 1. What is o(k(x))?\nAnswer: 2397*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 12*s. Let m(v) = 4*v**2 - 25*v. Let l(a) = -3*m(a) + 7*q(a). What is the remainder when 33 is divided by l(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43524 and 27602028.\nAnswer: 1076479092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*g - 2\/7*g**4 + 4\/7*g**2 + 0*g**3 - 2\/7 = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 108*s + 612. What is m(-5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 845.8762 kilometers in centimeters?\nAnswer: 84587620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 4*r - 2*r)*((-1 + 3 - 4)*(r + r - 3*r) + 10 - 10 + 8*r + (2 - 4 + 4)*(3*r + 0*r - 5*r) + 2 - 112*r + 100*r + 5) as o*r**2 + p + x*r and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4230727 is divided by 18002?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15508 - 15496. Solve c*a + 1 = 73 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 40*o**2 - 143*o + 44. Let z be h(-36). Solve 6*y + 2*y - z = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1582 + 22131\/14. Calculate the common denominator of i and 37\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Suppose 0*d + f*d - 12 = 0, -5*u + 4*d = -29. Let n = u + -1. What is the lowest common multiple of n and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.23 times -63\nAnswer: -329.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l + 3337 + 1712. Solve 0 = -298*w + l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -1\/60*l**6 + 1\/336*l**8 - 1\/30*l**5 + 1\/210*l**7 + 1\/6*l**3 + 0 + 0*l + l**2 + 1\/24*l**4. Factor v(k).\nAnswer: (k - 1)**2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 0*f - 7 - 7*f**2 - 3*f + 2. Let k(y) be the third derivative of y**5\/10 + y**4\/8 + 2*y**3\/3 - 13*y**2. Determine -5*k(j) - 4*o(j).\nAnswer: -2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -199133.6786 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -62922*l + 4782076. What is z(76)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 5*r + 4*b, 2*r + 2*b = 7*b + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*l + 66*l - 75 - 188 = 0. Sort l, 0, -16, -5, -3 in increasing order.\nAnswer: -16, -5, -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -414255*o + 72334?\nAnswer: -414255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*g, 2*g = 25*t - 24*t + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3 - 40320*v**2 + 101646708*v - 203132168 = 0.\nAnswer: 2, 5039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -3 + 25*m - 1\/8*m**4 - 57\/4*m**2 - 5*m**3. Factor q(k).\nAnswer: -3*(k + 1)*(k + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 0 (c) 0.351\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*y - 226, -4*b - 24 = -3*y - 245. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/12 + 4*n**3\/3 - 11*n**2\/2 + 17*n. Let o be m(5). Let p be o - 1*(0 - 1). Solve 0 = -p*g + 7 + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13080.67496 rounded to the nearest one hundred?\nAnswer: -13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 33*i**2 + 34*i + 87. Let p = -90 + 94. What is the remainder when o(34) is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**3 + 3*q**2 - 7*q. Let a(p) = p - 2. Let t = -7 + 1. Let v be a(t). Let o be w(v). What is o rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 1. Let r be i(8). Suppose d = 2*g - r, 3*d - 4*d = 3. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3055 divided by 4986.\nAnswer: -3055\/4986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, m: 4, a: 4}. Give prob of picking 1 a and 1 x.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + f, -2*i - 2*f = -i - 7. Suppose -1028 = -n - 1026. What is the remainder when i\/2 + (-55)\/(-10) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31001333000 (base 4) to base 9\nAnswer: 6375775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 695 and 4477190.\nAnswer: 4477190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -9*b - 44. Let d(r) = -3*r - 15. Let l = -31 + 25. Suppose -17 = -3*w + 34. Let o(s) = l*a(s) + w*d(s). Find the first derivative of o(i) wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(19)) + (sqrt(152)\/(sqrt(48)\/sqrt(6)))**2.\nAnswer: -4*sqrt(19) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 + 4*z**4 + z**5 + (2*z**2 + 3 - 3)*(z**3 + 2*z**3 - z**3) - z**5 + 0*z**3 + 0*z**3 + 0*z**5 + 0*z**5 + z**5 + 6*z**5 + 3*z**5 - 4*z**5.\nAnswer: 10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooooooxooxxxo.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 184*w + 180.\nAnswer: 4*(w - 45)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5477 - -0.4523. Let z = 3.2 + -0.2. Sort -8, z, l.\nAnswer: -8, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2108*j**3 + 204*j**2 - 13*j + 32. Let h be m(6). Round h to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from huhducuccpugupuhhhgh.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 7*y**4\/4 - y**2 - 47*y + 53. What is the first derivative of s(c) wrt c?\nAnswer: 21*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27972 greater than or equal to -27972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -6 - 14. Suppose 5*l - r - 11 = 0. Suppose l*t - 5*k - 5 = 0, 5*t + 3*k - 23 = 4*k. Solve -t = 2*i - i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12336 and 258384.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 116043015 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1764*z + 44. Let r be w(2). Suppose -3*p = -m + 891, -4*m + r = 30*p - 34*p. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0435671201 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 11?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -249 (b) 2 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9862 is divided by 495.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*p + 132*p + 138*p + 2 + 1 - 540*p + 142*p.\nAnswer: 12*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85*((-1980)\/7700)\/((-6)\/14)*1.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = 9*v - 3*v - 5575. What is the greatest common factor of v and 549?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 240*b**2 + 1008*b + 1024.\nAnswer: -4*(b - 64)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 978 = 6*d + 192. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2 + 1134\/(-2380))\/((-117)\/(-195))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*p + 1. Suppose 5*c - 4*a = -2*a + 83, p*a - 7 = -c. What is the units digit of ((-22)\/5)\/((-6)\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, 3\/5, -84\/19, 2 in decreasing order.\nAnswer: 5, 2, 3\/5, -0.3, -84\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*n**5 + 0 + 0*n**2 + 0*n + 1\/2*n**3 - 3\/4*n**4.\nAnswer: n**3*(n - 2)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154319.\nAnswer: 11, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(462)\/(5*sqrt(99)))\/(-2*sqrt(486) - sqrt(864)*-1).\nAnswer: -sqrt(7)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 21*g = 0. Suppose g = 4*p, 0*o + o - 4*p = 124. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-50))\/(22\/55).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47 + c4?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -6639.74731762.\nAnswer: -6639.44731762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.06 - -10.06. Which is the fourth biggest value? (a) 1 (b) -4 (c) n (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**3 - 39586*i**2 - 26388*i.\nAnswer: -2*i*(i + 6597)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 8. Let l be o(7). Let c = -1 - 0. Let z be 2 + -2 - 0\/c. Sort 2, z, l in increasing order.\nAnswer: l, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, -9, -26, -45, -66, -89?\n\"Answer: -x**2 - 12*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-17)\/(-34))\/(1\/5820)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/2 + 1\/(-2). Let q = t + -2. Calculate the highest common factor of 15 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 22\/12) + 0. Let h = -439\/390 - 21\/26. Let n = i - h. Which is the second smallest value? (a) n (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1238*t + 14918 = 2538 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 963, 948, 917, 864, 783?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-5))**(-22)\/(y**24*y**(-3\/10)) assuming y is positive.\nAnswer: y**(-1557\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/49))**22*w*w\/w**(-1)*w**(-2\/11)*(((w*w*w**(-5\/3))\/w)\/w)\/w**(-1\/3) assuming w is positive.\nAnswer: w**(3853\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 o, and 1 s when four letters picked without replacement from ososjsos?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + q**3 - q**2 + 3*q**3.\nAnswer: 6*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*w**5 - 61407*w**4 + 18*w**2 + 298266.\nAnswer: -300*w**2 - 1473768*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (365\/219)\/((-1)\/(-1317)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfc when three letters picked without replacement from xczcf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -642, -1168, -1550, -1788, -1882?\nAnswer: -1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-42)\/(-32) + (-1 - 1) and -3 - ((-291)\/(-30) + -2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 6:19 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (235*x - 33*x + 12*x)*(-2 + 2 - 2).\nAnswer: -428*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1*116\/8*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -5, -2, 150, 2\/9 in descending order.\nAnswer: 150, 2\/9, 0.09, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - d - 9, a + d + 4 - 7 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 814359059 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 3*o + 15 = -4*x - 5, -20 = 5*o + 4*x. Suppose 4*l - 20800000 = -o*l. Round l to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 1. Suppose -4*y = -4*r - 0*r + 36, -4*y - 12 = 2*r. Let h(a) = -3*a + 7. Determine y*z(w) - h(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*t + 214 = 192, 2*t + 10 = 0. Let a(j) = 20*j**3 - 2*j**2 + 2*j - 2. Let o(p) = p**2 - p + 1. Give n*a(b) - 2*o(b).\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049332?\nAnswer: 2, 19, 13807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r + 4 = 38*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8479?\nAnswer: 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249915?\nAnswer: 3, 5, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 238 + -1?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43116.31 micrograms to nanograms.\nAnswer: 43116310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -71620689 divided by 148283\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 23389*v - 32861544. Calculate g(1405).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 6:43 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11782 + -11758. Calculate the least common multiple of 33\/12 - (-1)\/4 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19\/22 - -4\/11. Let t = 222 - 225. Let s = -3 - -1. Which is the second smallest value? (a) l (b) t (c) s (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16*(0 - -1)\/1. Suppose -4*i - z = -0*i, -5*f = -4*i - 36. Suppose f*k = 5*y - 27, -2*y - 1 = 4*k + 5. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.750161 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2955*a**2. Let g(j) = -4*j + 72754186 - 72754186. Calculate t(g(o)).\nAnswer: 47280*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v - 341 = -29*v + 25*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 669500 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3450 or -3452?\nAnswer: -3452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -36.6627.\nAnswer: -73.3254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.374532 kilometers in nanometers?\nAnswer: 7374532000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124 + 146. Let q(k) = -34*k - 471. Let s be q(-14). Solve -3*o = -s*y + n, -2*y + 3*o = 2*o - 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232528090?\nAnswer: 2, 5, 29, 43, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.800636cm in millimeters?\nAnswer: 48.00636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -98*n - 178. What is x(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3096\/17, -4\/589 in decreasing order.\nAnswer: 3096\/17, 5, -4\/589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4128 divided by -17\nAnswer: 4128\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8655027 milliseconds in minutes?\nAnswer: 0.000014425045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*i + 136*i + 2 - 311*i - 2.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) + sqrt(66)\/sqrt(6) - sqrt(11) - sqrt(11)) - sqrt(11) - (sqrt(77)\/(-1*sqrt(7)))**2.\nAnswer: -11 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 0*l + 0*l - l**2. Suppose -3*u = -7*u + 12. Let h(x) = x - 7. Let o(d) = -3. Let j(s) = u*h(s) - 7*o(s). Determine v(j(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + s + 8 = 0, 0*s = 4*m - s - 6. Let b be 0 + m - (-8 - 1). Determine f, given that 12 - b + f**2 + 3 - 4*f = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2. Let t(u) = -u**2 + 2*u + 1. Let d(f) = -107*f**2 - 8*f - 5. Let w(x) = -d(x) - 4*t(x). Give o(w(h)).\nAnswer: -12321*h**4 - 222*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56098 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54\/(-12)*4\/(-6) + 1. Let x be 5\/3 + -38*s\/(-24). Solve 4*l + 0 = x, -2*u - l = -6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 251404000 to the nearest one million.\nAnswer: 251000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + i - 1. Let s(y) = 29*y**2 + 2*y - 2. Let v(b) = 4*q(b) - 2*s(b). Let x(p) = -2*p. What is x(v(h))?\nAnswer: 124*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + 21022?\nAnswer: 21222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 5, 432, 0.548, 3\/2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -385082, -769327, -1153572, -1537817, -1922062, -2306307?\nAnswer: -2690552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21668 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 u, and 2 s when four letters picked without replacement from uvuuuuususuuuusuvss.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s + 9. Let a(o) = -3*o - 7. Let k(j) = 6*a(j) + 4*m(j). Let v(u) be the second derivative of u**3\/2 + 8*u**2 + 6*u. Let q be v(-8). What is k(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7497)\/98*4\/(-17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*o + 71 + 185 = 0. Sort 5, 4, o, 312 in increasing order.\nAnswer: o, 4, 5, 312","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.4327?\nAnswer: -1.2981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(16\/40*5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 26.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1362460.\nAnswer: 2, 5, 11, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6455.4 - -6455. What is the nearest to -132 in r, 0.3, 0.5, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -22 - (2\/(-2) + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 - -140. Suppose 7*f = -12*f + 323. What is the remainder when c is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159 - 158.883. Let d = t + -0.017. Sort 14, d, 0.\nAnswer: 0, d, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*(h*h**(-1\/17))\/h))**(2\/9)*((h\/(h**21*h))\/h)**2 assuming h is positive.\nAnswer: h**(-6730\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4256 and 4788.\nAnswer: 38304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 14) + -6 + -8 + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 443257788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251645 is divided by 233.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 49 = 4*o. What is the least common multiple of 1 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 11*z + 14. Let d be s(4). Suppose 4*j + d*w - 3780 = -w, j - 945 = -w. Suppose -14*y = -j + 119. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15345 by 11.\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1322 divided by -2.\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 46*g**2 + 46*g - 49. Let x be k(-47). Which is the nearest to 1? (a) -0.81 (b) 0 (c) -3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 1 + z**2 + 2*z + z**2)*(-z**3 + 3*z**3 + 2*z**3).\nAnswer: 12*z**5 + 8*z**4 + 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -z - 4*w, -3*z + 3*w = -0*z - 132. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*t + 127*t - 240174 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.17 or -0.157?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*sqrt(228)*-1 - sqrt(228))\/(sqrt(12) + sqrt(1200) + (sqrt(1200)*-2 - sqrt(1200)) + sqrt(12)) + 0.\nAnswer: -sqrt(19)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2080*s - 4698*s - 2901*s + 50475 = 243640 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) - 288\/(-45). Suppose j + h = 6, 3*j - u*j - h = -18. Suppose 3*i = j*i - 72. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18811 = 2*d - 5131. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 2:07 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -51058157 less than -4?\nAnswer: 51058153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*i**3 + 8*i - 36 + 0*i**3 + 31*i**3 + 19*i - 28*i wrt i.\nAnswer: 252*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57690 and 270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 3*y + 0*y)*(7*y - 15*y - 12*y)*(9*y + 18*y - 14*y)*(-y + 0 + 0) in the form l*y + n + u*y**2 + j*y**4 + h*y**3 and give j.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - -9. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 4*x + 1. Let w be v(-2). Let f be (-4)\/(-30) - (-1677)\/585. Solve -w*m = -f*m - 5*b + 14, 0 = 4*b - 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1831*h + h**3 - 3501*h - 2703*h - 1740*h - 2491*h)*(-h + 0*h + 0*h) in the form r*h + c*h**4 + p*h**3 + j + w*h**2 and give w.\nAnswer: 8604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**1*c**(1\/3))\/(c**(-6\/11)\/c*c*c\/c**(-2\/21)*c*c) assuming c is positive.\nAnswer: c**(-512\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 (base 9) in base 8?\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.63 + 0.09. Let j = -40.74 - n. Let f = 40 + j. Which is the second smallest value? (a) 0.1 (b) f (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/17)*((a**9*a)\/a)\/a*a*(a*a**2)\/a*a*a**(-1) assuming a is positive.\nAnswer: a**(189\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6\/237457 - 29210571\/132975920. What is the common denominator of -89\/420 and m?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -18. Suppose 0 = -4*g - b*k + 6 + 4, 2*k = -g + 1. Find the second derivative of 2*h**g + 0*h + 3*h**3 + h - 3*h wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1141 (base 5) to base 15\nAnswer: -b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -2.4574895.\nAnswer: 6.4574895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 11.3. Let b = o - 0.3. Let q = 15 - 15.04. What is the third biggest value in 1, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 245.49\nAnswer: 248.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 991629380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 12:07 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/37 (b) 27 (c) -3\/5 (d) 1\/10 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, 2, 1, 8, 9 in ascending order.\nAnswer: -20, 1, 2, 5, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u - 32*u - 2*u**2 - 24*u + 10*u.\nAnswer: -2*u**2 - 39*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 6416?\nAnswer: 3208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3735 - -64.\nAnswer: -3671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/90*(0 - 2\/(-5)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 18793619 and 56380858\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 7. Let z = l + 3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 6 + 3. Solve -18 = 2*u - 4*x, 0*u + 3*u + 3*x = -z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1 = y - 1, 5*g = 0. Suppose -y*i + 101 = -11. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*j - 52 + 50 - 402*j.\nAnswer: 51*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6492011 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 19848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**3 + 3*x + 2. Let r be (1 - 6\/(-18))*21\/(-28). Calculate c(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12942\/2237 or -6?\nAnswer: -12942\/2237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29864707 by -283.\nAnswer: 105529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.661 - 0.33. Let h = 1.661 - z. Round h to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**3\/3 + 13*r**2\/2 + 22*r - 760. What is v(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) 1426 (c) -0.2 (d) -7 (e) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*n - 4089*n**2 + 552 + 4091*n**2 - 157*n.\nAnswer: 2*n**2 - n + 552","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 - 1010*l**3 - 24035*l**2 - 135520*l.\nAnswer: 5*l*(l - 224)*(l + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23980, 95937, 215874, 383791, 599688?\n\"Answer: 23990*z**2 - 13*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 26*n - 49. Let c(p) = 77*p - 148. Let r(h) = -2*c(h) + 7*u(h). Let k be r(2). Let x(f) = f - 2. What is x(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3689 + 848228. Let n be (39\/3 - -46200)*-9. Let m = n + i. Round m to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14102 is divided by 950?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 99 in 987, -20, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + -600144553?\nAnswer: -600144524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a - 4. Let b = -7 - -7. Let l be ((-2)\/(-8) - b)\/(8\/32). Let d(g) be the second derivative of -g**3\/6 - g**2\/2 - g. Give l*x(i) - 4*d(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 506 = 4*u - 378, -2*h + 454 = 2*u. Calculate the smallest common multiple of u and 10.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 275 = -5*o + 182, -o + i = -92. Let s = -250 - -281. Calculate the remainder when o is divided by s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 348463 - 0 - (-7 + 10). Let y = 67460 - v. What is y rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*j - 200, -i + 4*j + 318 = 295. Let a(x) = -5*x + 3. Let k be a(-6). Let m = 10 + k. What is the greatest common divisor of i and m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a year?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 563656 - 563658.499946. Let d = s - -2.5. What is d rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*x + 50 + 115 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 20*m**2 + 17*m - 48. What are the prime factors of v(-21)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)*a**(-4\/5) assuming a is positive.\nAnswer: a**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.496 + -11.296. What is the smallest value in 1\/3, 0.1, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from amaaaaaavaaaaaaa.\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 smaller than 2028102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 644, 663, 716, 821, 996, 1259, 1628?\n\"Answer: 3*o**3 - o**2 + o + 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niiscinvnccinciinvni. What is prob of picking 3 c?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -296 - -530. Suppose -2*f - q = 2*q - 234, 0 = 2*f + q - v. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1052 and 71265899?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 495, 952, 1401, 1842, 2275, 2700?\nAnswer: 3117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 135*u**2 + 370*u + 240.\nAnswer: 5*(u + 1)*(u + 2)*(u + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100101201201 - -111020?\nAnswer: 2100102012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a + 45. Let o be h(8). Let p(n) be the third derivative of 0*n + 1\/2*n**3 + 0 - 5\/8*n**4 + n**2 + 1\/5*n**o. Factor p(k).\nAnswer: 3*(k - 1)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/16 - (-51486)\/(-24). Let j = v + 8687\/4. Let t = -1561757\/504800 - -1\/15775. Find the common denominator of t and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1239, -1250, -1271, -1308, -1367?\nAnswer: -1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b13 (base 12) in base 2?\nAnswer: 110011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*p - 217 = 0, -p - 4*p + 313 = 3*x. Calculate the greatest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a decade in months?\nAnswer: 1368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {l: 7, b: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + (3\/(-12) - (-29964)\/48).\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 4629\/2392?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pww when three letters picked without replacement from {w: 3, v: 1, m: 3, p: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l**3 - 2*l**2 - 2*l + 5. Determine z(-2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122303.\nAnswer: 19, 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 - 0) - (765 - 775)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 5580?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -86, 108, 460?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 + 9 = -2*t, t = -2*i - 3. Let w be 1 + (-1822)\/6 + i\/(-3). Let j be (-1)\/4 - w\/12. Solve -4*o + j = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1283 - 1284. Is k > -223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 1473*d**3.\nAnswer: -1473*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -732*g**2 - 991*g?\nAnswer: -1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0.19. Let o = 3.61 - y. Let d = o - 3. Which is the nearest to -1? (a) 0.2 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 612940 or 612901?\nAnswer: 612901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 5 - 0 - (-180 - -248).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516173725?\nAnswer: 5, 20646949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25, 52, 103, 190, 325, 520, 787, 1138?\n\"Answer: 2*d**3 + 13*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 66 + 198.287\nAnswer: 264.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 4472*g + 26688.\nAnswer: 4*(g - 1112)*(g - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.072 and -324689.\nAnswer: -23377.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 136\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*((1*sqrt(684)*2 - sqrt(684)) + sqrt(684))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*y - 45*y - 80*y)*((y + 2 - 2)*(4*y - 3*y - 2*y) - y**2 + y - y - 2*y**2 - 2 + 2).\nAnswer: 364*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 252262 - -2?\nAnswer: 252264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8084048.\nAnswer: 2, 7, 89, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264218 is divided by 16424?\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/6)\/((-17248)\/(-11616))?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-1)\/(3\/(-3))*-5. Suppose u**y - 30*u - 27*u**2 - 12 - 6*u**4 + 37 + 7*u**2 + 30*u**3 = 0. Calculate u.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179010 divided by 89505.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 24670\nAnswer: -11\/12335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-12) - 18*(-26)\/(-351).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(931)*1)**2)*5.\nAnswer: 4660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 3*l - 4. Let i be t(-5). Suppose -222 + 42 = 6*h. Let o = h - -34. Calculate the highest common factor of i and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-66)\/(-3))\/((1 - 66\/60)*-4) and 260?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 0.4. Suppose 7*r = 3*i + 4*r - 3, 2*i + 23 = -3*r. Put i, 0.2, s in increasing order.\nAnswer: i, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/7)\/((-246)\/861)*-34.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 69461*i + 2917363. Determine d(-42).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24342 is divided by 4046.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 12*u + 8. Let v be h(4). What is the greatest common divisor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 1:49 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5641.\nAnswer: 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22842.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 15*o + 2*o**3 - 3*o**3 - 19*o - 3*o**2 + 9. Is 13 a factor of m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*sqrt(13)*2.\nAnswer: -4 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -964909 or -964910?\nAnswer: -964909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1. Let q(l) be the third derivative of -7*l**4\/12 + 2*l**3\/3 + 1868*l**2. Determine q(v) - 5*s(v).\nAnswer: -14*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o - 16. Let m be v(-9). Let u = m + 61. Solve 4*j = 2*l + 26, 2*l - 5*j + 10*j - 19 = u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.47 + 1.84. Let x = 32 - -61. Let b = x + -92.9. Which is bigger: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**4\/24 + q**3\/6 - 5*q**2. Let d = 18 - 6. Suppose 5*j - d = j. Calculate g(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -0.01 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153) + sqrt(153))**2 - (-3 + 3*sqrt(17)) - (2 + (sqrt(119)\/(sqrt(112)*-3))**2).\nAnswer: -3*sqrt(17) + 198415\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50351447, 50351446, 50351445?\nAnswer: 50351444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/6)*t)\/t**(2\/17))\/(((t*(t\/(t*t*(t**(-1\/4)\/t)\/t))\/t)\/t)\/t)**8 assuming t is positive.\nAnswer: t**(719\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, 11, 25, -22 in descending order.\nAnswer: 25, 11, -22, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 10*j**2 + 8*j - 6. Let n be v(-9). Sort 10, n, -3, 1 in decreasing order.\nAnswer: 10, n, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67 - 66 - 3724*m - 68 + 201 to w + l*m and give l.\nAnswer: -3724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*d + 54*d + 63 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11496248 and 8622186?\nAnswer: 34488744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9*t. Let o(c) = 8*c. Let a(h) = -h**2 + 3*h - 10. Let l be a(4). Let j = l - -9. Give j*z(p) - 6*o(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -1. Suppose -b = -5*g - o + 5, -5*o - 6 = 3*g. Let w(z) = z**3 - z. Does 10 divide w(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 43*p - 13. Give l(-4).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from {k: 1, c: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2835) + sqrt(2835)*-4)*-1*-5)\/(-3*(-6*sqrt(4455))\/sqrt(11)).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -41. Find the first derivative of l - l - 15*l**2 - k wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2))*4*6)**2.\nAnswer: 1152*sqrt(2) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39618?\nAnswer: 2, 3, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 1. Let v(w) = -w - 1. Let t(d) = -u(d) + v(d). Let t(p) = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 257. Suppose -5*l - 1559 = -4*d, 165 = d - 5*l - x. Suppose 0 = 3*c - 2*j - 387, j - d = -3*c - 0*j. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0738 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82802197\/129 - -641886. Let l = z + -36\/43. What is the common denominator of l and (-133705)\/(-28050) - (-17)\/(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 756, 2505, 5910, 11523, 19896?\nAnswer: 31581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5205600 to the nearest integer?\nAnswer: 2282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 + 981463.\nAnswer: 981463.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b\/b**(3\/8)))\/((b\/(b*(b**(1\/8)*b)\/b))\/b*b)*(b\/((b**(2\/5)\/b)\/b))\/b**8 assuming b is positive.\nAnswer: b**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1872dd + -1?\nAnswer: 1872dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -6. Let k = 11 + -6. Let j = k + -4.7. Which is the second smallest value? (a) j (b) f (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15095 divided by -5\nAnswer: -3019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1097*x - 1131 = 1044*x + 300 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 - 2*t - 1. Let g(h) = h**2 - 8*h - 53. Let z be g(12). What is the smallest common multiple of 2 + z*(-4)\/5 and c(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 371 = -3*l. What are the prime factors of l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 67*d**2 + 5*d + 2224. Let c(x) = 6*x**2. What is f(c(g))?\nAnswer: 804*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 98.708 in 2, -4, 1, -16, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 42 - 27. Let l = 17 - w. Factor 1 - 1\/3*t**l + 2\/3*t.\nAnswer: -(t - 3)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -4\/421, 0.4, 0?\nAnswer: -4\/421","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2) + -10 - 0. Let q(w) = -w. Let u(d) = -d. Let j(z) = c*u(z) + 4*q(z). Let x(k) = 5*k**2 - 7*k**2 + 3*k**2 - 3*k**2. Determine x(j(l)).\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 152, 394, 796, 1358, 2080?\n\"Answer: 80*r**2 + 2*r + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 666*b**4 - b**3\/3 - 1380*b**2 - 3342. Find the third derivative of h(c) wrt c.\nAnswer: 15984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x + 4*d = -6, -30 = -5*x + 3*d. Let i(r) = -2*r**2 + 52*r - 318. Let g be i(11). Calculate the greatest common divisor of x and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20267829 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*j, -4*p + 13*j + 24 = 17*j. Solve 0*b + p*b + 15 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 455 - 442. What is the remainder when 4\/(-22) + 1064\/44 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2392 and 92.\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(75) + -4 - ((sqrt(75) + 4*sqrt(75)*2 - sqrt(75))**2 + 5).\nAnswer: -4806 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + s**2 - 10*s**2 - 10 + 18)*(2 - 1 - 2).\nAnswer: 2*s**3 + 9*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skkskfvfkvsksvkvfkk. Give prob of picking 1 s and 1 f.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4, -35, -3, 1 in decreasing order.\nAnswer: 13, 4, 1, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -442, -447, -452, -457, -462?\n\"Answer: -5*t - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.02 times -8430578\nAnswer: -8599189.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -32*k + 64. Let q be m(-15). Let r be (q\/(-85))\/(2\/(-10)). What is the highest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - 11*d + 8. Let b(r) = -2*r**2 - 10*r + 25. Let p(w) = -6*w**2 - 30*w + 72. Let q(x) = 17*b(x) - 6*p(x). Determine -7*q(c) - 6*z(c).\nAnswer: -2*c**2 - 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8289 is divided by 571.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337, 337, 325, 295, 241, 157?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92599 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 20*h - 293 - 274 + 558. Suppose 0 = -2*p + 10, -5*a = -3*a - 5*p + 11. Does 12 divide x(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1453 - 1453 + 35*z)*(-3 + 11 + 1 + z).\nAnswer: 35*z**2 + 315*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-3\/2)\/c*c))\/(c**(-3\/5)\/c))\/(((c\/(c\/(c\/(c\/c**(3\/4)))))\/c*c)\/(c\/(c**6*c*c*c))))**(-37) assuming c is positive.\nAnswer: c**(3441\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3702350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k**2. Let g(r) = 3440*r**2 + 25. Give g(d(n)).\nAnswer: 168560*n**4 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by -78.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29974 + 35689. Does 45 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*r - 291*r + 21920 = -1687 for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 426032872 to the power of 1\/4, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 227278 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -465.38 - -328.3. Let v = q + 134. Let f = v - -0.08. Which is the nearest to -1\/4? (a) -3\/2 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5034)\/(-7551)*138\/(-12)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14490 by 1449.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1534784 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -85404 from -1581681.\nAnswer: -1496277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1\/2 + 0. Let r(f) = f - 6. Let j = -31 - -34. Let s be r(j). Sort w, 3, s in increasing order.\nAnswer: s, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/5*23\/(230\/(-18))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 22 (b) 4 (c) 5567\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from {a: 9, f: 1, u: 4}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 533.\nAnswer: 532.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 301434 or 1?\nAnswer: 301434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -64. Let t be -5 + v\/((-76)\/40). Which is the closest to 0? (a) t (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 295 = 2*v, 3*s - 210 = s + 2*v. Calculate the remainder when 300 is divided by s.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2633\/4 - 664. Let x = y + 375\/68. Are -1 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 160 + -90. Let s = l + -57. Calculate the remainder when s is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 divided by -21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7105*p**2 - 385*p. Let o(a) = 37*a**2 - 2*a. Determine -2*j(y) + 385*o(y).\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10653 and 325821?\nAnswer: 17268513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1224219 is divided by 56?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 59 - 31 = 0. What is the highest common factor of t and 312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (135\/10)\/(-18 - 795\/(-45))*2.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 21*y**2 - 23*y + 324. Let f be q(10). Put -1, -32, f, -3 in increasing order.\nAnswer: -32, f, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54450600 rounded to the nearest one million?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -1, 3, -9, 0, -3 in ascending order.\nAnswer: -18, -9, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2805 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**5\/15 + d**4\/4 + d**3 - 2*d**2. Let q(a) = -11*a**2 + 17*a + 17. Calculate -17*i(y) + 6*q(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + -3 - (-2*sqrt(119) + sqrt(119))\/sqrt(7))**2.\nAnswer: -12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3943 * 3.48\nAnswer: 13721.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 + -59. Suppose -3*v = 14 + 10. Let a = v + 14. Calculate the highest common factor of m and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*14*(-18)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 833248803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(52) + 4.\nAnswer: 6 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 620*z = -616*z + 36, -a = -9*z - 81 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (34 - 1) + -4 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 + -92. Let d = 2.81 - q. Let p = -0.84 + d. What is the second smallest value in p, -4, 3\/2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**3 - 6*l**5 - 6*l**3 + 4*l**5 + 2*l**5 - 4*l**5 + (0*l + 2*l - l)*(l**4 - 3*l**2 + 3*l**2) + 3*l**5 - 2*l**5 + l**5 + 2*l**5 + 3*l**3 - 3*l**3.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**4\/8 + 5*t**3\/6 - 2*t**2. Let l be 5\/(-5) + (0 - -3)\/(-3). Let s(b) = -b + 1. Determine l*s(k) + w(k).\nAnswer: -k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000665423411 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 14) + -9 - (-6 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 275\/495*12*(15\/(-2))\/5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(40) - sqrt(40))*6)\/((sqrt(968) + sqrt(968) + sqrt(968)*1 + sqrt(968) - sqrt(8)) + sqrt(8)) + -2 + sqrt(50)\/(sqrt(250)*2).\nAnswer: -2 - 19*sqrt(5)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9080, -9078, -9076, -9074, -9072, -9070?\nAnswer: -9068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -53 * 13103318\nAnswer: -694475854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6\/17 - -110\/119. Is 5 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 9*m**2 + 11*m + 6. What is k(-8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.3578 rounded to two dps?\nAnswer: -19.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 + -109. Solve 9*o = 4*o + t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 8. Suppose 0 = 4*n - w*n - 40. Solve -n = -2*t - 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 8\/(-4) - 0. Find the first derivative of i**2 + 2 + 0*i**2 + d + 2 wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46947832.\nAnswer: 2, 5868479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5222917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(20)*-5 - sqrt(5)) - (sqrt(2299) - ((sqrt(2299) + -2 + sqrt(2299))**2*5 + sqrt(2299))).\nAnswer: -4841*sqrt(19)\/11 + 46000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 10718 = 2*u + 10716, 4*u + c = -14. Suppose 0 = 3*y + 3 + 6. Let g(k) = k**3 + k**2 - 4*k + 1. Let x be g(y). Put -4, x, u in descending order.\nAnswer: u, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -142, -334, -592, -910?\n\"Answer: k**3 - 42*k**2 - k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3, -3*g = -k - 4 - 0. Let s(c) = 374*c - 144*c - 5 - 111*c - 120*c. Determine s(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*s = -6, -2*n + 3 = 4*s - 1. Suppose 4*w - 11 = b + 7, -n = 2*b. What is the second derivative of 2*v**4 - v - 2*v + 3*v**w - v wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(((-9486)\/204)\/((-3)\/(-2)))?\nAnswer: -12\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 2*t - 6. What is n(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -37964*m**3 + 7*m**2 - 7*m + 14. Let a(q) = -q**2 - 9*q - 10. Let o be a(-11). Let v = -26 - o. Let r be f(v). Round r to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 5:52 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 5:08 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1018477118 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45 + 50 - 23)*((-94 + 134 + 169)*(2*x - x - 4*x) + (-1 + 3 - 1)*(1 - 1 + x)) to the form k + g*x and give g.\nAnswer: -45072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2240421241311 + -3?\nAnswer: 2240421241303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*x + 39181, 3*v + x = -377 + 29759. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 + -1 - (-13839 + 20) and 2?\nAnswer: 13834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, e: 7}. What is prob of picking 1 s and 2 e?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39573*p**3*s**3 - 4*s**3 - 27*s**2 + 10 wrt p.\nAnswer: -118719*p**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 2*k**2 + (2 + 1 - 5)*(-4*k**2 + 0*k**2 + 3*k**2) - 188 - 57*k**2 - 5*k**2 + 195.\nAnswer: -58*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*d**2 + 88*d**2 + 110*d**2 - 124 + 124.\nAnswer: 153*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2808*b - 38039. Give s(14).\nAnswer: 1273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -1\/75*s**5 + 0*s**4 - 1\/300*s**6 + 2*s**2 + 0*s**3 + 0 + 0*s. Factor t(q).\nAnswer: -2*q**2*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -326 - 352. Let p = -226 + t. Solve 0 = -3*i + 4*w - 7*w + 12, p = -3*i - w + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*a + 89*a - 8*a - 4 - 23*a**2.\nAnswer: -23*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 at least 138262\/297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485396020 to the power of 1\/2, to the nearest integer?\nAnswer: 38541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/4*4\/(-14). Let a be (-36)\/(-20) + 2\/10. Suppose 22 = a*h - 4*w, 3 = 4*h - 6*h - w. Which is bigger: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -23 - (2 - 1 - (2 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*p**3 + 2536*a*p**2 + 14*a*p + 99*a + 211751210*p**3 wrt a.\nAnswer: p**3 + 2536*p**2 + 14*p + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 461 - 2863?\nAnswer: -2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33119 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 812 and 26680.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/676 + -2711\/4732. Which is the closest to 2? (a) -0.16 (b) -4\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**2 - m**2 + 6*m**2)*(147 + 122 - 214)*(2 - 1 - 3)*(-4 + 2 - 1)*(-5 + 2 + 1) to r*m + a*m**2 + f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/12920205 and 167\/120?\nAnswer: 103361640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 655057537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 71*r**2 - 127*r + 1916. Is u(147) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -25*l + 33. Let g(q) = 3*q - 4. Let f(v) = -51*g(v) - 6*j(v). Find the first derivative of f(t) wrt t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0*j - 20*j**2 + 5*j)*(-j + 0*j + 2*j)*(-3*j + 4*j + j).\nAnswer: -40*j**4 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5025 by 1005.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*a + 360 = 187*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 3. Let p(f) = -8450*f + 538. Let t(n) = 3*l(n) + p(n). Differentiate t(k) with respect to k.\nAnswer: -8453","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a**3 - 45*a**3 - 15*a**3.\nAnswer: -42*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in -0.29, -1\/2, 1\/3?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(162)*1)**2.\nAnswer: 90*sqrt(2) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucccczzccuzcuu. What is prob of sequence zz?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1\/20, -3098?\nAnswer: -3098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036674151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 7)*(-2*q + 4*q - 11*q).\nAnswer: -99*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l + 38. Let i be w(8). What is the greatest common factor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/9 + 1 + 5*(-266)\/(-1575).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3)\/(-6) - 6355\/2050.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -22*k**3 - 24*k**2 - 3*k + 39. Let p(m) = 18*m**3 + 26*m**2 + 3*m - 35. Determine -5*p(r) - 4*q(r).\nAnswer: -2*r**3 - 34*r**2 - 3*r + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56725\/11 - 5157. Let d = 59 - 89. Which is greater: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 1. Let q(k) = k + 1. Let i(z) = -6*q(z) - 5*s(z). Let n(h) = -2*h**2 + h + 1. Let j(l) = i(l) + n(l). Let c(m) = 50*m**2. Give j(c(f)).\nAnswer: -5000*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 97*x - 116*x. Solve 4*n = -2*c, x*n = n - 4*c - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 3*b**2 + 1. Let u be h(0). Let v = 305\/5763 - -2\/339. Is v greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1221 - -1224. Factor 2\/5*k + 2\/5*k**f + 0 + 4\/5*k**2.\nAnswer: 2*k*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -911643775, -1823287549, -2734931323, -3646575097, -4558218871?\nAnswer: -5469862645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.244 - 1.644. Which is the nearest to 5? (a) 3\/2 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 5, -7, 12, -4\/15, -36\/7 in decreasing order.\nAnswer: 12, 5, 4, -4\/15, -1, -36\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14646*m = -14847*m - 1809 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 5. What is x(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 26*h**2 + 4. Let w be z(-4). Suppose 3*o - 8*o = -w. Suppose -j = -13 - o. What is the remainder when j is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 146, 196, 236, 260, 262, 236?\n\"Answer: -i**3 + i**2 + 54*i + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.08 + 0.08. Let m = x - -2. Is 1 not equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 7 - (-24)\/(-30)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 263 = -4*h - 0*b, 0 = 5*h - 3*b - 327. Let l be (4\/(-6))\/(4\/6). Let r(d) = -5*d + 1. Let u be r(l). What is the highest common factor of u and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 74*d**2 + 78*d**2 - 151*d**2 - 1. Let v(j) = -2*j**2 + j + 1. Calculate -3*f(q) - 2*v(q).\nAnswer: q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 977239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*d - 49 = 0, q - 4*d - 5 = 16. Let k(j) = j**2 - 19*j + 39. Let o be k(q). Solve 10 = o*u, 27 = -5*n + 10*n + u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722229?\nAnswer: 3, 240743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5703012841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:20 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + r**2 - r - 2. Let q(j) = -3*j + 21. Let z be q(7). What is b(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44\/717 or 1?\nAnswer: 44\/717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 14434.26 months?\nAnswer: 1202.855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z + 2 + 6 - 8.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-1))\/((-3)\/15). Suppose 4*o - 4*t = 240, -5*t + 370 = 5*o + 110. Calculate the remainder when o is divided by (-2)\/(p\/((-95)\/(-2))).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 690387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16482\/151 or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/8)\/(2\/(-1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*f + 4 + 2*f + f - f + (-f - 2*f + 0*f)*(0 - 3 + 4) + 4*f + f - 6*f as r*f + x and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*-3 + sqrt(19) + 4 - (-3*sqrt(684))**2) + -1*sqrt(57)\/sqrt(3)*1*4)*3.\nAnswer: -18456 - 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -244 - -252. Solve -4*j - 4*b = x, j = 3*b + 2*b + 28 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - 0) + (-4 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3881039a - 1?\nAnswer: 38810399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.646 take away 3393509332?\nAnswer: -3393509336.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8472186\/25 or 338887?\nAnswer: 8472186\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 - 8\/((-64)\/56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 8. Suppose 0 = -2*p + 6, 0 = 4*u - 2*u + 5*p - 25. Find the third derivative of -2*x**2 - x**u + 0*x**m + x**2 wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9.75 (b) 2 (c) 3 (d) -1\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*o + 26, -7 = -5*q + o + 16. Suppose 2*v + 2 = -0*v. What is the third biggest value in -5, v, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290, 583, 876, 1169, 1462?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*v - 5*v - 57*v)*(3*v + 0*v + 0*v - 2)*(8 - 3 - 1)*(0 + 2 + 0).\nAnswer: -2160*v**2 + 1440*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13, -4, 2121 in decreasing order.\nAnswer: 2121, 13, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33121, -33115, -33105, -33091?\n\"Answer: 2*p**2 - 33123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 18. Let w be z(5). Let l be (-1244)\/26 + (8\/w)\/4. Let n = 52 + l. Calculate the greatest common factor of 32 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wllv when four letters picked without replacement from {v: 2, w: 10, l: 3}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 7*w - 6. Let b(h) be the first derivative of h**3 + 21 + w*h**3 - 3*h**3 - 10*h - 2*h**5. What is the derivative of b(a) wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 - 7 = 0. What is the remainder when 15 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149912317 to the nearest integer?\nAnswer: 12244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -221343002 (base 5) in base 13?\nAnswer: -27a53a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 10*u - 16. Let r be z(8). Suppose r*v - v = -12. Calculate the highest common factor of 96 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 4:53 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 1\/50, -2\/27, 2, 2\/11?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/2*(-9)\/6. Let s = -12 + m. What is the third derivative of -6*t - 2*t**6 + s*t - t**2 wrt t?\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-22))\/((-280)\/308).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -9 + 5 - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/(-3)*(-52836)\/(-194990))\/((4\/10)\/(-2)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 + 95 + -3 + 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246 and 384.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (416\/728)\/(268\/266 + -1) and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p + p - 7*p + 0*p. Let y(b) = -3*b - 5*b - 4*b + 21*b. Give y(g(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**3\/6 - 9*v**2\/2 + 5*v - 5. Let y(x) be the first derivative of s(x). Determine y(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 6\/127 (c) 12.7 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 621, 1230, 1827, 2406, 2961?\n\"Answer: -m**3 + 616*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, f: 1, g: 5}. Give prob of picking 3 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllll. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.226208415 - -0.2262. What is l rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-225)*(1794\/(-92))\/13\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 - 4*l + 69 - 9*l.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 12:01 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 2*t + 3*t)*(31*t - 29*t + 0 + 3) + (-t - t + 4*t)*(2*t + 0 + 0) + 4 - 4 + t**2.\nAnswer: 3*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -32 (b) -0.4 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u + 17 = 0. Suppose -129 + u = 4*t. What is the units digit of 4\/(-14) - 92\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -147 + 147 + 180*f in the form x + n*f and give n.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(7 - 4) + 3. Let x be 7\/v - 4\/(-6). Let f = 10 - x. Solve -l - f = q, -q + 4*q - 3 = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -470 + 159 + 4*r**3 + r**2 - 181*r + 160 + 151 in the form a*r**3 + m*r + j + f*r**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 - -105. Suppose -4*u + y + 205 = 0, o*u + 3*y = 48 + 87. Calculate the lowest common multiple of u and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2. Let j(d) = 3498*d**2 + 85*d + 17. Let p(a) = -583*a**2 - 15*a - 3. Let i(z) = 6*j(z) + 34*p(z). Give i(c(s)).\nAnswer: 4664*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 120756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5064 is divided by 2526.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.771 and -7939.\nAnswer: -7937.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2887079269 - -1.\nAnswer: -2887079268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138.609 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1219 (base 11) to base 10\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2888 + -25928\/9. Let z be ((-25)\/10 - -3)\/((-1)\/2441). Let i = z + 1185. Find the common denominator of i and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -567967420 rounded to the nearest one million?\nAnswer: -568000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 + 2739*n - 5*n**3 + 29 - 2739*n.\nAnswer: -12*n**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + d = 53, 24*u - 22*u = -5*d + 121. Let o(b) = 2*b**3 + 2*b**2 + b - 2. Let n be o(2). Calculate the greatest common factor of u and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = c + 4, 5*c = -4*g + 2*g - 27. Let f = 8 + c. Suppose f*t - 387 = -3*x + 7*t, 3*t - 387 = -3*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2169, -2167, -2163, -2157, -2149, -2139, -2127?\n\"Answer: k**2 - k - 2169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 26440000 to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 13) to base 7\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2. Suppose -5*s + 2*s + k + 5 = 0, -4*k + 10 = 3*s. Let n(g) be the first derivative of 13\/2*g**s + 5 + 0*g. Determine n(l(j)).\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + p**2 - 7*p - 5. Let a(g) = -2*g**3 - 4*g**2 - 2*g + 2. Let m be a(-2). Is y(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -0.7 (b) -0.04 (c) 7 (d) -32\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 221 by 4726.\nAnswer: 13\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/25, 0.1, 0.06?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1011*x**5 + 4*x**4 - 157*x - 190 wrt x?\nAnswer: 20220*x**3 + 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 0)*(-1 + 2 + 0)*(3 - 4 + 4)*(2*x - 7*x + 3*x) to h + y*x and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 10. Let t be x(5). Which is the second biggest value? (a) 8 (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5*(5 + 0 + sqrt(448) - (sqrt(448) + sqrt(448) + (sqrt(448) - -2*sqrt(448)) + -1)) - ((0 + sqrt(448))*-6 + 3*sqrt(448) + 4)))**2.\nAnswer: -450432*sqrt(7) + 8573328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 85*196.0648\nAnswer: 16665.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(63) - -4*(sqrt(7) - (sqrt(7) + 1)))**2 + 1.\nAnswer: -30*sqrt(7) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20733 - 13937. What are the prime factors of z?\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2060, -4108, -6130, -8126, -10096?\n\"Answer: 13*y**2 - 2087*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -17. Suppose 2*v + m*y = 6*y + 28, 5*y + 13 = -3*v. Suppose h - 2*k - 162 = -3*h, -2*h = v*k - 86. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48159?\nAnswer: 3, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(-5*sqrt(99)*3*-5)\/(2*sqrt(324) + sqrt(324) + (sqrt(576) - (-1*sqrt(576) + sqrt(576))) + sqrt(576)).\nAnswer: -1 + 225*sqrt(11)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 26 = -2*n. Suppose 0 = 4*x - 2*z + 5*z - n, -x = -2*z - 17. Solve 3 + x = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4*u - 30 = 0, 3*u + 45 - 10 = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 468 - 663. Let s = o - -2139\/11. What is the nearest to -1 in -5, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/990)\/((-4)\/6)*1*2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18, 2, 5, -1\/242?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*a, 0 = -4*a - 0*s - 5*s - 28. Let c(b) = b**3 + 89*b**2 - 280*b - 343. Let q be c(-92). Put 4, q, a in descending order.\nAnswer: q, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-25))\/((-3)\/3180)*-1 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 18.27.\nAnswer: -73.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2444.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*87\/(-2030)*(-1)\/(-2)*-10?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*k = 35*k. Suppose -y = -3*y + 10. Suppose k = -y*u + 117 - 22. Calculate the greatest common divisor of 171 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/6 and 4\/(-18)*(-1281)\/56?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 930184, 930185, 930186?\n\"Answer: u + 930183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 4 - 1 + 40*t**3 + 13*t**3.\nAnswer: 53*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-3))\/(32\/(-36) - -1). Let t(f) = f**3 + 4*f**2 + 6*f + 7. Let k be t(o). Which is the nearest to -2\/3? (a) 5 (b) -4\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/60)\/((-13)\/(182\/35)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5532*u**4 - 10934*u**2 + 13655167?\nAnswer: 22128*u**3 - 21868*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*j - 20 = 0, -4*n - 4*j + 22 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -180 - -718. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(-4)*18 - (-18)\/(-36). Let p be ((-4)\/1160*-8)\/(4\/j). Which is bigger: -0.1 or p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 6*i + 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 165*y**4 - 356570*y**3 - 345925*y**2 + 10810*y = 0?\nAnswer: -1, 0, 1\/33, 2162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 1782421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -m + 664. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (165\/66)\/(5\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -11*z - 8. Let k(x) = 16*x + 12. Let q(p) = 5*k(p) + 7*n(p). Differentiate q(s) with respect to s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/31 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*d - 7525652 = -128*d + 3456098. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13444 divided by 2?\nAnswer: -6722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1456 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2984.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 37*x**8\/112 + x**7\/105 - 7*x**6\/120 - 157*x**5\/20 + 1901*x**2 - x. Find the third derivative of p(c) wrt c.\nAnswer: 6660*c**2 + 48*c - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -618761, -618757, -618761, -618773, -618793?\n\"Answer: -4*x**2 + 16*x - 618773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 5*l - 57 + 58)*(0*l + 3*l - 6 + 3) to the form p*l + o + i*l**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572 - 1128 = -100*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**2 + 5*j - 9. Let l(h) = 2*h**2 - 3*h + 5. Let i be -3*(-9)\/((-81)\/21). What is i*l(u) - 4*g(u)?\nAnswer: 2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -2717880368 and -3.\nAnswer: -2717880371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 + (-119)\/(-28))*-12. Let r be (18\/(-54))\/(u\/27). Which is the nearest to 1\/4? (a) r (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 109 = 3. Calculate the highest common factor of q and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t + 2 = 4*d, -t - 5*d = 2. Calculate the lowest common multiple of 2 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2428359 rounded to three decimal places?\nAnswer: -0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009999 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5913 + 7895 + 9008 = -621*l - 7019 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -268 or -5\/86932?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q**3 - 10*q**2 + 6*q - 16. Determine i(4).\nAnswer: -856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 - 47*c**3 + 22*c**3.\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 697*t**2 - 1899*t**2 - 1325*t**2 in the form i*t + d*t**2 + p and give d.\nAnswer: -2527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 142, 5, 7.\nAnswer: -5, 5, 7, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5071326.\nAnswer: 2, 3, 13, 79, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-17784)\/2535)*20.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291841.7 kilometers in centimeters?\nAnswer: 29184170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18020 + 18031. Solve -3*a + 23*u = 27*u - v, u + 7 = -4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4563 + 574 - 1186 = -69*h. Suppose 0 = -y + 17. What is the remainder when h is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*t - 66, 4*t + 2*h = -t + 64. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -2\/9, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2988*t*v**2 + t*v - 2099*t - v**2 - 4 wrt v?\nAnswer: 5976*t*v + t - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3765756 is divided by 50?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3489243385277739893\/364590 - -9570321142312. Let s = 1\/20255 + t. What is the common denominator of s and 99\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - 3*t - 5. Suppose -5*v + 16 = 2*a, 2*v - a = -3*v + 22. What are the prime factors of r(v)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*k**4 - 718*k + 1437*k - 719*k + 1 + k**2 to u + a*k**4 + y*k**3 + s*k**2 + f*k and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 69 times 74749\nAnswer: 5157681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10774, 27204, 90500, 179114, 293046, 432296?\nAnswer: 596864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 294b (base 14) to base 15\nAnswer: 227e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 0 - (-88)\/28. Let x be (-2)\/13 - (-10)\/65. Let q = 1 + x. Which is smaller: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -194, -1\/7, 5117 in increasing order.\nAnswer: -194, -1\/7, 5, 5117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 3*s**3 + 0*s**3)*(-25*s - 10*s + 23*s - 2*s + 0*s + 0*s + (-3 + 3 - s)*(2 + 2 - 2) - 2*s + 0*s + 0*s) + 4*s**4 - s**4 - 2*s**4.\nAnswer: -35*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.0180912 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-3)*((-4)\/(-6))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-45)\/60 + 13\/(-4). Calculate the remainder when 248 is divided by (((-7280)\/(-50))\/(-13))\/(j\/30).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 202*b + 827. Calculate the least common multiple of 51 and c(-3).\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*w + 1\/8*w**4 - 1\/4 + 1\/8*w**2 + 3\/8*w**3.\nAnswer: (w - 1)*(w + 1)**2*(w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470325 (base 8) in base 5?\nAnswer: 20104312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5181*p + 979313. What is o(-189)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-625559)\/7511*(-21)\/33\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = -2*d. Let g be 3 - 2\/(d + 1). Suppose -52494 = v + g*x + 93522, 4*v - x + 583996 = 0. What is v rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200964.\nAnswer: 2, 3, 16747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - t + 1. Let n(a) = -2*a**2 + 8*a - 1. Let d(o) = 2*o. Let j(c) = 2*d(c) - n(c). What is -j(v) + s(v)?\nAnswer: -v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 6\/1819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4009, 4010, 4011, 4012?\nAnswer: 4013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -t + 2*t. Suppose 21 = 2*a - 9. Calculate the greatest common divisor of t and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -952 = -5*x + 3. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 31 = 116. Calculate the greatest common divisor of 21 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4*l + 0*l - 8 = 0, 2*u = -5*l - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 13 = s + 5*y, 0 = 5*s - 5*y + 5. Let g(k) be the second derivative of -k**5\/20 - 5*k**4\/12 - k**3 - k**2\/2 + k. What is g(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 14177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let s(t) = -24*t. What is 12*c(j) - 2*s(j)?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7945, 3 in ascending order.\nAnswer: -1, 3, 7945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {t: 6, k: 2, p: 1, w: 4}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10524*t - 3768 - 3234 = -11302*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2. Let j(v) = 5*v**2 + 2. Give h(j(r)).\nAnswer: 25*r**4 + 20*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -14*s - 355. Let c(z) = -13*z - 358. What is -9*c(v) + 8*w(v)?\nAnswer: 5*v + 382","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -747100 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45 + 7*k - 45)*(3 + 3 - 7) to the form m*k + r and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3147 - 3150.779. Round g to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -287730\nAnswer: 1\/95910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**14\/q)\/(q\/(q**15\/q)))\/(q**14*q**8) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 321*l**3 + 251*l**2 - 161*l**3 + 735*l - 155*l**3 - 991*l**2.\nAnswer: 5*l*(l - 147)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {s: 2, t: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 112, 110, 108, 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -829*q - 31914. Give m(-40).\nAnswer: 1246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {d: 3, e: 3, k: 4, y: 6, p: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000590681 to seven decimal places.\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 397860429 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 9) to base 12.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -14, -69, -158, -287?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1372 - -26066\/19. Let g(h) = h**3 + 15*h**2 - 16*h - 2. Let v be g(-16). Sort m, 0.1, -5, v in descending order.\nAnswer: 0.1, m, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, v: 2, a: 2, s: 2}. Give prob of sequence aa.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.089 (b) 2 (c) -2\/11 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/1020 and -69\/50?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 2. Let i be g(0). Let d = i + 8. Solve 4*k = 20, -7 = -4*w - d*k + 3*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8258843767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*m + 132. Suppose 3*u + 2*x = 12, 5*u + 3*x + 0*x - 20 = 0. Suppose -6 = -u*q + 258. What is the highest common divisor of q and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -16.7. Which is the closest to 0.1? (a) r (b) -0.5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2914 + 2883 - (-49 - 1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 8. Suppose o*c = -5*j + 51, -2*c - j + 9 = -12. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 371944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 430 and 356685?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 - y**3 + 4*y**3 - 4 as n*y**2 + q + j*y**3 + b*y and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 11 = -3*j. Solve -3*f - j = -6*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + l. Let t be u(1). Solve -t*v - 8 = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 - 3*x**2 - 6*x - 13. Calculate f(-3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 24368196?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 = 35*o - 12*o. Calculate the highest common factor of 559 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5 = 9*l - 4*l, 0 = -3*l + 2*p + 6. Suppose -2*y + l = -2. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxxxxxvxxxxx?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(5500)\/sqrt(11)).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 9. Let y be d(6). Let g be 89\/y + (-13)\/39. Let o = 107 + g. Is 34 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.2603mg in kilograms?\nAnswer: 0.0000182603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11717*h*o - 159684*h - 1 wrt o.\nAnswer: -11717*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*p + 48 = -108*p. Suppose -7 = -0*r - r - 2*w, 10 = p*r + 2*w. Let g = 5 + -2. Sort g, r, 0, -3 in descending order.\nAnswer: g, r, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5929.506 litres?\nAnswer: 5929506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.513633 litres?\nAnswer: 3513.633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-7 - (2 - 12))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 a when three letters picked without replacement from oooaoaqooooooaoo?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38214093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1516.1383 rounded to zero dps?\nAnswer: -1516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f*m**3 + 509*f*m**2 + 36497*f + 20*m**3 - 1041278*m**2 wrt f?\nAnswer: -2*m**3 + 509*m**2 + 36497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*n - 10 + 30, 0 = -2*n - 5*v + 25. Let f(p) = -p**2 - p. Let j be f(n). Solve j = a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 12 = 3*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 9:10 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = 12*d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11628)\/270)\/(-2) + (9 - 552\/60)?\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r - 32 = 17*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2580001 bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*v - 429792 = 6*v + 407664. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*z - 4007, z - 585 = -2*f + 214. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(33\/(-22) - 2\/(-4)). Suppose p - 5*n = -1 - 16, 5*n - 5 = s*p. Solve -2*g = i - 0*g - 3, -7 = -p*i - 4*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 336\/5 + 28\/(-140). Let z be ((-3)\/(-2))\/((-3)\/4). What are the prime factors of l\/(4 + z + -1)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6*f = -3*b + 2094, 5*b - 3515 = -5*f. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20\/103 in -0.02, 2\/5, 13, 3, 3\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*x - 4, -5*t + 22 = -x. Put -3, t, 10 in increasing order.\nAnswer: -3, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 17. Let j = 8 + -21. Determine k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 5. Let u(d) = -d - 1. Let j(x) = -x**3 + 5*x**2 - 5*x + 26. Let n be j(5). Determine n*t(y) + 5*u(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-5\/2)*z)\/(z\/z**10))\/((z\/((z*z**(-6\/19))\/z)*z)\/((z*z\/(z\/(z**31*z)))\/z*z)))**(5\/4) assuming z is positive.\nAnswer: z**(7445\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12269 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b - 12*b + 30*b - 26*b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6324?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 5:04 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -881*o - 901*o - 5163 + 1784*o in the form y + u*o and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20294 plus -259660?\nAnswer: -239366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 31 = -5*h - 4*k, 3*h + 2*k = 17. Let y = h - 12. Let f(m) = m**3 + 7*m**2 + 12*m + 6. Let n be f(-5). Sort n, -1, 3, y in descending order.\nAnswer: 3, -1, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 28. Let k be 2*-11 - (-32)\/n. Is k at least -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 - 5*q\/3 + 14\/3.\nAnswer: -(q - 2)*(q + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 505*i - 1239. List the prime factors of w(5).\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286981 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-156)\/(-130))\/(2\/(-5)) - 4. Let r be (-3)\/(-1) + (33\/(-3) - o). Sort -8, r, 3, 1\/3.\nAnswer: -8, r, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(125) + (sqrt(125) - 4*sqrt(125)) + 5 - sqrt(125) - sqrt(125) - sqrt(125)) + sqrt(125)*-1*-6 + -2)**2.\nAnswer: -536 - 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-90)\/60)\/(50\/56 - 1). Is 14 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvuvvvvcvucvcvc. What is prob of picking 2 v and 1 u?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -342, -5, 11, -6 in increasing order.\nAnswer: -342, -6, -5, -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033880954?\nAnswer: 2, 59, 8761703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12818 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.36492 to two decimal places.\nAnswer: -17.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44 (b) -6 (c) 1\/12 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0\/(-2) - (-175)\/315.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -24*p. Let v(m) = m + 6. Let q be v(9). Let u be (40\/q + -2)*42. Let l = u - 27. Give t(l).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*q**4 + 44 - 49 + 6*q**4 + 33*q**4 with respect to q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 5*y**2 + 11*y + 14. Calculate l(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 520880214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1119 - 1103. Solve 16*h + r = -0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 13 + 1 = 0. Let j be (-10)\/15*(0 + l). Differentiate 2 - j + h**2 + 0 + 0 wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 0\/(-3*3\/(-9)). Which is the second smallest value? (a) o (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 12 - 17 - 3 + 60*s + 24 - 7*s**2 + 33*s**2 = 0.\nAnswer: -2, -4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1098, -1139, -1182, -1227?\n\"Answer: -j**2 - 38*j - 1059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*(-12)\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6993 - c43?\nAnswer: 5a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d + 45 = 0. Suppose -5*a = 17 - 57. Calculate the remainder when 6\/27 - 277\/d is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 27. Let i be 3 - (0 + 7) - -5. What is the second smallest value in -0.1, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -8*m + 2. Factor -m - 16 - 1 + 30*g + 2*g**3 - 14*g**2.\nAnswer: 2*(g - 3)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1758 is divided by 290?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -291, 0.4, 2586, -0.4, 12.\nAnswer: -291, -0.4, 0.4, 12, 2586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119*x - 6*x**3 + 119*x + (0*x**2 - x**2 - 8*x**2)*(-x - 5*x + 3*x) + x - 3*x**3 - x to the form m*x + u*x**2 + g + z*x**3 and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k + 3. Let z = 3583 + -3569. Calculate the remainder when v(-5) is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 6. Let w(m) = 2*m**2 - 34*m - 2. Let p be w(17). Let c be k(p). Solve -c*z + 10 = 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16229 + -16087. What is the remainder when 549 is divided by b?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(756) - sqrt(756)) - sqrt(756))\/(1*(sqrt(21)\/(sqrt(7) + sqrt(56)\/sqrt(8)) - sqrt(3))).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*q = p - 6, 4*p = -2*q + 14. Let x be (32\/10 + -3)*p. Which is the second biggest value? (a) -1 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.2, 3, -62 in decreasing order.\nAnswer: 3, 0.2, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 11*x = 6572. Let w = x + 2430. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9*0*4\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfssfprhp. Give prob of sequence rs.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/((-210)\/(-108)))\/10?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -5*f**8\/84 + f**4\/8 + 10*f**2 + 16. Let w(p) be the second derivative of g(p). What is the second derivative of w(t) wrt t?\nAnswer: -400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/40 and -89\/1978880.\nAnswer: 1978880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -4*w**3\/3 + w**2\/2 - 4*w + 11657. Let i(j) = -3*j. Give f(i(y)).\nAnswer: -36*y**2 - 3*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-4) - 1)\/((-45)\/(-90)). Let m(j) be the second derivative of 0 - s*j + 2*j**3 + 1\/3*j**4 - 3\/5*j**5 + 2\/15*j**6 - 4*j**2. Factor m(d).\nAnswer: 4*(d - 2)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -8)*100\/(-6). Let s = 184 - g. Suppose 2*f + 2*x = 11 + 63, -s = -2*f + 3*x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267785046.\nAnswer: 2, 3, 709, 20983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 6*r - 6. Let m(t) = -2*t**2 - 5*t + 5. Let p be 50\/15*(-63)\/(-35). Determine p*m(q) + 5*d(q).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/4 - 77*x\/4 + 285 = 0.\nAnswer: 20, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y**2 + 116*y - 150. Determine a(16).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/(-8))\/((-2)\/(-12)). Suppose -465 = 20*z + 73*z. Put m, z, -4 in ascending order.\nAnswer: m, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421208040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 16*a + 31. Is 7 a factor of d(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c*s**3 + 126469*c*s**2 - 152271*c wrt s.\nAnswer: 6*c*s**2 + 252938*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122120035 - 0?\nAnswer: 122120035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2859 is divided by 2832?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 113348170, 226696332, 340044494, 453392656, 566740818?\n\"Answer: 113348162*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(637) + -2 - sqrt(637)) + 1 + sqrt(637)*2*5)*6 + 1)*1 + 0)**2.\nAnswer: -130200*sqrt(13) + 57330961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -2b?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-3))\/(((-232)\/120)\/(-29)*10).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -160237*k**2 - 2*k**3 + 110 - 7*k + 160235*k**2 + 5*k**3 as o*k + s*k**3 + f + n*k**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpehpvv. What is prob of picking 1 p and 3 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-6 + 8)) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-24)\/270)\/(2\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12871 is divided by 163.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**4 - 2*a**3 + 13*a**2 + 38*a + 24 = 0.\nAnswer: -3, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (12 - 30) - (-1 - 1)*-2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241 + 241 + 24392*a.\nAnswer: 24392*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171550, 171543, 171532, 171517, 171498?\nAnswer: 171475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-330)*11)\/((-1)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - -49) + -2 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**6\/120 + f**4\/24 - 2*f**3 + 4*f**2. Let c be l(0). List the prime factors of 9\/2*c\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49288 (base 10) to base 11.\nAnswer: -34038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emmeeee. What is prob of picking 3 e?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127804\/7 - -18258. Let b = 0.5 - 0.3. Let u = 0.1 - b. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24613050 divided by -165.\nAnswer: -149170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6821, 285, 3?\nAnswer: 6821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 238811, 477583, 716339, 955073, 1193779, 1432451, 1671083?\n\"Answer: -h**3 - 2*h**2 + 238785*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7.45 times 0.06\nAnswer: -0.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.975431 - -0.024009. Let w = -2 + n. Round w to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + 1. Let h be n(-1). Let i = 10.923 - 53.923. Which is greater: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/2 + 12*a - 27\/2.\nAnswer: 3*(a - 1)*(a + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 1, a: 3, o: 6, y: 3}. Give prob of sequence oo.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/262545 and -53\/258.\nAnswer: 22578870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -5*l - 14, 7*l + 2*t - 16 = 10*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*y = 5, 3*y + 3 = 20*i - 25*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -17. Suppose 0 = -5*b - x*b + 35. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from did. Give prob of picking 1 d and 1 i.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/((-12)\/(-720)). Solve 10*c + t = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 1077?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b**3 - 39*b**2 + 21*b - 1 = 0 for b.\nAnswer: 1\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.038 - -0.03800134. What is b rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237049298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -1\/4*q**5 + 5\/2*q**3 + 5*q**2 + 0*q**4 + 65*q + 0. Factor s(w).\nAnswer: -5*(w - 2)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174525798 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2873881, 5747766, 8621651, 11495536, 14369421, 17243306?\n\"Answer: 2873885*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:41 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 380.4181 years in decades?\nAnswer: 38.04181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide ((-9)\/4)\/((-64)\/307456)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 187 = -143. Is d >= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12)*(-9)\/39.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -283 - -516. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 4*m**2 + 5*m + 7. Let y = 56 - 59. Suppose -4*c + 72 = -3*s, 5*c - 5*s - 50 = 3*c. Let x be 66\/c - y\/5. Determine q(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 3. What is the remainder when b is divided by -1 - (-20)\/8*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127 or 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -22282\/243 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqqq. What is prob of sequence xqqq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/5 of a hour?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1448830047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2450.4 + -2452.6. What is the biggest value in 0.1, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -703, -1396, -2089?\n\"Answer: -693*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/4 (b) 59 (c) 0.2 (d) 1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736788 is divided by 323.