diff --git "a/data/dm_maths/full_data_1/10867_11255.jsonl" "b/data/dm_maths/full_data_1/10867_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10867_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let c(b) = 3*b**2 + 925*b - 15541. Let p be c(16). Let d be (350 - 3\/(-3)) + 0. What is the greatest common divisor of p and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 15609913?\nAnswer: -9\/15609913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.017 - 0.217. Let k = 58.1 - h. Round k to 0 dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 - (-42090)\/(-780))*-1.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 21. Let b(m) = 5*m**3 - 10*m - 6 - 4*m**3 + 24*m**2 - 16*m**2 - 2. Let q be b(i). What is the highest common factor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 = 2*n + 16, -3*n + 55 = 5*j. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - i**2. Let t(o) = -o**3 + 2*o**2 + o - 2. Let u(y) = -2*b(y) + t(y). Let p be u(-3). Suppose 0 = p*n - 20. Solve -15 = -10*k + n*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/((-37543)\/6259 - -4 - (-2)\/1)?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 + 146\/3. Let o(b) be the first derivative of b + 0*b**2 - 2 - q*b**3. Differentiate o(y) with respect to y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.4 (b) -0.08 (c) -18\/2069 (d) -0.1 (e) -1\/4 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750\/1238729 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/15 and 167\/4950.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -290 in 0.3, -55, 505\/2?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 495867101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -811832 by -8.\nAnswer: 101479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from ttexlprrp?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37845 - 138669\/4. Let p = -3158 + j. Find the common denominator of p and 19\/2 - 2\/(-8)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**7\/105 + w**6\/10 + 167*w**5\/30 - 44*w**4 - 7744*w**3\/3 + 63*w**2 - 2. Factor i(t).\nAnswer: -2*(t - 11)**2*(t + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 4 - (-31 - -38) - -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/3)\/(4\/(-6)). Suppose i + 0*d - 2*d + p = 0, -2 = -2*i + d. Solve 2*h**3 + 3*h**3 - 4*h**i = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*p**2 - 195 - 14*p - 204*p**2 - 353*p**2 - p**3 + 43.\nAnswer: -p**3 - 450*p**2 - 14*p - 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53150\/73 or -729?\nAnswer: -53150\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2358\/42 - (4\/14)\/2. Let l = -53 + g. Solve 3*m + 24 = l*v, 0 = 5*m - v + 2*v + 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5842365*h**2. Let m(b) = 29*b**2. Calculate m(p(j)).\nAnswer: 989863635003525*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/((-70)\/45) - -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -385761 - 0.56.\nAnswer: -385761.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, i: 2, a: 3, u: 1, p: 1}. Give prob of sequence ic.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10120 + 2212?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 908 <= 900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 111.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 3*i - 2*i**4)*(2 - 4 + 1) - 5758*i**2 + 96*i**4 + 5758*i**2.\nAnswer: 98*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103.2 + 121. Let a = r + -20.1. What is the smallest value in 1, -2, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w + 2*w + 0*w)*(1 + 0 - 3) + (5 - 4 - 5)*(4*w + 4 - 4) + (-w + 3*w + 0*w)*(-2 + 4 - 1) + 5*w - 3 + 3 - 2*w - 5 + 5 as p*w + k and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*t = -142*t - 13 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*a - 2. Suppose 3*o - a = q + 8, -2*o + 6 = 4*q. Let b = -1 - -3. Is b at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 5*d**3\/6 + 5*d**2\/2 - 65*d. Let a(p) = p**2 + 6*p + 6. Give 5*a(i) - 6*x(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42216198845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 715777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 16 - 19 = -6 - 1, -c + 44*h + 26 = -56 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 395023 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 - 19247 - 2*d**2 - 2*d**4 + 12*d + 19269 as s + j*d + i*d**3 + t*d**4 + g*d**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - -4bfdf5?\nAnswer: 4bfde2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h*n**2*q**3 + 703*h*n**2*q + 12*h*n*q**3 - 3*n*q**2 - 3*n*q - 9 wrt n?\nAnswer: 14*h*q**3 + 1406*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -15*p**3 - 2*p**2 + p. Let h = 53 - 6. Suppose -3*f - 44 = -h. Determine q(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 + -79 + (-4 + -27 - -1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 4*r + 3*r)*(612 + 98 - 145)*(0*r**4 + 5*r**4 - 4*r**4 + (-3*r**3 + 5*r**3 + 0*r**3)*(-3*r + 2*r - 3*r)).\nAnswer: -7910*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -92 - -112. What is the remainder when f is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 6*v**2 - 6*v - 2. Let x(g) = 4 - 9*g - 6*g**3 - 5 + 8*g. Let l be x(-1). Let d be (10\/(-6))\/(2\/l). What is k(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**2 - 38240*f - 91393600 = 0.\nAnswer: -4780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1164576400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 4. Let r = -14.3 + 22. Let u = k + r. Sort u, -0.1, -1 in decreasing order.\nAnswer: -0.1, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 36 + 0*g - 16 - g - 19. Let d(p) = 5*p - 5. Determine -2*d(x) - 11*q(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -852.8 * 12.76.\nAnswer: -10881.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 + 0 = 0. Let z be s\/(-2) - (-21)\/(-6). Suppose -3*d + 2*d = -5, -83*b + 82*b + 2*d - 8 = 0. Put -1, b, 4, z in descending order.\nAnswer: 4, b, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 8*u**2 + 5*u + 7. Determine q(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 3*s + 3*s)*((2*s**2 - 4*s**2 + 3*s**2)*(-s + 0*s - 5*s) + s**3 + 8*s**3 - 2*s**3).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -905 + 909. Let t(b) be the second derivative of -1\/5*b**5 + 2*b**3 - 3*b - 4*b**2 + 0*b**d + 0. Factor t(y).\nAnswer: -4*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31580164 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 19344802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 < -1386\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*i**3*u - 159956*i**3 - 2*i**2*u + 27*i**2 + 2*i*u - 299335*i + u - 1 wrt i.\nAnswer: -174*u - 959736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 a, and 1 r when four letters picked without replacement from aharriahahiqrrhrah?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315\/10*(-34)\/119?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**4 + 40*y**3 + 30*y**2 - 200*y + 124. Let v(f) = -f**4 + 1. Suppose -21 + 3 = 18*k. Let t(o) = k*x(o) - v(o). What is b in t(b) = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, q: 2, c: 3, r: 3, a: 3}. What is prob of sequence rqa?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 + -57. Let g(z) = z**2 - 26*z - 85. Calculate the least common multiple of 18 and g(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26987 - -26814. Let s = 384\/665 - -3\/133. What is the nearest to w in -0.5, s, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**6\/10 + f**4\/4 - 3*f. Let s(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4 - 1615*f**3 - 1640*f**2 + 6460*f + 6480 = 0. What is f?\nAnswer: -2, -1, 2, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7565*c - 1089 = 7444*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5900497\/36216768 - -2\/80841. What is the common denominator of -41\/112 and o?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11023550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/77, 5, -1.34, -1\/4, 3?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123162 or 123163?\nAnswer: 123162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-6)*(-1132)\/(-20) - 4. Let y = -148 - f. Which is the second smallest value? (a) -39 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 = 0, 6*j - 665 = -3*h + j. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 8*y - 18. Suppose -4*n + 192 = y*o, -o = 5*n - 29 - 58. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -9. Let b = 7 + -4. Let i = b + -3.1. Is d less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a - 104 = 390 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-26)*h*h\/(h**0*h)*((h*h*h**(2\/87)\/h)\/h)\/h**(-8) assuming h is positive.\nAnswer: h**(-1390\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2 - 128858814*n + 1383716162123883 = 0. Calculate n.\nAnswer: 21476469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-6) + 13\/(-26))\/(3\/(-27897)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5*v - 11, i + 4*v + 4 + 4 = 0. Let n be 8\/(6\/(-3)) + i. Let r be 2\/(3 - 2 - n). Solve -2*g + 3*w = -14, -5*g - r*w = -2*g - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 151.\nAnswer: -45.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.011304 + 2105.111304. Round k to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -6. What is the units digit of 2\/c*(4 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 4*l**2 - 6*l - 7. Let p be v(-5). Let n be (p + 26\/3)*-6. Let z be (-1)\/(-4) - (-2)\/n. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 c, and 1 k when three letters picked without replacement from {m: 2, l: 7, c: 1, a: 2, k: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3945 and 2367?\nAnswer: 11835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5 - 39*x**4 + 82*x**3 = 0.\nAnswer: -41, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 8 + 7 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 44*p**3\/3 - 3*p**2 - 5*p + 1. Suppose -90*n - 148 = -68 + 100. List the prime factors of j(n).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 122 - 132 = 0. Suppose -k*v = 12*v + 56. Let w(o) = 2*o**3 - 11*o**2 + 11*o + 20. Let s(b) = -b**3 + 4*b**2 - 4*b - 7. Determine v*w(d) - 11*s(d).\nAnswer: 3*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2916 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 + 84*o**2 - 86*o + 5. Calculate j(-43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*t - 3, 4*q - 3*t - 35 = 0. Suppose q = -f + 7. Find a such that 0*a**f + 1\/2*a - 1\/2*a**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/11 - 660\/3630.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.103 - 0.123. Let r = u - -0.02. Let m = r + 3. What is the biggest value in 3\/7, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 3 - 1)*(-268*b**2 - 7 - 16*b - 1971*b**2 + 16*b + 7) in the form y + p*b + f*b**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -1391744864192?\nAnswer: 1391744864196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (92\/4)\/(((-2)\/14)\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/2)\/3*-9. Suppose -12*b = -q*b. Solve -2*u - 2*z = 2*z + 12, b = -2*u + 3*z + 23 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -315.03 + 41. Round n to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 220c - -5?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26829, -53654, -80479, -107304?\nAnswer: -134129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/25206 and 70\/27.\nAnswer: 226854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2406670 to the power of 1\/2, to the nearest integer?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/9 and -17\/597?\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -496.3 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -134330020010?\nAnswer: -134330020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.68, -0.02, -45, -2, -3?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3455397.\nAnswer: 3, 11, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j = -49*j - 90. What is the remainder when 24\/j + (-118)\/(-6) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5768 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: Which is bigger: 7984327 or 7984338?\nAnswer: 7984338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 349761, 699403, 1048931, 1398345, 1747645, 2096831?\nAnswer: 2445903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/15 and 103\/1972674.\nAnswer: 9863370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from knuibnunlblilln.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 38*w + 159. Let i be p(-33). Sort 0.3, i, 0.5, -3 in decreasing order.\nAnswer: 0.5, 0.3, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -13. Suppose -u + 18 = k. Let v(i) = -6*i - 1. Let z be v(-1). Solve 32 = -5*w - 3*n, z*w + k = 3*n - n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 2*n + 50429*n**2 - 50422*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/10 of a decade?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*(k*k*k*k*k\/(k*k**(2\/5)*k)*k*k)\/k*k))**(-49)\/(k**(-19)*k\/k**(-1\/7)) assuming k is positive.\nAnswer: k**(6799\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 266.9906 - 155.8565. Let c = -18205.8 - -18317. Let j = c - x. Round j to three dps.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -321 + 900. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -103. List the prime factors of r.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + u - 3. Let l be i(0). Let p = -43439\/16 + 2718. Find the common denominator of l\/12*2\/1 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.99602 + -0.00398. What is the biggest value in -1, b, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 - -104. List the prime factors of (-1 - x) + 252\/4.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhnyqhxyqsqqq. What is prob of sequence syq?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*x - 214*x + 318*x - 212*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 11:07 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288949 is divided by 144335?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*m + 214, -26*m = -21*m + l + 262. Suppose -4*f + 5*t - 35 = 0, 0*f - 18 = 3*f - t. Sort f, m, 2 in decreasing order.\nAnswer: 2, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -129, -285, -503?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43589\/32 + -1362. What is the common denominator of 610\/60 + -10 + (-6)\/(1440\/127) and y?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovo when three letters picked without replacement from jvjoovvojjoooovjovjj.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 39. Suppose -w*d + 188 = 5*o, -4*o + 7*o - 132 = 3*d. What is the remainder when o is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 10*p**2 + 9*p + 3. Let v be w(9). Suppose -5*f - 5*o + 3*o + 206 = 0, 2*o + 114 = v*f. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 3*q + 6. Suppose 2*v - 6*v = -8. Let 8*o - q*o**2 - 8 + v*o - 2*o = 0. Calculate o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 19 + -4 + 2. Suppose -3*l - 4*w - 64 = 0, 2*l + 26 + 17 = -3*w. Let b be (8\/10)\/((-8)\/l). What is the highest common divisor of b and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30899?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 4*h**2 - 3*h - 7. Let p be a(-5). Let k(g) = g**2 - 2*g + 2. Let j(i) = -5*i**2 + 11*i - 11. Give p*k(s) + 6*j(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, s: 1, q: 2, m: 2, n: 1, v: 10}. What is prob of picking 1 m and 1 v?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/37? (a) 4 (b) 1 (c) -123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8545 > 8548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 33 = 9. What is the smallest common multiple of 27 and i?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-5 + 28\/8). Let s = 5 + -2. Suppose -4*n = 3*r + 2, -s*n = u*r + n - 4. Solve 3*o - r = -21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-7)*j)\/j)\/j**8*j**2\/j**(-7))\/((((j\/(j\/j**(2\/7)))\/j)\/j)\/(j*j**(2\/23))*j*(j*j**7)\/j*(j**(1\/3)\/j)\/j) assuming j is positive.\nAnswer: j**(-4604\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 316 = 2*z. Let p = z - -151. Suppose o - 4 = 4. Calculate the greatest common divisor of p and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30752 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwm when three letters picked without replacement from {w: 1, k: 3, m: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 112, 237, 384, 535?\n\"Answer: -3*l**3 + 38*l**2 - 8*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13009807*u**4 + 2249824*u**2 wrt u.\nAnswer: -312235368*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/63 and 143\/84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1396.79889 and 2.\nAnswer: 1398.79889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 39682?\nAnswer: 11\/19841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1329*p - 63 = -2686*p + 1336*p. Suppose -3*u - 1 = -2*o, -2*u - 4*o - 18 = -o. Sort p, u, 35, 4 in descending order.\nAnswer: 35, 4, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76432 + 1 - (55 - 39) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62927*g**2*l**4 - 2*g**2*l**2 - 4447720*g**2 wrt l.\nAnswer: 251708*g**2*l**3 - 4*g**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4121, 6360, 10099, 15344, 22101?\n\"Answer: c**3 + 744*c**2 + 3376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 5:08 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4, 2*m + t - 78 = 4*t. Suppose -2*w - m + 41 = 0. Suppose s = w*s - 45. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 310?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-10) + 166\/10. Suppose 3*z = -m + r, -2*z = -5*z - 6. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-14 - 182\/70))*-70.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 2. Give f(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + (sqrt(612)*-2 + 3)**2 + 6*(sqrt(612) + 0) - (-5*(1*sqrt(612) + 4))**2)*3*-6.\nAnswer: 22140*sqrt(17) + 238374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -181, -410, -719, -1102, -1553?\nAnswer: -2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 13*t - 6. Let x = -24 + 14. List the prime factors of r(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 105*k**2 + 130*k + 1435. What is the thousands digit of j(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g - 35. Let b(j) = j - 6. Let y(u) = -35*b(u) + 6*t(u). Let n(s) = 8*s + 5. Let l(f) = 33*f + 21. Let c(r) = -5*l(r) + 21*n(r). Calculate c(y(d)).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 17149080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/5 + 847716*g - 449139010410 = 0. What is g?\nAnswer: 1059645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -21. Suppose i*z + 4 = 6*z. Let m(u) = -u**3 - 4*u**2 + 7*u + 7. Let o be m(-5). Which is the nearest to z? (a) -5 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2278, -8253, -17928, -31303, -48378, -69153, -93628?\nAnswer: -121803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4379, 3737, 2667, 1169?\n\"Answer: -214*y**2 + 4593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -11\/6, -5, 0.4, -1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/5 of a second?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x. Let n(t) = -t**2 - t + 1. Let h be n(0). Let d be a(h). Which is smaller: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -10210?\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (32*400\/1920)\/(-8)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*o = -28*o + 3630 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1478767453 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10\/4929981?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 11:51 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Let b(x) = -8*x + 1. Let z(u) = 7*u. Let k(d) = 2*b(d) + 3*z(d). Let v(t) = 4*t + 2. Determine h*k(a) - 4*v(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*a - 18. Let v be -1*(-22)\/(-2 + 0). Let u = a - v. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 451 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4\/2 - 127836*o**3 + 2812683*o**2\/2 - 3068514*o - 4602690 = 0. Calculate o.\nAnswer: -85235, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 89060.\nAnswer: -89059.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**3 - 11*c**2 + 11*c - 11. Let u(x) = -2*x**3 + 4*x**2 - 4*x + 4. Suppose 46 - 75 = o. Let p = o + 40. Determine p*u(b) + 4*l(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -16*i**3 - 4*i - 2. Let h(z) = z**3 + z. What is a(q) + 5*h(q)?\nAnswer: -11*q**3 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409515809 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332229026 is divided by 3104944.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14403324125 + -0.0447?\nAnswer: -14403324125.0447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j - 6. Let u be h(-3). Suppose -2*w + 15 = u*w. Let v be (2\/3)\/(4\/12). Solve -o + v = -w*s - 9, 5*o = -3*s - 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.38413735 rounded to 1 dp?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -210222212 (base 3) in base 16?\nAnswer: -3ea2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(720) + -3)*-1 + (sqrt(720)*4*-4 - sqrt(720)))**2.\nAnswer: -1296*sqrt(5) + 233289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 + -124. Suppose -15 = f*v + v. Let s(g) = -4 - 3*g + 0 + 0. Let a(h) = -6*h - 7. Calculate v*a(o) + 5*s(o).\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1053) + 2) - (sqrt(1053) + (-4*(sqrt(1053) + sqrt(1053) + 3))**2).\nAnswer: -67526 - 1692*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -236 + 284. Solve 2*x = -42 + i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/7 - 54580048*h\/7 - 54580076.\nAnswer: 4*(h - 13645019)*(h + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137608*s**2 + 137597*s**2 - 275204*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 449621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by (3\/(-5) + 6)\/(1\/10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10828?\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7553916.\nAnswer: 2, 3, 17, 12343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(7\/5)*(p\/(p\/(p*p**(-1\/5))))\/p*p**0*p assuming p is positive.\nAnswer: p**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.156 + 0.15600024. What is a rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**7\/140 - c**6\/80 + 6*c**2. Factor s(o).\nAnswer: -3*o**3*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252\/(-714) + 571\/510 + (-17)\/102\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 7*h = -535 - 97, -5*h + 40 = 0. Solve -627*j + 609*j = k for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*u + 6*u + 5*u + 10*u to i*u + k and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-1))\/((-4)\/(-2)). Let v = 3.14 + 0.86. Sort t, v, 0.5 in descending order.\nAnswer: v, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 154 + 180. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Let o = -26698 - -26709. Solve 4*y + 4*l = y + o, -25 = 5*y - n*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 749\/435 - 48\/29. Sort m, 5\/6, -0.5 in descending order.\nAnswer: 5\/6, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1836, 1826, 1802, 1758, 1688, 1586, 1446?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 6*i + 7. Let f = -42 + 49. Let z be u(f). Let k be (-29)\/(-4) - (-1)\/(-4). Calculate the highest common divisor of z and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/7 + 10028*t\/7 - 17232 = 0. Calculate t.\nAnswer: -5026, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -631*z**3 + 11*z**2 + 17*z + 13. Is c(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9 + -1.1. Let q = -4 - -4. Let l = q + 2. Which is the second biggest value? (a) 3 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -349365297\/19 or -18387648?\nAnswer: -18387648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 - 276 - (9 - (0 + -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -69410, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqxpddexn. Give prob of sequence nedx.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 113 + 1 + 1. Let w = 2\/275 + -23941\/2200. What is the common denominator of (-4)\/6 + m\/(-39) and w?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.49 times -9?\nAnswer: -13.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003537693112 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4244 (base 8) to base 3.\nAnswer: 10000221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-3)*30\/20. Suppose -r + 3*c - 23 = 0, -5*c + 12 = n. Let h = r - -34. Calculate the greatest common divisor of h and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**2 + 3*a - 9. Determine f(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 201202002?\nAnswer: -201202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*q**2 - 123385*q + 30845.\nAnswer: 5*(q - 6169)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 16 = -a - 5*p, 3*a + p + 8 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*j - 31*j - 41*j**4 + (-12*j**2 - j**2 - 5*j**2)*(-3*j**2 + j**2 - 3*j**2).\nAnswer: 49*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/14103 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 12*v + 4. Let i(k) be the third derivative of 1\/12*k**4 - 15*k**2 + 0*k**3 + 0 + 0*k. What is n(i(z))?\nAnswer: 24*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-7 - (-5 + (-4 - 3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, -102, -227, -400, -621, -890?\n\"Answer: -24*s**2 - 5*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18.89, -3.9, -7, 1 in decreasing order.\nAnswer: 18.89, 1, -3.9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*i + 84*i + 29*i - 1256 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 7:05 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-3)\/(-1))*(3393\/(-1326))\/29?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {z: 1, v: 2, m: 1, d: 1, t: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 + 1011011?\nAnswer: 1110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -744 (base 12) to base 4.\nAnswer: -100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 747669 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2\/23, 0 in ascending order.\nAnswer: -7, -2\/23, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(8\/5)*m**(-6\/13))\/(m**(-2\/7)\/m)**19 assuming m is positive.\nAnswer: m**(11087\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312 = 18*s - 528 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*z**3 + m - 2*z**4 + 3*z + 7209 wrt z.