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1124\/10 - 12\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18821*p - p**3 + 1202*p**2 - 6276*p - 6270*p - 6275*p.\nAnswer: -p**3 + 1202*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 23*o = 1276. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -6b41?\nAnswer: -6b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9056695 - -46\nAnswer: -9056649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 6*p**2 - 89*p + 29. Suppose 4*b + 52 = 3*m, -42 = 5*b + 3*m + 23. Let q be t(b). Solve -q - 6 = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 78.61714t?\nAnswer: 78617140000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 248 and 32548543.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 10:31 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -4. Suppose 5*c = -5, -2*s + 28 - 7 = -c. What is the greatest common divisor of s and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7\/80 - 49\/48. Calculate the common denominator of 25\/207 and u.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 15. Put -1, 5, d in ascending order.\nAnswer: -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-f - f + 0*f)*(f**3 + 2 - 2) - 111048*f**3 + 3527*f**4 + 111048*f**3.\nAnswer: 3529*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618250333 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34740*q**2 - 43434*q?\nAnswer: -69480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y**3 - 11*y**2 - 2*y. Let p(i) = 18*i**3 - 33*i**2 - 7*i. Let s(w) = 7*k(w) - 2*p(w). Find the third derivative of s(n) wrt n.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88.22 - 94.309. Let t = 6.1 + b. Round t to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -273 - -107. Let r = -166.00000645 - z. What is r rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w + 1. Let k(g) = 1507*g - 2. Determine k(m) + 2*u(m).\nAnswer: 1499*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.09, -1, 4, 188, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5547 - -31996. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**4\/12 - 2*s**3 - 18*s**2. Let g be i(7). Solve -2*c + g + 4 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/4*14*(-256)\/224.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/9 and -31\/55278.\nAnswer: 55278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39517972 and 10036.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 2 - 3*v - 13 - 6*v + 0*v**2. Let q be d(-9). Is 2\/q - (-640)\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 41, -0.3, -1\/271, -284, 0.3?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4158 = -402*g + 556*g for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22636, 90636, 204008, 362752, 566868?\n\"Answer: 22686*m**2 - 58*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 21*z + 2*z**2 - 8*z - 9*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -8)*(-1)\/(-5)*2. Find the second derivative of 725 - 363 + 2*x**l - 362 - 3*x + 5*x**3 + 35*x wrt x.\nAnswer: 30*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, 4\/45, -1\/2, 0.4, 0.03, -1\/3, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 0 - 307*a + 622*a - 310*a + 0. Let o(g) be the first derivative of -g**5\/30 + g**2 - 2. Let h(n) be the second derivative of o(n). Give x(h(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -506113, -1012112, -1518111?\nAnswer: -2024110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l + 15. Let v be 4\/(-6) - 28\/(-6). Solve -2*j = 4*k - 12, -2 = -v*j + l*j + 2*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 527 + -521. Calculate the least common multiple of 188 and x.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15784 by -4.\nAnswer: 3946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c - 1 = -y, 5*y + 5*c + 35 = 0. Suppose 46*x - 52 = 86. Sort y, x, 17 in ascending order.\nAnswer: y, x, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4)*9\/((-135)\/(-740)). Suppose 2*y = -w + 17, 0 = -5*w + 6*y - 5*y + u. Calculate the remainder when 71 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12943 (b) -0.329 (c) 3\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**5 + 210*v**4 - 965*v**3 - 8640*v**2 - 15860*v - 8400 = 0. What is v?\nAnswer: -2, -1, 12, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(2\/3)\/u)*u)\/u**7)**(-2\/41)\/((u\/(u\/u**(-4)))\/u**(-1\/5)*u**(2\/9)*u*u\/((u\/(u\/((u*u**(-1\/6)\/u*u)\/u)*u))\/u)) assuming u is positive.\nAnswer: u**(-1333\/3690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(450) - (sqrt(450) + sqrt(450) + -1)*6) + sqrt(450) + -6*(sqrt(450) + -2) - (3 + (sqrt(450) + -2 - sqrt(450)))*-6)*4)**2.\nAnswer: -184320*sqrt(2) + 1852416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 2318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3*(-5)\/((-15)\/(-9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1805747328 divided by 1302848.\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 24*c**2 + 132*c + 144.\nAnswer: -3*(c - 12)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25356, 27084, 29974, 34032, 39264, 45676, 53274, 62064?\n\"Answer: h**3 + 575*h**2 - 4*h + 24784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2)\/(18348\/(-2224))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2172279 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 6*d**2 + 8*d + 9. Let c be b(-7). Suppose -4*m = -12, -4*m + 4 = 4*f - c*f. What is the units digit of (-1275)\/(-12) - f\/(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qazqzrqaazcrrzra. What is prob of sequence zcra?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 10 - 3 - l**3 - 7*l**2 as p*l**3 + z + f*l**2 + h*l and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 22 + 3 = -47*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/10 of a day?\nAnswer: 4752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(140))\/(sqrt(7) - sqrt(112)*-2).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/9 + 72490360*q\/9 - 16108968 = 0. Calculate q.\nAnswer: 2, 36245178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 15*z - 16*z. Suppose 5*q - z + 0 = 0. Solve 6 = -a + q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y + 4*n - 4 = -35*y, -20 = -4*n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14607c6 + 7?\nAnswer: 14607cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 z, and 1 o when three letters picked without replacement from {f: 6, z: 6, o: 1, q: 4, v: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 170? (a) 2 (b) 45 (c) 5 (d) 0.04 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -21. Let r(f) = f**2 - 4*f + 3. Let k be r(3). Suppose 0 = -o + 5*n + 11, k = 2*o - 2*n - c - 14. Calculate the remainder when o is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, x: 1}. Give prob of picking 1 x and 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8784*p + 2336565. Determine k(-266).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/6750 and -151\/96.\nAnswer: 108000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23030, -23430, -24098, -25034, -26238?\nAnswer: -27710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/3, 0, -0.04, 17486\/15, 0.3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5)*o**(3\/5)\/o)\/(o**(-2\/9)*o**8)*((o**(-1\/5)*o)\/o**(4\/11))**(-23) assuming o is positive.\nAnswer: o**(-9214\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10402003 - -11010?\nAnswer: 10413013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 59519.\nAnswer: -59519.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 7*y**2 + y - 17. Let c be m(7). Let p be (-5 - c) + 1*-2. What is the second derivative of 7*s + 77*s**3 - 81*s**p - 4*s wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*-1.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -45*m + 275, 30*q - 3 = 4*m + 29*q - 9 - 17 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -987257*1.\nAnswer: -987257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 87?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o - 1. Let b be r(-1). Let d(w) = -6*w - 7 + w**b - 2*w**2 - 4*w**2 + 2*w**2. Give d(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 387 - 75. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33016.16795 to zero dps.\nAnswer: -33016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2381028372.\nAnswer: 2, 3, 61, 120473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byy when three letters picked without replacement from yybyyyybyyy?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*a + 3*z + 158, -4*a + 129 = -z. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 503883878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 - 6*z**2 - z - 3. Is o(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -136*f + 135*f + 4*b + 19, 3*f = -2*b + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 8:06 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 12 = -2*u, 28*r + 8 = 24*r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6859 in -1\/2, -0.02, 4, -3\/4, 1\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9028941, 9028939, 9028937?\n\"Answer: -2*l + 9028943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**5\/60 - y**4\/24 + y**3 + 5*y**2. Suppose 2*r = 3*r. Is n(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*j**3*l + 62026*j*l**3 + 104*l**3 + 378 wrt j?\nAnswer: -12*j**2*l + 62026*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 z when three letters picked without replacement from {t: 1, z: 3, k: 2, a: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 6:57 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.43 + -64.57. Let j = -66.8 - h. What is j rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*i + 16 - 29, -r + 15 = 3*i. Solve -f - 4*t = -2*f - 2, -5 = -f - r*t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378777349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -152, -230, -308?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32033611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 70. Let u(h) = -3*h - 230. Let g(i) = -4*u(i) + 13*x(i). Let j(z) = -2 - 6*z - z + 8*z. Let v be j(7). Give g(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/7? (a) 1 (b) -2\/75 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-734)\/(-8) + 0 + 3\/12. Let x = z - 93. Find the common denominator of 73\/39 and 313\/(-24) + (x - -2)\/(-8).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.5, 2\/17, 4, 2\/151?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 10*l + 9. Suppose -l*p = 2 - 8. Suppose -p*j + 4*o = -14, 8*j = 3*j - 4*o + 77. Which is greater: j or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713500 divided by 2?\nAnswer: 856750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-8))\/((-2)\/8). Let s(x) = -2*x. Let l be s(-2). Suppose l*f = 3*f - m*h + 12, -3*h + 3 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 9*m + 8. Let g be j(8). Suppose 5*i - 5*p = -25, -2*i + 0*i - 5*p + 25 = g. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x + x + 7 + 6*x**2 + x. Is g(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*p - 6 = -101*p, 4*p - 16 = 4*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b63 (base 12) in base 4?\nAnswer: 1033323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*a = -a + 13, -5*s + 3*a + 34 = 0. Differentiate -6*f**3 - s + 0 + 25*f**3 wrt f.\nAnswer: 57*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 less than -1878709338898?\nAnswer: -1878709338898.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*u + 15 - 15)*(9*u**3 + 8*u**3 - 8*u**3)*(-2 + 5 - 2)*(-5 + 0 - 5).\nAnswer: 2250*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.2 + 2.2. Which is the second biggest value? (a) 1\/15 (b) z (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 483177.\nAnswer: 2415885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*u - 13*u - 44. Suppose 0*t + 1138 = 3*t - u*d, 366 = t + 2*d. What is the smallest common multiple of t and 10?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + d + 42 = 0. Suppose u - d = 5*p, -3*u + p = 4*p - 21. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111221 + -12?\nAnswer: -112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -68*s**2. Let y(j) = 4*j. Give y(m(k)).\nAnswer: -272*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2688*o**2 + 1429*o**2 - 2187*o**2.\nAnswer: -3446*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/6, 0.046, 3, 28, -0.2 in decreasing order.\nAnswer: 28, 3, 1, 0.046, -1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -7*p**3\/3 - 6*p**2 + 18*p. Differentiate c(d) wrt d.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/((-168)\/(-2023)) - (-2)\/(-12). Solve -60*h + 48*h = l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -29118.\nAnswer: -7\/14559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14712 is divided by 475?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -106.0683\nAnswer: -106.0683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -3\/2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*s**3 - 5*s**2 - 110.\nAnswer: -60*s**2 - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 153 - -c4?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - 19 - 8 + 26*u)*(-2 + 2 - u) + (3 - 4 + 3)*(-43 + 43 + 8*u**2) to the form t + i*u**2 + v*u and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(2*z - 2*z - z) - 73 + 35*z - 55*z + 22*z.\nAnswer: z - 73","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -889.8968 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23)\/(-6) - 5\/(-30). Let l(v) = -v**2 + 4*v + 2. Let b be l(c). Factor 5*k**2 - 6 - b*k**2 - 4*k - 6*k**2 - 5*k.\nAnswer: -3*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:26 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1605 + 0.16051722. Round z to seven dps.\nAnswer: 0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*p - 103. Calculate the remainder when 232 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o - 321*o + 44 + 4730 = 0 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 7. Let q be -4 + 4\/(-8)*0. Let h be p(q). Let v = -23 - -1563\/68. Is v at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 600905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 96793988.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 72151 - 2*k + 28*k**2 - 3*k - 72147 as i + s*k + l*k**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Convert -312023 (base 5) to base 3.\nAnswer: -112002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {l: 4, f: 2, b: 1, y: 3, m: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-10) + 10\/(-25). Let o be 4\/(-3) + 2\/(-3). Is p at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.6 and 27.26.\nAnswer: 152.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9782 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -28*c**2 - 8*c + 145. Let b(f) = 41*f**2 + 11*f - 145. Determine 2*b(l) + 3*d(l).\nAnswer: -2*l**2 - 2*l + 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 5620300?\nAnswer: 5620300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j - 1 + 1 + (11 + 9 + 1)*(-2*j - j + j).\nAnswer: -45*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to 124\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146 - -91. Let h = 56 + o. Which is bigger: h or -3\/40?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 17 - 19. Suppose -d - 3*f = 18, -f + 14 = -3*d - q*f. Do 47 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 + 27*t**2 - 13*t - 21. Calculate v(13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/10*25\/10. Suppose 5*q + l + 140 = 0, -125 = 5*q - l - l. Let i = q - -47. Solve 5*x + g*h - i = 4*h, 5*h - 4 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + 0*i**2 + 2*i**4 + (1 - 3*i - 1)*(-2143 + 2143 + 23*i**3) to the form j*i**3 + x*i**4 + m*i + s + t*i**2 and give x.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/8167727 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 y, and 1 v when four letters picked without replacement from keyevy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -11*f**3 + 8*f. Let s be (1\/(-2))\/((-69)\/(-414)). Let n = -18 + 26. Let l(m) = -4*m**3 + 3*m. What is n*l(j) + s*d(j)?\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 321 (base 5) to base 12\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(88)*-3*2)\/(sqrt(2) + (sqrt(2) - sqrt(2)*-1*1) + sqrt(2) + sqrt(2) + sqrt(10)\/sqrt(5)*-2).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssmffa. Give prob of picking 1 f and 2 s.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(sqrt(208) + sqrt(13)).\nAnswer: -15*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/6)\/((-2)\/(-3)). Suppose 0 = -t + 5*d + 26, -i*t - 14 = 4*d + 2. What is the units digit of ((-9)\/6)\/(t\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/65)\/(3 - 29\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/31)\/(x*(x*x**(-3)\/x)\/x))\/(x**2\/x**2) assuming x is positive.\nAnswer: x**(95\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3028 a factor of 25387332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4909*m + 717363 + m**2 + 5842*m + 2*m**2 - 7817*m.\nAnswer: 3*(m + 489)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1405871946 and 6408.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*q = -7*q + 190, 4*i = 3*q + 714. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 239 - 185. Suppose 30 = -4*v + q. Does 6 = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -v + 2*r, -21 = 2*v + 3*r - 4. Let x = v + -1. Let g be 1 - x - (12 + -6). Which is smaller: g or -13\/3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -911 + 911. Sort 1\/6, 7, m.\nAnswer: m, 1\/6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28122, -1\/3, -0.2?\nAnswer: -28122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*s = -19, -3*c - 4 = -3*s + 5. Let t be (6 - c)\/1 + -1. Suppose 5*y + 5*q - 35 = 0, 8 = -4*y + 4*q - t. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/28, 1, -1\/2, -0.89?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44, 62, 44, -22, -148, -346?\n\"Answer: -2*o**3 - 6*o**2 + 50*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.46 (b) 219.3 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3587.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 3*i - 12 + 3*i. Let m(k) = k**3 - 11*k**2 + 173*k - 1622. Let g be m(10). Determine s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2392980323?\nAnswer: 2392980323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*h - h**2 - 108*h + h**3 + 51*h - 32 - 35 to the form y*h**3 + j*h**2 + d + k*h and give d.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.599 + 0.001. Let w = c - 0.55. What is the biggest value in w, 5, -2\/11, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7489, -14978, -22465, -29950, -37433?\nAnswer: -44914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j - 13. Calculate r(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035668244 rounded to 4 dps?\nAnswer: 0.0357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 7*t + o - 30, 8 = -2*t - 0*t + o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*z - 4 = -a, 2*a = -2*z + 8. Let v be (-3 - 1372\/a)*-2. What is the units digit of (-8)\/(-12) - v\/(-3) - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/4 - 128609*n\/2 - 16540274881\/4 = 0. What is n?\nAnswer: -128609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.119691 rounded to three dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -64404.2957 minus 32.6?\nAnswer: -64436.8957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*q**5*y + 7*q**4*y - 5*q**3*y + 443*q**2*y wrt q?\nAnswer: 660*q**2*y + 168*q*y - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.01, 4, -7\/37, -2\/21 in increasing order.\nAnswer: -7\/37, -2\/21, 1.01, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*4\/(-42) + (-84)\/99.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + g - 2. Let z be 1 - -5 - (1 - -2). Does 5 divide v(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 22*x**2 - 35*x + 765. Calculate r(13).\nAnswer: 1831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3388116 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 96. Let n(m) = -6. Let j(s) = -5*h(s) - 80*n(s). Let y(a) = 11*a. What is -4*j(p) - 5*y(p)?\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(1700) + -2 + -5*sqrt(85)\/sqrt(5)) + -5 + 4 + sqrt(612)*1)*1)**2.\nAnswer: -682*sqrt(17) + 16458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-244)\/122)\/((-4)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3348710, 6697406, 10046102, 13394798, 16743494, 20092190?\n\"Answer: 3348696*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and 18.8.\nAnswer: -526.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y - 6. Let p be b(4). Let z(j) = 18 + 3*j - p - 12*j. Let d(t) = 17*t - 7. Calculate -4*d(k) - 7*z(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (19 - 11) - -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from ejheetjjefj.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.7 rounded to the nearest integer?\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Let n be (0\/c)\/(4 - 2). Put 1, n, -2 in descending order.\nAnswer: 1, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 7*u**2 + 6*u. Let k = 8 - 14. Let t be c(k). Let s = 1 + 3. Solve t = h + s*h + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (14 - 5) + 20 - 81?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10535880 and 13965?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(11) + 5 + ((sqrt(77) + (sqrt(77) - (sqrt(77)*-2 - sqrt(77))) + sqrt(77) + sqrt(77) - sqrt(77)) + sqrt(77))\/sqrt(7).\nAnswer: 5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 646949299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/46 (b) -0.02 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 853*b + 1705. Let j be u(-2). Let p = 10 - 4. Solve -j*y - p = -9*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - u**4 - 1 - 2*u**2 + 1 to v*u**3 + h*u**2 + x + o*u**4 + p*u and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**3*o**3 - 562*g**3 + 6*g**2*o**2 + 48*g*o**3 wrt g?\nAnswer: -48*o**3 - 3372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a - 2*a)*(0*a**2 + 0*a**2 - a**3) + 2*a**2 + 2*a**4 - 2*a**2 + 1848*a**3 - a**4 - 1977*a**3 - a + 3*a**4.\nAnswer: 5*a**4 - 129*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*x - 6736, 6*z = 2*z - 5*x + 8923. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 65 + 1120*s - 2126*s + 990*s to the form v + u*s + z*s**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 38. Let w(i) = -2*i - 31. Let n(j) = -3*j - 31. Let b(x) = 5*n(x) - 6*w(x). Let p be b(g). Which is greater: -29\/3 or p?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**4 + 1890*r**3 + 281319*r**2 - 2097648*r - 5305500 = 0?\nAnswer: -375, -262, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 1. Let p(w) = 21*w**3 + 4*w - 3. Let o(a) = 4*h(a) + p(a). Give o(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1172 - -1178. Sort -3\/5, 2\/59, c in descending order.\nAnswer: c, 2\/59, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + sqrt(190)*-4*1 + 1*(sqrt(190) - -3*sqrt(190)))\/(-1*((2*sqrt(120) - sqrt(120))\/sqrt(12) + sqrt(10) + sqrt(90)\/(1*sqrt(9)))).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, h: 2}. What is prob of sequence hd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from {d: 2, l: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 8. Let x be h(-8). Let o be 2*1\/16 + 12158\/x. Suppose 5*k = 5*b + o, -2*k = b - 6*b - 310. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 2 = -5*n + o, -2*o + 12 = 2*n. Let m(i) = -4 - 1 + 4 + i**3 - i**2 + 2*i. Calculate the remainder when m(n) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2361, 9628, 21739, 38694, 60493, 87136?\nAnswer: 118623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and (-58)\/(-348) + 430\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5062.295 hours?\nAnswer: 18224262000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -203466 + -25?\nAnswer: -203524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + i - 191 = 102, -2*w + 119 = -5*i. Let k = 71993 + -648586\/9. Let a = w + k. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 + k**2 - k + 23. Let c(b) = -12*b**3 - 6*b**2 + 6*b - 125. What is 2*c(p) + 11*o(p)?\nAnswer: -2*p**3 - p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1933, 3856, 5777, 7696, 9613, 11528, 13441?\nAnswer: 15352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2374190 and 151060.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3236 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: Let d(l) = 180*l + 66. Let i(z) = 19*z + 7. Let u(r) = 5*d(r) - 48*i(r). Let j be u(-1). What is the first derivative of j - 15 - 37*g**2 - 12 wrt g?\nAnswer: -74*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13517 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 541626.56 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/51 and -9\/36445.\nAnswer: 1858695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-16)*-35987 - -1. Let r = a + -4487. Let m = 3967\/551 + 1\/2755. Find the common denominator of r and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.541443 and -0.3?\nAnswer: -3.4624329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984129?\nAnswer: 17, 29, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23\/16 + -423\/272. What is the closest to 0 in 0, 4\/7, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194312597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 273088 or 273177?\nAnswer: 273177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 1132363957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7267.36 decades to centuries.\nAnswer: 726.736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 52*y - 2929. Let i be k(-86). Let m(r) = -31*r**3 + 5*r**2 - 5*r - 5. Let c(p) = 775*p**3 - 124*p**2 + 124*p + 124. What is i*c(x) - 124*m(x)?\nAnswer: -31*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20264 is divided by 2483.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from {z: 6, h: 1, y: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*k + k + 1 = 0, 5*w - k = -4. Is 23 a factor of w*94\/(1*-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 74, 2 in decreasing order.\nAnswer: 74, 18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1363*u**3 - 2166*u**3 - 1473*u**3.\nAnswer: -2276*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let h = 2.000032 - u. What is h rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04336255727 and -0.3.\nAnswer: -0.34336255727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 13800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:53 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14877 - 12612. What is the least common multiple of m and 9?\nAnswer: 6795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83.999995 - -84. What is r rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5011*g**2 - 343*g - 5 wrt g.\nAnswer: -10022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 877 divide 8623460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**4 - x**3 + 2*x**2 - 2*x + 2. Let w(r) = -6*r**4 - 6*r**3 + 13*r**2 - 13*r + 13. Let l(v) = 39*t(v) - 6*w(v). Solve l(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 236431 and 338.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6948, 5, 8, -14.\nAnswer: -6948, -14, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.08896 or -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -66431053 - 0?\nAnswer: -66431053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11798075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 314*x - 14*x - 12*x + 110*x - 21*x as v*x + g and give v.\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 35 = 4*c, -4*y = 6 + 6. Let d(u) be the third derivative of u**4\/24 - u**3\/6 - 14*u**2. Let p(t) = t + 4. Let o(b) = 3*d(b) - p(b). Give o(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**5\/60 - 11*o**4\/24 + 4*o**2. Let j = -25 + 38. Calculate the remainder when c(-8) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110.1 + 110. Put -4\/9, x, 1\/6 in descending order.\nAnswer: 1\/6, x, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31478?\nAnswer: 2, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 2338131 - 279447 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2 + 2)*(4557*b + 5409*b - 3908*b).\nAnswer: -12116*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1311153447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**2*x*x**(-9)\/x assuming x is positive.\nAnswer: x**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2*sqrt(70))\/sqrt(5) - sqrt(14))\/(sqrt(2) + 3*(sqrt(2) + sqrt(10)\/sqrt(5) + sqrt(2)) - sqrt(2)).\nAnswer: sqrt(7)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -13*x - 6. What is the tens digit of i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 2*p**2 - 2*p**2 + (-13*p + 33 - 33)*(p - 1 + 1).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n*n**(-15))\/n*n*n)\/(n*n**(-28)) assuming n is positive.\nAnswer: n**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*sqrt(153) - (0 + sqrt(833) + 1).\nAnswer: -16*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*x**2 - 57*x**2 - 502*x**3 - 57*x**2.\nAnswer: -502*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 6*q + 6. Let h be s(-6). Let k be 1\/(h\/(-7) + 1). Suppose 0 = 4*m + k - 535. What is the highest common factor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6511869?\nAnswer: 3, 7, 13, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82876, -82882, -82886, -82888, -82888, -82886, -82882?\nAnswer: -82876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 20*d - 182. Let u be g(-6). Calculate the highest common divisor of u and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -8. Suppose 9 = 5*o - c. Solve 0 = -2*q + q - o*v + 15, 0 = -q + 3*v - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/5 + 1017693*w\/5 + 407078.\nAnswer: -(w - 1017695)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2139641 divided by -2139641?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 249*g - 246*g - 30 = 0, -3*c + 4*g = 53 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -135, -121, -107, -93, -79?\n\"Answer: 14*a - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 68262033*z + 68262033*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + f**2 + 16. Let w be b(0). Suppose -4*a + 4 = w. What are the prime factors of (-48)\/10*15\/a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-49)\/(-7))\/((66\/99)\/((-2)\/30))\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15522*o - 196049 wrt o.\nAnswer: -15522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2)*w)*w)**(-13\/7)\/(w**5\/(w\/w**(-9\/5)*w*w)) assuming w is positive.\nAnswer: w**(-202\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - l = 8, 19*j - 20*j + 2*l = -15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 7*p**2 - p**2 + 0*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 150085 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -21430?\nAnswer: 3\/2143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*j + 12, -2*w - 21 = 2*w - 5*j. Let r be w\/(-6)*-2*(-5 - -2). Solve -3*a + 5*a + r = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 632 + -363. Let n = 271 - c. Solve h + n = 0, h = t - 2*t - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**4 - 276*u + 1574 wrt u.\nAnswer: -4*u**3 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13169880 divided by 6\nAnswer: 2194980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 - 209a33a?\nAnswer: -209a35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8 = 5*p, -5*b + 5*p = -0*p - 30. Let c(i) = 2*i**2 - 2*i - 18. Let o be c(b). Which is smaller: 203 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2 + (0 + 2 - 1)*(2 - 4 + 1) - 4 + 2 + 4 - 3 + 2 - 1 + (0 - 3 + 1)*(5 - 3 - 1))*(37*w - 37*w - 11*w**3).\nAnswer: 55*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-5) + -1*(2 - 5). Suppose o + c*o + 5*l = 145, -2*l = 3*o - 148. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -475*t**6\/6 - 320*t**2 + 210*t - 5. Differentiate q(z) with respect to z.\nAnswer: -9500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5453524 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1)*(-8)\/(-24). Suppose 4*x + 2*o = 30, p*x - 2*o + 20 = 2*x. Suppose 0*h = -4*h + 5*w + 81, -3*w + 55 = x*h. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30399*o**2 - 47954*o wrt o?\nAnswer: -60798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 17494586.\nAnswer: 17494586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from erhnt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32407005403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**2*p*q + 316*m*p - m*q - 5*p - 29*q wrt m?\nAnswer: 2*m*p*q + 316*p - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 156.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 21 + -28 - (0 + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - (6\/75)\/((-3)\/(-30)) and 19\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*s + j, -4*s - j = j - 40. Find w, given that -52*w**5 - s*w**2 + 0*w**3 + 10*w**4 + 5*w + 0*w**3 + 47*w**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4 = -1, 3*l + 27 = 4*r. Let f(x) = -2*x**2 + 2*x - 7. Let p(b) = 2*b**2 - 2*b + 6. What is r*p(q) + 5*f(q)?\nAnswer: 2*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 7*s**2 + 6*s + 28. What is y(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -112.9? (a) -1\/5 (b) 9 (c) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 24 = 17*m - f, f = 4*m - 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8e + 9cd?\nAnswer: 93f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 9*a + 133. Let i be z(8). Put 0, 1, i, -22 in descending order.\nAnswer: 1, 0, i, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 155489, 310977, 466465, 621953?\n\"Answer: 155488*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -2*j. Let f be ((-26)\/(-4))\/(j*5\/(-10)). Is f greater than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -31*w**6\/40 + w**4\/3 - 7*w**3\/6 + 23*w**2. Find the second derivative of a(q) wrt q.\nAnswer: -558*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131.8 - -148. Let t = o + -15. Let i = 0.8 - t. Which is the second biggest value? (a) 0 (b) i (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-59246)\/(-286) - (-4)\/(-26). Suppose 10*t - t = o. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 733533 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: Is 197429371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -5*o**8\/336 - o**5\/12 + 3*o**2. What is the third derivative of s(w) wrt w?\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285794, 1143460, 2572902, 4574120, 7147114, 10291884, 14008430?\nAnswer: 18296752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microsecond in nanoseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -950449 and 73298.\nAnswer: -877151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/22*(1067\/1455)\/(2\/(-6))*5.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*p + 5*s, 129*p = 126*p + 3*s - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50.3821 and -17.\nAnswer: 856.4957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(3\/4)*j*j*j*j*j))\/(((j**(2\/15)\/j)\/j)\/j))\/(j**(-2\/3)\/(j\/(j*j*j*j**(2\/3)\/j))) assuming j is positive.\nAnswer: j**(-173\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 13*b + b**3 - 4*b**2 - 4*b - 7*b. Suppose o = -4*o + 15. Calculate f(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 9*z - 5. Let p be q(8). Let s(x) = -2*x + 1 - p*x + 7*x. Determine s(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2661457*q**2 + 4367001?\nAnswer: 5322914*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*3\/(-6)*-1. Let v be (-70)\/(j*3\/3). Let q = 76 + v. Which is the second smallest value? (a) q (b) -1 (c) -5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1782990 and 1320?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 40 = 4*y. Let h = y - 87. Let z = -21 - h. What is the remainder when z is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 8486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002148117432 rounded to seven decimal places?\nAnswer: 0.0002148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8219 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24191*u**2 + 7*u - 116.\nAnswer: -48382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6656773?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 864 divided by -96?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -4, 5, -2\/17.\nAnswer: -4, -1\/3, -2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 86 = 5*r, -6*p + 6*r - 82 = -9*p + 2*r - 0*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44838628.44999903 - -44838628. Let d = -0.01 - -0.46. Let i = d + s. Round i to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 7676?\nAnswer: 191900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200533?\nAnswer: 127, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 337 = 5*q, 3*q = -5*m + 237 - 50. What is the remainder when 796 is divided by q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -11. Suppose 5*z - 12375 = -5*w, -9381 = -r*z + 2*w + 537. Factor g - 2478 + z + g**2.\nAnswer: g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*785.\nAnswer: -109.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 4. Let x be o(-12). Let y(s) = -s**2 - 5*s + 26. Let a be y(x). Put a, 0.5, 2\/9, 3\/7 in decreasing order.\nAnswer: a, 0.5, 3\/7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8726 - -1.1274. Which is the second smallest value? (a) 2\/77 (b) -0.6 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47485841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -613137*y**2 - 450261*y + 1?\nAnswer: -1226274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -652.9143.\nAnswer: -1305.8286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282109 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 1282*t + 4 = 1280*t, 10 = 5*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1989 is divided by 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131281515.\nAnswer: 3, 5, 83, 35149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1846403 is divided by 615408.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2635 - -2634.6. Let n be (-4)\/(-2) - 0 - 0. Which is the third biggest value? (a) j (b) 3\/17 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from {y: 1, o: 2, b: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -14*u**4 - u**3 + u**2 + 5*u + 46. What are the prime factors of h(-2)?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 - 143*x**2\/5 + 283*x\/5 - 141\/5.\nAnswer: (x - 141)*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754*l = 1546*l + 135805 - 34605 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38792 and 208.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2364610635 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -299 - -301. Solve o - k*o - 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/5, 16\/57, -2\/7, 4 in increasing order.\nAnswer: -2\/5, -2\/7, 16\/57, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77773 is divided by 197.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-30))\/(-1)*(-12)\/6\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 2:17 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -2 (c) 4\/9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 546a0 (base 11) in base 12?\nAnswer: 39b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3783118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -13*x + 6. Let l be h(-6). Suppose 0*f + l = 4*f. Let p = 41 - f. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a century in years?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22968246 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-10 + 2177\/217)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7147951 is divided by 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 607\/3 - 204. Which is the second smallest value? (a) 0.6 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99\/(-33)*(-3)\/15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 60, 3\/11, -0.1, -1, 0.24, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 + 17 = 0. Suppose -q = 2*n - 23. Calculate the least common multiple of n and -3 + (5 - (4 + -8)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 2, b: 1, r: 1}. What is prob of sequence jb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s**2 - 21*s**2 + 49*s**2 - 13*s**2 - 14*s**2.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10572022 and -3?\nAnswer: 10572025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 1, 4578, 2, -4, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 351\/(-15)) + -1. Let b(n) = 2*n**3 - 3*n**2 - 2*n - 1. Let t be b(3). Let x = t - m. Is x <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958038031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 14. Suppose 3*t = 4*k + 36, -4*k = 4*t + 8 - z. Let g(x) = x - 7. What is g(k)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 13. Suppose -3*z + o = -5*y, -4*z + 14 + 0 = 2*y. Suppose -x - z*x + 484 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*y**4 - 91*y**3 - 82*y**3 - 40*y**3 + 162*y**2 + 45*y**3 + 165*y**5 + 3*y + 27*y**4 = 0.\nAnswer: -1, -1\/55, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -44. Calculate the remainder when 88 is divided by (-252)\/t*(-6)\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2364474?\nAnswer: 2, 3, 7, 19, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.658 - 0.542. What is the third biggest value in 0, 10, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eppe when four letters picked without replacement from ppeppppppppppppeppp?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4. Let l(s) = s + 8. Let f(u) = 7*k(u) + 3*l(u). Let w(p) = p. Let i(n) = -f(n) + 4*w(n). What is i(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvm when three letters picked without replacement from {s: 1, m: 2, v: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 2}. Give prob of sequence nj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-21))\/((-96)\/528)*14\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 10, -4*c - 4*a = -21 - 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -5*b - 21. Solve 3*x = 5 + b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 3\/5 - 64\/(-40). Let u be 1\/(2\/10)*2\/x. Solve u*g = -0*g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/204 and 49\/72.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 - 1415460?\nAnswer: -1415444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -3\/8*s**4 - 1\/120*s**6 + 0*s + 3\/20*s**5 + 0*s**3 + 3*s**2 + 0. Is 10 a factor of h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2. Let c(h) be the first derivative of -9*h**2\/2 + h - 133. Give o(c(n)).\nAnswer: -243*n**2 + 54*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 21 = x - 4*x, 5*x - 15 = -5*a. Suppose 2*k = j + 4, -x*j - 13 = 3*k - 58. Let q be (6\/(-45))\/((-16)\/j). Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60011 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2. Let h(k) = k**2 - 16. Let j(t) = 8*c(t) + h(t). Let i(n) be the third derivative of n**4\/12 - 65*n**3\/6 - 2*n**2. What is i(j(y))?\nAnswer: 2*y**2 - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -4, 3\/7, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9628 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255 divided by -5?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 - 3)*(2 + 2 - 2) + 0 + 1 + 1 - 2 - 4 + 4 - 3 + 3 + 1)*(-11*w - 8*w + 3*w)*(-1 + 2 + 0).\nAnswer: 48*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21786 + 9.\nAnswer: 21795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**3 + 19*h - 19*h - 21*h**3.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 907*l + 1065*l - 2678*l + 994*l in the form b + k*l and give k.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqwfwyw. What is prob of picking 1 w and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30246 by -3.\nAnswer: -10082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/3 - 16*s**2\/3 + 80*s.\nAnswer: -4*s*(s - 6)*(s + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162*h**4*l**2 + 11*h**3 - 36*h**2*l - 339*l**2 wrt h?\nAnswer: -3888*h*l**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/4 - 11*h**3\/3 - 2*h**2 - 51*h + 60. What is the units digit of m(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q + q)*(-4*q**2 + 4*q**2 - q**3) + 3*q**3 - 17741*q**4 + 17733*q**4 + 17*q**3.\nAnswer: -6*q**4 + 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 436*c - 2215. Give r(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119032*h**3 - 151790*h**3 - 183889*h**3.\nAnswer: -454711*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 240592478 to the power of 1\/2, to the nearest integer?\nAnswer: 15511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*c = -20, 3*c - 260 = 5*i - 245 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185733297773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99339c (base 14) to base 5.\nAnswer: -2312220433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*o**2*q + 4*o**2*y - q*y - 2*q - 39*y with respect to q.\nAnswer: -15*o**2 - y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063 times -170.416?\nAnswer: 10.736208","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 5\/9*h**3 - 13\/6*h**2 - 2*h - 9. Factor z(r).\nAnswer: (r - 3)*(5*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58123 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 3*c. Let t be z(3). Suppose 0 = -t*l - 3*l - 3. Let n be 0*l\/6*-3. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -914 = -302*i - 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/7 + 166*b**2\/7 + 1296*b\/7 - 3240\/7.\nAnswer: -2*(b - 90)*(b - 2)*(b + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26 - 16.26. Let d = 14 + r. Sort 2\/17, d, 0.1.\nAnswer: d, 0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q + 4*q + 243. Let a = -7699 + 7767. What is the remainder when a is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 800603.\nAnswer: 19, 29, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4e (base 16) in base 6?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1355.8565 take away 14443060?\nAnswer: -14444415.8565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*i + 98*i = 6. Let b = 26\/5 + -239\/45. What is the nearest to i in 1\/4, b, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t*t\/t**(-9)*t)**50*(t**(4\/15)\/t)\/(t*t**(-4\/9)) assuming t is positive.\nAnswer: t**(33692\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49444153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + o - 255, 0 = 3*i + 2*o - 252 - 6. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42244 - 42205. Which is the closest to -0.1? (a) 5 (b) -1 (c) -7 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*i - 9121 + 7047 - 39938 = 0 for i.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {d: 1, b: 1, j: 6, o: 8}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/72 and -91\/90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 438, -1, 0, -5, 5, -3.\nAnswer: -5, -3, -1, 0, 5, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 5 - 2 + 5 + 0 + 4.\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 3. Suppose z*d = 21 - 49. Let u be (3\/9)\/(d\/3). Which is the biggest value? (a) -1 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1379 and -3.8.\nAnswer: -5240.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 158042\/(-20795)*(-5)\/8.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*((-18)\/224)\/(438\/3577).\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q = -20. Solve -q*o - 2*w - 21 = -3*w, -2*o + w - 13 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -131, -164?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x = -9. Solve -3*k + 6 = -2*j - 4*k, 2*k - x = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2.3. Let i = -17.541 + 17.441. What is the closest to i in -4\/5, l, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)*x)**(1\/3)*x*(x**(-2\/21)*x)\/x*x\/x**(-4\/7)*((x*x**(-1)*x*x)\/x)**(-4)*(x**(-3)*x)\/((x*x*x**5*x)\/x) assuming x is positive.\nAnswer: x**(-1084\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 2, e: 1}. What is prob of sequence ef?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 29835*g**2 - g. Let s be y(-1). Let i = 44736 - s. What is i rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.3, -1, -21, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 7*s**4\/3 + s**3\/6 + s**2 - 6*s. Let r be u(-2). Let l = 131 - r. Calculate the remainder when l is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 - 2*p**2 - 2*p + 3. Let c be q(2). Find the first derivative of -14 + 6*r**2 + c - 11 wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9116 is divided by 1371.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435293 is divided by 54386?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + -0.3. Let u be -2*6\/8*(-1578)\/18. Let d = u - 132. Sort -0.07, d, 3\/7, q.\nAnswer: d, -0.07, q, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -5852?\nAnswer: 5848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -22211111?\nAnswer: -22211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 14 + 9 - o + 9 to u*o + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1912\/18 + 9\/(81\/(-2)).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6*x + 124. Suppose -5*l + 3*l + 94 = 0. Let u = l - x. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + 1.36. Let k = i + -1.7. Let j = -0.23 + 0.33. Which is the closest to 0? (a) j (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(2 + -1)*-3. Let l be ((-6)\/d)\/((-2)\/(-9)). Solve 2*y = k - l, -3*k = -y + 4 + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.10298 rounded to 0 decimal places?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 34 = 2*j, 0*m - 7*m + j + 32 = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1862 and 98.\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i\/i**(-2))*i))**11*i**(4\/7)*i*(i**(-2\/3)*i)\/i assuming i is positive.\nAnswer: i**(712\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09183035 rounded to 4 decimal places?\nAnswer: -0.0918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*o + 116*o - 6210 = 0. List the prime factors of o.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-2 - -16) + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**2. Suppose 3*c + j - 8 = 0, -3*c - 11 = c - 3*j. Let d be -1 - (1 + c + -8). Let k(u) = -d + 5 + u. What is k(i(q))?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2\/(-270)*-113 + 702\/(-18954).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000200573 to seven decimal places.\nAnswer: 0.0000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1736*s**2 + 2. Let w(z) = -7384*z. What is u(w(a))?\nAnswer: 94652719616*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 200.196*0.1\nAnswer: 20.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 - 4*q**3 + q**3 + (-q + 0*q + 2*q)*(-6*q**2 + 0*q**2 + 2*q**2) + q**3 + 1 - 1 + (14*q - 14*q - 14*q**2)*(-1 + 0 + 0 - 2*q).\nAnswer: 24*q**3 + 14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:44 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(sqrt(117) + sqrt(117) + sqrt(117)*1 + sqrt(117)) - 1*sqrt(117)*2)\/(-2*sqrt(81) + sqrt(9) - (sqrt(9) - (-1*sqrt(9) + sqrt(9)))*5).\nAnswer: -2 + 9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 1. Let w = 495.7 + -496. What is the nearest to 0.1 in w, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14864269 and 239459?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573) + 1)*-3 + sqrt(1573))*4 - (-1*(sqrt(1573) + -1 + sqrt(1573)) + sqrt(1573) - -3*-1*sqrt(1573)))**2.\nAnswer: 1144*sqrt(13) + 25337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 3, 1473, 4, 1\/6.\nAnswer: 1\/6, 3, 4, 37, 1473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9316*t - 9316*t - 32 + 111*t**6 - t**2 wrt t.\nAnswer: 13320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + -2.5. What is the nearest to 0 in c, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 - 15709*q + 15705*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 591*b + 1194.\nAnswer: -3*(b - 2)*(b + 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1175*t + 13. Let a be n(2). Suppose 9421 = 8*v - a. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = v, 5*f = -v + 2*v + 15. Let i(g) = 2*g**2 + 0*g**2 - 2 - g - 2*g**f + g**3. Give i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlj when three letters picked without replacement from {l: 1, j: 3, u: 1, x: 5, t: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 3*b**2 + 8*b + 4. Let v be l(-5). Suppose -3*s - 44 = -4*k, -s + 4*s - 26 = -k. Let a(m) = -v + k + 2*m**2. Let h(r) = -3*r**2. Give h(a(d)).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/59 or 1?\nAnswer: 12\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, s: 2, p: 1, b: 3, l: 12}. What is prob of sequence lp?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/12 - (-1 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124011414 (base 5) in base 6?\nAnswer: -21025054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {p: 4, j: 3, f: 2, a: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8*v = q - 1634, 2*q = 2*v - 644. Calculate the remainder when v is divided by 111.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**3*v + 2*g**3 + 91*g*v - 8*g - 47*v - 39 wrt g?\nAnswer: -6*g**2*v + 6*g**2 + 91*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 108, 182, 256?\n\"Answer: 74*q + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 643721?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 18 + 6 = 4*r, 2*r - 13 = -3*h. Let v be (h\/(-3))\/(1\/15). Let f = -9 - -4. Is f > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 956757973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 3*i**2 + 3*i + 4. Let j be a(4). Suppose 0 = 4*c - s - 0*s - 7063, -3*c - 5*s + 5280 = j. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89 - -47 - -29) + -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:58 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 56. Which is the closest to 1? (a) t (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-361)\/19 - 42\/896*1916\/(-18)\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.2 + -2.2. Let k = -5\/21 - -4\/7. Which is the closest to -0.1? (a) k (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 12*p**2 + 2*p + 8. Let y be i(12). Suppose -2*x - y = -2*s - 7*x, 0 = 5*s + 4*x - 63. Calculate the remainder when 19 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/18 and 4\/(-5)*51\/(-72)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-12)*(-4)\/(-3). Suppose a*f = 6*f - 28. Suppose 5*i - 33 = f. Solve -4*m = -2*m - i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21923753 + 21923754.00000056. Let b = -1 + f. Round b to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16551142 - 2?\nAnswer: 16551140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*q - 10, q + 8 = 4*i - 3*q. Suppose -2 - 1 = -y. Suppose -4*t = t + 10. Put y, t, i in decreasing order.\nAnswer: y, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001063884 rounded to six decimal places?\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpiplbpbppycpbpyyppc. What is prob of picking 1 b and 1 l?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*g**2 - 61*g**2 + 5*g - 3*g**3 - 43*g**2 to the form k*g + f*g**2 + c + v*g**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 37*m**2 + 33*m - 107. What is the remainder when i(-38) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + r + 2*r)*(14 - 9 - 12) + r - 2*r + 0*r + (0*r - r + 2*r)*(-1 + 2 + 0) + 1 - 2*r - 1 in the form k + a*r and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00951 times 3?\nAnswer: 0.02853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3822140 divided by -92\nAnswer: -41545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -19*o + 67 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 18, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/((-16)\/12 + 1). Suppose 61 = 3*z + s, 5*s = -2*z + 7 + t. Let i = 24 - -71. Calculate the greatest common divisor of i and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -145*t + 131*t + 88 + 10 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 5 (b) -1 (c) 0.5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -4. Let u be -1 - (2 + -1)*h. Suppose u = -j - 2 + 1. Let t(m) = 1. Let z(n) = -2*n + 4. Give j*z(f) + 3*t(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = -5*n. Let y be 24*-2*1\/n. Let h = 18 + y. Solve o = 1 + h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 33*t - 223. Determine g(39).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1389694 divided by 694847?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 13*j**2 - j - 11. Let k be a(-13). Let d(c) = c**3 - c + 1. Let n(u) = 7*u**3 - 8*u + 7. Let s(r) = 5*d(r) - n(r). Give s(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - i - i)*(0 - i + 0) + 555*i**2 - 1165*i**2 + 527*i**2 to k*i**2 + n*i + w and give k.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 10:06 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 7, 28 in ascending order.\nAnswer: -20, 7, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -87363782 to the nearest one million.\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 213, -51, -5, -3, 23 in decreasing order.\nAnswer: 213, 23, 0.1, -3, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m - 24*m + 15*m.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*f + 16 = 0, 4*n - 5048 + 5045 = -f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/8 and -121\/762.\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 475*l**2 + 4759*l + 186. Give k(-10).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2*(-66)\/7095)\/(7*(-9)\/(-105))?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**3 - 4*m**2 - 6*m. Let b(l) = 5*l**3 - 4*l**2 - 5*l. Calculate 7*b(f) - 6*x(f).\nAnswer: -f**3 - 4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.83 - 1.7. Let v = -0.03 + p. Suppose -2*d - 4*m = -6, -2*d = 3*d - 4*m - 15. What is the closest to 0.2 in v, 0.4, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8044 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (92 - (1 + 2)). Let o = -29 - u. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 188 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 54312610.\nAnswer: 54312610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 151.27, -7, 0.1?\nAnswer: 151.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 21*h + 19*h + 1 - 4*h**3 - 6*h**2 - 42*h. Let n(v) = 3*v**3 + 6*v**2 + 2*v - 1. Let k(a) = -2*f(a) - 3*n(a). Is k(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 8*w**2 - 6*w - 5. Let o be i(9). Let x be ((-4)\/(-5))\/(o\/55). Suppose 5*n + 130 = x*v, -3*v - 283 = -8*v + 2*n. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48391.9 to the nearest one hundred.\nAnswer: -48400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7.1. Let j = 2 - 2. Which is the nearest to i? (a) -2\/5 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 303 = 57. Let h be 160\/(-100)*y\/4. What is the highest common divisor of 63 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 11:54 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y. Let o be k(1). Suppose 0 = o*v - 3*v + 9. Solve 0 = -2*g + 4*q - 19 - v, -q = -3*g - 17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12802484809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from pmn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-2)*m))\/(m\/(m*m\/(m*m*(m**(1\/24)\/m*m*m)\/m*m)))*((m\/(m*m*m\/(m**(1\/3)*m)))\/m)\/m**(-8) assuming m is positive.\nAnswer: m**(151\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p + 0*p)*(p - 3 + 3)*(80 - 30 - 7).\nAnswer: 43*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0788765cm?\nAnswer: 788.765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/427466 and -143\/1150870.\nAnswer: 14961310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142566.\nAnswer: 2, 3, 23761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.95056 less than 173147?\nAnswer: 173097.04944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(0\/(-1) - (-1 + 3)). Is 3\/22 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c + 115. Give a(18).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1812.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01562, 122, 12 in decreasing order.\nAnswer: 122, 12, -0.01562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 13 = -23 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*c = 293*c + 506. Let o = c + 292. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 733166 and -0.4?\nAnswer: -293266.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53695 rounded to two dps?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 6*x**2 - 2*x**2)*(x - x + x) + 3*x**3 + 2*x**3 - 4*x**3 + 604*x**3 + 483*x**3 - 1887*x**3.\nAnswer: -797*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -3, 130, -9 in decreasing order.\nAnswer: 130, -3, -9, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 3*t + 7. Let r be d(3). Suppose -r*p + 21*p = 20. Suppose -p*w = -5*v - 128, 2*v - 85 = -3*w + 11. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (68 - 27) + -16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215 - -213. What is the common denominator of ((-27)\/6)\/((-6)\/64) and -2*(-2)\/48*(f - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7587778327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4046*i**2 - 3*i + 2. Is r(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) 0.36 (c) 3\/56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -490*h - 6864. Calculate s(-15).\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 2*t + 21. Let c be (12\/10)\/(4 + 152\/(-40)). Calculate q(c).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 6*i**2 - 4 + 0*i**2.\nAnswer: -3*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2672, -2676, -2682, -2690?\n\"Answer: -i**2 - i - 2670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -537*y**5 + 3*y**3 + 16*y - 17 wrt y?\nAnswer: -10740*y**3 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5 + 15. Let y be (1 - 1\/2)*s. Is (y - 0)*409\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11730363, 23460729, 35191095, 46921461?\nAnswer: 58651827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 10 (c) 1\/4 (d) 4\/5 (e) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 595962?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.98 - -0.9. Round f to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 4*d - 72, -5*d + 33 + 35 - 8 = -3*t - 12 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6977163 divided by -95.\nAnswer: 6977163\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 - 2*q**3 - 2*q**3)*(0*q**2 + 2*q**2 - 4*q**2) + 33*q**5 + 2*q**4 - 139*q**5 - 425*q**5 - q**3 - q.\nAnswer: -533*q**5 + 2*q**4 - q**3 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**3 + k**2 - 9*k + 10. Give y(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 - 2. Let c = 1371 - 1372. Let p = 1.06 - 0.06. What is the nearest to c in p, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30950 to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724*w**2 - 3447*w + 3447*w.\nAnswer: -724*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -125. Let v be 3\/(-15) + f\/25. Suppose -11*h = -v*h - 36. Solve h*d + 20 = -0*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45756 and 8928?\nAnswer: 366048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43647 - 1920283\/44. Let p = -37\/88 - u. What is the common denominator of 55\/7 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {o: 3, q: 3, v: 2, y: 3, z: 1, e: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*b**4 - 14 + 23 - 8 - 2*b**3 as m*b**3 + p*b**2 + j*b + a*b**4 + s and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 2. Let j be m(9). Suppose h - 7 = 2*n - 0*h, -n + 4*h - j = 0. What is the common denominator of (-190)\/4 - n\/1 and 47\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*x - 3*x + 5*x)*(0*x - x - x) - 2*x**2 + 4*x - 4*x)*(4 - 6 + 4) - 2*x**2 - x**2 + 5*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24004 - 24053. Which is the second smallest value? (a) 7.2 (b) -1\/6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/161 - (8 - 6\/7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 - 90.9. Suppose -5*i - 19 = -14. Let d be (-30)\/3*i\/(-2). Put -3, r, d in descending order.\nAnswer: r, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 921712135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 3:40 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*r - 4*x + 53, r + 2 = 2*r + x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2*3)\/(13\/(156\/(-18)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -236397197 times 0.1\nAnswer: -23639719.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/4602 and 37\/156.\nAnswer: 9204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + 1)*-2 + 3 - 6*((-1*-2*sqrt(363) - sqrt(363)) + sqrt(363) - sqrt(363)))**2.\nAnswer: -176*sqrt(3) + 23233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 12:53 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228000\/(-225))\/152*60\/25?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 540 + 45 = 0. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28376342009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -699 + -1111?\nAnswer: -17aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 14*p**2. Let s(n) = 2*n + 9*n - 3*n - 5*n - 2*n. Give s(g(a)).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 165.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(24)\/sqrt(2)) + (sqrt(245) - 3*sqrt(245)).\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5430\/23 or -235?\nAnswer: -5430\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/7 (b) -5\/8 (c) -11770\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 8, -0.2, 44, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2731 - 3*t + 12*t + 2734 - 4*t.\nAnswer: 5*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1378*m**3 - 1730*m**3 - 1127*m**3.\nAnswer: -1479*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -18. Let h be ((-2)\/y)\/(10\/(-80)). Suppose 5*x = w - h*w + 10, -w + 3 = 2*x. Solve -4*t - t = w*d, 0 = 4*t + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2792 - 2850. Which is the third biggest value? (a) -3\/7 (b) g (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2 - 2)*(2*t**3 - 2*t**3 + 2*t**3) + 3*t**4 - 5*t**4 + t**4 - 2*t**3 + 2*t**3 - 2*t**4 + 2*t**4 - t**4 - 2*t**4 + 3*t**4 + t**4 - 5*t**4.\nAnswer: -11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 144735410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 + -0.08. Let p be 5\/(-3)*4\/(-5). What is the smallest value in -5, p, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 15.5. Let a = 6.3 + -6. What is the second biggest value in k, a, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -59*k + 63. Let y be t(1). Suppose 0 = -y*q + 4, -16*o - 3*q = -14*o - 1255. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**4 + 432*f**3 + 16508*f**2 + 76848*f - 33408 = 0. Calculate f.\nAnswer: -24, -6, 2\/5, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 33931, -5 in decreasing order.\nAnswer: 33931, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 f when three letters picked without replacement from {f: 3, q: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 547 or 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p + 524 - 524 + (-3 - 2 + 3)*(2 - 2 - 2*p).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 358125 or 358151?\nAnswer: 358125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -29*w**7\/7 - w**5 - 17*w**3 - 57. What is the third derivative of g(z) wrt z?\nAnswer: -3480*z**3 - 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12 + (-19)\/19 + 12. Which is the fourth biggest value? (a) o (b) -0.03 (c) -8 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -4. Suppose k - 13 = -36. Let a = k - -34. What is the least common multiple of y and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1524709229619?\nAnswer: -1524709229623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u = 25*u - 48. Let c = -18 + u. Let f(t) = 14*t**2 - 8*t + 1. Is f(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -60.7. Let b = 7 + x. Let v = -0.5 + b. Is -1 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3969300819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.417 - 0.4. Let i = n + 12.483. Round i to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 39 + 24 - 19 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.7 - -0.3. Let d = g + -8.5. Let w = d - -2.499938. What is w rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1037 from 133682.541.\nAnswer: 134719.541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 5626.\nAnswer: 5625.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 2351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/4 of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfff when four letters picked without replacement from {d: 6, f: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = 0. Let y be (-1*(1 + 0))\/(72\/504). Put -1, y, b in decreasing order.\nAnswer: b, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/2 + 73*p**3 - 2541*p**2\/2 - 17712*p = 0. Calculate p.\nAnswer: -9, 0, 32, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1917*2.\nAnswer: 3834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n)**43\/((n\/((n*n\/n**(-1\/3)*n)\/n))\/n**3)*(n*n*n**(-1\/3)\/n*n*n*n**(-3)*n*n*n)**(-13) assuming n is positive.\nAnswer: n**(167\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.8 + -7.6. Let n = 42 + -47. Let w = 4.6 + n. What is the biggest value in 0, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25295.\nAnswer: 5, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 5, 12 in increasing order.\nAnswer: -54, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 104. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 843770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from gccmccgcgg?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1738, -1853, -1962, -2071, -2186, -2313, -2458?\n\"Answer: -x**3 + 9*x**2 - 135*x - 1611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6*5\/10)\/(15\/40))\/6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Suppose 0 = -4*p - 4*m - 15 - 29, -4 = m. Suppose -22 = d - 4*q, -8*d = -2*d + 5*q - 13. Put d, c, p, 4 in decreasing order.\nAnswer: 4, c, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 6:34 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 - (26 + -17).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 55 - 138 + 6*k**2 + 1989.\nAnswer: 7*k**2 + 1906","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35*c**2 - 8*c**2 + 3*c**2)*(1 - 3 + 1) + (0 - 2 - 1)*(-2*c**2 + c**2 + 2*c**2) to x + m*c**2 + p*c and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3038313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 56\/6 + 35\/(-5). Which is the nearest to 0? (a) z (b) -0.2 (c) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9)*9\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33024 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 3867. Suppose -12*o + 1569 = -g. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 0*x - 2*x)*(15*x**2 - 9*x - 23*x**2 + 10*x**2).\nAnswer: 4*x**3 - 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389*m - 419 = 388*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -311, -718, -1299, -2060, -3007, -4146, -5483?\nAnswer: -7024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*j - 93*j + 316. Calculate the greatest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*a + 12. Let x(z) be the third derivative of -z**4\/8 + z**3\/6 + z**2. Give x(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -33. What is the remainder when 49 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 12. Calculate the remainder when (-10)\/4*28\/10 - -20 is divided by y(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**5\/20 - 2*v**4 + v**3\/6 + 12*v**2 + 3*v + 18. Let t be u(-24). Let h = -55 - -50. Put 5, t, -4, h in increasing order.\nAnswer: h, -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j - 1. Let i be o(2). Suppose 0*v = -i*v - 153. Let q = -7 - v. Calculate the greatest common divisor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4587 = 10614. Suppose -l - 49 = a - c, 4*l = 2*a - 3304. List the prime factors of a.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*c + 134 = 0, 2*r - 5*r = 4*c + 63. Let t = -49\/2 - r. What is the third smallest value in -3\/7, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 30 = 6*v. Let f(k) = 18*k**3 - 8*k**3 + 4*k**2 - 9*k**3 - v*k - 3. Give f(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 - 3*v**4 + 3*v**4 - v - 6*v**3 - v as k + g*v**4 + u*v**3 + w*v**2 + o*v and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 3971 - 4025 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1030?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 49*n**2 - 266*n + 202. Give a(-54).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 - -61. Suppose -4*x - 8 = -4*v, 5*v - 17 = z*x - 5. Solve 16 = -3*q + v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 10*v - 3. Let p be h(7). Suppose 0 = -w + 4*z + 4249, -p*w = -13*w - 5*z - 21200. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (2 + -21 - (-55 - 0)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8187a (base 11) in base 15?\nAnswer: 25629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.34 + 3.66. Let b = -2\/63 + -16\/63. What is the nearest to b in -7, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2130*q**2 - 26*q + 19880?\nAnswer: -4260*q - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yie when three letters picked without replacement from {i: 1, y: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74772 by -6.\nAnswer: 12462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*o + 2109 = 67*o. What are the prime factors of o?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22119 + -22118.6. Sort -2\/15, -2, -31, 0.2, m in ascending order.\nAnswer: -31, -2, -2\/15, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304696229 to the power of 1\/2, to the nearest integer?\nAnswer: 17456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + b - 6*b = 0, -a = 3*b - 12. Find the common denominator of (-22)\/16*-1*a and 109\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**2 + 0*h**3 + 0 + 2\/3*h**5 + 11*h - 5\/2*h**4 - 1\/24*h**6. Let m(r) be the first derivative of x(r). Factor m(z).\nAnswer: -5*z*(z - 6)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 17. Let l be q(0). Suppose 27 + 7 = l*c. Solve -c*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 649 and 1829?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4 - 1\/(-2). Let i be 2 + 1 - 6\/(-2). Find the third derivative of 0*h**i + 0*h**2 - 2*h**r - 2*h**6 wrt h.\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, -5\/2, -5, 0.3.\nAnswer: -5, -5\/2, 0.3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkkvttrrrk. Give prob of picking 1 t, 1 v, and 2 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1648 - 4*i**3 - 5*i**2 - 3302 + 2*i + 1700 as r*i + p*i**3 + g*i**2 + z and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4 = -b, -k = -9707 + 9715 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -97*a**4 - 13*a**2 - 1209*a + 11. Let j(z) = 49*z**4 + 7*z**2 + 604*z - 6. Let d(k) = 11*j(k) + 6*v(k). Find the second derivative of d(u) wrt u.\nAnswer: -516*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -424490*b + 848983. Calculate z(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 53*h - 21. Determine b(-2).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.837 and 0.5.\nAnswer: -1.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -24. Let s = h + -25. Sort -0.2, -5\/2, s in ascending order.\nAnswer: -5\/2, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-5)*(-2)\/176*1030 and -25\/82?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28\/31 - 72\/217. Let w = 0.4 - 0.1. Let y = -0.4 - -0.9. Which is the third smallest value? (a) w (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325387840.\nAnswer: 2, 5, 659, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(32) - sqrt(2))*5 + 5*(sqrt(24) + sqrt(120)\/sqrt(5)*3)\/sqrt(12) + 3)**2.\nAnswer: -420*sqrt(2) + 9809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -117, -139, -181, -249, -349, -487?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2*a**3\/3 - 3640*a**2 - 6624800*a + 3566. Factor u(c).\nAnswer: -2*(c + 1820)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2026 + -2006. Solve 14*q + p = -8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 0, -10, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/6)\/(1\/10). Suppose 2*a - z*a = -12. Calculate the remainder when 1*4*3\/2 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 200128824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12408 is divided by 107.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 2:55 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z**2 - 8*z + 8*z)*(-2*z + 0*z + z) - 3*z**3 - 32*z**3 - z**3 as s*z**2 + a*z**3 + c*z + y and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (181*k + 1 - 371*k + 176*k)*(27*k**3 + 6*k - 6*k) - k**4 + 2*k - 2*k.\nAnswer: -379*k**4 + 27*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 78?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797793213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11456*w**3 + 6206*w**2 + 6. Let a(t) = -28641*t**3 + 15518*t**2 + 15. Let b(v) = -5*a(v) + 13*z(v). Find the third derivative of b(c) wrt c.\nAnswer: -34338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667*d + 345*d - 38598000 = -343*d. What is d rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-3))\/((-18)\/54)*-2179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 386*t**2*z**4 - 141*t**2*z**3 - 25*t**2*z - 776*t*z wrt z.\nAnswer: 4632*t**2*z**2 - 846*t**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * -7\nAnswer: -7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.569 - -0.031. Let r = w - 15.5999917. What is r rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -11*m - 15. Let d(g) = g**3 - 29*g**2 + 101*g - 34. Let j be d(25). What is the lowest common multiple of 36 and u(j)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**5\/120 + o**4\/24 + 2*o**3\/3 - 4. Let x(k) be the third derivative of w(k). What is x(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i - i - 3 + 3. Let p(l) be the first derivative of l**5\/30 - 3*l**2\/2 - 2. Let h(d) be the second derivative of p(d). Determine w(h(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 + 7 = 0. Find the third derivative of -14*n**t - 18*n**5 + 12*n**2 - 44*n**2 + 3*n**5 wrt n.\nAnswer: -1740*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5619919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -552800, -1105718, -1658636, -2211554?\nAnswer: -2764472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33957 by 33.\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from qhccqcxcuxut.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -429, -643, -855, -1065, -1273, -1479?\nAnswer: -1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -3*n + 10, -3*a - 41 + 64 = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orbcbchorccobb. Give prob of picking 1 c, 1 r, and 1 h.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 445 - 393. Solve -37*a = -63*a + q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 2. Let c be m(2). Solve -2*v - 9 = 5*l, -c*v + 1 = 2*l - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 203\/4290990 and 129\/2860660.\nAnswer: 8581980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)\/(m*m\/m**(3\/4)))\/(m*m\/(m**(-2\/13)*m*m)*m*m**(-2)*m)*(m**45)**(3\/11) assuming m is positive.\nAnswer: m**(18079\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -11974 + 11444. Which is the nearest to -2\/3? (a) r (b) -2 (c) 2\/11 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, -5, -1, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8489357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -274\/5 - -55. What is the nearest to 6 in -2\/7, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288, 218, 148, 78, 8?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 + t**2 + 3*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tepm when four letters picked without replacement from tmppe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/6)\/(5\/(-45)). Suppose o*s + 40 = 7*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3, 28\/15, 3, 8?\nAnswer: 28\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 9 - 2)*(30 + 7*y**5 - 30) + 4*y**5 + 275*y**4 - 275*y**4 - 1.\nAnswer: 109*y**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-4)\/z*z)\/((z**(-2\/5)\/z)\/z*z))\/(z**(1\/4))**(2\/21))**(-28) assuming z is positive.\nAnswer: z**(1102\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3. What is g(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/6 + 376823*o\/6 - 942070\/3.\nAnswer: (o - 5)*(o + 376828)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65172852*x**2 - 12598050 with respect to x.\nAnswer: 130345704*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f. What is the tens digit of t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (56\/16 + (-52)\/13)\/(3\/(-107544)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/13048 and 41\/224.\nAnswer: 52192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6.00000015. What is y rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -207 + 216. Is (3 - b)*52\/(-6) + -3 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -605143, -605144, -605145, -605146, -605147, -605148?\nAnswer: -605149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - u + 8. Let b be t(0). Let p(y) = -9*y**2 - y**3 + 9 - b*y - 5 + 6. Is p(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/165 and -107\/315.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2*o + 3 + 11, u + 2*o = -16. What is the units digit of (4\/(-6))\/(u\/45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-56)*((-700)\/378)\/(-5)\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqy when three letters picked without replacement from yyqmxqeer?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3*272\/(-1728) + (-10)\/4 and 157\/198.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5\/3 + 3*d**4\/2 + 35*d**3\/3 - 41*d**2\/2 - 30*d = 0.\nAnswer: -15\/4, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4258098907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -651 + 654. What is the closest to 0 in z, -12\/11, -2\/17, -2\/7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 25*s + 3*s.\nAnswer: -29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104 + -12?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9155899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -21 (c) 2 (d) 2\/103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 20 + -29 + -6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -5 - 4) + 12 - -68 - (75 - 90)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/270 and 22\/225?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -471, -1841, -4107, -7269, -11327, -16281, -22131?\nAnswer: -28877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -5*d - 21, -39 = d + 5*r + 7*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112111 - -2120010012?\nAnswer: 2122122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14459230?\nAnswer: 2, 5, 37, 39079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -121320022?\nAnswer: 121320102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 1, -1, 0 in ascending order.\nAnswer: -1, 0, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from ffkfkkkl.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**7\/252 - l**6\/45 - l**5\/20 - l**4\/3 - 19*l. Let v(i) be the third derivative of u(i). Factor v(k).\nAnswer: -2*(k + 1)*(5*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 946\/(-469))\/(4496\/(-7868)).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*s**2 + 240*s - 718\/3.\nAnswer: -2*(s - 359)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0512086 and -2363872.6?\nAnswer: 2363872.6512086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 434?\nAnswer: 7378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -1.15703509?\nAnswer: -1.15703509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 0 + 7\/40*x**6 + 10*x**2 + 0*x**3 + 0*x + 0*x**5 - 5\/24*x**4. Find the second derivative of m(l) wrt l.\nAnswer: 126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (5 + 5 + -5 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 19) + (55 + -19 - 13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 41363 and -9501512256.\nAnswer: -9501470893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 1, i: 1, s: 2, u: 1, q: 2}. Give prob of picking 1 q, 1 s, and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 divided by -45186?\nAnswer: -29\/2658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2. Let a(d) = 2 - 13*d**2 + 4*d**3 + 4*d**3 - 9*d**3 - 12*d. Let p be a(-12). Let t(b) = -2 + 0 + 2 + p*b. Determine j(t(h)).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 10*d**3 + 2*d - 23 + 0*d - 2*d.\nAnswer: 10*d**3 - d**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2\/2)*(-8)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88806 or 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, q: 5}. Give prob of sequence sss.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 45*i - 16. Does 5 divide f(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -669203200 to the nearest one hundred thousand.\nAnswer: -669200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-12)*(i\/(i\/i**(3\/7)))\/i*i*i\/(i*i**(-14)*i*i)*i**(3\/2))**(-50) assuming i is positive.\nAnswer: i**(-9425\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04 and 6344651928126.\nAnswer: 6344651928126.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1759 + -1757. Let p be (2 - 22)\/((-4)\/2). Suppose 9*s - p = 7*s. Sort s, 1, 3, z in ascending order.\nAnswer: 1, z, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from {t: 4, d: 3, v: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/3186205 and -71\/462?\nAnswer: 133820610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 220 = 4*b. Let f = 97 + -33. Let i = f - b. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-31)\/(-3) + 336\/(-252). Solve -u = 10*m - 39 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5323\/35 + -729\/5. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 + 6*o**2 - 3*o**2)*(o**2 - 1 + 1) - 14478*o**3 + 8339*o**3 - o + 2*o**4 + 2*o as u*o + y*o**3 + b + v*o**4 + s*o**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60069 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106371991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12889 is divided by 12729?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/20)\/((-58)\/1015)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**6\/18 + m**5\/15 - 91*m**4\/6 + 1330*m**3\/9 - 3275*m**2\/6 + 2125*m\/3 - 12503. Suppose x(t) = 0. What is t?\nAnswer: -17, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/36*3)\/(34\/12)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -2 (c) 3\/7 (d) -115 (e) -0.99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/10)\/(-8*26\/520). Let p(r) = 13*r - 10. Calculate p(x).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/28 and -45\/616?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puernuruvnuuururp. Give prob of sequence nv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/2170 and 113\/8728608?\nAnswer: 43643040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37811263, 75622528, 113433793, 151245058, 189056323?\nAnswer: 226867588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/(-128)*(-20)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*w = 180*w + 89*w + 20210 + 17083 for w.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + 28*f**2 + 4 - 28*f**2 + (1 + 0 - 4)*(0*f**5 - 4*f**5 + 2*f**5).\nAnswer: 8*f**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.6, -4.4, -0.26, 3 in increasing order.\nAnswer: -4.4, -0.6, -0.26, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-917)\/84)\/((-2)\/(-8))*(-20 - -17) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 40508010?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-726)\/55)\/(13794\/(-112860)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eceweeweee. Give prob of sequence eeew.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/54*(-6)\/(96\/(-8))*-4\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29994 - 15018 = 576*r for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05004 < -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 0 + 0*m**2 + 1\/12*m**4 - 3*m + 0*m**3. Let j(l) = l**2 - l**2 + 0*l**2 - 2*l**2. Determine j(z(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -33*h - 12. Let f be s(-5). What is the highest common factor of 17 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 57444875544*r**2 - 57444875542*r**2 - 3.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 2*m + 12. Suppose 4*f + 6*w - 26 = w, 0 = -5*f + 2*w + 16. Let r be s(f). Which is the biggest value? (a) 5 (b) -1\/2 (c) r (d) 0.036\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w**3 - 4*w**2 - w + 1. Let h(a) = 16*a**2 + 178*a + 13. Let i be h(-11). Let y(g) = -13*g**3 - 9*g**2 - 2*g + 3. Determine i*c(p) + 4*y(p).\nAnswer: 2*p**3 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.23647l in millilitres?\nAnswer: 8236.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**2 + 2*i - 1. Let q(m) = 7*m**2 - 5*m + 1. Let l(f) = -7*p(f) - 3*q(f). Let c be l(-3). What is the greatest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lxvllwwwlwxxlxl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421920295 is divided by 680?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 322277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g - 138 = -21*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + m - m)*(1 - 1 - 2*m) + 2*m**2 + 10*m - 10*m + (3*m + 0 + 0)*(2 - 2 + m) to the form j + y*m + f*m**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*c*j**2*p**2 - c*j**2*p - 32*c*j**2 - 11*c + 129*p**5 wrt p.\nAnswer: -56*c*j**2 + 2580*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-336)\/(-144) + 1\/(-3). Suppose 4*w - h*w - 2 = 0. Which is smaller: w or -9\/22?\nAnswer: -9\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-7 + 3 - 2) - -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n = -8. Sort -0.2, n, 0.5.\nAnswer: -0.2, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5644983?\nAnswer: 3, 277, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 1\/20*z**5 + 0*z + 1\/2*z**3 - 1\/6*z**4 + 0 + 60*z**2. Calculate a(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.43 and -213.3.\nAnswer: -518.319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*g**3*y - 367*g**3 - 932*g**2*y + 2*g**2 + 23896*g*y + 3*g + 262*y wrt g?\nAnswer: 102*g*y - 2202*g - 1864*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 24*o - 13*o - 12*o. Let b(k) = -3 + 31*k + 13*k - 29*k. What is x(b(g))?\nAnswer: -15*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*a**3 + 87*a**3 + 3*a**4 + 14 - 26*a**2 - 13 - 34*a**3 in the form t*a**2 + c*a**3 + v + k*a + l*a**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/(-14) - (19\/7 - 3). Suppose 2*i - 3*i + 204 = 3*d, c*i - 582 = d. What is the highest common factor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from yyyyyyyyynnnyy.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 2 (b) 8 (c) -0.1 (d) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l. Suppose 0*f = -3*f + 12. Suppose 4*b - 21 = 3*j, -f*j = -5*b + j + 30. Let k(a) = -b*a**2 + a**2 - 4*a**2 + 0*a**2. Give k(u(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1164, 2332, 3498, 4662, 5824, 6984, 8142?\n\"Answer: -j**2 + 1171*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 22*t + 577. Give h(-28).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5462395.99973 + -5462421. Let v = -25 - r. What is v rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkkdmgm. What is prob of sequence mdg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1092474928 by 186302.\nAnswer: -5864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7162848 and 963186.\nAnswer: 508562208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 3 - 16*h - 22*h. Is o(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 13*h - 20. Let l be d(2). Suppose -2*r + 3*s = l, 7*s + 2 = 2*r + 6*s. Solve -r*p = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**4*v**2 - 7478*d**3*v**2 + 205*d**2*v**2 - d*v - v**2 + 9 wrt d.\nAnswer: -48*d*v**2 - 44868*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.328.\nAnswer: 0.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 791, 805, 819?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 j, and 1 h when four letters picked without replacement from rjkqrqhhjjjqqhhr?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/11)\/z**(-1\/28) assuming z is positive.\nAnswer: z**(-45\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -12. Suppose 0 = -v - o*v + 14. What is the greatest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5)\/y)**(9\/7))**(-17) assuming y is positive.\nAnswer: y**(153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3871, 8, 1 in decreasing order.\nAnswer: 3871, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -617 and 1828761267.\nAnswer: 1828760650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 2\/7, -2, -0.5, -131?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/11)\/(528\/1155) and 19\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11206375.\nAnswer: 5, 37, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -46 + -61 - (-30 - 25)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + -26. Let h = n + 69. What are the prime factors of (-1 + (3 - -38))*h\/8?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (12\/(-7) + 4\/(-14)). Suppose 2*v + v + r = 2*y, y + 4*v - 2 = 0. Solve p**y - 9 + 0 + 0*p + 2*p**2 + 6*p = 0 for p.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 634385 - 314385. Suppose v + 3*v - 7*v = 0. Suppose p = -v*k - 4*k. Round k to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80508291 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o + 121 + 59 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -15. Solve 2*d + 0*d = o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260685440 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2736160?\nAnswer: 2, 5, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 20*b + 5 = -22*b, -2*b - 8 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 6*k. Let l(h) = -4 + h + 16 + 2. What is the tens digit of l(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 387 + -397. Let l be w + (-1748)\/(-160) + 2\/(-16). Which is the nearest to -0.8? (a) -0.5 (b) 1\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6248, -12511, -18774, -25037, -31300?\nAnswer: -37563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (225 + 253 + 457)*(8 - 7 + 2*b - 4).\nAnswer: 1870*b - 2805","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2 + 1. Let s(f) = -f - 6. Let j = 87 - 90. Let b(z) = -z - 3. Let p(y) = j*b(y) + 2*s(y). Let h(t) = 1. Give i*h(k) - p(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483*l + 4913 = -801 - 1048 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 785325 - 785325.2600002. Let j = -473 + 473.26. Let r = j + s. What is r rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3 = -39. Suppose -d - l = -2*d. Suppose 0 = 3*u - d - 9. Solve 0 = -0*h - 5*h + u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1379 - -1382. Let l(v) be the third derivative of -1\/15*v**5 + 0 + 0*v**d + 1\/15*v**6 + 18*v**2 + 0*v + 1\/48*v**4. Factor l(z).\nAnswer: z*(4*z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1087, 4283, 9603, 17041, 26591, 38247, 52003?\nAnswer: 67853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*q - 2*q - 427, -5*w + 2*q = -2117. List the prime factors of w.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10763, 10750, 10737, 10724?\n\"Answer: -13*i + 10776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-16)*(-106848)\/50085\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/7)*b)**(21\/4)*b**(2\/17)\/b**(-4))\/((b\/(b\/(b*b**0\/b*b)))**(2\/31))**16 assuming b is positive.\nAnswer: b**(7950\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5371 and 97703.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/59 (b) 0.35 (c) -841 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) -3\/8 (c) -5\/6 (d) 1\/9 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen halves of a week?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26872851 is divided by 3031.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*l + 352, -l - 85 = -3*k + 463. Let w = 195 - k. Calculate the remainder when 433 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f14 (base 16) to base 7.\nAnswer: 50065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -22*n. Let k(d) = 3*d**2. Determine k(t(l)).\nAnswer: 1452*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tutsbastt. Give prob of sequence tba.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*k + 4*k + 10 = 0, -n + k = -3. Suppose 0 = -n*i + 3*i + 4. Suppose i*a - 5*z = 1273, -103 - 212 = -a - 2*z. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 791. Let f(h) = -12*h**2. Give f(p(o)).\nAnswer: -48*o**2 - 37968*o - 7508172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 15, v: 4}. Give prob of sequence vppv.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 8*g - 6*g - 3*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20257 (base 9) to base 15.\nAnswer: -3e41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3496*b + 1538246. What is g(-440)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -8 + -2 + 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - r. Let h(f) = 130*f**2 + 13*f. What is -h(m) - 13*p(m)?\nAnswer: -117*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -88757, -178380, -267967, -357500, -446961, -536332?\n\"Answer: 3*z**3 - 89644*z + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*j**3*m - 26*j*m**2 - 280*m**2 wrt j?\nAnswer: 24*j**2*m - 26*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1268 is divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 264, 484, 606, 582, 364, -96, -846?\n\"Answer: -8*v**3 - v**2 + 279*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -15*m - 329. What is v(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5770205946 + -38375.\nAnswer: -38375.5770205946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 674834734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 6 - 2 + 32*h**2 + 18*h**2 + 157*h**2.\nAnswer: 207*h**2 + h - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 34 - 1095457*n + 1095456*n + 10*n**3 as k*n**3 + v + a*n + f*n**2 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*i - 21*i + 10*i)*(-235*i**4 + 28645*i - 28645*i).\nAnswer: 14570*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5172027cm to meters.\nAnswer: 0.005172027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -60733661?\nAnswer: -2\/60733661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-3) + (-7163)\/39. Let c be i\/(-10) + (-12)\/(-8). Let l = c - 14. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36736 divided by 9?\nAnswer: 36736\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 6. What is d(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 228 - 216. Suppose 5*r - 20 = -2*n + 3, 5*r - 29 = 4*n. Let j be (-16)\/(-6) + n\/(-3). Solve -j*l = l + x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 6) to base 4\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 2*a + a - 29 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/8 + (-9)\/4. Suppose -5*v + 2*v = 0. Which is smaller: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**26*x**(-2\/19)\/x)**(-19) assuming x is positive.\nAnswer: x**(-473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 59867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.9 - 22.3. Which is the closest to -0.1? (a) -1 (b) o (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-42)\/6))\/((-1)\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3526912494 to the nearest integer?\nAnswer: 59388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49270.81 litres to millilitres.\nAnswer: 49270810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 4*o + 0*o + (o - 3*o + 3*o)*(4 + 0 - 3) - 31*o + 6*o + 52*o - 7*o + 6*o - 7*o.\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -11*l**3 - 5*l**2 + 5*l - 4. Let j(f) = 6*f**3 + 3*f**2 - 3*f + 2. Determine 7*j(y) + 4*n(y).\nAnswer: -2*y**3 + y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -24*(-156)\/(-8)*3\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s\/s**(-1\/29))\/s)\/s))\/(s*s\/(s\/(s**(-4)\/s*s))*s) assuming s is positive.\nAnswer: s**(115\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 2*h**2 - 7*h - 8. Let d be u(6). Let v be (-2 - (4 + -3)) + d. Suppose 3*r = 3*q - 228, 0 = -q - 0*r + 4*r + v. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**11)**(1\/14))**24 assuming h is positive.\nAnswer: h**(132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 909*t + 232*t - 57477 = -274*t - 1084*t for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.800000706 - -16.8. Round t to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/12 - (-4)\/(-6). Which is the closest to 1\/3? (a) 3\/5 (b) 1\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/(-3)*42\/(-4).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*v - b - 4*b, 0 = 5*v + 2*b - 86. Suppose 18*d = v*d + 18. Solve 3*t = d, t = 5*u + 5*t - 32 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23471 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -152 - -135. Let c(t) = -t**2 + 3*t - 5. Let u be c(5). Are s and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**2\/2 + 2*i + 6. Let l be k(1). What is the second derivative of 21*o - 4*o**l - 42*o + 23*o wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 261084079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 0*n**3 + 0*n - 5*n**2 - 3 - 151\/8*n**4. Let o(k) = -k. What is o(p(r))?\nAnswer: 453*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 938?\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 11, h: 7, x: 1}. What is prob of picking 2 f and 1 x?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**4\/3 - 4*i**3 + 2*i**2 + 40*i\/3 + 8 = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1359 + -14929\/11. Suppose -3*f = 4*w - 7045, 0 = -f + 2*f - 3*w - 2370. Let r = f - 6989\/3. Find the common denominator of r and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3))\/((-16)\/36). Which is the nearest to -1? (a) 2 (b) o (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1639.\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 + 11 + 0 + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109049083?\nAnswer: 11, 13, 277, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*i - 2*i + 16*i)*(-4 + 2 + 1) to the form v + p*i and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7690 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4*(b*b**(-1))\/b*b)\/(b**(2\/13)*b\/(b\/b**0)))\/((b**(-7)\/b*b*b**4)\/(b**(-6)\/b*(b*b**0*b)\/b)) assuming b is positive.\nAnswer: b**(11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 40 = -2. What is the greatest common divisor of y and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 20078 = -2*y + 22*b, y - b = 10036. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/(-18) - 6)\/(909\/45 - 20)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2501 + 4682. Let z = -1540 + h. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133.15 - -138.771. What is w rounded to 1 dp?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23993327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (-4 + 0)) + 9. Suppose i*l - 4279 = -0*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 9\/5, -5, 1\/2, -34\/13 in decreasing order.\nAnswer: 9\/5, 1\/2, -2, -34\/13, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 47 = -8*m. Suppose u + 5*q - 38 = -0*q, 4*u = m*q + 127. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**4 - 4*q**3 + 4*q**2 + 3. Let w(o) = 4*o**4 - 5*o**3 + 5*o**2 + 3. Let h(m) = -5*u(m) + 4*w(m). Differentiate h(t) wrt t.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millennium in decades?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 867*w**2\/2 - 4746417*w + 25984399467\/2.\nAnswer: 3*(17*w - 93067)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*((sqrt(13) + sqrt(52)\/sqrt(4))**2 + sqrt(13)) + 3*(sqrt(78)\/(sqrt(6)*-1))**2.\nAnswer: 12*sqrt(13) + 663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 - 90. Sort t, 7, 4, 1 in increasing order.\nAnswer: t, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25184.48 times -3?\nAnswer: -75553.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/1515 and 62\/159.\nAnswer: 80295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/1*(-3)\/(-1). Let i(u) = -u**2 - 10*u - 7. Let l be i(m). What is the highest common divisor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9130 - 50 = 10*s. What are the prime factors of s?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 8*u**2 - 5*u - 3. Suppose 5 - 25 = -5*x. What is the tens digit of h(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, b: 1, n: 2, o: 1}. Give prob of sequence llbn.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 9. Suppose -2*u = b - 5*u - 53, 2*b - 79 = -v*u. Calculate the highest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*r - 2*f, -3*r + 5*f - f + 53 = 0. Which is bigger: 13 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 272, 1037, 2312, 4091, 6368, 9137?\n\"Answer: -m**3 + 261*m**2 - 11*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 16*h**2 + 27*h - 8. Let n be j(-14). Let w be n\/30 - 196\/(-20). Let z = 116 + -76. Calculate the greatest common divisor of w and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7 - 11*o - 3*o + 40*o - 2*o + 6*o**2. Is m(-5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*f + 37, 6*t = 2*t - 2*f + 34. Let d be 0 - 8\/(-2)*t\/16. Let y(u) be the first derivative of -3*u**2\/2 + 3*u + 1. Give y(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, and 2 r when four letters picked without replacement from yrryyyyxyyroyxxoryx?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -462\nAnswer: -92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*g**4 - 27478*g**3 + 229940*g**2 - 118304*g + 12288 = 0.\nAnswer: 1\/7, 2\/5, 8, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/74 + -133\/2516. What is the second biggest value in w, -0.3, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176293, -176312, -176349, -176410, -176501, -176628, -176797?\nAnswer: -177014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3. Suppose -6*l - 84 = 6*l. Let r be (-7)\/(6 + 0 + l). Let m(k) = -k**2 + k - 9. Calculate r*z(s) + 2*m(s).\nAnswer: -2*s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(12)\/sqrt(4)*-3)**2 + 1 + 3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (737\/44)\/(-67)*-92.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -211, 20, 0, -2, -1 in decreasing order.\nAnswer: 20, 0, -1, -2, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12903 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-66) - 2\/(-4). Let d = -3.6 - -3.3. Which is the nearest to d? (a) -3\/4 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/74 and 103\/24.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68651959, 274607836, 617867631, 1098431344, 1716298975, 2471470524?\nAnswer: 3363945991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -291 <= -287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Let v = -1.09 - -0.19. Let s = v + -2.1. Is t greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 23*c**6\/30 + 23*c**4\/6 + 33*c - 2. Let m(y) be the first derivative of p(y). Find the third derivative of m(h) wrt h.\nAnswer: 552*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 1, v: 1, g: 2, c: 2, m: 1}. Give prob of picking 1 e and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -272640.586 - -272368.585995392. Let p = 272 + w. What is p rounded to 7 decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011001212 (base 3) to base 14\nAnswer: 837b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**16*q)\/q*q**5*q)\/(q**(2\/7)\/(q\/(q*q\/(q\/q**(-2\/9))))) assuming q is positive.\nAnswer: q**(-508\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, z: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -561330?\nAnswer: -561331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(0 + (-1)\/4). Suppose -3 = -v*p - 23. Round p to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3048\/72 + 2\/(-6). Let x be 7\/(-140) + f\/140. Let 1\/4*n**3 - x*n**2 + 0 + 0*n = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*t + 35, -5*c + 194*t - 199*t = 40. What is the second smallest value in 6\/5, c, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2609\/215 - (-8)\/20. Let p = q - 3\/86. What is the common denominator of p and 1\/(44\/37 + -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.440327 + -32.1.\nAnswer: -31.659673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 6:02 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/82830895 and -43\/8150.\nAnswer: 828308950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from xleylyxulyqlyxl?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32357 = 9*w + 4*w. Let j = w + -1632. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.13, -2231?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.431 - -89.031. Let f = 89 - o. Let j = -0.21 + 0.21. Sort 0.3, j, f, -0.1.\nAnswer: -0.1, j, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009384181 a multiple of 2801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 365?\nAnswer: -35d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -8\/3*m**3 + 4*m - 7*m**2 + 4. Factor l(t).\nAnswer: -2*(t + 2)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32083?\nAnswer: 32083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 40\/269, -0.3 in decreasing order.\nAnswer: 2, 40\/269, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 4*n - n**3 - 1 + 3*n + 0*n + 6*n**2. Is o(7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -7. Suppose -t - 3 + 5 = 0. Sort 0.5, g, t.\nAnswer: g, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((5\/(10\/6))\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011011010010000001 (base 2) to base 12.\nAnswer: -47b595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1002, 2061, 3118, 4173, 5226, 6277?\n\"Answer: -m**2 + 1062*m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.480989 millennia to months.\nAnswer: 113771.868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, t: 1, q: 1, u: 2}. What is prob of picking 1 t and 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/100 and -111\/323900.\nAnswer: 323900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.03, 3\/86, -3\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r + 3*b = 41, 0 = r - 5*b - 1. Let z = -71 - -107. Let x = z - r. Calculate the lowest common multiple of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*1\/(-1))\/(429\/(-1144))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 137*f**2 + 60. Let h(d) = 413*d**2 + 181. Let c(q) = -2*h(q) + 7*w(q). Differentiate c(x) with respect to x.\nAnswer: 266*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*h**3 - 66*h**3 - 99*h**3 + (0*h**2 + h**2 - 3*h**2)*(4*h + 0*h - 3*h).\nAnswer: -111*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d + 2*d)*(-d + 2*d + d) + (1 - d - 1)*(d + 0*d + 0*d) + (2*d**2 + 3*d - 3*d)*(-2 + 1 + 0).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000619815974 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27319499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 7*w + 345. Let y = -152 + w. Let z = -121 - y. Round z to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 0 - 2*a**2 - 2*a - 1\/12*a**4 + a**3. Let l be (-17)\/(-5) + 10\/(-25). Give k(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 1\/4, 4.91, 1\/6, 6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4113 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s - 5 + 5)*(2*s - 4*s + 0*s + (0*s + 3*s + 0*s)*(-3 + 2 + 0)) as h + c*s + r*s**2 and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87280 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -19642*p**3\/9 + 19646*p**2\/9 - 4*p\/9 = 0.\nAnswer: 0, 2\/9821, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((39198\/(-139))\/141)\/(-2*3\/(-60)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14721 to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4521172.000013 + 4521167. Let d = n - -5. What is d rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607345.\nAnswer: 5, 121469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94395134 and 1454?\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 305 and -7593?\nAnswer: -2315865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.28 + -3. Let k = l - 0.68. What is the nearest to 0.2 in -3, k, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*r + 8*r + 9 = 0, -4*g + 18 = -2*r. Let 2\/3*z**2 + 10\/9*z + 4\/9 - 2\/9*z**4 - 2\/9*z**g = 0. Calculate z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5541933 and 1986.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 31, 9, -33, -101?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1300236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23)\/(-2) - 8\/(-16). Let l = 24 - t. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 12744 = -23*s. Let l be (2\/3)\/((-12)\/s). Suppose 2*i - l = -188. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -267, 3583, 7437, 11295, 15157, 19023, 22893?\n\"Answer: 2*d**2 + 3844*d - 4113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -34379 (b) 1\/5 (c) -10 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -1) + (-2 - 0). Suppose q + 5*y = 0, q + 4*y + 3 + 0 = j. Let z = q + 72. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 228 + -15?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95055836.\nAnswer: 2, 23763959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2805571073?\nAnswer: 23, 5303537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61 + 92*c**3 + 61)*((-2 + 1 - 1)*(2 + 1 + 5) - 4 + 5 - 3) to x*c**2 + l*c + a + k*c**3 and give k.\nAnswer: -1656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22950 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmkk when four letters picked without replacement from {x: 3, k: 4, f: 1, m: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 1:33 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1140322*j**2 + 11*j - 4354.\nAnswer: 2280644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.228289662 and -0.1?\nAnswer: 0.328289662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-6) + -1)\/(2\/4). Factor b**2 + 0 + h*b.\nAnswer: b*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59074 is divided by 19585?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -25*a + 102. Let z be q(4). Suppose -5*h = -m + z*m - 34, m + h - 46 = 0. What is the remainder when m is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 12*w - 13. Let g be r(-10). Differentiate 47*k + g - 11*k - 33*k - 25*k with respect to k.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 23*d + 1. Calculate the lowest common multiple of o(11) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*sqrt(18)*2)\/(6*(sqrt(726) - 2*sqrt(726))).\nAnswer: 4*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tttttkktt?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 399*f**3 - 142*f**2 + 3. Let y(t) = -797*t**3 + 285*t**2 - 5. Let n(j) = -5*q(j) - 3*y(j). Find the third derivative of n(w) wrt w.\nAnswer: 2376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -13. Let o be (12\/f)\/((-2)\/10). Solve 0 = y - o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 49. Which is the fourth biggest value? (a) 0.3 (b) -0.2 (c) z (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42826105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -184, -157, 204, 1085, 2672, 5151?\nAnswer: 8708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -212 - 44 + 865 + 3*q + 627 + 548. Let p(l) = l. What is t(p(u))?\nAnswer: 3*u + 1784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -7*t**6\/6 + 2*t**2 - 4. What is the second derivative of j(w) wrt w?\nAnswer: -140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116261196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (3 - 2) + (208 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**3 + 4*l**2 - l + 6. Let o(h) = h**3 - h**2 + 1. Let a(w) = -m(w) + 3*o(w). What is the units digit of a(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 0*p + 7*l - 48, 4*p = -l - 4*l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 540, 4.\nAnswer: 4, 5, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 541 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 27*a**2 - 2*a - 37. Determine w(-27).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11581149, -11581146, -11581145, -11581146, -11581149?\nAnswer: -11581154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6935.529 rounded to the nearest 10?\nAnswer: -6940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*62\/(-1705))\/(2\/(-33)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 12930?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 72 + 1591?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1526833.11 to the nearest ten thousand.\nAnswer: 1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -825, 5, 4\/9, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (-17 + 22)) + -11 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*m + 20, -4*m = 3*v - 6*v - 20. Solve v*t + t - 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) 1 (c) -5706 (d) 0 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + 9114\/1364 - (21 - (-2519)\/(-121))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 66*x**3 - 8*x**2 + 11*x - 2. Let k be d(1). Solve -k = 11*o - 122 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 3. Let s = -21.3 - -13. Let k = s + 8. Which is the closest to 2\/5? (a) 0.4 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, s: 3, w: 3, p: 2, o: 4, b: 4}. Give prob of picking 2 v.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*p**3 + 44*p**3 + 2*p**2 + 23*p**3 + 2 to k*p**3 + s*p**2 + v + q*p and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -2\/9, 2, -35?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2 + 3. Let r = n - -33. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by -8.\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b + 15*b - 39*b + 11*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 7*u + 4. Is -4 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 16684, -0.2, -0.01, 11, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1731 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 318 - -502. Suppose -x + 5*x = u. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1934.\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -18. Let d be (6\/q)\/((-5)\/(-60)). What is the units digit of ((-6)\/d)\/((-6)\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.76 times 2751\nAnswer: -13094.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 164100*q**2 + 60*q + 59964724 wrt q.\nAnswer: 328200*q + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**2. Let l(a) = a**2 - 7*a - 6. Let x be l(7). Let i(k) = -k**2. Let v(b) = x*c(b) + 21*i(b). Let w(d) = d. Calculate w(v(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/((-12)\/(-48)). Let w(g) = 2 - 4 + 0*g + 11*g. Is w(l) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8 = -2*n, -2*n - 2*x - 3 = -5*x. Suppose 0 = -m - 3 + 7. Calculate the remainder when n is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + 0*u)*(0 - 1 + 3) - 7*u - 7 + 4*u - 2*u.\nAnswer: -3*u - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwrmfmmyfmf. Give prob of sequence rm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 122 = -94. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**4 + 23 - 20*s - 5*s + 20*s**3 - 48*s**2 - 4*s**3. Let f(h) = -2*h**4 - 4*h**3 + 12*h**2 + 6*h - 6. Let k(w) = 9*f(w) + 2*i(w). Solve k(m) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t + 19*t - 13*t - 4*t**2 + 4 - 9 to the form l*t + g*t**2 + r and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 340, -5, -26, 1, 5 in decreasing order.\nAnswer: 340, 5, 3, 1, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 196 = -5*v + 4*d, -122 = -3*v - 4*d. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*298.\nAnswer: -894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222211120 + 12?\nAnswer: -222211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**7\/840 + m**6\/180 + m**5\/24 - m**4\/4 - 9*m**3 - 21. Let d(r) be the third derivative of y(r). Factor d(f).\nAnswer: -(f - 3)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v. Let n(g) = 8*g + 59. Calculate n(d(m)).\nAnswer: 24*m + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55051615 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and 257991.\nAnswer: -30958.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/72 and -43\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45506.7 kilograms in tonnes?\nAnswer: 45.5067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**2)**(-10\/9)*(j**0)**(-41))**20 assuming j is positive.\nAnswer: j**(-200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -79, -1057, -3791, -9187, -18151, -31589?\n\"Answer: -151*z**3 + 28*z**2 - 5*z + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l + 1. Let g = 6 + -3. Suppose -4*z + 86 = 2*y, -2*z - 40*y + 45 = -37*y. Let x(v) = -z*v - 28*v + 99*v - 23*v + 1 - 28*v. What is g*x(f) - o(f)?\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -5*y**3\/3 + 145*y**2 - 3360*y - 3234. Factor r(t).\nAnswer: -5*(t - 42)*(t - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 - 170*l**2 - 321*l + 895. Give v(-83).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3\/7, 0.5, -0.4, -10.16, -47?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -21. Suppose -303 = m*o + 3*y, -3*y - 327 = 5*o - 6*y. Let l = o + 68. Solve l*g - g - 16 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 8:38 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f**2 + 6*f**2 + 0*f**2)*(-151 - 433 - 156)*(-2*f**2 + 2*f - 2*f) in the form s*f**2 + h + d*f**4 + o*f**3 + u*f and give d.\nAnswer: 1480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2387 - -2412. What is the remainder when 485 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 - 0) - (0 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*110132\/33. Is 0\/5 - g\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -179\/17 at most -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5 - 41*r**4 - 199*r**3 + 869*r**2 - 630*r = 0. What is r?\nAnswer: -7, 0, 1, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525481*c - 1 + 1 + 525500*c.\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(-73*n**2 + 474*n - 474*n)*(-6 + 6 + 6*n**2).\nAnswer: 876*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, z: 1, x: 1, q: 3}. Give prob of sequence zx.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 165749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 + 255. What is the units digit of (1 + 5 + -5)*u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/90885 and 73\/262695?\nAnswer: 19176735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + -53 - (-18 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(5 + -1) - (0 - 1). Let y be 1*d + -4 + -999. Round y to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (81\/(-63))\/(3\/(-35))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17782.9890111 and 24.3.\nAnswer: 17807.2890111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -11. Let z(p) = -5*p**3 + 1. What is z(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*u + 133 - 118, 4*k + 12 = 3*u. Let v(o) = 3*o**2 - 4*o - 27. Calculate v(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*q - 12, -q + 12 = -4*i - 3*q. Let k = 566 + -2265\/4. Put k, 2\/3, i, -2\/9 in decreasing order.\nAnswer: 2\/3, -2\/9, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -2\/5 (c) 20 (d) -2 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*x - 10 = 0, -3*x = -3*l + 7 + 11. Put -1, l, -2\/13 in increasing order.\nAnswer: -1, -2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 468 - 464. Sort 10, b, 3 in decreasing order.\nAnswer: 10, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-19\/5))\/v)\/(v*v\/((v\/((v*v**(10\/3)*v*v)\/v*v))\/v)*v) assuming v is positive.\nAnswer: v**(-83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 13968559?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28423201.\nAnswer: 17, 131, 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*x + 5*r, 4*r = -5*x + 6 + 8. Let o = -4 - 0. Let w(b) = -b**3 + b**2 - 2*b + 3. Let c be w(2). Put -2, c, x, o in increasing order.\nAnswer: c, o, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7647*v**2 - 1 - 3.\nAnswer: 7647*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -54717.5 and -7.\nAnswer: -54724.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(23*n**2 - 57*n**2 + 6*n + 33*n**2)*(-2*n**3 + 5*n**2 - 5*n**2).\nAnswer: -4*n**5 + 24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -408 + 1627\/4. Put 2, -2\/5, -0.3, m in decreasing order.\nAnswer: 2, -0.3, -2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32.81 and 0.02.\nAnswer: -0.6562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -267 - 28c?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/76 and -37\/13179.\nAnswer: 1001604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (414\/63)\/((-2)\/(-14)). Solve n*f + 35 = 41*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501013\/2 + 0 + 42\/(-28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = -20*i - 402 + 831 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 6, -7673 in increasing order.\nAnswer: -7673, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 2*q - 1 + (-63*q - 79*q - 127*q)*(-1 + 3 - 1) + (0*q + q + 4*q)*(0 - 2 + 3) to j*q + y and give j.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 1187.\nAnswer: -1187.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = -8*h + 132. What is the units digit of (-6)\/(-8) + 4 + (-17685)\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1485, 6122, 13851, 24672, 38585, 55590?\n\"Answer: 1546*j**2 - j - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 864, 868, 872, 876?\n\"Answer: 4*d + 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 37*d**2 + 8*d + 44. Let j be k(38). Calculate the highest common divisor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 38864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1, -2\/7, -8, -396 in decreasing order.\nAnswer: 0.5, -2\/7, -1, -8, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*j - 8*j + 15*j + 11*j + j + 3*j + (j - 4*j + 4*j)*(1 + 2 - 4))*(3 - 2 + 1) to the form f*j + g and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = 5*w + 7. Let i = 2 + -2. Suppose 2*k + 3*k - w = i. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51\/175 - -18\/25. What is the nearest to 0 in -3\/2, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 38, 24, 10, -4, -18?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -45*i**3 - 2*i**2 + 6. Suppose -388*k = -384*k + 20. Is o(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 480691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -87. Let o = u + 160. Find the common denominator of (1298\/o)\/((-8)\/6) and 50\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1097 + -528. Let v = l + -13085\/23. Which is the nearest to 1? (a) v (b) 2\/5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*z - 155*z + 42*z - 149*z.\nAnswer: -396*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-140)\/329) - 9\/(-12). Let g(k) be the first derivative of k**2\/2 + 20*k + 1. Let r be g(s). Solve -5*h = r - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 14, e: 5}. What is prob of sequence veve?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v. Let h(a) = -1311240*a. Give s(h(p)).\nAnswer: 2622480*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 8*x - 9. Let c be q(-6). Let j(p) = p**2 - c*p**2 + 0*p**2. Let t(o) = 2*o + 3*o**2 + 3*o - 5*o. What is t(j(m))?\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)\/(k**(-1\/4)\/k)*((k*k*k**(2\/5))\/k)**(-37))\/((k**(-1)*k)**18\/(k\/k**(1\/3))**(9\/8)) assuming k is positive.\nAnswer: k**(-247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2465*j - 2550*j - j**2 + 6*j**2 - 62*j**6 + 87*j**6 + 549*j**6 wrt j?\nAnswer: 68880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -2\/9 (c) -30880 (d) -2\/1163\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -12475*j + 2. Let m(x) = 12484*x - 3. What is 3*c(r) + 2*m(r)?\nAnswer: -12457*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22458? (a) -0.2 (b) -2.5 (c) -0.04 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 269039*o**2 - 120331*o wrt o.\nAnswer: 538078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a + 3. Let c be g(3). What is the units digit of (-2)\/c - (-249)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 12 + 180. Suppose 5*q + i - 9 - 50 = 0, -5*q + n = -4*i. Solve 5*s - 37 = -q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1918 and 1421243754?\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 487234517 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -212*g**2 + 507*g**2 - 294*g**2. Let f(c) = -16*c + 3*c - 3*c. Give f(q(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 1354. Let r(m) = -7*m - 480. Let a(p) = -2*p - 128. Let g(d) = -15*a(d) + 4*r(d). Determine n(g(v)).\nAnswer: -2*v + 1354","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 740 + -745. Sort s, 115, 4\/5 in ascending order.\nAnswer: s, 4\/5, 115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8 + (5 - 5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 9. Let z(o) = -o - 3. Let f be z(p). Suppose -72 = -a - 2*a - 4*w, 2*a - 50 = -2*w. Solve a = -8*c + f*c + 3*g, 4 = 4*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*h + 525, -38 = -3*h + 3*v - 344. Let x = -80 - h. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**2\/d*d)\/d)**(5\/2)\/(d*d\/(d\/(d\/(d\/d**2)*d))*d)**(-5\/11))**(24\/7))**(-33) assuming d is positive.\nAnswer: d**(-540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 950547467 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 + (3 - 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(63) + 1)*4 - (4 + (sqrt(7) - sqrt(7)*-2)**2)*6.\nAnswer: -398 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7795 < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19075969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, 28536, 0.5, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, 18, 44, 90, 162, 266, 408, 594?\n\"Answer: a**3 + a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 732549672 to the nearest integer?\nAnswer: 27066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 243db?\nAnswer: 243d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 18*c**2 + 54. Let w(d) = -1. Let i(l) = -54*w(l) - x(l). Let u(h) = -2*h**2. What is i(u(a))?\nAnswer: -72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202816 is divided by 943?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/3)*r**(2\/3))\/(r**(1\/6)*r*r**(-2)\/r) assuming r is positive.\nAnswer: r**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (3 - 5 - -2 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -188 - -187.19. Let y = -1.01 - q. What is the second biggest value in -7, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 315 and ((-4410)\/(-567))\/(2 + (-51)\/27).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 669 (b) -0.1 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*r**3\/3 - 231566*r**2\/3 - 1340639776*r\/3 - 268100168.\nAnswer: -2*(r + 11578)**2*(5*r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Let c(r) = 0 + 3 - 3*r - r**q + 2 - r. Give c(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3069 (base 12) to base 11.\nAnswer: 3a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10615085057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3462 divided by -6?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnuuquun. Give prob of picking 1 n and 2 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5839, 11506, 17173, 22840, 28507?\nAnswer: 34174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, z: 2, w: 1, p: 1, t: 1}. Give prob of sequence et.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 + 1847 - 1846 + x - x**2 + 3*x**3. Let h(q) = -2*q**2 - 22*q + 2. Let m be h(-11). Suppose -2*c = -2*a + m, 0 + 6 = a + 4*c. Give t(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = -5*j + 3, -4*j + 4 = 2*b. Let m(u) = 5*u**2 + 7*u - 4. Calculate the least common multiple of 15 and m(b).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10284 is divided by 4283?\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -6*x - 11. Let d be (-3 - 12)\/((-1)\/x + -1). Solve -13*a + d*a + 12 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + m = 55, -2*m + 50 = -5*b - 42. Let i = b - -22. Determine w so that -3\/5*w**3 + 0 + 2\/5*w**2 + 1\/5*w**i + 0*w = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x = 20*x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 3)**2 - (-2*sqrt(153))\/sqrt(9).\nAnswer: 44*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 8, b: 9}. Give prob of picking 1 w and 1 b.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = 5*j - 65, 3*a - 133*j - 37 = -138*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {g: 1, n: 1, x: 8, m: 1, s: 2, k: 7}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.1. Let i = -0.439 + 0.239. What is the closest to i in 1\/5, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * 3755027.\nAnswer: -97630702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 6:11 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((2 - (-18)\/(-3)) + 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -43 + 31 + 25 + r. Calculate the common denominator of -73\/4 and n(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 7464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -3\/2*f**2 + 5\/6*f**3 + 0 - 4*f. Let u(l) = -l + 1. What is t(v) + 3*u(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 793 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**2 - 9*m - 8. Calculate the remainder when 963 is divided by j(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 0 - 10\/7*v**4 - 72\/7*v - 122\/7*v**3 - 384\/7*v**2 = 0.\nAnswer: -6, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2409*a**2*f**2 - 7*a**2*f - 19*f**2 - 2143*f - 1 wrt f?\nAnswer: 4818*a**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*s - 1122*s - 454*s - 5136 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279622 is divided by 18641.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**5\/10 + x**4\/6 + x**3\/3 - x**2 - 8*x - 6. Let y(d) be the first derivative of a(d). Factor y(h).\nAnswer: -2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*sqrt(147) - (-6*(sqrt(3) + (sqrt(3) - sqrt(147)*2)))**2.\nAnswer: -15552 + 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -0.2, 0.0145, 11\/361?\nAnswer: 0.0145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 76, 129, 192, 271, 372?\n\"Answer: x**3 - x**2 + 49*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 2*m**2 + 3*m + 2. Suppose 2*a + 8 = 4*a + r, -3*a = -5*r + 1. Let f be y(a). Suppose -23 = -f*b + b. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 495 or 494?\nAnswer: 494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*d = 55, c = d + d + 11. Let w(i) = 6 - 6 + c*i**2 + 0. Let m(y) = -y**2. Calculate w(m(n)).\nAnswer: 11*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpu when three letters picked without replacement from uupzupu?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 4, 2\/19, -6667.83?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(3888) - (sqrt(3888) - (sqrt(3888) + -1)**2*-3))*2 + (4 + (sqrt(3888)*-1 + sqrt(3888) + sqrt(3888))**2)*-2)*-3.\nAnswer: -280062 + 3888*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(7\/4)*x**8)\/(x*x\/((x*x\/(x\/(x*x**(-1\/4))))\/x)*x*(x*x*x**(2\/19))\/x*x) assuming x is positive.\nAnswer: x**(243\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310, -235, -110, 71, 314, 625, 1010, 1475?\nAnswer: 2026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(14\/(-4) + 1). Let p(c) = -11*c - 23. Let d(h) = 8*h + 20. Let z(r) = 5*d(r) + 4*p(r). What are the prime factors of z(v)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, s: 1, e: 3, g: 3}. Give prob of sequence sb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/24*(-12)\/3*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 33 + 0 = 0. Let v = x - 7. Calculate the remainder when 7 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/202 not equal to -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -88. What is the remainder when l is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from ercrcllycrl.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2468 divide 91923128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -101*y**2 + 4*y - 1. Let i be c(5). Let d be 2\/(-3) - i\/42. Suppose j - d = -4*h + h, -5*h - 59 = -j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -281 + 249.1. Let j = -75 - -96.2. Let k = j + w. Round k to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 74 - -f68ed?\nAnswer: f6961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 795347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiyyiyviaav. What is prob of sequence yy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4526 and 55738?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from feve.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 + 11.3. Let g = u - 12. Let h = g + 3.1. Is h < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*t + 31692 = 463*t for t.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 26.5 (b) -0.33 (c) 10\/3 (d) -16 (e) 2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1932 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.835133ng?\nAnswer: 0.000000000000000835133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11864\/1483)\/((-7)\/((-140)\/8))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*(-58)\/(-58)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -97*v + 1946. Let l be b(20). Let f(j) = 7*j**2 - 2*j**2 - 3*j**3 + 1 + 2*j**3 - 4*j + 9*j. Calculate f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10975142821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 - 2*s - 18. Is 14 a factor of d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.09 (b) -2\/5 (c) -52 (d) 0.4 (e) -152\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3706*n**2*s**3 + 6*n**2*s**2 - 88*n*s**3 - n*s + 62*s wrt n.\nAnswer: 7412*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*j - 416 = 294. Calculate the remainder when 166 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 5:17 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**7\/42 - 11*m**6\/24 - 11*m**5\/4 - 25*m**4\/24 + 125*m**3\/3 - 27*m**2. Suppose w(u) = 0. What is u?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001856 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 < 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6726 and 504754?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 733586.1 seconds?\nAnswer: 733586100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/22 + 3\/2. Let g(k) = -6539*k - 14*k**h + 6539*k. Let n(i) = 4*i**2. Determine g(n(b)).\nAnswer: -224*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 53. Let i(k) be the first derivative of 0*k**2 - 3 + 0*k**w - 3\/4*k**4 + 2*k. Differentiate i(y) wrt y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4\/8 - 45*z**3\/8 - 171*z**2\/4 - 183*z\/2 - 63 = 0. Calculate z.\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3425 (base 14) in base 4?\nAnswer: 2031121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1349 by 6.\nAnswer: 1349\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b7b78 - -2?\nAnswer: b7b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 1659980.3.\nAnswer: 829990.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187954 by -1592.\nAnswer: -93977\/796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/(-10) - -1)*((-347369)\/(-3036) + -114).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 9:47 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 1, 0, -1, 4, 3 in descending order.\nAnswer: 69, 4, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/8)\/((-2)\/4). Let c(h) = h**2 + 8*h + 5. Let g be c(-7). Let u = y + g. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 8437*h - 59233. Give j(7).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -1.7595.\nAnswer: 0.52785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7896 divide 2368334136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(-5*j + 5*j - j) - 160 - 25*j + 160.\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 176 (b) 15 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h + 1. Let p be y(2). Let s = -41\/8 - p. Do s and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67.6 + -61. Let x = 6.59999967 - i. Round x to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -7. Let p be 0 - (f + (-22)\/(-8)). Which is the biggest value? (a) 4 (b) -1\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 + 159. Let c(x) = -7 - o*x - 9*x + x + 9*x. Calculate c(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8764 + -8752. Solve -582*b + y = -584*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-3) + 2)*6. Suppose -5*h = 5*i - 25, 5*h + 4*i = -0*i + 25. Let a be (g - h) + (0 - -3). Solve -4*b = -5*d - a*b - 24, 2*d - 2*b = -10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 528\/5 - 106. Let h = p - -3\/20. Let g = 2.9 + -3. Which is the closest to h? (a) -1 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 13*z + 11 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 94, -8 in decreasing order.\nAnswer: 94, 16, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8198558 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 28 + 7 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -55. Is 25 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {h: 1, i: 1, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Let n be 3*(-3 + (-1 - -3)). Which is bigger: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3*f - 12, -3*b + 7*f = 3*f - 16. Let r = 3 + -2. Let t(u) = u. Let h be t(r). What is the nearest to h in b, -4, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 243 + -239. Suppose -r - 6*t = -5*t + 1, -3*r = s*t + 5. What is the greatest common divisor of r and 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 4*j**2 + 7*j + 2. Let v be p(5). What is the remainder when (-16)\/(-20)*20\/2 is divided by 102\/18 + (-4)\/v*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*z - 46, 3*z = -4*o + 2*o + 3. Let l = o - 7. Let p(r) = -9*r**2 - 9*r - 4. Let j(g) = 4*g**2 + 4*g + 2. Give l*p(v) + 5*j(v).\nAnswer: 2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 797.4374 - 823.437476. Let s = 26 + c. What is s rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 11*a**2 + 18*a - 80. Give b(9).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (106\/4)\/(7\/(-28)). Let i be (-162*2)\/(7 + -8 + -1). Let t = i + x. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (107\/((-1070)\/(-12)))\/((-40)\/75)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6 - ((-2)\/(-9) + (-1181154)\/54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-128)\/(-28))*77\/55.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9096 - -643?\nAnswer: -8853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1156 - -1156.02. Which is the third biggest value? (a) 0.3 (b) 2\/9 (c) s (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -977.4 + 967. Let p = 0.36 + 10.44. Let h = t + p. What is the nearest to -0.21 in -1, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a595 - -9?\nAnswer: a5a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x - 8. Let i be (-6)\/((-3)\/(-3)*-1). What is the units digit of g(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19922 + 19978.1. Sort 1\/5, 4, 3, i, 1 in descending order.\nAnswer: i, 4, 3, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597265.\nAnswer: 5, 319453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*w - 36, u - 4 - 5 = -w. Suppose u = 3*p + 3. Solve 3*r + 11 = -4*i, 3*i = p*r - 6*r - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21846*f*j**3*o + 2*f*j**3 - 2*f*j**2 + f*o + j**3*o + 571*j**3 + 2*j + 188 with respect to o.\nAnswer: -21846*f*j**3 + f + j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/(-6) + (-36)\/(-54). What is the nearest to -1\/4 in 5, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + -17 + 10 - -3) + -3 + 10.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 536*f.\nAnswer: -536*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 13. Let q be s(7). Let t = -54 + 704\/13. Sort q, -1, t in descending order.\nAnswer: q, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12493 + 12497. Solve 0 = b*p + 4*p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1056\/2513 + 3\/359. Which is the closest to 2? (a) 1 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5913 divided by -353.\nAnswer: 5913\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 5*s + 4. Suppose -5*h - 3*y = -48, 5*y = -s*h + 13 + 10. Suppose -6*v - 204 = -h*v. What is the greatest common divisor of v and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123050000 rounded to the nearest one hundred thousand?\nAnswer: -123100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -8. Suppose -o = l - 8, -l + 3*o = q*o - 8. What is the smallest common multiple of 7 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - (17 - 18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*v - 4, 4*v + 364 = 5*r. Let j(f) = -95*f. Let n be j(-1). Suppose -8*y + 3*y = -n. Calculate the greatest common factor of y and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 4b2?\nAnswer: -4ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 - 2*j + 1. Let i be w(1). Let f = i + -28. What is the remainder when 33 is divided by 10\/f + (-174)\/(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.044 (b) 25 (c) -0.029 (d) 445\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 203279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4368 and 15055264.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**3 + 3*b**2 - b + 7. Let x(u) be the second derivative of -1\/12*u**4 + 1\/20*u**5 + 2*u + 0 + 0*u**3 - u**2. What is 2*r(w) + 7*x(w)?\nAnswer: w**3 - w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 1:11 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 104500*s + 104522*s - 209086*s)*(2 - 2 - 3*s) as w*s + t*s**2 + r and give t.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119\/6, 1\/25, 29952, 1 in ascending order.\nAnswer: -119\/6, 1\/25, 1, 29952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4162918 is divided by 55.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 26407*p**2. Let a(o) = 3*o**2. Calculate z(a(i)).\nAnswer: 237663*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.6647149 rounded to three dps?\nAnswer: -172.665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 != -2\/75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 835*s - 3048*s - 1638*s - 56*s - 1 to u*s + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1964 divided by 4?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x. Let p(s) be the first derivative of s**4\/12 - 7*s**2\/2 + 18. Let c(j) be the second derivative of p(j). What is c(q(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26023379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -176.9 * 0.09.\nAnswer: -15.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21131951, 84527789, 190187525, 338111165, 528298715, 760750181?\nAnswer: 1035465569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -65, -210, -495, -968, -1677?\n\"Answer: -8*a**3 + 2*a**2 - 3*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -59. Let n be (-5)\/((-200)\/(-112)) - -4. Factor -n*i + 3*i**2 + 0 - 6\/5*i**g.\nAnswer: -3*i*(i - 2)*(2*i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15 - 47) + 18 - 44) + 6 + 2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1160556.34476 take away 4?\nAnswer: -1160560.34476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -357, -901, -1641, -2565?\nAnswer: -3661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. Suppose 4*l - 76 = -c*l. Solve 2*i + l = 3*w, -2*w = -0*w + 5*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*y + 35. Let p(u) be the third derivative of u**5\/30 - u**3\/3 + 2*u**2. Let f(z) = -4*z**2 + 5. Determine y*f(v) + 5*p(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2. Let c(h) = -5*h**2. Let j(s) = 4*c(s) + 7*o(s). Let b(n) be the first derivative of -n**3\/3 + 1. Give b(j(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001173 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 12*h + 16. Let q be p(11). Suppose 0 = -5*z - b - 23, 3*z = -q*b + 1 - 6. Let a = 857 + -857.3. What is the biggest value in 0.3, 4, z, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 200412 + 2?\nAnswer: 200414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(-34 + 110 + 157)*(-4*f + f + f).\nAnswer: -932*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 4*w = 9*c - 34, 4*c + 3*w - 16 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -0.3, -5, 1\/3, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(1\/5)*z*z*z**(-12))\/(z**(-2\/5)\/z)**(-2\/37) assuming z is positive.\nAnswer: z**(-1457\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 955596712 a multiple of 4676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299)*-2 + sqrt(19) + (-1*sqrt(931) - sqrt(931)) - (3 + sqrt(684)*1*-4)) + 0)**2.\nAnswer: 66*sqrt(19) + 2308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 162 = -3*b, 0 = -2*r + 4*b - 77 - 19. Calculate the remainder when -5 - -2 - r\/2 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1751 and 309?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z - 2. Suppose -2*o - 5*a - 907 = 0, 4*o + a - 160 + 1965 = 0. Let c = -448 - o. Let s(j) = 4*j - 2. What is c*s(x) - 4*i(x)?\nAnswer: -4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 342321030 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 6*x**2 + 4*x + 12. Let k(d) = 6*d**3 - 19*d**2 + 11*d + 35. Let q(g) = -8*a(g) + 3*k(g). Let n be q(8). Round n to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 1, y: 3, j: 3, a: 3, d: 2}. What is prob of sequence jj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -521\/9 (b) -1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**6\/120 + 4*j**5\/15 - 2*j**4\/3 + 3*j**3\/2 - 66*j**2. Let i be y(-17). Which is the nearest to -1? (a) i (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j - 8. Solve -j*v + 7 = -1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 5*l**2 + 6*l + 1. Let b be z(-6). Is 10 a factor of (-2 - -3)*(b + 32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -4, -179, -8, 2 in decreasing order.\nAnswer: 6, 2, -2, -4, -8, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z - 49. Suppose -33 = -3*w - 2*w - 4*n, -w = 3*n - 11. Let y be q(w). Let h be 4\/27*y\/6*3. Which is bigger: h or -6\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17630 - 14 + 48768 = 18*t. Calculate the highest common divisor of 32 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7307 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*x - 75*x = -156. Let w(u) = 8*u - 4. What is the lowest common multiple of w(2) and x?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**13*r*r*r*(r**(-3\/19)\/r)\/r*r)**(10\/9) assuming r is positive.\nAnswer: r**(3010\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(24)\/(sqrt(8)*3))**2 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 77*i + 1143. Let s be q(20). Solve -l - 51 + 52 = -4*p, s*p + 2 = l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.55532 milliseconds to nanoseconds.\nAnswer: 76555320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 4*x. Let y be w(4). Suppose 3*b = -y*b. Suppose 2*n + b*n = 12. What is the remainder when 22 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 + 9)*2 - 20\/7. Let b = -3.1 - -3. Which is greater: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**4 + 4*l - 4\/3*l**3 - 2*l**2 - 126. Factor d(k).\nAnswer: 4*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -60*s + 60*s + 8 + 5*s**2. Let l be u(-5). Suppose 240 = 3*v + r, -3*v + l = -3*r - 95. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3816\/5? (a) 4 (b) -2\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22720069 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7582*s + 16844*s - 40807*s - 24142*s - 43414*s.\nAnswer: -99101*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -391 + 177. Let d = t - -210. Let q(u) be the third derivative of -u**4\/24 + u**3\/2 - 3*u**2. Calculate q(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 70324655?\nAnswer: 70324650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4540.101ug?\nAnswer: 0.000004540101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-48)*-3*4\/15?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 10*s - 3*g + 27, 2*g + 1 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a + 24*a**2 - 68*a**4 - 9*a - 68*a**2 - 20*a**5 - 84*a**3 = 0. Calculate a.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3145661061.6 - 5.\nAnswer: -3145661066.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17494693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10329293, -0.1 in descending order.\nAnswer: 0, -0.1, -10329293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (510\/(-4))\/5*-2. Suppose 0 = -2*t + 7 + o. What is the remainder when t is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {w: 4, p: 3, m: 13}.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -835791 divided by -26961?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 10:47 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 877 = -263. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256912, 256918, 256926, 256936, 256948?\nAnswer: 256962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -20.1. Let j = 0.4 - x. Let v = -0.463 - -0.163. What is the third biggest value in j, v, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -477, -1090, -1959, -3090, -4489, -6162, -8115?\nAnswer: -10354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3405 (base 8) to base 4.\nAnswer: -130011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11113 (base 4) to base 14\nAnswer: -1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10413715 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-234)\/(-7553))\/(3\/7). Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.4 (b) 5 (c) 210\/17 (d) 13 (e) 2\/15 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c + 100*c = -35*c + 167860. Is c a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-16))\/(((-6)\/(-10))\/((-300)\/(-125))).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in -0.01, -12, 0.28, 0.13, -5\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4 = -14. Suppose -4*o + 2*o = 30. Let x be 10\/(-4)*36\/o. Solve 5*l - x*l = 2*a - 3, 4*a - k*l - 18 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/84 + 6\/(-9). Suppose -13 = -15*u + 2. Is u greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 26\/5, 0, -0.5, -14 in decreasing order.\nAnswer: 26\/5, 3, 0, -0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 89*g**2 - 3*g - 18. Calculate n(89).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 228 + -160. Does 27 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -27 + (1 - (6 + 4)). Sort -0.5, 1, j, -0.4, 0.3 in decreasing order.\nAnswer: 1, 0.3, -0.4, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*o + 3 = 0, 2*o = -4*u + 4 + 14. Suppose 0 = 3*z - u, 3*h + 14 = -4*z + 94. Let p = -31 + 43. Calculate the highest common factor of h and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 greater than or equal to -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 16972117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*o + 132*o + 58*o + 132*o - 126*o.\nAnswer: 265*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 3*f. Suppose 2*b - j - 4*j = 49, 0 = -f*b + 3*j + 63. Suppose -3*g - b = -7*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66748\/5 + 13350. Which is the nearest to y? (a) 1 (b) -3\/4 (c) 2\/9 (d) 8\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3287688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*o - 6*o = 15*o + 1482 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8d (base 16) in base 4?\nAnswer: -2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x**(-14)\/x*x))))\/(x*x**(2\/41)) assuming x is positive.\nAnswer: x**(572\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-4)*1 + 1*6. Let a(l) = -9*l + 3 + 9 + 3*l + b*l. Determine a(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7)\/(-168)*(46\/(-6) - 1) and -33\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87620*f**5 + f**2 - 603*f - 29 wrt f?\nAnswer: 5257200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 - 5*y - 1. Let x = -1688 + 1685. What is a(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*q**2 - 12 + 455*q**2 - 154*q**2 - 100*q**2 to the form m*q**2 + f + a*q and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 274. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -24, 0.2, -4, 4\/7, 2818?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((9\/463)\/(-3)). Suppose 4*g - 709 = s. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**2 + 6*y**2 + 7*y**2 - 48943 + 48853 in the form i*y + c*y**2 + m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3780 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-6*-2*sqrt(99) - (sqrt(99) + 4*sqrt(99)*-2))\/(3*sqrt(9)*-2*1) + 1 + 1)**2.\nAnswer: 152*sqrt(11)\/3 + 15920\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*q + 5*o, 2 = 30*o - 31*o. Let w(i) = -i**2 - 3*i + 3. Let g be w(-4). Let l = 9 + g. Calculate the highest common factor of l and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 5*c + 29 = -4*s, 5*c + 25 = 5*s. Suppose 0 = 3*r + s, -5*o - 398 = -9*o + r. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180871901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2 - k - 8. Let j(a) = 5*a**2 + 2*a + 9. Let f(t) = 5*j(t) + 6*u(t). Let n be f(-4). Let y be n\/(3\/2) - -2. Solve -2*x + 2 = -y*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 126*t - 1374. Calculate u(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44703510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23168.72 rounded to the nearest ten?\nAnswer: 23170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1123214302 - 3?\nAnswer: 1123214244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/(-4488) + 1 + (-1317)\/1386.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcvvvcccvvvvcv. Give prob of picking 3 c.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from {f: 1, a: 1, s: 1, q: 2, l: 1, n: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010495528 rounded to six dps?\nAnswer: 0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8\/7, -0.4, 0, -17, 1\/15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2960\/17 + 174. Which is the fourth smallest value? (a) -0.02 (b) k (c) -1\/5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174220957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**3 + 42*b**2 + 4*b - 2. Let y(h) = -3*h**3 + 21*h**2 + 2*h - 1. Give 3*s(p) - 5*y(p).\nAnswer: -3*p**3 + 21*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 12. Let h be y(-14). Suppose -4*x + 8*x = -4. Let d = x - h. Put -2, 5, d in increasing order.\nAnswer: d, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/1050 and 37\/84.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - 3) + 1 - 3. Is (62\/a)\/(3\/15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8330471 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*a - 6 - 12 = 0, -22 = -2*o - 5*a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14948 and 1010?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -975 + 980 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -5 (b) -2\/9 (c) 1 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 10)*(-y**2 - 16*y**3 + 33*y**3 - 16*y**3) to a*y**2 + b*y + l*y**3 + r and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 k when three letters picked without replacement from hhhkhkhkkk?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**2 - 37 + 11 - 43 - 1692*u + 69 = 0.\nAnswer: -846, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**3*r**2*x + 1018497*m**3*r**2 - m**3 + 3*m**2*r*x - 2*m**2*x + 14991*m**2 - r*x + 3*x wrt r?\nAnswer: 6*m**3*x + 2036994*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/((-2)\/1)*(44 + -39). Solve -5*o + l = -0*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 28*a + 128. Suppose -41 = 2*i - d, -27*i = -22*i + d + 113. Determine x(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - -4505590.\nAnswer: 4505590.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -26*p - 11. Let r be m(-9). Let d = 850 - r. Suppose 3*k + d = -3*g + 2769, 1446 = 2*k - 4*g. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 + 17. Let l(t) = -t**2 + 1. Let f(x) = -2*x**2 - 3. Let s(q) = f(q) - 3*l(q). Let k(c) = -4*c. Let r be k(-1). Determine r*y(v) + 11*s(v).\nAnswer: -v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 23141034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.168 in -0.4, 0.5, 2\/21, -2\/17?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 353779531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v - 1 + 16. Let y be (v + -3)*(-24)\/16 + 2. Suppose y*z + 15 = 0, 2027 + 1537 = 3*t + 3*z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1120 = 4*q + 1109, 5*q = -5*l + 45. Solve -2*x = q*i - 0*i - 6, 8 = 3*i + 5*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*i + 33 - 8 = 0, 3*i = 2*k - 19 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1167282446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156881117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - t**2 - 13*t + 5. Let q(w) = -w**3 - 2*w**2 - 13*w + 5. Let f(k) = -3*i(k) + 4*q(k). Is f(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, k: 4, d: 2}. Give prob of picking 2 h and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 15 - ((2\/3)\/((-344)\/516) - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/11 + 16*n\/11 + 17\/11.\nAnswer: -(n - 17)*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 57 (b) 5 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1007 or -1624?\nAnswer: -1624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1890)\/1386*2\/3.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) 0.39 (c) -3 (d) 318 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -111264 divided by -9272?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i = -4. Suppose 4 = h + j - 3, -i*h - j = -22. Suppose -4*v = -a + h, -a + v + 5 = 6*v. Solve 3*d - a*d = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, -3, -20, 0.26 in ascending order.\nAnswer: -20, -3, 0.26, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -27, -10183, -0.1, 9 in descending order.\nAnswer: 9, -0.1, -3, -27, -10183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**3 + 58745*j**2 + 172107320*j - 2594844300 = 0. What is j?\nAnswer: -5882, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 16*b + 8. Let z be p(13). Let a = z - 23. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -16 - 4) + (0 - -3) - -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1046537807?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbohhebpl. What is prob of picking 1 p and 1 e?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10012962*-0.3\nAnswer: -3003888.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 + 10*l**2 + 12*l + 13. Let h(j) = -j**3 - j - 1. Let i(z) = -2*h(z) - o(z). Calculate i(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2050, -2051, -2052, -2053?\n\"Answer: -p - 2049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443398543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 341299757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*15\/12*-12. Suppose 80 = 3*n - 0*d + 4*d, 2*n + 3*d = 55. What is the greatest common factor of n and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50*c + c**2 + 50*c + (-2*c + 0*c + 0*c)*(-2*c + 1 - 1) + 12*c - 12*c - 7*c**2)*(2*c - 3*c - c) in the form z + p*c**2 + s*c + j*c**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 5*n - 926 + 3053, -j = -4*n - 529. Are j and 533 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47707 is divided by 239?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11) - sqrt(99)) + -3.\nAnswer: -3 - sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141729353 or 1?\nAnswer: -141729353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -22) + (-189)\/7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 28 = 28*o - 26*o, -2*f + 14 = -o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11624.1203 + -11637.12030034. Let f = 354 - 341. Let t = f + i. Round t to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(119) - (sqrt(119) + (sqrt(119) - (1*sqrt(119)*4 - sqrt(119)))))\/(-5*-1*sqrt(7)).\nAnswer: 2*sqrt(17)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4420112 - -41?\nAnswer: 4420153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 936056*f**5 + 50*f**4 - 49236080*f**2?\nAnswer: 56163360*f**2 + 1200*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-32)*4*(-2)\/(-30)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 b when three letters picked without replacement from gbbgbgbggbggb?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926472 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1584, 1595, 1612, 1635, 1664, 1699, 1740?\n\"Answer: 3*m**2 + 2*m + 1579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 67, 5, 2, 56, -26 in ascending order.\nAnswer: -26, 1, 2, 5, 56, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/20*(51 - (-4 - -3)). Sort -3, -2, 1, w in ascending order.\nAnswer: -3, -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2. Let k(l) = 35*l**2. What is k(s(x))?\nAnswer: 35*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*1 + -2 + -1)**2 + (sqrt(684) + 3)*-1 + -2.\nAnswer: -54*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 10680 = -14*c + 5*w, 2*c + 3*w = 5338. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3\/5 - 1446*k**2\/5 - 8757*k\/5 - 13176\/5 = 0.\nAnswer: -3, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.89257 + 0.46136. Round p to three decimal places.\nAnswer: -0.431","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 - 31 = -10*q + 132. Calculate the highest common divisor of q and 8057.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(1 - 1 - 1)*(-9*g - 11 + 22 - 8).\nAnswer: -9*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.901 - 0.099. Let y = r + 7.642. What is y rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/10)\/(1\/35). Calculate the common denominator of f\/63 + (-8)\/2 and (-174)\/(-15) + (-4)\/2.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f - 118944 = 95456. Is 100 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21, -37, -53, -63, -61, -41, 3, 77?\n\"Answer: j**3 - 6*j**2 - 5*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 17, 14, -8 in increasing order.\nAnswer: -8, 14, 17, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 1, m: 1, n: 2}. What is prob of picking 1 m, 1 s, and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 + 14*h + 10. Let p be l(5). Let c be p + (-2 - -1) - (5 - 6). Solve -3*x + c*x = 4*s - 6, 2*x - 9 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570 = 4*b + 5*t, 704 = 48*b - 43*b + 2*t. What is the remainder when b is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:49 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 (base 14) in base 4?\nAnswer: -10313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 195059 = 195462 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/343 and 109\/89670.\nAnswer: 627690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5302687 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 1121\nAnswer: 224.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 34, -20.3, -0.06?\nAnswer: -20.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124066352 + -124066175.687062. Let b = x - 176.29. Let j = 0.023 - b. What is j rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q**2 + 2*q)*(-3 + 3 - 2*q) - 2*q**2 + q**3 + 2*q**2 - 66*q + 17*q**3 + 66*q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20 or 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b + 6 = 0. Suppose 2*r - 5*j - 233 = -2*j, -4*r + b*j = -475. Let a = 344 - r. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1054 and 158.\nAnswer: 83266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9923928547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -291, -623, -1015, -1497, -2099, -2851, -3783?\n\"Answer: -5*p**3 - 297*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 3\/8*v**2 - 1\/8*v**3 + 9*v = 0.\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/48111525 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 25*i**2 + 5*i - 3. Suppose 5*u + 4*n = -2, -12 - 4 = -2*u + 4*n. Calculate the remainder when d(u) is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1053 + 681. Let w = -371.9728 - f. What is w rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 347176 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.179885+-2\nAnswer: -2.179885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*z - 53. Suppose -g = t - 4, 0*g = 2*g - 5*t - 15. Suppose -z + 2 = -g*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*i + 5430 = 89*i + 204*i - 25350 for i.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 472\/160*2165 - 2\/(-8). Let l = y + -4486. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 27. Solve 2*p = 3*p + x, z + 4*p = -16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4969 is divided by 4607?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhhq when four letters picked without replacement from qqqhhqqqq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -35, 5, 1, 6 in ascending order.\nAnswer: -35, 1, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpj when three letters picked without replacement from jyjppmjmjjjpmrymm.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 10:12 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*l - 2167 = -5427 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 12:17 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-3)\/(-6)*2))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*s + 109 = -v, 0 = -3*v + 11*s - 257 - 43 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -14420 to the nearest 100.\nAnswer: -14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(27\/6))\/(6\/(-9)). Suppose -n = 4*z - 55, 0 = -2*n + 4*z + 61 + s. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41161.965118 - -41162. Round y to four dps.\nAnswer: 0.0349","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + 4*m**2 - 3*m + 2. Let q = -24 + 26. What is v(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1658 - 27*v - 1658. Let w(i) = 2*i. What is w(f(a))?\nAnswer: -54*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2995423 to the power of 1\/2, to the nearest integer?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3619 = 5*p - 2*m, -4*m = 4*p - 2884. What are the prime factors of p?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 508.9 - 509. Suppose -2*g - 5 = -1. What is the third biggest value in h, g, 0, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-29 + 11)*4\/(-6). Suppose -3*v + 6 = -a. Let k(o) = -o**3 + 7*o**2 - 5*o + 12. What are the prime factors of k(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*f = -2*z - 321, -5*z = -4*f + 535. Let u = z + 315. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -19, -39, -79, -145, -243, -379?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(3\/11)*k*k*k*k**(2\/61))\/(k**8)**(-23) assuming k is positive.\nAnswer: k**(125987\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -638 + 424. Let s = u + 211. Do s and -33 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/12)\/(78\/52)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3856 or 3857?\nAnswer: 3856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -771*c**4 + c**3*q + 2*c**3 + 25*c**2 + 13*q wrt c.\nAnswer: -18504*c + 6*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/10 and -1204 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 134*n**3 + 4*n**2 - 3*n. Let t be l(1). Let f = -1 - -6. What is the second derivative of -t*w**f + 134*w**5 - 10*w - 5*w wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 12.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 908 - 2719\/3. Suppose -2*q = -a + 7, -q = -2*a + 4 + 1. What is the third biggest value in p, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -627, -2054, -4819, -9366?\nAnswer: -16139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b - 12. What is c(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*t, t + 2 = -j - 6. Let y = j - -14. Find the third derivative of -2*p**5 - 13*p**2 + p**5 + y*p**2 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1*sqrt(153)*-2)\/(sqrt(9)*1*-2))*4.\nAnswer: -4*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 272 or 277?\nAnswer: 272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 10*f - 5. Let w(h) = 4*h**2 - 40*h + 20. Let b(k) = 9*r(k) + 2*w(k). Let z be b(6). Suppose -4*x = -3*x - z. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 20633357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 - 67059*b\/2 - 67061.\nAnswer: (b - 67061)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 151 + -155 - (-7 + 0 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24706 + -24704.38448. Let x = q - 1.4345. Let n = 0.18 - x. Round n to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -21. Suppose -l*u - 4*i + 355 = -u, -4*u + 1477 = -3*i. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 5. Let u = -3 + o. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21250?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + r**2 + 1. Let t(f) = -2*f**3 + f**2 + 1. Let u be (-301)\/86*12\/14. What is u*t(d) + 3*i(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*x - 533, 4*x + 2*g - 1030 = -0*x. Let u = 36 + x. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i**2 - 11*i**2 + 1 + 2 + 12*i**2 in the form d*i + z + s*i**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - -333231120?\nAnswer: 333231213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 474 + -214. Let j = p + -503\/2. What is the third smallest value in 3, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 168*d**4 - 34*d**3 + 11520*d**2.\nAnswer: 4032*d - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.54 + 0.14. Let b = 0.8 - 1. What is the closest to 0.1 in b, h, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129\/2 + -65. Let o be ((-3)\/(-4))\/((-3)\/(-2)). Which is the smallest value? (a) 5 (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**23*i)\/i*i*i)**27*i**(-1\/3)*i*i*i**(-2\/113)*i assuming i is positive.\nAnswer: i**(238876\/339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 21 = -2*x. Solve -x*d + 4*d - 2 = 4*h, -4*d - 12 = 4*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 + 8*d**2 - 20*d + 89. Is z(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2577927?\nAnswer: 3, 11, 191, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2. Let z(m) = -6213*m**2 + 1147. What is z(u(l))?\nAnswer: -99408*l**4 + 1147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/7)*q*q)\/q)**(5\/4)\/(q\/q**37)**8)**(-31) assuming q is positive.\nAnswer: q**(-250759\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1805 divided by 19.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 138, 204?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -31. Solve 0 = g - k - 1, -g = -u*k + k - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 2*l + 3. Let o(s) = s**3 + 5*s**2 - 7*s. Let d be 0\/((-9)\/(-3)) - 6. Let z be o(d). Suppose -z*h = -4*h - 6. Calculate b(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 5*f**2 - 7*f - 3. Let o be l(-6). Suppose -4*h = -o*h. What is the second derivative of 0*z**5 + z + h*z - z**5 wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/59, 2\/61, -16?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h - 4306*h**2 - 4319*h**2 - 2 + 8646*h**2 + (4 - 6 + 0)*(h**2 - 2*h + 2*h) to the form z*h + x + a*h**2 and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2050, 2044, 2036, 2026, 2014?\nAnswer: 2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from wnxmwhcc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 19 (c) -0.5 (d) 156 (e) -2\/15 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 - 31 = 47*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 13 = -3*p, -12*g + 19 = -16*g + p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) + 55\/(-20). What is the remainder when 15 is divided by (18 - 2)\/(5 + m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*i + 429*k - 432*k - 9 = -0*i, 0 = -51*k - 51 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = 4*w - 4, 245*c - 44*w = 241*c - 42*w + 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 - 8*z - 6. Let v(r) = -r**2 - 3*r + 4. Let n(s) = -s**2 - 4*s + 5. Let w(i) = 3*n(i) - 4*v(i). Let f(b) = -h(b) - w(b). Give f(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14825000 to the nearest 100000.\nAnswer: 14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 35208 divided by 1956\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5078 - 26123. Let z = 16747\/4 - c. Calculate the common denominator of z and (-6)\/12*58\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14017 - 280397\/20. What is the common denominator of 8\/54*13\/(4784\/7521) and i?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = z - 261. Let -86*v - 6721*v**4 + z*v**2 - 51*v**3 - 10*v + 6490*v**4 + 147*v**5 + 12 = 0. What is v?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**2 - 13. Let l(y) = 2*y**2 - 3. Let t(u) = 6*g(u) - 26*l(u). Let b(z) be the third derivative of z**5\/20 + 14*z**2. Give b(t(r)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2743997?\nAnswer: 73, 37589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 21*n**2 + 24*n - 40. Let v be w(22). Suppose -8*j + 10*j + v*g - 4890 = 0, 0 = -3*j - g + 7355. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20460 to the nearest 100.\nAnswer: -20500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20a + -3881?\nAnswer: -3672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - c = -101, f + 54 = 2*f + 4*c. What is the remainder when f is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 - 26 + 241*t**2 - 697*t**2.\nAnswer: -456*t**2 + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2866860*0.1\nAnswer: 286686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -79*u - 7. Let i be s(-5). Suppose -2*f + i = -5*l, -3*f - 393 + 975 = 3*l. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s*s*s**(-1\/12)*s)\/(s\/(s*s\/(s*(s*s*s**0)\/s)*s))*((s*(s**(-4)\/s)\/s*s)\/s)**(-27))**(-4\/5))**(-2\/23) assuming s is positive.\nAnswer: s**(146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71820066 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 1)*(j**5 + 3*j**3 - 3*j**3) + 3*j**5 - 3*j**5 + 2*j**5 + 3*j**5 - 3*j**5 - 2*j**5 + (2*j**2 - j**2 - 3*j**2)*(-2*j**3 - 4*j**3 + 4*j**3).\nAnswer: 9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 676183808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = -4*o. Suppose 2*t + 10 = 5*t - i, o = t - 2*i. Solve -3*m + 1 - t = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3222564853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-6)*(23 - 3))\/(160\/120). Solve 11*y = 4*x + 12*y - 4, v*x - 20 = -5*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (12 - (6 - 7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 51?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l**2 + 2*l - 2. What is the units digit of m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 472171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * 3599662.\nAnswer: 61194254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 7*s + 14 = -5*c, 5*s + 2*c + 17 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 183*v - 181*v, 5*j = 4*v + 45 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 125 + 317 = 0. Suppose b = 5*n - n. What is the remainder when n is divided by (9\/(-4))\/(11\/(-44))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1000, 2002, 3004, 4006, 5008, 6010?\n\"Answer: 1002*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 + 26*y + 18. Suppose 0 = -55*l + 56*l, i + 3*l + 12 = 0. Calculate the remainder when j(i) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4 + 1 + sqrt(243))**2 + ((1 + 1*sqrt(432))**2 - sqrt(432))).\nAnswer: -84*sqrt(3) + 1370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 330 and 100.15?\nAnswer: 33049.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/63, 4, -3?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39695 - (-3 + 0 + -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 4*w - 4*w + (0*w - 2*w + 0*w)*(3 + 1 - 5) + 3*w + 0*w + 2*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2039227 millilitres to litres.\nAnswer: 0.0002039227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23271 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-150)\/(-7)*(-27236664)\/(-1404). Round o to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015433 to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1325 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**5 - 4*q**5 + 0*q**5 + (-13 - 36*q + 4 + 10)*(-3*q**4 + 0*q + 0*q).\nAnswer: 104*q**5 - 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 + 41 = 21*v - 118*v. Solve -3*o + 19 = p + v, -5*o = -2*p - 41 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 9 = 0, -m - i + 10506 = 10513 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2 - 2*j + 1 - 13. Let f be y(-7). Solve -4*o + 3*m - 3 = 3, f = 5*m + 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*d + d. Suppose -n = -d*q + 50, 7*q - 3*q - 40 = -4*n. Solve -4*f + 18 = -5*h, -h - q = -4*f - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58661?\nAnswer: 58661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**4 - 3*z**3 + z - 3. Let h(l) = -l**3 - 1. Let w(s) = f(s) - 3*h(s). What is the second derivative of w(x) wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8 - (-255)\/60?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxkxxsxsssb. Give prob of picking 1 k and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101001000001 (base 2) to base 16.\nAnswer: -4a41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 192.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*u + 10, -p - 2 + 0 = -u. Suppose -2 - 18 = -4*j, p = g + 4*j - 479. Suppose -g = -4*f + 81. What is the greatest common factor of f and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (sqrt(396) + sqrt(44))\/sqrt(4)*-3)**2.\nAnswer: 9504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 4*z**2 - z + 4. Let x be a(5). Let o be x*-3*3\/(-4). Suppose 0 = 2*y - 34 - o. What is the least common multiple of 22 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19183 = -1316*y - 15033 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4518605 at most as big as -40667437\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(19\/4)\/(z\/z**(20\/7)))\/((z*(z*z*z\/(z*z\/(z*z**(1\/4)*z*z)))\/z)\/((z\/z**12)\/z*z*z)) assuming z is positive.\nAnswer: z**(-107\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110710 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76907.\nAnswer: 76907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7857 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61668, -61669, -61670, -61671, -61672?\nAnswer: -61673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 5:57 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*w - 29. Suppose 3*x + w + 11 = 0. Let r(g) = 2*g**3 + 3*g**2 - 9*g + 7. Let z(b) = b**3 + b**2 - 4*b + 3. Let l = 1 - -2. What is l*r(s) + x*z(s)?\nAnswer: -s**3 + 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 6*z**2 - 6*z - 4. Let m be w(7). Let b be 576\/5 - m\/15. Suppose -f + 4*f - q = b, 4*f - 160 = 3*q. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -0.2 (b) -22 (c) -2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**7\/21 + 11*n**5\/20 - 7*n**4\/6 - n + 26. Find the third derivative of l(h) wrt h.\nAnswer: -120*h**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2080770 is divided by 2878.\nAnswer: 2854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/59 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -112212481, -224424956, -336637431, -448849906, -561062381, -673274856?\n\"Answer: -112212475*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 3908.6?\nAnswer: -390.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2345232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258510 (base 12) to base 7.\nAnswer: 5143425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(1404)*-3)\/(6*4*sqrt(3) - -3*(sqrt(3) + sqrt(6)\/sqrt(2))).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121215 - 5?\nAnswer: 121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.114 and -281.\nAnswer: -32.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -34*c + 551. Give j(17).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w + 30 = 0. Let d(r) = 7*r - 14*r**2 + 1 + r**3 + 2*r - w*r. List the prime factors of d(14).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-7))\/((-9)\/9).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 18340.\nAnswer: 91700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/408*(-20)\/(-25)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -14cf?\nAnswer: -14d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/5 - (-7)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**5\/20 - r**4\/4 - 7*r**3\/6 - r**2\/2 + r. Suppose -x - 108 = -10*x. Calculate the least common multiple of l(-5) and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708256 smaller than 1708256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:45 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -1708?\nAnswer: -1699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, a: 2}. Give prob of picking 2 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 - i - 2. Let h be o(-1). Let r(n) = -3*n**2 - 4*n - 4. Let v(f) = -f - 1. Let y(t) = h*v(t) + r(t). Let p(b) = -3*b. Determine y(p(c)).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 0*v**2 + 23*v - 3 - 23*v + 156*v**3 - 8 - 2*v**2. Is y(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4015*m - 9401 + 64066 = -133364 + 35459 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 + 1.2. Which is smaller: -213 or p?\nAnswer: -213","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**4\/2 - 5*t**3\/3 - t**2 + 3*t - 2. Let l be k(6). Suppose 5*x + 43 = l. Calculate the highest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14133*b - 13935*b - 61 - 15*b**2 - 155.\nAnswer: -3*(b - 12)*(5*b - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 18*i**2 + 21*i + 36. Let q be f(-19). Find the common denominator of 40\/7*18\/(-15) and 8\/(96\/q)*(-1 - -123).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 53457.\nAnswer: -320742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from unaazbrrznbzaba.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-28)\/10)\/(11\/(-110)) is divided by (1 - -31)*35\/70.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1723495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11183544 divided by 6\nAnswer: -1863924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, 482 in descending order.\nAnswer: 482, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/(-15))\/((-4)\/3). Let y(w) = -w. Let c(l) = l**2 - l. Calculate x*y(p) - 2*c(p).\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 1025755.9.\nAnswer: 8206047.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4077679\/125 + 32621. What is the common denominator of m and -49\/17?\nAnswer: 2125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 61, 1372, 3.\nAnswer: 3, 5, 61, 1372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-386)\/1351 + 38\/(-14). Put -659, -2, s in decreasing order.\nAnswer: -2, s, -659","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(180)*-2)**2*3 + -3*-6*sqrt(180)*1)*5.\nAnswer: 540*sqrt(5) + 10810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2445 - 3493. What is the common denominator of (-2)\/15*(-185)\/8 and 1\/8*m\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 9:41 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12080 and 16.\nAnswer: 12080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-1)\/2*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*b + 1374, -4*b - 928 = -6*b + 5*u. List the prime factors of b.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7))\/(1014\/99372)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 101624*-581.1\nAnswer: -59053706.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 692 bigger than 690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*j = 32*j - 47*j + 2488 + 17557 for j.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7840, -31836, -71890, -128002, -200172, -288400?\n\"Answer: -8029*g**2 + 91*g + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 11*n**2 + n + 2. Let t be y(-11). Which is the nearest to 2\/3? (a) t (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-442)\/130 - (4 - 9). Solve -2\/5 - 6\/5*f + g*f**2 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -1\/70*f**7 + 15*f**2 - 1\/2*f**3 + 1\/10*f**6 + 0*f + 1\/2*f**4 - 3\/10*f**5 + 0. Factor c(z).\nAnswer: -3*(z - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318*(78\/36 - 1)?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - d + 6 = -2*d, 2*l - 6 = 4*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2612620.\nAnswer: 2, 5, 130631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211213 is divided by 179?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7494\/4 - 1\/(-2). Let j be -1 + m\/(-68)*2. Let o = 8809\/170 + j. What is the common denominator of -43\/8 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + ((-6*(sqrt(700) + 0 + sqrt(700)))**2 - (-2*sqrt(700)*3 + sqrt(700) - sqrt(700))**2)).\nAnswer: -453630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 73850*h**2 + 738955*h - 665100.\nAnswer: -5*(h - 9)*(h - 1)*(h + 14780)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from mgtagiab?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**4\/4 - 2*t**3 - t**2 - 3*t - 4. Let m be (-4)\/(-18) - 112\/18. Is 9 a factor of r(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 36 = -5. Let t = -22 - -67. Let g = -34 + t. What is the remainder when m is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 + 6*g**2 + 4. Suppose -92 = 18*n - 200. Let b(l) = -5 - 6*l**2 + 2*l**3 - 4*l**3 - l**2. Determine n*r(i) + 5*b(i).\nAnswer: 2*i**3 + i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5 = 26. Solve -3*i - i + z = d, 2*i = 5*z + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 9) to base 12.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 878489454?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-2\/39)*u))\/((u*u**(1\/16)\/u*u)\/u)*u**(-6)\/u**(6\/5) assuming u is positive.\nAnswer: u**(-22499\/3120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 6119208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23, 3, 2.25?\nAnswer: 2.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -383 - -735. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 5. Let w be m(-5). Let v be 10\/(-40) + 383\/(-36). Let r = v + 365\/36. Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109219521 to the nearest integer?\nAnswer: 10451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 3*c + 6 = -9*b, 5*b - 3*c = 66. Solve -2*k - 6*n = -4*n + b, 14 = k - 3*n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j**3 - 3*j)*(7 - 18 + 39)*(2*j**2 + 0*j**2 - j**2).\nAnswer: -28*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 166\/(-332) + (-3)\/(-9)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g - 83. Let r be h(-31). Let j(q) = -4*q**2 + 38*q + 21. Let v be j(r). Solve 2*u = -5*f + 24, 0 = -2*f - 4*u + v + 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - l = 0, 10 = 2*a + 7436*l - 7437*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*l = -234 - 50, -l = 4*j - 274. What is the remainder when 274 is divided by j?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/10 + 0)*1\/4. What is the nearest to -2\/3 in 0, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-160)\/(-280) + 1140\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67157\/4 - 31695\/2. Is 942 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 w when three letters picked without replacement from {p: 1, w: 1, q: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 4 = -2*u. Let z = 27 - u. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/6 - 581*z\/6 + 5145.\nAnswer: -(z - 49)*(z + 630)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -609\/10, -3.\nAnswer: -609\/10, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f + 4. Let r(d) = -10*d - 3. Give 4*c(a) + 5*r(a).\nAnswer: -10*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 176, 268, 422, 638?\n\"Answer: 31*i**2 - i + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 1366452?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 6:28 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 56*k**2 + 14*k - 3. Suppose 55 = 28*b - 29. What is the units digit of l(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*r**2*s*z + r**2*s + r*s*z + 3*r*z + 2*s - 2012*z wrt r?\nAnswer: 32*r*s*z + 2*r*s + s*z + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 601, 1247, 2259, 3739, 5789, 8511, 12007?\nAnswer: 16379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + 3*f**4 - 3*f**4 + 8*f**5 + 8*f**5 + 19*f**5 + (3*f - 3*f - 2*f)*(15*f**4 + 2*f**4 - 3*f**4).\nAnswer: 9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-2*3\/6). Let u(f) be the second derivative of -1\/6*f**3 - 3\/20*f**5 - 1\/30*f**6 + g - 1\/4*f**4 + 0*f**2 + 2*f. Solve u(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.18 + 0.22. Suppose -4*p + 8*p = 4. Suppose 3*m - n = -1 + 2, -5*m + p = -2*n. Which is the closest to -0.03? (a) z (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -335888 and -88 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*m, -3*m + 7 = 15*j - 11*j. Sort m, -4, 10, 17 in decreasing order.\nAnswer: 17, 10, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {c: 5, x: 2, l: 13}?\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 6*t**2 - 8*t - 4. Let u be i(-7). Find d, given that u*d**2 - 113*d**3 + 108*d**3 + 12*d**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1725*s**2 - 12*s - 1109*s**2 + 997*s**2 - 51 - 31 wrt s.\nAnswer: -3674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, f: 1, j: 2}. Give prob of picking 2 j and 1 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7130, 28401, 63814, 113369, 177066, 254905?\n\"Answer: 7071*z**2 + 58*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.28 - -4.32. Let l = g + -5. Which is the second biggest value? (a) 2 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34762 and 13356.\nAnswer: 33162948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -292 + 284. Let r be 1\/((-7)\/42) - b. Let x(t) = -t**2 + t + 4. Let v be x(0). Solve r*p = -2*p - v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8*1246.02.\nAnswer: 2242.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/(-90) - (44\/30 - 1). Let a be (-2 + 7)*(4 + (-756)\/190). What is the closest to r in a, 3, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 - -118. Factor 94*j**2 + 7*j**3 - 99*j**2 - 4*j**3 + 2*j**w.\nAnswer: 5*j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20365105.\nAnswer: 5, 29, 140449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 243754 (base 15) to base 11\nAnswer: a84061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 56 + 15 = 32. Sort 5, k, -4, -1, -11 in ascending order.\nAnswer: -11, -4, k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**3 + 2*x**2 + 21*x - 7. Let g(p) = -7*p**3 + 3*p**2 + 38*p - 13. Calculate 6*g(f) - 11*r(f).\nAnswer: 2*f**3 - 4*f**2 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22\/6 - 2)*-3. Let n(v) = 3*v**2 - 10*v - 8. What is the hundreds digit of n(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**3 - 11*j**3 - j**3 - 3*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 459592033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 455 + -455.000828. What is z rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*x + 24, 12*x - 5 = -f - 85. Solve -2 = c - f*p, -70*c + 4 = -66*c - 4*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) 5\/2 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmei when four letters picked without replacement from vvzivvizivmvivemz.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28 + 95624.\nAnswer: 95623.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-6) + 18\/4. Let x = 255 + -257. Sort 0.02, p, -5, x in descending order.\nAnswer: p, 0.02, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/15 - (-50)\/(-15) - -12. Suppose 171 - 555 = -3*b. What is the greatest common factor of r and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1223.29579 and -0.103?\nAnswer: 1223.19279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 21230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -319847.19999872 + 319847. Let i = -3 + 3.2. Let n = i + f. What is n rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11 + 10 - 32 + 8 + 88*b. Let d(h) = -3*h. Give x(d(p)).\nAnswer: -264*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -17*y**2 - 80*y - 176. Let i(h) = 10*h**2 + 40*h + 88. Let w(j) = 4*b(j) + 7*i(j). What is o in w(o) = 0?\nAnswer: -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 5*c + 28. Let r be b(-10). Suppose -3*d + 5*a = -4*d + 278, d + 2*a = r. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, j: 16}. Give prob of sequence jvjj.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25540207753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*c + 43. Let s(h) = -h + 45. Let k be -8*((-7)\/2 - -5). Calculate the remainder when s(k) is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 167, -3, 1, -60 in decreasing order.\nAnswer: 167, 6, 1, -3, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2273, -2356, -2439?\n\"Answer: -83*z - 2190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -6*z**3\/7 + 7470*z**2\/7 + 6426*z + 67554\/7 = 0.\nAnswer: -3, 1251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13730 and 180?\nAnswer: 247140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 7*d - 120 = -4*d, 3*d = o - 0*d + 42 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 23*h**2 + 3. Let d be y(23). Differentiate -5 - 17 - 1302*i**d + 1314*i**3 wrt i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758224.\nAnswer: 2, 47389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 5802130?\nAnswer: -1\/2901065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -2*a + 11, 5*x - 2*a + 12 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let v(y) = 15*y + 17. Let w(n) = n - 6. Let p(l) = -v(l) - 3*w(l). Give 4*m(o) + p(o).\nAnswer: -14*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1121020 + 20120?\nAnswer: 1201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 659564761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i - 33. What is s(15)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-200)\/16 - 6)\/(5\/30). Sort -5, 3, o, 0 in descending order.\nAnswer: 3, 0, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sswsyyswws. Give prob of sequence ysw.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1618 - -1946. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2176719 + 2.\nAnswer: 1.7823281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3 + 3)*((-614 - 791 - 349)*(3 - 6 + 2) + (3 + 0 - 1)*(4 + 1 - 6) + 3 + 0 - 1 - 1 + 2 - 2).\nAnswer: 3506*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b + b + 0*b)*(-b - 2*b + b) - 2*b**2 - 2*b**2 + b**2 + 1 - 1 + b**2 - 3*b**2 + 0*b**2 + b**2)*(-2*b**3 + 5*b**3 - 2*b**3).\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 460 and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 11*a**2 - 10*a + 9. Let x be w(-10). Suppose 0 = -x*m + 6*m + 6. Suppose m = 2*v + s, 2*v + 3*s = -s + 8. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjmjejlljflmmjlemoeo. Give prob of sequence fel.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**4 + l**4 - 2*l**4)*(-2 + 7*l + 2) + (-l**2 + 2*l**2 + l**2)*(3*l**3 + l**3 - 2*l**3).\nAnswer: 11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10268*l + 3 = 10269*l, 0 = -3*z - l + 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61 and 17376887?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 157 = -70 + 281 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3980 is divided by 3448?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -11*k**2 + 8*k - 49. Let s be p(4). Let y = s + 198. Solve 3*h - h - y*t = 30, 5*h = 5*t + 45 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 323 + 299. Suppose -8 = -4*u + m, -2*u - 892 = -3*w. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (sqrt(275) + -4*4*sqrt(275)))\/sqrt(11))\/(4*sqrt(405)*1).\nAnswer: 4*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4\/4 - y**3 - 7*y**2\/4 + 5*y\/2 = 0?\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0 + 0)*(-1 + 6 - 2)*(-2 + 5 - 4) + (4*b - 4*b - 3*b)*(-9 - 1 - 8).\nAnswer: 57*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2141?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 8:58 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - z**2 + 26*z - 14. Let c be d(-6). Let w be ((-3)\/9)\/(c\/(-30)). Let h = 83\/2 - 403\/10. Put w, h, -2\/7 in descending order.\nAnswer: h, w, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 290313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -13*u**2 + 3*u**2 + 11*u**2. Let l(k) be the first derivative of 1 + 0*k**2 + 0*k + 5\/3*k**3. What is o(l(q))?\nAnswer: 25*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50848 smaller than 40748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 429505123 or 429505122?\nAnswer: 429505123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r. Let x = 926\/11 - 14308\/165. Calculate the common denominator of x and 3 + (-32)\/(-60) + r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*i**3 + 228*i**2 - 13*i**3 - 133*i + 889*i - 1944 + 4*i**4.\nAnswer: 4*(i - 9)**2*(i - 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249, -507, -765, -1023, -1281, -1539?\nAnswer: -1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 616695 + 8.\nAnswer: 616703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 623, 248, -377, -1252?\nAnswer: -2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*z + 49966 - 448*z - 49966 - 557*z.\nAnswer: -679*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2. Let t(c) = -323605572*c**2. Give g(t(d)).\nAnswer: -104720566229447184*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/15 + 2 - -3. Let z = -0.07 + 6.07. Let q = -0.6 - -0.6. What is the second biggest value in z, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9 - 84*s**2 + 46*s**2 + 45*s**2 - 7*s. Let r(k) = 4*k**2 - 4*k - 5. Give 5*r(t) - 3*x(t).\nAnswer: -t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36 and 4081081893.\nAnswer: 4081081857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/15)\/(10\/25). Let l be (7\/56)\/((-1)\/(-2)). Is z < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.162 - 4509.346.\nAnswer: -4509.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 - 10*a)*(-367 + 367 + 4*a**4).\nAnswer: -40*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 1. Let i be b(1). Let t(q) = -3*q**2 + 1 - q + i*q**2 + 2*q**2 + q**3. Let a(x) = -x - 2*x + 45 - 44 + 2*x + x**2. Calculate a(u) - t(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4784113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.0555, 1\/5, 2.3, 2\/7?\nAnswer: 0.0555","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 5*l**2 - 4*l - 5. Let v be 3\/(-9) + (-2)\/(-6). Let a = v + -4. Calculate c(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, c: 3, g: 5, r: 1}. Give prob of sequence rucg.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*k - 25, -3*l + k - 12 = -6*l. Let w = 1272 - 1270. Find j, given that -l*j - 10*j + j**w + 2*j**2 - 3*j = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 58382 and -2.8.\nAnswer: -163469.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/115740 and -38\/318285.\nAnswer: 1273140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (-4)\/(8\/18). Let y = 7 + l. What is the units digit of 3\/9 + (2264\/y - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2, -13\/4, 0.23.\nAnswer: -13\/4, 0.23, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 + l**2 + 0*l**2 + (3*l - l + 0*l)*(-3*l - 3*l + 3*l) + (2*l**2 + 0*l + 0*l)*(-2 + 0 + 4) to the form n*l**2 + z + a*l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -8. Let k(y) = 7*y - 3. Let l(z) = 1. Let d(m) = 6*m - 7. Let j(s) = d(s) + 4*l(s). Let x(a) = -5*j(a) + 4*k(a). What is x(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -399, -780, -1301, -1956?\nAnswer: -2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:51 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -5*i - 31*f + 27*f, 0 = 5*i + 3*f - 29 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 + -307\/4. Let r = -353 + 1168\/3. Let o = r + -37. Which is the nearest to o? (a) 2 (b) -2\/9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 32*q - 141. Let t be j(-31). Which is greater: t or 791?\nAnswer: 791","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(84) + sqrt(84) + (-1*sqrt(84) - sqrt(84)) + sqrt(84) - sqrt(84)) + -3*sqrt(84)*2)\/(sqrt(96)\/(1*sqrt(8)*1)) + 1)**2.\nAnswer: -12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238 or 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, x: 2, q: 9}. What is prob of sequence rqr?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 12*y**2 + 12*y - 7. Let m be f(-11). Does 14 divide m\/(-6) - (-20 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 8. Let v(g) = 1. Let t(i) = s(i) + 6*v(i). Let o be t(0). Is (o + 4)\/(-2) + 98 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 629950 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1092, -2256, -3452, -4680, -5940?\n\"Answer: -16*h**2 - 1116*h + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/sqrt(5)*-3 + sqrt(19) - (-5*(sqrt(19) + sqrt(19)*1))**2.\nAnswer: -1900 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11510, -11514, -11520, -11528, -11538?\n\"Answer: -j**2 - j - 11508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3061 (b) -2 (c) -3197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-14)\/3))\/(24150\/780 + -31)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -18*o - 15. Let h be z(-2). Let c be 2072\/h*6\/16*6. What is the greatest common divisor of c and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -34*s**2 + 68*s + 2. Let a be j(2). Solve 3*o - 17 = 5*b, -5*b + a*o = -0*o + 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -339 + 170 + 495*n + 169 - n**3 to i + k*n**2 + t*n**3 + q*n and give q.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 722 divide 28861228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**4\/20 + 22*d**3\/15 + 289*d**2\/10 - 62*d + 4792. Factor l(x).\nAnswer: -(x - 31)*(x - 1)*(x + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((4 - 2) + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93100 and 8246.\nAnswer: 2886100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 13 - 1 = 3*l, -w = 4*l + 22. Let r = w + 8. Suppose c - 16 = -4*m, 2*m + r*c - 11 = -3. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*a**2 - 1033*a**2 + 429*a**2 + 428*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 2*f**2. Let q be t(2). Let p(u) = -u**2 - 5*u - 6. Let g be p(-6). Let s = g + 9. Sort 1, q, s in descending order.\nAnswer: 1, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384*y = -347*y - 190920. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24461794.\nAnswer: 2, 7, 1747271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 + i - i + (-i - i + 3*i)*(2*i - 3*i - 4*i).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84150.\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2 + (-3 - 1 + 2)*(-1 + 0 - 1) - 2 + 4 + 0 + (-4 - 2 + 7)*(1 - 1 - 2))*(-43*t + 5*t + 6*t).\nAnswer: -96*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5257, -10487, -15717, -20947, -26177?\nAnswer: -31407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1666663 and 578?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -0.1 (c) 2\/7 (d) 1.7 (e) 5\/907 (f) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 974*m + 124*m = 16470 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*o**2 - 239*o - 36*o**2 + 77*o**2 + 50*o**2.\nAnswer: 2*o**2 - 239*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 0.5 (b) 1\/4 (c) 1 (d) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45462\/7 or 6496?\nAnswer: 6496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**2 + 35*m - 36619. Let t(k) = -2*k**2 - 10*k + 12205. Determine -2*b(w) - 7*t(w).\nAnswer: 2*w**2 - 12197","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5708452 is divided by 15182?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - ((-30 + 2 - -15) + (20 - 0))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + l + 7 = 0. Let i be (l + 1)*13\/26. Suppose -z + 182 + 65 = 3*c, i = 4*c - 4*z - 356. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 52.95. Let h = -0.05 - w. Which is the biggest value? (a) -5 (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10164 + -81197\/8. Let k be (-108)\/(-8) + (-1)\/(-4). Let p = x - k. Calculate the common denominator of p and 51\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 19553*v**3 + 4*v**2 - 4*v. Is w(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + sqrt(1573) + -1)*-3)**2 - (2 + sqrt(130)\/(sqrt(10) + sqrt(640)) + (2 + sqrt(468))**2).\nAnswer: 8693*sqrt(13)\/9 + 13908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*a + 14, -6*a - 8 = -5*a - 5*m. Is 13 a factor of a*2\/(-4) + 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49*t**2*u - 473860*t*u**3 + 11*u**3 - 7*u**2 - 5*u + 2369 wrt t?\nAnswer: 98*t*u - 473860*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**4\/12 - d**2. Let w(n) be the first derivative of 0*n - 7\/2*n**2 - 1. Give y(w(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:33 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 12. Let a = -10 - 7. Let c be l(a). Suppose -39 = -c*m + 51. What is the remainder when m is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. What is the tens digit of 15 + (1 - -1) + y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 43. What is the nearest to i in 0, -1, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 12. Let g be n(9). Let w = -5 + g. What is the greatest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**4\/4 + 77155*p**3\/4 - 983076*p**2 = 0.\nAnswer: 0, 51, 77104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 0) + (1 - 2 - 0). Suppose -19 = -3*v - 5*o + 12, 4*v - 4*o + 12 = b. Solve -3*h + 0*h = -v*m + 13, 5*m - 30 = 5*h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60*(40\/(-42) - (-2)\/7). Let d = p - -75. Suppose 0 = 5*y + 5*g - d, -10 = -3*y - 2*g + 6. Solve c - 2 = -3*v, 4*c + y = -3*v + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + 1*sqrt(2448)*-2 - (sqrt(2448) - (0 + sqrt(2448)*1 + sqrt(2448)))*5)*-6)**2.\nAnswer: 93312*sqrt(17) + 28554768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3bb406 (base 12) to base 13\nAnswer: 28a697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*t*v**2 - 449*t*v + 1396888*t + v**2 with respect to v.\nAnswer: 24*t*v - 449*t + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961252571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9035?\nAnswer: 5, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 11*n**2 - n + 10. Let d be i(11). Which is smaller: d or -9\/31?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y. Let f(d) = -15*d**2 + 33*d - 33. Let q(t) = 6*t - 2 + 6 + 2*t**2 - 10*t. Let r(m) = 4*f(m) + 33*q(m). Determine b(r(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18910 is divided by 88?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -6 - ((57 - 50 - (5 - -3)) + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 10869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.3 - -0.6. Let n = -45.7 - v. Let s = n - -61. What is s rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 8. Let w be i(12). Suppose -7*s - s = -w. Solve -r - s = -0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 12*l - 27. Let z be t(8). Let g be (-122)\/(-427) + z\/(35\/(-2)). Let -2\/7*m**2 - 12\/7*m**3 - 18\/7*m**4 + 0 + g*m = 0. What is m?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 58*z + 21. Let j = 21 + -14. Is y(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 18584 + 18586 - 74345 + 18583 + 18587.\nAnswer: -2*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/1*-1*(-93)\/(-186)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t + 4*m - 200, -250 = -5*t - 2*m. Let n be (2 - 21\/15)*5. Suppose 0 = n*f - 0*f - 60. What is the greatest common factor of t and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z + 1. Let g be n(1). Suppose 6*t + g = t, -t - 10 = -3*w. Solve -j = 2*k + 10 - w, 5*j - 21 = 4*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 6*w - 4. Let g be u(5). Suppose -3*v - 4*z = -8, 5*z = -2*v - g + 11. Solve -4*d = -v + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -28*v + 328. Let z be c(11). Suppose 3*n + 6 = 5*n. Solve -n*l + z = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-1)*t)**(-2\/3))**38*((t*t\/t**1)**34)**(-1\/6) assuming t is positive.\nAnswer: t**(-107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2383 divided by -5?\nAnswer: 2383\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2294493, 9, 0.8?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8*(-12)\/144)\/((-1)\/6). What is the remainder when 259 is divided by x\/14 - (290\/(-14) - -1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.918 - -0.418. What is the smallest value in 1, i, 7\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -t - 5, -5*g + 23 = -2*t + 3*t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**2 - 159*i + 178. What is the remainder when 1506 is divided by w(-28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/2 - 3\/6 - -154.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4f513 (base 16) to base 11.\nAnswer: 2020a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -750*n + 748*n + 97 - 3 = -4*f, 3*f - 18 = 31*n for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.961 - 1.0069. Let m = b - -0.04064. Round m to four decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -962, -936, -910, -884?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -110466, -110461, -110462, -110469?\n\"Answer: -3*v**2 + 14*v - 110477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 177888688\/(-32) - (-1 - (-4)\/8). Let m = -3195021 - g. Round m to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4*q = -0*p + 4, 4 = -4*p + 4*q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -104*b**2 - 137*b + 5. Let c(k) = -101*k**2 - 137*k + 6. Let p(a) = -5*c(a) + 6*q(a). What is the second derivative of p(h) wrt h?\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 0.3. Let b = -3.2 + 3. Let x = 323\/240 - 1\/80. What is the second smallest value in x, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - a. List the prime factors of 1 - a - (3 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 36*j - 404. What is h(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 5*q**2 - 1\/42*q**7 - 1\/24*q**6 + 0 + 1\/6*q**5 + 0*q**3 + 0*q + 0*q**4. Determine f so that z(f) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9729*j**2 + 153. Let t(o) = 3*o. What is h(t(s))?\nAnswer: 87561*s**2 + 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 103821000 to the nearest one million.\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - 20*l**2 - 17*l + 9. Let m be p(-9). Suppose m = -g + j + 1121, 5*g - 5587 = j - 5*j. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -101?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 - 90 + k + 62 + (-1 - 2 + 1)*(2*k + 4*k - 5*k))*(-12*k - 4*k + 5*k).\nAnswer: 11*k**2 + 836*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5) + 4 + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -214804350 divided by 146925\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.037355 centimeters in nanometers?\nAnswer: 40373550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9851 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 4:53 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -270*j**2 - 197*j**2 + 1104*j**2 - 346*j**2 in the form u*j**2 + z + r*j and give u.\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -112*d + 35*d - 133*d + 1050 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189) - sqrt(21))\/sqrt(3) + (sqrt(112)\/sqrt(4) - sqrt(28))\/sqrt(4) + -2 - (5*((sqrt(175)*2 - sqrt(175)) + sqrt(175) + 4))**2.\nAnswer: -17902 - 1998*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*i - 46, -19*i = -22*i + 4*v + 55. Suppose 9*h = -i*h + 78. Solve 5*n + h = -x, -5*n - 1 = -3*x - 10*n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152005 (base 8) in base 2?\nAnswer: -1101010000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7 - 5*r + 7*r + 5*r + 0*r. Is w(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8543*h**2 - 1773*h**3 - 8541*h**2 - 8418*h**2 + 25502*h**2.\nAnswer: -1773*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11874441610 rounded to the nearest 1000000?\nAnswer: 11874000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1369152*1\nAnswer: 1369152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 85\/13 (b) 1098 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-53.\nAnswer: 21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 1195904?\nAnswer: 1195904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1065.24 from 36081790.\nAnswer: 36082855.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 60. Let p be (20\/(-130))\/(s\/22). Let l = p + -3\/13. What is the third smallest value in 2, l, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 81, 102, 95, 42?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -1\/5, -6274, -6, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66527 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-15)\/(-890))*9\/(-2). Let s = -1867\/7 - i. Factor -4\/7*r + 6\/7 - s*r**2.\nAnswer: -2*(r - 1)*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -7 + 0*p - p**2 - 1\/24*p**4 + 0*p**3. Let t(j) be the second derivative of h(j). Let r(d) = 9*d**2. Calculate t(r(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - -40.95. Let n = k - 42.7. Let p = n - -1.6999964. Round p to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.10462s to microseconds.\nAnswer: 24104620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48\/9 - 1\/3. Suppose -4*a + 8 = 0, -q*t + 2*a + 2*a = -12. Suppose -25 = -t*r + 7. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -68051, -1\/4, -26, -0.04?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -105*k**3 - 12*k**2 - 2*k - 4. Let w(a) = a**3 + 2*a**2 + 1. Calculate t(l) + 6*w(l).\nAnswer: -99*l**3 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 9*r - 13. Let t be y(6). Suppose -t*s - 5*g + 10 = 0, -10 = -3*s + 4*g + 3. Differentiate 0 - 18*m**s - 9 + 17 wrt m.\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6979 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 32*o - 3. Let h be 3\/(-21) + 4\/28. Suppose h = -3*j - j + 12. Is r(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1411 by -18.\nAnswer: -1411\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18795985.\nAnswer: 5, 13, 289169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 48. Suppose -3*l - 4*v + 28 = -l, -20 = -2*l - 2*v. Suppose -152 = -h*a - l*a. Calculate the remainder when a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + v**2 + v. Let a(r) = -4*r**3 - 4*r**2 - 27*r - 5. Let s(q) = a(q) - 5*g(q). Let u be s(12). What is the highest common factor of u and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-6 - -5) + -6 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + 0.22. Let d = -1075 - -817.2. Let y = -260 - d. Which is bigger: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*r**2 - 23 - 221*r**2 + 49*r**2 + 55 + 54*r**2 + 52*r**2.\nAnswer: -4*r**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + -4 + -1*sqrt(1900) + sqrt(1900)) + -4)**2*3 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 143 times -593176?\nAnswer: -84824168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(4)\/sqrt(2) + -3)*-1 - (-3 + sqrt(6)\/sqrt(3) + (-1*sqrt(32))**2))*-1.\nAnswer: 2*sqrt(2) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -363 + 363. Suppose -2*z + 3*k + 2832 + 125 = 0, l = -3*k + 9. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + l + 3 - 20 - 193 in the form k*l + t and give t.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - (44 - (82 - 22)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1742, 0.01, 0.4, -2\/17 in ascending order.\nAnswer: -1742, -2\/17, 0.01, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5 - 30*b**4 - 60*b**3 - 40*b**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 663*g - 3481. Calculate i(5).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 160 = -2*k. Let t = 32 - k. Suppose 0*i = -4*l + i - 3319997, 3*i + 9 = t. Round l to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170680 = 847*p - 864*p. Calculate the least common multiple of 16 and p.\nAnswer: 20080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -8*u + 49. Suppose -u*l = 14*s - 17*s + 16, s - 5 = 2*l. Calculate the lowest common multiple of s and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2078 = -5*j - 0*j - 1638. Calculate the highest common divisor of 253 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzl when three letters picked without replacement from nljzjxzjjjjjljjqzzjj?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 34 = 4*a + 26, 0 = 5*y + 3*a - 35. Calculate the remainder when 53 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Suppose -2*j - w*n = j - 98, -3*j = n - 100. What is the remainder when j is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1, -187, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 2 + -2 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 9\/11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -351, -374, -413, -468?\n\"Answer: -8*w**2 + w - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*s - 0. What is the greatest common divisor of 20 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 285 (b) -37 (c) -0.1 (d) 0 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 342, 3\/5, 7\/348, 2\/19, 14\/3 in descending order.\nAnswer: 342, 14\/3, 3\/5, 2\/19, 7\/348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16197 - -16202. Solve k*u = -p + 25, -p = 37*u - 42*u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*m**4*x**2 - 20*m**3*x**3 + 4*m + 2*x**3 + 82 wrt m.\nAnswer: 72*m**2*x**2 - 120*m*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*t - 2, q - 7 = 3*t + 5*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11637649?\nAnswer: 43, 241, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 - -103. Which is the closest to 0.3? (a) 3\/4 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 4. Let z be 1 - -3 - (-2 - -2). Let h(t) = -2*t**2 - 9. Let r = -7 - -16. Calculate r*k(s) + z*h(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -41. Let n(k) = -11*k + 27*k + 9 - h*k. Determine n(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.7 - 8. Let s = 0.94 + c. Round s to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n + 3 = 38*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 79128 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.509, -2021.\nAnswer: -2021, -0.509, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(315))\/sqrt(5))\/sqrt(9)*-3 - ((6*sqrt(112) + sqrt(7))*-4 + 0).\nAnswer: 97*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*u**2 - 475212\/7 - 2388\/7*u.\nAnswer: -3*(u + 398)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -255, -890, -2139, -4206, -7295?\nAnswer: -11610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1664282 - 141*p**2 + 1664282 + (-p - 2*p + 4*p)*(4*p + 3*p - 5*p) + 2*p**2 + 0*p + 0*p as t*p + d*p**2 + g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 11:24 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, 16, 58, 138, 268, 460, 726?\n\"Answer: 2*i**3 + i**2 - i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 6. Let l be w(13). Let t be (-12)\/l + 12\/42. Solve 3*c = 2*c + t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-6152\nAnswer: 3076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0 + 0*s - 7\/30*s**6 + 20*s**2 + 0*s**4 + 2\/15*s**5 + 0*s**3. Find the third derivative of t(p) wrt p.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 7*n**2 + 3*n + 23. Suppose 8*r - 14 = 10*r. Let k be q(r). Solve -k*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1621, -2934, -4245, -5554, -6861?\nAnswer: -8166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2 + 5 + 11*b)*(-2*b**4 - 14 + 14).\nAnswer: -22*b**5 - 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*2*(-2)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*n - n. Let z(m) = -m**3 + 14*m**2 - 19*m + 12. Let r be z(12). What is the highest common divisor of r and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/5)\/(6\/15). Suppose -25 = 5*h, -f*h - 725 = -0*l - 5*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/(-8)*36\/(-84)\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**4 + 81*y**3 - 585*y**2 + 507*y = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268513860.\nAnswer: 2, 3, 5, 233, 19207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-9) + 1*-5. Let j(d) = d**4 - 2*d + 1. Let m(n) = -5*n**4 + 11*n - 5. Let t(f) = p*m(f) - 33*j(f). What is the derivative of t(g) wrt g?\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from {n: 4, u: 2, e: 1, b: 2, s: 6}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z. Let o(c) be the third derivative of -3*c**2 + 0 + 0*c + 0*c**3 - 1\/60*c**5 + 0*c**4. Give i(o(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*a + 2. What are the prime factors of (-8)\/(6\/3*a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2970 + 2686.94. Let l = w + 278. Let d = 0.06 + l. Sort 1\/4, -3, d.\nAnswer: d, -3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 4. Let k be u(-7). Suppose k = 3*d - 3. Let l(y) = 3*y**2 - 4 - 2*y + 3*y - d*y**2. Calculate l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2344 * 0.5.\nAnswer: 0.1172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 10*t - 11*t**2 + 32 - 51 - 2*t. What are the prime factors of j(-12)?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p + 88. Give k(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7140614 divided by -274639.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0763220866 rounded to 3 decimal places?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u - 0. Suppose 0*n = u*n. What is the tens digit of 30*(n + -1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 339, 312, 303, 234, 27, -396, -1113?\nAnswer: -2202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 992468.9ml in litres?\nAnswer: 992.4689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-36)\/(-32))\/((-81)\/(-270))\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/((-3060)\/(-10)))\/((-1)\/(-3))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -2)*(-3)\/18*-3. What is the hundreds digit of ((-12)\/(-4) + (-782 - j))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 103.94.\nAnswer: 97.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/345553 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a + 733594 - 735241 = 0 for a.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -16. Solve -p - 5*a + i = 2*p, -3*p = -5*a + 22 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1389272 < -5557089\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-5 + -2*sqrt(75) - (sqrt(75) + (sqrt(75) - (sqrt(75) + 1 + 3)) + sqrt(75))))**2.\nAnswer: 120*sqrt(3) + 1209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 + 103 + 35 + 90)*((-d + 3*d + d)*(-1 - 1 + 3) + 0 - 2*d + 0) in the form g*d + r and give g.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2281*p**2 + 73*p - 1. Is m(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-2)\/11 - 17\/(1309\/(-630))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 9*q**2 + q + 6 - 4*q + q - 2*q - 9. Calculate z(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-9 + 92 - (-6 + 19))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 + 74. Suppose w - l - 2*l - y = 0, 2*l - 28 = -w. Solve -b - 4*b - 30 = 5*c, c + w = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 812 = 5*k, k - n = 5*k - 649. What is the remainder when k is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 49 + 23 = 0. Let j be 265600001\/8 - l\/104. Round j to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*y + 56 - 518 + 462.\nAnswer: 230*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**8\/840 + d**4\/24 + 2*d**3 + 7. Let w(a) be the third derivative of u(a). Differentiate w(o) wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(132\/(-199716)*-17).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**7\/70 + z**6\/4 - 3*z**5\/5 - 133*z**4\/4 - 245*z**3\/2 + 550*z**2 + 2. Factor c(f).\nAnswer: 3*(f - 5)*(f + 1)*(f + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 3 + 3)*(12*l + 7*l**2 - 12*l)*(0*l + 5*l - 2*l) in the form y*l**2 + b*l + s*l**4 + f + v*l**3 and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 379045, 379027, 378995, 378949?\nAnswer: 378889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 523 = 3*t - 5*f, 4*f - 708 = 10*t - 14*t. Suppose -2 = q, -10*r + 11*r - 5*q - 186 = 0. What is the lowest common multiple of t and r?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*a**2 + 14 - a - 3 - 46*a**2.\nAnswer: -10*a**2 - a + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -k - 0. Let w = 493 - 487. Let a be (-190201)\/w - 1\/k. What is a rounded to the nearest 1000?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -498.293 + 498. Let y = -0.007 + i. Let j(z) = -z**3 + 2*z**2 + 2*z + 4. Let v be j(3). What is the third smallest value in y, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3 + 7 = 0. Let y = c + 3. Solve y*s = -3*v + v - 20, -3*v - 5*s = 27 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 5. Let x = u + -3. Suppose 5*p + x*d = 12 + 23, -28 = -4*p + d. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**7\/168 - c**5\/20 - c**3\/3 + 3*c**2. Let i(b) be the first derivative of s(b). Find the second derivative of i(o) wrt o.\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/80 + ((-33)\/(-90) - (-6)\/(-36)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 244 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -20\/21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 11*h + 83. Let d be f(16). Suppose -d*b + a = 4*a - 39, 0 = -a + 5. Calculate the remainder when 13 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 23 = -3*o. Let f(p) be the third derivative of p**6\/120 - p**5\/6 - p**4\/24 + 5*p**3\/3 - 2*p**2. Let g be f(o). Solve -3*q = 12 - g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 7*l + 11. Is 10 a factor of g(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**5*w)\/w**(-1\/2)*(w*(w\/w**(1\/17))\/w)\/w*w*w**9 assuming w is positive.\nAnswer: w**(627\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496661 is divided by 165534.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 0.0587405.\nAnswer: -0.6461455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 309, 482, 745, 1110, 1589?\nAnswer: 2194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(4\/((-400)\/375))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27845425 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8240 divided by 8240\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h**3 - 5 + 13 - h**2 - 8.\nAnswer: 23*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(10\/(-85) - 47080\/85).\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, m: 3, o: 5, p: 3, s: 7}. What is prob of picking 3 s and 1 c?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -2*g**2 + 1\/32*g**4 + 0*g - 1\/240*g**6 + 1\/280*g**7 - 1\/120*g**5 - 1\/1344*g**8 - 1\/24*g**3 + 0. Factor y(s).\nAnswer: -(s - 1)**4*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621 a factor of 436232173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24629*y**2 - 15176*y**2 - 7988*y**2 + 16716*y**2 - 31377*y**2.\nAnswer: -62454*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249216 is divided by 247.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + k - 4 = -0*k, i - k + 4 = 0. Let o = 3 - i. Solve t - 17 = -o*n + 2*t, -31 = -4*n + 3*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -657354 * -0.1.\nAnswer: 65735.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 1 (c) 16\/29 (d) -5 (e) 30.1 (f) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0 (c) 2\/65 (d) 4.9 (e) 1208\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1235140728 to the nearest integer?\nAnswer: 35145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 26 = 4*y, 3*l + 2 = 3*y + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 15, e: 5}. What is prob of picking 2 e?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-9\/7)*b**(-20) assuming b is positive.\nAnswer: b**(-142\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 - 1.2. Let t = 1.4 + y. Let r = 0.35 - t. Which is the third smallest value? (a) r (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 25*m**3 - 13*m**2 + 13*m - 1. Let u(o) = -6*o**3 + 3*o**2 - 3*o. What is 2*j(f) + 9*u(f)?\nAnswer: -4*f**3 + f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 19 (c) -1 (d) -0.02 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(5\/7)*b)\/b)**(-27)\/(b**(-3)\/b**(3\/28)) assuming b is positive.\nAnswer: b**(-1209\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 3*u**2 + 14*u. Calculate the remainder when w(-7) is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*b**3 + 1 + 143*b**3 - 36*b**3 + 2*b in the form p*b**3 + f*b**2 + s*b + h and give p.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 1659510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o + 6 - 10 + 2 + 3 + 0.\nAnswer: -17*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:49 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjj when three letters picked without replacement from rrrrrrrrjrjrrrjrjr?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4) + (-252)\/(-48). Solve 2 = -n*j + 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -7013, -3, 2, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 18 = 2*n, -q - 127 = -n - 147 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3 + 1\/8*h**4 + 4*h - 33\/2*h**2 + 88 = 0.\nAnswer: -22, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83536.4102 - -83612. Let g = b - 76.259763. Let v = g - -0.67. What is v rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1935?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15521437 divided by 4.\nAnswer: -15521437\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 83623253?\nAnswer: 83623247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 - 8*y - 312\/5.\nAnswer: 2*(y - 26)*(y + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g - 1. Suppose -2*j + t = 3*t + 8, 4*j = 2*t + 8. Suppose 0 = -j*q - 2*q + 10. What is the tens digit of d(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 - 4*b**3 + 4*b**3 + (5*b - 3 - 7*b + 4*b)*(b**3 + 2*b**2 - 2*b**2) to the form r + t*b**4 + g*b**3 + v*b + q*b**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 25 = -2*b, 5*b = 4*b - 2*m - 2. Put 1\/8, -3, 11, b in increasing order.\nAnswer: b, -3, 1\/8, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 3. Let i be j(-2). Let s(a) = -2*a + 4. Let d(u) = -2*u + 4. Let h(l) = 5*d(l) - 4*s(l). What is h(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8921265 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 99645.17 millennia in centuries?\nAnswer: 996451.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-1 + (-8 - 2)). Suppose 4*y - w = 2*y. Suppose -3*k = y*q - 17, -11 + 3 = 4*q. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 6. Suppose 7*z = l*z + 64. Suppose -2*m + 0*m = -z. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1311 + 26244*d - 1283 + 2594 + (-1 + 2 + 2)*(2*d + d - 2*d) - 6*d + 4*d + 3*d to z*d + f and give z.\nAnswer: 26248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651 + 321 = 22*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-13) - 36023\/169. Let d be (z*5)\/((-33)\/(-22)). Round d to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 divided by 44773?\nAnswer: -205\/44773","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1146*n + 11. Is f(27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-5\/3)\/d*d**10)\/(d**(-1\/20)*d**(-2\/57)) assuming d is positive.\nAnswer: d**(3199\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or -400019\/26?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l + 3*l + l - 3*l - 3*l + 5*l + (-l - l + 3*l)*(-2 - 1 + 2) + 2 - 2 - 2*l - 9*l + 30*l + 0*l + ((-2 + 5 - 4)*(5 - 4 + 0) + 5 + 1 + 16)*(-1 + 1 + 2*l).\nAnswer: 57*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 35, 42, 43, 38, 27, 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.84811 + 0.04811. What is the closest to -2 in x, 1\/2, -1\/12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1359 - 1362. Which is the third smallest value? (a) m (b) -0.03 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*w - 207, -5*q + 49 = w - 3*q. Let c = 49 + -44. Suppose 59 = 4*x + c*a, 2*x + 20 = -3*a + w. Solve -x = 4*g + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Let i be n(0). Suppose 0 = -2*k + g - 7, 0 = k + 4*g - 1 - 0. Let o be (-3)\/(k\/((-6)\/(-2))). Solve i = a + o - 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*f + 11 = 0, p + 5*f + 6 = -7. Let t(b) = -b - 2. Let h be t(p). Let m = 6 + h. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660)\/sqrt(275))\/(sqrt(768)*-2 + sqrt(768) + sqrt(12)) + 2)**2.\nAnswer: -4*sqrt(5)\/35 + 981\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 17*a**3 - 8*a**2 - 3*a - 1. Let u(t) = 33*t**3 - 15*t**2 - 6*t - 2. Let i(z) = 11*k(z) - 6*u(z). Is i(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7021410?\nAnswer: 2, 3, 5, 11, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 196896, 201840, 210080, 221616, 236448, 254576, 276000?\n\"Answer: 1648*l**2 + 195248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7558091 greater than -7558092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(5 + -2)*3. Let z be ((-7)\/(7\/f))\/(-1). Suppose 0 = z*g - 4*w - 287, 6*g = 2*g - w + 370. What is the remainder when g is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 58. Calculate n(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 = -4*a - 8, 12 = a + 2*d. Suppose -y = -a*h - 2700001, h - 4*y + 419256 + 930748 = 0. What is h rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u**2*u)\/u)\/u)**(-6) assuming u is positive.\nAnswer: u**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**4\/2 + l**3 + 39. Let a(n) = -3*n**3 - 4*n**2. Give 3*a(p) + 4*m(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 5*h**2 - 448*h**5)*(4 - 4 - 1).\nAnswer: 448*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.4, 4, 0.147603 in increasing order.\nAnswer: 0.147603, 1\/3, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 40*x**2 + 70*x + 1180. What is r(-41)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 191*a**3*m - 2*a**2*m**2 - 9945*m**2 wrt a.\nAnswer: 573*a**2*m - 4*a*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.3 and 1.075?\nAnswer: 4.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1761473350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 670 divide 14226496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 113*w - 115*w + 252. Let f = w + -122. What is the second derivative of -4*p - 9*p - 4*p + f*p - 39*p**5 wrt p?\nAnswer: -780*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.38 + 18.38. Let p = 1.3 + -22.3. Let w = x + p. What is the smallest value in -2, 0.03, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 764429.8 centuries?\nAnswer: 917315760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*z - 23. Is ((-838)\/z)\/((-7)\/(-14)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127066289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 10*h**2 + 16*h + 46. Let y be m(-11). Let q(c) = 65*c**2 - 10*c + 8. Is q(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.05883081 + -0.05878981. Let y = -0.436 + -3.564. Let m = y + g. What is m rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/117*(1*-36)\/((-20)\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55.3 - 53. Let h = 0.3 - l. What is the closest to 0 in h, 3, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1640229181 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 1. Let n(v) = -6*v - 3. Let y = -1026 + 1725. Let h = 698 - y. Give h*n(f) - 5*k(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -33. Suppose 2*y - 21*k = -g*k + 7972, 0 = 2*k. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 3:42 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3572012467.819955 - -3571991918. Let d = m + 20550. Let o = d - 0.18. Round o to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j + 13. Give m(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {u: 9, y: 9, b: 1}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 373, 748, 1127, 1510?\nAnswer: 1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7020673?\nAnswer: 11, 61, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 4) in base 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.13967 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*v + 43*v + 26*v - 219*v + 62*v + 47*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301003 (base 4) in base 15?\nAnswer: -2225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -387256330251748 - 5\nAnswer: -387256330251753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d. Let i(s) = 25138563*s. Give i(g(y)).\nAnswer: -75415689*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Let d(r) = -6*r + r + o*r. Let q(g) = -g**2. Determine q(d(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -236*j + 231*j - 57, -j + 3 = k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, 2, 90.\nAnswer: -20, -3, 2, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.09, 0, 2\/15, -4\/7, 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2887*n - 3203*n + 6511*n)*(2*n - 3*n + 0*n - 1) to k + d*n**2 + w*n and give d.\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 1733260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 6*y + 656. Let j = -104 - y. Let a(k) = 16*k**3 - 39*k + 39. Calculate the remainder when j is divided by a(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8\/3 (b) -2\/49 (c) -0.02 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -634571\/52516 - -2\/39387. Find the common denominator of j and 45\/604.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*r - 2*t, -t = -2*r - 5*t + 12. Suppose -9*w = -6*w - 12, 4*h - 92 = 3*w. Suppose -r*l = -h + 4. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ad7 (base 14) to base 5.\nAnswer: 124033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1533.3 + -1636. Let j = -108 - f. Let h = j - -5. Which is the nearest to h? (a) -3\/7 (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22c57c5 (base 13) to base 14\nAnswer: 15dc157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36405 or -31553?\nAnswer: -36405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -4668158?\nAnswer: 4668154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8d5 - 4?\nAnswer: 8d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*r**2 - r + 9.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 3*p**2\/2 - 11*p + 99. Let j be z(6). What is the greatest common factor of 343 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23553727 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024038886 to the power of 1\/4, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -3*h - 16, -h - 10 + 0 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/5 - 72*u**3\/5 - 74*u**2\/5 + 72*u\/5 + 73\/5 = 0. What is u?\nAnswer: -1, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-299) - 585\/(-115)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m - 10. Let l be t(4). Suppose -l*x = -2*x - 2*q + 6, 0 = -3*q + 15. Which is greater: 2\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169 (base 16) to base 6\nAnswer: -1401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -207 - -134. Let q = 666.2 - 593.174. Let l = q + j. Round l to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 11514 and -0.083.\nAnswer: 11513.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12724 - 0.1932.\nAnswer: -12724.1932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -103320.\nAnswer: -103316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6108 - -6110. Let o(d) = -12*d**2. Let g be o(-1). Let x be (-2)\/30 + 4\/g. Which is the closest to h? (a) x (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, 5, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/7 + 10\/7*i**2 + 2\/7*i**3 + 2*i = 0. Calculate i.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -10. Let m = 0 + p. Let w = m + 3.999. Round w to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32892, -32902, -32910, -32916?\n\"Answer: d**2 - 13*d - 32880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-77)*8\/(-6). Are q and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986372441 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.83 - 42.\nAnswer: -37.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwzywzzwwwyzww. Give prob of picking 2 w and 1 z.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 100*o + 47. Let d(n) = 45*n + 24. Calculate -2*a(l) + 5*d(l).\nAnswer: 25*l + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/6 of a week?\nAnswer: 38640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-10)\/(-35) + (-9)\/3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5719454 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1192*l - 1361. Let r(v) = -2379*v - 2724. Let t(o) = -4*r(o) + 7*y(o). Differentiate t(p) wrt p.\nAnswer: 1172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 16 = -18*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 1. Let i(y) = -2*y**3 + 22*y + 1. Give i(x) + p(x).\nAnswer: -2*x**3 + 21*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10384 is divided by 247?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38625 * -0.03.\nAnswer: 1158.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (158*g**2 + 238*g**2 - 451*g**2)*(-2 + 2 + 2*g)*(-6 + 0 + 1)*(1 - 1 - 2) to b*g**3 + m*g**2 + z + l*g and give b.\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-5)\/50*6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41507512 divided by -8\nAnswer: -5188439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.064 + -14.564. Let j = l - -14. Which is the third biggest value? (a) j (b) -5 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/11)\/(f\/(f*f**(-9\/2))) assuming f is positive.\nAnswer: f**(-101\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 3 + 10*l**2 - l**3 + 14*l**2 - 25*l**2. Let g be m(0). Let o = 6 + -2. Which is greater: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19011341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) 1\/2 (b) -0.4 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 25004 divided by 188\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(539) - (sqrt(539) - sqrt(539)*-1*-6)) + sqrt(539) + 0)**2 - (sqrt(539)*3 + -4 + 5*(1 + sqrt(539) + sqrt(539))).\nAnswer: -189*sqrt(11) + 26411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 3, 4, 0.031, 226?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 864, 1298, 1732?\nAnswer: 2166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -56.7?\nAnswer: -5.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (48\/40)\/((-2)\/(-5)). Let w be b*(-2 - (-77)\/3) - 3. Calculate the highest common divisor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5658)\/(-230) + (-8)\/5. Solve -27*o + q*o + 20 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/4*-1*2. Let n = l + -19. Suppose n = -3*m - i + 5*i + 605, 4*i = 2*m - 402. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -858, -1641, -2424, -3207, -3990?\nAnswer: -4773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*m = 2*m + 79, 0 = -3*k - 5*m - 91. Let t be 6\/k - 584\/(-36). What is the highest common factor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -10*a. Put a, 1, 2, -1 in ascending order.\nAnswer: -1, a, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 43 (c) 3\/7 (d) 4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**4\/4 + 25*t**3\/2 + 3*t**2\/4 - 38*t + 25 = 0.\nAnswer: -2, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3271335.786 to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1680)\/(-90))\/(-8))\/(2\/(-18))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 2*x - 5 + (-4*x - x + 9*x)*(-4 + 0 + 3) as j*x + h and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -8722*o**5\/11 + 87210*o**4\/11 + 18246*o**3 + 104894*o**2\/11 + 120*o\/11 = 0. Calculate o.\nAnswer: -1, -5\/4361, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(19) - sqrt(684)*-2) + sqrt(19) + sqrt(19) + sqrt(19) + -4)*6 - (2*sqrt(304) + 4 + (sqrt(304) - (sqrt(304) + 1 + sqrt(304) + 4))))**2.\nAnswer: -16928*sqrt(19) + 645380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5747765.909 rounded to the nearest 10000?\nAnswer: -5750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*l - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -59\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 7*m**2)*(-7 - 7 + 7 - m) + 5*m - 5*m - 2*m**3.\nAnswer: -9*m**3 - 49*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 401240312 (base 5) to base 15\nAnswer: 215322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7698325.4 + -7698310.8000058. Let a = -14.6 + n. What is a rounded to seven dps?\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3840827 is divided by 384078?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1923a76 (base 13) to base 14.\nAnswer: 11449d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -121.\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3 - 33*y + 5*y + 20*y. Calculate g(6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16002, -64077, -144206, -256389?\n\"Answer: -16027*g**2 + 6*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 23*c**2 + 22*c + 27. Give f(-22).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.105103 + -0.1051. What is c rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2217*s + 2220*s - 18 = 0, -s - 6 = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 46033 (base 8) to base 11\nAnswer: 13702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-5 - s + 5)*(-80 + 695 + 384).\nAnswer: 1998*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2005*l + 1395. Let n(v) = -2004*v - 1390. Let w(m) = -7*b(m) - 6*n(m). What is the derivative of w(x) wrt x?\nAnswer: -2011","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(35\/3)*r)**(-4\/7) assuming r is positive.\nAnswer: r**(-164\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 2 + (15\/3 - 3). Suppose -h + o = 4*h + 3*p, 4*h + 6 = 3*p. Let t = h + 0. Which is the third smallest value? (a) -4 (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1561739, 1561730, 1561699, 1561634, 1561523, 1561354, 1561115?\nAnswer: 1560794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12321219655 from 0.0237.\nAnswer: 12321219655.0237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**7)\/(z\/z**(2\/19))*(z**(-2))**(13\/2) assuming z is positive.\nAnswer: z**(-112\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -107*m**2 - 23*m - 51. Let a(j) = -160*j**2 - 34*j - 77. Let y(t) = 5*a(t) - 8*h(t). Is y(-2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + -3 + -2 + -8. Suppose -3*w + 9 = 7*u - 4*u, 2*u = 5*w - 8. Sort w, 3, j in decreasing order.\nAnswer: 3, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 892 + 476. Suppose 5*z - 3*m = g, -3*m - m - 49 = -z. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + ((-10)\/(-8))\/(-5)*-8. Let o(r) = 4*r**2 + 8*r + 1. Let a(g) = -8*g**2 - 16*g - 2. Let h(m) = q*a(m) - 7*o(m). What is the units digit of h(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 k when four letters picked without replacement from {k: 1, c: 3, u: 1, r: 1, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 271 + -263. Which is the smallest value? (a) h (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -17. Solve v*w = -w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -510.64 - -511. Which is the biggest value? (a) -3 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27090, -108118, -243086, -431988, -674818, -971570, -1322238, -1726816?\n\"Answer: o**3 - 26976*o**2 - 107*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/8 (c) -12 (d) 2\/13 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 11:01 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 1222 (c) -21\/187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*w - 330 = -3*q + 6*q + 94*w - 47*w, 0 = -4*q - 4*w + 36 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 5*v + 2. Let s be x(-5). Suppose 2*d = -5*p - 8, -2*d = 2*p - 4*p - 6. Which is the second biggest value? (a) s (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 15*w - 368. Calculate the common denominator of -6 + w*6\/(-24) and -46\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 + -3.52. Let f = -1.4 - -1.63. Let z = k + f. What is z rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(392)*-2)\/sqrt(7) + sqrt(56) + sqrt(56))*-5)\/(3*sqrt(72)*-1) + 4 + 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -22)\/((-6)\/12). Suppose 4*n - a = 4*d, 4*n - 68 = 3*d - 23. Solve 0 = 6*u - 3*u - n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14275969?\nAnswer: 37, 385837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 471075*o + 21998265 with respect to o.\nAnswer: 471075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 983, 2468, 4935, 8378, 12791, 18168?\n\"Answer: -p**3 + 497*p**2 + p + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 2. Let a be z(3). Let r = 38 - 151\/4. Which is greater: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(130) - (sqrt(130) + (sqrt(130) + 3*sqrt(130))*3 + sqrt(130) + sqrt(130))))\/(-6*(sqrt(160) + -1*sqrt(160) + sqrt(160))).\nAnswer: 7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417190269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 17*m - 22*m. What is the greatest common divisor of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + y**2 - 2*y + 1. Let n be p(-2). Is (-14 - n)*(-2)\/6 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 + 668. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*u + 4 - 6, -2*k = -3*u + 10. Let m(w) be the first derivative of -w**2\/2 - 6. Determine m(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 6. Let h(q) = -2*q**3 - 2*q**2 + 2*q + 1. Let u be h(-2). Let r(s) = 3 - 8 + 2 + 2. Calculate u*r(a) - t(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/6)\/f**(-11))**49)**(1\/17) assuming f is positive.\nAnswer: f**(3185\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -183.76 (b) 4 (c) 106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2000)*2 - (sqrt(20) + (sqrt(2420)*-1 - sqrt(2420))))\/(sqrt(8)\/(sqrt(128) - -1*sqrt(128)))*5)**2.\nAnswer: 53792000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) 9\/7 (c) -0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**2 - 2*a**5 + 4*a**2 + (3 + 4*a - 3)*(402 + 16*a**4 - 402) + 0*a**5 + 0*a**5 + 7*a**5.\nAnswer: 69*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1052 + -1052. What is the smallest value in 0.5, -14, b?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -11 + 17 + -3 + 1. Which is the nearest to 2\/11? (a) 1 (b) -2\/5 (c) o (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, -2\/5, 2, 3, -1\/9, 0.1.