\nAnswer: -3*m*z**2 - 8*z**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 12 (b) -0.4 (c) -17 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2) + (0 - 17\/5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -9*u**6\/2 + 61*u**2\/2 + u + 56. Find the second derivative of j(w) wrt w.\nAnswer: -540*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 21*r - 25*r + 40 = 0. Let o(q) be the first derivative of 21\/2*q**r + 7 + q**3 + 18*q. Solve o(y) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 5*i - 80 + 33)*(2 - 6 + 2)*(1 + 1 + 1).\nAnswer: 30*i + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s. Let a(w) = 7*w. Let r(h) = a(h) + i(h). Let y(f) = -185*f**2 + 2. Determine r(y(z)).\nAnswer: -555*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103003001 (base 4) in base 3?\nAnswer: 122021121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**3 + a**3 + 8*a**3)*(a + 2*a - a) - 2*a**4 - a**4 - 26*a**4 to the form o + b*a**3 + d*a + i*a**2 + k*a**4 and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.023 < 6681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808*u + x = 807*u + 5, 2*u - x = 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + f + f + 12 = 0, 4*f = 3*w - 15. Let o(a) = 179 + 2*a**2 - 2*a - w*a**3 - 3*a**3 - 178. Calculate o(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:05 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/64333 or 326?\nAnswer: 326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2. Suppose m + 8 = 5*l + 2*m, -m + 3 = 0. Suppose 7 - l = 3*s. Let z(k) = s*k + k - k. Calculate z(f(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*n**2 + 528578 - 528578.\nAnswer: -39*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**6\/540 - z**5\/270 - 5*z**4\/108 - z**3\/9 + 18*z**2. Factor u(m).\nAnswer: 2*(m - 3)*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.93887 nanoseconds to days.\nAnswer: 0.000000000000022440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37056230 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 2*c**2 - 3*c + 16. What is the derivative of s(w) wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 5, 0.09, -2\/9, -0.1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 229763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)*c\/(c*c*c\/c**(11\/6)*c))**(-15) assuming c is positive.\nAnswer: c**(125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-seven halves of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 63*d - 142. Determine v(62).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49602360.\nAnswer: 2, 3, 5, 413353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 4. Let c be -1 + l - (-18)\/(-2). Let j be ((-84)\/49)\/(2\/c). Solve 4*w - 2*p = -8, j = -2*w + 5*p + 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -145921600 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1174 or 637?\nAnswer: 637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**2 - l + 2. Let y be k(3). Let s(b) = -2*b + 2*b - 4*b + y*b. Let n(m) = -2*m**2. Calculate n(s(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104*d**2*f*m - 2*d**2*m - 69*d**2 - 12*d*f*m + 517*d*f - d - f*m - 6*m wrt d?\nAnswer: -208*f*m - 4*m - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/7 - 34*i**4\/7 + 2*i**3\/7 + 1154*i**2\/7 + 308*i + 1040\/7 = 0 for i.\nAnswer: -4, -1, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57566510 is divided by 2155?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56.3 + 163. Let l = u + -203. Round l to 0 dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 0 - 11*o**3 + 4 + o as l*o**3 + i*o**2 + w + b*o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 21. Let r be q(-7). Let b(i) = -i**3 - 8*i**2 - 10*i - 3. Let g be b(-8). Calculate the highest common factor of r and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 914 + 9550. What are the prime factors of h?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 255 + -775. Let r = a - -525. Solve 4*j = -r*f + 27, 3*f = -2*j + 2*f + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v**3 - v + (0*v - v + 3*v)*(0 + 0 + 2*v**2) - 4*v**3 + 2*v**3 + v**3 + 0*v**3 + 4*v**3 - 3*v**3)*(-6 + 1 + 4).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*u**2 - 250*u**2 - 188 + 127*u**2 as y*u**2 + s + v*u and give s.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4501, 4499, 4497, 4495, 4493, 4491?\n\"Answer: -2*g + 4503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 169273 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: Let l be (-108)\/(-5) - 2\/(-5). Suppose -70*g + 67*g + 7 = 2*m, -2*m = 5*g + 3. What is the greatest common factor of l and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**4\/4 - 4*u**3\/3 - 5*u**2\/2 - 4*u - 32. Let c = -20 + 17. Determine r(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193910 to the power of 1\/2, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 - 32. Let a = t + -42. Which is greater: a or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -76. Suppose 3*k - 7 = r*w + 9, 0 = -3*k - 3*w. Solve -k*b - 1 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 2. Let n be 6\/10*3368\/(-12). Let i = n - -169. Which is the nearest to -0.1? (a) i (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 14 = -17*s, 10*a + 4*s - 4 = 7*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*o = 2, -501*o - 504*o + 1000*o = 2*d + 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -6.7. Let y = v + -0.30036. What is y rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 2. Let o(p) = -12*p + 25. Give 2*b(d) + o(d).\nAnswer: -10*d + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**(-7)\/p*p)\/p))**(-1\/5))**34 assuming p is positive.\nAnswer: p**(-272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/711238 and 93\/23512?\nAnswer: 2844952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6\/59 + -661\/118. Calculate the common denominator of 73\/9 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Let i = -1 + 13. Suppose 7*f - 3*f = i. What is the third biggest value in 1, f, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 187*z**3 - 3*z**2 - 5*z + 29. Let j(y) = -376*y**3 + 6*y**2 + 9*y - 48. Calculate -5*b(g) - 3*j(g).\nAnswer: 193*g**3 - 3*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i**2 + 2*i + 1)*(131 - 177 + 811).\nAnswer: -765*i**2 + 765","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1279*a**3*q**2 - 20873*a**3*q + 11087*a*q**2 - 158*q - 2 wrt q.\nAnswer: -2558*a**3 + 22174*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 487913976?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s**2 - 7*s + 7. Let p(m) = -m**2 + m - 1. Let i be (-10)\/(-35) - (-288)\/21. Calculate i*p(u) + 2*c(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-32\/5)*z**(-6\/11)*z*z)\/((z\/(z\/(z*z\/z**25*z*z*z)))\/z*(((z**27\/z)\/z)\/z)\/z*z) assuming z is positive.\nAnswer: z**(322\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-6))**(-3\/34)*(t\/(t\/t**10)*t*t)\/t*t*t\/(t*t**(-2)*t) assuming t is positive.\nAnswer: t**(457\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h - 2. Let q be (-15)\/9 + 2 + -2. Let a = 43.16 + -43.06. What is the nearest to a in h, -2, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**4 - 171735*y**3 + 858840*y**2 + 1373840*y - 8244480 = 0.\nAnswer: -34352, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 9) in base 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 5. Let p be z(-7). Suppose 13 = p*h - 1. What is the remainder when 27 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*30\/(-24)*216\/(-90).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1232645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 34\/4*(5 + -7 - 2). Let q = -29 - f. Let u(h) = -h**2 + 5*h - 4. Calculate u(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305136 (base 13) to base 10.\nAnswer: 1125078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 12*p - 16*p = 19, 0 = -3*o + 3*p + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 21005115?\nAnswer: 42010230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n. Let b = 28 - 26. Let a(t) = -2*t**2 - 8*t**2 - 9*t**b. Determine m(a(c)).\nAnswer: -38*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/319273 - -48528341\/122920105. Let s = 6\/55 - o. Which is the nearest to 2\/5? (a) s (b) -1 (c) 5 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**27\/r)\/r*r)\/r**(1\/3) assuming r is positive.\nAnswer: r**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 10*s - 3. Let m be o(-10). Let u be 20 + 3 - m - 2. Find the second derivative of 24*h**3 + 3*h - h**4 - u*h**3 wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**23\/m))**(-5\/9)*m**(4\/7)\/m*m**(6\/5) assuming m is positive.\nAnswer: m**(1306\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1) + 115 + -5. Suppose 0 = 3*c - 159 - i. Calculate the greatest common divisor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*h*q**2 + h + 50*q**2 - 2 with respect to h.\nAnswer: -12*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from wqlrlldwswldl?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282549578.\nAnswer: 2, 6323, 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 159770.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (64\/6)\/(2\/90). Round m to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*c = -4 + 57, -2*c = 5*z - 52. Suppose z*a = 13*a - 48. What is the highest common factor of 128 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -568 (base 12) to base 5\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0*l**5 + 0*l**4 + 0 - 8*l**2 + 4\/3*l**3 + 0*l - 1\/120*l**6. What is the first derivative of g(x) wrt x?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 18. Suppose 0*l + g = 4*l. Suppose -16 = l*y - 4*y. What is the remainder when 61 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10475502 to three decimal places.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8732824 and 5458015.\nAnswer: 43664120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78384 and 2484?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7692993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/12322 and 137\/12.\nAnswer: 73932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -2099010.2.\nAnswer: -4198020.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18665*a**3 + 16199*a?\nAnswer: 111990*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u - 48. Let t be 4*3\/u - (-9)\/(-12). Solve 3*n - 5 = -5*a + 4, t = -2*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 319715 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5400844 (base 11) to base 6\nAnswer: -535403253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.65974198 to 4 dps.\nAnswer: 1.6597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8682884 or 8682904?\nAnswer: 8682904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a day in minutes?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*w = 113555, -193061 - 90833 = -5*g + w. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -53 + 5 + 0 - (84 - 0)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 28. Solve 8 - m*r - 8*r**2 + 6*r**2 + 6*r = 0 for r.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3 + 0 + 0)*(-25*g - 16 + 16).\nAnswer: 50*g**2 + 75*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 1)*(-205)\/410\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7788 + 1.8506. Round h to 2 decimal places.\nAnswer: -1.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*r - 648. Suppose -2*f + 0*f - r = 0. What is the remainder when (-4 - -3)\/(3\/f) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 42312380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 2*w + 23 - 8 - 24 - 10*w**4 - 12 as z*w**4 + j*w + y*w**2 + a*w**3 + v and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -552*t**5 - 267839 + 267839 + 411*t**2 wrt t.\nAnswer: -33120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/9 - 434\/(-6). Let c = q - 70. Put -24, c, -2 in descending order.\nAnswer: c, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 49\/30, -2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j - w + 311, -3*j - 5*w = -229. Suppose 12 = 6*o - j. Let y = -1 + 9. Solve 0*g + 2*g - y = 0, -u + 3*g = o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from jbebyby?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 4996 + 4917 = -2*j, 8*z - 94 = -2*j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.283 and 0.5.\nAnswer: -0.1415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 17 - 3. Put -4, -10, x in increasing order.\nAnswer: -10, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfn. Give prob of sequence fn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42503905, -42503908, -42503913, -42503920, -42503929, -42503940?\nAnswer: -42503953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2286961 is divided by 457383?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6448 and 3265664?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 15*i**3 - 2*i**2 + i. Let c be x(1). Let r = c + -12. Solve 3*n + 14 = -4*p, -r*p = -3*n - 1 - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -873267 (base 14) in base 11?\nAnswer: -2649206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005339 rounded to 6 decimal places?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -61.8, 32, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -41. Suppose h - 2 + m = 5*p, 2*h + 4 = 4*p. Solve -2 = b - h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22546 - -22545.8. What is the closest to -1 in -53\/4, -1\/4, l, -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m + 1. Let x be y(-1). Let g = -4 + x. Solve 0 = -5*q - 4*l - 24, -l + g*l - 7 = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9765?\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1203676024*u**5 - 80630140*u wrt u?\nAnswer: 24073520480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185951 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 593406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -2. Suppose 0 = -x + m + 12. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (5 - -4) - (-3 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 100, 50, -12, -92, -196?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 3 = 2*a - n, 15 = -3*a + n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -607185 divided by 3?\nAnswer: -202395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/10 in -136, -0.2, 3, -17, -5\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 54?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-5)\/(30\/4)). Suppose -3*x + 6*x + 11 = 5*k, 5*k + 4*x - 32 = 0. Solve -t + k*t = -w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 350778 and 14934?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d50d69e - 4?\nAnswer: d50d69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 5*i**2 + i. Let b be j(5). Suppose 152 = 3*z + u + 25, b*z + 3*u - 205 = 0. Calculate the remainder when z is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-6))\/((-4)\/6). Let k be 1*(-4)\/2*w. Let m(f) = -3*f**2. Let o(n) = 13122*n**2 - 26244*n**2 + 13121*n**2. Give k*o(t) + m(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5700, -5701, -5702?\nAnswer: -5703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 - -0.2. Let k = 1.26 - o. What is the smallest value in k, -0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2945930 is divided by 981968?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**1*g)*g)**(-2\/11)\/((g*g**(-1\/13)*g)\/g**(-4\/5)) assuming g is positive.\nAnswer: g**(-177\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 289*r - 291*r + 97, -5*z + 93 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let i(u) = 147954*u. Determine x(i(r)).\nAnswer: 147954*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.90878 years to months.\nAnswer: 490.90536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20801, 42394, 64779, 87956, 111925, 136686, 162239?\nAnswer: 188584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*p + 44*p = -90 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-4))\/(6\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1948175 or 1948162?\nAnswer: 1948175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {q: 1, o: 1, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4313135 - 2?\nAnswer: 4313133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*w + 4*q - 99, q = -2. Let v = w - -36. Calculate the remainder when 50 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -551*j**4 + 220?\nAnswer: -2204*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2 + 242 + -237.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (196\/(-21))\/((-36)\/27).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.94 + 0.06. Let w = -3523 - -3522.5. Sort w, 1, 0, n.\nAnswer: w, 0, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2 = 2*x, 4*c + 4*x + 4 = 8*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -160 - -2?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51185904149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4141 and 48.\nAnswer: -198768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**3 - 25*d**2 - 48*d - 328. Let v be z(-8). Let y(j) = -6 - j - 2 - 14*j + 3*j**2. Let l(r) = -r**2 + 5*r + 3. Calculate v*l(t) - 3*y(t).\nAnswer: -t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2287.29 and 0.66568.\nAnswer: -2286.62432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 6:52 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56926782?\nAnswer: 2, 3, 11, 107, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4836 and -0.1.\nAnswer: 483.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*u**2 + 2*u**4 + 6*u**2 + 2*u - 21*u**5 + 13*u**2 wrt u.\nAnswer: -1260*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3341 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -2*a - h - 66, -60*h = -4*a - 248 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - 2*k + 2. Let f(l) = -2*l - 18. Let h be f(-8). Let z be h\/(-4)*-4*4. Let g(u) = 6*u**2 + 5*u - 6. Calculate z*b(m) - 3*g(m).\nAnswer: -2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2101400 to the nearest ten thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -372a649 + -3?\nAnswer: -372a64c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/81518 and -77\/10.\nAnswer: 407590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.28, -5, 26, -4\/3.\nAnswer: -5, -4\/3, -1.28, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 2*r + 3. Let u be f(0). Suppose 0 = 2*d + 5*h - h - 168, -228 = -u*d + 2*h. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1353833*t**3 - 12*t - 1 + 1166*t + 1353834*t**3 as i + f*t**3 + s*t**2 + d*t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from eyyeeyyyyeeey?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -68 - 14 - -56.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m + 93. What is x(-12)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u + 1 - 1)*(-1 + 2 - 3) + 0 + 2*u + 0 - u + 6 - 6 - 259 - 7*u + 259 + (3 + 2 - 3)*(u - 3*u + 3*u) - u - 1 + 1)*(u**2 + 2*u**2 - u**2).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t - 27. Let f be c(-13). Suppose f*y + 20 = 33*y. Is (y + 2 + 1)\/(6\/(-4038)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6) - ((sqrt(240)\/sqrt(4))\/sqrt(10) - sqrt(6)))*1)\/(sqrt(243) + (-2*sqrt(243) - sqrt(243))*-4 + sqrt(243)))**2.\nAnswer: 1\/7938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 14*i**3 - 61*i**2 - 54*i - 42. Let s(a) = 5*a**3 - 21*a**2 - 18*a - 14. Let p(f) = 17*s(f) - 6*z(f). Let d be p(-6). Solve -d = -u - 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 9:47 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -2*m + 2*g, 2 = -2*g. Suppose -m*c = -0*c + 2*i - 18, -i = -2*c. Suppose 0 = -2*q - c*q + 20. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1572 = 5*z + 2*q - 1550, 3*q = 2*z + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1921 = 8*b - 1953. Solve 2*o + 11*h - 14*h = 14, b*o - 8 = h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose -2*d + m = -5 + 4, 3*m = -g*d + 21. What is the derivative of -2 - 4*l**3 - 2*l**3 + 3*l**d wrt l?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, s: 1, z: 1, a: 3, r: 2}. Give prob of picking 2 r and 1 l.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2563 + -4?\nAnswer: -2600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3031.5701 rounded to the nearest integer?\nAnswer: -3032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 13559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 9*r**2 + 5*r - 3. What is the units digit of b(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*r - 12 = 148*r. Sort -6, r, 2 in descending order.\nAnswer: r, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 25 = 7. Let c be (2\/6)\/((-2)\/z). Suppose c*k + 15 = 4*k. Solve -4*l - l = -k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*w - 3*i, 16*w - 30 = 18*w + 3*i. Let j(m) = m**3 + 11*m**2 - 12*m + 4. Give j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63652906*r + 33800898 wrt r?\nAnswer: 63652906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -91\nAnswer: -27\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 79.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-14)\/(v**(-4\/9)\/v))\/(v**(-11\/2)*v\/(v\/v**13*v)*v))**(1\/24) assuming v is positive.\nAnswer: v**(-361\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3679382558 to the nearest integer?\nAnswer: 60658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76681 and 121?\nAnswer: 843491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 4, 5, 5880, 1, -4 in descending order.\nAnswer: 5880, 5, 4, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -28. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzpppjpzj. What is prob of picking 2 p and 1 j?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -1. Let c = t - 0. Let r = c + 39. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3428 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34\/5 of a decade?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -26. Let o(p) = -p**3 - 7*p**2 + 9*p - 7. Let w be o(y). What is the tens digit of (-187)\/(-5) + w\/(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -389*r**4 - 3*r**3 - 1584*r**2 - 470*r - 64969 wrt r?\nAnswer: -4668*r**2 - 18*r - 3168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 393. Let k = -172 - 401. Let b = v - k. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -40*r + 10*r - 25*r**2 - r**3 - 18 + 27. What are the prime factors of h(-24)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 31 - 10 + (3 - 2 - 2)*(-2 + 3 + 3))*(-n + 0*n + 0*n) as x*n + j and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -241*z + 345. Let m(x) = -361*x + 518. Let a(k) = -5*m(k) + 7*p(k). Differentiate a(t) with respect to t.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 2*n + 2*t = 14, n + 4*t = 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -28. Let v = -9 - -5. Let t = -1 - v. Calculate the greatest common divisor of f and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 68. Let b = 120 + z. Suppose 8*k - 4*k = b. Calculate the greatest common divisor of 117 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2793) - sqrt(2793)*-3)\/(-2*sqrt(108)).\nAnswer: -7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*i, -3*i = -i. Solve 0*j + 15 = -3*d - 3*j, 2*d + 5*j + 10 = h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {j: 13, n: 5}.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 times 9.92?\nAnswer: 1299.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186978 and 19304062.\nAnswer: 5666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0*u + 1 + 4*u)*(-2*u**4 + 5*u**4 + u**4).\nAnswer: 16*u**5 - 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*s**3 - 377*s**3 - 5*s + 5*s.\nAnswer: -570*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Suppose j*u + 48 - 165 = 0. Suppose -2*h + 139 = u. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 12 = 6. Suppose 0 = -2*p + 3*m + l, 3*m - m = -3*p + 16. Suppose 0 = 4*y + p*z - 252, -2*z - 7 = -1. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -8 (b) 32163.2 (c) -1\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 8 = -5*n + 1, 0 = 4*v + 4*n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 25 + 255. Suppose 4*d - j + 195 = 0, 5*d + 228 = -j - 3*j. Let c = p + d. Calculate the least common multiple of 3 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36381 and 67.\nAnswer: 36381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 253200 divided by 400?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/11)*k**(1\/3))**(-21\/8) assuming k is positive.\nAnswer: k**(-7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s)**(3\/20)\/(s**(1\/2))**(22\/3) assuming s is positive.\nAnswer: s**(-247\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -246.8 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -535? (a) 0.2 (b) -0.3 (c) 5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 12:13 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 876 = 3*m, 0 = -5*o + 3*m + m - 4369. Let r = 1491 + o. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 q when three letters picked without replacement from qllllqll.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 - 3.15. Let w = -0.08 - -0.16. Which is bigger: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 25 = u, g - u + 16 = 0. Let l = -6 - g. Let z = -9 + 12. What is the remainder when l is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than 1.273397?\nAnswer: -5.726603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + 21. Calculate the remainder when m is divided by 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*y - 9 + 75, -p = 3*y - 30. What is the smallest common multiple of 612\/42 - (-12)\/(-21) and p?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6458 and -23678 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.46 - 166.54. Let u = k - -167.96. Do u and 22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 253*k + 72. Let z(r) = 63*r + 15. Determine 2*d(u) - 9*z(u).\nAnswer: -61*u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 141*r**5 - 4224*r**4 + 35493*r**3 - 57702*r**2 + 25116*r + 1176 = 0. What is r?\nAnswer: -2\/47, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37471809 and -0.4.\nAnswer: -14988723.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 34*b - 5*c - 190, 0 = -5*c - 330 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 26*l**2 + 22*l + 142. Let u be j(27). Solve -u*o = -5*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than 788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.1 (c) 1 (d) 3 (e) -19 (f) -27 (g) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*1 + ((-1456)\/(-70))\/(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121\/(-33) + 20\/(-60)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 26. Suppose -v - 46 = w. Let o = -26 - v. What is the highest common divisor of o and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*m**5 + 114*m**3 - 114*m**3 + (3*m - 4*m**2 - 3*m)*(44*m - 44*m - m**3).