\nAnswer: -2\/5, -1\/9, 0.1, 2, 3, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6815715 by 5.\nAnswer: -1363143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -303 - -319. Solve u + 3*t - j = 0, -2*u = -0*u + 5*t - 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2 + 2*q**2 + 0 - 1 + 0. Let u(o) = 1. Let s(m) = -g(m) + 4*u(m). What is the derivative of s(l) wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 4, -2\/23, -11\/6, 0.4, 88\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24759?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1 + 2*f)*(1 + 0 - 2)*(-2 + 4 - 4).\nAnswer: 4*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6158915 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 3)*(-303*l - 200*l + 417*l) in the form d + k*l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -213*v**3 + 463*v**3 - 211*v**3 + 2*v**4 - 40*v**3 - v + 1412 to the form d*v + q*v**3 + x + z*v**2 + j*v**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 17*t**2 + 5*t - 9. Let d(q) = -9*q**2 - 3*q + 5. What is 5*d(g) + 3*w(g)?\nAnswer: 6*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471292 is divided by 3833.\nAnswer: 3666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45442*j - 45444*j = -r - 5, -2*j - 3*r - 39 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**4\/3 - 195*n**3 + 103310*n**2\/3 - 34240*n = 0. Calculate n.\nAnswer: -214, 0, 1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5902 and -13.\nAnswer: 76726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from {t: 2, s: 1, z: 3, r: 4, k: 1, g: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*n - 21*n - 7*n + 216*n**2 - 9*n.\nAnswer: 216*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 2*l - 287. Give u(-12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20273 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(104) - (sqrt(104) + (sqrt(104) - (-4*sqrt(104) - sqrt(104)))*4 - sqrt(104)))\/(sqrt(648)*4 - sqrt(8)) + -4 + -3))**2.\nAnswer: 414*sqrt(13)\/5 + 602118\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31138160 by -4.\nAnswer: 7784540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 22707*h - 6013695. Calculate p(-268).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4682*q**3 - q + 0*q + 3*q.\nAnswer: 4682*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52554985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 37*o**5\/60 - 25*o**4\/24 + o**2. What is the second derivative of a(p) wrt p?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 4*v - 273, -3*m + 4*v - 1619 + 1037 = -861 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 15*p**3 + 3*p**2 - 2*p - 4. Let j be l(2). List the prime factors of j\/(-5)*(3 - 43).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50444 + 74294. What is r rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 10:39 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*b + 14, -3*b - 4 = -2*h - 2. Is -3 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128*b**5 - 2*b + 58.\nAnswer: 2560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4089 is divided by 814?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.7309 kilograms to tonnes.\nAnswer: 0.0957309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -28. Suppose 12 = 2*h + f*b, 2*h + 3*b + 2*b = 15. Solve h = 2*t - 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**4\/3 + 164*m**3 - 41992*m**2\/3 = 0. Calculate m.\nAnswer: -181, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11872 - 10774. What is the least common multiple of s and 1464?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 5:25 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {h: 5, n: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2062245205 to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/25, -3.3442, 23\/6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-180)\/(-12))*-3)\/((-36)\/(-4))?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4 - 76890*y**3 + 76884*y**2 + 76890*y - 76887 = 0.\nAnswer: -1, 1, 25629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 - (-48)\/(-21). Let t(r) = 2*r**2 + 3*r + 3. Let q be t(s). Solve -4*y - q = -9*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2255 and -3\/50.\nAnswer: 22550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -354 - -355.93. Let l = 3.36 - i. Let x = l + -1. What is x rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-27 - (-46 + 9))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -403379 - -1 - (-6 + 3). Let i = -878375 - v. Round i to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566550445 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 6:59 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 771 or 1543\/2?\nAnswer: 771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooioqoiqoooooqiq. What is prob of picking 1 q and 1 o?\nAnswer: 44\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10971287 less than -200?\nAnswer: -200.10971287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 2264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10*1760\/1584?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(5)*-3 - sqrt(5)) + (sqrt(30)*1)\/sqrt(6) + 3.\nAnswer: -3*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r - 6. Let z be h(-6). Let c be (8\/z)\/((-4)\/(-6)). Let t be 0 - (2 - (-2 + 5)). Is c smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4 - 2*u - 3*u - 2. Let g = 334 + -339. Is 12 a factor of l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2)*11060\/1185?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllblllllbll. Give prob of sequence llll.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005001317 rounded to five dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 6:56 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.689, 1, -4 in decreasing order.\nAnswer: 1, -1.689, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + g + g)*(-6*g - 1 + 7*g + 6).\nAnswer: -2*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -46, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -5, 2\/21, 13.\nAnswer: -5, 2\/21, 2\/5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2012558 is divided by 5498?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.06 (b) -2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -3*v + 5, 2*c - 59 = -49 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 + 1)*(-27)\/(-18). Let f(y) = y - 7. Calculate f(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 7578378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 182*b + 41*b + 7703 + 102 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-316226)\/4)\/(21\/390 + (-14)\/91) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -88, -172, -312, -508, -760?\n\"Answer: -28*m**2 - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 143.9\nAnswer: -145.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - (2 - 3)\/(1\/4). Let c = h + 8. Calculate the remainder when 23 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8445167507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*j - 76*j = 1892. Sort -16, -4, j.\nAnswer: j, -16, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*5\/(30\/8). Let y be 1\/l*8\/10. Which is smaller: y or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -82.8242\nAnswer: -41.4121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -16*h**2 + 4*h - h**2 - 4*h. Let u(x) = -2*x. Calculate y(u(w)).\nAnswer: -68*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*t + 129, y = 4*y - 5*t - 71. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 + 24 = -2*r. Suppose 3*o - 84 - 38 = -5*p, 0 = 3*p + 2*o - r. Factor 88*z + 25*z**4 + 10*z**3 - 132*z**2 - 16 + 23*z**4 + p*z**4 - 23*z**4.\nAnswer: 2*(z - 1)*(z + 2)*(5*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 132 - (12 + (-2 - 1 - 4))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/83, -15106, -0.5 in decreasing order.\nAnswer: 16\/83, -0.5, -15106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1447*a = 1443*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16789 + 151*s - 16789)*(s**2 - 5 + 6 + 3 + (-s - 2*s + s)*(2*s - 2*s - s) + 0*s**2 + 3*s**2 - s**2 - 3*s**2 + s**2 + 0*s**2).\nAnswer: 453*s**3 + 604*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1175786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10)*-1*(30 + (-10400)\/338)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107421 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 21 + 43 - 29. Determine w(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 6*w = -20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 1\/6*k**3 + 0*k + 21 + k**2 + 1\/3*k**4. Calculate o(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603580 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25608.\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4273*h**3 - 936*h**3 - 854*h**3.\nAnswer: -6063*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 106817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2034 to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 6. Let r(h) = 4*h + 19. Let l(d) = d**2 + 5*d + 6. Let m be l(-4). Let g(c) = m*r(c) - 7*t(c). Determine g(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2045 + -2014. Let o be (-308)\/(-6) - 1\/3. Let r = o - x. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -1756933210 to the nearest 100000.\nAnswer: -1756900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1685 is divided by 1540?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 135898 - 109?\nAnswer: 135789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w = -4. Let k = 0.07 + -0.17. Let j = k + 3.1. What is the smallest value in w, j, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26002679.86 to the nearest one hundred.\nAnswer: -26002700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 77*a + 81*a - 38 = 0, -5*n + 23 = a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(1\/4*2). Suppose 5*k + 6*b - 98 = o*b, b = -2*k + 40. Suppose 2*r + 10*r**2 - 8*r**3 - 4*r - k*r**2 = 0. Calculate r.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23501*s**5 + 31*s**3 - 2678506*s wrt s.\nAnswer: 470020*s**3 + 186*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 713847 a multiple of 697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1687 + 903 = -202*z - 11490 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 8*a - 69. Suppose -4*j = -8*j + 100. What are the prime factors of u(j)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + r + 4. Let y(z) = -3*z**2 + 2*z + 7. Let p(v) = -20*v - 3. Let u be p(-4). Suppose -16*a = -5*a + u. Calculate a*k(h) + 4*y(h).\nAnswer: 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 504450\/9975*7\/(-6).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126.3 - 126. Which is the third smallest value? (a) g (b) -12 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-3) + ((-25)\/(-15))\/5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1323 by 116.\nAnswer: -1323\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 242\/363*(18\/(-4) - -2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1853439660 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 76180, 76187, 76192, 76195, 76196, 76195?\n\"Answer: -y**2 + 10*y + 76171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 0*i + 3*i)*(2*i**2 - 2*i**2 - 5*i**3)*(-i - 3 + 3).\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 239*k. Let g(s) = 149141*s. Determine g(j(l)).\nAnswer: 35644699*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14619, 14589, 14539, 14469?\n\"Answer: -10*i**2 + 14629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 573, 3, 5 in increasing order.\nAnswer: 3, 5, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 58*f**2 - 37*f + 1. Let b(t) = 39*t - 12. Let y(c) = -11*b(c) + 4*l(c). What is the first derivative of y(w) wrt w?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 967 (base 11) to base 7.\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 162\/397, -0.2 in descending order.\nAnswer: 8, 162\/397, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:08 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -68396, -68369, -68294, -68147, -67904?\n\"Answer: 4*h**3 - h - 68399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 3492649.\nAnswer: 1\/3492649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 7. Let i be n(-5). Let b = 13 + i. Let x be (b\/8)\/(2\/24). Solve -s - 4*s + x = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 28*j + 26. Let y(c) = -83*c - 78. Let n(p) = -p**2 + p + 4. Let v be n(-3). Let b(g) = v*w(g) - 3*y(g). Differentiate b(x) with respect to x.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - -4 - (1 - -1). Suppose -i - 5 = -6. Suppose -x + 2*r + 6 = j, 5*x = 3*r - i + 10. Solve 2*v + x*h - 18 = 4*h, -3 = -2*v + h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 45. Solve t = -4*k + 7 + 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + sqrt(5))*-4)**2 + (-1*sqrt(320))**2 + ((sqrt(175)\/sqrt(80))\/(sqrt(14)\/(sqrt(6)\/sqrt(3) + sqrt(2)) - sqrt(7)))**2.\nAnswer: 6405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*1*sqrt(91)*-4)\/(sqrt(343)*-2*-6).\nAnswer: -4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/1239 and -17\/42?\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*o**2 - 3 + 1 as d + s*o**2 + n*o and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**5\/10 + o**4\/6 + 23*o**3\/3 - 6*o**2 + 11*o. Find the second derivative of v(l) wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a factor of 6388247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5564\/3 - 1854. Let l = 3 + -2.3. Which is the nearest to u? (a) l (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*f + 122*f - 250*f + 4 in the form y*f + x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5 - 15*b**4 + 72*b**3 - 12*b**2 - 96*b = 0. Calculate b.\nAnswer: -8, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 2*n)*(5*n**2 - 3*n**2 + 3*n**2)*(-12*n + 4*n + n).\nAnswer: -70*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**2 - 11485*i - 34408. Give x(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 0)*(-16)\/4. Let u + 3*u - a*u + 2*u**2 = 0. What is u?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 2111\/5?\nAnswer: 2111\/5","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*z**4 + 52*z**3 - 103*z**2 + 261975*z wrt z.\nAnswer: -132*z**2 + 312*z - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 14*q - 7. Suppose 7*i = 2*i - 2*a - 69, 2*i = 5*a - 45. Let l be k(i). Suppose 0 = -l*b + 116 + 724. Is 41 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 15*r - 14. Calculate the remainder when ((-238)\/6)\/(-2 + (-25)\/(-15)) is divided by u(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 5*t**4\/24 + 5*t**3\/3 - 7*t**2\/2 - 1. Let h(j) be the second derivative of a(j). What is the derivative of h(d) wrt d?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 266\/12263 + 68492078\/6070185. Let x = t + -113\/10. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 66.84584ng?\nAnswer: 0.06684584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g - 311 = -5*j, 0 = 2*j + 2*g - 118. What is the remainder when j is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 7:50 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-47 + (-37485)\/(-798))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 571, -5?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1460 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + s = 498, 2*s + 238 = 2*u - 3*s. Suppose y - 4*i - 98 = 0, -y + u - 21 = i. Let c = y + -57. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Suppose n*y = 3*h - 9, -2*y + 2 = -0. Suppose 2*u - 44 = -h*d, -3*u = -5*d + 25 + 19. Calculate the greatest common divisor of d and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - 1. Suppose -83*m - 22 = -94*m. Sort h, -3, m.\nAnswer: h, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14\/15, -2\/7, -1\/7, 1\/2, -8, -0.13, 2\/9?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2448) - (5 + sqrt(2448) + 0 - sqrt(2448))) + -2 + -3)**2.\nAnswer: -2400*sqrt(17) + 61600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**2 - 1. Suppose 0*g - g - 1 = 0. Let f be j(g). Let d(n) be the first derivative of -n**4\/4 + 2*n**3 - n**2\/2 + 5*n - 1050. Give d(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2 + (sqrt(1584) + -5*sqrt(1584)*-2 - sqrt(1584) - sqrt(1584)))**2 - (5 + 2*sqrt(1584) + -1)**2).\nAnswer: 240*sqrt(11) + 121960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 10431\/958?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 1074*j + 33 = -1073*j, -14*f + 5*j + 154 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6459, -1, 0.\nAnswer: -6459, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/53)*t*t**(-22))\/(t**28\/t*t*t**(2\/39)\/t) assuming t is positive.\nAnswer: t**(-97333\/2067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 2*z + 6. Let j be h(0). Let k(w) = 2*w + 4. What is the tens digit of k(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8233400 rounded to the nearest one hundred thousand?\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*x + 114, 4*t + 61 = 4*x - 51. Find the third derivative of 11*p**3 - 5*p - 15*p**4 - 6*p**4 + 5*p**2 + x*p**4 - 8*p**4 wrt p.\nAnswer: 24*p + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.54 - 148.46. Let d = b - -153.000000653. What is d rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 10:21 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1533378 or 1533375?\nAnswer: 1533378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -189714\nAnswer: -5\/189714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.148483ns?\nAnswer: 0.000007148483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131\/3420 + 2\/171. Let y = 5\/26881 - -1639641\/537620. Find the common denominator of o and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2327541 and -120?\nAnswer: 279304920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2330)\/(-6524)*14\/60. Let n(p) be the third derivative of -1\/6*p**3 - 5\/24*p**4 + 0 - 18*p**2 - z*p**5 + 0*p - 1\/120*p**6. Give n(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1676255 > -1676262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/32 and 47\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*n + 1 = -7, 0 = -2*n + 2. Find the second derivative of -2*r + 1629 - 11*r**q - 1634 + 4*r wrt r.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74118.88 millilitres in litres?\nAnswer: 74.11888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/9030 and 85\/6321?\nAnswer: 63210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -4.9. Let j = v - 0.2. Are 0 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/2)\/((-3)\/4). Let q be ((-33)\/(-18))\/(n\/(-36)). Let p(s) = -s**3 + 12*s**2 - 9*s - 6. List the prime factors of p(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -199\/4. Let r be 2\/((32\/(-12))\/4). Let c = r - 2. Put -6, z, c in decreasing order.\nAnswer: z, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -38, -3 in increasing order.\nAnswer: -38, -9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, g: 2}. Give prob of sequence gllg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**7\/1680 + u**6\/360 - 3*u**5\/10 + 3*u**2 + 5. Let x(p) be the third derivative of c(p). Give x(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76363*p + 800773986*p**3 - 800773989*p**3 - 76363*p.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 10319?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -14. Is 3\/8 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -51*y**2 + 2040*y + 2101. What is u(41)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092071 to the power of 1\/2, to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmjjjmjjmj. Give prob of picking 3 m.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**5\/4 - b**4\/12 + b**3\/6 + b**2\/2 - 3*b. Calculate the least common multiple of 2 and r(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.7. Let s = 6605 + -6605.1. Which is the fourth biggest value? (a) z (b) s (c) 8 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 - -219. Suppose -36 + w = 4*c. Find the second derivative of -c*u - u - 7*u**4 + 24*u**4 + 5*u wrt u.\nAnswer: 204*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 3*r + 2*z + 24, -r + 46 = -5*z. Let p = r - 17. What is the remainder when 73 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 0.941 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 907917, 907921, 907925?\n\"Answer: 4*k + 907913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.8 - 3.777. Let j = 0.49 + -2.513. Let w = j + m. Which is the fourth smallest value? (a) 5 (b) 2\/9 (c) w (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -296 + 0.044.\nAnswer: -295.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4345663937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 52?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2. Let o(m) = -11*m + 7. Let t(v) = 10*v - 6. Let z(x) = 6*o(x) + 7*t(x). Determine r(z(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-one quarters of a second?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37932 and 435?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + -4 + sqrt(432).\nAnswer: -4 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**3\/3 - 69*j**2\/2 - 1287*j + 1186. Differentiate c(l) with respect to l.\nAnswer: -2*l - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/5))\/(s\/s**(1\/4)))\/(s**(-9)*s**(-1)*s) assuming s is positive.\nAnswer: s**(177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11*72\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240056.8 years to centuries.\nAnswer: 2400.568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 34*s - 30*s. Suppose 8 = 5*f - s. Calculate the remainder when 128 is divided by -1*f\/((-3)\/26).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 819 and 6489?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2b (base 12) to base 2\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 167, 7, 0.2, 8.03, 5, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 4*f - 6. Let u be l(-5). Let n = 3 + u. Solve 5*v = -n + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 4*w**2 + 10*w - 12. Let j be s(5). Suppose j*l - 12*l = 60. Calculate the least common multiple of 36 and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 18*y**3 - 448*y**2 + 2432*y - 7. Determine b(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 = -2*h, 5*h - 20 = u + 4*u. Calculate the least common multiple of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, -18, -608, 2, 3.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 5. Let t be u(0). Let h(b) = 3*b**2 + 6*b. Let d be h(t). Suppose 0*s - d = -3*s. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25160011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1348, -5, 4039, -1 in decreasing order.\nAnswer: 4039, -1, -5, -1348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 7:41 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4430 is divided by 805.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*j + 129*j + 72*j + 153*j to the form z*j + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d = -38. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 26, 43, 62, 83?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 + -5.48. Let d = g - -5. Sort 3, -3, d.\nAnswer: -3, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155692775 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-20))\/(-7*(-2)\/(-7))*148.\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let b(u) = -2*u - 1. Let i be 6\/(2 + 2 - 0 - 6). Let k(n) = 8*n - 44. Let d be k(6). Give d*w(x) + i*b(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/73 + -77\/146. Suppose y + 3 = 2. Let j be -3*(-3 - -4) + y. Put u, j, -2 in decreasing order.\nAnswer: u, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9264 + 157486\/17. Let s(a) = 2*a + 7. Let j be s(-5). Let f = 4 - 5. What is the second smallest value in f, b, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 2. Let x(v) = 5*v**2 - 15*v + 18. Let q(p) = -h(p) - x(p). Let k(c) = 4*c**2 - 12*c + 14. Let d(f) = -6*k(f) - 5*q(f). Give d(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r + 4 + 4 - 8 to the form q + g*r and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -0.8. Let c = s + 8.2. Let y = c - 7.9999904. Round y to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*r - 12 = 0, -118*g + r - 11 = -117*g - 12 + 4 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 37*z - 35*z - 4*f, 2*f = -5*z + 10. Which is the nearest to -11? (a) z (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/9, -4, 1.7, 1, -845, -0.4, -0.05?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 0*t**3 + 4*t**3 + t**3 - 2*t**3 + 4*t**3 + (5 + 13 - 11)*(-t**3 + 3*t**3 - t**3).\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 5*q - 1. Let a(n) = -3*n**2 + 11*n - 1. Suppose 33*g - 37*g = -5*s + 3, 0 = -4*g + 2*s + 6. Calculate g*a(j) - 5*t(j).\nAnswer: j**2 + 8*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -946 and -946 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 23*h + 3. Let x(c) be the first derivative of 4*c**2 + c + 280. What is 6*o(l) - 17*x(l)?\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -14*p + 832. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*v - 640, -3*i - 412 = -2*v - 4*i. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.5 (b) 3\/5 (c) -2 (d) 13\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/(-105) + ((-978)\/190 - -2). Which is smaller: -4 or n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 1468710\nAnswer: -19\/1468710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 - 11*g + 23*g + 3*g**3 + 2*g - 5*g as a*g**2 + i + n*g**3 + u*g and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3*(-108)\/(-8). Suppose 0 = -5*p + 1 + i. Suppose -b = p*b - 12. Calculate the highest common divisor of 32 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/19 - 424*h**2\/19 - 22042*h\/19 + 45796\/19 = 0. What is h?\nAnswer: -107, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 482.651 - 483. What is p rounded to 2 decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37 + 127*q**2 - 15 + 16 - 146*q**2 wrt q.\nAnswer: -38*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**5 + 70*i**4 + 155*i**3 - 710*i**2 - 160*i + 640 = 0 for i.\nAnswer: -8, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - j**4 - 6*j + 6*j + (2*j - 5*j + 4*j)*(5*j**3 - 5*j**3 - j**3) + 10*j**4 + 5*j**4 - 5*j**4.\nAnswer: 8*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 422314103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000144844 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 12687*r + 2 + 5176*r - 4761*r - 12927*r)*(-1 + 0 + 0).\nAnswer: 25199*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 - 1. Let h(q) = 6*q**3 - 15*q**2 + q - 12. Let n(g) = h(g) + 5*z(g). Let c be n(10). Which is bigger: c or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 368681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -3, -10, 6\/95, 5 in ascending order.\nAnswer: -10, -3, 6\/95, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*r = -559 + 1640. Let s(d) = 2*d + 62. Calculate the remainder when s(0) is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -320 - -322.88. Let d = k - 1.88. What is the second smallest value in 0.05, d, 4, -4\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k = 69*k + 51*k - 170 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 5*f - 1. Let l be u(-5). What is the units digit of (24\/(-10))\/(l\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 6142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 a factor of 446200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 432\/(-207) - (6\/(-69) + 0). Put 3, -1, z, -6, 4 in ascending order.\nAnswer: -6, z, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*k - 131, 0 = -v + 5*k + 82 + 56. What are the prime factors of v?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2236283 and -38\/49?\nAnswer: 15653981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1379444 and 132?\nAnswer: 4138332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a64608 - 4?\nAnswer: -a64610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 + 58 = 41*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599 = 5*s - 2664. Let y = s + -4549\/11. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 2*b**2 + 4*b**2)*(b - 5*b + 0*b) + (b**2 + 0 + 0)*(-b + 2*b + 2*b) - 2*b**3 + 4*b**3 + 3*b**3.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4267, 4216, 4167, 4120, 4075?\n\"Answer: n**2 - 54*n + 4320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 12, e: 3, v: 2}. What is prob of picking 2 q and 2 v?\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5325157 divided by -1\nAnswer: -5325157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 890851828 to the nearest integer?\nAnswer: 29847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(50) + sqrt(2) + -1 + -4)**2.\nAnswer: -110*sqrt(2) + 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 6*i**2 - 6*i - 10. Let v = 49 + -30. Let d = 12 - v. Is j(d) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2 + 1. Let r = 132 + -3301\/25. Do r and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(4\/9)\/t)*t*t)\/t*t)\/(t\/(((t*t**(-30))\/t)\/t*t)) assuming t is positive.\nAnswer: t**(-247\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 69*g**2 + 287*g + 299. What is d(-73)?\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.3222 and 1.07?\nAnswer: 8.904754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (424\/530)\/(2\/5*3*8\/(-48))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsyn when four letters picked without replacement from nynshnb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016570473 rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 - -6 - (-8591)\/(-1122) and -25\/14?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 + 5*z**4 + 2*z**4 - 4*z**4 + 3*z**2 - 3*z**2 - 3*z**2 - 2*z**4 + 3*z**2 + (-z**2 + z**2 - z**3)*(-z + 6*z - 3*z) - 2*z**4 + 2*z - 2*z.\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - j + 107. Let n be w(0). What is the hundreds digit of n*(-4 + 3 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2 = -26*q + 27*q, 2*l = -3*q + 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, j: 1, z: 2}. Give prob of sequence zzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203\/15 + -1391\/105. Which is the nearest to -1\/2? (a) -193 (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 3*o + 3. Let m be s(0). Solve -5 = -m*i - 2, 5*a = 2*i - 27 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1506, 1430, 1354, 1278, 1202, 1126?\n\"Answer: -76*i + 1582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104 is divided by (-5434)\/(-55) + 3 - (-8)\/(-10).\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.383 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/3 - -3)*-3. Put -2, 0, j in increasing order.\nAnswer: j, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 27*j - 241*j**2 - 5*j + 0*j + 232*j**2 in the form s*j + k*j**2 + u and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 207 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5000))**2.\nAnswer: 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -73?\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5*d)\/(d**(-5)\/d))\/(d**(4\/7)\/(d*d*(d\/d**(2\/3))\/d)) assuming d is positive.\nAnswer: d**(268\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 14)*(h**5 + 0*h**4 + 0*h**4).\nAnswer: 17*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 10121?\nAnswer: -10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.35, -309, 0.9, 2, -5\/6 in ascending order.\nAnswer: -309, -5\/6, -0.35, 0.9, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5 - 140*r**4 - 2714*r**3 - 9240*r**2 - 8712*r.\nAnswer: -2*r*(r + 2)**2*(r + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -24571 and -319422\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-9))\/((-1)\/18). Suppose 4*m = -j - 3, -k = 3*j + 3. Suppose 0 = -5*q - m*q + 20. Calculate the greatest common factor of 16 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 4*t**2 + 3*t + 6. Calculate the lowest common multiple of 84 and z(-6).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (65 + 0)*348\/290. What is the highest common factor of w and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - l + l + l**3 + 0*l**3 + 3*l**3 + (-5 + 5 + 2*l)*(-3 - l**2 + 3) + 3*l**3 - l**2 + l**2.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**8\/1344 + f**7\/280 + f**6\/120 - f**5\/15 + 2*f**3\/3 + f**2 - 24. Factor x(c).\nAnswer: -(c - 2)**3*(c + 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607190 to the power of 1\/2, to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -208353 and -0.2?\nAnswer: 208352.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 189 divided by 5842\nAnswer: 189\/5842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 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 -200*n + 46*n - 115*n + 2959 = 0 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3. Let a(m) = 15*m**2 + m. Let d be a(j). Suppose 3*z - 15 - 1 = 2*y, -3*z + d = -y. Solve 5*k + 19 = -7*b + 4*b, 5*b + 7 = z*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*l + 5*l + 7, -5*l = -i - 10. What is the second biggest value in 2\/9, i, 0.3, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 2*m**7\/105 - 59*m**6\/120 - m**5\/4 - 9514*m**2. Solve w(a) = 0 for a.\nAnswer: -1\/4, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/18 and 127\/9011904.\nAnswer: 27035712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -3870.\nAnswer: -1\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-3)\/(-33)*13 - 1). Solve f*l - 1 = 10*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -152887 and -0.39.\nAnswer: 59625.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -502, -0.1, -3644, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/15*20 + -6. Is 24 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.31006 decades to months.\nAnswer: 10117.2072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1132*n + 143 = -1143*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/49358 and 62\/69745?\nAnswer: 3208270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/48 and 17\/344?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 2*v**3 - 2*v**3 - 1 + 1 + v**3 + (2*v**2 - v**2 + 2*v**2)*(5 - 2*v - 5) + 5*v**3 - 2*v**3 - v**3 + (-12 + 12 + 3*v**2)*(1 - 1 - v).\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:45 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124849*n - 41617*n - 41620*n - 15 + 3 - 41616*n.\nAnswer: -4*n - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.4. Let x(d) = 2*d - 24. Let g(s) = -s**2 + 11*s - 17. Let r be g(6). Let j be x(r). Which is the second biggest value? (a) j (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14885 and 1.15?\nAnswer: 17117.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (9 + -3 - 13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - f**2 + 3*f + 2. Let w be b(0). Let o be 85\/10 - (-3)\/w. Solve -5*q + 3*k + 4 = 18, q - 3*k + o = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b39 (base 14) in base 5?\nAnswer: 32312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 162, 165, 168?\n\"Answer: 3*b + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1)\/((-21)\/6). Let a = 187.9 + -25.9. Let w = 161.9 - a. What is the fourth biggest value in w, -2\/13, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20104177 to the nearest integer?\nAnswer: 4484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 3*i - 2. Let x be p(2). Let u be 2\/(-6)*x\/2. Suppose 2*q - 3*q + 11 = -3*z, 2*z + 2 = 0. Solve 2*w - 3*g = -u*w, -q = 2*g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*d - 0*d. What is the second derivative of 10*o**5 - 4*o**5 + o**5 + 8*o**d + 11*o wrt o?\nAnswer: 300*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1774 = -438. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5 + 410536*g**4 - 21065423106*g**3 - 210690359604*g**2 - 252863903736*g + 1517006062224 = 0. Calculate g.\nAnswer: -6, 2, 102639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/6 - 5488637*f\/6 + 914773.\nAnswer: -(f - 1)*(f + 5488638)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 114528823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15382072 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -191 and -16.\nAnswer: 3056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -9 - -2) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3563\/3780 - 6\/10 and (-2009)\/784 - (1 - (0 - 0)).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 3*i**2 - 2*i + 3. Give j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -138 - -120. Let l(o) = -11*o - 22. Let m be l(r). Calculate the greatest common factor of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/20 - 10\/(-4). Solve -u + 2 = -q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**4 - 3*d**3 - 75*d**2 - 14*d - 79 wrt d.\nAnswer: 12*d**2 - 18*d - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (5\/30)\/((-5)\/(120\/32))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 42. Let m = j - 42.9999595. What is m rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13935 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 12*m + 50. Give t(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 860 - 4 = -3*h, f + 4*h = 864. Suppose 8*g + f = 9*g. Is 48 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 484 = -127. Let c(l) = 34*l + 561. Let i be c(-16). What is the greatest common factor of i and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine fifths of a hour?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/((j**5\/j)\/j))))**(-34) assuming j is positive.\nAnswer: j**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54956, -55520, -56084, -56648, -57212, -57776?\nAnswer: -58340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13679*a**3 + 7877*a**2 wrt a.\nAnswer: 82074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*z + 9 + 3*z**4 - 31*z wrt z?\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + -1 - (-8 - 40\/2). Solve -3*n - n - o = 5*t, 3*t = 4*n - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1115 divided by 1?\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x + 586*x**4 + 1 - 270*x**4 + 1 - 314*x**4 - 7*x**2 to y*x**4 + j*x + q*x**2 + z*x**3 + g and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 + 0*y**3 + 0*y**3 + 2*y**4 - 2*y**4 - 2*y**4 + (-4 + 4 - 2*y**3)*(2 + 2*y - 2) + 71673*y - 35836*y - 21758*y**4 - 35837*y.\nAnswer: -21763*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29420 + -29100. Calculate the smallest common multiple of 80 and n.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q + 5*s - 69, -3*q + 73*s - 69*s = 27. Let d = -4 - -7. Which is the closest to d? (a) q (b) -5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**2*u*w**2 - 18730*l**2*u*w + 11*l*u*w**2 + 2*l*u*w + 7*u*w**2 - 97*u*w wrt l.\nAnswer: 4*u*w**2 - 37460*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 58 + 115. Calculate the remainder when x is divided by 93.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 greater than or equal to 605847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(5\/6)\/i**37)\/(i**(-2\/7))**12)**(-12\/17) assuming i is positive.\nAnswer: i**(2750\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = -19*m + 572. What is the greatest common divisor of m and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 828.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 804 a factor of 2226835519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*u + 1165 = 0, 2*u - 549 = -3*o + 146. Suppose -196 = -25*f + o. What is the greatest common divisor of f and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Let i = 0.03 - -0.47. Let g = -1 - -0.8. Which is the third biggest value? (a) g (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u**2 + 15*u + 15. Let q be d(-12). Suppose -3*j + 2*s = -s - q, 2*j - 5*s = 742. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 57*g**2 - 4*g - 5. What is c(-1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2105055401 - -2?\nAnswer: -2105055355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 9. Let u be x(-2). Suppose -o = -2*b + 30, -u*o + 13 + 6 = 3*b. Are b and 10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -226441, 4, -15 in increasing order.\nAnswer: -226441, -15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 + 177. Suppose 2*m - 20 = 2*r, -2*m - r = -0*r - 14. Let k be 6*m\/(-6)*-2. Calculate the greatest common factor of w and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -78\/5, -2\/3, 0.01?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 d when four letters picked without replacement from xxaafxxxaddad.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:20 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-9 - 8 - -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 5*(1 - 5). Let w = -10 - l. Let h = -1 + w. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 2:50 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 46754*n + 5 = -46749*n, 3*h + 4*n = 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-6))\/((-2)\/(-78)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6331 is divided by 1254.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 31. Determine z(29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2293 + 5*i + 2293. Let s(m) = -8*m + 6. Let h(r) = -r + 1. Let v(l) = -6*h(l) + s(l). Calculate v(x(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - -0.1. Suppose 11 + 13 = 4*c. Let l be c\/(-72) + (-2)\/(-6). What is the closest to l in b, 2, -3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-120)\/(-96)*(-4 - 84\/(-15)). Let z(v) = 4*v**3 - 3*v**2 + v + 2. Calculate z(p).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.02, 0.6, 8?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 29*n**2 + 10*n + 48. Let j(c) = 82*c**2 + 28*c + 144. Let p(k) = -17*f(k) + 6*j(k). Factor p(r).\nAnswer: -(r - 6)*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + sqrt(720)*2 - sqrt(720)) + 2)**2.\nAnswer: 96*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.303316mg?\nAnswer: 0.000000006303316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/(-4)*(-192)\/9. Let p be w\/6*(-18)\/15. Suppose -5*a = -3*v - 225, -a - 119 = -4*a + 5*v. Calculate the greatest common divisor of p and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -9 - 6, 0 = -r + 2*q + 33. Suppose -38*m + r*m = 865. What are the prime factors of m?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + ((sqrt(112) - (0 + sqrt(112))) + sqrt(112) + -5 + (0 + sqrt(112) + sqrt(112) - sqrt(112)) + 4 + sqrt(112) - (3 + 4 + -3*sqrt(112)))*4)**2.\nAnswer: -5184*sqrt(7) + 65241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 + 56\/(-12))*2931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415667.044 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -38518 (base 10) in base 11?\nAnswer: -26a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + (-1 + sqrt(13))**2 + (sqrt(13) - (sqrt(1573) + 2)).\nAnswer: -12*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32292*x + 32288*x - 3*o = -53, 2*o = -x + 17 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 1. Let t(r) = r**2 + r - 4. Let c be t(f). Solve -c*z - 4*w = z + 13, -5*w - 17 = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3100419 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.765 + 5.8. Let g = 19057 + -19057.035058. Let w = x + g. What is w rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 92. Suppose -n = -0*d - 4*d. Calculate the highest common factor of d and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 6:12 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4 + 45*p**3 - 57*p**2 - 261*p - 156 = 0 for p.\nAnswer: -1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14182126.\nAnswer: 2, 7, 1013009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:04 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -0.5666733\nAnswer: 0.045333864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(91) + ((sqrt(91)*1 - sqrt(91)) + sqrt(91) - sqrt(91))) + sqrt(91) + 1*sqrt(91)*2)\/(1*sqrt(1008)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/9))\/s)\/(s\/(s\/(s\/s**25))) assuming s is positive.\nAnswer: s**(214\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-404)\/(-190)*-1 - (52 - 54). Let j = -243\/4180 - t. What is the common denominator of j and 1 + (-935)\/60 - -4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 2:46 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 14. Let v(c) = c - 9. Let b be v(12). Sort 1, b, u in ascending order.\nAnswer: 1, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 14)\/(3\/(-6)). Let k be (w\/40)\/((-9)\/40). Solve k*l - 2*l**2 - 2\/3 - 10\/3*l**3 + 8\/3*l**4 = 0 for l.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n - 6*n + 3*n - 5*n. Let m(v) = -2*v**2. Determine m(j(x)).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -n - 5. Let k = n - 3. Do 2 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z**2 - 14315*z + 944837. Calculate w(64).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*i + 536*i + 30 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-19)\/(-10) + -2). Let a = -8 + m. What is the remainder when 42\/9 - 2\/3 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 7*h**2 - 5*h - 3. Let i be w(6). Suppose 0*d + 203 = -5*l + d, 3*d - 117 = i*l. Let o = 121 + l. What is o rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15995*a + 15929*a = 1320 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29286 is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 824 - 803. Solve 8*a = a + u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by (-4)\/(-4) - (10 + -104).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 - d**2 + 23*d + 2. Let y(z) = -2*z**3 + 13*z + 1. Determine 4*l(c) - 7*y(c).\nAnswer: 2*c**3 - 4*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 586 (c) 23.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 13 = -3313. Let s = -73 + h. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 2\/27 (c) 3 (d) -2771\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 5*p - 6. Let l be f(-7). Let o = 11 - l. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1525418 = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwv when three letters picked without replacement from wwwwwvwvw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251 (base 6) in base 16?\nAnswer: 13f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*m)*(-16*m**2 - 135 + 135)*(-401 + 401 + 2*m - 237*m**2).\nAnswer: -7584*m**5 + 64*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 127 + 1 = 0. Suppose -4*g - 2 = -i. Solve 0 = 2*d + g + 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + -0.9. Let y = -9 + 4. Let i be (2\/(-28))\/(13\/104). Which is the third smallest value? (a) i (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4326 = -4*b, 3*b - 4*o - 4683 + 1442 = 0. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucuu. Give prob of picking 2 u and 1 c.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -55 (b) -3 (c) -1\/2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -198, 1, 9, 45, 0.4?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 6)*(p - p + p)*(5 - 5 + 2).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in 8, 0.07, -4, -11\/2?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9301 and 1179?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-24) - (-18)\/1. Suppose 13*z = y*z - 27034. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -0.2 (c) -2\/9 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**5\/20 + 3*r**4\/4 + 2*r**3 - 9*r**2 - r + 11. Let h be m(-6). Which is the biggest value? (a) -0.2 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -0.4 (b) 0.1 (c) 0.11 (d) -2\/7 (e) -70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 - v. What is the least common multiple of i(1) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -586815 divided by 355.\nAnswer: -1653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5\/11 + 1246*h**4\/11 + 7404*h**3\/11.\nAnswer: 2*h**3*(h + 6)*(h + 617)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.04, -4\/35 in decreasing order.\nAnswer: 0.04, -4\/35, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -38851 minus 543.576662?\nAnswer: -39394.576662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8495821700 rounded to the nearest 1000000?\nAnswer: 8496000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.3 + 9.2939. What is f rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 - g + 1. Suppose -p + 97 = -3*n + 8*n, 0 = -3*n - 9. Let d = p - 111. Determine v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5. Let p(j) = j + j**2 + w*j + 3*j**3 - 7 - 2*j**3. Suppose -4*f + 6*f = 0. Determine p(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/30)\/(1\/(-5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q - 21. Let l be (-3)\/(-4)*(4 + 0). Let z(x) = -4*x + 4*x + 7 - l*x + x. Let n(a) = -6*i(a) - 17*z(a). What is the first derivative of n(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0292361 rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7903826 years?\nAnswer: 0.0007903826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 1. Let c be i(-8). Let a be c\/2 - 2\/4. Let h = -11 - -7. Sort 1, a, h in increasing order.\nAnswer: h, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 234668609 or -1?\nAnswer: 234668609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71991 (base 10) to base 3.\nAnswer: 10122202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -474 + 881. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4722 - -4722.16. What is the smallest value in -52, q, 3?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 551, 546, 541, 536?\n\"Answer: -5*x + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*h + 12, -5*h = 3*t - 1 + 2. Let n(i) be the first derivative of -t*i**2 + 1 + i**3 - 1\/8*i**4 + 4*i. Factor n(u).\nAnswer: -(u - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6722.531 millilitres?\nAnswer: 6.722531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3551 - 3568.13. Let q = 17 + w. Round q to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083*q**4\/5 - 10229733*q**3\/5 - 201452454*q**2\/5 + 266709024*q\/5 - 85512672\/5 = 0 for q.\nAnswer: -9426, -21, 12\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.2*-1377116.\nAnswer: -26440627.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 3866*u**2 - 1874030*u - 5587350.\nAnswer: -2*(u + 3)*(u + 965)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllldallllddiulilud. What is prob of picking 2 l and 1 a?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/33336 or -1.4?\nAnswer: 1\/33336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*n + 82*n**2 + 97*n - 14*n**3 - 76*n**2.\nAnswer: -14*n**3 + 6*n**2 + 318*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 (base 10) in base 5?\nAnswer: -2311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1 (c) -102 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, b: 4, g: 2, h: 4, l: 1}. What is prob of sequence hohl?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 14*n**2 + 2. Let m(x) = -13*x**2 + 1495*x. Determine m(k(j)).\nAnswer: -2548*j**4 + 20202*j**2 + 2938","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4\/11 + 406948*a**3\/11 - 1627754*a**2\/11 - 1220856*a\/11 + 7324920\/11 = 0.\nAnswer: -2, 3, 203470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1.23\nAnswer: -0.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2744 + 761 = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**2 + 0*c**3 - 1\/20*c**5 + 0*c**4 - 1 + 0*c. Let v(g) be the second derivative of y(g). Let m(u) = -2*u. What is m(v(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1269 and -0.09?\nAnswer: -114.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22333588 is divided by 89693.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1256 (b) -2\/5 (c) 2\/3 (d) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**5\/2 - 17*p**3\/6 + 8*p + 17. Let u(w) be the first derivative of i(w). Find the second derivative of u(q) wrt q.\nAnswer: 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000496 to seven decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 3051794.\nAnswer: 33569734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 228*y**3 - 213*y**3 - 218*y**3 - y + 641*y**3.\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 18 = 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o. Let u(t) be the third derivative of -t**7\/5040 + t**5\/10 + 7*t**2. Let k(j) be the third derivative of u(j). Determine q(k(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1561883, -1561995, -1562181, -1562441, -1562775, -1563183, -1563665?\nAnswer: -1564221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*i + 12, -3*l - 12 = -5*l + 4*i. Sort l, 0, 3.\nAnswer: 0, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 1 = -6 - 9, 0 = -10*d + 5*h + 250 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3186199\/2533538 - 638\/511. Find the common denominator of h and -25\/12.\nAnswer: 29748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-37)\/1 - (0 + 1). Let w = c - -56. Let x = -7 + 24. Is w less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 89*g - 88. Let q be d(1). Solve 4*o + q = 28 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47959202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9*t*t**(-19))\/(t**3)**(-13) assuming t is positive.\nAnswer: t**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 141131 - -2203425?\nAnswer: 2345000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s + 16. Give q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -176 (base 14) to base 10\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*c - 4*f, 2*f + 17 = c - 2*f. What is the third smallest value in -0.3, 0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-86)\/(-10) - (-2)\/5. Let x = t - 5. Solve -g + 6 = x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**2 - 52112*j - 364980 = 0. Calculate j.\nAnswer: -7, 13035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 - 80. Let n(j) = j + 7. Let b be n(9). Suppose 3*l = d - 6*d - b, d + y = 0. Is 11\/3 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - v**3 + 2*v**2 + (v**2 + v**2 + 0*v**2)*(-2 - v + 2) + (-v**2 + 5*v**2 - 2*v**2)*(-v + 0*v - 2*v).\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 15630.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:35 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24645 and 318?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**2)\/(w*w\/w**4)*w*w**(-2\/9)*w*w\/(w*w*w**(-4)*w*w))**(-25) assuming w is positive.\nAnswer: w**(-1750\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + -56. Calculate the highest common factor of v and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*j - 1 + 22*j + 3*j + 10*j + 0*j.\nAnswer: 80*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 231153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 k when three letters picked without replacement from {k: 1, j: 4, p: 3, l: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2949649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:31 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuuuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-6))\/(2\/16). What is the lowest common multiple of 7 and 2 + i + -4 + 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 19. Let z(c) = 3*c**2 - 3. Let a(h) = h**2 + h + 1. Suppose -4*r + 1 = -3*y, -2*y = -2*r + 5 - 3. Let m(w) = r*a(w) + v*z(w). What is m(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h + 2. Let k = 25 - 19. Determine c(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**2 - 22*v - 85. Calculate the remainder when g(-4) is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10 - 5 = 0. Let m = 27 + -26.97. What is the nearest to m in a, -1\/5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 35*n - 5*n - 6 - 4*n - 13*n - 8*n. Calculate y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**8\/2184 - x**7\/1365 - 11*x**6\/780 + 3*x**5\/130 + 3*x**4\/26 - 575*x**2. Suppose t(u) = 0. Calculate u.\nAnswer: -3, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 36 + 34 = 0. Let b(c) = 2*c**2 - 13*c + 26. Calculate the smallest common multiple of b(f) and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -309 divided by 4?\nAnswer: -309\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 e when four letters picked without replacement from eeeenpeeenp?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-896)\/21)\/16*(-27)\/(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1495, 1, 4 in decreasing order.\nAnswer: 1495, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqbbqbqqbqqqqqb.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-21 - (-4 - 7)) - (43 + -19).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120653472.\nAnswer: 2, 3, 331, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5 or 671\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 + 1045\/12. Let c(w) be the second derivative of -1\/90*w**6 + 0 - 1\/18*w**3 - 1\/20*w**5 + 0*w**2 - x*w**4 - 7*w. Determine r so that c(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 2)\/(-48 - -8). Is -1 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -9*p - 20 + 20. Let h(k) = 2*k. Determine h(f(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17930347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2233203 + -3?\nAnswer: 2233200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89220 by -5948.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (75 - 73)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -15 - -14 - 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m - 21. Let z(u) = u**2 + 16*u - 31. Is z(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 18713532?\nAnswer: 93567660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 292 + -1?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, 1285, 1, 5, -9 in decreasing order.\nAnswer: 1285, 9, 5, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 38 = -3*a, 3*a - 4*a + 5*b - 26 = 0. Let u be 2*4 - (a - -5 - -2). Solve u = -4*t - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b**4\/5 + 1686*b**3\/5 - 22308*b**2\/5 + 13536*b - 15552\/5 = 0. Calculate b.\nAnswer: 1\/4, 4, 12, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 - 3*r**2 + 29 - 93*r + 30*r + 36*r + 30*r to the form t*r**3 + p + y*r**2 + d*r and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-624) + (-8)\/104.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 510 + -500. Suppose 10681 = h + g*h. Round h to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 121*c + 40. Determine a(-1).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.1 - -6.5. What is the closest to -2\/7 in 2\/7, -5, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {e: 1, b: 2, j: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8 + 3.35.\nAnswer: 5.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-108)\/9)*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2*i + 22, -8*f + 136*i - 138*i - 104 = 0 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + (sqrt(320) - (1 + sqrt(320)) - sqrt(320)) + 2 - (2 + 4*(-1 + sqrt(320)) + sqrt(320)))**2 + -3 + 3.\nAnswer: 192*sqrt(5) + 11526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3 - 2. Let c(y) = -y**3 + 4*y**2 + 7*y. Let r be c(j). Let l(k) = 3*k**2 + k - 1 + k**3 - r*k**3 - 3*k**2. Calculate l(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 0)*(-2 + 2 + 3*n)*(13 - 35 + 8) in the form b*n + s and give b.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqqu when four letters picked without replacement from {q: 3, u: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**5 + 20*w**4 + 355*w**3 + 910*w**2 + 576*w = 0.\nAnswer: -9, -2, -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -169503870 rounded to the nearest 10000?\nAnswer: -169500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)*b**6\/b)\/(b**(-4)\/b**(-1)))\/((b**(-2\/19)*b**4)\/(b**(-2\/3)*b*b*b*b**1*b*b*b)) assuming b is positive.\nAnswer: b**(2323\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2515591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 633376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnnb when four letters picked without replacement from nbbbbnppbpn?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 10*x. Let j be t(3). Suppose 11*s + j = 14*s. Let f = s + 8. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3260\/40)\/((-2)\/(-4)).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(o + o + o) - 3 - 3*o + 3 + 1 in the form j + b*o and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-21))**(1\/7) assuming x is positive.\nAnswer: x**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 42, 79, 116, 153?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36334589?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*z**6 - 389*z**4 - z**2 - z + 118?\nAnswer: -3960*z**3 - 9336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 348*u**4 + 3*u**2 + 4573 wrt u?\nAnswer: 1392*u**3 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - 30*b + 6. Let f be z(-14). Let y = -25 + f. What is the first derivative of -y*h + 0 + 3 + 0 + 8*h wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 95368 divided by 4.\nAnswer: 23842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**2\/2 + m - 1. Let f be z(3). Let v be 4\/f*8\/(-4). Solve -v + 1 = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 20 - 9 + 2026*z to the form h*z + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145 - 127. Suppose -4*c + 3*c + 27 = 0. Let o = c - x. Solve -z - 4*f - 2 = 1, 3*f = -3*z - o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67667 and 6896?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 390 = -123. Let o(c) = 3*c**2 + 3*c - 3. Let j(s) = s**3 + 2*s**2 + 3*s + 3. Let z be j(-2). What is the remainder when h is divided by o(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -35 (b) 5 (c) 1\/6 (d) -0.045 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -508, -1704, -3690, -6460, -10008, -14328, -19414, -25260?\n\"Answer: j**3 - 401*j**2 - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1305*g**2 + 1293*g**2 - 8040*g + 8040*g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -233078 + 2?\nAnswer: -233076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -5)\/(-6 + 20\/5). Factor -8*w - 1\/2*w**5 + h - 12*w**3 + 16*w**2 + 4*w**4.\nAnswer: -w*(w - 2)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36171147 + 0.006?\nAnswer: -36171146.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2 - 4*f. Suppose 0 = -0*r + 2*r - 6. Let s(l) be the second derivative of -l**4\/3 - l**3\/2 + 10*l. Let d(u) = r*h(u) - 4*s(u). Factor d(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*1\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 700 and 240?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15 + 114\/(-10) + (-3)\/1. Let u = 0.6 + -0.7. Which is the closest to -1? (a) z (b) u (c) 2\/3 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10217 (base 8) to base 15.\nAnswer: 13c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 13*k**2 - 8*k + 8. Give d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4870138?\nAnswer: 1\/4870138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(8)*-2 + 0)*6.\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6201 and 105651?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/105)\/(52\/(-13))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*k + 3*k + 4*m, 4*m = -20. Factor 49\/3*f**5 - 77\/3*f**4 + k + 32\/3*f**3 + 0*f - 4\/3*f**2.\nAnswer: f**2*(f - 1)*(7*f - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41691111 divided by -9?\nAnswer: 13897037\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -13. Let k(u) = -4 - 6*u**3 - 3*u + 7*u**3 + 0*u - 4*u**2. Let d be k(h). What is the greatest common factor of 12 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*h + 12 + 4. Solve f - 2*o = 7, 5*f - h*o - 4 = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3499 is divided by 146?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 4. Suppose 0 = -2*o - c*t + 26, t = -0*o + 5*o - 32. Let h = o - 0. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 89, -1424, -6105, -15538, -31307?\n\"Answer: -264*c**3 + 335*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622699447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -3.2.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 3:33 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Suppose 0 = -6*h + 4*h - s. Let x = -29\/5 + 169\/30. Which is smaller: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 55 = 5*j + 3*c, 2*c = 0. Let x = 25 - j. Let q(n) = x*n**2 - 5 + 7 - 2. Let k(i) = 2*i. Determine q(k(u)).\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 136303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = 2*n, 5*o - o = -2*n + 10. Let d = -16 - -23. Calculate the remainder when d is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*k**3*r**3*x**2 - 3*k**3*r**2*x**2 + 6*k**2*r**3*x + 10*k**2 - k*r**3*x**2 - 2*k*r**3*x wrt k.\nAnswer: -282*r**3*x**2 - 18*r**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*s**2 + 127*s**2 + 122*s**2 + 130*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -521 divided by 2?\nAnswer: -521\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a - 26. What is q(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Let l(v) = -3*v**2 + 5*v - 1. Let i(f) = f**2 - f + 1. Let r(o) = -2*i(o) - l(o). Let z be r(4). Solve z*m - 6*m = u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 11*q - 14. Let x be m(-10). Let v(s) = 3 + 1 + 26*s - 21*s. What is v(x)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/((m*m**(-2\/21)*m*m)\/m))*m\/(m*m**(15\/8)*m) assuming m is positive.\nAnswer: m**(-163\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -697771*m*t - 35350*m wrt t.\nAnswer: -697771*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3071103968.\nAnswer: 2, 95971999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 5142*q + 112156.\nAnswer: 2*(q + 22)*(q + 2549)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 4, 10 = -42*p + 38*p + 5*n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29001317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 5*x**2 - 2*x. Let i(p) = -18*p**3 + 17*p**2 - 20*p + 25. Let s(n) = i(n) - 3*u(n). Find the second derivative of s(q) wrt q.\nAnswer: -90*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 4*q**2 + 4*q + 3. Let r = -4 + 6. Suppose 0 = -u + 5*u - 2*g + 2, u - r*g = 4. Is x(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrrzyzrjrr. What is prob of sequence rz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 - -120.014. Let m = j - -0.386. Put 0.5, m, -2\/13, 2 in decreasing order.\nAnswer: 2, 0.5, m, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 27. Solve k - 5 = b - 2*f, f - 24 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 y when three letters picked without replacement from {l: 1, i: 3, u: 3, y: 2, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**3*l*z + 8*j**3*l - 20*j*l*z - 251*j + 51*z**2 wrt z?\nAnswer: -j**3*l - 20*j*l + 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c + 2. Let z be d(-7). Suppose 8*u - z = 3*u. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1973632 divided by -1814.\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/14)\/(55\/385)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -17603763462975.\nAnswer: -17603763462971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5016 - 0?\nAnswer: 5016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h. Let g = -143\/6 - -24. Let p(b) be the second derivative of -b - g*b**3 + 0*b**2 + 0. What is p(j(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1581)\/3410 - 16\/440?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - (-946)\/33) + -2\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w + 492 = 0. Suppose d = 3*d - w. Round d to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 + -34 - -19) + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3*x - 5365*l**3 + 24*l**2*x**2 + 103*l*x - 2*l with respect to x.\nAnswer: -2*l**3 + 48*l**2*x + 103*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/5 - -2\/35. Let s = -395 + 403. What is the nearest to 0.1 in 5, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -13?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -36. Suppose 7*l = 4*l + 4*m - 103, -i*l = -5*m + 71. Let c = l + 38. Solve -c*p = -h - 8, p - 3*h = -2*p + 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-9))\/(21\/((-231)\/(-22))). Let s = -0.37 + 0.07. Which is the third smallest value? (a) -4 (b) h (c) 0 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from hkrkk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36288 - 34676.91. Let j = w - 1475.9. Let y = j + -136. Round y to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 - 1. Let c be r(-1). Suppose 5*z - 429 = 3*z + 5*n, c*z - 3*n = 431. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*r**4*x + 3*r**4 - r**3*x - 16*r**3 + r**2 - 4828*r*x wrt r?\nAnswer: -336*r*x + 72*r - 6*x - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and 1634?\nAnswer: 1797.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22270.\nAnswer: 2, 5, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9561.099ml to litres.\nAnswer: 9.561099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 + 327*b**3.\nAnswer: 3*b**3*(b + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -1\/2 (c) 0 (d) -105 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 + -7 - (5 + (13 - 20)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -29813320 to the nearest one hundred thousand.\nAnswer: -29800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**3 - 5977527*i**2 + 2977595985000*i - 26797879687500 = 0.\nAnswer: 9, 996250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 143*-3 - 2\/(-7). Let a = x - -428. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a - 62?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01284 + 2?\nAnswer: 1.98716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*f + 14 = 0, 0 = -4*f + 12 - 4. Suppose g*w - 10*w = -128. Calculate the remainder when w is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u - 207 - 11 + 14*u + 12*u. Let q be v(11). Which is the nearest to -2\/3? (a) q (b) 0 (c) 0.3 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19643, -19642, -19641, -19640, -19639?\nAnswer: -19638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 56 = -m - 40, -8 = -2*v - 2*m. Let o(p) = -p**2 + 0 + 3 + 2*p + 4*p + 2*p. What is o(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -608\/5*s - 114\/5*s**3 + 17\/5*s**4 - 1\/5*s**5 + 376\/5*s**2 + 384\/5 = 0. Calculate s.\nAnswer: 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9813411?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 398226 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 8. Let c be b(6). Let l be 5 - (-2)\/4*c. Suppose 0 = -5*n + 4*o + 47, 2*n + 5*o = l*o + 11. Calculate the remainder when 12 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -68)\/(4\/8). Which is bigger: 134 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -943436 by -235859.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 6*v - 4*v)*(7 - 1 - 1)*(2*v + 2*v + 5*v).\nAnswer: 90*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 10 = -u, 4 + 107 - 28 = -2*u + 5*t for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 7:41 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 555954 (base 10) in base 8?\nAnswer: 2075662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 279*-0.09\nAnswer: -25.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 479959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0252316477 to 3 dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61091 is divided by 5552?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/((185\/555)\/(3\/18*-1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/42*245\/75*6.\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/15 - (-3)\/(-5). Let r be (-1)\/2*4*f. Which is the biggest value? (a) r (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -32453938741 and -161.\nAnswer: -32453938902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12323 - 12317. Solve -236*l = -234*l + y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -3*i**3\/2 + 20*i**2 + 789*i. Determine b(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4 - 121068*i**3 + 1832424698*i**2 - 7328246040*i + 7327761800 = 0.\nAnswer: 2, 30265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*l + 6, -3*l + 15 = -2*a + 5. Suppose 4*c + 3*d - 40 = -d, d = l*c - 40. Suppose c*u - 5*u = 1205. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(-1)*b))**(-5\/6)*b\/b**3*b**(4\/7) assuming b is positive.\nAnswer: b**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 9 + -5 + 2. Suppose -606902 = p*c + 1193098. Round c to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1299.\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/9 + 3327736*a**2\/3 - 2218492*a + 9983216\/9.\nAnswer: 4*(a - 1)**2*(a + 2495804)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 0, 14, 0.02?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -240 + 242.97. Let u = -2.67 + m. What is the closest to 0 in 7, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i = 9*i - 429. Calculate the least common multiple of 339 and i.\nAnswer: 3729","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 2*b - 8 = -4*t, -4*b - 937 = 34*t - 877 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 5*l + 5. Suppose -4*j + 4*p = -16, -3*j - 3*p = -j + 2. Let z = 2 + j. What is y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5663 divided by 7\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 e when three letters picked without replacement from {e: 1, m: 1, i: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2378, 27 in decreasing order.\nAnswer: 2378, 27, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1691110 divided by -5.\nAnswer: 338222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3 = -4*w, -3*w = 2*f - 4*f - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 6:18 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -329794 or 2?\nAnswer: -329794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77581 is divided by 2454.\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -4)*((-45)\/12 - -3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204471 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166690*g**5 + 4*g**4 - 22084962*g?\nAnswer: -3333800*g**3 + 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*sqrt(2)*1 + (sqrt(18) + 3*sqrt(162))**2.\nAnswer: -6*sqrt(2) + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*f - 3*f - 7, -3*q - f - 7 = 0. Let k be (2 + -2)\/(4 + q). Which is bigger: k or 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -907, 1\/38?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -58, -0.2, -1, -6\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 4*k**2 + 31*k + 19. List the prime factors of v(-13).\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -634*u + 117016. What is q(184)?\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -99250 rounded to the nearest 100?\nAnswer: -99300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3344\/2508*((-4)\/30)\/(16\/(-18))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6954 - 49222\/7. Are z and -77 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.38807 seconds to microseconds.\nAnswer: 4388070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 214, 215, 206, 181, 134?\n\"Answer: -k**3 + k**2 + 5*k + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b = -8. Let h(y) = 11*y - 5. Let a(q) = -q**3 - 8*q**2 + 10*q + 11. Let s be a(-9). Let m(g) = -g + 3*g - 7*g + s + g. What is b*m(u) + 3*h(u)?\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r - r + 143. Let k(n) = 9*n + 112. Let s be k(r). Solve 4*h - s*h = 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3 - 3*q + q**3 + 6*q**2 - 7 - 6*q. Suppose -2*j = -0*o + 3*o - 64, -3*j = -15. What is the smallest common multiple of o and c(-7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/9, 1\/3, -0.05, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/6))\/i*i\/(i\/(i*i**(-2\/13))))\/(i*i**2*i)**(-18\/7))**(-48) assuming i is positive.\nAnswer: i**(-49352\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 0*n. Suppose n = 7*q - 12*q + 45. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -23 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -4) + 5 + 0 + -5. Put 13, 0, -7, j in increasing order.\nAnswer: -7, 0, j, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10863\/34 + (-1)\/2. What is the greatest common divisor of b and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 305021 + 114?\nAnswer: 305135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111111 + 1011000000110100010?\nAnswer: 1011000010000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*d - 6*d**3 - 239*d + 33*d + d**3.\nAnswer: -5*d**3 - 406*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyy when three letters picked without replacement from {g: 1, y: 17}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 0.3, -1\/4, -5332\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1627 = 5*x - i, 0 = -5*x + i - 4*i + 1639. List the prime factors of x.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:08 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 268, 461, 692, 967, 1292?\n\"Answer: r**3 + 13*r**2 + 147*r + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*s - 12 = -132*s. Let v = -21.16 - -21. Let y = -0.94 + v. Do s and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*f - 375*f**2 - 538*f**3 + 543*f**3 + 257*f - 95*f + 80*f.\nAnswer: 5*f*(f - 74)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, x: 4, b: 1, j: 1, m: 1, t: 2}. Give prob of picking 1 j and 3 f.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(75) - ((sqrt(75) - (sqrt(75) + 3)**2) + sqrt(75))) + 4.\nAnswer: -500 - 150*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 31*l**2 + l + 88. Let u be ((-48)\/8)\/6*(2 + 29). Let b(w) = -w**2 - w + 30. What is the remainder when q(u) is divided by b(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -470 divided by 1\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 + -111. Let u(n) be the first derivative of 2*n**2 + 0*n + 0*n**5 + 3 + 1\/3*n**6 + t*n**4 + 0*n**3. Find the second derivative of u(x) wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0.4, -3, -21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12557, 25095, 37697, 50393, 63213, 76187, 89345?\nAnswer: 102717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3 + 0 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -132*-0.4\nAnswer: 52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1526 (b) 8\/15 (c) -0.5 (d) -0.1 (e) -3 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, g: 5, c: 2}. What is prob of picking 1 g, 2 c, and 1 y?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(6\/2)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188 or 1682?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4638 and 3898039566.\nAnswer: 4638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020903161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8118 divided by 2\nAnswer: -4059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -88 (b) 4 (c) 3\/2 (d) 1.3 (e) -2\/3 (f) -272\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m + 18208 = 23271 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -12*p**2 + 2*p - 16. Give v(3).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-3\/2))\/m**(-1\/5))\/(m**(-2\/5)\/m*m)**38)\/(((m**(-3\/7)*m*m)\/m)\/((m**6\/m)\/m)*m\/m**(2\/5)*m**(-3)) assuming m is positive.\nAnswer: m**(1451\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5 + -3. What is the second smallest value in 2\/3, v, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*m, 3*g + 4*m + 71 = 2*m. Let q = 47 + g. Suppose 0*w - q = -w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1cee0 - -b?\nAnswer: -1ced4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*v - 23731 - 36128 = -828*v - 15444 for v.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3\/5, 7, -22.02, 5 in decreasing order.\nAnswer: 15, 7, 5, 3\/5, -22.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(72)*-5 - (sqrt(72)*2 + 0 - (1 + sqrt(72)*-1 + sqrt(72))))*6)**2.\nAnswer: -18144*sqrt(2) + 4572324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 3*h - 12 = -3*i, -3*i + 2*h = -8. Suppose i*o + o + 48 = 3*u, 0 = -4*o. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 269*q**2 - 5842*q + 5842*q + 0 - 2*q**3 as m*q + w + p*q**3 + y*q**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*m - 15, 13 - 4 = -3*m. Solve a = x - 7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2. Let f(p) = -p**2. Let v(t) = -6*f(t) - x(t). Let h(k) be the second derivative of 11*k**3\/2 - 76*k - 59. Determine v(h(z)).\nAnswer: 1089*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o + 55. Let v be y(10). Suppose 5*l - 3*r + 9 = 8*l, 3*r = -5*l + v. Solve -4*k = -l*x + 5, -k - 3*k - 4*x - 12 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1387.\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*o - 11, 2*w - 8 = -w + o. Suppose -w*l + 594 + 849 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -590 divided by 37712\nAnswer: -295\/18856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13964917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -900, -2039, -3182, -4329, -5480?\nAnswer: -6635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -296 - -300. Suppose -d + 192 = 3*d + 2*q, 4*q = -p*d + 188. Calculate the least common multiple of d and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 2, 14\/3, 5 in descending order.\nAnswer: 5, 14\/3, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4009180 and 150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4627251 > 4627253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -22 + 23 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*o - 15 = 65*o + 2*v, -18*o + v = -25*o - 2*v - 39 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 18. Let k be i(-14). Let c = 0 + k. Let d be (-5 - (-5 - 6))*7\/(-14). Put d, c, 8 in descending order.\nAnswer: 8, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, d: 3, f: 3, j: 1, g: 1}. Give prob of sequence dofo.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -645.7 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 16*m**2 - 2*m - 28. Let k be j(-16). Let p(h) be the first derivative of -5\/2*h**2 + k*h + 1. What is the first derivative of p(o) wrt o?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*a**2 - 86*a**2 - 91*a**2.\nAnswer: -233*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -41\nAnswer: -20\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = 7*z + 160. Let s(x) = 3*x**3 + 25*x**2 + 7*x - 8. Let y be s(z). Solve -3*g + 6*g - 6 = y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -1 - (-26)\/1. Calculate the highest common divisor of 10 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649423 is divided by 43287.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.09 + 2.14. What is y rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*v + 37, v - 36 + 105 = -21*l. Let z = 59 - 9. Calculate the lowest common multiple of z and v.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 + 5*s**2 + s**2 - s**2 + 2*s**2 + 0*s**2 - 2*s**2 + 3 - 3 + (4*s - 4*s + 2*s)*(7*s - 7*s + 11*s).\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) -2\/5 (c) 12.5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-265)\/(-300) - 2\/15.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 216\/13, -3, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 578850.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-10))**(-22\/7)*z*z**(17\/6)\/z*z**(-23))**(-2\/73) assuming z is positive.\nAnswer: z**(-473\/1533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10191, -20409, -30627, -40845, -51063, -61281?\n\"Answer: -10218*o + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 51*c - 619. Determine q(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 966252?\nAnswer: 19\/966252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -7772753.\nAnswer: -1\/7772753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 11:46 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28933?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2 of a year in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1001, 628, 253, -124, -503, -884?\nAnswer: -1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 531 and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/4, -0.03, 1287, -8, -3\/8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 184 = 6*u. Let k = u + 113. What is the highest common divisor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -14*n**3\/3 - 13*n**2\/2 - 5*n. Is l(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/148)\/((-2)\/(-24))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-9))\/((-2)\/(-3)). What is the closest to 0.2 in -2\/13, -2\/7, x?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 15. Let n = r - 3. What is the remainder when (-76)\/(-16) - (-1)\/4 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**7\/105 - 24*i**6\/5 - 287*i**5\/30 - 462*i**2 - 6. Find g such that z(g) = 0.\nAnswer: -287, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 43 and 32 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 6*u - 4. Let a be q(5). Which is smaller: -1\/3 or a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-2 - 207\/(-61)). Let p = 157\/244 - k. What is the closest to 0.1 in p, -2\/17, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 1677. Let s(h) = -12603*h. What is s(l(g))?\nAnswer: 37809*g + 21135231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 11:48 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y - 2491 = -2*v - 19*y, -y = 5*v - 6236. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**3)\/(t\/(t*t**(-4))))**(-25)\/((t**(-3)\/t**4)\/(t*t\/(t*(t*(t*t\/(t\/t**(-2\/9)))\/t)\/t*t))**(1\/7)) assuming t is positive.\nAnswer: t**(8318\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 144\/(-66) - 2\/(-11). Suppose 0 = -4*w - 5*x + 268, 7*w + 2*x - 335 = 2*w. Let c = -137\/2 + w. Is y equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 4:59 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 2, t: 1, h: 1, g: 2, u: 1}. What is prob of picking 1 u and 2 c?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 893*j - 893. What is q(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) 3 (b) 0.821 (c) -2\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find f such that 0*f + 0 + 1\/2*f**2 + 1\/2*f**4 - f**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/5, -1, -0.5, 2\/9, 1993\/7, 1 in decreasing order.\nAnswer: 1993\/7, 1, 2\/9, -0.5, -1, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346653 divided by 43.\nAnswer: 346653\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23006322 (base 9) to base 12\nAnswer: -38a5202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -55*t**4\/6 + 9*t**2\/2 - 583*t + 1. Let c(p) = -p**2. Give c(n(q)).\nAnswer: -12100*q**4 + 1980*q**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 - 1172*t**2 - 12*t + 42192.\nAnswer: (t - 3516)*(t - 6)*(t + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 10:25 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4183374 is divided by 2385.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*g + 71*g - 3572 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-3))\/(14\/((-378)\/(-9)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6 + 4 + 3 - y. List the prime factors of i(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-51))\/((-6)\/(-10) + 14\/(-90))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 15*l**2 - 73*l - 314. Let u be p(-11). Put u, -582, 3 in descending order.\nAnswer: u, 3, -582","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + c - 3. Suppose 0 = -2*u - 4*p, -2*p - 7 - 1 = 0. Let g(s) = -32*s + 10*s**2 + 33*s - u*s**2. Calculate g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-153)*-6*(-42)\/(-84)?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*c - 692 = 1385 + 2356 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7*a = -2*a - 25, -3*k = -a + 89. Find the common denominator of 76\/k*(-2 + 0) and 40\/(-126)*(-140)\/30.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 102037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**3 + 1201*h**2 - 6325*h + 1975 = 0.\nAnswer: 1\/3, 5, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 444\/16 - 3\/4. Let d be (-7)\/(-5) + u\/45. Let g(l) be the third derivative of -l**4\/12 + l**3\/6 - l**2. Give g(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u. Let l(w) = 791*w**2. Give r(l(j)).\nAnswer: 2373*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -5*v**4\/8 + 5*v**2 + 2*v + 87. Let s(g) be the third derivative of g**5\/15 + g**2. Determine o(s(k)).\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k. Let w be x(2). Suppose -5*f + w*u + 20 = 0, f - u = 4*u + 4. Suppose -7*c = -f*c - 273. List the prime factors of c.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 809\/18 + -45. Suppose -z - 8 = 4*r, 2*z + 65*r - 12 = 71*r. Are p and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 40*k**2 + 60*k - 274. Calculate the least common multiple of o(21) and 32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 3*q + 11. Let c be (4\/(-8))\/(1\/(-2)). Calculate the smallest common multiple of ((-8)\/(-6))\/(c\/18) and u(3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*p - 13 = 0, 26 = 3*n + n - 3*p. Suppose n*u - 47 = 63. Calculate the smallest common multiple of 18 and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 - 9*h**2 - 3*h + 35. List the prime factors of p(-6).\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + 0*t**2 + 1761 - 2*t**3 - 1446 as r*t + m*t**2 + n*t**3 + j and give j.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1732 times 42745\nAnswer: 74034340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o + 116 - 92*o - 62 - 54.\nAnswer: -71*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 836500 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/15*((-10850)\/160)\/35 and -151\/144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*x - 2*x**2 - 77*x + 10715 + 42*x - 21437 + 10722.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 619501 times -0.4\nAnswer: -247800.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 1, -11*j + 41143 = -8*j - a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 93*b**7\/7 + b**5\/5 + 345*b**3 - 60. Find the third derivative of n(q) wrt q.\nAnswer: 11160*q**3 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68648219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -236\/7*h - 2\/7*h**2 - 1130\/7.\nAnswer: -2*(h + 5)*(h + 113)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 2*h + 42, -4*g + 2*h + 44 = 6*h. Solve 21 = b - 5*v, 0 = -2*b + 4*b + 3*v + g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 241. Suppose 5*s - t = 2*s. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 15. Let y be s(-5). Solve -2*d - y = -7*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.308 * 1.\nAnswer: -0.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168 is divided by 236?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*a - 17. Solve 0 = -a*x + 3*m - m - 4, 4*x - 2 = 5*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -597 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a hour in seconds?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1094979192 - 0.9\nAnswer: 1094979191.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u + 75*u**2 + 2*u**4 - 1252 + 0*u**4 - 36*u**2 - 41*u**2 + 589 as v*u**3 + y*u**2 + g + b*u + m*u**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154867091 to the nearest integer?\nAnswer: 12445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3404, 6552, 9708, 12872, 16044, 19224?\n\"Answer: 4*o**2 + 3136*o + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 + 324026310.\nAnswer: 324026310.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 2952\/336)*2*14\/(-99).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, -3, -5, -2, -104 in descending order.\nAnswer: 63, -2, -3, -5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 113.8234 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 8. Let l be (3 - 5)*1\/y. Let g(q) = 2*q + 5 - l - 4. Let r(z) = -11*z**2. Give r(g(m)).\nAnswer: -44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(1469\/182 + 2 + -9).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 970*0.022.\nAnswer: 21.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 8*w**2 - 3*w + 18. Let c be j(-8). Suppose 17*s = 20*s - c. Solve -m = 3*n - s, -m + 0 = -n + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (sqrt(704) - (1*sqrt(704) - sqrt(704)))) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09356 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76454858 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-18))\/((-2)\/93). Let g = p - 35. Is (3810\/8)\/(-5)*g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99202645?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 - 9*i**2 - 7*i - 1. Determine q(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14673172 is divided by 669.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -363686 divided by -94\nAnswer: 3869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (1 + 124 + (-21 - 19 - -31))\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -94. Let f = u - 32. Let n = f - 18.99992. Round n to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169924 divided by 42481\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 624 and 663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, -2, 0 in increasing order.\nAnswer: -14, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*o, -5*w + 3*o - 5 = -15. Which is the closest to 2\/5? (a) w (b) -0.4 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19038, 19214, 19492, 19866, 20330, 20878, 21504, 22202?\n\"Answer: -h**3 + 57*h**2 + 12*h + 18970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.9 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2370866?\nAnswer: 2, 29, 41, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, -2 in descending order.\nAnswer: 4, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3288228, 6576444, 9864658, 13152870, 16441080, 19729288, 23017494?\n\"Answer: -y**2 + 3288219*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7455520.357 - 20.\nAnswer: -7455540.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 555 + -471. Which is greater: 86 or j?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 860 = -5*f, 367 = f + f - 3*j. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34953194?\nAnswer: 2, 127, 241, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38\/(-2 + 1 + 2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7789 times -1?\nAnswer: -3.7789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/(((v*v*v*(v\/(v\/v**(-1\/4)))\/v*v*v)\/v)\/v))**(-2\/21) assuming v is positive.\nAnswer: v**(-1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (196\/(-42))\/((-4)\/12 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k. Let a(j) = 752*j**2. Determine a(t(g)).\nAnswer: 6768*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 452736 and 411.\nAnswer: 62024832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cckkcuccukuuckcu. What is prob of picking 1 k and 1 c?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 251316537 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13951.\nAnswer: 7, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -11. Which is the closest to 0? (a) -3\/7 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(4200\/(-14)))\/(8\/(-10)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -25963\nAnswer: -1817.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 11:08 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30.99999916 + -31. What is g rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - n - 9, -5*n + 5 = 2*p + 22. Suppose -4*r + 6*r - 1 = 3*b, -5*r + 6 = -p*b. Let w = -767 - -773. What is the greatest common divisor of w and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*g + 16 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 46 = -3*k, o - 8 = k - 3*o. Let v(l) = 3*l**2 + l. What is the remainder when k is divided by v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -125.6, -2\/19, -1.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51931?\nAnswer: 11, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 = 295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2627115006?\nAnswer: 2, 3, 437852501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -7. Suppose -23 = -f*x - 5*g, -2*g - 2 = -6*x + 2*x. Let k = 32 + -23. Solve -x*l - k = -1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let o be b(2). Suppose h + 0*f = -o*f + 11, -h + 2*f - 9 = 0. Let s(p) = 2*p + 3. Let z(c) = -c + 1. Let d(j) = s(j) - 3*z(j). Calculate d(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 10 + 0)*(9*f - 4*f + 6*f)*(-5 + 5 + 5) to the form k*f + u and give k.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 14 = -4*i - 38, -3*i - 2*i + 7*m = 42 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -860?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/21935830 and -64\/2014515?\nAnswer: 197422470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -134896 divided by 4\nAnswer: -33724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 14*u**2 - 75*u + 21. What is i(18)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 21385 = 8*z. Suppose -21270 = -5*s - z. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -736, -1475, -2214?\n\"Answer: -739*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1965, -1872, -1779?\n\"Answer: 93*w - 2058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47670608 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2421 and -26\/19624895.\nAnswer: 176624055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l - 0*l. Let n(q) = -q + 4. Let j be n(l). Solve -2 + 3 = 4*t - 5*m, 0 = -j*t - 3*m + 25 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*g**2 - 101*g**2 + 330*g**2 - 132*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67032, 67042, 67056, 67074, 67096, 67122?\nAnswer: 67152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {s: 12, t: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 10*t - 10. Let o = 10 + -14. Let j be o\/((-7 + 3)\/4). Is c(j) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1237815 * 9\nAnswer: -11140335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/8 - (-1651)\/52. Let k = q + -22. Calculate the lowest common multiple of k and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycbcgggcbbbcggggggcb. Give prob of picking 1 c and 1 b.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 + 374*u**3 + 375*u**2.\nAnswer: -u**2*(u - 375)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 = -4*m. Let s = 23 + m. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4303 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -388, -782, -1186, -1600, -2024, -2458, -2902?\n\"Answer: -5*r**2 - 379*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73 and 21535.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 363748*n*u**2 + n*u + n + 113*u**2 - 101794*u + 11 wrt u.\nAnswer: 727496*n + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 943968, 1887848, 2831730, 3775614, 4719500, 5663388, 6607278?\n\"Answer: v**2 + 943877*v + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*k**4 + 155*k - 155*k)*(5 - 3 - 3)*(-k + 3 - 3).\nAnswer: -14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*u**3 + 20*u + 30*u**3 - u**4 - 49*u - 3*u**2 - 71 + 29*u to q*u**3 + o*u**2 + s + n*u + w*u**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11*f**3 + 21*f**2 - 21*f. Let l(c) be the second derivative of -c**5\/4 + 5*c**4\/6 - 5*c**3\/3 - 3*c. Let u(x) = -6*h(x) + 13*l(x). Calculate u(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1335 and 3120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 22 (c) 4 (d) -11\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*j - 47. Let x(m) = m**3 + 9*m**2 + 6*m - 7. Let o be x(j). What is the units digit of (o\/(-3))\/3*-64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 388, 4, -2\/13, -5 in descending order.\nAnswer: 388, 4, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*l - 656, 4*l - 4*q - 680 = 200. Is 217 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (-6)\/9 + (-105)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l - 132898 = -150*l - 8545. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 41, 132, 283, 494, 765, 1096, 1487?\n\"Answer: 30*h**2 + h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84575*s**3 + 2*s + 223602 wrt s.\nAnswer: -253725*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.54\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -46\/47, 0.09, 0, -1\/2, -22?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*w = 14, 12 = 3*r + 17*w - 20*w. Let b(k) = 0*k**2 + 2 + 0*k + k - 1 - k**2. Let h(l) = -24*l**2 + 22*l + 22. What is r*h(o) - 44*b(o)?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**3 + 11*t**2 + 11*t + 11. Let o(y) = y**3 + 0*y**3 + 5 - 3*y**2 - 2*y - 8 - y. Suppose -182*b = -184*b - 44. Give b*o(u) - 6*z(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c8 (base 15) in base 4?\nAnswer: 12131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4622786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 13, -4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (60\/10)\/(21\/(9\/(-3)))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 - 0\/(7 - 0) - 3. Put s, 3, -5, 28, -1 in descending order.\nAnswer: 28, s, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 102\/90 + 8\/(-6). What is the nearest to n in -1, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**4\/2 - 7*f**2\/2 - 2*f. Let h(q) = -q**2 + 1. Let d(i) = 2*a(i) + 14*h(i). Let o(p) = 2*p - 4*p + 0*p. What is d(o(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -4\/5*q + 2\/5*q**2 - 1\/15*q**3 - 6. Factor p(l).\nAnswer: -(l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 393\/131*6\/(90\/(-25))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7836 - 4273. What are the prime factors of t?\nAnswer: 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3366 - 1201. List the prime factors of a.\nAnswer: 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120 + 120 + 44*d**3 + (-2 - d + 2)*(-d**2 + 3*d**2 - d**2) + d**3 + 1 + 1 - 5*d**3 to the form q*d**2 + v*d + z + b*d**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8124766 micrometers in nanometers?\nAnswer: 812.4766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q**3 - 2*q**2 + 6*q - 3. Suppose 10*n = -3*g + 9*n + 7, 5*g - 25 = -5*n. Give s(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.309118\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599437267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 723, 1010, 1297, 1584, 1871, 2158?\n\"Answer: 287*f + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 + -0.2. What is the third smallest value in -0.4, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*s - 44*s - 46*s = -g + 16, -7*g = 4*s + 14 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.4296 to 2 dps.\nAnswer: 8.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = -317*p + 300*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 7*t + 25300000. Round t to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 - 5*h - 7. Let v(d) = d**2 - 3 + 6 - 2 + 2*d + 2. Let k(u) = u - 2. Let n be k(4). Let l(p) = n*z(p) + 5*v(p). Differentiate l(b) wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 3:47 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*y - 85*y = -155*y + 168 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 108.\nAnswer: -11\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 f, and 1 y when three letters picked without replacement from syfvfyvyvyfy.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f**(-31)\/f)*f))\/(f**(-1\/2)*f) assuming f is positive.\nAnswer: f**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1003832925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 13*o - 3*s = -29, o = 4*s + 42. Let x = 25 - o. Sort -4, x, -15 in ascending order.\nAnswer: -15, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/w**(-8\/11))*w**(-24)*w**(2\/7)*w*w**(-5\/3) assuming w is positive.\nAnswer: w**(-5800\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -13*q**6\/40 + 2*q**5\/15 - q**3\/3 - 15*q**2. Find the third derivative of w(d) wrt d.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2081\/262 and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**3 + k - 1 - 2457*k**2 + 2457*k**2 in the form o*k**3 + v*k + y + u*k**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 26. Let h = -5 + p. Let o = h - 6.00003. What is o rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -901, 48, -2.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fppppppppppppppppppp. Give prob of picking 3 p and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(2057))**2*1 - (sqrt(2057) + (1*sqrt(2057) + -5)**2 - -1*(sqrt(2057) - (-1 + sqrt(2057) - sqrt(2057)) - sqrt(2057))))*-3.\nAnswer: -231*sqrt(17) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (3 - (4 + (-3 - -11)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1553 + 3128. Are 1574 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 12. Let d be l(6). Suppose 2*v + 0*v - 34 = d. Sort v, -2, 4.\nAnswer: -2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 855063595?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10309 and 1521?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -3\/14 (c) -1\/5 (d) -7.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*w + 19. Let m(z) be the first derivative of z**3 + z**2\/2 - 2*z + 1. Is 12 a factor of m(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + (2\/((-24)\/(-63)))\/(22554\/51552).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**2 + 3*p**2 + 2*p**2)*(-1096 + 1096 - 38*p**3).\nAnswer: 38*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12281 is divided by 208.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27850 + -34658. Is b less than -6806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 4)*(0 + 5 - 3)*(0 + 1 - 3)*(2*c + c + c) to the form l + y*c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.3 - -6.348. What is z rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 1 + 2. Let y be 4\/j*54\/(-24). What is the second derivative of -y*z - 27*z**4 - 5*z + 4*z + 19*z**4 wrt z?\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/7 + 278*t**2\/7 + 1168*t\/7 - 3432\/7 = 0. What is t?\nAnswer: -6, 2, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 a when four letters picked without replacement from {s: 6, a: 2, g: 5}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12718782 and 324?\nAnswer: 25437564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 223 + 2344 = 3*u, u - t - 859 = 0. Let p = u - 468. Suppose v + p = 6*v + 2*i, -3*i + 6 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:03 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 14?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 2*s**2 + 7*s - 7. Let p(v) = -v**2 + 13*v - 9. Let t be p(13). Is y(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 1382 = 36*h + 962 + 737 for h.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -13*v**4 + 3*v**3 - 3*v - 26. Let f(m) = m**4 + m**3 - m + 1. Let q(b) = -3*f(b) + h(b). Find the first derivative of q(g) wrt g.\nAnswer: -64*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + r**2 + 11. Suppose 2*c = 6*c. Let k = 76 - 35. What is the remainder when k is divided by h(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 19*x**2 + 14430*x - 14443. Give r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**5\/120 + p**3\/3 - 4*p**2. Let z(d) be the first derivative of r(d). Let c(b) = -2*b**2 - 2 + 2 + 0. What is c(z(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 106481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 175*r = -8*r - 3112 - 4568 for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 7. Let p be k(-6). Let j be (p\/3)\/(10\/15). Let g be (-38)\/(-95) + (-9)\/35. Is j at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25.97715kg?\nAnswer: 25977150000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 58 - ((-285 - -50) + 187)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by -6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**5\/5 - s**2\/2 + s + 5. Let x(l) = -9*l**4 + 4*l - 2. Let g(r) = -4*q(r) - x(r). Find the first derivative of g(j) wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3215875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 605*n + 32 - 8 + 3*n**3 - 605*n - 4*n**3. Calculate j(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6269971 (base 10) in base 13?\nAnswer: 13b6b56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*p**2 - 3)*(-3*p + 0 + 0) - 5*p**3 + p**3 + 0*p**3 to the form q*p**2 + s*p**3 + l*p + c and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 515206276 a multiple of 2372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4509*l - 6045 + 6045.\nAnswer: 4509*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 1\/3, 150, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 19*m - 29. Determine y(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -111221200011101?\nAnswer: -111221200011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/1 - 2\/((-200)\/68245). Let p = -686 + x. What is the common denominator of 302\/24 + (-2)\/3 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*i**3 - 22*i**3 - 31*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 10525 - 110068 = -19793. Is 50 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-34)\/(f*f**18)*f\/((f*f\/(f**(-37)\/f)*f)\/f)*f*(f\/(f\/(f\/(f*f**(2\/57)))*f))\/f assuming f is positive.\nAnswer: f**(-5303\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.2. Let h = 5 + -1. Let f be ((-1)\/(-6))\/(5\/(-4)). What is the closest to c in f, 2\/7, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.14 - -10.14. Let w = u - 10. Which is the closest to 0? (a) -2 (b) w (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1005*i - 26197. What is w(-26)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 1, x: 1, v: 1, a: 1}. What is prob of picking 1 f, 1 v, and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058 a factor of 625565292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 + 6.4649?\nAnswer: 6.4249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 - 897*n**2 + 13776*n - 54336 = 0. Calculate n.\nAnswer: 8, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.021 + -17.\nAnswer: -16.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 78\/(-36) + (5\/6)\/5. Let p(i) be the first derivative of -4*i**3\/3 - i - 9. Determine p(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 11) to base 16\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from {o: 2, l: 3, u: 6, h: 1, k: 4}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**3 - n - 2. Suppose 25 = -5*w, o + 0*o - 4*w = 22. Does 19 divide c(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u. Let g(b) = -41*b. Give g(w(z)).\nAnswer: 287*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 623*z**6\/10 - 446*z**4\/3 - 3215*z. Find the third derivative of d(l) wrt l.\nAnswer: 44856*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -94349, -188363, -282379, -376397, -470417, -564439?\n\"Answer: -d**2 - 94011*d - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4318*b + 4715*b - 19056 = 0 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15c (base 14) to base 13\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2770.257927 rounded to the nearest ten?\nAnswer: -2770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71.8 + 86. Let h = w + -15. Let s = 0.7 + h. Which is the smallest value? (a) s (b) 0 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4140\/(-2758) - (-5)\/(20\/6). Let w = z + -71005\/12411. Calculate the common denominator of (-1 - 0) + 390\/(-48) and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 346*s + 28292. What is a(-86)?\nAnswer: -1464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 - 3. Suppose -3*l + 12 = -l. Suppose q - 4 - l = 0. Let r(u) = 7*u**2 - u + 7. Let a(g) = q*p(g) + 4*r(g). Factor a(w).\nAnswer: -2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 8*i + 6. Let n be d(-9). Calculate the remainder when n + (-1 - -1) + 8 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 12*p**2 - 186*p + 2217. Determine n(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -5, 4, -4, 5, 81, -38 in decreasing order.\nAnswer: 81, 13, 5, 4, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10279112*x**2 - 12402616*x wrt x?\nAnswer: 20558224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 240 = 4*i, 4*i - 7*i + 2*g = 180. Let f be (5\/(25\/4))\/((-24)\/i). Determine u so that 2\/7*u**5 + 0 + 4\/7*u**4 + 2\/7*u**3 + 0*u + 0*u**f = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571 (base 12) to base 16.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-3)*(-70)\/(22400\/192).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09 - -0.04. Let l = b - 0.63. What is the closest to 1 in l, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 320 + -577\/2. Let p = 32 - i. Let q = -0.3 + 0.1. Which is the biggest value? (a) p (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 49 = 4*d + 6*g, 4*d - 43 = -5*g. Suppose 3*t + 3*i = -3, 3*i = -t + i. What is the remainder when (34 + 0)*-1*t is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 15 = -20, -4*m - j + 35 = 0. What is the lowest common multiple of m and 55?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14210 - 1517. What are the prime factors of g?\nAnswer: 3, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 637, 1, -2 in descending order.\nAnswer: 637, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1945)\/420 - -4 - (-490)\/686 - (-1227)\/(-36).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0782 rounded to two decimal places?\nAnswer: -3.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**3 + 3*f + 2. Let r(p) be the first derivative of p**4\/4 - p**2\/2 + 19. Let d(t) = -2*r(t) - z(t). Determine d(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -608*d**3 - 91 + 40 + 49 - 2*d**2 to the form a*d + q + z*d**2 + o*d**3 and give o.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25122 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -39254242 divided by -19627121?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1796698*o*q**2*t - 130*o*q**2 - 2*o*t + q**2 + 660*q wrt t?\nAnswer: -1796698*o*q**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -62*l + 468. Calculate c(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -39.2 (b) 1\/3 (c) 49 (d) 4\/7 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -82 - -8915577\nAnswer: 8915495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and (-74)\/(-10) + (-9)\/(-15)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*((-117)\/91)\/9*1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27033 + 27095 - (85 + 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*b**2 + 0)*(-659 + 659 - 350*b) - 2*b**3 + 2*b - 2*b.\nAnswer: -702*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276 divided by -145.\nAnswer: 276\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(r*r*r\/r**1*r)*r*r)\/r*r))\/r*r)\/(r\/r**6*r)*(r*r**(-3)\/r)\/(r**(3\/2)*r) assuming r is positive.\nAnswer: 1\/sqrt(r)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13846364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - u**2 + 3*u + 1. Let b(q) = -q**3 + q**2 + 1. Let z(t) = b(t) - o(t). Let d be z(-3). Let a = -244\/9 - -27. Which is smaller: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-9)\/2)*18*1. Let f be (8\/i)\/((-6)\/(-9)) - -5. Suppose -4*k = p - 137, 0 = -4*p + f - 18. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-22)\/4)\/(5\/(-50)).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -87*p - 7. Let x(c) = -c**3 + 27*c**2 - 50*c + 7. Let o be x(25). Let j(i) = 29*i + 2. Calculate o*j(d) + 2*m(d).\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146 + 91. Is 22956\/9 + (4 - g\/(-15)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1092, 1090, 1086, 1080, 1072?\n\"Answer: -x**2 + x + 1092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**2\/4 + 54855*s + 219425\/4 = 0.\nAnswer: -1, 43885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -985*r - 9789. List the prime factors of i(-52).\nAnswer: 13, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230131348 - -1\nAnswer: 230131349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 126\/19, -2, 4\/5, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3, -0.1, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 11*r - 7. What is t(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 117.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 770705771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51891853 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoo when three letters picked without replacement from {h: 5, o: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + (-5 + sqrt(288) + -1 + sqrt(288) - (sqrt(288) + -5*(sqrt(288) + 1) + sqrt(288)))**2)*1.\nAnswer: -120*sqrt(2) + 7198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -37 + 4*k**2 + 37. Let s(t) = -22*t. Calculate p(s(u)).\nAnswer: 1936*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9795 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmzbbbbmbmzmbbzmbz. What is prob of picking 1 m and 1 b?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 270 + -11018?\nAnswer: -10968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/15*(13 + 2). Suppose -19*l + 2*t = -s*l + 1713, -l = 5*t - 1707. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33607072?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1502603425 - 10?\nAnswer: -1502603435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 456 + -452. Find the third derivative of 23 - 9*t**l - 14*t**2 + 9*t**4 + 17*t**2 + 238*t**6 - 5 wrt t.\nAnswer: 28560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15151 divided by 1?\nAnswer: 15151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.5, -0.3, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1922?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -17*m - 41. Determine b(9).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 308*f**3 - 942*f**2 + 2804*f - 1555.\nAnswer: (f - 311)*(f - 1)**2*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 bigger than -2890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -995 + 1002. Let n be o\/(14\/24)*72\/540. Find q such that n*q + 6\/5*q**2 - 1\/5*q**4 + 3\/5 + 0*q**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18316\/19*1\/(-2). Let z = j - -682. What is the greatest common factor of 120 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 520 and 522 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 15*t**3 + 11*t**2 + 9*t + 55. Let o(f) = 8*f**3 + 6*f**2 + 5*f + 28. Calculate -6*n(q) + 11*o(q).\nAnswer: -2*q**3 + q - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -522.05307 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -20322\/5*m**4 - 89304\/5 - 162\/5*m**5 - 836432\/5*m - 671102\/5*m**3 - 420734*m**2 = 0. What is m?\nAnswer: -61, -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l - 204. Let f be y(40). Let z(r) = 26*r - 47. Let q be z(2). Sort f, q, -6.\nAnswer: -6, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.026? (a) 2 (b) 3 (c) -5 (d) 8\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49552 and 92910.\nAnswer: 743280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 16) to base 3\nAnswer: 10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 2*d + 2*d)*(-3*d + d + 3*d) + 2*d**2 - 4*d + 4*d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.067.\nAnswer: -0.0268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((9 + 9)*-12)\/((-2)\/3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 12 = 2*q, 6 = -5*p - 5*q - 4. Let b be p\/(16\/(-6))*-2. Let r = b + 8. Solve -r*s - 8 = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35850*o**2 - 35850*o**2 - 1547*o**3 - 3*o**3 - 2*o**3 + 3*o**3 + (3 - 3 - 2*o**3)*(-2 - 1 + 1) - 1 + 1 - o**3.\nAnswer: -1546*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238567571?\nAnswer: 11, 491, 44171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/11396 and -149\/179376.\nAnswer: 13811952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/(-52))\/((-1)\/(-1)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33121643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 12 + 0*m**3 - m - m - 9*m**2 - 7*m**3 + 8*m**3. Let x be a(8). What are the prime factors of (-1)\/6 + x\/24 + 48?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -5*w + 9*w. Which is the fourth smallest value? (a) -0.8 (b) w (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 569184 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -299*k**4 - 6*k**3 + 57*k**2 - 32681013*k?\nAnswer: -3588*k**2 - 36*k + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, -1, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 >= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1366211 (base 7) to base 16\nAnswer: -2d140","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round 65.499283 to 2 dps.\nAnswer: 65.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234579.\nAnswer: 3, 78193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -28. Which is the closest to 0.1? (a) 6 (b) x (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 12*b + 10*b - 44 = 0, 2*j - 8734*b - 6 = -8737*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -464 - -289. Let c = 250 + a. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 5170*w + 97868. Determine t(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2 - 14404*d - 22933152 = 0.\nAnswer: -4826, -2376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.5633 years in decades?\nAnswer: 16.85633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51279.507 nanoseconds to days.\nAnswer: 0.0000000005935128125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94 + -109 + -12 + -100?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, 0.11, 1\/9, 23, 2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d1b903 (base 14) in base 9?\nAnswer: 30408835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1896889.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 1 - 7. Let y be 11 + ((-12)\/3)\/n. Suppose -l + y - 5 = 0. Calculate the smallest common multiple of l and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17.64 (b) 0.08 (c) -389\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20737757, -41475516, -62213275, -82951034, -103688793, -124426552?\nAnswer: -145164311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-6 - -6) + -5) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/(m*m\/(m*m\/m**(-1)*m))*m**3*m**(2\/9))\/((m\/(m*m**1\/m))**(-9\/7)\/(m**(-2)\/(m*m*(m\/m**(2\/13)*m)\/m*m))) assuming m is positive.\nAnswer: m**(-73\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10804 and 740?\nAnswer: 54020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -35, -2\/45, -60.8, 3.\nAnswer: -60.8, -35, -2\/45, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w = 0. Suppose w = 2*h - 234 - 1508. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40907924 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 10. Let h(j) = -j**3 - 5*j**2 - 5*j. Let n(q) = -q - 13. Let b be n(-9). Let p be h(b). Sort -2, k, p in ascending order.\nAnswer: k, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*k**3 - 10*k**3 - 24*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(156) - ((sqrt(156) + sqrt(156)*-2 - sqrt(156)) + sqrt(156))*-5)*6)\/((sqrt(12) - sqrt(432)*-1) + (sqrt(12) - (sqrt(48) + sqrt(12))*3)).\nAnswer: -120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 18. Suppose z*y - 246 = a, -a = 3*y + 2*a - 144. Let j = 19 - 6. What is the remainder when y is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 154025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131 - 82. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = 371 - 329 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1001111?\nAnswer: -1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 409081.7 nanometers to centimeters.\nAnswer: 0.04090817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 + 81. Let o(t) = 47*t + 29. What are the prime factors of o(f)?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180008790 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59014722 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364\/(-728)*2\/9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2 - 7*l + l**3 + 36*l**2 + 32*l**2 - 71*l**2. Let z be o(5). Suppose w + 14 = i + 6, 0 = -4*i + w + z. Solve -2*b + i = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 298\/5. What is the biggest value in 13, -3, v, 4\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2421087805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - x - 17. Let b be o(0). Let h = 92 + b. What is the highest common factor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 352 and 64.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -14 - (-36 + 45)) + 31 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 7*p**4\/12 + p**2 - 3*p. Is c(2) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.059538333*-4\nAnswer: 0.238153332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a centimeter in micrometers?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**4 + q**3 - 37635*q**2 + 2847483*q - 5544450 = 0.\nAnswer: -225, 2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-171)\/(-15) - 30\/(-50). What is the highest common factor of b and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.08349088 to four decimal places.\nAnswer: -2.0835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*36*7\/28*(-9)\/(-45).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -98, -193, -290, -389, -490?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2980*v + 1063*v + 257408 = 386*v + 1719*v for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 + 995007.\nAnswer: 995024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4479, 8965, 13455, 17949?\n\"Answer: 2*s**2 + 4480*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -333, -336, -341, -348, -357, -368?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 7:18 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 13*t**2 - 190934*t + 190920.\nAnswer: (t - 430)*(t - 1)*(t + 444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*k - z - 5, 3*z = 2*k + 33. Let j(f) = 11 - 4*f - f + f - f**2 - 5*f. Give j(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + sqrt(242)*-2*-1)*2.\nAnswer: 10 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -56) + -14 + (-68)\/(-85)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32486480?\nAnswer: 2, 5, 13, 31237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 625201*t**2 + 312482*t**2 + t**3 + 312719*t**2 + 3*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2533465 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 3*q**2 + 2*q - 2. Let k be b(3). Let a(i) = i**3 - 4*i**2 + 4*i + 4. Is 10 a factor of a(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 14*o + 59. Let z be k(-27). Suppose -z + 93 = -4*r - 5*f, 0 = -r + 5*f + 73. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*t = -0*m - 21, m - 20 = -5*t. Suppose 1206 = -2*w + 5*w + b, -2*w + m*b + 821 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.10389 + -14660.49611. Round c to the nearest 100.\nAnswer: -14700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 8*w**3 + 4*w**2 + 8*w + 12. Let x(r) = -7*r**3 - 5*r**2 - 9*r - 11. Let z(y) = 5*n(y) + 6*x(y). Factor z(v).\nAnswer: -2*(v + 1)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*s + 18. Sort s, 2, -2, 0 in descending order.\nAnswer: 2, 0, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 - 83*l - 484. What is a(-21)?\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -246.7 rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 9*j + 9. Let o be g(8). Suppose -c + h = -o, -h + 0 + 3 = 0. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpdppddpdddddpddpdd. What is prob of picking 2 d?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30741828697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (30\/(-8))\/((-7)\/56)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61297 + 61334.049. Let p = -49 - -86. Let h = p - u. What is h rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a**4*g + 4*a**4 - 299*a**2*g wrt a.\nAnswer: 144*a*g + 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 - (196\/6 - 1)*-3 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 36 + 3882*m**3.\nAnswer: 3882*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900239 is divided by 39137.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*j**2 + 88*j**2 + 87*j**2 - 255*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 1. Let v(q) = -8*q - 4. Let j be v(u). Suppose 9 + j = x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 14 = w, 4*h + 2*w - 1 = -15. List the prime factors of 6 + 3\/h*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31093, -52506, -73919?\n\"Answer: -21413*p - 9680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 - 4*v**5 + 6*v**5 + (-v**3 + 5*v**3 - 3*v**3)*(0*v**2 + 5*v**2 - 3*v**2) + 0*v**2 - 6*v**2 + v**5 + 4*v**2 + 1508*v**2 - 70*v**5 - 1508*v**2.\nAnswer: -63*v**5 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -2 (c) -463\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-135))\/(63\/15)*18\/(-3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2544353 is divided by 37972.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491a3 (base 12) in base 7?\nAnswer: 560640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4, -2*q - 28117 = 9*j - 12*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 + -55. Let w(y) = -y**3 + 10*y**2 - 8*y. Calculate w(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -2\/7, 0.6, 3, 2\/5, 10 in decreasing order.\nAnswer: 10, 3, 0.6, 2\/5, -2\/7, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -14. Let r be g + -2 - 0\/2. Let z(a) be the second derivative of -a**4\/12 + a**3\/6 - 3*a**2 + a. What is z(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n**2 + 4*n + 4. Let h(p) be the first derivative of 5*p**3 + 9*p**2\/2 + 9*p + 40. What is 9*b(f) - 4*h(f)?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18829, 37652, 56475, 75298?\nAnswer: 94121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 12 + (13 + (-13 - 8) - -5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-204)\/18*(-6)\/2264. Let u = -29319\/5660 + g. Find the common denominator of u and (-12)\/(-3)*22\/(-16).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/27)\/((-14)\/((-1260)\/(-65)))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - -0.15043915.\nAnswer: 0.12043915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 129*y - 126*y - n - 5, -5*n - 11 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8721470*v**2. Let y(b) = 3*b. Calculate t(y(d)).\nAnswer: -78493230*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oogo when four letters picked without replacement from kogoorrkkrkkoorrkoo.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-8 + 14 + 4)*(-2*t**2 + 2*t**2 + t**3).\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21, -138, -449, -1050, -2037, -3506, -5553, -8274?\n\"Answer: -16*m**3 - m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((8 - 1) + -5)\/((-4)\/(-194)). Suppose 0 = 5*b + 3 + c. Let p be (5\/(125\/b))\/((-4)\/50). What is the greatest common divisor of p and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8*u = 114. Let i = u + -44. Let s(n) = -n - 1. Let k(c) = 6*c + 11. Let o(z) = -k(z) - 4*s(z). Give o(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 58?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -15305?\nAnswer: -15302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -273 - -821\/3. Determine d so that -4\/3*d - 2\/3*d**2 + i*d**4 + 4\/3*d**3 + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18926585 to the nearest integer?\nAnswer: 4350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.83 + 11.3. Let z = m + 0.13. Let n = z + 0.4. What is the closest to n in 1\/8, -4\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*y + 43, 0*p - p - y + 9 = 0. Solve -2 = -3*j + p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(x - 3*x - 4*x)*(x - 4*x + 0*x + 2*x - 2*x - 2*x + (-x + 0*x - x)*(6 - 4 - 1) + x + 3 - 3 + 28*x + 3*x - 75*x).\nAnswer: -600*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 12 = -5*z. Suppose 60 = z*h + x, 3*h - x = -0*x + 66. What is the remainder when h is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*y - 36 = 0, t = -3*y + 13 - 5. Is (2\/2)\/(t\/8107) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*r = 817 + 1558 + 209 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*y - 2, -2*d - 4*y = -y - 9. Suppose 352 = d*j - j. Let q(u) = 19*u**2 - 3*u - 2. Let g be q(-2). What is the greatest common factor of j and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdc when three letters picked without replacement from cccecesdcesdced?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 265 and 3956821?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 19614272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fugfggfgg. Give prob of picking 1 g and 1 f.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 21, 1\/11, -3\/7, 0.22, 8\/11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 335538980 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.29 - -0.89. Suppose -6 = o - 4*o. Let p be (-9)\/(-12)*o\/(-9). Which is the third biggest value? (a) p (b) 1.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 2*u**2 + (-2*u - 1 + 1)*(-3*u - u + 3*u) + 6*u**2 - 20*u + 20*u + (-u - 91 + 91)*(2 - 12 - 5 - 2*u) in the form j*u**2 + n*u + k and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -535705, -1071405, -1607099, -2142787?\n\"Answer: 3*s**2 - 535709*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 19 = 5*w - 0*d, 0 = -2*d - 4. Let z = -6 + -6. Let r = z - -11.96. Put r, w, 2\/13 in descending order.\nAnswer: w, 2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138504 divided by 4.\nAnswer: 34626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -414081653?\nAnswer: 414081649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1823*q**2 - 78389*q + 51. What is r(43)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**2 - 22*h + 22*h + (-3 + 7 - 3)*(-15*h**2 - 2*h**2 - 6*h**2) - 4 - h**2 + 4 in the form b*h**2 + c + p*h and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x + x - 320 = 0. Find the first derivative of x*u - 61 - 72 + 7*u**2 + 10*u**2 - 12*u**2 wrt u.\nAnswer: 10*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19 - -404 - (1 - 3). Calculate the highest common factor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - (36 - (89 - -30)))\/21.\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/13, -0.2, -5, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -216 + (-37464)\/(-168) - (2 + 1 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24870 divided by 4974\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2332, -2324, -2302, -2260, -2192?\nAnswer: -2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148.86 + -158.9. What is q rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75604525*o**3 + o**2 + 393535*o - 9?\nAnswer: 453627150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from aeeeeeeeeeeeq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/608 and -17\/596144.\nAnswer: 1192288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 0*j**3 + 0*j**3)*(5816 + 4005 - 363 - 1675 + 6553 - 1712).\nAnswer: -12624*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 195*g**2 + 1380*g - 449. Give t(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 7*l**2 - 6*l + 8. Let m be y(6). Let o be (-2)\/m - 72\/(-160). What is the second biggest value in -5, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, -269, -288, -9, 568, 1443?\nAnswer: 2616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(7\/(336\/(-12)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, z: 4, r: 2}. What is prob of sequence pr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 5*y + 2. Let b be r(5). Let i = -8.31 - -8.91. What is the second smallest value in i, b, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + h - 54. Let w = -13233 + 13393. What is the remainder when w is divided by h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - 4*j**3 + 0*j**3)*(2406*j**2 - 2332*j + 2332*j).\nAnswer: -4812*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 190967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 130?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 10.2. Let o = -1.4 - k. What is the smallest value in -2, -1\/2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 4*w - 4. Let r be s(5). What is the first derivative of 6*m**4 - 8*m**4 + r + m**4 wrt m?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 72612, 72605, 72596, 72585, 72572, 72557?\n\"Answer: -u**2 - 4*u + 72617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -259 - -261. Put v, -182, 3 in increasing order.\nAnswer: -182, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 615486 and 1406?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w**3\/5 - 3834*w**2\/5 + 8824*w - 51968\/5 = 0. What is w?\nAnswer: -224, 4\/3, 29\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 149 + (-11 - -2) - 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29818593 * -2\nAnswer: -59637186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.4, 0.5, 0.3, -10 in ascending order.\nAnswer: -10, -8, -0.4, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -377e3 (base 16) to base 7\nAnswer: -1634452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*o = 450, 3*a + o + 260 = -0*a. Let b = a + 89. Let q = 74 + -30. Calculate the highest common factor of q and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385127184 to the power of 1\/3, to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -254 + 56*g + 254 in the form b*g + l and give b.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/151 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*j - 353*j = 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2)**(1\/2)\/(t**(-1\/10)*t*t**(-7\/2)))\/((((t\/t**0)\/t)\/t**(-2\/3))\/(t**(-5)*t**(-2\/3))) assuming t is positive.\nAnswer: t**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31121913 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, b: 1}. Give prob of picking 1 f and 1 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(14\/(-8))*38. Let d = x + -22. Let j be (-24)\/(-231) - (-4)\/(-14). Which is the second smallest value? (a) j (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 5)*(0 + 0 - 5*q).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 19395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -369, -1219, -2895, -5679, -9853, -15699, -23499?\nAnswer: -33535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (7 - 12) - (-3 + 2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-4 - -7) + 3. Suppose -10*s - 6*s = 7*s. Is ((s - 711)\/3)\/k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -7 + 19. Suppose -2 = -o*r + 6*r, -4*d + 2*r + 34 = 0. Let b(a) = -a**2 + 10*a - 3. List the prime factors of b(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*d - 15*d - 9*d in the form g*d + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -38 + (84 - 7) - 29\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**5*x - 122*v**4 - 3*v**3*x**2 - v**2*x**2 - 2*v**2*x + v*x**2 - 9*v wrt v.\nAnswer: -120*v**2*x - 2928*v - 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 360, 4 in decreasing order.\nAnswer: 360, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -463778\/57 + 8136. Let m = n + -1682\/1311. Calculate the common denominator of m and -91\/4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*p**5 - 4*p**3 + 104*p**2.\nAnswer: 1560*p**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -588902*d**4 - 2*d**3 + 160276*d**2 wrt d.\nAnswer: -14133648*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1220, 271 in increasing order.\nAnswer: 6, 271, 1220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 7*g - 48. Calculate h(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 81, 178, 323, 522, 781, 1106?\n\"Answer: n**3 + 15*n**2 + 3*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6853678 divided by 7222.\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.29 (c) -1\/8 (d) -3\/4 (e) -1.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.2 and -229118960312?\nAnswer: 229118960313.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 42, 61, 78, 93, 106?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 93 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -411289*m**2 + 3758*m - 54.\nAnswer: -822578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14030 divided by 34?\nAnswer: -7015\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*z = 1088, 26 - 1114 = -2*q - 5*z. What is the greatest common factor of q and 864?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h**5\/5 - 26*h**4\/5 - 138*h**3\/5 + 36*h**2\/5 = 0.\nAnswer: -3, 0, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1 - -5) + -269 + 272\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58800266 to the nearest integer?\nAnswer: 7668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 435*f - 9558.\nAnswer: -3*(f + 27)*(f + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/(1\/(-10)). Let l = -183903\/5 + 36895. Let d = l + -114. What is the third biggest value in -1\/3, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38425 is divided by 3835?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l = 3. Let r = 4 - 1. Suppose -2*o - 5*y = 2*o + 33, -o - 27 = 5*y. Put r, o, l in increasing order.\nAnswer: o, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -100*i - 2. Let l(q) = 2*q - 19. What is l(r(o))?\nAnswer: -200*o - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031112204 (base 5) in base 14?\nAnswer: 416519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 21. Suppose 2*z - 4*z - 4*d - 20 = 0, -37 = c*z - 3*d. Let s(m) = -m**2 - 9*m + 8. Let p be s(z). What is the highest common factor of p and 160?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-3)\/(-108))\/(8\/90)*(-104)\/78.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5119 times 12.8?\nAnswer: -65523.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.5 (b) -12 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65.4913 and -0.09.\nAnswer: -5.894217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 21 = 6*l. Let q(c) = c**2 - 4*c - 1. Let f(z) = 2*z**2 - 5*z - 2. Calculate l*f(g) + 4*q(g).\nAnswer: -2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007997 rounded to 5 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3203 is divided by 757?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**4 + 2180*p**3 + 1284460*p**2 - 1290980*p - 2573256 = 0?\nAnswer: -357, -1, 2, 901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l. Suppose 4*u - 80 = -5*i - 11, -4*u + 59 = 3*i. Let a = -8 + u. Let v(x) = -3 - 2*x + x + a. Give b(v(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 4*v + 2. Let s(t) = -2*t**2 - 6*t - 3. Let f(i) = 3*p(i) + 2*s(i). Let o(d) = -17*d**2. Determine f(o(g)).\nAnswer: 578*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**5 + 30*x**4 + 27*x**3 - 39*x**2 + 11. Let t(g) = g**5 - g**3 + 3*g**2 - 1. Let q(n) = -22*t(n) - 2*u(n). Find j such that q(j) = 0.\nAnswer: -3, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, b: 3, w: 2}. What is prob of picking 2 b, 1 x, and 1 w?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35178 at least 6156257\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8610347807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 17*v - 26. Let o be a(-15). Solve -o*z + 3 = -13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -9*g - 24. Find the third derivative of -n**5 - 14*n**2 + 7*n + 87*n**g - 106*n**3 - 6*n wrt n.\nAnswer: -60*n**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1169*d + 1911*d - 154154 = 1386*d for d.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 290.4198kg?\nAnswer: 290419800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 412358?\nAnswer: -5\/412358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122472 and 411264.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*k + 30*k - 1380940. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2871057912 to the power of 1\/3, to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*b + b - 10*b + 11*b.\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 + 26*c + 13. Let j be b(9). Let n(q) = -q**2 + 10*q - 19. Let s be n(6). Put s, 6, j, 3 in descending order.\nAnswer: 6, s, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.44056 litres to millilitres.\nAnswer: 46440.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 728 divided by -182?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -37*o + 166*o - 33*o + 8 - 83*o - 28*o. Give g(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86510051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((12\/(-45))\/4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(3*i**3 - 6*i**3 + 2*i**3) - 632 + 632 + 10449*i**3 - 2421*i**3.\nAnswer: 8027*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 3*b + 7, -5*b + 33*j + 15 = 30*j for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -832 divided by -1.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 5*l - 5*j - 346, -l + 102 = 3*j. List the prime factors of l.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**6 - 2*x**3 + 5*x**2 - 2*x - 2. Let q(y) = -y**6 - y**3 - y - 1. Let t(z) = -k(z) + 2*q(z). What is the third derivative of t(s) wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00191995 rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 469 and 427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191130 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25232 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**3\/6 - 11*k**2\/2 - 16*k. Let d be g(14). Factor 0 + 2\/9*c**4 + 0*c + 2\/9*c**d + 0*c**2.\nAnswer: 2*c**3*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*r - 553 = 5*c + 226*r, -3*r - r = -5*c + 131 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 186, 653, 1402, 2421, 3698, 5221, 6978?\n\"Answer: -2*f**3 + 153*f**2 + 22*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1234582 kilometers?\nAnswer: 123458200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwcxepckcckpew. Give prob of sequence ee.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x - 207 = 0. Suppose x = -2*q + 5*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -467*q**6\/360 - 41*q**3\/3 - 191. Let o(b) be the third derivative of z(b). Let k(w) = w**2. Give o(k(s)).\nAnswer: -467*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -158*o**3 + 1420*o**2 - 112*o + 1142. Give t(9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = o - 48, -4*g + 12 = o + 45. Let j = -6 - g. Solve 2*k - j = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98707 is divided by 641?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 4*g - 16, 5*g = -3*r + 52. Suppose 2*n - 3*i - 2*i - 9 = 0, -15 = -5*i. What is the lowest common multiple of r and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095 is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2394956213 to the nearest integer?\nAnswer: 48938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3999141 is divided by 499892?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52214 + -7?\nAnswer: -52221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260189 (base 13) to base 16.\nAnswer: df33a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.51 - -0.5100145. Round c to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l - 1. Calculate a(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 760?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.71.\nAnswer: 1.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 51, 67, 71, 57, 19, -49?\n\"Answer: -n**3 + 23*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.26*4247.8\nAnswer: -9600.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 6*b**2 - 2*b - 10. Let n(u) = u**3 + u**2 - 5*u - 3. Let x be n(-3). Let o be q(x). Suppose -5*h + 10 = -0*h. Solve 2*s - o = h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 1\/14*m**7 + 0*m + 0 - m**3 - 3\/20*m**5 + 7\/8*m**4 - 7\/40*m**6 - 5*m**2. What is c in i(c) = 0?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 636 and 2676?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v**2 - 15*v + 7. Let b be g(-3). Let w(k) = -8*k**2 - 2*k - 3. Let n(o) = -25*o**2 - 7*o - 10. What is b*n(i) + 7*w(i)?\nAnswer: -6*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -14, -2\/17, 0, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (186*j**3 - 213*j**3 + 13 - 14)*(0 + 2*j + 0).\nAnswer: -54*j**4 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 9\/(-2)) + 2\/(-4). Suppose q*k - l - 18 = 0, k + 5 = -2*l + 19. Suppose -2*s - 2*i + k = 0, 2*s + 3 = 4*i + 1. Sort s, -1\/2, -4.\nAnswer: -4, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-81)*4\/36*27.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**2 + 8*j + 1. Let r(n) = -5*n + 0 - 1 + 20*n + 9*n**2 + 3. Let q be (6\/9)\/((-4)\/66). Let o(p) = q*w(p) + 6*r(p). Determine o(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8857447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(20\/44) - -5. Suppose -l - 3 = 0, -4*v - 643 = 4*l + l. Let j = v - -333. Calculate the highest common factor of x and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Let j = 155 + -145. Solve x*u + 2 = -j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*z + z = 1, -9*z + 4*z - 7*z + 950 = l + 1023 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 27. Let i = j + 14. Let l(w) = w**3 - 9*w**2 - 9*w + 3. What is the remainder when i is divided by l(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6316*y - 3188*y - 595*y**2 - 3128*y.\nAnswer: -595*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - g**2. Let m be q(0). Suppose m = -j - 4*j - 30. What is the units digit of 4\/j*(-37 + -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55350, -55351, -55352, -55353?\n\"Answer: -p - 55349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 4320?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 6*t - 3*a - 6343, 5*a - 25 = 0. Let f = t + -2242. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 9*t**4\/4 - 38*t**3 + 201*t**2\/2 - 96*t - 147. Determine h so that n(h) = 0.\nAnswer: 1, 32\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -2\/31, 2\/5, 0.04, -2, -1.6, 24?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*u + 147 = -3483. Suppose -2*b + 5*j = -3*b + 29, -4*j - 20 = -b. Calculate the smallest common multiple of u and b.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-70) - 14\/(-35). What is the second biggest value in 0.8, -8, p, 1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833456 is divided by 309?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2824 and 150.\nAnswer: 423600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6190 + 7033. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 - 43 + 18)*(11*h**4 - 24*h**4 - 11*h**4) to the form r + a*h + t*h**2 + x*h**4 + q*h**3 and give x.\nAnswer: 1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 take away 2.346?\nAnswer: -3.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2827 + 2851. Let s(q) = -q + 13. Let h be s(7). What is the highest common factor of h and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20.233408 and 82?\nAnswer: 102.233408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = -0, 3*d - 11 = 2*l. Let k be ((-62)\/8)\/((-110)\/88). Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 6 = -4*q, 0 = 190*u - 192*u + q - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzkggzz. Give prob of sequence gg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-15)\/80*2\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w = 34*w + 44 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2868104 divided by -136\nAnswer: -21089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0069789611 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-102))\/((-18)\/51).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37530 and 7047.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*u - 391*u**2 - 174*u**2 + u - 183*u**2 - 24*u**2 to the form t*u**2 + k*u + n and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1434*r - 43. Let o be 6 + (-1)\/(-5)*0. Is i(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 738.7 - 774. Round a to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 38928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2013?\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -82007 smaller than -82014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507524 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 926 - 1620 - 1214 + 0*i + 0*i to w*i**2 + h + m*i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 38. Let x = c - 13. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -367 (base 9) in base 10?\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 r when three letters picked without replacement from rgrgeooooggro.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s - 1 - 2 + 0 + 12*s.\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3 + sqrt(13))**2 + -1) + -3.\nAnswer: -45 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*u - 27, 5*u = -v - 3*v - 3. Solve -3 = 4*x - v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-101)*1473\/8838.\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 664 and 101924?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:24 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 2:01 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 3 + 3)*(4*w**2 - 5*w**2 + 2*w**2) + 0*w**4 + 3*w**4 - 5*w**4 - 49*w**4 + 78*w**4 - 39*w**4 + (2*w**4 + 2*w**4 - 2*w**4)*(-3 + 4 - 3).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2677272 divided by -669318\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x. Let m = 60 - 53. Let t(f) = 15*f + 11*f - m*f. Give r(t(z)).\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(2\/5)*z*z\/(z**(-6)\/z)*z**(2\/5)\/z**(-2) assuming z is positive.\nAnswer: z**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 417226, 417254, 417282, 417310, 417338?\nAnswer: 417366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 13*p + 51. Let u be q(8). Solve -3 - 2 = 3*h + 2*x, 0 = 5*h + 4*x + u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1538, -2949, -4372, -5813, -7278, -8773, -10304?\nAnswer: -11877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -7. Let d(s) = s - 10. Let k(f) = -2. Suppose -3 = -2*q - 9. Let u be 1\/3 + (-5)\/q. Calculate u*d(t) + z*k(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 957*u - 1. Let b be s(1). Let w be (b\/8 - -3)*-80. What is w rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 67\/24*h**4 + 41*h**2 - 3\/2*h**3 + 0*h + 0. What is the tens digit of k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304802 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: Suppose -4*g + 5*z + 134 + 38 = 0, 0 = -5*g - 3*z + 215. Let f be -129*2\/(1 + -7). Let t = f - g. Solve -5*n = t, -p + 0*n - 2*n = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*z**4 - 30080231\/3*z - 96721*z**2 + 0 - 311*z**3.\nAnswer: -z*(z + 311)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*v - 2*v + 648210, -648207 = -4*v + 5*q. Suppose -v = -m + 530147. Round m to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 6*v = -15. Solve -v = -j - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**4 + 1700*k**3 - 105528*k**2 - 4009824*k = 0.\nAnswer: -476, -27, 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 488?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, 1, 12293 in increasing order.\nAnswer: 1, 168, 12293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -24*k**3 - 1367*k**2 + 60*k + 31. Determine o(-57).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 208\/5 + -32027\/770. Is i at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(-11\/4))**20 assuming p is positive.\nAnswer: p**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 1000220122100?\nAnswer: -1000220122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/10 - 4\/(-20). Suppose p = -10*y + 16*y + 402. Let t = -40 - y. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9510, -9502, -9506, -9528, -9574?\nAnswer: -9650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 42\/385*(-12)\/8*5\/(-3)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**1)\/(k\/((k**0*k)\/k))*k*k**(-2\/7)\/k*k**(-5))**(-1\/15))**(-42) assuming k is positive.\nAnswer: k**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-3) - ((-245)\/3 - 2) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {e: 2, r: 4, x: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 2. Let z be r(0). Let o(m) = m - 2 - 2 - z. Let h be o(6). Solve -w + 31 = 4*g + 12, h = -3*w + g - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1, -11, -61, -173, -371, -679?\n\"Answer: -4*a**3 + 5*a**2 + a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 220050369 to the power of 1\/2, to the nearest integer?\nAnswer: 14834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 - 45. Let w = -48 + r. Let i = w + 28. Solve -m + 1 = d - 4, 5*m = 2*d + i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 8:31 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, z: 1, h: 4, l: 3, s: 2, w: 1}. Give prob of sequence hhah.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, -69, 0, 5 in decreasing order.\nAnswer: 15, 5, 0, -4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507 = a - 4*a + 42*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543613?\nAnswer: 7, 77659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -24*t**3 - 18*t**2 + 18*t + 18. Let c = -121 + 120. Let h(b) = b**3 + b**2 - b - 1. Determine c*n(q) - 18*h(q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -77 - -1886a?\nAnswer: 187a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32305 and 910?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3051 (base 6) in base 16?\nAnswer: -2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:35 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/10)\/(27\/(-180)). Suppose 0*c - c + o = 2*v, 3*c = 2*v. Solve -y + c*y = 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348 divided by 29.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5311\/12 + -1771\/4. Which is the third smallest value? (a) 2 (b) -2\/3 (c) g (d) 16\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 22, 4365, -274 in increasing order.\nAnswer: -274, -5, 22, 4365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 4 (b) -3 (c) -0.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 1432?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m. Let t be a(2). Let n be 0*(-2 + t + -1). Suppose n*g + 3*g = 195. Calculate the greatest common factor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -78, 3 in decreasing order.\nAnswer: 3, -5, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t - 3. Let o(s) = -2*s**2 + 2*s - 6. Let w be o(5). Let i = w - -66. Calculate the least common multiple of i and f(-3).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -13\/8 (c) 0.71 (d) 2\/55 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.088 and -7.24.\nAnswer: -7.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + k - 4 + 13 = -49, -5*p + 2*k = 66 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-30)*(9156\/(-56))\/(-109).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17467.999936 + -17462. Let u = 6 - y. Round u to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*a**3 + 6*a**3 + 16*a**3 - 10*a**3.\nAnswer: 42*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**3 + 0*d**3 + 27 + 1104*d**4 - 1081*d**4 - d - 5*d**2 + 2*d**2 as b*d**3 + z*d + k*d**4 + c + o*d**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 5*v + 70 = 0. Calculate the remainder when v is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -3, -12 in decreasing order.\nAnswer: 4, 1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21\/4 (b) -0.2 (c) 4\/5 (d) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24\/419 - 33533\/7542. What is the common denominator of 2\/(-3) - (-95)\/66 and c?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + 0)*-1 + (sqrt(171) + 1*sqrt(171))*-1 - (-3 + (sqrt(171) - (sqrt(171) + -1)) + -5))**2*3.\nAnswer: -378*sqrt(19) + 4764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142301 = -247*l + 270*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m**2 + 2*m + 4. Let x(f) = -2 + 11*f**2 - 127*f + 64*f + 60*f - 5. Determine -5*r(i) - 3*x(i).\nAnswer: -3*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*z + 37*z - 608. Let o = z - 100. Calculate the highest common factor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a + a + 0 - 2. Suppose -j = -212*w + 211*w - 9, 5*w = -5*j + 5. Let p(d) = 0*d - d + 2*d. Determine j*p(y) + s(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.37, 85, 3\/5, 1?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/300 and -56\/75.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146091 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - 0) + (-9 - (8 + 25 + -10 + -24)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -561114 - 259386 = 15*t. What is t rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1309 and -16\/2057.\nAnswer: 14399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23815498?\nAnswer: 2, 7, 61, 79, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/10*(-61215)\/5247?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 40766304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23300 and 177951420.\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 745.0565 tonnes in nanograms?\nAnswer: 745056500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u + 154 = 31*u. Let n = 3 - 3. Suppose n = -3*v + 149 - u. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -35. Let q = -12 - l. Suppose -q*y - 4 = -14. Solve -y*j = -j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, c: 1, t: 2, j: 1, g: 1}. What is prob of picking 1 g and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2 - 2303216*j + 331550246416 = 0 for j.\nAnswer: 287902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210040, -840306, -1890742, -3361342, -5252100, -7563010, -10294066, -13445262?\nAnswer: -17016592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72067 - 19679 = 2483*l + 22761 + 54337 for l.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 31. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*l**3 - 2*l + 2*l**4 + 3*l - 42*l**3 wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3805*u. Let x(r) = -27*r**2 + 3*r. Calculate q(x(d)).\nAnswer: 102735*d**2 - 11415*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 6, -13, 33, 2 in ascending order.\nAnswer: -13, -2, 1, 2, 6, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3436224 by 1.\nAnswer: 3436224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001576972 to 7 dps.\nAnswer: -0.0001577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 14. Let l be j(-12). Let i be (-6 - l)*9\/12. What is the smallest value in 0.1, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21838 divided by -61\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12\/13 - 61\/52. Which is the second smallest value? (a) 5 (b) m (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 1) + (-17 - -20). Let x(c) = -4*c + 6. Let o be x(w). Let u be o\/(-4)*(-64)\/(-24). Solve -u*s = -p - p - 2, 5*p = 2*s - 21 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(4\/19)*d*d**(2\/13)*d**10*d**4 assuming d is positive.\nAnswer: d**(4185\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.4 + -4. Let n = -34.3 + 31.3. Which is the nearest to -1? (a) 4\/3 (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*o = 152 + 792 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from mcmmcc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18, -604, -2900, -7902, -16642, -30152, -49464, -75610?\n\"Answer: -172*h**3 + 195*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 11 + 16. Suppose 2*x - p*x = -561. What is the greatest common factor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 27*i**2 - i - 58. Let u(w) = w**2 - w - 2. Let n(o) = -f(o) + 2*u(o). What is the first derivative of n(p) wrt p?\nAnswer: -50*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1))**(-34) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 10578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000199012 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35\/312 + 1099\/1560. Find the common denominator of 32\/63 and q.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4, -4*z - z - 16 = -3*q. Suppose -q*t - 5 = s + 1, s = 4*t + 12. Let w = t + 21. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 673, 2730, 6129, 10846, 16857?\n\"Answer: -4*v**3 + 695*v**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -0.5624.\nAnswer: 0.9624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7*f = 36. Let k(l) = -8*l**2 - 6*l + 7. Let q = -29 + 46. Let z(s) = 23*s**2 + 17*s - 20. Let g(u) = f*z(u) + q*k(u). Differentiate g(b) wrt b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 e when three letters picked without replacement from ezezzzzzezz?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 21419649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 133284 and 671.\nAnswer: 89433564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468 = -37*c - 15*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/10 - (-198)\/15. Let g = t + -9. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/15)\/(3\/(-60)). Let i = 5 - h. Let j be 3\/6*0 + i. Is -3 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*x - 1. Let p be x*((-20)\/6)\/5. Let m(b) = b**2 - 4*b + 6. Calculate the remainder when m(p) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -3*d + 6335 - 6330, 0 = 4*d - 3*s + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 323 + -528. Let x = v - -205.0000166. Round x to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 154*i**4\/5 - 20967*i**3\/5 + 23939*i**2\/5 - 1188*i = 0.\nAnswer: 0, 4\/11, 11\/14, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 28 = -c. Let s = -8 + c. Is s > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 47. Suppose -n*b + c + 2 = -3*b, 2*b = 4*c + 8. Let r(s) = s**2 + s - 15. Calculate r(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -572, 1\/6, 2\/15, -12, -4.\nAnswer: -572, -12, -4, -2, 2\/15, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 765.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -922 = 2*o - 908 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3083834 or -3083872?\nAnswer: -3083834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**3\/4 - 467601*o**2\/4 - 350706*o - 233805 = 0?\nAnswer: -2, -1, 155870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 + 1.8. Let k = 4 + -1. Which is the biggest value? (a) k (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37247272 divided by 2191016.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 4588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = 8. Suppose 25 = -3*w - m*w. Let g be 1\/(-4) + (-9)\/(-4). Put g, 0, w in ascending order.\nAnswer: w, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 1781*c = -1778*c + 14, -19 = 5*x + 3*c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - -8. Let h be w\/(-40) + (1 - 0). Let q = 13\/120 + h. What is the biggest value in 0.04, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 102781351?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/44 - (-21)\/(-12)*23. Let o be (0 - -2)*-2 + q\/(-2). Solve -t = -5*r + 8*r - 12, -2*r + 2*t = -o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/34, -0.3, -0.5, -0.09, 46 in ascending order.\nAnswer: -0.5, -0.3, -0.09, 1\/34, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1148 - -1166. Calculate the highest common divisor of 576 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13913 - -13920. Let h(f) = f**3 - 7*f**2 - 4*f + 21. Calculate h(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 320 + -274 + -65 + 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13003 + 23?\nAnswer: -12540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41 or -16?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*n*r - 2*n + 98838*r - 2073266 wrt r.\nAnswer: 22*n + 98838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.196 + 0.696. Let t = -0.38 + 0.08. What is the nearest to 0.2 in t, 5\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((((sqrt(76) - sqrt(76)*3) + sqrt(76))\/sqrt(4))**2 - sqrt(19)) + -2) + -3 + (-4 + 2*sqrt(475))**2.\nAnswer: -76*sqrt(19) + 1845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -905*k + 2632?\nAnswer: -905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -807*a**2 - 6*a - 3. Let t(x) = 289713*x**2 + 2152*x + 1076. Give -1076*o(i) - 3*t(i).\nAnswer: -807*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916\/541 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172 - 231. Let v = d - -60. Which is greater: v or 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 13*c**2 + 21*c - 49. Let i be ((-2)\/4)\/((-1)\/88*-4). Is n(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*n - 51*n - 55*n - n**3 - 2*n**2 + 77*n**4 in the form w*n**2 + t*n**3 + d + z*n + l*n**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30a (base 16) to base 12.\nAnswer: -54a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1021 + 1527. Let v = u - -1133. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 17 = 4*q, 2*q - 21 = -5*o. Solve 5*k + o = -12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 3 (c) -347\/29 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 403182 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i + 20. Suppose -3 + i = -h. Put h, 3, -5 in decreasing order.\nAnswer: 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 323 + -302. What is the remainder when 57 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275380794 a multiple of 1637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from {k: 2, g: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 794*g - 793*g - 3, 4*g - 5 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111 (base 2) to base 8.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73155 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 r(b) = 532*b**2. Let t(m) = 354*m - 174*m - 181*m. What is t(r(z))?\nAnswer: -532*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1475 + 739 + 123*z + 740)*(-2*z**3 - 58*z + 2 + 58*z + 3*z**2) in the form d*z + f + s*z**3 + c*z**4 + n*z**2 and give d.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15905385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18865 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 192\/13 - 1305\/91. What is the second smallest value in q, -15, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -28, -52, -86?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.27 and 387399.67617.