\nAnswer: 12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*h*j + 115*c**3 - 4*c**2*h*j - 2*c**2 + 25*h wrt c.\nAnswer: -12*h*j + 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 1)*(2*b + 7*b - 3*b) + (-2*b + 3*b + b)*(-5 + 3 + 1))*(2*b**2 - 5*b**4 - 7*b**4 + 6*b**4).\nAnswer: -24*b**5 + 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*b + 15, 4 = -59*n + 58*n - b. Let t be (n\/((-100)\/45) - 2)*12. Factor 3 - 3\/5*a**t - 33\/5*a + 21\/5*a**2.\nAnswer: -3*(a - 5)*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 6, 34, -7, -4 in decreasing order.\nAnswer: 34, 6, -1, -4, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6 = -9. Sort v, -7, 5 in decreasing order.\nAnswer: 5, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + 18 = 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -15149491 < 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031548 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, 25.\nAnswer: 2, 10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 415220 and 2080?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/(-35))\/((-1)\/10). Let d(i) = i - 12. Calculate d(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 5:34 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/(-300) + (772\/(-60) - 3). Put -4, j, 3, 19 in decreasing order.\nAnswer: 19, 3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11668 is divided by 312.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 19 = 1. Suppose -2*t = -p*w - 32, -w - 55 = -4*t + 4*w. What is the greatest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485024 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p*(((p\/p**(-11\/3))\/p)\/p*p)\/p*p))\/p)\/(p**(-3\/4)*p))\/(p**(1\/6))**(-37) assuming p is positive.\nAnswer: p**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3\/19 + 1564*h**2\/19 - 314930*h\/19 + 3557400\/19 = 0?\nAnswer: 12, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2765706 is divided by 420.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -528*c + 133*c - 7505 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -333904, -23 in increasing order.\nAnswer: -333904, -23, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2943 (base 15) to base 2.\nAnswer: 10001010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 54*q**2 - q - 3. Let m = -491 - -464. What is the remainder when (-425)\/(-3) + 6\/(-9) is divided by u(m)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 12. Let i = -3 + y. What is the nearest to 0.1 in i, 3, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1562148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-2 - 1 - -6)) + 4 + (-52 - -22)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577285378?\nAnswer: 2, 1601, 180289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 666.5197 hours?\nAnswer: 39991.182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*u*z**2 - 23*u*z + 2*z**2 - 2*z wrt z?\nAnswer: -194*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -2, -4, -103, 2\/7, -7, 1\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6340 + 3?\nAnswer: -6335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**3 + 3*c**3 + 3 - 9*c**2 + 28*c**2 - 3*c**2 + 23*c**2.\nAnswer: 12*c**3 + 39*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*x - 458 = 0, 2*k - 461 = 4*x + 431. What is the remainder when k is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/17)*n*n\/n**(2\/13))\/(n*n**(-3)*n**(-9)))**(-2) assuming n is positive.\nAnswer: n**(-6068\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7856997 is divided by 2618975?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28\/303 or -13872?\nAnswer: -28\/303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*g - 2*g - 5*n, 5*g - 2*n - 54 = 0. Let v = -10719\/8 - -1344. Find the common denominator of v and g\/(-252)*(-213)\/(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 - (-5 + (-14 - -91))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1377)*2 + 3)*4 - (-5*(sqrt(1377) - ((2 + sqrt(1377) - sqrt(1377)) + sqrt(1377) + 4)) + -2))**2*-2.\nAnswer: -179456 - 11520*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, b: 1, k: 1, y: 1, s: 1, p: 2}. What is prob of sequence bk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 + 11)\/(1\/(-1)). Let m be 35*p\/((-1)\/3). Let d(y) = -52*y + 42. Let n be d(0). What is the greatest common divisor of m and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o - o)*(-4 + 3 - 1) - o + 1 - 2*o + 4*o.\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 13*f**2 + 5*f - 31. Give q(5).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 197*h**3 - h**2 - 158 wrt h.\nAnswer: 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 divided by -53.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -4) + 18 + 20.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -27. Let p = -0.41 + 0.01. Which is the smallest value? (a) -4 (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2373 (b) -149 (c) -2\/237\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + -3 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v = -58 - 67. Let j be -17 - (v\/(-10))\/(2\/(-12)). Let r(l) = -11*l**3 + 3*l**2 - 3. Let p(u) = -76*u**3 + 20*u**2 - 20. What is j*r(s) + 3*p(s)?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 38. Calculate the least common multiple of 9 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 8025.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -0.7. Let z = -0.7 + p. Let l = 0.06 + -0.06. What is the biggest value in l, 2\/9, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h = 0. Suppose 0 = -h*a - 4*a - 4. What is the third biggest value in 0.2, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*m - 4 = 0, 2 = u + m - 1. Let r be u*(-2 - -1) - -13. List the prime factors of r*-2*3\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 246805493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 111653*r**2 + 261521?\nAnswer: 223306*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -242142\/17?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11378460 by -10.\nAnswer: 1137846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 18\/(-4))\/((-2)\/2). Let x = -1\/6 + y. Let n = 221\/3 + -73. Which is smaller: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v - 6. Let h = v + 1. Solve 5*l + 1 = -4, 17 = h*p - 5*l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtgddtvbtbgvg. Give prob of sequence ddb.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 - 2*i**2 + 12. Suppose -15 = 3*l, -5*l - 4 = -h + 20. Let w(g) = 1. Determine h*k(v) + 10*w(v).\nAnswer: 2*v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2095*o**3 + 4*o**2 + 17*o - 16. Calculate the least common multiple of v(1) and 70.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 211657097517 - 211657095818.99999291. Let s = -1698 + l. What is s rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242165 and 770.\nAnswer: 484330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*d = d + 9, 15 = -5*d. Let l = -144\/35 + 22\/5. Is r greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 31\/155 - 2\/10*131. Let m = g + 39. What is the greatest common factor of m and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355250000 rounded to the nearest 1000000?\nAnswer: 355000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -30. Is 3\/i - 40575\/(-60) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -38. Let o(w) = w**3 + 7*w**2 + 3*w - 13. List the prime factors of o(h).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12b - 31dc?\nAnswer: -30b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15*(-8)\/5)\/(-5))\/(12\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.91 - 17.8. Let p = 255.21 - 257. Let j = f - p. What is j rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -361964, -723927, -1085890, -1447853, -1809816, -2171779?\n\"Answer: -361963*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 644 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68215 + 22841 = 5036*u - 1784*u for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i + 5. Let o be y(2). Let r = 18 - o. Which is the nearest to -1? (a) 2 (b) -6\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x + 36. Give t(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27130723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 251562*q - 174750381.\nAnswer: 3*(q - 689)*(q + 84543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*l + 4*l, 5*k + 5*l = 25. Let s = 10 + -18. Is s less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 62*t**2 - 13*t - 8. Let v be c(-4). Is v < 1036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + d - 1. Let i(b) = -3*b**3 - 4*b**2 - 2*b + 4. What is -i(l) - 4*k(l)?\nAnswer: 3*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = -14*s + 11*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178740 = 885*l + 2232*l - 1793*l for l.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q*y**2 - 38175*q*y - 249914*q wrt y.\nAnswer: 2*q*y - 38175*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**2 + 8*i - 1. Let d(j) = -3*j**2 - 4*j + 1. Let f(w) = -5*d(w) - 2*v(w). Let k(l) = l**3 - 5*l**2 - 7*l + 5. Determine -5*f(t) - 3*k(t).\nAnswer: -3*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {i: 3, w: 4, n: 13}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1024, 1410, 1796, 2182?\nAnswer: 2568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 - (29 + (0 - -19)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13359077 to the nearest integer?\nAnswer: 3655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*q*y**4 + 10*q*y**3 + 3*q*y**2 + 7*q*y + 2*q + 52*y**3 - 2995 wrt y.\nAnswer: -1176*q*y + 60*q + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 1408 = -8*h + 1318 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6600 divided by 1650?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4828 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.3 and -5.\nAnswer: -21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1571053, -3142102, -4713137, -6284152, -7855141, -9426098, -10997017, -12567892?\n\"Answer: p**3 + p**2 - 1571059*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 1 = -s. Let x be (s\/((-35)\/(-20)))\/(2\/(-15)). What is the tens digit of 32\/240 + 2276\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -54707 divided by -5?\nAnswer: 54707\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237 (base 12) to base 15.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.2 (c) -2\/9 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010100020 + -202?\nAnswer: 10010022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - -2) + -3 - (-1130 + 1121)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = x + 7, 0*x - 4*x = 4*j + 20. Suppose 0 = -8*d + 2*w - 44, -2*d - 5*w - 8 = -6*w. Sort x, -5, d in descending order.\nAnswer: x, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(6\/(-6))\/(-25)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3720 and 15965?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 6:45 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 7*h**4\/12 + 10*h. Let r(a) = -2*a**2. Give y(r(x)).\nAnswer: 28*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.011 - -0.011. Let m = -0.12 + 0.42. Let o = 27 + -28. What is the closest to d in 2\/5, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 126, 6, 5, -9 in ascending order.\nAnswer: -9, -3, 5, 6, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6714.\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (34 - 12)) + 2 + -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3367 a factor of 264558658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + y - 3. Suppose p - 2 = -4*i - 18, 3*p + i + 15 = 0. Let q be o(p). Find the second derivative of -q*m - 30*m**2 + 16*m**2 + 4*m**2 wrt m.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 206*f - 2. Let u(c) = 2*c**2. Calculate y(u(r)).\nAnswer: 412*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4352 in -0.035, -1\/7, -4?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3263 + 3260. Let o = -6 - -6.2. Which is the third smallest value? (a) v (b) o (c) -1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -5, -7 in increasing order.\nAnswer: -7, -5, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l**3 - 12*l**2 + 3*l + 24. Let r(j) = -19*j**3 + 23*j**2 - 7*j - 49. Let w = -206 + 193. Let o(c) = w*h(c) - 6*r(c). Factor o(m).\nAnswer: -3*(m - 6)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -19*n**3 + 9*n**3 + n**2 + 12*n**3 - 12 in the form w*n + z*n**3 + s + p*n**2 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-16)\/(z**(-12\/11)*z) assuming z is positive.\nAnswer: z**(-175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + j)*(1 - 4 - 4).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32923659852090 and -3?\nAnswer: 32923659852093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27715 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 35*b**2 - 2*b. Let g(p) = -3*p**2. Determine m(g(v)).\nAnswer: 315*v**4 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26074256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 440, 432, 416, 392, 360?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5\/11 + 67410*l**4\/11 + 567979804*l**3\/11 - 568114628*l**2\/11 - 567979806*l\/11 + 568047218\/11 = 0. Calculate l.\nAnswer: -16853, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25664 - 25738. Which is the closest to z? (a) -2 (b) -0.5 (c) 5\/6 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 184*w**3 + 3*w**2 + w - 1. Let k be i(-1). What is the tens digit of (2 - (k - 2)) + (-8)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*s + 181, -5*s + s - x + 151 = 0. Let t be ((-3)\/3)\/((-2)\/(-4)) - 0. Let c = 12 + t. Calculate the remainder when s is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -528*c**3 - c**2 - 5*c - 4. What is the tens digit of m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 6*m - 109*m**2 - 121*m**2 + 228*m**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 67\/3 - (-1)\/(-3). Let q = 262 + -229. Calculate the highest common divisor of n and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2382 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*k - 18, 4*f = -5*k - f + 35. Let z(n) = n**2 + 0 + 2*n - 1 - 3*n**2. What is z(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0 + 5. Let l be 6*(0 + 6\/4). Suppose -3*c - l = -3. Sort c, 2, z in decreasing order.\nAnswer: 2, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/509 at most 0.145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*44\/6*64\/40*15\/160?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/126 and 155\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3814*z + 3000*z + 2390*z + 45704 = 0 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l**2 - 59*l**2 + 4*l**3 + 29*l**2.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 20*j**3 + 3*j**2 - 255*j + 251. Give t(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -29351988.\nAnswer: -1\/14675994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*q - 14. Let u(t) = -t**2 + 10*t - 7. Let n be u(q). Let l = -2 + n. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - h = -14, -2*y - 3*h = -0 - 22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 3*m**2 - 2*m**2)*(2801 - 756*m - 2801).\nAnswer: -1512*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62.2 + 62. Let g = -13 - -27\/2. Put m, 3\/4, g in ascending order.\nAnswer: m, g, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, -889, 5\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 4:19 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1290*h**2 + 1922*h wrt h?\nAnswer: 2580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142 - -145. What is the nearest to b in 2\/11, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 9*k**3 + 3*k**2 = 0?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20 + 4)\/(-1 - (-45)\/43). Suppose -2*q = -8*q + 114. Suppose g = 13*l - q*l. Is l at least as big as -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-225)\/25 - 4669)\/(2\/(-3)).\nAnswer: 3, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9935360 is divided by 343.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n + 1. Let g be p(7). Suppose 2*x - 12 = g. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p - 4. Let i be t(3). Let d = i + -13. Find the first derivative of -2 + d - 5*v**4 + 8*v**4 wrt v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12492316 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - -8) + (-81 - -58)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.51 + 0.562. Let f = 0.0614 - d. Round f to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**4\/84 - 5*i**3\/21 + 25*i**2\/14 + 10*i - 1. Factor x(d).\nAnswer: (d - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -52321\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j - 19. What is t(-15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 23, 100, -5 in descending order.\nAnswer: 100, 23, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 3:35 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64264 is divided by 459.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*n**5 - 101*n**4 - 80403*n?\nAnswer: -1120*n**3 - 1212*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from xmuuxxuxxm.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 842, 4785, 11842, 22013, 35298?\n\"Answer: 1557*c**2 - 728*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217 by -3.\nAnswer: -217\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47082041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1778*u - 15229 + 26205 = 122990 for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**5\/4 - c**4\/4 + c**3\/2 + 919*c. Give d(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, -2\/5, -4381?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2) + (5 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * 3.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1821.\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14609395?\nAnswer: 5, 2921879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(220)*2 + sqrt(220) - sqrt(55))\/(sqrt(15)\/sqrt(3)*-4) + -1 + -1).\nAnswer: 6 + 15*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 - 39*s + 167. Calculate k(4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/7)*n*n**6)\/(((n**3\/n)\/n)\/(n*(n**3\/n)\/n)))\/(n\/n**(-1\/4)*n**(-2\/9)*(n\/(n**(-3)\/n))\/((n\/(n\/n**(-2\/5)))\/n)) assuming n is positive.\nAnswer: n**(1441\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30481 - -42958. What is the ten thousands digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 4. What is the units digit of j(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r**2. Let l(f) be the third derivative of -f**8\/4032 - f**5\/4 + 6*f**2. Let z(i) be the third derivative of l(i). What is k(z(b))?\nAnswer: 200*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g*k**4 + 9773*g*k**3 - 60545*g - 2 wrt k?\nAnswer: 4*g*k**3 + 29319*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1282182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -301936*q**3 - 1971991.\nAnswer: -905808*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*w**3 + 642 + 31*w**3 - 642 - 52*w**3.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1929 times -0.02?\nAnswer: 38.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -15. Let o be (1\/(-2))\/(w\/(-4224)). Let h = o - 2105\/6. Find the common denominator of 4\/9 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8 and -84?\nAnswer: 151.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (38\/(-57))\/(2\/3) + 5. Calculate the highest common divisor of 10 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 17*p + 6. Let b(o) = 18*o + 6. Let n(a) = 3*b(a) - 4*c(a). Let q(t) = -5*t - 2. Let s be (6\/7)\/(3\/21). Give s*n(h) - 17*q(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7873 divided by -45.\nAnswer: -7873\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 - -117. Suppose 2417 = z - p - 4*p, -3*z = c*p - 7291. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 0, -4, -0.05, 7\/7057, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149.7 - 143. Let g = 0.7 - x. Let i = g + 5.999997. What is i rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 346845015 by -433015.\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.31 + 26.69. Let f = 6209311761.00000051 - 6209311788. Let x = h + f. What is x rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 136*y - 34268 - 1364. What is the remainder when y is divided by 77?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 3127\/885*-15?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 not equal to 280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1\/5, 0.1, 1, -0.023?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j + 1 - 2 + 2*j + 3. Let n be -5 + -4 - (-1 + 1). Let k = n - -12. Calculate c(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 3, -2\/217, -7?\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 8*c**2 - 8*c + 2. Let y be h(6). Suppose 0 = 4*i - y - 454. Calculate the greatest common divisor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**4\/48 - 11*c**3\/8 - 4*c - 1. Suppose p(n) = 0. Calculate n.\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*y = 844 + 686 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + -2 + (0 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w**5\/2 + 21*w**4\/2 + 142*w**3 + 134*w**2 - 16*w - 32 = 0.\nAnswer: -2, -1, -2\/3, 4\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 3 - 2)*(1095*r - 177799 + 177799 + 137*r) as d + m*r and give m.\nAnswer: 7392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 0 - 24*a**2 + 4\/7*a**3 + 320\/7*a = 0.\nAnswer: 0, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -266\/11, 4\/7, 3\/5, -2 in descending order.\nAnswer: 2\/3, 3\/5, 4\/7, -2, -266\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00104955 to five dps.\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4907 times -11066\nAnswer: -54300862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105857 and 481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 432 divide 1174380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 164?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 4:11 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3048 is divided by 1505.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from zrordob.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/14 + (-1)\/((-21)\/1077). Calculate the greatest common factor of 34 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -7. Suppose 3*p = 4*v, -5*p + 2*p = 0. Suppose 5*f - 55 = -v*x + 5*x, 2*x = -f + 2. Calculate the smallest common multiple of o and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6472 - -6801. Calculate the greatest common factor of 423 and r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1301070, -1301066, -1301062?\n\"Answer: 4*i - 1301074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.12048 * 0.315\nAnswer: -0.0379512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-8 + 23 - 15 - 1613*g).\nAnswer: 1613*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**5\/110 + 7*y**4\/66 + 14*y**3\/33 + 8*y**2\/11 + 141*y - 2. Determine m, given that i(m) = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48 - 22) + -24 - -28) + (0 - (10 - 1))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((35136\/61)\/(-16))\/(33\/(-2)).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**5 - 2648*v**4 + 435588*v**3 + 879136*v**2 + 440896*v.\nAnswer: 4*v*(v - 332)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47555?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(6\/11))\/n)**(1\/4))**(-1\/32))**(-17\/5) assuming n is positive.\nAnswer: n**(-51\/3520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.3 (c) -57 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -10, t + 6*z - 2990 = z. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/42)\/(1\/(-27))*2*60\/20.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 52 = -38. Let a be (r\/(-35))\/((-9)\/42). What is the second derivative of 6*g + 3*g + 2*g**a + 4*g**4 + 2*g**4 wrt g?\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -47729511, 0.2?\nAnswer: -47729511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254 - 22*c - 500 + 246 - 24*c.\nAnswer: -46*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/7)\/(968\/(-1232)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/6)\/((-6)\/9). What is the nearest to u in 5, -3\/5, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1874217 (base 12) to base 3\nAnswer: 100122120200101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 126001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*m + 10*t - 6*t - 400 = 0, -251*m = -253*m - 5*t + 24 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-204)\/(-51)*(3 - -1560)?\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 8*g**2 + 2*g - 15. Calculate v(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1898 is divided by 55?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) -62.7 (c) 421 (d) 4 (e) -2 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4688.7 and 328.259.\nAnswer: 5016.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/136*-116 + 4\/(-102)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 37*x + 34. What is z(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324 - 18439281395.\nAnswer: -18439281719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b + 23*b - 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((49 - 102) + 31).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -10011011100000010010001 (base 2) in base 6?\nAnswer: -301114333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7256, -7256, -7264, -7286, -7328?\nAnswer: -7396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3065*(12\/(-16) - (-117)\/(-52)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k + 30. Suppose 0 = -2*p - 4*o + 8 + 4, -4*p = 3*o - 14. Suppose 0 = p*w + k - 102. What is the remainder when w is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 10*k**2 + 10*k + 13. Let u be a(-9). Solve -4*h - 4 - u = 2*c, -4*h = -4*c + 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 1122?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(0 + 3 - 1)*(-14 + 25 - 9 + 4*j**3 - j**2).\nAnswer: -8*j**3 + 2*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68.7 and 0.7?\nAnswer: 48.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358130*l - 358131*l + 21 + 23*l**2 + 26 - 47.\nAnswer: 23*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 24295 = 2*k - 3*k, -97117 = -8*f - 5*k. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 0. Let c = -429 - -3009\/7. Calculate the common denominator of (3 - (-53)\/j)\/1 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 1 + -9 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12758*(-5 + 26\/4 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -0.11, -3\/2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -224*v**2 - 47776 + 47776 to p + h*v + f*v**2 and give f.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2, 2\/5, -0.26, -2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 6 + 2 = 4*o, 16 = 5*o - 2*z. Suppose -3*x - o = 2, 2*m + 5*x - 2 = 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 18*z - 15. Let c be a(-10). Solve -22 + 12 = c*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 309*l - 14. Is k(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*j**4 - 25*j**3 - 6*j**2 + j - 4517 wrt j?\nAnswer: 228*j**2 - 150*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 747132450?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 6:38 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.9, 0.2391, 0.1, 0.11 in descending order.\nAnswer: 1.9, 0.2391, 0.11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110005438 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2566, 7997, 17044, 29713, 46010, 65941, 89512?\n\"Answer: h**3 + 1802*h**2 + 18*h + 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.7 - 2.9. Let o = q - 1.8. Let x = 678 + -677.9. Which is the nearest to 1\/2? (a) x (b) o (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 2\/13 (b) -5 (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, f: 3}. Give prob of picking 1 m and 3 f.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2733168803 to the power of 1\/3, to the nearest integer?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3)\/(-7)*(-3)\/120*40?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -1 - 10) + (-185 - -196) + 0 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 + 4*d. List the prime factors of c(-6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90808*z**2\/11 + 45552*z\/11 + 74\/11.\nAnswer: 2*(2*z + 1)*(22702*z + 37)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6632197 is divided by 6632183?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 18 - 6 = 0. Suppose -x + 7*g - h = 11*g, 3*g = -5*x - 26. Sort -3, -10, 4, x in decreasing order.\nAnswer: 4, -3, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - 168. Let g = -46 - n. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -8434067?\nAnswer: -84340.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1 = -2*d, 3*d - 16 = -7. Let y(c) = -c**2 + 2*c + 67. What is the least common multiple of 3\/(-6*v\/4) and y(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873*c = 655*c - 343*c - 14421 - 32979 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 911.4076859812.\nAnswer: 911.6076859812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 494, 1910, 4268, 7568, 11810, 16994, 23120?\n\"Answer: 471*x**2 + 3*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(4455))\/sqrt(11) + (sqrt(5) + sqrt(5) + 5 + sqrt(5)*4)**2 + -4.\nAnswer: 201 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j + 5*n + 217 = 0, 0 = -j + 2*n + 55. List the prime factors of j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 18*y + 1171. Give z(-68).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 586926*g + 5282332. Determine w(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -817\/6 - -456691\/3354. Let p = h - 2787\/2236. Let v be (-2)\/78*(-17)\/(221\/(-78)). What is the closest to 0 in p, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12297, 3\/8, 0.2 in ascending order.\nAnswer: 0.2, 3\/8, 12297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10011011011001101011?\nAnswer: 10011011011001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 9*d**2 + 2*d - 28. Let o be z(2). Which is the nearest to -2938? (a) -0.2 (b) o (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 24. Let k(c) be the second derivative of 0*c**f + 0*c**3 - 1\/15*c**6 + c + 1\/12*c**4 + 0 + 0*c**5. Find the third derivative of k(u) wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 + 4*r**2 - 2*r + 6. What is p(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 1260\/110 - ((-430)\/220 + -2).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ef8 + -67?\nAnswer: 2e91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**4\/4 - 5*q**3\/6 - 5*q**2\/2 - q. Suppose 3*d + 14 = -1. Let l(o) = 2*o**2 + 4*o + 4. Determine d*l(s) - 4*c(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169657524?\nAnswer: 2, 3, 1570903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7 + 2*b**2 - 3*b**2 + 3 - 6*b. Let z(u) = u**3 + 4*u**2 - 2*u + 4. Let x be z(-4). Let p = 8 - x. Calculate c(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23972?\nAnswer: 2, 13, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34400 (base 6) to base 12.\nAnswer: -2a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 639822 - 292603. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {u: 2, e: 12, f: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 1, -29, 13.\nAnswer: -29, -3, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -d + 35, -3*d + u - 3*u + 139 = 0. Let s = d + -32. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19609635?\nAnswer: 3, 5, 1307309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-227219992)\/14 + 440\/(-770). Round v to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476390441.\nAnswer: 659, 722899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i - 5. Suppose 14 = 9*x - 7*x. Let k(b) = -6*b + 16. What is x*a(s) + 2*k(s)?\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -477.455 - -472.455. Let x = -20.83 + -0.17. Suppose -5*v - 9 = -2*v. What is the second biggest value in v, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49824 and 65762144?\nAnswer: 5536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5306 = -16*t - 4666. Solve -2*h = t*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 231 (c) 0.3 (d) -9\/8 (e) -1\/3 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -19 + 224 - (-1 + 0)\/(-1). What is the highest common factor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6092.782 meters in kilometers?\nAnswer: 6.092782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + (-10)\/15)*6\/(-2). Let n = 369 + -366. Solve 0 = n*j + 26 - i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 337386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3657 divided by 1219.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2266538.063 - 20?\nAnswer: 2266518.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -382 (base 12) in base 14?\nAnswer: -29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2020626 and 324?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27*(-8)\/(-24))\/1. Let d be ((-60)\/(-9) - -1) + (-6)\/(-18). Solve -n*z + d = -7*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -845, -4, 13 in decreasing order.\nAnswer: 13, 1\/3, -4, -845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 558.5659 decades in centuries?\nAnswer: 55.85659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**9\/432 + l**6\/45 - 10*l**3\/3 + 5. Let i(h) be the third derivative of v(h). What is the third derivative of i(y) wrt y?\nAnswer: 420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5\/7 - 4*u**4 - 150*u**3\/7 - 388*u**2\/7 - 488*u\/7 - 240\/7 = 0. Calculate u.\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -232957 + -3?\nAnswer: -23295a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*a + 60. Let l(t) = t**2 - 7*t + 3. Let u be l(a). Let z be (2\/(-4))\/(u\/(-24)*1). Sort z, 7, -2.\nAnswer: z, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.6. Let s = 0.473 - 0.073. Let m = o + s. Sort m, 3, 0.1 in descending order.\nAnswer: 3, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3520 and 2208.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2328504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-1)\/6*-6)*(-1)\/(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3362360*n**5 - 2*n**4 + 2*n**3 - 269*n**2 - 90524*n wrt n?\nAnswer: 201741600*n**2 - 48*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 - 2*p**3 - p**2 - 14*p + 8*p + 6*p to the form z*p**4 + j*p + h*p**3 + i + x*p**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/40)\/((-1)\/(-12)*18*4\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1. Let h(v) = v + 6. Let w(c) = -5*h(c) + 30*u(c). Let x(d) = d**2. What is w(x(j))?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6276562 divided by 23\nAnswer: 272894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31885?\nAnswer: 5, 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 802 + -800. Solve -2*h - 6 = g*i, -3*i - 2*h - 3 = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**2 + h**2 + h**2)*(53*h - 10*h**2 - 53*h) - h**4 + h - h to the form y + r*h**4 + f*h**3 + i*h + z*h**2 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1793\/2 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9196 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-3 - 2*w + 3) - 2 + 2*w + 2 - 6*w - 5*w + 32*w - 19 + 25*w.\nAnswer: 52*w - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2 + 3*f + f**2 + 5*f + 5. Let c be w(-7). Suppose -28*i + y + 7 = -26*i, -12*i + 18 = 2*y. Put 0, i, c in descending order.\nAnswer: i, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -833.\nAnswer: -833, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52838 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*g + 90 = 186*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -337 + 337 - 3*k to t + s*k and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-33) + 992\/(-352). What is the closest to -0.04 in 1, -13\/4, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37588, -36750, -35914, -35080?\nAnswer: -34248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 t, and 1 f when three letters picked without replacement from {y: 2, t: 2, j: 1, d: 2, z: 1, f: 5}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3783891 divided by -3.\nAnswer: 1261297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 9471.\nAnswer: 18942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/2792 and 5\/50954?\nAnswer: 203816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2407 - 2411. Let n(u) = u**3 + u**2 - 3*u + 10. Determine n(b).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 12*h + 5)*(3*h + 0*h + 0*h) + (h - 5*h + 2*h)*(11*h + 88*h - 12*h).\nAnswer: -138*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, e: 3, g: 3, r: 4}. Give prob of sequence grp.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(128)\/(1*sqrt(4)) + sqrt(32) + (sqrt(32) + -5 + (sqrt(288))**2 - sqrt(32)).\nAnswer: 8*sqrt(2) + 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w + 0*w**3 + 1\/4*w**4 + 0 + 0*w**2. Let v(b) = -4*b. What is v(f(o))?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422892 is divided by 15662.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174797.\nAnswer: 7, 24971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 179470 (base 11) to base 8\nAnswer: 1033156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4868 + 4867.998031. What is t rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p + 76 = -4*k, -8 = 499*k - 496*k - p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2590 - 1790 + 1922)*(-1 + 1 - 2*g).\nAnswer: 4916*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 217*y**2 - 3825*y - 30. Give t(22).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 y when four letters picked without replacement from ttttvvyvvyyv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l - 2. Give y(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 36 = 5*w. Let c(l) = -l - 6. Give c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8849933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6)*1*-6. Suppose 5*c + 8 = -l*f + 17, -3*f - 15 = -3*c. Find the second derivative of c*n**3 - 3*n + 5*n - 4*n wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2\/5 (c) 1\/4 (d) -0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.9195 to two decimal places.\nAnswer: -3.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -4 (c) -2 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 446*j + 1351. Let q(y) = -1333*y - 4054. Let v(h) = 3*q(h) + 8*s(h). What is the derivative of v(n) wrt n?\nAnswer: -431","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Suppose -24*z + 21*z = -66. What is the greatest common divisor of z and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - k - 17 = 0, 19*k - 29 = 5*j + 34*k - 12*k - 2*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81087 * -0.01087.\nAnswer: -881.41569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.5 (c) 0.5 (d) 49 (e) -0.2 (f) -132\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -1, 0, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 534, 536, 538, 540, 542?\n\"Answer: 2*w + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - 5) + 7 - -4. Calculate the lowest common multiple of (-125)\/25 - (l + 2 - 11) and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9165 and 4320.\nAnswer: 2639520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m + 15 = 0. Let x(w) = 49*w - 1. Let p(b) = -97*b + 1. Let d(u) = m*p(u) + 5*x(u). Calculate the remainder when 130 is divided by d(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 - h + 2. Let r(v) = -2*v**3 - 3*v**2 - 5*v + 31. Calculate 5*o(y) - r(y).\nAnswer: 2*y**3 - 12*y**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5525*i**3*m - 2*i**2*m + 8*i**2 - 529135*i*m wrt i?\nAnswer: 33150*i*m - 4*m + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 106216.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*(-2)\/(-124)*49\/((-196)\/(-24))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -10*r**3 - 2*r**2 - 4*r. Let z(b) = 21*b**3 + 5*b**2 + 8*b. Let v(f) = -5*t(f) - 2*z(f). Find the second derivative of v(l) wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 3. Let l(t) = 3*t**2 - 295*t + 1290. Let r(u) = l(u) + 4*w(u). Find the first derivative of r(f) wrt f.\nAnswer: -2*f - 295","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2210264 (base 7) to base 4\nAnswer: 1002101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 544 = -2*w + 6*w, w - 108 = -s. Let u = s - 78. Suppose -45 = -43*b + u*b. Solve 3*x + 3 = b*h, 6*x = 3*x + 2*h - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d + 3. Let m = -13 + 16. Suppose 2 = -q - m. Let k = q + 9. Determine p(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 1. Suppose 4*k - k = 4*h - 11, 0 = 3*k + 15. Let b be r(h). Let z = 2 - b. Solve z*w - 5 = 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1967 + -1966.6. Let f be 8\/(-10) - 51\/(-120). What is the nearest to -0.1 in f, l, 5, 30\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19800*g + 170077 = 1278877 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 73 + 43 = -3*h, 0 = -5*h - 5*s + 50. Solve 0 = h*z + 6 + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - r + 4490 - 4485 = 0, -5*h = -4*r - 19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/10*14*(-25)\/70?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120450 divided by -24090.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 6929600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 45 = -10. Let a be 0 - r - (1 - 3). Suppose 7*g + 291 - 858 = 0. What is the highest common divisor of g and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 4*g + 24, 0 = -72281*z + 72282*z - g - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9849 - 5537 = -304*b - 8760 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70628070 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 43*n**2 + 3. Let w(v) = -3*v**2 + 1. What is w(k(l))?\nAnswer: -5547*l**4 - 774*l**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 9:08 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6058 and -431.\nAnswer: -2610998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let z(x) be the second derivative of -x**5\/20 + x**4\/3 + x**2 - 2*x. Calculate the remainder when b(-6) is divided by z(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(108))**2*5 - (-3 + sqrt(108)*-1))*-3.\nAnswer: -1629 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 5*v**2 + 3*v**2 - 15*v**2 + 2*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -10.32599?\nAnswer: -5.32599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5526960 by 2763480.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/12 + 66\/24. Let b be 0\/(l\/(1 + 0)). Suppose -a + 45 - 4 = b. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 189416*o**4\/7 + 81178*o**3 - 6*o**2\/7 = 0. What is o?\nAnswer: -3, 0, 1\/94708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 4:56 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g + 12 = 5*g. Let s(b) be the second derivative of 0*b**2 + 0*b**5 - 1\/195*b**6 + 0 - 23*b + 1\/78*b**g + 0*b**3. Let s(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, -47, 2111, 4 in increasing order.\nAnswer: -102, -47, 4, 2111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3, b: 2, a: 1, n: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (20\/14)\/((-7110)\/15484)\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1548542 (base 12) to base 5\nAnswer: -2101441212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29634 and 473437723?\nAnswer: 4939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) -8 (c) 93 (d) -8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54, -126, -198, -270?\n\"Answer: -72*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and 138.\nAnswer: 15.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 4*d + 3 + 26 + 14*d.\nAnswer: 14*d + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 27. Solve p - 3 = -x*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -1*sqrt(112))**2 + (sqrt(21)\/sqrt(48) - sqrt(7)).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 j, and 1 v when three letters picked without replacement from {k: 1, v: 5, z: 2, y: 1, x: 1, j: 3}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12\/7 - -31\/14. Let d = -1.6054 - -1.5054. What is the nearest to g in -1\/6, 0.39, d?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 77. Let a(h) be the second derivative of v - 2*h**2 - 2\/3*h**3 + h. Differentiate a(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3070859665 to the nearest integer?\nAnswer: 55415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 < -1230.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 869\/13 - 67. Suppose 3*r + 2*r = 0. Let x = 3.8 + -2.8. Which is the nearest to r? (a) w (b) x (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5095928283 rounded to the nearest 100000?\nAnswer: -5095900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*(m\/(m\/(m\/m**(2\/29))*m))\/m))\/m**(2\/13)*(m*(m**(-4\/7)\/m)\/m)\/(m*m*m**(-4)\/m*m) assuming m is positive.\nAnswer: m**(6185\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000027961 to 6 decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 886, 1963, 3474, 5431, 7846, 10731, 14098?\nAnswer: 17959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -4*z**3\/3 + 134*z**2 - 520*z - 173. Determine n, given that s(n) = 0.\nAnswer: 2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00080292 to 6 decimal places.\nAnswer: -0.000803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 14 - 5 - 15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(160\/(-56)))\/(1\/2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43335402155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 775899515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -403 + 416. Solve 5*h - t = 4*y - 0, -4*h - y + 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 7*n**2 + 3*n - 13. Let v(g) = -828*g - 1 - 1 + 829*g - 1 + 1. Let c(w) = -5*v(w) + y(w). What is c(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/770*5 + 748\/(-5445)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 57582629?\nAnswer: 2\/57582629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3209521*x**4 - 2*x**2 + 10819*x + 77 wrt x.\nAnswer: 77028504*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/3487 and -38\/38357?\nAnswer: 38357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23215 divided by -5.\nAnswer: 4643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 151, 8, -3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13802 is divided by 129?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2\/5 + 38*q\/5 - 832\/5 = 0?\nAnswer: -32, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.6 and 14?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3824339.9698 less than 12374?\nAnswer: -3811965.9698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000129525 rounded to six decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:37 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3591 (base 16) to base 12.\nAnswer: -7b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/1083?\nAnswer: 4\/1083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 29970676 and 16.\nAnswer: 29970692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2344*f + 1166*f + 56*f**3 + 1174*f)*(2 - f - 2 + (-2*f - 3 + 3)*(0 + 1 - 3) + 2*f + f - f).\nAnswer: 280*f**4 - 20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90417.96mm to nanometers.\nAnswer: 90417960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 13*l - 7. Let n be w(-8). Suppose -33*m + n = -32*m. Calculate the greatest common factor of m and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*g + 35 = -g, -a - g + 14 = 0. Calculate the remainder when a is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3763017 and 324?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1\/(-1)*408\/(-51).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9701*v + 9872*v - 358*v + 1603*v.\nAnswer: 20818*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 35 = 19, b + 4*u = 109. Calculate the remainder when 234 is divided by b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**4\/6 - p**3\/3 + 4*p**2 + 427*p. Calculate g(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31071492, -31071490, -31071488?\nAnswer: -31071486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 212?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 153 - -16?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 3*w**2 + w - 2. Let g be u(-2). Suppose g = -5*s + 2*s + 21. Solve 13 = 4*h - s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.88 * 0.04\nAnswer: -0.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (4 - 4) + 98\/7 and (-6 + -1)\/(2\/(-2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -87\/2. Let i = 4.8 + -4.762. Let p = 3.962 + i. Which is the closest to y? (a) -5 (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10923*k**2 + 10916*k**2 - 21837*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 97839*b**2. Let n(d) = -7*d. Give y(n(x)).\nAnswer: 4794111*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.034395 - -0.034. What is a rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175340102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**7\/42 - v**6\/15 + v**4\/6 - v**3\/6 + 30*v. Factor s(q).\nAnswer: q*(q - 1)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 2*w + w - 3*w - w + 5*w + (1 - w - 1)*(4 + 2 - 4) + 2 - 2*w - 2 - 5*w + 0*w + 3*w + 4*w - 6*w + 4*w)*(870 - 243 + 2814) as g*w + s and give g.\nAnswer: -3441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**4 + 1840*d**3 + 257040*d**2 = 0.\nAnswer: -108, 0, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 13143 in descending order.\nAnswer: 13143, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t + 25. Let m be p(-6). Solve -5*y + 26 - m = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 1:33 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -205149852 and -5.\nAnswer: -205149857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34489.\nAnswer: 7, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least -196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1315*y**2 - y + 719*y**2 - 456*y**2 - 1304*y**2 + 0*y.\nAnswer: -2356*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34524 and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2618 (b) 1\/5 (c) -15.3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2906*f**2. Let r(z) = -z**2. Give r(m(n)).\nAnswer: -8444836*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 9. Suppose 0*m + 2*m = -4*s + 4, s = n. Let j(a) be the third derivative of a**4\/24 - 2*a**3\/3 - 70*a**2 + 1. What is j(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172101313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 38*o + 42. Let s be n(18). Let h(a) = a - 9. Calculate h(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84587.\nAnswer: 251, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12217852 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 831 + -828. Put -2, a, 5, -1 in increasing order.\nAnswer: -2, -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - t. Suppose -8*l = -11*l + 6. Let n(v) = 383 + 10*v**l + 9*v - 383. Let c(b) = -2*n(b) - 18*o(b). Let a(p) = -5*p. Calculate a(c(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p + 2. What is the least common multiple of p and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112152643.\nAnswer: 7, 158878949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/6)*w)\/w**(-2\/7))**(-4\/35)*(w**(1\/2)\/(w**4\/w*w*w))**(-4\/9) assuming w is positive.\nAnswer: w**(1292\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -958?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6139359?\nAnswer: 3, 682151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c + 27181*c**2 + 5*c - 10*c.\nAnswer: 27181*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925580?\nAnswer: 2, 5, 46279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**3 - r**2 + 5*r + 2. Let p be w(-4). Let n = p - 905\/6. Calculate the common denominator of n and 2\/(-4)*(-59)\/(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m - 6. Suppose -13 - 11 = -4*k. Let a(l) = 4*l + 5. Let n(z) = k*d(z) + 7*a(z). Suppose c - 3 = s - 0*s, -2*s = c + 3. What is n(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 178.\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (-13 + -5 + -4 - -13)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/5483832 and 161\/10031400?\nAnswer: 411287400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -2, -311563.\nAnswer: -311563, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*f*u*z**3 - f*z**4 - 6*f + 11*u**3*z**3 + 197*u**3*z**2 + 3*u**2*z wrt z?