\nAnswer: 387399.94617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13137, -13134, -13131?\n\"Answer: 3*r - 13140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 4. Suppose 42 = u*w + 5*w. Suppose 2310 - 324 = w*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23039294 and 410.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 12. Suppose -p + d = -3. Suppose -j - 4*j + 75 = p*l, j + 5 = 3*l. What is the remainder when 16 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t = -15. Suppose -o + 5 = -5*y, 2*o - y + t*y + 2 = 0. Suppose 4*s - 9*s + 35 = o. Solve 5 = -4*u - s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009096 rounded to 6 dps?\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31\/8 - -325\/88. Let x be 18\/2 - (3 - 2). Let r(a) = -a**2 + 8*a. Let k be r(x). Which is smaller: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + (2 - 2))\/(-3 - -2). What is the remainder when 31 is divided by d - (-3 + (-1 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-5)\/(20\/(-8)))*(-1275)\/170?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/5 - (-21)\/(-15). Let p(a) = 76*a**2 - 2*a - 1. Is p(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169295 is divided by 85?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 0.1, 13, 18\/7, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*n**4 - 34*n**4 - n**2 + 2*n**2)*(47 + 16*n - 47).\nAnswer: -48*n**5 + 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (-16 + -7 + 25). Solve -3*q = 2*d - 6*q + 1, c*q - 23 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252412.\nAnswer: 2, 63103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + 54*u - 50. Let q be v(26). Suppose 3*p - 25 = q*r + 58, 5*r - 3*p = -185. Round r to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(117)*-3 + sqrt(13) - (2 + sqrt(637))*-2)**2.\nAnswer: 84*sqrt(13) + 517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - i - 2. Let p be (-12)\/2*(-14)\/(-42). What is the least common multiple of g(p) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86700172 to the nearest one million.\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-5) - 3\/(-15). Suppose 0 + 4 = 4*y, 0 = -5*u + 5*y - t. Suppose 0 = n, 35*n - 15 = -3*r + 39*n. Solve r*z + u*z = -v - 10, 2*v + 3*z = 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262 divided by 2.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -43*i + i**2 + 17 + i**3 - 5*i**2 - 7*i**2 + 0*i**3. Let c be x(14). Suppose -754 + 1918 = c*f. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**5 + 288*g**4 - 325*g**3 - 9*g**2 + 20*g - 1106.\nAnswer: 120*g**2 + 6912*g - 1950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/1*(-4 + 1). Suppose w + 5 = j. Suppose -3*x = 3*o - 21, -w*o + 12 = -2*x + 2. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6595*m - 6607. Give d(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.6, 0.1, 5, -449, -38\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**29*(t**3*t)**(-46) assuming t is positive.\nAnswer: t**(-213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 2*t - 9. What is the tens digit of d(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + 28*(-3)\/(-60).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5.1. Let g = 1.9 + -2. Let q = p + g. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26353423?\nAnswer: 23, 1145801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 17*c**2 - 91*c - 399. Is r(43) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123 - 152 + 151)*(-7 + 7 - n).\nAnswer: -122*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2 + 19 - 84*q - 8 - 2*q**3 - 251*q.\nAnswer: -2*q**3 - 335*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.3. Suppose -5*a - j + 0*j - 3 = 0, 5*j = 10. Which is smaller: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2631*139643\nAnswer: 367400733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3788*c**2 - 1. Is w(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -116, -112, -108, -104?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 5*z**4\/4 + 215*z + 1. Let x(s) be the second derivative of -s**4\/2 - 4*s. What is x(g(l))?\nAnswer: -1350*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l*m**3*r**2 + 7454*l*m**3 + 5*l*m**2*r**2 - 108*l*m*r**2 - 2*l + 5*m**3 - 2*m**2 + 2*r wrt m?\nAnswer: 6*l*r**2 + 44724*l + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.089635 + 105.\nAnswer: 105.089635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, c: 7}. What is prob of picking 2 f?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 163477\nAnswer: 163482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186 divided by 1.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hddh. Give prob of sequence dhd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4020 equal to -4033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18085 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-45)\/25)\/(8\/20))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 7*c**2 + 7*c + 8. Let m be b(-6). Suppose 0 = -m*o + 3*o - 6. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34056273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4070000 by 1850.\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**4 + 2240*x**3 - 23805*x**2 - 100790*x + 122360 = 0. What is x?\nAnswer: -4, 1, 14, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-298)\/(-12) - 3) + 2\/12. What is the highest common divisor of t and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, 277, -9\/2, 2\/7, 2\/11?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9752, -19435, -29118, -38801?\nAnswer: -48484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**3 + 3*h**2 + h + 1. Let u(w) = 23*w**3 + 17*w**2 + 6*w + 5. Give 34*q(x) - 6*u(x).\nAnswer: -2*x**3 - 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2*-6101735\nAnswer: 12203470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 13. Let t be u(-4). Suppose -t*j = 5*j - 18000. Suppose 5*w - 245 = j. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4660770)\/(-150) + -3*(-3)\/45.\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 0.5, -56, -11 in decreasing order.\nAnswer: 1, 0.5, -3, -11, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 109335251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -30?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -z, 356*x = 5*z + 352*x + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h**2 + 16*h - 16. Suppose -2*l - 16 = -4*o, -l - o + 7 = -3*l. Let i(v) = -v**2 + 3*v - 3. Determine l*p(j) + 11*i(j).\nAnswer: j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*t**4 + 481870*t**3 - 12700335*t**2 - 22184470*t - 9002280 = 0. What is t?\nAnswer: -32151, -1, -2\/3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 16 = 3*y. Let r(g) = 2*g - 8. Let m be r(5). Find the first derivative of 2 - 2*x**m + 15 - y wrt x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151497.\nAnswer: 3, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*a = -0*s + 9, -2*s = a - 11. Suppose s = 3*h - h. Suppose 2*b**5 + 2*b**5 - 6*b**5 + 4*b**2 + 2*b - h*b**4 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 + 2*g + 2. Let f(s) = -s**2 - s - 1. Let b(c) = -10*f(c) - 5*m(c). Let x(p) be the second derivative of -p**4\/12 + p - 380. What is b(x(l))?\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*3\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.648 + -0.048. Let g = 3.559 - z. Let u = 0.04100088 + g. Round u to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**4\/8 - 3*k**3\/2 + k**2. Let d(a) = -a**3 - 18*a**2 - 57*a - 8. What is the remainder when s(6) is divided by d(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + (sqrt(133) - -2*sqrt(133)) - sqrt(133))\/sqrt(7) - (-4 + (-3*sqrt(19))**2)) + 1 + 4*(sqrt(19) + sqrt(19) + 0).\nAnswer: -166 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 112*w**3\/3 + 66*w**2 + 20*w + 4208. Let c(u) = 0. Calculate u.\nAnswer: -1, -5\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**2\/2 - 13*p - 50961. Let k be 20 + 2\/(-2 - 0). What is z(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4865.856 + 0.1.\nAnswer: -4865.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322765797 is divided by 4154?\nAnswer: 4151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-330)\/24 - -6) + 4)\/(10 + 3654\/(-360)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/4 (b) 1 (c) -2\/13 (d) -766082 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4892\/279 + 330\/31. What is the common denominator of v and 49\/15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 3*f + 4*f + 15, -6 = -n + f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4107053652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7886?\nAnswer: 2, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*j - 6690, -8*j = -11*j - 4*r + 3965. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 28*c + 36. Let k(h) = h**2 - 28*h - 35. Let s(g) = -5*i(g) - 4*k(g). Factor s(u).\nAnswer: -4*(u + 2)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 26*f**2 + 73*f - 521. Let w(i) = -9*i**2 - 24*i + 174. Let h(g) = 6*c(g) + 17*w(g). Factor h(z).\nAnswer: 3*(z - 4)*(z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/72 and -107\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -92491200.\nAnswer: -1\/46245600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 183*u - 182*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 12459.\nAnswer: 37377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-518)\/2516*17*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 4*a. Let u be d(4). Suppose -q = -5*i + 18, 14*q = 12*q + i. What is the second derivative of -o**3 - o**3 + u*o**3 + q*o - o**3 wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3071, 2920, 2669, 2318, 1867?\nAnswer: 1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 15*t**3 - 3*t**2 + 5*t + 11. Let k be x(5). What is the greatest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.09 + 0.09. Let j = o + 3.7. Let r be (-6)\/(-4)*4\/(-3). Which is the closest to 1? (a) 5 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + -2 + sqrt(4032) + 2 + -5 + sqrt(4032)*2)**2 + -1 + -5.\nAnswer: -432*sqrt(7) + 36291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 32 = -3*z + 2*l + 7*l, 4*l - 86 = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*i**2 - 4*i**2 - 2*i**2)*(-35*i + 1 - 2 - 1) in the form r*i**2 + v*i**3 + n + l*i and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104890523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540*c - 4619 = 506*c + 685. Solve 30 = 42*x + c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**6\/180 - a**5\/60 + 11*a**3\/3 - 16. Let x(v) be the third derivative of f(v). Determine x(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77058288, 77058289, 77058278, 77058249, 77058196?\nAnswer: 77058113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(91)\/sqrt(7) + 2 + (-4*(sqrt(13) + (sqrt(468)*3 - sqrt(468)) + sqrt(468) + sqrt(13)))**2.\nAnswer: 3*sqrt(13) + 83202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + -3 + 3*(0 + sqrt(833)) + -4 + (0 + sqrt(833) + sqrt(833))*1*4)**2.\nAnswer: -1078*sqrt(17) + 100839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12*(-10)\/(-45))\/(-13 - 38\/(-3)). Solve -b*c - 100 = 12*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.56, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 309 (base 15) to base 7\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*y**3 - 6*y**2 - 172 + 178 + 60*y**3 - 3*y**3 wrt y.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2795 (b) 0 (c) -1\/139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*l + 2, -79*l = -76*l + 4*c - 40. Solve 5*y + l*v = 5, -y - 3*v + 26 = 36 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198779003, 198778999, 198778993, 198778985, 198778975, 198778963?\nAnswer: 198778949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12)*(-6)\/26.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1216, 1228, 1240, 1252, 1264, 1276?\nAnswer: 1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0056232t?\nAnswer: 5623200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 3, g: 10, h: 1, r: 2, o: 1}. Give prob of picking 1 o, 1 z, and 1 k.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/109626?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwlallxwwwlpwllk. What is prob of sequence xp?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 100.75?\nAnswer: 100.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181\/12 + -63\/4. What is the smallest value in f, 4, -37\/15?\nAnswer: -37\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 20, -4, 3, -5.\nAnswer: -5, -4, 1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1035*h**4 - 4785*h**4 - 3938*h**4)*((0 - 1 + 3)*(-1 + 2 - 3) + 1 - 1 + 1 - 1 - 3 + 5) in the form z*h**2 + t*h + r*h**4 + s*h**3 + u and give r.\nAnswer: 19516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 550a78 (base 13) in base 4?\nAnswer: 13220202203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 97 in 2, -1\/8, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8335 - -8335.1. Is j bigger than 15965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/25 and 36\/55.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9916 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158 - 156 + 314 - 4*r**3 + 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 9. Let g be l(6). Suppose 0*c = c - g. Solve -3*h = 2*h - y - 19, -4*h - c*y = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 0 + (sqrt(17) - (2 + sqrt(17) + sqrt(68))))**2.\nAnswer: -36*sqrt(17) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t - 3*t - 2)*(-5*t**2 + 4*t**2 + 5*t**2).\nAnswer: 4*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcdh when four letters picked without replacement from dcdjdhhddjdhddcd?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**2 - 28*i + 55. Let q be u(-7). Is 73\/15 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 2*y**2 - y**2 + (0 + 2*y + 0)*(-y + y + y) + 1 + 1011*y**2 - 985*y**2 + 1 + (-8*y - 11 + 11)*(-2*y - 5*y + 6*y) as f*y**2 + j + k*y and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4*c + 4)*(112*c**2 - 72*c + 72*c) - 1 + 1 - 3*c**3 to the form t*c + q*c**2 + b + r*c**3 and give r.\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 295040*-50*3\/6. Round r to the nearest one hundred thousand.\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 53889\/21229 + ((-24)\/(-26))\/2. Solve -48*v = -43*v + 2*k - 6, -q*k = -v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32332023210 (base 4) to base 15.\nAnswer: 527d23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*b + 2, g + 0*b = -b - 8. Let a = g + 42. Let y(w) = 10*w**3 + 151*w**2 + 15*w + 10. What is the remainder when a is divided by y(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 4, -11, -40, -83?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93502522 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(4 - (-6025)\/(-1506)) + 1. Let g = u - 36239\/6. What is the common denominator of g and 13\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, x: 8, w: 1, i: 2, y: 2, v: 1}. What is prob of picking 2 i and 1 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5 - 15. Let l(j) = -7 - 2 + 6 - 9*j - 2. Is 17 a factor of l(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001087719 to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**2\/2 - 2211*j - 1629507\/2 = 0?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3 - -1.12. Let o = 1.08 + x. Suppose -4*z + 3 = -3*z. What is the closest to o in -0.5, z, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4765254?\nAnswer: 2, 3, 13, 199, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7))**(-2\/21)*(x*x**(2\/7)\/x)\/x**(1\/2))**(13\/5) assuming x is positive.\nAnswer: x**(-143\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1\/5, -67?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -10, -16, -2\/5, 0.3, 42, 1\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-9\/5))\/((j*j*j*j*j\/((j\/(j*j\/((((((j*j*j*j**(-11))\/j)\/j)\/j)\/j)\/j*j)))\/j*j*j)*j)\/j))\/(j**2)**(-1\/4) assuming j is positive.\nAnswer: j**(-137\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let l(o) = -5*o**2 + o - 1. Calculate l(s) - 2*y(s).\nAnswer: -5*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**2*f**4*h + c**2*f**2 + c**2 - 77*c*f**2*h - 2*f**4*h - 288*f**4 wrt f?\nAnswer: -24*c**2*f*h - 48*f*h - 6912*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -450 divided by 9\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -71.3, -0.3, -0.13, -3?\nAnswer: -71.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.2 + 3. Which is smaller: 32 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 18337\/4, -2\/29 in increasing order.\nAnswer: -6, -2\/29, 18337\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11255 (base 6) to base 3\nAnswer: 2012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Let u be -5 - (a + -1)\/(-1). Let w = 3 + u. Do -2 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 8*m + 8*m + 24*m.\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 499 - 498. Let o(c) = 106*c**2 - 53*c + 4. Let y(p) = 2*p**2 + p - 1. Let w(a) = u*o(a) + 3*y(a). Find the second derivative of w(n) wrt n.\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 8*-1 + (-8 - -15). What is the nearest to 4 in -0.6, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -12?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 z when three letters picked without replacement from ezezzezzezzzzzzzzzzz?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c + 4. Let s = 33 + -22. Calculate the remainder when (c - -5)\/(2\/10) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28, -369, -1030, -1955?\n\"Answer: -132*d**2 - d + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + y - 7 = 0, q + 0*y = -y + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - 29. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(1053) + -3 + -1 + -1*sqrt(1053)*4*1 + 1 + 4)**2.\nAnswer: 216*sqrt(13) + 37912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 240 in 2\/3, -137.3, 4\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 19, -6, -51, -122, -225, -366, -551?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 greater than 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 - (2 + -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c2b2f + -2?\nAnswer: -3c2b31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = -5*j - 20*k + 17*k, 69*j + 2*k = -185*j + 932 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + (6*sqrt(224))\/((sqrt(18) + sqrt(2) - sqrt(2))*4))**2.\nAnswer: 36*sqrt(7) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.8 - 22. Let m = -1.7 - b. Let k = -1.5 + -0.5. What is the nearest to 2 in m, 0.1, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 t when four letters picked without replacement from fffffffffffffftfftff?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(612)*2.\nAnswer: 5 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/116792 and -39\/200.\nAnswer: 2919800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3459*z + 3456*z = 4*w + 43, 0 = 3*w - 15*z - 330 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 - -124. Let j(g) = -o*g - 3 - 2 + 5 + 9*g**2 - g**3. Give j(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 560 and 224.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5\/6 + 3381*f**4\/2 + 25755587*f**3\/6 + 179903869*f**2\/6 + 47096924*f + 64211560\/3 = 0 for f.\nAnswer: -5068, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**8\/168 - 86*c**7\/105 - 17*c**6\/12 - 727*c**2. Let g(h) = 0. Calculate h.\nAnswer: -85, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6354 * -0.4\nAnswer: -0.25416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -2.32702?\nAnswer: -1.32702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 110*h + 45. Let v = 1081 + -1085. Let s(b) = 10*b + 4. What is v*c(m) + 45*s(m)?\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4398508.\nAnswer: 2, 1099627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2908 and 37022881312.\nAnswer: 37022884220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l**2 - 4*l**2 - 5*l**2)*(39*l + 52*l - 106*l).\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, -40, -76, -112, -148?\n\"Answer: -36*v + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/76 and 109\/36.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2606*b + 908*b = 73014 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 3:51 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 29*p - 99. Let y be n(-25). Let q(a) = -a. Let f(l) = l + 1. Determine y*f(s) + 3*q(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -y + 5*y. Let q(u) = -74*u + 962. Let w be q(13). Suppose -4*l + y*l + 25 = w. Calculate the least common multiple of l and 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27683*m + 27683*m + 9 - 5*m**2 + (0 + 0 + m)*(-2 - m + 2).\nAnswer: -6*m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 + 104?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12183 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/499, 4, -2, 5, -0.1.\nAnswer: -2, -0.1, 1\/499, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63012489?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 456472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiikbbwiabiissa. What is prob of picking 1 b, 1 a, and 1 w?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7*f + 24 = 0. Suppose m + 5*x - 71 = 3*m, -f*x = -3*m - 129. Let c = 72 - m. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/6 - 16986115*k\/3 + 11324077\/2.\nAnswer: -(k - 1)*(k + 33972231)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 - 3*u**3 + u**4 + (-2*u**2 + 3 - 3)*(-3*u + 3*u + 2*u**2) - 3*u**4 + 2*u**4 + 0*u**4 + (13*u + 3*u - 42*u)*(0*u**3 + u**3 + u**3)*(-18 - 18 + 9).\nAnswer: 1400*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*v - 33*v - 1 - 205*v to the form z*v + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 78568\/(-3220) + (-2)\/(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*t - 220, 3*x = 2*t + 49 + 63. Which is smaller: t or -52?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(2\/23)*m*m)\/((m**(5\/3)*m)\/m))\/(m**(-3)\/m)**21)**(-3\/8) assuming m is positive.\nAnswer: m**(-2947\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 273199 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 5592*b**2 - 524544*b + 2187392.\nAnswer: 4*(b - 1486)*(b - 4)*(b + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 63. Let v(r) = 2*r + 5. Let o be v(11). Let u be l(o). Suppose 3*n - h - 97 = 0, -5*n + u*n - 112 = -3*h. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1798992 and -131\/4992.\nAnswer: 14391936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -74*k + 1253. Determine w(14).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**6 + 13*b**4 - 2454*b**3 + 72375*b**2?\nAnswer: -120*b**3 + 312*b - 14724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 104377?\nAnswer: 104413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*u**3 + 25 - 3*u + 4*u + 0*u wrt u.\nAnswer: 12*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(130) + (sqrt(130) - (sqrt(130)*-2 + sqrt(130)))*-1)\/(sqrt(160) + -1*sqrt(160) + sqrt(160)) + 3)**2.\nAnswer: -sqrt(13)\/2 + 29\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140973690 divided by -1326.\nAnswer: 106315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 9*t**2 + 12*t - 1. Let c = -59 + 69. Let k be f(c). Suppose 0 = -2*r - 2*i + 18, -5*i = -4*r + r + k. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.1, -0.4, -10, -20.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 50 + 23. Let o = m + 74. Is -2\/49 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.3 (c) 0.1 (d) -932\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 250 (b) -1 (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3\/11 - 1236184*q**2\/11 - 2*q\/11 + 1236184\/11 = 0.\nAnswer: -1, 1, 618092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1712, -1707, -1690, -1655, -1596, -1507, -1382, -1215?\n\"Answer: r**3 - 2*r - 1711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 13*w**2 - 12*w + 4. Let i be r(-12). Solve -v + i*v = 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21233920 less than -7651860?\nAnswer: 13582060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0927 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:14 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/6)\/(d*d**0))**38\/((d**1)**(-2\/5)\/(d**(3\/4)*d**(-3))) assuming d is positive.\nAnswer: d**(-4291\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32947221 + 1462*n + 32947221)*(-2 + 1 + 0).\nAnswer: -1462*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 4 (b) 0.1 (c) 0.06 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 2:45 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -12, -174.\nAnswer: -174, -12, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g - 28*g + 5*i + 120 = 6*i, -25*g = i + 1500 for g.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**(-3\/10))\/(o\/(o**2*o))*((o\/(o\/((((o\/o**(2\/13))\/o)\/o)\/o))*o*o)\/o)\/o**6)**4)**(2\/23) assuming o is positive.\nAnswer: o**(-1796\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -76962.61 to the nearest one thousand.\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 948959395 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7962055 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/15)\/((-1)\/3). Let a be -1 + (1 - 1) + g. Solve a = t - 2*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -9. Let q(c) be the first derivative of -13 + 10\/3*c**3 + 3*c**2 - 6*c. Let s(w) = w**2 + w - 1. What is l*q(n) + 6*s(n)?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 15*g**2 + 35358*g + 212178. Calculate b(-6).\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -103*o**2 - 24*o**3 - 1 + 102*o**2 + 2. What is g(1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*d = -4*d - 168, 0 = 3*n - 4*d + 148. Let s be 4\/(-6) - n\/12. Solve -m + q = -2, s*m = -m + q + 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12586, -25136, -37686, -50236?\n\"Answer: -12550*b - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 1)\/(4\/(-16)). Suppose -u*z + 3*z - 5 = 0. Let b be 1 - (-1)\/5 - 1. Is b at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1383 - 57 = -8*y. Solve y = -93*w - 99 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-26)*(-22)\/(-22)*(-2)\/6?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18576 or 18581?\nAnswer: 18576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/2 (b) -3 (c) 200 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 166 - 62541?\nAnswer: -62342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -545.349 + -584?\nAnswer: -1129.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u + 49. Let f = -2779 + 2789. What is i(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 17. Let o(l) = -6*l + 52. Let p(q) = -2*o(q) - 7*y(q). Let c(j) = 5286 - 2673 + 2*j - 2613. Give c(p(s)).\nAnswer: -4*s + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392175.\nAnswer: 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. What is the closest to b in -3, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8065 and 53?\nAnswer: 427445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5235?\nAnswer: 3, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dipicilidiljj. Give prob of picking 1 i, 1 l, and 1 c.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (32\/20)\/((-4)\/(-35))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 619378051 to the nearest integer?\nAnswer: 24887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 19*z - z)*(-2*z**3 + z**3 - z**3 + z**3 + 3 - 3 + 1 - 1 - z**3 + (2 - 1 - 3)*(-2*z - 2*z**3 + 2*z)).\nAnswer: 26*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-237)\/(-21) - 4\/14. Let x = -6 + s. Suppose x*j = -0*j + 250. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**2 + 88*f + 244. Let m be z(-3). Solve -10 = -5*q + 5*p, 3*q - m = -4*p - 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/6, 0.5, -4\/19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 263904 divided by -87968?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1835861 divided by 1835861.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8043 + 3282 = 3*h. Suppose h = y + 4*f, -2*y = f + 2*f - 7525. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from xxxxxioxxxxxxoxxx?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 2)*(10*v - 10*v + 8*v**2).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 63, -1\/4, 0.5 in descending order.\nAnswer: 63, 3\/4, 0.5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y - 7. Let j = -8 + 4. Let n(c) = 2*c - 3. Let i(v) = j*l(v) + 9*n(v). Give i(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 14. Let o be -1 - (-3)\/3 - -4. Suppose 2*f + o = -4*a, 5 = -5*f - a + 4. Let x be z(f). What is the greatest common divisor of x and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 1\/150*z**5 + 2\/15*z**3 + 0 - 1\/175*z**7 + 0*z - 1\/60*z**6 + 2*z**2 + 1\/12*z**4. Let r(j) = 0. Calculate j.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m + 2*m**2 + 5*m**3 + 11*m - 3*m**3 + 9*m**4 - 4*m**3 to i*m + t + g*m**3 + r*m**2 + s*m**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibibipiu. Give prob of picking 1 i and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 121*d**3 - 679*d**2 - 153802 wrt d?\nAnswer: 363*d**2 - 1358*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-245)\/5*-4*1\/1. Let a = -1370\/7 + o. What is the closest to 0.2 in 0.2, a, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 0.4427\nAnswer: 0.022135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 38033180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**7\/126 - a**6\/90 - a**5\/20 + a**4\/36 + a**3\/9 + 212*a. What is r in f(r) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 8 = -0, -4*q = 4*l - 68. Suppose 0 = 3*u - 2*s + 27, -2*s - 9 = u - 7*s. Let y = l + u. Calculate the remainder when y is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 6*p**2 + 5*p + 6. Let x be o(7). Let j be -3 - (-4)\/(x\/34). Which is bigger: -19 or j?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -31. Suppose -1720 + 4485 = u*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2767594?\nAnswer: 2, 1383797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*b - 99 + 15, -b + 4*k = -2. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*s + 3445 + 365 = 0 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -3\/11 (c) -192 (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 + -101. Let n(o) = 6*o**2 + o + 399*o**3 + 3 + 0 + 399*o**3 - 3*o**2 - 797*o**3. What is n(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259 = -x - 261 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30907486?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2405*x - 2. Let q be p(-2). Let c = q - 38521\/8. Let n = c + 497\/72. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2576 + 5155\/2. Find b such that 2*b - f*b**2 - 1\/2 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -521 divided by 521\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2.5. Suppose 3*h + 4 = 2*m, -h + 3*h + 4 = 2*m. Is k != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:21 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 5:25 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1.98.\nAnswer: -7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -14. Let l = 1 + m. Is 11 a factor of (-4 + 12 - l)*8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -7. Which is bigger: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2167 + 2172 = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2325246 is divided by 1162568.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2476289.08 to the nearest 10000.\nAnswer: -2480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**6 - 43*s**5\/10 - 29*s**4\/4 - 6*s**3 - 5*s**2\/2 - s\/2 + 10. Solve v(u) = 0 for u.\nAnswer: -1, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 4.42 (b) 1 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.6 + -47.4. Let o = 52.000002 + l. Round o to seven decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 956260 and 11168?\nAnswer: 7650080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 51023515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -2. Let t be z\/(-13) - 154\/(-13). Round t to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*d = -2*z + 2, -93 = -4*z + 5*d. Suppose 0*w + z*w = 2635. What are the prime factors of w?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2 + x + 6. Let d(p) = -p**2 - p. Let c(s) = 4*d(s) - v(s). Let m be c(6). Suppose -2*z + m*z = -4*l + 70, 4*l = 5*z + 61. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3\/7 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.6 less than 3.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.629 + -17.6. Let o = d + -0.429. Which is the smallest value? (a) 2\/11 (b) o (c) -1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -4 (b) -0.064 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10160 a factor of 2566936487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -706*k**2 + 672*k**2 + 2878*k**2.\nAnswer: 2844*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -10. Suppose 0 = 3*g + 2*t - 48, -107 = -4*g - 4*t - 39. What is the remainder when g is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**4\/6 + x**3\/3 - x**2\/2 - x. Let p(c) = -6*c + 25. Let i be p(4). Determine a(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -40\/3. Let m(w) = -6*w + 14. Let n be m(6). Let h = 23 + n. Is v at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744956987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**3 + 310*l**2 - 981*l - 1948. Determine j(100).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30739738 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11131740 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + y)*(12 + 7*y - 12 + (-1 + 4 - 2)*(0*y - y - y))*(0*y - y - 3*y) + y**3 - 3*y**3 + 3*y**3.\nAnswer: -19*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 16*w**3 + w**2\/2 - 13*w - 48. List the prime factors of o(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438 - 71 = -66*r - 161 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -33630 times 5\nAnswer: -168150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 390.4 rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 4:19 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-2 - (56 - 25))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(108) - sqrt(108)*-3))**2 + -5.\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-205)\/(-164)*1*-4. Suppose 0 = -z - 3*u + 7, -2*u = 6*z - 2*z - 8. Put -2, s, z, 4 in ascending order.\nAnswer: s, -2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {h: 3, d: 2, t: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 896*v + 1796. Let a be p(-2). Solve 0 = -32*d + 29*d + 2*k - a, -5*d - 3*k + 6 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - 2 - 11)*(-19)\/2. Solve -13*z = -k*z + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*r + 3*f - 8 = 310*r, -4*r = -5*f - 60 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 4*n + 12. Let g be 24\/(-6)*3\/n. Let b = 3.95 - -0.05. What is the third biggest value in b, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8861 or -8858?\nAnswer: -8858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1805 and 190?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -89\/4 < 27588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3201, -3959, -4735, -5535, -6365, -7231?\nAnswer: -8139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109170 divided by -21834.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26946 or 0.2?\nAnswer: 26946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 5}. What is prob of picking 2 c?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32)\/(-112) - (-30)\/(-7))\/(-10). Put -0.44, 2\/3, v in decreasing order.\nAnswer: 2\/3, v, -0.44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8290 or -8281?\nAnswer: -8281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -113, -118, -127, -140, -157, -178?\n\"Answer: -2*d**2 + d - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -609339, -1218550, -1827759, -2436966, -3046171, -3655374, -4264575?\nAnswer: -4873774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 280 + 26. Do r and 307 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-63)\/14*(9 + (-595)\/63). Solve -2*t - 10 = m*h, 2*h - 2*t + 7*t + 19 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7008.715 nanoseconds to microseconds.\nAnswer: 7.008715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 9*p - 5 = 7*p, 0 = 3*b - p - 8. Solve -8*m + 6*m - b*c = 7, 0 = -3*m + 4*c - 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*h - 170 = 0, u - 2 = 4*h + 32. Factor 15*r**3 - 96*r - 16 + 18 + 9*r**2 + u.\nAnswer: 3*(r - 2)*(r + 3)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-20))\/(-1))\/((-106)\/424)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 16 = -3*i - 5*m, -5*i - m - 21 = 0. What is the biggest value in i, 0.3, 5, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1355 = -157. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - 3*j**2 - 8*j**2 + j**2 + 4 - 4 + (-2*j + 2 - 2)*(-1 + 1 - j) - 1 + 1 + 2*j**2 + 0*j**2 + 2*j**2 + 2*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000010100111010100 + 10111010?\nAnswer: -11000010100100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*o - 50 + 15 = -221*o. Let g(t) = 4*t**3 - 5. Let c(a) = 9*a**3 - 11. Suppose l = -4*d - 0*l - 7, -29 = 3*d - 4*l. What is d*c(z) + o*g(z)?\nAnswer: z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2474623 is divided by 1075?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (-4 - ((-7 - -5) + -8) - 1)) + 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(19) + sqrt(19) + 0 + -2))**2.\nAnswer: -200*sqrt(19) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (828\/513)\/((-1)\/3) - -5 - (2 - 2)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -3*v + 28, 8*d - 22 = -2*v + 12*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 11 + 20 + -29\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12*(0 + (-5 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, d: 4, j: 2}. Give prob of sequence kkj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 32096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 188381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211*d*x**3 - 5*d*x**2 - 5*d*x + 8*d - x**2 + 2*x wrt x.\nAnswer: -1266*d*x - 10*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -5. Let o = -4 - k. Which is the nearest to 0? (a) o (b) 15 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.1. Suppose -37*p = -82*p - 53*p - 392. Sort -2.8, p, 4, s in increasing order.\nAnswer: p, -2.8, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*j + 25 = 0, 54*j = -3*d + 55*j + 1. Calculate the lowest common multiple of 284 and d.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(6) + sqrt(486) + sqrt(486)*2)\/(sqrt(2) + sqrt(2)*2*-4).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 229.6963mg in nanograms?\nAnswer: 229696300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, -11.\nAnswer: -13, -11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-2)\/2)\/(-9*(-5)\/(-690))*21 and 161.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 546779560 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5434521 is divided by 55.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952 smaller than 1963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6499 + -7327?\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 922*o - 3 + 0 + 813*o.\nAnswer: -109*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 times -2.83?\nAnswer: -203.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 14*o**2 - 14*o - 11. Determine v(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 1. Let g(f) be the third derivative of f**4\/12 + 3*f**3\/2 + 2*f**2. Let d be g(-6). What is w(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94660481.\nAnswer: 67, 157, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(6\/7)*q**(1\/10))\/(q\/q**(-9)*((q\/(q**(1\/3)*q))\/q)\/q*q) assuming q is positive.\nAnswer: q**(-1409\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*((-5*(sqrt(272) + -1) - sqrt(272)) + 3).\nAnswer: -9 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:34 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l**2 + 4*l + 23. What is y(-5)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -338*n**2 + 343*n**2 - 41 + 38 - 2*n as b*n**2 + y + r*n and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -2\/7 (c) -0.05 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 5*a - 25, -2*a = s + 3*s - 18. Let k(r) = r - 5. Let o be k(s). Let h(n) = -5*n**3 + n. What is the units digit of h(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 81 = -25. Let g = 20.7 + -20. Let l = 0.7 - g. What is the closest to m in -2\/7, l, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123 - -369. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1489 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32865220 is divided by 61.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 17*c - 4*q + 2 = 0, 3*c + 5*q = 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = x + 2*x, -3*d + x + 23 = 0. Suppose 0 = d*b - 809 - 1023. What are the prime factors of b?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + 5d927?\nAnswer: 5d931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 2*n + 63 + 12*n**2 - 34.\nAnswer: 12*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(539)*4)**2 + sqrt(121)\/(sqrt(66)\/(sqrt(6) + sqrt(216))).\nAnswer: 7*sqrt(11) + 8624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 323*g**2 + 7750*g - 44. Give k(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5200)\/39)\/40)\/((-4)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1232 and 1694?\nAnswer: 13552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -671*g + 153*g = -21756. Let t be (-2 + 0)\/((-3)\/24). Suppose 2*s - t = 5*u + 23, -4*u - 40 = -2*s. Calculate the lowest common multiple of g and s.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 7:17 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 10. Let n(o) = -o**2 - 8*o**2 + 0*o**2 + 10*o**2. Calculate s(n(l)).\nAnswer: -2*l**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 195.38?\nAnswer: 58.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10705*y**2 - 382 - 58*y + 10703*y**2 + 106 = 0. Calculate y.\nAnswer: -23, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggg. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 t, and 1 v when three letters picked without replacement from tvtfttfgffg.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*j - 4*n, n - 19 = 48*j - 45*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 5 - 3)*(-6*j - 2*j + 2*j) + (-6 + 2 + 3)*(-3 + 3 + 2*j) + 1 - 1 - 2*j as m + g*j and give g.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -152410.55226 - -233018.5525. Let c = -80612 + r. Let d = c + 4. Round d to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/6 - (-15 - 5599\/(-242) - (-40)\/(-10)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.81084 and -98?\nAnswer: 95.18916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -2*p + b, 3*p + 4*b - 12705 = -12643 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 + 25)*(((-168)\/441)\/((-3)\/(-117)) - -6).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 3*c**2 - 4*c - 4. Let b be q(4). Let d = -1 - 0. Let u be (-1)\/(d - 38\/b). Is 0 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyq when three letters picked without replacement from qyyqiaqqytaeqea.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 0.5, -3\/14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538866 divided by -6?\nAnswer: -89811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -4*h**2 + 0 + 0*h**5 + 1\/60*h**6 + 0*h + 0*h**3 + 1\/12*h**4. What is the second derivative of u(r) wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -101, -119, -135, -149, -161?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-six fifths of a millisecond?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lul when three letters picked without replacement from ulllllllllulllllll.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1b7d4 (base 15) to base 7\nAnswer: -522001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 760, 762, 766, 772, 780, 790?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3682276 or -3682277?\nAnswer: -3682277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1434214 (base 7) to base 15.\nAnswer: -3c541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 14*i**5 - 18*i**4 + 204*i**3 - 552*i**2 + 798*i - 498. Let u(v) = v**5 + v**4 + 2*v**3 - v**2 - v - 1. Let m(b) = -s(b) + 12*u(b). Factor m(p).\nAnswer: -2*(p - 3)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2 - 6)*(-389*b - 71*b + 21*b).\nAnswer: 4390*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/7 (b) 15\/4 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 73 = 9*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k + 5. Calculate y(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22 - ((14 - 9) + -26)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 165730 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j - 71 = 84. Suppose -j*c + 1366 = 726. Calculate the greatest common divisor of 176 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, p: 1, i: 3, q: 1}. Give prob of sequence fii.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 13*g**2 + 4*g - 13. Calculate the remainder when 232 is divided by u(13).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7700.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67.166*7.\nAnswer: -470.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/11 - -17\/22. Let l = -0.2 + -0.1. Put 4, w, l in descending order.\nAnswer: 4, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*p = 3*o + 27, -o = -4*p + 13. Let t = 9 - o. Solve 2*c - 4 = t*s, s + 3*s = 2*c + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 18*s**2 - 32*s + 6. Determine d(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34319\/5 - -14516882\/2115. Find the common denominator of n and -45\/7.\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42350 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314124 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1489 - 365*l + 1092*l - 363*l - 363*l in the form k*l + j and give j.\nAnswer: 1489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175 + 383*y**3 + 12*y + 61*y + 175 wrt y.\nAnswer: 2298*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1278 + -1273. Suppose 4*r + 3*q = 6*q + 4145, 2*q - 5210 = -5*r. Suppose -5*a + a - 4160 = f*d, -3*d = -a - r. Round a to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 - -254. Let r = z - 126.99897. Round r to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9529444l in millilitres?\nAnswer: 952.9444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w + 2*w - 3*w)*(20 - 3 + 17).\nAnswer: 306*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -582 - -545.9. Let p = -35.6 - h. What is the fourth smallest value in p, 0.1, -2\/3, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b - 1464 = 88*b + 10*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*o - 4*o. Let i(w) = 11*w - 22. Let x(t) = -6*t + 11. Let h(z) = 4*i(z) + 7*x(z). Let k be h(8). Solve -5*n = -5*y + k, 5*y + 4*n + o = 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 - (4 - (-1883)\/(-21)). Let v = 5 + 12. What is the greatest common factor of n and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**6\/120 + j**5\/12 - 3*j**2. Let i be w(5). Which is bigger: 8\/7 or i?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2. Let v(m) = m + 6. Let c be v(-5). Let w be 2\/4*2*c. Let f(s) = -w - s + 1. Determine i(f(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*v**2 + 7 + 27 - 59 - 40 wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 15 = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 81 - 41 = 0. Suppose 8 = 3*r + r. Let x = -113 - -109. Put p, x, -2, r in decreasing order.\nAnswer: r, -2, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-3)\/6)\/(6\/(-3))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0220540666 rounded to five decimal places?\nAnswer: -0.02205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -0.3603 (b) -0.4 (c) 10 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from waoiaowowaiwawiowwo. Give prob of picking 3 i.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135*f**3*w**3 + 2*f**2*w**2 + 2*f*w**2 - f - 3*w**3 + 588*w wrt f.\nAnswer: 810*f*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -381 equal to -296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2233*v**3*z**3 - v**2*z**2 - 45*v*z**3 + 2*v*z wrt v?\nAnswer: -13398*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 20*c - 1. Let r be p(-10). Let u be r\/3*(-120)\/8. Let x be (u - 3)*-1*-1. Solve -x*v + v = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 134, 10, -110, -226, -338?\n\"Answer: 2*x**2 - 130*x + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 6*i**2 + 4*i - 7. What is j(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3341751291 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + l + 324 = -l. Calculate the remainder when l is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-3 + 8\/3). Suppose -4*y + k*y = d + 2, -2 = 5*y + d. Suppose -2*u - 6 = -3*u. Solve n - 3*n - u = y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + -0.09. Let d = 0 + l. Which is the smallest value? (a) 1\/10 (b) d (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -54, -107, -170, -237, -302, -359, -402?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.36 + -0.954187.\nAnswer: 8.405813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w + 162 = -52*w. Which is the second smallest value? (a) 0 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1462 - -446?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2. Let b(r) = -213*r. Determine b(t(j)).\nAnswer: -213*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215490642 at least 1215490643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 25 = -y, -3*l - 3*y + 8 + 1 = 0. Suppose l*a + 5*s - 206 = 3*a, -4*a + 2*s + 192 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1279, -2866, -4475, -6106, -7759?\nAnswer: -9434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4 = g, 2*g = -5*a + 5*g - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -563900*c**2 + 3*c - 30962.\nAnswer: -1127800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 38708632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + 1 + 6*(1*sqrt(108) + -1 - sqrt(108) - sqrt(108) - 5*-3*sqrt(108)))**2.\nAnswer: -4032*sqrt(3) + 762059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/6*2\/15\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3\/7, -5, -3, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 481 - 801. Let m = r - -456. Calculate the remainder when m is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 156, 2\/3, 21, 11, 2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 - 103. Suppose -3*c = -5*b - 11, -c - 3*c + 2*b + 10 = 0. Suppose k*v = -c*v + 48. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -173.\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86838.\nAnswer: 2, 3, 41, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 0 + 1\/3*o**3 + 0*o**4 + 0*o**6 + 0*o**5 - o + 0*o**2 - 1\/14*o**7. Find the second derivative of i(f) wrt f.\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/97273 and 43\/2629?\nAnswer: 97273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1644 divided by 178260.\nAnswer: 137\/14855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 26*m = -24. Find the common denominator of ((-4)\/18)\/(8\/(-34)) and (34\/255)\/(m\/118).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -3*f - 4 - 3, 5 = 5*p + 3*f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from ywwyxrxocoxorx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2795 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34\/27 - -2891\/216. What is the common denominator of 81\/56 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (121\/(4235\/(-42)))\/(1\/(-2))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from {e: 2, a: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y - 216 = 20*y + 54 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 4*h + 4. Let k(l) = -3*l**2 + 80*l - 85*l + 1 - 5. Determine -4*k(r) - 5*q(r).\nAnswer: 2*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 4 - u - u - 14 + 54 - 89.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219 = -606*r + 557*r + 1202 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*r - 7*r + 16, 4*r = -5*m - 12. Suppose 0 = -3*i - 5*t + 253, -r*t + 0*t + 265 = 3*i. Let b = i + -24. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 15 = 21*q. Let n = q + 39. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71218, 142471, 213724?\nAnswer: 284977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 513513 (base 6) to base 15\nAnswer: c243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l = 12*l - 2*t + 10, 3*l = -5*t + 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**18*q))\/(q*q**(-38))*(q*q\/(q\/q**39))**(-1\/10) assuming q is positive.\nAnswer: q**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366958039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 10 = -5*x - 3*z, 5*z + 22 = 3*x. Suppose 2*v + 7 = o, -3*o + v = -x*v - 16. What is the units digit of -13*(-2 - (o + 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 35941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 8:23 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -134\/9 (b) 12 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-2))\/(4\/(-14776)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 16*l**2 - 19*l + 24. Let c be i(17). Let h = c - -13. Suppose 0 = -h*v - 4*d + 367, -3*v = -0*d - 4*d - 383. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1865485 rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47357 is divided by 118?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**5\/17 - 10*g**4\/17 - 14*g**3\/17 + 10*g**2\/17 + 12*g\/17 = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3\/2 (b) 2\/15 (c) 1\/100 (d) 30.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 5) + (8 - 14 - 7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 638 * 33\nAnswer: 21054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -604\/579 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-1 - (-17 - -22)) + (2 - -2)) - 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17670 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f - 702989 - 1922608 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g - 73*g + 4339224 = 0. List the prime factors of g.\nAnswer: 2, 20089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9764534?\nAnswer: 2, 13, 375559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45850 and 32750.\nAnswer: 229250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -4. Let o = w + 1.1. Let i = 32 + -30. Are i and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -137571 - 1672?\nAnswer: -139243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/15, 7, -5, -1009.\nAnswer: -1009, -5, 2\/15, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -122.6 - 36.4. Let r = 158.9999 + s. Round r to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 74460 = 21*o. Let l = -17129 - o. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (186\/(-30))\/(145917\/(-78450)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17868 is divided by 167?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8561904?\nAnswer: 2, 3, 13, 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/8 (b) 0.4 (c) -4 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*w**3 + 942109*w**2 + 60319469?\nAnswer: 96*w**2 + 1884218*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 235 - 134. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 216 + -215.9. What is the closest to 0.04 in -0.2, p, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -295*v**3 - 1389*v**2 + 23121*v + 39 wrt v.\nAnswer: -1770*v - 2778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdmm when four letters picked without replacement from {d: 3, a: 3, m: 7, f: 1}.\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*w - 25*w - 18*w**2 - 26*w + 2*w**3 to the form n + o*w**3 + d*w**2 + h*w and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23458057 divided by 6?\nAnswer: 23458057\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4648\/(-892416))\/((-11)\/16)?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -927, -1447, -1963, -2475?\n\"Answer: 2*p**2 - 526*p - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 35*f + 3. Let o = 4 - 1. Let g be n(o). Let l(h) = h**2 + 2*h + 4. Let a be l(-4). What is the highest common divisor of a and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (324\/90)\/6*(-5)\/(-165)*5.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -1960.\nAnswer: -9\/1960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - d + 1. Let y(f) = -5*f**2 + 14*f - 5. Let u(l) = y(l) + 4*z(l). Suppose 3*h - 1 = 20. Is 10 a factor of u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.9 + -24.89934. Round x to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r*(r**(-5)*r)\/r)\/r*r*r*r)\/r))\/(r**5\/r)*(r\/r**(-1))**(-28))**15 assuming r is positive.\nAnswer: r**(-840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67312240 * -0.2.\nAnswer: -13462448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-10)*n)\/n)\/n*(n**6*n)\/n*(n\/n**(-11))\/(n\/(n**(-8)\/n)*n))**(-41) assuming n is positive.\nAnswer: n**164","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7 = 4*s, -s + 8 = -p + 5*p. Suppose -2*g = 2*k + p*g + 11, 3*g + 15 = -4*k. Let i(h) = 2 - 4 - 5*h + 3*h. Determine i(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*f = -20, 53*w - 113*w = -56*w + 13*f - 89 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9754 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - ((-4390)\/(-1235))\/(266\/1729).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 32*t**2 + 8*t + 10. Let b(l) = -l**2 + l + 1. Give 8*b(m) - x(m).\nAnswer: -40*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v*v\/((v\/(v**(-8)\/v)*v)\/v))\/v))\/((v**(1\/24)\/v)\/v*v))\/(v**(2\/15)*v)**(1\/54) assuming v is positive.\nAnswer: v**(32197\/3240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 1 - 6. Suppose -3*v - 6 - 89 = 5*x, -5*v = 5*x + 175. What are the prime factors of (v - g)\/(6\/(-4))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*q**2 + 2 + 5*q**2 + 2*q + 10*q**2)*((-4*q - q + 4*q)*(0*q + q - 3*q) + q**2 - q**2 + q**2 + 1 - 1 + 3*q**2 - 5*q**2 + q**2 + q**2).\nAnswer: 12*q**4 + 6*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22019699363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/4*(-512)\/(-96). Suppose 0 = 10*m - p*m - 68. Suppose 56 + m = 5*b. Calculate the lowest common multiple of b and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*h**2 - h**3 + 450 - 405*h**2.\nAnswer: -h**3 + 450","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285821.94 months to years.\nAnswer: 23818.495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1491 by -71.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 3*l + 105. Suppose 2 = -a + o, -o - l = -2*a - 4*o. Suppose -4*c = -5*f + 46, 0 = -2*f - 4*c - a - 1. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 360 = -9*w. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**2\/2 - 150102*d - 3755101734 = 0.\nAnswer: -50034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*o + 336, 4*x + 2*o = 920 + 406. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20 - (16 - -22)) + 21. Solve -2*p - 3*b = -6*p + 6, 0 = -s*b - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8371 is divided by 604.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 308, 0.3, -0.4 in descending order.\nAnswer: 308, 4, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/22 and ((-213)\/(-42))\/(30\/7)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.8 * -4\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.9 + 27.3. Let z = -650\/11 + 3889\/66. What is the fourth smallest value in z, -1, -0.05, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, a: 6, q: 9}. What is prob of sequence qqa?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 3*w - 13, -2*w + 4*s = 9*s - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 11*c = 16. Calculate the greatest common factor of 52 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141.4 - 141.6. What is the closest to 0.43 in f, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2834388 (base 11) to base 8\nAnswer: 22475524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(-26)*s)\/s)\/(s**24\/s)*((s*s*s**(2\/17)*s)\/s)**(-1\/23) assuming s is positive.\nAnswer: s**(-18804\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f - 13*f)*(f**3 - 4*f**3 + f**3) - f**4 + 334 + 39 + 119.\nAnswer: 25*f**4 + 492","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52151952?\nAnswer: 2, 3, 47, 23117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 63\/14*(1 - -1). Are t and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7647175 to the power of 1\/2, to the nearest integer?\nAnswer: 2765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 23*v**2 + 2*v + 21. Calculate b(-23).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 - 5*c**2 + c**3 + 33 + 42249*c - 42253*c. Let l be p(8). Put l, 65, -1 in increasing order.\nAnswer: -1, l, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.460647 nanoseconds?\nAnswer: 0.000005460647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (23 - (-1072)\/(-48))\/(0 - 2). Sort 4, h, 3\/4, 0.5 in increasing order.\nAnswer: h, 0.5, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -399889 and -59?\nAnswer: 23593451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - z - 18, c = -14*z + 9*z - 6 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 3*h + 4. Let p be m(-4). Let s(l) = -33*l - 35*l + l**3 + 19 + l**2 + 68*l. Is s(p) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -388a2 (base 15) to base 8\nAnswer: -541133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from rbb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/36*2)\/(((-323)\/(-17))\/2622)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 1. Let b(n) = n - 1. Let l be 2\/20 + (-465)\/150. Let h(r) = -r**3 - 3*r**2 + 4*r - 4. Let z be h(-4). Determine l*b(m) + z*y(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -3 - ((-2)\/(-10))\/((-69)\/28635)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + n**2. Let t(k) be the second derivative of 0 + 17*k - 1\/3*k**3 - 1\/2*k**2 - 5\/12*k**4 + 3\/20*k**5. Calculate -5*a(x) - t(x).\nAnswer: 2*x**3 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 0, -1, 3, -7, 5 in increasing order.\nAnswer: -7, -1, 0, 3, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 7\/12*w**4 - 1\/20*w**5 + 7\/2*w**2 - 5\/6*w**3 + 0 + 28*w. What is k(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 9:07 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -75, -147, -219, -291, -363, -435?\n\"Answer: -72*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 9) to base 16\nAnswer: 3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 3:13 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*h + 56 + 158 = -62 - 98 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 9 - (-36 - -29 - (1 + -7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + sqrt(242) + sqrt(242))*5 + sqrt(16)\/sqrt(128) + 2*sqrt(2)*5)**2.\nAnswer: -481*sqrt(2)\/2 + 231369\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -998*y + 15 - 16 + 843*y to the form o*y + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3743042738?\nAnswer: 2, 1871521369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*a = -62*a + 156. Solve -a*n - 20 = -6*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2488*-5.\nAnswer: -12440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 324 + -394. Let n = 69.7 + y. Which is the closest to 1? (a) 5 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 11:30 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z + 1. Let l be b(-3). Is (l - -14)*(-16)\/(-6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-38)\/(-42) + -3 + 5 + -3. What is the closest to f in 2\/5, -3, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19 - -5)*10\/(-4). Let f be (1 + 0)*(-4 + 33). Let l = g + f. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, t: 1, b: 1, y: 1, z: 1, i: 1}. Give prob of sequence tiyb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 8*h**2 + 16*h + 6. Suppose 170*t = 182*t - 84. Determine q(t).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxwpxxxwpgx. What is prob of sequence gpx?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 a factor of 11677212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by (-90)\/35*(-14)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/101, 2\/37, 20\/3 in descending order.\nAnswer: 20\/3, 2\/37, 2\/101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611555343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43230335 - 23353335. Round a to the nearest 100000.\nAnswer: 19900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctiliyllilycll. What is prob of sequence ilcc?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(9072)*1 - sqrt(9072)) + sqrt(9072) - -2*sqrt(5103))\/((sqrt(9) - 2*sqrt(576)) + sqrt(36)\/sqrt(4)*2)*5.\nAnswer: -150*sqrt(7)\/13 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*1 + 0 - -2. Suppose 8*v + 4*c + 16 = 12*v, 3*v = -5*c - 4. Suppose k*x = g + x - 75, v*g = 3*x + 160. Is 29 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 309734947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35330950181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {b: 1, s: 9, q: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -754981 or -754986?\nAnswer: -754986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -279 + 283. Solve -4*i + 15 = 5*j, 5*i - z*j - 16 - 13 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95694.53 rounded to the nearest 10?\nAnswer: -95690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106400317.26999963 + -106400318. Let h = 0.73 + f. Round h to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in -0.5, 0.3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 12, -15, 99686 in decreasing order.\nAnswer: 99686, 12, 5, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42, -220, -710, -1668, -3250, -5612, -8910?\n\"Answer: -26*u**3 + 4*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - 19. Let p be (-2)\/g + (-5)\/15. Put p, -3, -0.6 in descending order.\nAnswer: p, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*j - 200, 8*j = 18*f - 22*f + 252. What is the remainder when 7017 is divided by f?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u - 3*u**2 + 2*u**2 + 3*u**2 to the form v*u + s + w*u**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*n*p**2 + 259060*n - 12*p**4 - 6*p**2 + p with respect to p.\nAnswer: -56*n*p - 48*p**3 - 12*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 4*x - 5. Suppose -5*u + 23 = -3*a - 11, 32 = 3*u + 4*a. Calculate the lowest common multiple of q(-7) and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*o + 28, 2*o - 1 = 2*q - 7. Solve 2*s - 3*s = -q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 22*y**2 - 2*y. Let f(m) = -2 - 70*m**2 + 2 + 131*m**2 - 57*m**2. Calculate f(v(x)).\nAnswer: 1936*x**4 - 352*x**3 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-8))\/((-1)\/(-4)). Suppose 8*s = 9*s - 72. Let o = 147\/2 - s. Which is the closest to 1? (a) o (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**3 - 2*k - 17. Let y(s) = -14*s**3 - 9*s - 69. Calculate 18*w(p) - 4*y(p).\nAnswer: 2*p**3 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475814 is divided by 2530.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) + 3 + 5 - sqrt(209)\/(sqrt(11)*4) - (2*sqrt(171) + -3*sqrt(19)*-2))**2.\nAnswer: -1080*sqrt(19) + 118497\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-98)*-2*1*3. Sort 1\/3, y, 5, -5 in descending order.\nAnswer: 5, y, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.4, -149?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2 - 1074*q + 2. Let t(g) = -3*g. What is t(u(r))?\nAnswer: 9*r**2 + 3222*r - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8027 not equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 4. Let u(h) = h**2 - 1. Let c(v) = v**2 + v - 1. Let f(y) = 14*y**3 - 30*y**2 - 2*y + 3. Let p be f(4). Let z = 413 - p. Determine l*u(i) + z*c(i).\nAnswer: -i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 42. Let j = p - 15. Suppose 0 = 4*i + j - 63. What is the remainder when 35 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3300) + 3*sqrt(3300) - sqrt(99)\/sqrt(3)*3)\/((sqrt(12) - sqrt(108))*-1*-5))**2.\nAnswer: 15059\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c**2 + 101 - 52 - 31 - 18.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 26. Calculate the remainder when (-18)\/(-3) + 80 + -12 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 9*x**2 - 71*x + 1015. Determine m(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 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: What is the square root of 2705827080 to the nearest integer?\nAnswer: 52018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + c = -0*l, 22 = 2*l - 4*c. Let m be l\/(-2) - 6\/(-4). Is 17 a factor of (m - -35) + 0\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17519677 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let z(d) be the third derivative of d**5\/30 + d**4\/12 - d**3\/2 - 5*d**2. Let k be z(-2). Let q(x) = -4*x**3 + 10*x. Give k*q(f) - 10*i(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**3\/5 - 10134*b**2\/5 - 255369*b - 2513178\/5 = 0.\nAnswer: -3247, -129, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175*y**2 - y + 174*y**2 + y to the form d + h*y**2 + i*y and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1067 divide 8031309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269294, 268882, 268470, 268058, 267646, 267234?\nAnswer: 266822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*k**4*n + k**2*n*r - 57*k**2*r**2 + 2*k*n*r**2 + 4*k*n - 3*k*r - 7*k - 3*n*r**2 wrt k?\nAnswer: -420*k**2*n + 2*n*r - 114*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/15*9)\/(32\/240).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -1 - 2\/3*o**6 + o**4 + 0*o + 4\/5*o**5 - 4\/3*o**3 + 0*o**2. Factor a(g).\nAnswer: -4*g**2*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - 3.02. Let f = -397 + 1984\/5. Which is the second biggest value? (a) k (b) 2\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*g = -29*g - 7308. Let h = -278 + g. Round h to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 5*q + 5. Let u = -79 + 107. Let r be u\/(-10) + (-40)\/200. Let v be 7 + (-4 - (1 + r)). Let d(t) = -t**3 - t + 1. Give v*d(f) - l(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = k - 394, 3*q = k + 130 + 262. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -200, -3, 2 in increasing order.\nAnswer: -200, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + -11 - (-50 - -60)) + -17?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 0 (c) -0.5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from bffbvffbniirbbbbr.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -1)*3 - (-4 + sqrt(17) + -2) - ((2*sqrt(51) + sqrt(51))*2)\/(sqrt(108)\/sqrt(4)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4224 and 35778688?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(1\/4)*q)\/q)\/q)\/q**5)**36 assuming q is positive.\nAnswer: q**(-171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 3*d**2 - 8*d - 10. Let c be x(-4). Let k be (c + 2 + -4)*4. What is the highest common divisor of 144 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66266 + 66268. Factor -3*i**s - 1\/2*i**3 - 4*i + 0.\nAnswer: -i*(i + 2)*(i + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 245870 and 45.\nAnswer: 11064150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6900*a**2 - 537*a wrt a?\nAnswer: 13800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1 + 25 - 11 - x. Calculate t(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**2*v**5 + 1153*g**2*v**3 + 19*g**2 + g*v**2 - 2*v wrt v.\nAnswer: 60*g**2*v**2 + 6918*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 4651\/6, -0.1.\nAnswer: -3, -1, -0.1, 4651\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2240994 divided by -1631\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*d + 123, -7*k + 33 = -6*k + d. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(15\/6) + 17. Let x be z*((-8)\/(-6) - 1). Suppose 13 = x*c - 2. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = 2. Suppose 0 = -3*b + 2*b - a*s - 2, 3*b = s + 29. Let x = b + -3. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 473*u**3 + 475*u**3 + u - 380*u - 951*u**3 to the form x*u**3 + c*u + m + h*u**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 115145856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 8. Suppose -u + 0 = 5*k - 33, 4*k - 30 = u. Suppose s*p = 2*p + q + k, 5*p = 4*q + 14. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y**3 + 22*y**3 + 60*y**3.\nAnswer: 59*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0 = 15. Solve -4*r = 17 - t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/25 + 4\/(-140))*-1. What is the nearest to 1 in -0.5, g, -0.09?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 31. Suppose -4*h = 3*m + 7, 2*h = -4*m + 1 - 7. Is (6 + m)*(d + 9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26, 25, 32, 53, 94?\n\"Answer: u**3 - 2*u**2 - 2*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*((sqrt(1053) - (3 + sqrt(1053) + sqrt(1053)))*6 - sqrt(1053)).\nAnswer: 86 + 315*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 0*h**2 - 74 - 6\/7*h**3 - 3\/28*h**4 + 0*h. Let x(f) = 0. Calculate f.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**3\/4 - 16855*z**2\/4 - 3549030*z + 3553245 = 0.\nAnswer: -1686, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5021\/15 + 335. Suppose 0 + n*i + 2\/3*i**2 = 0. Calculate i.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*1266.4\nAnswer: -253.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2829.784 litres?\nAnswer: 2829784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20021 + -1001222022?\nAnswer: -1001202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 192938315\/372 + -518651. What is the common denominator of m and -53\/6?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94.7 - -90. Round v to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-90)\/21)\/(2\/(-14)). Let m = 45 - o. What is the remainder when 43 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a. Suppose a*m + 24 = 6*m. Suppose l + 3*l = 2*u + m, -u - 5*l = 16. Let r(x) = -x**2 - 4*x + 6. Determine r(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3969659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000 + 2311?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(1 + -1 + sqrt(1216)) - (0 + 5*sqrt(1216)*-2))*4 + -5)*2)**2.\nAnswer: -20480*sqrt(19) + 19923044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29021, 29039, 29059, 29081, 29105, 29131?\nAnswer: 29159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**7\/280 + i**6\/120 - i**3\/2 + i. Let f(m) be the second derivative of x(m). Determine w so that f(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3923*h**3 + 3837*h**3 - 7762*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x**2. Let u(d) be the third derivative of d**4\/12 - 11*d**2. Determine z(u(s)).\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 3*n**5\/10 - n**4\/12 + n**3\/6 - 2*n - 2. Let d(x) be the first derivative of u(x). List the prime factors of d(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-75)\/360*-18)\/((-2)\/(32\/(-3))). Solve -w*s + 25*s = 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 19350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 426 divided by -1016\nAnswer: -213\/508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from ekzkrrze?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43970.61 millennia?\nAnswer: 43970610","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155\/124*2\/(-15)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -399 - -354. What is the units digit of 299 + (4\/(-18) - (-215)\/n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/13? (a) -23.8 (b) -1\/7 (c) -3 (d) -1.5 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 38*a**2 + 16*a + 2. Let z be -1 + -5 + 7 + -4 - 4. What is the units digit of g(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b**3 - b**2 + b - 1. Let l be k(1). Let v = 1 - l. Let m = 8 + v. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63 in 2\/11, -2\/5, 0.05, 1\/413, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(190)*-5 - sqrt(190)*-2*6)\/(sqrt(640) + sqrt(640) + (sqrt(640) - 1*(sqrt(640)*-2 - sqrt(640))) + -1*sqrt(640)*-2 + sqrt(640) + sqrt(640)) + 3.\nAnswer: 27*sqrt(19)\/80 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.989*-79\nAnswer: 78.131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/5 - 1439217*q**2 + 14392161*q\/5 - 7196079\/5.\nAnswer: 3*(q - 2398693)*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1655984 divided by 16\nAnswer: -103499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -a, -y + 3*y + 2237 = a. Let j = -659 - y. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 - ((-12)\/(-42) - (-19)\/7). Let s be (-1)\/(18\/p - 4\/(-14)). Let q be (-1)\/(-3)*(-1 + s) + 9. Is 7 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2691555 != -2691557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*f + 84*f = -16606. What is the smallest common multiple of 115 and f?\nAnswer: 4370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31855 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 + -5 - 9)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09978 and -86.\nAnswer: 8.58108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.2717228 + 10.3.\nAnswer: 7.0282772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 11*f**2 - 6 + f**3 + 8*f - 18*f**2 - 3. Give s(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -2516*t**5\/5 - 2000*t**3\/3 - 2075. Find the third derivative of m(w) wrt w.\nAnswer: -60384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12*v. Let i(u) = -9*u + 288. Let k be i(32). Let m(g) be the second derivative of 17*g + k*g**2 + 0*g**3 + 5\/12*g**4 + 0. Calculate m(o(w)).\nAnswer: 720*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 61*j**3 - 6 - 2*j - 7 + 9 in the form y*j + l + n*j**2 + a*j**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5225 - 451 + 789 + k in the form b*k + d and give d.\nAnswer: -4887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h - 21765 - 21769 - 2*h + 43534 - h - 4*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 - 4*b**2 - 2*b + 2. Let y be q(3). Is 1419\/7 - (-4)\/y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11540*q - 259 - 202 + 4293*q + 461.\nAnswer: -7247*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (9 + -4) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2299) - sqrt(2299))**2 + sqrt(19)*1 + -3.\nAnswer: sqrt(19) + 57472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*2\/(-4) + 252\/(-14). Is k\/(-27)*1506\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 269, 5, 25, 9.1 in descending order.\nAnswer: 269, 25, 9.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 207*f**2 - 25 + 9 + (f**2 - 2*f**2 + 3*f**2)*(2 - 4 + 0) + f**2 + f**2 - 4*f**2 + 4*f - 4*f - 3*f**2 to the form d*f + k + a*f**2 and give a.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 - 215*g + 48. Is 4 a factor of h(73)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 36*d**2 + 4302*d + 101. Let l be m(-50). Let g(v) = -v**2 + 2*v + 4. Let n be g(4). Which is the nearest to -0.2? (a) 0.03 (b) l (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**7\/15 + 2*z**3\/3 - 12*z**2. Differentiate l(b) wrt b.\nAnswer: 56*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0434 - -0.4434. Which is the closest to 2\/11? (a) -4 (b) -9 (c) 3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (800\/70)\/10*14\/4. Suppose 4254 = s*g + 3*h, 18*g - 22*g = -4*h - 4268. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 18*b - 5970. Let v(i) = -30*i + 2. Determine v(g(p)).\nAnswer: -540*p + 179102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2230.056 + 2222. Let g = 29 + -21. Let a = g + u. What is a rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1346048 + 687248. What is f rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h**5\/4 + 13691*h**4\/4 + 14901*h**3\/4 - 53759*h**2\/4 - 14737*h - 1005 = 0. Calculate h.\nAnswer: -2, -1, -3\/41, 2, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 - -8035.6.\nAnswer: 8035.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/4))\/u**(-9\/5))\/(u**(-8)*u*u**(-1\/3)*u) assuming u is positive.\nAnswer: u**(563\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 - 33*r**2 - 25*r + 5. Determine b(-16).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*t + 66, 0 = 3*t - 0*j + 2*j + 84. Let o = 4 + t. Let x = 47 + o. Calculate the remainder when 81 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -2 + -9 + 1 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57322.98 - 57805. Let d = i + 435. Let w = d + 47. Sort w, -0.1, 4 in ascending order.\nAnswer: -0.1, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*c**2 + 11 - 11 + (-4*c + 2*c + 0*c)*(c + 0 + 0) - 8*c**2 - 7*c**2 + c**2.\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-6)*(-36)\/(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*((3 - -4) + -6). Let y be 8\/(-20)*(9 + d - 13). Solve -y*k + 6 = -3*m + k, 5*k - 20 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*a + 48 = -73*a. Solve a = 4*t - 4*o, -6*t + 2*t + 2 = 3*o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2181362245 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-4 + 9\/2). Let k be (c\/(-2))\/((-21)\/651). Let a = 37 - k. Solve a*p + 8 = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + d + 16, 4*r = -4*d - 667 + 683 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 - -62. Let x be (0\/(-3))\/(18\/(-6)). Put d, 13, x in ascending order.\nAnswer: d, x, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1236.\nAnswer: 1\/1236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + (-189)\/(-49)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m - 3. Let h(p) = -p - 1. Calculate a(w) - 2*h(w).\nAnswer: -6*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-61)\/((-68198)\/(-258)))\/((-3)\/2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2742 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 110\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 9*g - 30. Suppose -5*q - 19 + 107 = -4*l, -5*l = -q + g. Calculate the remainder when 91 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 12. Suppose -l*f = f. Which is the nearest to 2\/5? (a) 2 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -9 - (-13 + (8 - 4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edodvvelndvv. What is prob of picking 1 o and 3 d?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -383, -1511, -3391, -6023?\n\"Answer: -376*f**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 1 b when three letters picked without replacement from bggxbogbxbgobgbbxgog.\nAnswer: 49\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-11 - (-4 + -2 + 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15335 - 5?\nAnswer: -15343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a + 68*a + 10*r = 26*a + 12*r + 38, -5*r = -a + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let r = -0.5 + 0. Let a = 492.5 + -492.7. What is the smallest value in a, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*a = -2*a + 2655. Solve -19*x = -a*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjjtjxfjxjxjxftffxtt. Give prob of picking 1 j and 2 f.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*j + 122, 2*j = -31*b + 35*b - 432. Is 53 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -29\/2*x**2 + 0*x**3 - 13*x**4 + 0*x - 6. Find the second derivative of t(l) wrt l.\nAnswer: -312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -12*w - 90. Let t be p(-10). Solve 18*a - t = 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (143 - 143 + 20*a**2)*(-16107 + 16107 - 24*a) to u + x*a**3 + w*a + q*a**2 and give x.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-15 - -25 - 23).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.03, 5, -4\/65, 7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*x - 6. Suppose -7402 = -x*l + 2174. Suppose 4*k + 5*k = l. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7578 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = -5*g, 0 = b + 2*g - 4*g. Let h be b\/(-12)*9*(-4)\/(-6). Let m be 1*h*(-8)\/8. Put m, -4, 1, 28 in decreasing order.\nAnswer: 28, 1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47580110?\nAnswer: 2, 5, 17, 279883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 0 - (-1 - -2). Suppose 3*j = -d*j - 6. Calculate the common denominator of j\/9 - (-2107)\/(-252) and 85\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c33 - 1?\nAnswer: 3c32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -51*(28\/(-6))\/7. What are the prime factors of -2 + (-1 - -1) + a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 6*o + 5. Let y be z(-6). Suppose 4*r = 2*r - s, 4*r = 2*s - 8. Let a = 4 + r. Solve 9 = -u + a*x - 8*x, -5*x = y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - a + 19. Let b be x(0). Let r be (9\/(-3) - -2) + b. What is the common denominator of (r\/(-44))\/(3\/(-7)) and -17\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41450 * 0.02.