\nAnswer: -450*f*u - 24*f*z + 66*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26474627 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 10 - 11 = 0. Let l(b) = 4*b. Let x = -242 + 239. Let q(j) = 9*j. Calculate p*l(m) + x*q(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135*f**5 - 2*f - f - 287*f**2 - f + 220*f**2 wrt f.\nAnswer: 8100*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -0.01, 3\/5, -5\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 74?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476265*m - 545522*m - 790502*m.\nAnswer: -859759*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/4 (b) -1 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.57 - 0.07. Let h = s - 2. Let y = -69\/245 + 4\/49. Which is the biggest value? (a) -0.3 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 880 - 64. What is the greatest common divisor of 68 and c?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42692630.37 to the nearest one thousand.\nAnswer: 42693000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 43165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4.3. Let y = -0.401 - -0.201. What is the closest to y in 0.5, 2\/9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/(-48))\/((-2)\/9). Sort 4, 2, -2, r.\nAnswer: r, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15816*z + 45371.\nAnswer: -15816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 4 - -6)*(-973)\/(-6811)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-6)\/12*(-330)\/275?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36698 is divided by 179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.059 times 5\nAnswer: -0.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v - 6*v + 7*v**2 + 2*v - 7.\nAnswer: 7*v**2 + 26*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4119310781.\nAnswer: 41131, 100151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*g = 2*r - 1, -12 = -4*r - 4*g. Let w be 20\/32 - r\/4. Let d = 0.5 - 1. Put w, d, 2\/9 in ascending order.\nAnswer: d, w, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 62 = -5*c, -1201*d - 3*c = -1199*d - 28. What is the closest to d in 3, 13, -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*o - 6852, -l + 1362 = -o - o. Let h = l + -684. List the prime factors of h.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)\/c*c*c\/c**5)**3 assuming c is positive.\nAnswer: c**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1548 - -9074?\nAnswer: a5bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 2\/51 (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4 = -7*n, -2*i - 5*n = -3. Let q(h) be the first derivative of 3*h**2\/2 - 4*h + 18. Give q(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13648169957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -10*w**2 - 253*w + 469. Give a(-27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*p + 4*u, -u = 54*p - 48*p - 24. Solve -b + 2 = 0, 5*b - 8 = p*w + 3*b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**4 - 55*u**3 - 175*u**2 - 125*u = 0. Calculate u.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -21 + 45 - 25 - 2*y. Give v(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2. Let b(w) be the second derivative of 0*w**2 - 1\/12*w**4 + w + 0*w**3 + 0. Determine b(g(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 121013 (base 4) in base 9?\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1936980094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 39. Suppose 0 = 5*t + 3*p + 32, 32*t = 36*t + 6*p + 4. Determine i(t).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -499 - -503. Suppose 0 = -4*g - 8, 4*n - 3*n - 4*g = 20. Suppose -3*i + n = s*q, 2*q + 2*i = -q + 9. Solve 0 = 4*j + q*c + 1, -c - 6 = -5*j + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123467548 to the power of 1\/2, to the nearest integer?\nAnswer: 11112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 + 124. Let y = p + -1. Let f = 6.3 - 6. Sort -2, y, f in ascending order.\nAnswer: -2, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4\/2 - 18819*o**3 - 58931550*o**2 + 591651276*o + 1418878224 = 0.\nAnswer: -6278, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 5 (c) -0.4 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/35 - 82\/105. Let q = 48 - 48. Suppose -k = -q*k + 1. Is z less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**0\/j)\/j)\/j*j**(5\/2))\/(j**(-2\/3)\/j**(1\/7))*(((j\/j**(4\/9))\/j*j)\/(j**(1\/2)*j))**41 assuming j is positive.\nAnswer: j**(-2357\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -1204, 8, -8, 24, 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**4 - q**4 + q**4)*(-2 - 5 + 5) - 2*q - 112*q**4 + 129*q**3 - 223 + 111*q**4 + 221 to f*q**4 + m*q + d + u*q**3 + r*q**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(-95)*((-630)\/(-252))\/((-2)\/84)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/((d*d**(-1\/4)*d)\/d)*d)\/d)\/d)**(-16\/9)\/(d\/(d*(d\/d**(-7))\/d)*(d*(d\/(d*((d**(1\/2)*d*d)\/d)\/d*d))\/d)\/d) assuming d is positive.\nAnswer: d**(163\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i - 230. Let c = i + -25. What is the highest common factor of c and 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -130, -154, -228, -376, -622, -990?\n\"Answer: -4*l**3 - l**2 + 7*l - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2341032 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 0 + 1615\/(-17) + 78?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 3*i**2 + i + 3. Let d be w(-3). Let p(v) = v**2 + 4*v + 1. Let s be p(-3). Let g be (d + -1 + s)\/(-3). Is g > 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/12 and 29\/583590.\nAnswer: 1167180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 195 + 124 - 56 + 198)*((3*z - 3*z - 5*z)*(5 - 4 + 2) - 3*z + 2*z + 0*z).\nAnswer: -7792*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47991?\nAnswer: 3, 17, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 7:07 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0909 + 0.0509. Let r = -2.7 - 1.3. What is the closest to 2 in 1, r, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - 2*s**3 - s**4 + 0*s**2 - 3 + 6 - 2 as v*s**3 + d + y*s**2 + g*s + i*s**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9 + 125\/(-300)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 7*q + 10. Let b be n(8). Solve -b = -2*u - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 1. Let k be p(-2). Suppose 5*q - k*r - r = 34, 4*r - 16 = 0. Let t = 101 + q. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 623359 - 623359 + 860*x to the form c + d*x and give d.\nAnswer: 860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -2\/11, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -925, -725, -515, -289, -41?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 92, 230, 452, 752, 1124?\n\"Answer: -t**3 + 48*t**2 + t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 3, 50, 9, -42, 0 in ascending order.\nAnswer: -42, 0, 3, 9, 50, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2. Let j be o(-2). Suppose -4 = -j*l + 4. Let d = 6 + l. What is the least common multiple of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28936 divided by 5.\nAnswer: 28936\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 80\/(-8) + 28\/(28\/7) + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 11*p + 2. Let u be f(9). Find the third derivative of -48 + u + 28 - 3*g**2 + 2*g**3 wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 53*f**2 - 138*f - 500. Calculate b(50).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*m = -4*z + 63*m + 115988, 3*z = -4*m + 86935. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492 = -u + 3*o, 32*u - 4*o = 33*u - 464. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(0 + -3 + -1 + sqrt(147) + (sqrt(2541)*2 - sqrt(2541))\/sqrt(7)*-3)**2.\nAnswer: 1248*sqrt(3) + 12262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.028, -0.5, 2, 1\/3, -41, 0.3.\nAnswer: -41, -0.5, -0.028, 0.3, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3060)\/357*7\/3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 134389428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 6*s**2 + 30*s + 13. Calculate the remainder when 46 is divided by o(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99411?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50824, 50821, 50816, 50809?\nAnswer: 50800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -12. Let d = -1 - k. Suppose -d*f - 52 + 132 = 0. Solve -f = -w - 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 17*p + 19. Determine l(14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/1498 and 79\/20.\nAnswer: 14980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*u + 4 = -4*r, -4*r - 2*u = -2. Suppose -6*o = -r*o - 8. Solve -o*g = 3*g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-600)\/((-425)\/(-17))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 + 46*h - 47. Give a(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 - 1. Suppose -2*k + 14 = 5*q, -q + 13 = 20*k - 23*k. Let d(b) = -5*b**2 - 1. What is q*s(l) - 3*d(l)?\nAnswer: -5*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 51 = -2*z, -b = -z - 17 + 1. Calculate the greatest common divisor of 779 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 2*b**2 - 1. Let v(k) = -248*k**3 + 12*k**2 + 7. Calculate -v(i) - 6*z(i).\nAnswer: 254*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7570 - -18?\nAnswer: 7588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/2)\/p)\/p)\/p**(-1\/4)*p**(-4)*p**(-2))**47 assuming p is positive.\nAnswer: p**(-1363\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (11 + (-316)\/28)*-11802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 14*t**2 + 8. Let c be s(14). Suppose -c*k = -13*k. Suppose 3*o = -k*o + 69. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*r - 67*r - 130696 = 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.08 - 3. Let i = -0.16 - s. Round i to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-492)\/10)\/((-10)\/125)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from qylalayyayqyylwaayy?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.032, 0.01, 0.03, -1.195 in descending order.\nAnswer: 0.03, 0.01, -0.032, -1.195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 + 81. Solve 4 = -q, -5*q - 14 = -3*k - g*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + t = -2119, 0 = -3*n - t + 1156 + 435. Does 531 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h + 28. Let s be n(-5). What is the common denominator of s - -3 - 13\/8*1 and 65\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -21*u + 17*u. Calculate the smallest common multiple of 10 and u.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27, 0.5, -0.19, -4, -4.89, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 32*h + 5. Give y(-2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 63985913675 and -0.21405.\nAnswer: 63985913674.78595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.01 (b) 430676 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -0.03875.\nAnswer: -0.002325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + q**2 + q**2 + (1091*q**2 - 361*q**2 - 377*q**2)*(4 - 12 - 1).\nAnswer: -3176*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-108)*88\/(-154)*-12.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -456, -1729, -3846, -6807, -10612, -15261, -20754?\nAnswer: -27091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**3 + 8*k**2 + 3*k - 3. Let b = 6 + -4. Suppose -b*a + 9 = a. Let q(o) = 2*o**2 - 4*o + a*o**3 - 7*o**2 + 2*o + 2. Determine -8*q(v) - 5*y(v).\nAnswer: v**3 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425134666.\nAnswer: 2, 11, 89, 179, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16983392969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(252) + 1)**2 + 5.\nAnswer: -24*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p + 17. Let g(d) = -2*d - 3. What is 34*g(z) + 6*w(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-25) + 12\/5. Suppose o + r*o = 63. What is the greatest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.063?\nAnswer: 0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o + 7. Suppose 0 = 2*x + x - 108. Let n = x + -22. Is q(n) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24359, 48717, 73075?\nAnswer: 97433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 131*y - 134*y = -16, -30 = 3*a + 5*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c696 (base 13) to base 14.\nAnswer: 22ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 633 + -623. Let c(u) = -u**2 + 3. Let v be c(0). Suppose v*h - 30 = -0. Solve 0 = -h*r + 5*r + b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 8) in base 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1403 and 301553?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o**2 + 4*o. Let s(g) = 21*g**2 + 11*g + 20. Let n(k) = 10*k**2 + 5*k + 8. Let f(j) = -5*n(j) + 2*s(j). Calculate -4*f(d) - 3*v(d).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 660 - 458. Calculate the remainder when j is divided by 104.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 1, t: 16}. Give prob of sequence tt.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**14\/(g\/(g**2*g)))\/(((g*(g*g**(6\/13))\/g*g*g)\/g*g)\/g*g*g\/g**8) assuming g is positive.\nAnswer: g**(254\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amjasaqassmssqwjams. Give prob of picking 1 a and 1 s.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17 from 14711.\nAnswer: 14728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 127 (b) 0.2 (c) 0.5 (d) -0.6888 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-21) - (-116)\/14. Suppose 5*z - 58 = 152. Let o = -34 + z. What is the highest common factor of i and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/87 and 61\/15?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, m: 4, y: 2}. What is prob of sequence yyw?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 14*p. Let l(g) = -4*g + 55 + 15*g - 20 - 10*g. Determine l(p).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(32)\/(2*sqrt(288)))\/(sqrt(288) - 2*((sqrt(288) - (sqrt(288) - (sqrt(288) - sqrt(288)*-1))) + sqrt(288))) + 3).\nAnswer: -sqrt(2)\/240 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 31*h**2 + 179*h - 264. What is the units digit of z(-42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13 - 1) + -12)*(-3)\/(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10209 divided by 1\nAnswer: -10209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4437, -4467, -4497, -4527, -4557?\n\"Answer: -30*x - 4407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.015 - 0.015. Let n = r - 28. What is the biggest value in 1\/2, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*i + 119*i - 17*i = -3332 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 138 - 70. Suppose 9 = -3*c + 12. Let g be (c - 3)*238\/(-28). Calculate the highest common factor of a and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 2. Let j = 7 - 4. Suppose -u - j*d + 5 = -2*u, 3*u - 5 = -d. Which is the second smallest value? (a) 0.3 (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b9b34 (base 14) to base 5.\nAnswer: -223043143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/1290 and 69\/613480.\nAnswer: 79138920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 6*n + 2*p - 4, -5*n - 8 = -4*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36455670.\nAnswer: 2, 3, 5, 45007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 690 and 9772861.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r - 34*r = -148020. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*y + 1115 + 645 = 440 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*r + 35, 2*i + 40*r + 6 = 43*r. Sort -73, -2, i in descending order.\nAnswer: i, -2, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -605364 - 5?\nAnswer: -605402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 207 - 125. Let k = -234 + 157. Let r = k + s. What is the remainder when 27 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23520 + 36105. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 4*d**2 - 3*d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332 (base 6) in base 11?\nAnswer: -293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -63452970 plus 1?\nAnswer: -63452969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -40*f - 3798. Give d(-95).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -18, -1, 4 in ascending order.\nAnswer: -18, -5, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/20 - (-13350)\/(-40). Let b = 338 + m. What is the greatest common factor of b and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2352)\/70)\/24 - 9\/(-6). What is the fourth biggest value in s, 0.4, 2, -1.1, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -7 + 13 - 12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26 - (-13)\/((-13)\/8). Is -3\/8 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 25*x. Let j be w(2). Suppose 209 + j = m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 26. Let c be o(17). Let g be (1 - 4)\/((-3)\/18*c). Solve 3*q - d + 1 = d, -2*d + 4 = -g*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, n: 1, z: 4, w: 4, p: 2, e: 2}. What is prob of picking 1 n and 3 z?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 102\/18 + -6)\/((-8)\/(-24)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 7*y**2 + y - 3. Let n be f(7). Let p(a) = -a**3 + 6*a**2 - 7*a + 3. Let g be p(n). Differentiate 2 + 2 - 14 - g*c**2 with respect to c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-75))\/(((2\/(-28))\/((-200)\/(-16)))\/1)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*t + 381*t + 769*t.\nAnswer: 997*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 570?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/148 and 79\/16.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 15*h**3 - h**2 + 9*h - 5. Let c be x(1). Let q(t) = -3*t**2 + 41*t + 237. Determine q(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 11. Let u be c(-5). Let g(h) = h + 3. Let p(f) = 4*f + 13. Give u*p(a) - 26*g(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 12309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((66\/(-24))\/11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 - 92. Solve -5*k - 20 = -4*h, -o = -4*h + 2*k - 3*k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -573, -1116, -1655, -2190, -2721?\n\"Answer: 2*v**2 - 549*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y - 4. Let i(v) = 1. Suppose 3*w - 10 = -115. Let n = 32 + w. Calculate n*i(r) - p(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/2)\/3)\/(279\/(-124))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 14*v - 7. Let m(c) = 2*c**2 + 7*c - 4. Let t(q) = 3*i(q) - 5*m(q). Let a be t(7). Is 1*a*(1 + -43) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/(2\/16). Let b = k - -2. What are the prime factors of ((-6)\/(-4))\/(b\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 1217 = -94*s + c, -4*s = -3*c + 430 - 479 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-35))\/2*21\/18.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110011021 - 11?\nAnswer: 110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -9)*1\/(-3)*(-5 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/5 + 169*u**2. Let o(z) = 12*z**2. Give j(o(c)).\nAnswer: -1728*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**2 - 52*x + 48. Let h(i) = -3*i**2 - 27*i + 24. Let l(p) = -7*h(p) + 4*m(p). Give l(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 3*w**2. Let i be f(-2). Let p = -21.45 - -21. Let d = p - -0.15. Put d, i, -4 in decreasing order.\nAnswer: i, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-742)\/28 - -25)*(-52)\/(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 212*a*i**3 + 2*a*i**2 - 3*a*i + 21*a - 12*i**3 - 102*i + 2 wrt i?\nAnswer: 1272*a*i + 4*a - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*h + 9*h - 6*h**4 + 5*h**2 - 5*h**2 + 2*h**4 - 3*h**3 - h**4 + 3*h**3 + (2 - 4 + 4)*(-h**4 - 2*h**4 + h**4) - 293*h**4 + 111*h**4 - 123*h**4.\nAnswer: -314*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -36\/7*q + 3\/7*q**3 + 12\/7*q**2 + 0 = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1526520?\nAnswer: 1526514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 271*v. Let f(b) = b - 522. Calculate f(w(k)).\nAnswer: 271*k - 522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39190, 39389, 39602, 39835, 40094, 40385?\nAnswer: 40714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.826933km to nanometers.\nAnswer: 3826933000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58281 by -362.\nAnswer: -58281\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 0*m**2 - 3*m**2 - 4 + 6 in the form a*m**2 + i + h*m and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (75 - 3)\/((-3)\/(-2)). Let p be (-1)\/(129\/(-33)*-1 + -4). Let t = y + p. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 8:24 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 10*p - 32*p + 7*p + 21 + 9*p. Let m(s) = s - 4. Let j(i) = -21*m(i) - 4*y(i). Let o(a) = 2*a - 5*a + 5*a + 4*a. Give j(o(v)).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*j + 18105 = -1314*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/(-30))\/(2\/(-30)). Let i = 14 - o. Suppose 0 = -i*a + 11 - 3. Solve -a*n = -6*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/6 - 193*y**3\/6 - 5350*y**2.\nAnswer: y**2*(y - 300)*(y + 107)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4*s + 42908 = 42940, 5*y = -4*s - 23 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 192331*a**2 + 180*a - 195862526 with respect to a.\nAnswer: 384662*a + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37259291 a multiple of 2007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100011100 - 101?\nAnswer: -111100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 236958*b**4 + 136*b**2 - 29 wrt b.\nAnswer: 5686992*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 142*u + 888. Let x be f(6). Let i(c) be the third derivative of 0*c + x - 7\/24*c**4 - 5\/6*c**3 + 26*c**2 - 1\/60*c**5. What is i(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/5*(-5)\/2. Suppose -l*n + 28 = 4*a, 0 = a + 2*a + 3*n - 21. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4946 - 50. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Suppose -9*o - 77 = -2*o. Let y = 16 + o. Let a(i) = -y*i + 6*i + 12*i + 0*i. Determine q(a(f)).\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1560\/20)\/13)\/((-3)\/4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**40)**(-10\/9) assuming f is positive.\nAnswer: f**(-400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 94 = -3*i, -12*z - 291*i + 289*i + 68 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 + 11\/((-110)\/(-10980)). Let a = r - 1065. Let d = 581 + -359. Calculate the remainder when d is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9184 and 160351328.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000432097 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - n**5 - n + (2*n**2 - 2*n**2 - n**2)*(-6*n**3 + 3*n**3 + n**3) + 0*n + 0*n + n**5 + 2*n**4 + 31 - 31 - 4828*n**5 - 10730*n**5 + 1219*n**5.\nAnswer: -14337*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from cccjsjcjcsck.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1074987 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 261. Let u = 0.5114 - 205.2114. Let s = d + u. What is s rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/15)*z**17)\/(z\/(z**(-10)*z)*z*z*(z\/(z\/(z**(-2\/3)\/z)))\/z*z) assuming z is positive.\nAnswer: z**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 2:53 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 2*f + 1. Let p be h(-2). Put -1, p, 2 in decreasing order.\nAnswer: 2, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + 4*h**2 - 4*h**2)*(-h**3 + 2*h**3 + h**3) - 8739*h**5 - 20*h**2 - 6*h**2 + 8742*h**5.\nAnswer: 9*h**5 - 26*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 13. Let k(o) = -o - 13. Let s(i) = -2*b(i) + 3*k(i). Calculate s(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r - 67 = -5*m, 89*m - 86*m - 2*r = 31 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 10. Let u(l) = l**2 - l + 4. Does 11 divide u(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 78. Let s = i - 38. Suppose -5*p + 4*o = 2*o - 80, s*o - 16 = -p. What is the remainder when p is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 229, 517, 859, 1255, 1705?\nAnswer: 2209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 3\/(-3))\/(-2). Let b(t) = 79*t**2 - t. Let i be b(f). Let q = -21 + 41. What is the greatest common factor of q and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54985535, 109971068, 164956601, 219942134, 274927667, 329913200?\nAnswer: 384898733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 118, 317, 538, 793, 1094?\n\"Answer: 2*x**3 - x**2 + 188*x - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rldm when four letters picked without replacement from riidrmiil?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*h**2 - 519*h**2 + 288*h**2 - h.\nAnswer: 33*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*s + 79 = -2*h, 4 = 4*s. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7 and 9794.3901492.\nAnswer: 9795.0901492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -13*v - 52, 4*q - 92*v - 40 = -38*v - 44*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -202, -129, -56, 17, 90, 163?\n\"Answer: 73*t - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 21. Suppose -t = 3*i + 20. What is the common denominator of (-2)\/i*(-339)\/9 and 1\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*x, -5*h + 15*x - 20*x = -870. Suppose h*i = 168*i + 90. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - 4)\/(2\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14345909?\nAnswer: 17, 59, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (1 + 0)*(-8)\/8. Let n(c) = -54*c**3 - 33 - 23*c**2 + 2*c + 0*c + 55*c**q. Calculate the remainder when 76 is divided by n(23).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*u - 102*u - 62*u.\nAnswer: -358*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 0*j**2 + 0*j**2 + 6767*j**3 + 10*j + 0*j**2 - j**2 + 45433*j**3. Let d = -6 + 16. Let o be v(d). Round o to the nearest one million.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48859, -48853, -48843, -48829, -48811?\nAnswer: -48789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 338460 and 555.\nAnswer: 12523020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**8\/210 + o**6\/72 - 2*o**3 - 3*o. Let n(t) be the second derivative of m(t). Find the third derivative of n(k) wrt k.\nAnswer: -192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqfjjjjezqejejzfqqej. What is prob of sequence zz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 39, 14, -3, 1 in descending order.\nAnswer: 39, 14, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-10 - -6) - -9. What is the third derivative of 51*i**2 + 74*i**2 + 57*i**2 + 4*i**q - 25*i**3 - 213*i**2 wrt i?\nAnswer: 96*i - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 + -4041146916.\nAnswer: -4041146959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = 3*h. Suppose h*t = -6 + 15. Solve t*p = y - 0 - 2, 3*p = -5*y + 28 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 51*w**3 + 8*w - 37*w**3 - 19*w + 11*w**2. Let c(l) = 3*l**3 + 2*l**2 - 2*l. Calculate 11*c(n) - 2*z(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**3 + 5*a + 5. Let d be (60\/48)\/((-25)\/(-100)). Let r(q) = 3*q**3 + 5*q + 6. What is d*r(z) - 6*c(z)?\nAnswer: -3*z**3 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2213*t - 2222*t - 108 = 0 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by 58.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-2 - (-8)\/4))*-54. Let k be ((-16926)\/d)\/7 - 6\/(-27). What is the greatest common factor of k and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -55, -81, -127, -199, -303?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102.9 + -101.056. What is l rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -36. What is the smallest value in q, 22, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.8 from -2911503.\nAnswer: -2911508.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 0*z - 2*z)*(-z + 0*z + 0*z)*(4*z**2 - z**2 - z**2) to f + w*z**3 + c*z**2 + n*z**4 + b*z and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(((-2)\/(-7))\/(9\/7)))\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2155)\/(-13792)*8\/10*72\/(-177)\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/227 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 396123?\nAnswer: 396123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8020 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(7) - sqrt(112)*-1) + 4.\nAnswer: sqrt(17)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 260779815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.015*-357.\nAnswer: 5.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (280\/(-3520)*160)\/((-6)\/11)*-6.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172 or -169?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*x - 10, 0 = -5*f + 24 - 4. Let a(b) = b**3 - 14*b**2 + 13*b + 14. Let w be a(13). Let g = -12 + w. What is the greatest common factor of x and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*b - 6330*b - 4053*b - 1 + 4.\nAnswer: -10750*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1549830, 6199295, 13948404, 24797157, 38745554, 55793595?\n\"Answer: 1549822*a**2 - a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Suppose 2*s - 6 = u*s. Suppose 36*p = -239 - 13. Which is greater: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340.596mg to grams.\nAnswer: 0.340596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10891012\/134676339 + -2\/363009. Calculate the common denominator of 37\/6 and i.\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78091, 77893, 77699, 77509, 77323?\nAnswer: 77141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) 0 (c) 1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2134*a**3 - 6462*a**3 + a + 2134*a**3 + 2170*a**3 - a.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65735, 131459, 197131, 262751?\nAnswer: 328319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 22 = l. Let q(m) = 19*m - 101. Calculate the remainder when q(7) is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2124262742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psss when four letters picked without replacement from {h: 1, s: 6, p: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17891498 - -38491488. Suppose -2*i - 247200060 = -6*i. Suppose i = -3*f - 3*r, r + z = -f + 3*r. Round f to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36630 + 36628. Let s be -7 - (0 + 0 + 1). Put s, z, -3, 0 in decreasing order.\nAnswer: 0, z, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 278577 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 247818 - 170895. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*w = 60. List the prime factors of w*-1*4\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2190 + 2190.5. Put 0, l, 92.7, -0.5, -0.1 in descending order.\nAnswer: 92.7, l, 0, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 827*b**2 + 1868*b**2 - 2826*b**2.\nAnswer: -131*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 76 = -25*f. Let y(g) = 17*g**2 + 2*g**f + 0 + 17 - 17. Let o(u) = -5*u. Calculate y(o(c)).\nAnswer: 475*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*(30\/(-13965))\/1.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**24*v**(-10)*v)\/(v**13\/v*v*v**26))**(-26) assuming v is positive.\nAnswer: v**624","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/73)*j**(8\/3))\/(j*(j\/j**(-9\/10)*j)\/j*j*j*j**(-1)) assuming j is positive.\nAnswer: j**(-2761\/2190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4776 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.59 + 0.09. What is the nearest to -2 in 0.4, 4\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 l when four letters picked without replacement from jlklz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 5899104?\nAnswer: 5899104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 27. Let a be (-1 - -2) + 0 - -1. Let v(u) = -a*u + u + 2*u - 14. Let z(p) = -3*i(p) - 5*v(p). Determine z(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6590 (base 15) in base 7?\nAnswer: -116466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-28))\/4*21\/(-99)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 142 - 187. List the prime factors of (-56)\/12*o\/6.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**4\/4 - 2*t**3 + 4*t**2 + 9*t + 3. Let b be f(-7). Find a such that 15 - 3 + 2*a + 6*a**b - 24*a = 0.\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -3)\/((3 - 1)\/4). Let k(j) = -2 - 2 + 0 - 6 - 10*j. What are the prime factors of k(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2.2. Let o be ((-1)\/((-16)\/(-12)))\/3. What is the third smallest value in s, 7\/2, o?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5395, 8931, 12453, 15955, 19431, 22875, 26281, 29643?\nAnswer: 32955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*m - 45293536 - 180416026 = 101316438. Round m to the nearest one hundred thousand.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/11 + 332*u**2\/11 + 978*u\/11.\nAnswer: 2*u*(u + 3)*(u + 163)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 + 10*w**2 + 10*w**2 - 3*w**2 - 2 in the form t + q*w**2 + p*w and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/7196 and 1\/28.\nAnswer: 7196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51611644\/11 or -4691967?\nAnswer: -4691967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*y**3 + 19*y - 19*y)*(-5 + 3 + 0 + (3 + 0 + 0)*(3 - 7 + 0)) in the form h + p*y**3 + l*y + u*y**2 and give p.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79.78 + -79.68. What is the nearest to 0.2 in 2, g, 2\/31, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*u - 5*u - 18 = 0, 3*v = -2*u + 3. Let h(n) = -n + 1. Let b be h(v). Let j(m) = -6*m. Let z be j(b). Solve -2*i + 0*i = -2*y - 12, 4*i = z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-17)\/(-51)*26)*3\/(-10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/165 and -11\/105?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/2 - 3710286*p.\nAnswer: 3*p*(p - 2473524)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 375*(-1360)\/(0 - 20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 > -1004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269070.\nAnswer: 2, 5, 11, 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - a + 5, 4*z = -2*a - 3 + 1. Suppose -2 - 2 = -z*m, 2*l = -3*m + 10. What is the units digit of (2 - 147\/(-6))*l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 12*c**2 - 16*c - 7. Let v(k) be the third derivative of k**5\/60 + 5*k**4\/24 + 4*k**3\/3 - k**2. Let a be v(-6). Is l(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -18087\/67546 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 + 2.38. Let i = 0.2 - g. Let h = i - -1.5. Which is the third biggest value? (a) -1 (b) h (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 1. Let z(i) = -4*i**4 + 4*i**3 - 10*i**2 + 2*i - 1. Let y(m) = -4*v(m) + z(m). What is the second derivative of y(g) wrt g?\nAnswer: -48*g**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*b - 24 = 0, -28*b + 31 = 3*o - 23*b. Suppose -2*c - 4*x = -2, c + c + x - 8 = 0. Sort 0, -3, o, c.\nAnswer: -3, 0, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (sqrt(20)\/sqrt(10) - sqrt(2)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -105157413.\nAnswer: -841259304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41553082?\nAnswer: 2, 31, 670211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -4 - (6 - 7).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 t when three letters picked without replacement from zmtxqqtu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*l + 9055 = -10209. What is the greatest common divisor of 1232 and l?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 127.9 and 49.\nAnswer: 176.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + 4. Suppose i*b = -b. Let f be (-3 + b)\/((-9)\/12). Solve 0 = 3*n + 6, 3*r - f*n + n = 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 2 + -1)\/2. Suppose s*h + 84 = 3*h. Suppose 6*w = 5*w + h. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*h**3*u**3 + 11*h**3 - 6*h**2*u - 4*u**3 + 3*u**2 wrt h.\nAnswer: 36*u**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-340)\/(-8))\/(-5)*416\/(-624).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y. Let m(t) = -t + 89 - 89. Calculate z(m(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*v + l + 44, -14 = -v + 2*l. What is the remainder when 41 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 = -59*r + 10*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:40 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*n + 2844. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 9 = 2*b + 1, -b - 3*m = 8. Let a be (2 + -2 - 1)*-1. What is the units digit of 1 + a\/(b\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1323 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -313.517494 and 0.07.\nAnswer: -313.447494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 372, 371, 370, 369?\n\"Answer: -n + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -317 + 317.0000445. Round f to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648 = 5*q + 4*z, -2*z - 2*z - 672 = -5*q. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23100 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2. Suppose 0*l - 3*s = -5*l + 6, l - 2*s = 4. Let t(o) be the second derivative of o - 9\/2*o**3 + l + 0*o**2. Determine t(z(g)).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403927.4 centimeters to kilometers.\nAnswer: 4.039274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.348 to 2 dps.\nAnswer: -3.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**2 - 2*v - 2. Let w(n) = -8*n**2 - 4*n - 5. Let c(h) = 5*i(h) - 2*w(h). Let r(l) = 2*l. Calculate r(c(o)).\nAnswer: -8*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326 + 326 + 1742*i + 4899*i.\nAnswer: 6641*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/685 - -1384\/4795. Let i = -143\/765 + -2\/153. Which is the third smallest value? (a) -4 (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 + 2152956*c\/7 + 579402442242\/7.\nAnswer: 2*(c + 538239)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172 + -65. Suppose -2*m + 45 + w = 0. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**4 - 28*f**3 + 13720*f**2 + 162709147*f wrt f.\nAnswer: 48*f**2 - 168*f + 27440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 9*r**2 - 2*r - 1. Let b be a(-9). Let m(y) = 764706*y - 2. Let o be m(b). What is o rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23 - 17 - (-51683994 + (2 + -2)\/5). What is v rounded to the nearest 1000000?\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3902*j**4 - 18451 + 2160*j + 18451 wrt j?\nAnswer: -46824*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 15. Let g(z) = 4*z - 61. Let c(v) = -2*g(v) - 9*h(v). What is the remainder when 4 is divided by c(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2 = 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-954)\/(-2385))\/(((-66)\/(-45))\/((-16)\/(-24))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18323 is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -837, -2798, -6613, -12900?\nAnswer: -22277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**2 - 8003*c + 8177*c + 2*c**2 - c**2 - c**3 to the form s + k*c**3 + g*c**2 + j*c and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -2.4\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - -21 - ((-4 - 2) + -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 11, 28, 63, 122, 211, 336, 503?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**4*p)\/p)**(-1))**(1\/27)\/(p*p**0*p**(-14\/9))**(-29) assuming p is positive.\nAnswer: p**(-439\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 1 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -12 - (-19 + 11 + 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.54 - 0.46. Which is greater: t or -1\/57?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**9\/30240 + h**7\/5040 - h**5\/30 + 3*h**2. Let b(i) be the third derivative of f(i). Calculate b(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68133119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49 and -0.22321.\nAnswer: 10.93729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l. Let p = -22 - -26. Suppose 0 = 3*a + 4*z - 17, -5*a - p*z = -20 - 3. What is n(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -314\/3 + 106. Which is the closest to -2? (a) -5 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*w + 12 = 340*w - 4*r, -r - 9 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**8\/((i\/(i**(-8)\/i))\/i))**22)**(-20) assuming i is positive.\nAnswer: i**440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from joojoo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.13 - -0.35. Let z = o - 0.15. Let d = z + 0.85. Round d to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17162 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/13? (a) 2 (b) -11 (c) 2\/7 (d) -0.3 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2 + (-3 + 6 - 4)*(1 - 3 + 3) + 1 + 0 - 2)*(2*h - 2*h + h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -3, 1, -1, -2 in descending order.\nAnswer: 1, -1, -2, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689 (base 10) to base 11.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 0 - (-11 + 7) - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**2\/2 + 1. Let l(w) = -6*w + 5. Let i(j) = l(j) - 5*p(j). Does 10 divide i(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from euuwuueukweeukuuuuu.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 - 14*m**2 - 5*m**2 + 19*m**2 + 0*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 0*v**3 + 0 + 1\/2*v**2 - 7\/30*v**6 + v + 0*v**5 + 0*v**4. Differentiate q(p) with respect to p.\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 355 + -183. List the prime factors of g.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 965 = -5*k, -250 = k + w - 57. What is k rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 1. Let h(t) = 0*t + 2*t - 2*t - 3 + 3*t. Let z(a) = 4*h(a) + 11*k(a). Let f = -52 - -47. Let l(d) = 2*d - 3. Give f*z(w) + 2*l(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.0094978?\nAnswer: 0.00189956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2222122118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 963 + -555. Let w = -407.753 + u. Let j = w + -0.2469754. What is j rounded to six dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**2 + 18407*s - 128802. Determine a(7).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 7*j**2 - 9*j + 2. Let o be v(8). Suppose -15*h - 320 = -7*h. Let b be (102\/85)\/(o\/h). Are b and 9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 0.5 (c) -9 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4167, -8323, -12481, -16641, -20803?\n\"Answer: -q**2 - 4153*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 3*i**2 - i + 244. What are the prime factors of y(-20)?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -2448*r**5\/11 - 76356*r**4\/11 - 51170*r**3 + 521546*r**2\/11 + 10688*r + 2560\/11 = 0. Calculate r.\nAnswer: -16, -1\/6, -5\/204, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Suppose 0 = -2*u - z*u - 6, -243 = -3*k + 3*u. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**6\/15 - u**3\/3 - 2*u**2. Differentiate j(i) wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42479761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 28*g - 11*g**2 - 16*g.\nAnswer: -11*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -87852 divided by 3?\nAnswer: -29284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + v = -0*v, -4*l + v - 2 = 0. Let y be 0\/1 - 0 - l. Let w = 151 - 152. Sort w, 0, y.\nAnswer: w, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*v - 4. Let m be (-6)\/14 + (3 - 3). Which is the closest to 1? (a) m (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9011, 9001, 8987, 8969, 8947?\n\"Answer: -2*a**2 - 4*a + 9017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7))**(-1\/8)\/(c**(-2\/5))**28 assuming c is positive.\nAnswer: c**(1573\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -1, 19, 43, 71, 103?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9515 divided by 1.\nAnswer: 9515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1636373310 to the nearest 1000000.\nAnswer: 1636000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82143 and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 11830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 271800 and 360.\nAnswer: 271800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**2 - 2*d + 5. What is a(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(14\/4))\/(4\/(-28)). Solve a + 6 = 4*l, 2*l - c*a = 7*l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -944, -1876, -2812, -3752, -4696, -5644?\nAnswer: -6596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.16+-0.02988213\nAnswer: -2.18988213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 0*i**5 - 10*i + 0*i**4 + 0*i**2 + 0 + 5\/3*i**3 - 1\/3*i**7 + 0*i**6. What is the second derivative of f(o) wrt o?\nAnswer: -280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47265 = 5*a + 5*j, 8*j - 5*j = -a + 9461. What are the prime factors of a?\nAnswer: 11, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0 (c) -49 (d) -18\/13 (e) -4 (f) -0.03 (g) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 11:17 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 18*w. Let o be a(3). Let p = 127 - o. Suppose 115 = d - p. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((o**0*o)\/o)\/o)\/o)\/o*o\/o**2)**(-7))**(-5))**30 assuming o is positive.\nAnswer: o**(-4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 158535 and 61560?\nAnswer: 216875880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -d + 2*k, -5*k - 40 = 209*d - 204*d. Let a(p) be the second derivative of p**3\/3 - p**2 - 3*p. Give a(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 12*x**2 + 3*x - 45. Let y(k) = -k**3 + 3*k**2 + 20*k. Let s be y(6). What is t(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3292 + 65*c**4 + 451 - c - 44*c**4 - 34*c**2 + 733 wrt c.\nAnswer: 252*c**2 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from wwowwowww.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1264715 and 10?\nAnswer: 2529430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 12*f**2. Let k(o) = 1763261*o. Calculate w(k(b)).\nAnswer: 37309072249452*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/164 and (15\/54)\/(2091\/(-1275)).\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -119 - -122. Suppose -c = u*c - 12. Solve 8*m - 10 = c*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + p + 84. Let q = p + 31. Calculate the highest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 1986147 = 4*z - 1986282, 0 = -7*z for w.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-24))\/((-6)\/18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12273 - -12153 - (3 + (-21 - -1)).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12897 + 12886 - 25555 + 5*i**3)*(4 - 3 + 1).\nAnswer: 10*i**3 + 456","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 50.8 times 22\nAnswer: 1117.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357926 is divided by 319?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2. Let h(g) = -93*g**2 - 5*g - 19. Let k(t) = 33*t**2 + 2*t + 7. Let d(m) = 4*h(m) + 11*k(m). What is d(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**3\/9 - q**2\/6 - 2*q\/3 - 22. Find d, given that b(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 4 = 4*n. Let u = 6 - n. Solve u*g - 12 = 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -330?\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from psssxpbppbxsxsspoop. What is prob of picking 1 o, 1 x, and 1 p?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-12))\/((-4)\/(-12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47 - 151 + 11 + l + (2*l + 3 - 3)*(1 + 0 + 1) - 2*l + 0*l + 0*l.\nAnswer: 3*l - 93","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*n - 28 = 114 - 34. Let k(w) be the third derivative of 0*w - 3\/5*w**3 + 1\/20*w**4 - 12*w**n - 1\/600*w**5 + 0. Factor k(a).\nAnswer: -(a - 6)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2499079627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 0.4, 0, -138, -13 in ascending order.\nAnswer: -138, -32, -13, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*m**5 + 289*m**2 + 4*m - 2017*m**5 - 280*m**2 wrt m?\nAnswer: -118860*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 15. Suppose -156 = -f*b + 2*b. Suppose -689 = -49*q - 12*q + 104. What is the highest common divisor of q and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 493 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - x = 2591, -5*i + 2*x = 828 - 4063. Let f = 1464 - i. Does 62 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + g = -5, k + k = g - 7. Sort -2, 2, k in increasing order.\nAnswer: k, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -15, 5, 38, -2 in decreasing order.\nAnswer: 38, 5, 4, -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3776\/(49 - -10) + 3 + -1\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 91 + 194. Let n = -22 + z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (2 + -7 - -7) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734747 is divided by 485?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74\/39 - 1421\/975. Let t = s + 4\/25. Let j = 1101 + -1102. Which is the nearest to -1? (a) 2\/3 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55825 is divided by 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 20. Let p(x) = 4*x**3 + 5*x - 2*x - 4*x - 2*x. List the prime factors of p(y).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2781 and 0.322?\nAnswer: 0.0895482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -29*r + 11. Let l be z(-17). Let y = l - 462. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**2 - 235*n + 668. What is s(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1229*n + 1234*n - 170. Suppose -11*p = -n*p + 736. What is the remainder when p is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/40 + l**5\/30 - l**4\/24 + l**3\/6 + l**2. Let t be n(3). Suppose -t = 11*h - 12*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(891) + sqrt(44)\/sqrt(16).\nAnswer: -17*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -14051023032?\nAnswer: -14051023031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5 = -3*v - 2, -5*w = 2*v. Suppose -2*x = w*x - 68. Suppose -d + 7 = -u, 49 = 3*d + 2*u + 18. Calculate the remainder when x is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2)*(3*f - f - 12*f)*(3 + 0 - 2) in the form b + r*f and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9596 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/((w*w**(-3))\/w)))\/w)**(-1\/2) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/80)\/(2 + (-240)\/125)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/4 and (915\/(-5025))\/(4\/(-5))?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - (-98 + 80)) + (25 - 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(189)*2)\/(sqrt(30)\/(-2*sqrt(10))).\nAnswer: -12*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -9. Suppose x*v = 16 + 12. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (1 + -4 - -2). Let i(b) = 76*b - 1. Let f(u) = -38*u. Let t(d) = w*i(d) + 5*f(d). What are the prime factors of t(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16780 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 154274987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9959\/7735 - 2\/1105. Find the common denominator of b and -3\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 28934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 157934 - 157901 = -3*p, 2*p + 8 = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k - 69*k = -156 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = r + 100, 28*b - 6*b = 9*b + 12*b - 3*r - 60 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from uuqdujuulquqq?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 8*d**2 + 9*d + 5. Let j be v(9). Let g = 9 + j. Determine z so that -g*z**5 + 10*z**3 + 6*z**3 - 2*z**2 + 5*z**2 - 3*z**4 - 2*z = 0.\nAnswer: -1, -1\/2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 1\/6*i**3 - 5*i - 3 + 0*i**2. Let t(u) be the first derivative of q(u). Let k(n) = 4*n. Give k(t(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (22\/3)\/((-10)\/(-405)). Let u(b) = 297 - x - 2*b + b. Let o(v) = v + 1. Let t(i) = -21*i + 14. Let f(g) = -14*o(g) + t(g). Determine u(f(w)).\nAnswer: 35*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -68\/24153?\nAnswer: -68\/24153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 28 = -4*b, 0*b - 14 = -2*b + 4*r. Solve 0 = l + 2*o + 1, 2 = l + b*o - 2*o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36, -109, -312, -711, -1372, -2361?\n\"Answer: -11*g**3 + g**2 + g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q - 9. Let u be c(-8). Let w = -28 + u. Let m be (-2 - 66)\/(-2) + -1. Calculate the highest common factor of w and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 8\/13, -0.4 in decreasing order.