\nAnswer: -829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 9*z**2 - 25)*(3*z**2 - z**2 + 3*z**2) + (2*z + 0*z + 0*z)*(z**3 + 0*z**3 - 3*z**3) + (-4*z - z + 0*z)*(-3*z**3 - z**3 + 6*z**3).\nAnswer: -59*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4746 - 5643. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 13*j + 14. Let o be q(13). What is the second derivative of o*a - 10*a + a**3 + 0*a**3 wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n**2 - 252*n - 928. Give h(-27).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/17342 and -73\/57362.\nAnswer: 745706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, x: 4, l: 2, g: 1, p: 1}. What is prob of sequence oxl?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 1 = -5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppttp. What is prob of sequence tpt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-44))\/((-12)\/16)*(-96)\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1998)\/(-333)*(-1)\/(8\/(-44))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/7504480 and 33\/16864?\nAnswer: 7504480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5500 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7197020 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 3. Let u(p) = p**2 - 4. Calculate 4*q(v) + 3*u(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**5\/4 + 7955*p**4\/4 + 10641*p**3\/4 - 76907*p**2\/4 - 39795*p\/2 = 0.\nAnswer: -10\/3, -1, 0, 3, 2653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**3 - 483*b**2 + 19197*b + 19683 = 0.\nAnswer: -1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 1 - 2 + 2*y - 1. Let j be s(3). What is the second derivative of p**j - p - 2*p + 5*p + 3*p wrt p?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-4))\/1*2. Let p(g) = 1. Let k(v) = 7*v - 2. Let b(z) = -k(z) - 6*p(z). Let t(i) = 4*i + 2 + 0*i + 0. Calculate x*b(d) + 5*t(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p = 0. Suppose -n + 2*n = p. Suppose -4*s + 3*i + 134 = n, 2*s = -2*s + i + 130. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 8:04 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 5 = -b, 414*r - 3*b = 417*r + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-128))\/((-39)\/12*(-11230)\/(-14599)).\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 + 23*q**2 + 9*q - 22. Let g be 11\/2*((-2 - 0) + 0). Let l be y(g). Solve 1 = f - l*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -13\/21 (b) 1\/4 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 5 = 3*i + 29 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p**2 - 102*p - 3. Let v(l) = -2*l**2 - 51*l - 1. What is -2*t(g) + 5*v(g)?\nAnswer: 2*g**2 - 51*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -0.06, -5\/76, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*477\/(-189) - 4*(-81)\/(-36).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44187*i - 125 - 121 + 350 - 104.\nAnswer: -44187*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = 5. What is the remainder when 11 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -56*g - 73. Let i(a) = -28*a - 36. Let r(n) = -7*i(n) + 3*v(n). List the prime factors of r(7).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 6*z - z**2)*(-2 - 3 + 4) + (z - 4*z + z)*(27*z - 34*z + 23*z) - 2*z**2 + 0*z**2 + z**2.\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_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: Let c = 2 + -2. Let m(d) = d**3 + d + 3. What is m(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 0 - 1\/12*l**4 + 0*l**6 - 1\/56*l**8 + 0*l**7 - l + 0*l**2 + 0*l**3 + 0*l**5. What is the third derivative of s(k) wrt k?\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**4\/12 - 3*r**3 + 25*r**2\/2 - 5*r. Is 17 a factor of i(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {y: 8, f: 1, g: 2, s: 5}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136753.\nAnswer: 136753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 24, 5, -16.\nAnswer: -16, -3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 + 4*q**2 + 2*q**2 + q**2 + 4*q**2 - 2*q**2 + (-5 - 2*q + 5)*(-2*q + 3*q - 2*q) + 11*q**2 + 1 - 1.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 580 - 577. Suppose -l + 3 = -10. Solve -f*x = -l + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/(sqrt(4)*-1) - sqrt(42))\/(sqrt(6) + sqrt(18)\/sqrt(3)*6) - (-2*(sqrt(252) + 1) - (3 + 1 + sqrt(252))))**2.\nAnswer: 1488*sqrt(7)\/7 + 15628\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.3368424 to 1 decimal place.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 15 = -5*g, -2*a + 4*g = 2*g - 6. Suppose 5*o - 67 - 13 = a. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 7) to base 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 44*d**2 + 165*d - 1170. Calculate s(47).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -38*y + 2. Let i be j(-5). Let w(u) = -3*u**2 + 110*u - 269. Let f be w(35). Let l = f + i. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329308546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -1 - (977 + -925 + (2 - 7)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-9)*z)\/z)\/z*z)\/(z**(2\/3)*z)*z\/(z**(2\/7)\/z)*z*z\/(z*z**(-3\/5)*z) assuming z is positive.\nAnswer: z**(-877\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 - 4 - (-15 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*s = 18, -5*x + 2*s - 33 = s. Find the common denominator of (-426)\/48*2\/4 and -3 - (3 - 2)\/x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -851962 (base 10) in base 6?\nAnswer: -30132134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5411*m**2 - 1471*m**2 + 463*m**2.\nAnswer: 4403*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*d - 2682 = 3*d - 425. Solve -d*h = -10*h - 135 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 5*d - 4. Let s be m(4). Suppose -4*n - 4*b = -11 + 3, 0 = -3*b. Suppose s = 5*k + n*h, -k - 2*k - h + 1 = 0. Solve 4*l + 14 = k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/30*(-10)\/4. Let t be (-4)\/1 - ((-1010)\/(-2))\/(-5). Suppose -l*j + 155 + t = 0. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -8. Let s = 105 + -105.59. Let m = s + -10.41. Which is the smallest value? (a) 0.1 (b) j (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -39\/404935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**3 + 13*i**2 + 2*i - 21. Let p(l) = 17*l**3 - 51*l**2 - 9*l + 82. Determine 9*f(g) + 2*p(g).\nAnswer: -2*g**3 + 15*g**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.588 and -6.9.\nAnswer: 86.8572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2423002399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 36*g + 31. Give n(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-42))\/((-350)\/1960)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10520243021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1494 and 83\/240.\nAnswer: 59760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 81*v**3 - 171*v**2 + 87*v.\nAnswer: 3*v*(v - 1)**2*(v + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, z: 2, g: 6}. Give prob of picking 2 h, 1 g, and 1 z.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - f = 2, -f = u - 4*u + 6. Find the third derivative of -11*z**4 - 22*z**2 + z**2 - 14*z**u - 15*z**4 wrt z.\nAnswer: -624*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/35)\/(8\/5).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 + -128. Let w(a) = -a**2 + 15*a - 10. Let z be w(m). Solve -z*d + 15 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168686281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, l: 3, w: 7}. Give prob of picking 1 w and 3 l.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*k**3 - 75*k**3 + 37*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41372478, 41372479, 41372480, 41372481?\n\"Answer: z + 41372477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**2\/2 + 15*v - 3. Let r be w(15). Solve -5*i + 2*i - 12 = r, 5*a + 7 = 2*i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/(3\/4). Which is the nearest to 3? (a) 0.1 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a hour in seconds?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 174112843*w**2 + 1016385075.\nAnswer: 348225686*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + sqrt(17) + -2 + sqrt(17) + (5 + 1 + sqrt(612))**2.\nAnswer: 74*sqrt(17) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 - 76.75. What is c rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 807732 and 702?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**2 + 4272960*z - 72641765 = 0. Calculate z.\nAnswer: -854609, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178 + 175. What is the tens digit of t\/(-4)*-4*-141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338612 divided by -334653?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 = -2*o, 7*o + 6 = n + 2*o. Let k = -10 - -1. Let q be (12 + k)\/(0 + -7). What is the second smallest value in -2, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.3 (b) -1\/3 (c) 2 (d) 171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231912410 by 81145.\nAnswer: 2858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -2) + (1 - -1). Suppose v*t = -5*f - 2*t + 6, 5*f - 4*t = -26. Let m be f\/6 + (-30)\/(-9). Solve m + 7 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 253 and 943?\nAnswer: 10373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - s - 51 = 0, 616*s - 630*s = o - 56 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -73*q**4 + 0*q**3 - q**5 + q**3 + 72*q**4 + q**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500 and 78375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/((-182)\/4)*(-49)\/35. What is the closest to 2 in -11, k, 9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 2 + 6 + -9\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, -3, 1\/3, 3, -1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n - 503*n**4 + 0*n + 2*n**3 + 2*n**2 + 505*n**4 to the form y*n**4 + c + t*n**2 + x*n**3 + d*n and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jggjl. Give prob of picking 1 l and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*m**4 + 91*m**3 + m**2 + 480*m + 3666746?\nAnswer: 16*m**3 + 273*m**2 + 2*m + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 432929935 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 b(d) = d**3 - 6*d**2 - 12*d + 30. What is b(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1156 in 2, 1\/3, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7191?\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.06, 2.62, 482 in increasing order.\nAnswer: -0.06, 2.62, 5, 482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4 - 15 + 3 + 12 - 19*j. Let w(t) = -360*t + 75. Give 4*w(a) - 75*z(a).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 108026719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 421967008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 461.7 - 462. Which is the closest to k? (a) 0.2 (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzx when three letters picked without replacement from {z: 4, x: 1, e: 1, v: 3, w: 4}.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 40428*a - 25 = -40423*a, -7*k = -3*a - 38 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-37)*z)\/z)**13\/(z**25*z*z**(-20)*z*z*z*z))**4 assuming z is positive.\nAnswer: z**(-1964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3792032?\nAnswer: 2, 163, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 8 - 8 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w + 6 = 0, -5*w - 13 = x. Let s be x\/(-1) + (-128)\/(-68). Let y = 0 - 1. Which is the closest to 2\/7? (a) s (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -1\/4664 (c) 2\/11 (d) 4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) - (-21)\/(-6). Let p be n - (-1)\/((-4)\/96). List the prime factors of (p\/(-15))\/3*45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 24. Calculate the remainder when 27 is divided by r(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1448, -1440, -1432, -1424, -1416?\nAnswer: -1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 1. Let y(q) = -1. Let i(g) = b(g) - 2*y(g). Determine i(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 149155 - 7*c + 149155 + c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 86.4, 5\/3, 15 in descending order.\nAnswer: 86.4, 15, 5\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 742 and 1624?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*j - 31 - 4, 5*q = -4*j + 175. Suppose -192 = -2*g + 106. Suppose q = 4*u - g. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5341 (base 7) to base 10.\nAnswer: -1891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**7\/630 + k**6\/360 + k**5\/180 - k**4\/72 + 2*k**2 + 4*k. Let m(v) be the first derivative of l(v). Factor m(c).\nAnswer: -c*(c - 1)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 2*q**2 - 12*q - 6. Let m be z(-5). Let n = 116 + m. Which is the second smallest value? (a) -2\/5 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**3\/6 + x**2\/2 + 8*x. Let n(h) = 5*h + 3. Determine -n(k) + 3*t(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684*b = -736*b + 1827 - 371. Solve -25*c = -b*c - g, 4*c = -2*g + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175 - 119. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232, -199, -164, -127?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6824210 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -18*i**3 + 5*i**2 - 15*i - 5. Let g(d) = -17*d**3 + 6*d**2 - 17*d - 6. Calculate 5*g(y) - 6*q(y).\nAnswer: 23*y**3 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)\/(j\/j**(-6\/7)))**(-4\/5) assuming j is positive.\nAnswer: j**(248\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0948 - 3.9052. Which is the smallest value? (a) -126 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 - 1299*w\/2 + 139778.\nAnswer: -(w - 188)*(w + 1487)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8946708 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10738, 42375, 94904, 168313, 262590, 377723?\nAnswer: 513700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 134.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 581.12 + -581. Sort 9, h, -4\/3 in decreasing order.\nAnswer: 9, h, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-216)\/(-126) - 1\/((-14)\/4). Suppose 0 = -c + b*c - 135. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izizi. What is prob of sequence iii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-594)\/66*(-668)\/(-4509)*(-6)\/40\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -356250503?\nAnswer: 356250465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 585 = -180*a - 3237 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 7*a**2 + 4. Let j be x(7). Let f be (-3)\/(-1 + 58\/64). Suppose -s - n + j = -4*n, 3*s - f = -n. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 3078.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51120 + 0?\nAnswer: -51120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1773243 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 + -137?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -25*v - 44. Calculate w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81200 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 1, 2, -27, 4, -4 in decreasing order.\nAnswer: 4, 2, 1, -2, -4, -6, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321 - 625 + 293 + 296*u + 2*u**3.\nAnswer: 2*u**3 + 296*u - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15661 - -3331?\nAnswer: -12330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 + 92. Let q be 136\/22 + (-2)\/f. Solve -u - 2 = -q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3081671 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: What is the value of (1\/((-20)\/(-8)))\/(9\/(-45))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23699831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.20174 plus -6440?\nAnswer: -6400.79826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**3 - c**3 + 4 - 5*c**3 - 3*c**3 + 0*c**3 + 2*c**3 + (-1 + 1 - 2*c**2)*(0*c + 2*c + 0*c).\nAnswer: -7*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 276657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -36*c**2. Let d(j) = 24 - 9*j**2 - 24 + 7*j**2. What is y(d(h))?\nAnswer: -144*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - 2. Calculate h(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*q = -55, -3*w - 9 - 27 = 2*q. Let p be (-18)\/(-28) + 7\/w. Let t = -1\/7 + -3\/28. What is the nearest to -1 in -1\/2, t, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52527\/140 - 2626\/7. Let l(g) be the second derivative of -3\/4*g**4 + 14*g - c*g**5 - 2*g**2 + 0 - 4\/3*g**3. Calculate l(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -181 + 347. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1501 = 218. Let m = j + -3459. What is m rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/13 and (6\/(-40))\/(1*6\/356).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5\/3 + 309424*y**4\/3 + 12060496892*y**3\/3 + 2383029231840*y**2 + 4753998379350*y + 2374989210000 = 0. What is y?\nAnswer: -77055, -600, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**9\/30240 + x**8\/3360 - x**4\/4 + 33*x**2. Let u(d) be the second derivative of o(d). Factor u(t).\nAnswer: -t**3*(t - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - j**3 - j**3 - j**3 + 0*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-3) + (-4)\/(-3). Suppose -5*n + m = -263, 0*n = z*n - 3*m - 259. What are the prime factors of n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49 in 4, 2, -11435?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.023*0.14.\nAnswer: -0.00322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 62812176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -19*p**5\/15 - p**4\/24 + 8*p**3\/3 - 291*p**2. Find the second derivative of k(t) wrt t.\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*-2*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46082, 46301, 46520, 46739?\nAnswer: 46958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22994763 to the power of 1\/2, to the nearest integer?\nAnswer: 4795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5240102126?\nAnswer: 2, 7, 374293009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 1) + 17 + -9 + 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10356 and 3?\nAnswer: 10356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(272\/(-119)))\/14\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2924*n**3 - 473*n + 473. Let f(m) be the third derivative of 37*m**6\/120 - m**4\/4 + m**3 - 795*m**2. Give 473*f(w) - 6*i(w).\nAnswer: -43*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13820.73 + -1437420.73. Let g = v - -1423599.79999968. Let b = g - -0.2. Round b to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292466 is divided by 73113.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 1835550*v**2 + 168138668685*v + 59412461435360.\nAnswer: 5*(v - 183731)**2*(v + 352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6450365 is divided by 5907?\nAnswer: 5828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.24 (b) 0.04 (c) 0 (d) -1\/5 (e) 1 (f) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1265 and 5439247.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v = -9. Calculate the common denominator of (6\/4)\/(v\/21) and 61\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*o**4 + 14819*o**3 - o**2 + 463569*o?\nAnswer: -120*o + 88914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 3) + (0 + 12)\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 + -135. What is the closest to 4\/3 in -1.1, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000578817382 to 7 dps.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2947*t - 76572. Give d(-26).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.15 and -273?\nAnswer: -586.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 5, q: 4, g: 1, t: 1, a: 2}. Give prob of picking 1 a and 1 q.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-12 - -5 - -7) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - q - 1. Let j(g) = 2*g**2 - 5*g - 1. Suppose -5*s + 4 = -1. Let z(h) = s*j(h) + v(h). Suppose -5*m - 22 + 47 = 0, -10 = -t - m. Give z(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 (base 13) in base 9?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p*p**3\/p)\/(p\/p**(2\/3))**(-17) assuming p is positive.\nAnswer: p**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/6 + (-31)\/(-6). Let q = 7 - i. Solve -4\/5 + 0*n**4 + 8\/5*n**3 - 2\/5*n**5 + 4\/5*n**q - 6\/5*n = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6210 - 6198. Suppose -3*p - l = -122, -164 = 2*p - 6*p - l. What is the remainder when p is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*y**4 + 3*y - 51 wrt y?\nAnswer: 104*y**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153)*-2)\/sqrt(9) + sqrt(17))*-3 - (-5 + (sqrt(425) - sqrt(425)*-2))) + (-2*sqrt(68)*-2 + sqrt(68))\/(sqrt(448)\/sqrt(7)) + -5.\nAnswer: -43*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + k + 289, -4*i - 888 + 655 = -k for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*s + 634, 17*s + 5 = 18*s. Which is smaller: 613 or x?\nAnswer: 613","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**4\/6 - 30*t**2. Let f(x) = -12*x. Give f(m(z)).\nAnswer: -48*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -j - 7*k + 7, -4*j + 39 = k. Let b be (-7720)\/30*(j\/(-4) + 1). Suppose -h = 5*f - b, -5*f - 4*h + 0*h = -374. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5334*z**2 + 5*z + 21. Let w be c(11). Let v = -3735338 - w. Round v to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3))**(6\/13))**(-48) assuming z is positive.\nAnswer: z**(192\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235557946 to the nearest integer?\nAnswer: 15348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15717 - 1?\nAnswer: -15718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580547797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000088768673 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a (base 14) to base 10.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**11)\/d**11 assuming d is positive.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1173341*l**2 + 2092900.\nAnswer: -2346682*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c + 135 + 6*c**2 - 124 - 7*c**2. Suppose -2*r - 40 = -5*x - 4*r, 3*x + 4*r - 24 = 0. Let q be b(x). Solve 1 = q*o + 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.155, 3, -2\/5, -4.5, 0, -0.04?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 16) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -25*g - 146. Determine k(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/72)\/((-30)\/9)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -a + 4*u + 4, -a + 4*u - 2 = 0. Suppose 2*g + 20 = a*g. What is the third derivative of 3*q**5 - q**g - 3*q**5 - 3*q**2 + 2*q**2 wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 - 19*u - 17. Let k be t(6). Suppose 0 = k*z - 33 - 6. Factor -3\/7*r**z - 6\/7*r**2 + 6\/7 + 3\/7*r.\nAnswer: -3*(r - 1)*(r + 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*t - 1 + 23, 0 = 3*s - 5*t - 34. Let h(g) be the third derivative of -g**6\/120 + g**5\/30 - g**4\/24 + g**3\/6 + 2*g**2. Calculate h(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 59 = 143 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 36 = 2*d - 5*d, -36 = -3*d + 5*j. Let s be -3*(-22)\/d - 3\/(-6). Solve s*a - 3*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254 divided by -2.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 - 2 = 0, -3*z - 318 = 2*x. Find the common denominator of (-16)\/4 + z\/144 and 55\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/53 or 0?\nAnswer: -18\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -819 + 849. Solve 2*r = 8*r + l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 13*y**4\/24 - y**3\/6 - 2*y**2. Determine a(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50532 - 50524 + 101051 - 23*s**2 + 7*s**3 in the form u*s**2 + i*s + d*s**3 + z and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b8 + 9d9?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 142440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/515 and -32\/25?\nAnswer: 2575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 10*j + 9. Let p(r) = r**2 + 2*r - 2. Let t(k) = -5*p(k) - s(k). Let g(b) = b. What is t(g(m))?\nAnswer: -4*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 196351017 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-1\/5)))\/(x\/(x\/x**(-15)))*x**(-1\/13)*x**(2\/3) assuming x is positive.\nAnswer: x**(3079\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from yrirkiyrrykyrrriyyyk?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 757 greater than or equal to 758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4510 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 24*i**4 - 13*i**4 + 12*i**4 - 2*i**3 - 2*i + 49*i**4 as x*i**3 + f + l*i**4 + r*i**2 + j*i and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(320))\/(sqrt(20)\/sqrt(20) + sqrt(4)) - (2*(1 + sqrt(80))**2 + -1))*-1.\nAnswer: 8*sqrt(5) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42.11225546 + -53.\nAnswer: -10.88774454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 22 = 3*d, -d = -4*o + 2*o - 2. Calculate the remainder when ((-28)\/(-5))\/(2\/10) is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from sdsssdddddpdddddssds?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:01 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 30*s + 6 = -27*s, 6 = -t + 3*s. Suppose 4*a + a = 205. Sort t, a, 4.\nAnswer: t, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-11) + (-138)\/(-33). Let h(t) = 8*t + 3. What is the units digit of h(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - 2) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, v: 3, a: 4, p: 1}. What is prob of picking 1 v and 2 r?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 15*w**2 - 55*w + 4. Let u be g(-7). Let k = 0.12 - 0.42. Which is the fourth smallest value? (a) k (b) 4\/3 (c) 0.5 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84687 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 10:20 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 13*i**5\/20 + 11*i**4\/3 + 49*i**3\/6 + 9*i**2 + 2*i + 687. Suppose g(p) = 0. What is p?\nAnswer: -18\/13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.83 - -11.4. Let k = x + -0.07. Let v = 0 - 0. What is the biggest value in v, k, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9708771754268 + 0.4.\nAnswer: -9708771754267.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32956657.\nAnswer: 467, 70571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122 and 70516.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004351 to five dps.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-81) - (-335)\/9. Calculate the highest common divisor of j and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*v**2 - 7*v + 8*v - v.\nAnswer: 324*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + n - n + 1 + n**3 - 1 + (1 - 1 + 1)*(-n**3 + 2*n**3 + 0*n**3) - 8*n**3 - 10*n**3 + 13*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2*(5 + -1 + -3). Suppose -d + x*q + 106 = 0, 5*d + 5*q - 209 = 246. Let f = 1442\/15 - d. Which is the third smallest value? (a) f (b) 0 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -18*t - 38 - 57 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 47\/2, 0.05?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(0 + 2\/1). What is the smallest value in -1\/7, c, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brb when three letters picked without replacement from kkvvvkkvkbrvbppk?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/2*12\/16. Suppose 2*u + 3 = 9. Suppose l + 13 = u*c + 2*l, 0 = 3*l - 3. Solve -v = -c*v - x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**3 + 11*w**2 + 11*w + 11. Let p(o) = -o**3 + o**2 + o + 1. Give -2*k(x) + 22*p(x).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/32 and ((-702)\/12 + 8)\/(5*2).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31 - 8*g + 27*g + g**3 + 50*g - 6*g**2 - 6*g - 27*g**2.\nAnswer: (g - 31)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35.747309 and 599085.\nAnswer: 599049.252691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/4 (b) -150 (c) -3 (d) -91 (e) 8 (f) 7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101110101101 + 110101000?\nAnswer: 1111110101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 330022*r - 22771517. Determine c(69).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -0.216, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**4 - 21592*a**3 - 17*a**2 + 331701820*a wrt a.\nAnswer: -12*a**2 - 129552*a - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, u: 8, k: 2, s: 3, y: 2}. Give prob of sequence yspu.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -264, -1\/3, -1, -2\/6911?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 431842*o**2\/17 + 863682*o\/17 - 4\/17 = 0.\nAnswer: -2, 1\/215921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 7*m - 3. Let b be t(6). Let h = -1630 - -1635. Solve h*q = b*v + v + 3, 0 = -4*q + 4*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*a - 215 = 0, -21*u = -20*u + 2*a - 42. Is 20888\/12 - (-4 + u\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2. Let v(z) = 38*z - 153. Let h(w) = -18*w + 68. Let i(a) = -5*h(a) - 2*v(a). Determine i(u(x)).\nAnswer: 28*x**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w + 1. Let h(g) = -96*g - 30. Determine 4*h(q) + 120*x(q).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 221652 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 65551.19 kilometers?\nAnswer: 6555119000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2*n + 4*n**3 + 5*n**4 + 0*n**4 + 4 - 3*n**3 as m*n**2 + i*n + l*n**4 + y + k*n**3 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 826186 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -3a48?\nAnswer: -3a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1520214 - 4054?\nAnswer: 1512120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*c*n**3 - c*n**2*p + 91*c*n*p - 5*n**3*p - 92*n**3 wrt p.\nAnswer: -c*n**2 + 91*c*n - 5*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(3159)*-2)\/(-1*sqrt(3)*1*2).\nAnswer: 5 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -161, 4, 6329 in decreasing order.\nAnswer: 6329, 4, -2, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 995041266.\nAnswer: 2, 3, 1553, 106787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**13*w\/(w**3*w)*w*(w*w**(1\/8)\/w*w*w)**(-1\/3) assuming w is positive.\nAnswer: w**(247\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 91*t**5 + 6*t**2 - 7*t + 14. Let s(b) = -272*b**5 - 17*b**2 + 20*b - 41. Let r(p) = 17*c(p) + 6*s(p). What is the second derivative of r(a) wrt a?\nAnswer: -1700*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -29. Let i be 5\/(-42) - 1\/6. Sort -3, i, -0.1, p.\nAnswer: -3, i, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 325*i - 21. Let h(p) = 24*p + 1. What is 3*h(l) - v(l)?\nAnswer: -253*l + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 19 = -d, 0*i - 9 = 4*d - 5*i. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, s: 7}. What is prob of picking 3 s?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/528 and 53\/286.\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 15*q**2 - 27*q - 16. Let f be v(-13). Let j be (f\/12)\/(1 - -52). Is -1 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from {j: 2, h: 1, x: 1, b: 2, i: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/3777 and -47\/21403?\nAnswer: 64209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/6 + 0)*(4 + 2). Suppose -260 = -4*y + 3*k, -2*y = -u*y + 5*k + 195. What are the prime factors of y?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*g - 26 = -167*g. What is the highest common factor of g and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 98?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17161.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3) + 4 - (1 + 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -672*m - 21. Suppose -3 = 16*q - 13*q. What is the units digit of p(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 624?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = 4*h - 4, n + 3*h + 2 = 0. Suppose -n*k + 55 = -69. Calculate the remainder when 182 is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.0557 - -0.0557. Sort -2, 1, f in decreasing order.\nAnswer: 1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2.5. Let n(r) = -4*r**2 + 4*r - 2. Let i be n(2). Let d(z) = -z**2 - 10*z + 2. Let y be d(i). What is the closest to 1 in x, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*-0.2\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/17835 and 86\/5582355.\nAnswer: 5582355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/18 and -4\/2631?\nAnswer: 15786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 301*a + 3. Let c(l) = 291*l + 2. Determine -4*c(w) + 5*f(w).\nAnswer: 341*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2 + 560. Let f(y) = -9*y. Calculate b(f(g)).\nAnswer: -243*g**2 + 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**5 + q**4 + q**3 - 1. Let i(m) = -17*m**4 + 63*m**3 + 1. Let n(f) = i(f) + v(f). Factor n(a).\nAnswer: a**3*(a - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 1\/5*f**5 - 8*f**3 + 159*f**2 + 0 + 63\/8*f**4 + 0*f. Factor b(g).\nAnswer: 3*(g + 16)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2763 + -2740. Solve 35 = 12*q + i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*j = 78*j - 57. Solve -j*v = -58*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rraru. Give prob of sequence ur.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2994*p + 1 - 1 - 3371*p.\nAnswer: -377*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.98, 0.6, -10, 0.5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -152 + 242. What is the highest common factor of 315 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -709710 or -709805?\nAnswer: -709710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -44.54 at most -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgt when three letters picked without replacement from {c: 8, g: 2, t: 5}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.63331865 to four decimal places.\nAnswer: 0.6333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1085*m**2 - 47*m - 46. Determine k(-1).\nAnswer: 1086","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 13*m**2 + 322*m + 1969. What is p(-23)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-734)\/4)\/(57780\/1347). Let s = g - -1\/12840. What is the common denominator of s and 143\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2*v. Let r be w(-9). What is the greatest common factor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30681442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134507\/18 - 7466. Suppose -16113 = -3*d + 3*p, d - p - 10747 = -d. Let l = -118181\/22 + d. Calculate the common denominator of h and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34033 (base 5) to base 13.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*u = -0*f + 1, -5*u + 5 = 0. Which is bigger: 1\/1086 or f?\nAnswer: 1\/1086","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(7\/(42\/(-6)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 18*o = -28*o. Solve 2*g + 2*r - 18 = o, 2*g - 7*g = -4*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 7:28 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10086 and 171462.\nAnswer: 171462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1695, 12078, 40197, 94920, 185115, 319650, 507393, 757212?\n\"Answer: 1478*s**3 + 37*s + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 7 - 2*d + 4 + 34 + 3 + 4*d + 30.\nAnswer: 2*d + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225996, -451924, -677814, -903648, -1129408?\nAnswer: -1355076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -s + 2*n + 359, -2*n = -5*s + 1816. Let f = 619 - s. List the prime factors of f.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -922 = -15*t - 877 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/27 - 2\/(-9). Suppose n = 3*j + 6 - 30. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 12*r**2 + 15*r - 13. Let q be (-1)\/(-2) + 175\/14 + 0. Let m be c(q). Solve 2*b - m = -3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -7)*2\/(-20)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 32 (c) 2\/7 (d) 2\/29 (e) 1\/8 (f) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61 + -225?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 15*n**2 + 431. Give y(-16).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 298980 and 14?\nAnswer: 2092860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 149625 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 833040332 to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 937897507?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35521996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32004 and 501606.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbdd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 5 = 7*j. Let t(s) = -2*s + 12. Let o be t(j). Is -2 - -59 - (o - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -340.\nAnswer: -4080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 8*y = -22. Let z = 13 + -1. Find the common denominator of -17\/6 and (y\/(-12))\/(8\/z).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 11*f - 176. Suppose 0*t - t - 2*v = -20, 0 = -2*t - 5*v + f. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 65, 60, 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 460*w + 455.\nAnswer: 5*(w - 91)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3120 = -3*v + 3507. Suppose 5*a = v - 754. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3 = 2. Let i be (-2 - 0\/(-2)) + y. Let b(t) = t**2 + 2*t + 4. Give b(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*5*(-24)\/(-36))\/(6\/(-9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222632 and 72148?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 21*h + 94. Let b(a) = -a**2 + a - 3. Let v(k) = -3*b(k) - t(k). Let y be v(-22). Solve -y*p - 14 = -2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.8 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*1 - ((-1500)\/1350 - 2020\/45).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16879833 - 16879142.9821. Let t = 0.0179 - p. Let a = t - -689.99661. What is a rounded to four decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**4 + 2*p**3 + p**2 - 4*p. Let q(l) be the first derivative of l**2\/2 + 11. Let d(r) = -2*h(r) - 4*q(r). Solve d(m) = 0 for m.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 686, 1293, 1900?\nAnswer: 2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrqqqrbqrqqqqq. What is prob of sequence rrb?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**2*r + 528*b**2 - 148*b*r - 247297*r wrt b?\nAnswer: -2*b*r + 1056*b - 148*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 8507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -18 + 1 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45648 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 4*o**2 + 5*o + 2. Let m be f(-3). Sort m, 0, 2 in increasing order.\nAnswer: m, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.31 and 16219.\nAnswer: 16214.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669*a - 79*a = -1496 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -879788 by -219947.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(108)*1 + sqrt(108))*5)**2 - ((-1 + sqrt(192))**2 + (sqrt(9)\/sqrt(3) + -1)**2).\nAnswer: -2982*sqrt(3) + 11228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -7920013100031.\nAnswer: -7920013100029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 132230 (base 13) in base 12?\nAnswer: 1a326b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -v - 2*v, -w + 2*v = -14. Let s be (-3)\/4 - (-88)\/32. Let p(u) = 9*u**2 + 0*u + 3*u + 2*u - 10*u**s. Calculate p(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.211246 rounded to three dps?\nAnswer: 1.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873 = 23*i - 804 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -2*k**6\/3 - 149*k**4\/4 + 1132*k**3 - 4344. What is the third derivative of b(n) wrt n?\nAnswer: -240*n**2 - 894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148314 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -39. Let w = i + -11. What is the smallest value in -4, -5, -1, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1511*k + 756*k + 758*k - 75 - 69 = 0 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b. Let n(h) = -13*h**2 - 8*h - 183448. What is y(n(u))?\nAnswer: -91*u**2 - 56*u - 1284136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -83, 267, 1213, 3055, 6093, 10627, 16957?\n\"Answer: 50*o**3 - 2*o**2 + 6*o - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8378 + 9*i + 8378)*(0 + 0 + 2*i).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 - 96. Suppose 0 = d*a - 4*a. Solve -w = -5*j + 12, a = 4*j + 7*w - 3*w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**3 - 3*p. Suppose 72*n = 55*n - 153. Let k(t) = 7*t**3 + 7*t. Calculate n*r(a) - 4*k(a).\nAnswer: -a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0552*18.\nAnswer: 0.9936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-48)\/40)\/((-3)\/(-10)). Sort t, 0, -11 in increasing order.\nAnswer: -11, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 10. What is the remainder when ((-86)\/129)\/(1\/(-12)) is divided by l(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 16*k - 8. Suppose -m = 4*m - 4*y + 21, 4*y = 4*m + 20. Let w be m\/3 - 387\/(-27). What is the units digit of o(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + sqrt(288) + -2).\nAnswer: -12*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10108 is divided by 481?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 217 - 139. Suppose -3742*u + 3735*u + 189 = 0. What is the remainder when c is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -38. Solve -20 + 5 = -q*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(-10\/7)*(y\/(y\/(y\/(y*y**(-1)\/y))))\/(y*y\/(y*y**5)*y) assuming y is positive.\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 q when three letters picked without replacement from qqbbggqzqug?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -13. Let k = j - 4.4. What is the second biggest value in k, 2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, t: 2, q: 1, a: 1, f: 1, r: 1}. What is prob of sequence ra?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88.4 + -113. Let x = -25 - z. Sort -3\/10, x, -4.\nAnswer: -4, x, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 69*v - 550. Let c be g(-47). Calculate the greatest common divisor of c and 3509.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 42984580*f**2.\nAnswer: 5*f**2*(f - 8596916)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2. Let m(g) = 1387040*g**2. What is m(q(j))?\nAnswer: 1387040*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49532040 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, f: 1, g: 1}. What is prob of sequence gf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 5:53 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52806?\nAnswer: 2, 3, 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 2. Let i be 4 + (2 - -4)\/(-3). Let c be r(i). Suppose c*s = s + 3. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 935\nAnswer: -10285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 6. Let g be ((-12)\/(-42))\/((64\/14)\/4). What is the closest to g in -2\/5, 4, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1.5. Let o = a + -7.5. Let i = 9.35 + o. Round i to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112510 rounded to the nearest one thousand?\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461 divided by 9?\nAnswer: 487\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21045 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -323?\nAnswer: 322.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1416812 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-24) - 1*(-2)\/8. Solve 5*h + 3*q + 32 = x, -3*h + 3*q = 5*q + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10504*z. Let n(g) = -g**2. What is n(c(q))?\nAnswer: -110334016*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3126148, -6252293, -9378438, -12504583, -15630728?\n\"Answer: -3126145*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 480.1 + -525.1. What is the smallest value in m, -2\/11, 5, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - t)*(-5*t**3 + 0*t**3 + 3*t**3) - 12701*t**2 - 2900*t**4 + 12701*t**2.\nAnswer: -2898*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3188086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.0021 - -21. What is o rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 + 98. Let y = -178 + p. Which is the nearest to 2? (a) 0.1 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.264 (c) -2 (d) -5 (e) -2\/15 (f) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 19 = -2*g, -3*g - 2*u - 17 = -47. Solve -4*y = -g*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96799472 and 41888.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*l + 24, 4*z = -20 + 8. What are the prime factors of ((-54300)\/90)\/((-2)\/l)?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(162) - ((-1 + sqrt(162) - sqrt(162)) + sqrt(162)) - sqrt(162)) + -2 - (sqrt(162) - (-4 + sqrt(162) + 2))))**2.\nAnswer: 1944*sqrt(2) + 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-11*(-1626)\/2981?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Let w = 0.016 + 2.984. Which is the closest to 1? (a) w (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97871 = 88*b - 99367 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27362431163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -18. Suppose 1 = -5*j + y, 7 = -4*j + n*y + 2. Suppose 3*r + 86 = 5*h, 4*h - 4*r - 70 + 6 = j. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/21 and -34\/291.\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37.8 + 37.9. Sort 1\/9, 4, k, 3.\nAnswer: k, 1\/9, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 965 - 19291\/20. Let f = 7139\/20 - 357. Let v = f + k. What is the common denominator of -57\/8 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b + 137. Let l be j(-29). Is 15 a factor of (198\/l)\/(4\/28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2. Let k(g) = -12*g**2 + 27*g**2 - 27*g**2. Calculate k(q(h)).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(99) + (sqrt(99) + 1*sqrt(99) - sqrt(99))))\/sqrt(3))\/(sqrt(1584) + 4*(sqrt(1584) - 2*sqrt(1584) - sqrt(1584)) - sqrt(1584)).\nAnswer: sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a. Let m(o) = 228*o**2 - 4*o + 534. Let b(r) = 12*c(r) + 3*m(r). What is the derivative of b(i) wrt i?\nAnswer: 1368*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94563485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35090459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k - 2*k + 2*k + 7*k in the form t*k + g and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -787*i + 13336 + 4765 = 0 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:50 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292 divided by -191.\nAnswer: -292\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-806)\/(-52))\/(3\/(-2)). What is the third biggest value in v, 2, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-16)*z**21*(z**(-1\/3))**44 assuming z is positive.\nAnswer: z**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3 - 8632*r**2 - 4691300*r - 36980000 = 0. What is r?\nAnswer: -1075, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*c + 3 - 6*c)*(-2 + 0 - 10)*(c + 0 + 0).\nAnswer: 36*c**2 - 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -60. Let y be ((-2)\/(-6))\/((0 + 3)\/54). Let n(p) = -6*p + 17. Let r(c) = 2*c - 6. Let q(b) = x*r(b) + y*n(b). Let t(u) = 8*u. What is q(t(d))?\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 4, 0 in descending order.\nAnswer: 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = -n, -5*s = -5*n - 20. What is the second derivative of -1 - 8*w - 13*w**2 - 5 + s wrt w?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 3*x + (-x - 4*x + 4*x)*(-3 - 1 + 2) + 12 + 4*x - 6 - 4.\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 9:03 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-9) - 4\/(-3). Let x be (-3)\/(-6) + (-2)\/4. Suppose x*p + p = 16. Calculate the highest common divisor of g and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -63*j**2 - j. Let z be n(1). Let x = -44 - z. Suppose -2*t + 6*t = 2*f + 58, 4*f = -2*t + 4. Calculate the lowest common multiple of x and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7497 and -0.4?\nAnswer: 7497.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*n - 1080 - 1763 = 90*n + 592 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 3*v**2 - 3*v - 8. Calculate h(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 321 and 31434?\nAnswer: 3363438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3224521 by -3.\nAnswer: -3224521\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5 + 588*w**4 - 57624*w**3 + 1882384*w**2 = 0. What is w?\nAnswer: 0, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4 - -3) + -3 - 6) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 16*u**3 - 11*u**2 - 5. Let c = 4689 - 4700. Let j(a) = -3*a**3 + 2*a**2 + 1. Give c*j(h) - 2*t(h).\nAnswer: h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 5*n - 26, 81*n + 18 = -2*o + 85*n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Calculate the greatest common factor of 167448 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p - 30*p + 4*p + p + 15*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = 55*j + 2635 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2*v = -5*q + 8, 2*q + 5*v = -12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 10*j + 27. What is s(-4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**5\/60 + b**4\/3 - 2*b**3 + 3*b**2. Let y be c(6). Solve 2*k = -2*l - 3 - 1, -5*k + 4*l - 28 = y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-72)\/54*282\/(-4). Let u = 158 - g. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 128 and 1.56275?\nAnswer: 200.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 - 6*z + 13. Let x be s(-4). Let c(p) = -p**2 - 12*p - 11. Suppose l - 36 = 5*l. Let m be c(l). Solve x*a = 5*q + 3 + 17, m = -4*q + a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (14 - (-21 + 45 + -130 - (14 + -1)))\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44290 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: Find the second derivative of -5463*x**3 - 6927*x wrt x.\nAnswer: -32778*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.12. Let x = -0.036 + -2.964. Sort 1, v, x.\nAnswer: x, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*g = -335 - 99, 446 = 3*c + 4*g. Let n = -76 + c. Is 3 a factor of n\/(-7)*(-7)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/p)**(-3\/8)*p**(1\/28)*p**6\/p*p*p assuming p is positive.\nAnswer: p**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 5\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. What is the closest to -0.6 in s, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 636632*d**2 + 25331268964*d.\nAnswer: 4*d*(d + 79579)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = r, 4*r + 3*m - 5 = -0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1775, -3569, -5369, -7163, -8939, -10685, -12389, -14039?\nAnswer: -15623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -0*y. Let u(x) = x. Determine u(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**2\/2 - 21*j - 4717. Let r(z) = 2*z**2. Calculate o(r(k)).\nAnswer: -2*k**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 56860, 67147, 77444, 87757, 98092, 108455?\n\"Answer: o**3 - o**2 + 10283*o + 46577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 11*o = 832. Let d be o\/(-210) - 4\/42. Let l = -0.5 - 3.5. Sort d, -3\/4, l in ascending order.\nAnswer: l, -3\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 + -1.1. Let s = -85 - -84.6. Which is the smallest value? (a) s (b) -5 (c) 2\/7 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-14) - (-3)\/2. Suppose c*k + 3*j + 4 = 0, 7*j + 10 = 2*j. Is k\/4 + (-6)\/(-8) + 162 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2))**3\/((f*f**5)\/f*(((f**(-1\/4)*f)\/f)\/f)\/f)*(f\/(((f*f**1)\/f)\/f))**(-48)\/((f\/(f*f*f**(-8)*f*f*f))\/f**(2\/7)) assuming f is positive.\nAnswer: f**(-1693\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56376\/(-380538))\/(2\/(-351))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26094 + 14.\nAnswer: -26080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-22) - (-96)\/528.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54354 divided by -6.\nAnswer: 9059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 99\/2. Let u be 210\/(-340) + 16\/136. What is the closest to u in 2\/17, k, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 + -114. Let r = 61 - i. What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*b = 284, 4*o + 33*b = 32*b + 272. What is the least common multiple of o and 927?\nAnswer: 21321","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t - 15. Calculate x(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16466?\nAnswer: 2, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5623*m**2 + 7*m - 5. Let b be u(1). Factor -51*i - 86*i**2 + 42*i**2 + 201*i + 45*i**2 + b.\nAnswer: (i + 75)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 4, -1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12*5*(-4)\/60. Solve 4*y - 12 - r = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1781\/26 - (-3)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9047, 36067, 81081, 144089, 225091, 324087, 441077?\n\"Answer: 8997*x**2 + 29*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 24*t**5\/11 - 6558*t**4\/11 + 312372*t**3\/11 - 927558*t**2\/11 - 874152*t\/11 = 0.\nAnswer: -3\/4, 0, 4, 57, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41378 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2\/28 - (-2)\/(-12) - 1232\/(-6762)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2687075525 to the power of 1\/3, to the nearest integer?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by 4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - -0.8. Suppose 5*z = 9 - 4. Which is the nearest to z? (a) r (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 31, -64581, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1796, 3669, 5590, 7559, 9576, 11641?\nAnswer: 13754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -892 - -874.3. Let z = 14.02 + o. Round z to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 6*m**2 - 3*m + 13. What is j(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/((-70)\/50).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 52 - 25*b - 70.\nAnswer: -25*b - 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23839*f + 2602*f**2 - 23839*f - 2598*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/(-24) + 12\/(-32). Is 3 a factor of 3 - (0 + b)*(-60)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**7\/14 - c**6\/2 + 3*c**5\/5 - 24*c. Factor w(h).\nAnswer: 3*h**3*(h - 4)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 274 = -2*d. Let v(q) = -56*q + d*q - 57*q + 1. Suppose 28 = 5*a - 4*i + 78, 25 = -5*a - i. What is v(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1773765 and 1107.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 1. Let a(n) = n**2 + 20*n + 25. Let i be a(-19). Suppose -4*l = -i*l + 14. Suppose -c - l = 3*m, 0 = 5*c + m + 8 + 27. Determine j(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1343.0495255 to 2 dps.\nAnswer: -1343.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 41 + 65 = 69. Solve 5*d = 3*m + 18, -4*m + 3*m = -h*d + 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = 3*n - 21. Let y = -354 + 436. What is the remainder when y is divided by (2\/(-6))\/((-3)\/n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 m when three letters picked without replacement from {z: 4, x: 9, m: 3}.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 36864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -46. Suppose 3*f + 14 + 6 = 5*k, -f = 2*k - i. Solve 8 = k*j - 0*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158 - -13. Calculate the greatest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -10*p**2. Let o(g) = g + 4. Let a(f) = -f - 5. Suppose 0 = -0*k - 2*k - 48. Let y be 136\/k - (-4)\/6. Let u(t) = y*o(t) - 4*a(t). Determine m(u(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -23, 1\/4, -0.2, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1338 and 0.03.\nAnswer: -40.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 245 + 603?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*m = -13, 6 + 7 + 32 = -2*v - 4*v - m + 71 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 1.4, -3, -22\/13, -0.06?\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1202505 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5049, 2, 3616.\nAnswer: 2, 3616, 5049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-154)\/66 - 8\/(-6))*-18 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.21 - 0.21. Suppose s = -8*s - 270. Let f be ((-4)\/9)\/(s\/9). Which is the fourth smallest value? (a) 0.3 (b) z (c) f (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.094 + -1.094. Let o = 4.94 + -5. Which is the second biggest value? (a) 2\/9 (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19670\/11, -4, 4\/7, -8 in descending order.\nAnswer: 4\/7, -4, -8, -19670\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62\/3*81\/54. Find the third derivative of 27*b**3 + 2*b**2 - 52*b**3 - 47*b**3 - l*b**3 wrt b.\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.03 - -25.03. Which is the closest to y? (a) 0.003 (b) -3\/4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j + 17*j + 10*j + 7*j - 37*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3270 + 2310. Let q = -586 - k. Let z be 137\/4 + (-13 + 102\/8)*1. Calculate the greatest common factor of z and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 5, -1\/7, 1, 30556?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5826597, -11653197, -17479797, -23306397?\n\"Answer: -5826600*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393836.\nAnswer: 2, 98459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 332*k - 35 + 28.\nAnswer: 332*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 12. Let k be s(-13). Let a = 3 - k. What is the smallest common multiple of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/(-51) - 6\/9. Let l = 22.16 + 177.44. Let r = l - 200. Put r, 4\/7, p in descending order.\nAnswer: 4\/7, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 + -108.3. Let d = f + -0.7. Which is the nearest to -0.1? (a) -1 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + j**2 + 0*j**2 + 50 - 40 as o*j**2 + m*j + a and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/11 (b) -3 (c) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -506022 + 506022 - 8*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 229953 and 3105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/5 (b) 5 (c) -1 (d) -4\/7 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 301 - 97. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + (1*sqrt(126))\/sqrt(7) - (-6*sqrt(18)*-2 + sqrt(18)))\/((sqrt(9) + 6*sqrt(9)*1)*2))**2.\nAnswer: 121\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63910 and 7700.\nAnswer: 639100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(-13) - -1 - 0. Let i(g) = g**3 + 8*g**2 + 13*g + 6. Let v be i(-6). Which is the nearest to v? (a) 4 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 0, -144, -49\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 21670*r + 303341. Determine z(-14).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -0.84932932764.\nAnswer: 0.34932932764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1226883364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3261079km?\nAnswer: 326107900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3\/2 - 11234748*q**2 + 42073165071663*q\/2 + 42073210010667 = 0. Calculate q.\nAnswer: -2, 3744917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:34 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - f = 6, 2*j = 54*f - 56*f - 12. Let k(t) be the second derivative of j + 0*t**2 + 0*t**3 + 28*t + 17\/12*t**4. Let o(d) = d**2. What is k(o(l))?\nAnswer: 17*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46.6 * -18.\nAnswer: 838.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 41\/((-3444)\/(-72))*(56\/12)\/2. What is the smallest value in 0, -22.59, 3\/7, l?\nAnswer: -22.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/82393?\nAnswer: 2\/82393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 4) to base 10\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*z - 2*g + 40, 5*z + 70 = 4*g. Let o be 3 - (3 + z\/2). Let d(l) = 4*l**2 + 3*l - 2. Let p(i) = -9*i**2 - 7*i + 5. Calculate o*d(f) + 2*p(f).\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*p = 2696 - 2726, -2*v + 2*p = -30. Solve v*o = 16*o - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2*m = -8, -3*m + 17 - 5 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 247.74 - -3.26. Let y = o + -265.32. Let b = -17.2 - y. What is b rounded to 1 decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*a**3 + 45*a**3 + 11*a**3 + 7*a**3 - 6*a.\nAnswer: -87*a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a + 0*a - 2*a)*(24 + 23 - 55) to l*a + j and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = 4*b. Let z = b - -17. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -56. Let r(c) = 2*c**2 + 6*c - 37. Is r(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/(-300) + (-1)\/(-6). Let m(d) be the second derivative of u*d**5 + 0*d**2 - 2*d + 0*d**4 + 0 + 1\/3*d**3. Find the second derivative of m(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -141881 - 4?\nAnswer: -141885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37926 and 21113.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 81*w**2. Let q(a) = -7*a + 32. What is q(d(c))?\nAnswer: -567*c**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 0 + 72*n + 39\/2*n**3 - 1\/4*n**4 + 60*n**2. Factor j(l).\nAnswer: -3*(l - 40)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**3 + 19*h**3 + 18*h**3 - 56*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b32 (base 13) to base 3.\nAnswer: -112122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(28\/9) + -1. Let g = -0.59 - -0.19. Which is the closest to q? (a) g (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(99)\/(((sqrt(81)*-1 - sqrt(81)) + sqrt(81))\/sqrt(9))) - 3*(sqrt(11)*1 + -2 - sqrt(11)*1*3)*6.\nAnswer: 42 + 34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, r: 6, c: 1, n: 2}. Give prob of picking 1 n, 1 r, and 1 s.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -183*h. Let b(f) be the first derivative of 1\/2*f**2 - 60 + 0*f. What is t(b(d))?\nAnswer: -183*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/456 and 28\/171?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 10:10 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 2940*c**2 + 155755*c - 158700.\nAnswer: 5*(c - 1)*(c + 60)*(c + 529)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -443 - -5757\/13. What is the fourth smallest value in 3\/4, -0.08, -2\/9, j?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3806354 is divided by 899.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28346 - -28393. Solve 0 = -6*t - 5 + y for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -458\/3 - -3212\/21. Let z = 10 - 19. Let n = 12 + z. What is the third smallest value in q, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7755967, -15511925, -23267883, -31023841, -38779799, -46535757?\nAnswer: -54291715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 551\/(-348) - 11\/(33\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 1)\/2 + -5. Which is the closest to 1\/6? (a) p (b) -1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001102 + -10?\nAnswer: -2001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -4\/75*f**6 - 3\/10*f**4 - 2*f - 1\/10*f**2 - 7\/30*f**3 - 1\/5*f**5 - 50. Factor v(o).\nAnswer: -(o + 1)*(2*o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16857 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 + x**2 + 4*x. Calculate the remainder when q(-2) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zik when three letters picked without replacement from {z: 5, c: 1, i: 11, k: 2}.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1192 in -1\/4, -1\/2, 1\/9, -29, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5265022 divided by 7\nAnswer: -752146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -7*q. Suppose q = -3*u - w + 43, 5*u + 5*w + 32 = 87. Solve 2*l - u = 4*z, z = -5*l - 4 - 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.3902428 + -259.586\nAnswer: -286.9762428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*y + 12, -2*i + 9 = y. Suppose -3*a + 5*a - 66 = -5*v, -i*v + 27 = a. Solve 0 = -4*h + v - 32 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 12:18 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a*a**(-1\/2)*a)*(a*a\/(a*a**8*a)*a)\/a*a assuming a is positive.\nAnswer: a**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1068920.6 to the nearest ten thousand.\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 600, -18\/5 in ascending order.\nAnswer: -18\/5, 10, 600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 54*p - 10. Let a be z(2). Calculate the highest common factor of a and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5167156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4348 + 979. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n**2 + 24 - 12*n**2 - 44 + 20.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*a + 562, -2*i + a + 284 = -0*a. Let x be 3\/(-9) + (-47)\/3. Let k be (-3)\/3*(x - -3). Calculate the greatest common factor of i and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21) - (-26)\/42. What is the second biggest value in 4\/3, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*i**2 - 83*i**2 - 28 + 43*i**2 to the form d + y*i + x*i**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/368997 and -91\/6.\nAnswer: 737994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 8*q - 5*q**2 + 5 - 2*q. Let d(b) = 3*b**2 + 4*b - 3. Give -7*d(m) - 4*h(m).\nAnswer: -m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -6. Let w = n + -9. Which is the second biggest value? (a) -0.5 (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(1*4\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*x - 46624 = 138*x. List the prime factors of x.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5, -5 = -a + 3*r + 1. Let y be 40\/7 - (-6)\/a. Let h = y - -3. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*d**5\/7 - 1900*d**4\/7 + 3187024*d**3\/7 - 376289400*d**2\/7 + 681813800*d\/7 - 308709500\/7 = 0. What is d?\nAnswer: -451, 5\/6, 1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/15*(-225)\/(-30)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 - 2*l**2 + 3*l**2. Let u(g) be the third derivative of 0*g**3 + 0 - 2*g - 1\/6*g**4 + g**2. What is u(d(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 less than 999?\nAnswer: 998.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 8:33 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 2)*(t**5 - 4*t**4 + 4*t**4 - t**5 + 0*t**5 + 0*t**5 + (4*t - 4*t + t)*(3*t**4 + 0*t**4 - 5*t**4) - 60*t**5 - 273*t**5 + 137*t**5).\nAnswer: 792*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 41168*v - 2717048. Give o(66).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4\/5)\/u)**21 assuming u is positive.\nAnswer: u**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-9)\/d**(1\/8)*d\/d**7*d\/(d**(-8)*d) assuming d is positive.\nAnswer: d**(-57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 56?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**3 + 9*p**2 - 5*p + 18. Let v be f(6). Let n = v + -409. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/((28\/14)\/(2\/3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 133 = 96*d - 76*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20265 + -20265.00020173. Round x to 6 dps.\nAnswer: -0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2276332, -2276331, -2276330, -2276329, -2276328, -2276327?\nAnswer: -2276326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24259344400 rounded to the nearest 1000000?\nAnswer: 24259000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-31 + 15))*(-7)\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 271 - 255. Put -37, 5, d in decreasing order.\nAnswer: d, 5, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65307406 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d**3 + 7*d**2 - 30*d + 7. Let o(m) = 4*m**3 - 3*m**2 + 15*m - 3. Let t(p) = -7*o(p) - 3*y(p). Find the second derivative of t(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3245364336 and -986?\nAnswer: 3245363350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -339.163 + 339. Let u = c - -0.16201. Round u to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, x: 12}. Give prob of picking 4 o.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1852 and -2356.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.006551 and -2634532?\nAnswer: 2634530.993449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0208108*0.06.\nAnswer: -0.001248648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) -4.5 (c) -0.4 (d) 23 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -877.00477 - -877. What is i rounded to 4 decimal places?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -y + 5*y. Suppose -4*c - 20 = 0, y + 1 = 3*w + c. Let h(t) = w*t**2 + 4*t**2 + t**2 - t**2. Let f(m) = 3*m**2. Calculate f(h(b)).\nAnswer: 300*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 7. Let z be f(0). Calculate the greatest common factor of 56 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 443.91 - 440. Let n = 0.09 + c. What is the smallest value in n, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1434539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2103, 2094, 2081, 2064, 2043, 2018?\nAnswer: 1989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -365136 - -798983. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -12*i - 32. Let r = 20629 + -20624. Give h(r).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -31)\/((2 + (-6)\/(-18))*(1 + -2)).\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 2, u: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-5*c + c + c) + 6*c - 4*c - 4*c + 28.\nAnswer: c + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 4.8?\nAnswer: 57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5182.0401 to the nearest one hundred.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 27\/(-12))*(-30 - (-918)\/27). Factor 2\/3*f**5 + 0 + 14\/3*f**o - 10\/3*f**4 + 0*f - 2*f**2.\nAnswer: 2*f**2*(f - 3)*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-138 + 23 + 55)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 189583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 15 = -5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k*r**3 + 3137*k*r**2 - 1855776*k - 5281*r**3 - 10*r wrt r?\nAnswer: 12*k*r + 6274*k - 31686*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((9\/30)\/((-15)\/(-1125)*-18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 10. Suppose -20 = z*j, 2*x + 76 = -j + 676. Suppose -d + 3*c = -161, -c - x = -6*d + 4*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10451737 to the nearest integer?\nAnswer: 3233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) 1\/7 (b) 2.17 (c) 5\/2 (d) 10 (e) -1\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3117\/26 or -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56.01257 - -0.00743. Let z = 56 - k. What is the biggest value in -2, 4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2\/3 (c) -0.7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/10 + 222\/15. Let h be (-3)\/p + 12\/20. Let i = 1\/5 - h. Which is the third smallest value? (a) 1 (b) i (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -26, 0.5, 4\/5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.3 + -9.351. Round u to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145271 > 145273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 52*q**2 + 1819*q - 31. Let f be w(-35). Let p(s) = -18*s + 10. Determine p(f).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iztuuzu. Give prob of sequence uziu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 522?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3)*g*g**(-2\/19)*g)**10 assuming g is positive.\nAnswer: g**(1120\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0613 - -9.0686\nAnswer: 9.0073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18\/13, 0.04, 1\/4, 0.3.\nAnswer: -18\/13, 0.04, 1\/4, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 67. Let r = -26.966 + -0.034. Suppose -u - 28 = 5*o, 4*o = -5*u - 0 - 35. Which is the second smallest value? (a) u (b) r (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1627360.\nAnswer: 2, 5, 7, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 95? (a) 21 (b) 4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:04 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 78415591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 21 - 17. Let q(r) = -r + 5. Let y(u) = -u + 6. Give b*q(i) - 3*y(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d = 2*v - 18, 3*d = 2*v - 16. Solve 11*t - 6*t = v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1991 = -4*n + 4*u - 1517, 4*n + 3532 = -2*u. Let l = 281 - n. What are the prime factors of l?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 491.\nAnswer: -1, 5, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22137 or 22138?\nAnswer: 22137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1513336 and 67\/29131718.\nAnswer: 116526872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48958 - 26115. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3. Let a(u) = 59*u**3 + 17. Let m = -8 - -14. Let p(q) = m*z(q) + a(q). Differentiate p(d) with respect to d.\nAnswer: 159*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 6. Suppose 4 = 4*k, 4*k = c + 2*c + 37. Let s be y(c). Let d = -61 - -101. Calculate the highest common divisor of s and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80\/9 + -26\/3. Let o = 0.31 + -0.11. Which is the third smallest value? (a) o (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 13*m**6\/120 - 7*m**5\/60 + 10*m**2. Find the third derivative of h(q) wrt q.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 3\/7, -11, 0.1, 10, 28, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2883 - -2885. Let y(p) be the second derivative of 0*p**4 - 2\/5*p**5 + 0 + 10*p**x + 0*p**3 - 2*p. What is the first derivative of y(n) wrt n?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98137.21ml to litres.\nAnswer: 98.13721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 1:21 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 2, 305, -5, 56, -2 in descending order.\nAnswer: 305, 56, 10, 4, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (714 - 1356 + 756)*(0*v**5 - 4*v**5 + 2*v**5)*(-3 + 3 + 1).\nAnswer: -228*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 22 + 1054*f - 12 - 8 - 1066*f to the form o*f + w and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220 by -11.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-1)\/c*c))**(-24)*c**(1\/12)\/(c**(2\/5)*c*c*c*c) assuming c is positive.\nAnswer: c**(-1699\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 32779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4607926621.\nAnswer: 4607926621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12174768 by 16.\nAnswer: 760923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011343 (base 6) to base 15.\nAnswer: 673c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 4*w**2 + 7*w - 6. Let c be j(5). Let p be (1 - (-3 + c))\/2. Suppose 4 = 2*k + 2, 5*q - 2*k - 368 = p. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s. Suppose s = 2*j - 5*j. Suppose -2*w + 0*w = j. Solve w = k + 4 - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34598, 0, -2, -5 in descending order.\nAnswer: 0, -2, -5, -34598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4122 and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3308, 3179, 2978, 2705, 2360?\n\"Answer: -36*k**2 - 21*k + 3365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q + 3 = -34*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 8:02 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 - b**2 + 1. Let u be z(-1). Suppose -3*i = -2*x - 16, -2 = 4*x + 3*i - 6. Let t be -4097 + 2\/x*u. What is t rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 + 74. Solve -f = 3*l + l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, h: 1, f: 1, l: 1, s: 2, w: 1}. Give prob of picking 1 w and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 - -108 - 5588\/(1 - 3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, -3, -5 in increasing order.\nAnswer: -5, -3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76.3 + -78. Let z = h + -29.3. Let t = z + 31.14. What is t rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (433360 - 849626 + 430145)*(-v**2 - 2*v**2 + v**2) to the form l*v + w*v**2 + m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 + 18*w + 1. Calculate x(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -74*q + 1554. Let w be g(21). What is the fifth biggest value in -4\/3, 4\/5, w, -1, 7.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47604 is divided by 69?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h = -34*h + 33*h - 644 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y = -37 - 28 - 177 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4424 - 2687. List the prime factors of i.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in 1\/12, 2\/7, -0.3, -12, -3\/20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = -2*k, -10 = -2*u - 4*k + 12. Suppose -274 = -3*t + 5*h, 0 = -u*t + 9*t + h - 327. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 65*u + 244. Determine f(36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(95) + sqrt(95))*-4)\/(sqrt(5) - sqrt(495)\/sqrt(11) - sqrt(5))*-2 + 2.\nAnswer: 2 + 16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 134. Suppose -14*t + 4712 = 48*t. What is the highest common divisor of i and t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7374707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-416)*16*(6\/38)\/3\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 3. Let j be k(6). Let s = 88222 + -88222.3. Which is the nearest to 0.1? (a) -4 (b) s (c) -0.13 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 8) to base 12\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -4. Let q be (-3)\/((-6)\/(-8)) + (-45)\/(-12). Sort w, q, 0.1 in descending order.\nAnswer: w, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -265 + 170. Let a be (2 + u\/50)\/(10\/25). Factor 0*h + 1\/4*h**3 - 1\/4*h**4 - a*h**5 + 1\/4*h**2 + 0.\nAnswer: -h**2*(h - 1)*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*-18 + -1511 + 1539.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.159 * 1371.\nAnswer: 217.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -0 + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/(-21) + (-9)\/(-63))*-15 - -114212 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(162) + (sqrt(162) - sqrt(162)*1) + -3 + sqrt(162))*-6)**2 + ((-4 + sqrt(162) + sqrt(162)*-2)**2 - (-3 + -1 + sqrt(162))))*-3.\nAnswer: -74418 + 23139*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 91, 89, 89, 91, 95?\n\"Answer: j**2 - 5*j + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.4, 17\/35013, 2 in descending order.\nAnswer: 2, 0.2, 17\/35013, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*4 - (-10768)\/(-288)*51. Let s = n + 1916. Determine y, given that 2*y**3 - 4\/3 + y + s*y**2 - 5\/6*y**4 = 0.\nAnswer: -1, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 11. Let w be g(3). Suppose -5*t = -3*l - 226, 176 = -w*l - 4*t + 40. Let u = -67 - l. Solve -u*z - 2*o - 20 = 3*o, -26 = -z + 5*o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h*q**2*r**2 + h*q*r**2 + 4*h*q*r + h*r - 150*q**2*r**2 - 37*q**2*r wrt r?\nAnswer: -8*h*q**2 + 2*h*q - 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-1222)\/8)\/13)\/(1\/(-2804)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1511076, 1511086, 1511094, 1511100?\n\"Answer: -j**2 + 13*j + 1511064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, d: 5, m: 1, r: 1, b: 1, l: 1}. Give prob of picking 2 u and 1 d.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, 359, 348, 333, 314, 291?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1026*t + t + 4*t - 1031*t + 161*t**2.\nAnswer: 161*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:37 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmddmdhdqfdddhmmhd. What is prob of sequence fq?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8880, 17765, 26674, 35619, 44612, 53665, 62790, 71999?\n\"Answer: 2*f**3 + 8871*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(128) + -1)**2 - (-3*1*sqrt(2))**2) + 0 + (sqrt(10)\/(-3*sqrt(605)) + -2)**2).\nAnswer: -500948\/1089 + 2096*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902015716 is divided by 1013.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155214 and 25869?\nAnswer: 155214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7695965 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/(-4)*16\/192 and 8\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0439666+-0.5\nAnswer: 0.5439666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/442 and -99\/442.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 = -2*o, -5*u = -o - 2*u + 9. Let l(d) = 9*d**3 + 2*d**2. Let g(w) = -10*w**3 - w**2. Calculate o*g(a) + 2*l(a).\nAnswer: -12*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1.5, 6\/23, -82 in increasing order.\nAnswer: -82, -0.5, 6\/23, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 318 (b) -13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 20*u - 49. Determine i(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319463, 638926, 958403, 1277900, 1597423?\nAnswer: 1916978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 746*t - 681*t + 2600 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*n + 226, 2*n = 2*r - 7*r + 600. Suppose -4*x + 374 = l, 4*l + x = 1393 + r. What is the greatest common divisor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddidid. What is prob of sequence iid?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 137*l**8\/28 - 46*l**4\/3 - l**3\/3 - 6*l**2 - 126*l. Find the second derivative of b(p) wrt p.\nAnswer: 32880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27080 by -5416.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 8*q - 15 = 0. Suppose 49 = q*f - 302. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 1, a: 4, u: 1, w: 10}. Give prob of sequence xu.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 7*d**2 - 5*d - 5. Calculate k(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12889 - 8028. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 x when three letters picked without replacement from vxvvvvvvvvvvvvxxxvv?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -37 - 21 - (0 - -10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/28 (b) 1285 (c) 1\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 138066\/(-4)*((-924)\/(-62424))\/(-77). Let v be 1*(608\/(-578) + 1). Let f = v + y. Calculate the common denominator of -17\/152 and f.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1855 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 11.3. Let q = 0.02 + 4.98. Which is the closest to -5? (a) r (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/3))\/b)**(-1\/16)\/(((b**(-5)*b)\/b)\/b**(-1\/10)))\/(((b*b**(-1))\/b)**(-12))**28 assuming b is positive.\nAnswer: b**(-79469\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41144 (base 6) to base 11.\nAnswer: -4118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 16 + 30)*(-4*a**2 + 6*a**2 - 5*a**2)*(7*a - 7*a + 8*a**2).\nAnswer: -1752*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005614965 to 5 decimal places.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10188.5 times 4411?\nAnswer: 44941473.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6588646.01 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3184590448 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55516*z + 49101 wrt z?\nAnswer: -55516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -802 + 350. Let v = g + 451.9899. What is v rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 13*h**3 - 2*h**2 + 3*h - 19. What are the prime factors of q(4)?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53 and 3?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 + 29*n + 15. Let g be o(16). Let i be (-9)\/(-4)*(-44)\/g. Solve 2*y + i*y = -10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}