\nAnswer: 17, 8\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 105?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:35 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 41*u**2 + 656*u + 11. What is d(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**3\/3 - 3*h**2\/2 + 3*h - 713. Give w(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145312, -145356, -145430, -145534, -145668?\nAnswer: -145832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - b + 6*b - 35 = 0, -4*j = 5*b + 37 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j + 14 + 26 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004212572 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-7) + (-626)\/(-14). Suppose -y - 4*p = 1, -2*p = 5*y - u - 40. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4666526l?\nAnswer: 466.6526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1623, 1615, 1607?\nAnswer: 1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 + 5807 = 4*f. Let w = -809 + f. List the prime factors of w.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7978 + 2320 = 0. Let d be n\/4 - (-2)\/4. Suppose -85 = -2*t + d. Round t to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqbqqqqqqbbqqqp. Give prob of sequence bq.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.8, -42\/71, 11, 2, 4?\nAnswer: -42\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 232 + -229. Suppose 2*f + a*l = 5299, 2*l + 1573 + 1094 = f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 189088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8431370505.\nAnswer: 3, 5, 187363789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 536342593938\nAnswer: 536342593938.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 + -4 - (26 + -64 + 5).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a - 287 = -5*o, 0 = -3*o - 5*a + 197. Are o and 2\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 4166892*b + 20834535.\nAnswer: -3*(b - 1388969)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 13) in base 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*m - 4, 3*m + 2*x - 8 = -2. What are the prime factors of ((-1152)\/(-12))\/(m\/3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12019, -24210, -36407, -48610, -60819, -73034?\nAnswer: -85255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1244 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.67498*-738\nAnswer: -498.13524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 - 305*b**3 + 19 - 18 + 13*b**3. Is t(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 w when four letters picked without replacement from {z: 3, c: 7, w: 8}?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2252 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1504293078 to the nearest integer?\nAnswer: 38785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -q - 2*t, -3*t + 9 = -q + 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -244.6, 3\/5, -80, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40087 - -40087.000109345. Round q to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2860 and 35\/26.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a factor of 282369058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159100.\nAnswer: 2, 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -1254442155?\nAnswer: -1254442201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -17*z + 21. Let a be c(1). Solve 2*j = 6 - a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 54*v**2 - 141*v + 90.\nAnswer: -3*(v - 15)*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (2 + (-10)\/5). Solve 2*h = -o + 11, 0 = -j*o - 3*h + 14 + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 33 = 21*t - 18*t, -t - 7 = 5*y for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-19))\/(3024\/3192).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 + 156 + 149 - g**2 - 458.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.078 (b) 1 (c) -0.765 (d) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -694.998844 - -695. What is h rounded to five decimal places?\nAnswer: 0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-210)\/20) + (-7)\/(-2) - -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = -4*a, -37*a = -68*a + 29*a. What is the second smallest value in 2.1, 63, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0, -22.\nAnswer: -22, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127*j**3 - 59*j**2 - 1 wrt j.\nAnswer: -762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -2 - -3)\/1. Suppose t - g = 3*g + 2000020, 5*t - 2*g = 10000010. Suppose y*c = -c - t. What is c rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*c = 315, 4*c = 35*k - 34*k - 90. Suppose 2*p - k = -84. What is the lowest common multiple of p and (-2)\/(-5) + (-13)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f + l + 1123, -8 = -4*l. Let k = -147 + f. Calculate the remainder when k is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*m**4 + 13*c**3*m**2 - 20*c**3 + 55*c**2*m**6 wrt m?\nAnswer: -24*c**3*m + 6600*c**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*i - 34 = -256, -3*h + 5*i = -106. What is the lowest common multiple of 48 and h?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 11 - 71 = 0. Let o(x) = 6*x**2 + x - c*x**2 + 10*x**2 - 9*x + 7. Is 5 a factor of o(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9907 + -9892.615. What is h rounded to 1 dp?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.073 (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 342, 277, 252, 267?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-1\/12)*(w\/w**(5\/2))\/(w**(3\/5)*w) assuming w is positive.\nAnswer: w**(-191\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = -4*i - r, -8 = -2*i + r. Suppose -i*d = d - 150. Does 15 divide -1 + (2 - 1) + d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 1)\/((1\/(-4))\/(1\/(-2))). Let b(l) = l**2 + l - 3. Calculate b(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*y - 5*m, 2*y - 7*y = 4*m - 17. Let k be (-3 - -4) + 0 + y. Solve -5*f = 8 + k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*o - 2*g - 222, -2*o - 5*g + 141 = 0. Suppose 74*t - 147 = o*t. What is the highest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2\/7325 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 512962 and 3590731\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3828 is divided by 1392.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + 63*s - 200. Calculate the remainder when 462 is divided by j(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 - 11362*d - 1430735. Determine a(-122).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.432814 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 497*a**2 - 3*a + 6. Let h(q) = -40260*q**2 + 244*q - 488. Determine 244*f(g) + 3*h(g).\nAnswer: 488*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and 2917919857.6.\nAnswer: 2917919858.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -8 - (-66)\/6 - (-183 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -668*h**5 + 5*h**3 - 466*h**2 + 6.\nAnswer: -40080*h**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (474\/553*(2849\/22)\/((-3)\/6))\/(-2)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(4\/(-4))*(-1)\/1. Suppose -6*m + m = -10. Let c(p) = 0*p**3 + 2*p**m + 0*p**3 + p + 0*p**3 - 2*p**3 - x. Give c(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0\/s)**(1\/13))**(9\/13)\/((s**(-1)*s)**(1\/3)*(s\/(s\/(s*s**(-2))))**(-2\/15)) assuming s is positive.\nAnswer: s**(-473\/2535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-1)*2\/18. Let l = 8.8 + -9. Let b(p) = p**2 + 8*p + 7. Let t be b(-6). What is the biggest value in l, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3157 + -546159\/173. Is 0 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/11, -3, -0.3, -360?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2052, -4028, -5924, -7740, -9476, -11132?\nAnswer: -12708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37251.12 years in millennia?\nAnswer: 37.25112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -35*l + 752. What is the remainder when 979 is divided by f(16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10561899 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 458 + 10. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:52 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q**2 - 28*q + 10. Give d(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 297*y**2\/2 + 6*y - 71. What are the prime factors of j(1)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 14*b**4 - 4236210*b**3 + 4236211*b**3 + 2*b**2 + 0*b**2 in the form k*b + i*b**3 + l*b**2 + r + y*b**4 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077594528 to the power of 1\/3, to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 11350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**3 + 8*r**3 + 5*r**3 - 4.\nAnswer: 20*r**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1303 (base 4) to base 16.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81049?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w. Let a(d) be the second derivative of 2*d**3 - 5*d. Calculate a(z(p)).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 5*f - 1 - 9*f + 5*f + 4*f**3 + 0*f in the form y*f + j + n*f**2 + d*f**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5128247?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*j - 42 = 0, -4*x + 2*j + 58 = -0*x. Let o(b) = -681*b**2 - 1 + 661*b**2 - x. Let q(w) = -w**2 - 1. Determine 2*o(k) - 36*q(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 4:51 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0299880586816 + 3841662.0296980586816. Let y = 3841680 - o. Let v = 18 - y. Round v to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, h: 11}. What is prob of picking 1 h and 3 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101445, -107132, -116611, -129888, -146969, -167860, -192567?\nAnswer: -221096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.965 - 0.035. Let v = g - -40.9988. What is v rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -14, 3.568, 0.5, 1\/9, -1\/2, -0.09?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhh when three letters picked without replacement from xhhxhhhhhhxhxxhh.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -7, -2, -4, 132, -209 in descending order.\nAnswer: 132, -2, -3, -4, -5, -7, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.508 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (23*13)\/(-32 - -31). Let h = -296 - r. Let j(t) = -t**2 + 7*t + 7. What is the least common multiple of j(7) and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -40 (b) 0 (c) -0.4 (d) 2 (e) -49 (f) 3550\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 + 329*b + 5218. Give p(-38).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t - 55*t + 377 = 23*t - 1998 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 217\/30 + -19\/3. Calculate the common denominator of u and (-865)\/210*3 - (-2)\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15469135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46671979\/2335 - -19988. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-2) - (0 - -1). Let h(j) = -1 - 8*j - j**2 + 3 - s*j. Does 2 divide h(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80\/13 - -82\/13. Which is the third biggest value? (a) -0.5 (b) -6 (c) y (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34017 - 34166.79. Let a = i - -152. What is a rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/5 + 62182*i**2\/5 - 483294048*i\/5 - 483356232\/5.\nAnswer: -2*(i - 15546)**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -3*m + 516 - 618, -f = 4*m + 130 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(24)\/sqrt(2)*4) + -4 - (sqrt(96)\/sqrt(4)*2)\/(4*2*sqrt(8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (-1 - -28) - (482 + -476)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 189958 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (239*p**3 - 18*p - 131*p**3 - 50*p**3)*(3*p - 2*p - 2*p).\nAnswer: -58*p**4 + 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a. Let i(v) = -21*v**2 - 4*v. Let s(n) = 105*n**2 + 21*n. Let k(j) = 21*i(j) + 4*s(j). Determine k(y(f)).\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 24. Let c = -3 + 2. Sort u, 1\/4, c in descending order.\nAnswer: u, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2. Let b(c) be the second derivative of -c**4 - 5*c. Determine b(p(o)).\nAnswer: -48*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k*l*u**3 + 2302*k*l*u**2 + 2*k*l - 6*k*u**2 - k + u**3 + 90*u**2 wrt l.\nAnswer: -3*k*u**3 + 2302*k*u**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4849567 is divided by 6314?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -39137?\nAnswer: 39138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5)\/n)**(-26)\/((n**(-1)*n)\/(((n*n\/(n**(-2\/7)\/n))\/n)\/n)) assuming n is positive.\nAnswer: n**(1319\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126\/5 + -132\/5. What is the smallest value in -0.4, 0.02, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 38 - 8. Let p(d) = -d - 2. Calculate p(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-60))\/(1\/(-1))*4882\/(-4882)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/(-4) - (-9)\/(-36). Suppose c*n - 16 = g + 10*n, 3*n + 12 = g. Factor 3\/2*z**2 - 3\/2*z**3 - 1\/2*z + g + 1\/2*z**4.\nAnswer: z*(z - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5705 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cppppmpppctpp. What is prob of sequence mt?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 159 = z + 2*a, z - 5*a = 53. Let s = z - 44. Solve -3*n + 3 = -s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3973)\/(-203) - 6\/(-14). Suppose -15*r - 545 = -c*r - j, 2*r = 5*j + 218. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 1:01 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 - 3*x**2 - 2*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -373676875 or -373676874?\nAnswer: -373676875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**4\/12 - 4*p**3 + 19*p**2 + 68*p. Is a(23) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3089 + 3116. What is the highest common divisor of 13743 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -82603 (b) 3\/7 (c) -2\/3 (d) 31 (e) -3 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -195.8? (a) 46 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 + 6*t**2 - t**2 + (-t + 3*t - 3*t)*(6*t - 3*t - 4*t) - 274*t + 274*t + 23*t**2 + 4*t**2 - t**2 + 9*t**2 in the form a*t**2 + g*t + r and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-39)\/(-65) - (-166)\/(-10). What is the units digit of g\/4 + -1 + 1 + 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*r - 308*r = 486 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 17802. Let w(t) = -t**2. Calculate w(p(r)).\nAnswer: -r**4 + 35604*r**2 - 316911204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s + 3*s. Suppose 0 = g - 0*y + 2*y - 236, -3*y - 15 = s. Let q = -135 + g. Does 37 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-12) + (-1 - -4). Let m(k) = 5*k**3 + 14*k**2 - 5*k - 6. Let d(c) = -2*c**3 - 5*c**2 + 2*c + 2. Let n(g) = -8*d(g) - 3*m(g). What is n(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*c**4 + 33*c**4 - 105*c**4 + 23*c**4 + 2*c**2 + 4 - 4*c**2 + 2*c in the form k*c**3 + j*c**4 + s*c + b + q*c**2 and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k**2*o + 2*k**2 + 524*k*o + 10*k - 2854333*o wrt k.\nAnswer: 8*k*o + 4*k + 524*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 6\/9*6. Suppose 0*k + 3*k - 15 = -t*v, k - 2*v + 7 = 0. Is 12 a factor of 278\/8 + k\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*d - 45. Let t be d\/(-17)*(-22)\/66. Which is bigger: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 952 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 9 - 3 = 0, -y + 8 = l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - o**4 + 27596*o**2 + o**3 - 27598*o**2 - 5 - 2*o to the form m*o**2 + r*o**3 + d*o + z + i*o**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -151834 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*u + 7. Let q(h) = -2*h + 7. Let k(s) = -13*s - 46. Let p(a) = -8*a - 27. Let v(m) = 6*k(m) - 10*p(m). Give u*q(c) + 4*v(c).\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98656284523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 18615?\nAnswer: 55845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p**3 + p**2 + 2*p + 2. Let g be t(-1). Let i(q) = q**3 + 6*q**2 - 4*q + 8. Give i(g).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11789917531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 10:12 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 3815*m - 19130. What is t(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((68\/37 - 2)*(-8)\/96)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31, -71, -177, -379, -707, -1191?\n\"Answer: -5*s**3 - 3*s**2 + 4*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20928 and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -25146 (base 10) to base 12\nAnswer: -12676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*n + 73. Suppose -5*q - 3*l = -10, n*l = -3*q + 15*l + 20. Solve 16 + 9 = -q*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26382075?\nAnswer: 3, 5, 53, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((-7 - (0 + -3)) + 7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, 2, -4, 21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 867920083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.1. Let h be 1*((-26)\/(-30) + -1). Let x = -374 + 373.7. Which is the biggest value? (a) h (b) x (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1581, 12122, 40589, 95946, 187157, 323186?\nAnswer: 512997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-303)\/3)\/(3\/(-8)*-4*70\/105)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 + 13*b**2 + 4*b - 39. Let o be z(6). Solve -o = -7*j + 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*f - 440, 0*a + 480 = 4*f + 4*a. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*d + 2*d. Suppose -4*u - u + d*v + 30 = 0, 2*u + 2*v = 24. Let z be (-2)\/4 + 21\/2. Which is greater: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 547 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -60\/23*u**2 + 0 - 58\/23*u - 2\/23*u**3 = 0?\nAnswer: -29, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2140 is divided by 476.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2382888 and 27708.\nAnswer: 2382888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150*f**4 + f**3 + 293*f**2 + 748940*f?\nAnswer: 1800*f**2 + 6*f + 586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 20*n**2 - 91*n + 226. Determine k(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743507 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171737675 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + j**2 - 26. Let r be q(0). Let i = r + 30. Suppose 4*h = h. Sort 1, h, i in descending order.\nAnswer: i, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 25 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckb when three letters picked without replacement from qqrqcnnnqqbcnqk.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193544 is divided by 1879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25.17824628364 and 0.4.\nAnswer: -24.77824628364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*h - 20*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9146.96 millimeters to kilometers.\nAnswer: 0.00914696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 57 = 15*s. Suppose -s - 1 = 5*q. Calculate the remainder when (-2)\/(-4) + (-234)\/q is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6676344 divided by -247272.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -17*w + 116. Calculate j(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 2. Let m be h(0). What is the second derivative of -l**3 - 32*l**m + 15*l + 32*l**2 wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240, -983, -2870, -6471, -12356, -21095, -33258, -49415?\nAnswer: -70136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 366*g**2 + 362*g**2 - 725*g**2 + 2 + 30*g**4 - g to d + q*g + h*g**2 + r*g**3 + p*g**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 65*u**3 + 105*u**2 + 425*u + 250.\nAnswer: 5*(u - 10)*(u - 5)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**3\/6 - 4*z**2 + 2*z. Let j be q(-14). What is the derivative of -2*p + 5*p**2 - 4 - 4*p + j*p wrt p?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -1831*h**3\/3 - 2346*h - 1878. Differentiate v(g) wrt g.\nAnswer: -3662*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5360391 or 1?\nAnswer: -5360391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-1\/13)\/v)*v\/(v\/(v**(-5\/3)\/v)))\/(v**(-4))**(-50))**(-33) assuming v is positive.\nAnswer: v**(86053\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3825 = 5*i + 2*l - 302965, 5*l = -4*i + 239312. What are the prime factors of i?\nAnswer: 2, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*k + 489, -3*f + 486 = f + 2*k. Let n = f - 5. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-1 - (-2)\/3). Let x = -15 - -19. Suppose x*q = 2 + 38. Solve m - q = s*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 18. Let k(l) = 3*l**3 - 2*l**2 + 3*l. Let n be k(a). Suppose -n - 28 = -z. Calculate the highest common divisor of z and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -111440301?\nAnswer: -111440321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 9 = -15*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 448.49, 1, -1.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 143107, 143213, 143341, 143503, 143711, 143977, 144313, 144731?\n\"Answer: 2*l**3 - l**2 + 95*l + 143011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**46\/n)\/n*n)\/(n\/n**(36\/5))*n\/((n\/((n**(-2\/23)\/n)\/n))\/n)*n**(1\/26) assuming n is positive.\nAnswer: n**(152943\/2990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 + 92. Let o(a) = -128 - 2*a - 4*a**2 - a**3 + f*a**2 + 124. Determine o(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2\/2 - 52185006*p - 1361637425610018 = 0.\nAnswer: -52185006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -8*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7895 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g - g**2 - 4 + 0 + 0. Suppose 6*x = 2*x - 16, -4*s = -4*x - 4. Determine w(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**4\/3 + 4*i**3 - 32*i**2 - 57*i. Let m(b) = 0. What is b?\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 30*f**2 + f. Let g(o) = 65*o. Determine g(y(b)).\nAnswer: 1950*b**2 + 65*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7704*h - 109*h**2 + 7704*h)*((-4 + 0 + 3)*(6 - 2 - 2) + 2 + 2 - 3 + (-1 + 2 - 3)*(1 - 1 + 2)) - 2*h**2 - 2*h**2 + 0*h**2.\nAnswer: 541*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/392 and -67\/16576.\nAnswer: 116032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p + 1. Let i be g(2). Suppose 4*z + 4*m + 8 = 3*z, 3*m - i = 4*z. Let v be (3 + z)\/((-1)\/3). Solve 0 = v*n - 11 - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(4\/(-2)) - (-368)\/(-108) and -157\/30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*d, -5*x + 48 = -3*d + 8. Solve -x*y = -z + 5*z + 23, -4*z + 2*y - 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.99995 - -6. What is s rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 - n - 36. What is the hundreds digit of t(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4035774 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1521*z**4 - 245738922*z**3 + 9925650249997*z**2 - 509007220436*z + 6525731524.\nAnswer: (z - 80782)**2*(39*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.8 * -0.0208875.\nAnswer: -0.058485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 132*o**5\/5 - o**4\/2 - o**3\/3 + 3*o**2 + 378*o - 10859. Find the third derivative of j(l) wrt l.\nAnswer: 3168*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (202\/303)\/(1 - 1 - 1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 3*r**2 - 2*r - 3. Let j be a(4). Suppose j + 14 = k. Calculate the remainder when k is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 36578603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 4*w**2 - 236*w + 5. Give f(18).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10.05 and -98.6904.\nAnswer: -88.6404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0 + 8, 5*j + 3*l = 142. What is the remainder when 50 is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-11)*-1 + 1 - (440283\/7832 - 49)\nAnswer: -57\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1014 + -422. Let z = -592.0000543 + y. What is z rounded to 6 decimal places?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.22? (a) -5 (b) 0.4 (c) -2\/5 (d) 5 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*h = 743, 29*v - 33*v + 716 = -4*h. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5)*(-6)\/((-18)\/(-2505)). Suppose 6*l = 1804 - t. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2179, 2184, 2191, 2200, 2211, 2224?\n\"Answer: t**2 + 2*t + 2176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 + 262563017?\nAnswer: 262563315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*m = 1291, 325 = 2*z - 3*z - m. Does 15 divide z\/(-24)*8\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 14 (b) -0.1 (c) 1\/2 (d) -7 (e) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3.5 + -32554.4\nAnswer: -32550.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165989720?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1613, -2699, -3783, -4865, -5945, -7023?\n\"Answer: w**2 - 1089*w - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7262033071 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/3 + (2 - 54). Let q = 165 + p. Let j = q + -73. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1162\/155 - -251\/31. Which is bigger: -18.12 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1436b (base 15) in base 10?\nAnswer: -64901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13321113 - -10?\nAnswer: -13321103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -156 + -15?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2. Let i(b) be the second derivative of -143*b**3\/3 - 9*b**2\/2 + 2*b - 1115. Calculate i(j(m)).\nAnswer: -572*m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*f - 26*f + 15. Suppose -2*t = -3*t - 3*n, 24 = f*t - 3*n. 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: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.0018 (b) -4\/3 (c) 0.037 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y. Let x(z) be the first derivative of z**3\/3 - 9. Determine s(x(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*h = 390*h - 12492 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -1) + 9\/(-3). Suppose 2*l - 5*m + 26 = w, -l - 4*m + 19 = -2*l. What is the nearest to -0.1 in 1\/3, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0 (c) -25 (d) -2\/9 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 0.151 (c) 12120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-735)\/588*(-696)\/30 - -8.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 3*b**4\/2 - 3*b**3 + 2*b**2 - 50*b + 115. Is 14 a factor of s(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, s: 2, q: 1, a: 2, v: 1, y: 1}. What is prob of picking 1 v and 1 z?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/60 and 18336\/(-7744) + (-126)\/(-54)?\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 418680, 837027, 1255374, 1673721, 2092068, 2510415?\n\"Answer: 418347*j + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(65)\/(sqrt(20)*-2) + 1.\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-5 + (sqrt(76) + -1 - sqrt(76)) + -1 + (1 + sqrt(76) + 0 - (-3 + sqrt(76) + 1))))**2 + -4)*-1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/5)\/b*b)\/b)\/b**(-4\/3)*(b**(-1\/3))**(-2\/67))**(-4\/3) assuming b is positive.\nAnswer: b**(76\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -875*u**2 + 110*u + 24. Let p(g) = 438*g**2 - 56*g - 9. Let n(z) = 2*k(z) + 5*p(z). Find the second derivative of n(o) wrt o.\nAnswer: 880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*s = 76*s + 90 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1945551 (base 11) to base 7.\nAnswer: 36636541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45 and 4526?\nAnswer: 203670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**6\/1080 - q**5\/360 + 2*q**3\/3 + 3*q**2. Let r(t) be the first derivative of a(t). Determine h so that r(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**4\/11 + 315*z**3\/11 - 2325*z**2 + 120125*z\/11 = 0.\nAnswer: 0, 5, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -0.1 (c) 8 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2 + -1*sqrt(833) + (sqrt(833) - (sqrt(833)*-2)**2) + -4)*-2 - 3*(1*(-1 + sqrt(833)))**2*5).\nAnswer: -29210 + 1050*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10402 - -15134. Calculate the lowest common multiple of x and 7.\nAnswer: 4732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149121965 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-11 - -17 - 6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 30. Let k = h - -18. What are the prime factors of 62\/(-4)*k\/3?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/44577280 and 97\/64.\nAnswer: 44577280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74732 at most 73715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 31*b**3 - 5*b**2 + 3*b - 2. Let q(m) = 61*m**3 - 11*m**2 + 7*m - 5. What is 2*q(j) - 5*u(j)?\nAnswer: -33*j**3 + 3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15885 (base 11) in base 8?\nAnswer: 53525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1559*g - 27829 - 35344 = -22639 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -193*k - 2889. What is y(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114\/(-2318)*(-14)\/21)\/(3\/(-3))?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.18, 3.9, -2?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 48*b + 540 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Let z(j) = 23543*j**2. What is h(z(m))?\nAnswer: 23543*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1894 by 2.\nAnswer: -947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.04492973.\nAnswer: 0.017971892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 79*a - 206. Calculate x(-42).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 1:46 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 12.54. Let s = -7998.54018 - -7999. Let a = j - s. Round a to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(76) + sqrt(76)) + -1)**2.\nAnswer: 36*sqrt(19) + 6157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43220167.2 rounded to the nearest 100000?\nAnswer: 43200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/3 - 4\/(-6). Let p(r) be the second derivative of -4*r - 1\/3*r**3 + 1\/4*r**4 - 1\/20*r**5 + 0 + 1\/2*r**2. What is p(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 56*p + 947. Let v(i) = 3*i**2. Give r(v(u)).\nAnswer: 168*u**2 + 947","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 43213 (base 5) to base 11\nAnswer: 2227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16263 (base 7) in base 9?\nAnswer: 6273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-822)\/304 + (-2)\/(-4). Let u = y + 11\/19. Let b(s) = s**2 - 7*s + 7. Calculate the common denominator of b(5) and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 - 189 + 1)*(-r**2 - 6*r**2 + 2*r**2).\nAnswer: 1240*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*n - 4 = 0. Let x(m) = -466*m**2 + 235*m**2 + 230*m**n. Let w(p) = -8 + 0 + 2*p - 5*p. Determine x(w(z)).\nAnswer: -9*z**2 - 48*z - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 214\/(-1819) + (-38)\/(-34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1670)\/(-167)*10\/(-4)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*(l*l**(-1)*l)\/l*l*l)**(5\/7))**(-47) assuming l is positive.\nAnswer: l**(-940\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 82 (b) 2\/21 (c) 179639\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhuu. What is prob of sequence huuh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9*b**2 - 25. Let u(l) = 8*l + 376. Let i(r) = -2*r - 141. Let t(g) = 8*i(g) + 3*u(g). Calculate t(m(o)).\nAnswer: -72*o**2 - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-34)*(-8)\/72*6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -41. Is v at most 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4)*w)**6\/((w\/(w**(-5)\/w))\/(w**(4\/7)*w)))\/((w**(2\/5))**3*w**(-1)*w**(-5)\/w*w*w) assuming w is positive.\nAnswer: w**(201\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 + 12 = 0. Suppose -n*l**4 + 48*l + 8 - 9*l**4 + 0 + 38*l**3 - l**2 - 14*l**5 + 83*l**2 = 0. Calculate l.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2770*c**2*h**2 - c**2*h - 21064*c**2 - 2*c*h**2 - 3*c - 19*h**2 wrt h.\nAnswer: -5540*c**2 - 4*c - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/6654 and 107\/2154.\nAnswer: 2388786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 470756 and 47476.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -42. Let d be 6\/u - 1443\/(-15). Suppose -7*m = -4*m - d. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 464540*w**2 + 1393627*w - 929086.\nAnswer: -(w - 2)*(w - 1)*(w + 464543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from jjjttjtjjtjtjjtt?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*t + 229 - 33. Let c(v) = -v**3 + v**2 - 2*v. Let m(s) = 3*s**3 - 4*s**2 + 7*s. Give t*c(i) + 4*m(i).\nAnswer: -2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11269965 to the nearest integer?\nAnswer: 3357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 28 and -16.3.\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + -3 - (1 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 1. Let j(p) = -1448*p - 72. Calculate 144*g(a) - 2*j(a).\nAnswer: 2752*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 3, -1\/2, -4, -8\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*i - 44 = 0, -2*i + i = x - 10 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18963?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 11 = -r, -6*x = -x - 10. Let o = -1 + r. Suppose -26 = -5*h + 4*k, h - 3*h - o*k = 4. Solve 1 + h = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-3\/7)*p))\/((p**(2\/85)*p)\/p)*(p**(-1\/12)\/p)**(2\/65) assuming p is positive.\nAnswer: p**(1327\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32416 and 252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*8\/(-504)*-3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 5*z**4\/24 - 5*z**3\/6 - 4122*z**2. Let x(b) = -4*b - 4. Calculate x(y(q)).\nAnswer: -20*q + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2478 + -2447 + 1 + -5\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1168 - 58 = 0. Let s = t - -1820. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -50 and -12098.39.\nAnswer: -12148.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37039, -74084, -111129, -148174?\n\"Answer: -37045*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73593 or -73587?\nAnswer: -73593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22564 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 66*h**4 - 27*h**2 + 12*h - 27. Let s(m) = 5*m**4 - 2*m**2 + m - 2. Let b(p) = 2*i(p) - 27*s(p). Find the second derivative of b(x) wrt x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 21253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*6\/(-16) + (2875\/140)\/(-23). Which is the fifth smallest value? (a) -2\/11 (b) f (c) 5 (d) 0.5 (e) 3\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*i - 20*i - 26*i + 88*i - 22*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/30*(-105)\/14. Suppose 3*l - 19 = 8. Let q = l + x. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - t - 1 - 2*t)*(-4*t + 13*t - 18*t).\nAnswer: 54*t**2 + 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9)*-3)\/((-1339)\/57577)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 230*t**3 - 4*t**2 + 26*t - 24. Determine m(1).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -0.112?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -72. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u - 8. Suppose 2*s + 0*o - 5 = -o, -2*s - 2*o + 10 = 0. Let y = -8 + 36. Solve -4*f = -4*j + y, 4 + s = u*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1171 times -5296?\nAnswer: 6201616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 38 = -2*a, -12*g = 33*a - 10*g + 369 + 293 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 = 3*q + 7, -6 = 4*q + 2*p. Let o be (-1 - (0 + -2)) + 2. Suppose -t + 1 = 3*a, -2*a + a + o*t + 17 = q. Solve a*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:56 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1730267, -1730243, -1730217, -1730189?\nAnswer: -1730159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 4*x + 15*x - 7*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -17, 5 in ascending order.\nAnswer: -17, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5 + t - 3*t + 3*t + 2*t. Calculate the least common multiple of u(4) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 126500 and 126455 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -5, 56 in ascending order.\nAnswer: -5, 4, 7, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g - 2*g**3 - 8*g + g - g**3 wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-2)\/4 - -2. Suppose -2*l + 64 = -0*l + 2*m, -2*l + 5*m = -50. Suppose -u*i = 2*i - l. What is the greatest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67\/(-335) - (0 + 19\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8843 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5951, -5970, -6021, -6110, -6243, -6426, -6665?\nAnswer: -6966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-11)*(-472)\/1888?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 274 + 88 - 57*l - 363. Let f(q) = q. What is f(k(g))?\nAnswer: -57*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**4 - 2505*m**3 - 17980*m**2 + 101820*m - 111760 = 0.\nAnswer: -11, 2, 508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39114 or -39109?\nAnswer: -39109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2562 and 2583?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.42 + -0.08. Let g = 1.5 + r. Which is smaller: g or 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 109, -1 in increasing order.\nAnswer: -4, -1, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 239 - 140. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 229 divided by -2\nAnswer: -229\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 98729540348 and -5.\nAnswer: 98729540343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*l + 18 + 286. Find the second derivative of l*s**5 + 6*s**5 + 15*s - 50*s wrt s.\nAnswer: 440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -11*r**3 - 2*r - 1. Let a be n(-1). Let u = 14 - a. Is (-7 + 3 - u)*-1 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015305 rounded to six dps?\nAnswer: 0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1 = -4*v - 3, n = -v. Let t be (6\/n)\/(6\/20). Solve -7*m + 2*m - t = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3272.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 7661*o + 22974.\nAnswer: (o - 7658)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -28.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0412 * -19321\nAnswer: 796.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 561?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, q: 6}. Give prob of picking 2 f and 1 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -819.4495 + 819. Round n to two dps.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 22456860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 8769052?\nAnswer: 245533456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 11*k + 6. Let n be r(-11). Let u be (-34)\/(-8) + 2\/(-8). Suppose -n - 14 = -u*g. Is 4 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + 4 + 1 + (0 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16 + (-231)\/(-21))*-1. Suppose 0*r = r - 1. Solve -11 = g*i - r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23205195 divided by 1785015?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/623 + -3698\/3115. What is the nearest to -1 in -5\/6, 1, 0.5, i?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Suppose -15 - 8 = -z + 5*g, -3*z + 3*g = -33. Is 149\/4 + w\/z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-36)*-3 + 7\/28.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 - 2 + 112069*q - 3 + 5.\nAnswer: 112069*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 39, -4, 3, -7, 1747 in descending order.\nAnswer: 1747, 39, 3, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2004509, -4008996, -6013483, -8017970, -10022457, -12026944?\n\"Answer: -2004487*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 x when three letters picked without replacement from gggxgxgjxxxjgxg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 183*h - 186*h + 218586, -30 = -5*h. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-352)\/(-40))\/((-4)\/10). Let m(s) = -4*s - 83. Let c be m(g). Solve -c*u - 21 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 35195 by 5.\nAnswer: 7039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, 49, -0.1, -1.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eebeeeeebbb. Give prob of picking 3 e.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/3)\/2)\/((-436)\/(-13080)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 11416.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -3*v + 3*o + 14, -v + 5*o - 21 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(2\/1)*4. Let r = 3 + d. Let a(y) = y**2 + y + 2. Let x be a(-2). What is the highest common factor of r and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 16, x: 4}. Give prob of sequence ooxo.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -258.9 + 259. Let y = -0.3 + -0.1. What is the second smallest value in y, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1763 is divided by 418?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384862 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2*b - 6, -5*v - 4*b - 25 = -b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 1 b when three letters picked without replacement from {b: 2, q: 5, v: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 310\/3, -0.4, -5\/3 in descending order.\nAnswer: 310\/3, -0.4, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y = -42*y + 93 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 1. Let y be 6\/(-2) - (-8 + 0). Suppose 0 = -y*a + 157 - 127. Let p(c) = -4*c**3 + c + 6. Calculate a*b(u) + p(u).\nAnswer: 2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 - 4*k**3 - 4*k**3 - 6*k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 1760 = -4*t, -c = 2*t - 516 - 373. Let f = -310 + t. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 607033109200 and -2.\nAnswer: 607033109198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l + 2*l. Suppose l = 5*d + 212 - 1637. What are the prime factors of d?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 220\/35 - 4\/14. Suppose 0 = q + g + 2, -2*g = 5*q + 2*g + n. Let c(s) = -10*s + 3*s - 3 + s**q + 4*s. Determine c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x = 705. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309023633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1139493 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 117106 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/5, -1\/27, -0.4, -0.2, 2\/9, 83690.9?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*q = -148*q + 283. Suppose 4*f + 71 = q. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 - 12094 + 12094 + d**2 + 20*d.\nAnswer: -9*d**2 + 20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6325, 10713, 18031, 28285, 41481, 57625, 76723, 98781?\n\"Answer: w**3 + 1459*w**2 + 4*w + 4861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*b - 4*s - 4, -4*b + 4*s = -16. Let f(n) = 336*n + 4. Is 15 a factor of f(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.106993 times -8?\nAnswer: -120.855944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/13)*u*(u*u**(2\/73))\/u*u*u**(4\/21)\/u**(-30) assuming u is positive.\nAnswer: u**(639004\/19929)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/14 - 6)\/(1\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:45 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 13. List the prime factors of (33\/d)\/((-2)\/4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (17248\/1320 - 1\/(-3))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*h = 46, -5*n - 2*h - h - 56 = 0. Find the common denominator of ((-116)\/(-90))\/((-84)\/105) and 2\/n - 81\/(-20).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -229 + 229. Suppose -4*j - 93 + 113 = p. Solve -t + j = 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2154 - 2344.2. What is o rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2651*n**2 + 194*n + 5. Let i(l) = 2650*l**2 + 200*l + 5. Let z(v) = -5*b(v) + 6*i(v). Factor z(s).\nAnswer: 5*(23*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3100738827 to the power of 1\/2, to the nearest integer?\nAnswer: 55684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtgrfrgttfrftgttfttt. What is prob of sequence tr?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14256)\/40 + (-3 - (-24)\/10). What is j rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxr when three letters picked without replacement from {o: 3, x: 1, g: 1, r: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 8*o + 19. Give v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/3)\/((-6)\/(-9)). Suppose -2*l - 1 = c, 0 = -w + 2*l + 2. Solve w = -4*p + 6 + 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -808*q + 801*q - 42 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -29, 5, -53 in descending order.\nAnswer: 5, -1, -29, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 818186 in -0.5, 13, 0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**2 + 2*b**4 - 2*b + b**3 - b**3 + 0*b**3 as w*b**3 + r + f*b**2 + j*b + z*b**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.089 (b) -67.3 (c) -0.5 (d) 2\/29 (e) -0.3 (f) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o = -4*o + 65 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 541.8888 kilometers in meters?\nAnswer: 541888.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6195)\/1652)\/(1\/(-8))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 + 183*s + 218. Let m be p(62). What is the highest common divisor of m and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 13. Let s be (18\/4)\/(4\/(-8)). Let u be x(s). Let c be -1 - -3 - (0 + u). Let r(z) = -z**3 + z**2 + 1. Determine r(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268156 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**3 - 4*t**2 - 2*t + 2. Give c(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 0, -2*u - 11 = -5*s + 1. Solve 22 = -m + 6*m - y, 0 = 2*m - s*y - 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (-7 + 46 + -12 - 27).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1400\/250 + ((-120)\/(-75))\/((-2)\/10).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*2.184626.\nAnswer: 0.2184626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9388 and -2.2?\nAnswer: -2.06536","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9887 or -1?\nAnswer: -2\/9887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 145*i + 656. Suppose -6*t + 3*t = -246. Let h = 126 - t. What is the remainder when c(-70) is divided by h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-54) + -43 - -45.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16, 51, 102, 163, 228, 291, 346, 387?\n\"Answer: -w**3 + 14*w**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3763528 to the power of 1\/2, to the nearest integer?\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -11, 5, 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/45 - 109*c**4\/3 + 23762*c**3 - 7770174*c**2 - 77*c + 1. Determine n, given that p(n) = 0.\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 1 + 0 + 3)**2.\nAnswer: 88*sqrt(7) + 863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 + 6*d + 3. Let u be b(-2). Let w be (-3 - -6)\/(u\/(-28)). Suppose w + 141 = r. What are the prime factors of r?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 2*l**2 - l - 2. Let h be a(-2). Suppose -3*y - 5*z + 26 = h, 3*z - 2 = -y + 6*y. Solve -5*d = 5*x - 15, 3*x + y*d = 4*x - 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420\/(-63) - 1*-8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 218*j + 216*j - 429*j - 1 + 3*j**2 - 5*j**2 to the form s + m*j + l*j**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*x + 3 = -117*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 6*p - 1. Suppose -2*j - 15 = 3*j. What is the remainder when 23 is divided by m(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4438457440 a multiple of 8480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjff when four letters picked without replacement from {j: 3, f: 8}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6276.7 - 6895. Round j to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 457*p - 458.\nAnswer: (p - 1)*(p + 458)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + (sqrt(304) - ((sqrt(304) + -1)**2 + -2)) - (sqrt(304)*2*5 - sqrt(304)).\nAnswer: -303 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1134))\/(sqrt(14)\/(sqrt(4)\/sqrt(2))))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/168*(-174)\/(-29)*2\/90\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 4:56 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -292, -295, -302, -313, -328?\n\"Answer: -2*k**2 + 3*k - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21273.65 times -0.27?\nAnswer: -5743.8855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19938.637 rounded to the nearest ten?\nAnswer: 19940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**3 + 48 + 16*a**3 - 51 - 14*a**3 + 37*a to the form r + g*a**2 + y*a + q*a**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (100 + -90 - (10 + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-6)*(-60)\/(-40). Let u(k) be the third derivative of 0*k**3 + k**2 + 0 + 0*k + 1\/20*k**m - 1\/4*k**4. Factor u(w).\nAnswer: 3*w*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**4\/4 - y**3\/3 + y**2\/2 - y + 1. Let z be n(0). Is z at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v - 33. Let a be t(6). Suppose 4*b - 140 = -l - 2*l, a*b + 3*l = 108. Suppose 14 = -o + 5*i, b + 13 = 5*o - 2*i. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44192 divided by 8\nAnswer: 5524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/43215 and -25\/33.\nAnswer: 475365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12901611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4849428 + -1.485. Round q to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/((n*n*n**(7\/5)\/n)\/n))\/n))\/n)\/((n*n**(1\/26))\/n) assuming n is positive.\nAnswer: n**(177\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, 0.3, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 323*n**4\/12 + 443*n**3\/6 - 493*n**2. Differentiate h(w) with respect to w.\nAnswer: 646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 950 = 2597. Let a = -2532 - y. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2341*s - 35638. Determine k(-16).\nAnswer: 1818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5424054 is divided by 358?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32156331831 - 0.4.\nAnswer: 32156331830.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/4, -1.8, -1\/4 in decreasing order.\nAnswer: 2, 1\/4, -1\/4, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 64363, 128670, 192977, 257284, 321591, 385898?\n\"Answer: 64307*s + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13521126072+-3\nAnswer: 13521126069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -2897 + 881. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2202*l - 138436 = 871*l - 1281*l for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (6 - (13 - (-6 + 14)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 8 = 4*r - z, 2*z + 4 = 3*r. Suppose r*d + 4*d + 8 = 0. Let l(u) = -200000*u**3 + u**2 + u - 2. Let a be l(d). Round a to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 + -118. Suppose 2*a - 7 = -z, -n*z + 1 = -a - 3*z. Solve f = 2*b + 8, b = a*f + 3*f - 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -9. Suppose b = -4*p - 7 - 17. Let g be (p\/8)\/(12\/8). What is the second biggest value in g, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128*i**3*q**3 + 3*i*q**2 - i - 15*q**3 wrt i.\nAnswer: -768*i*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 30, -4\/7, -0.2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 11. Let k(h) = -7*h**2 - 6*h. Let f(y) = -4*y**2 - 3*y. Let n(w) = 5*f(w) - 3*k(w). What is n(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -997 + 1107. Calculate the remainder when k is divided by 59.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/2 + x + 112 = 0.\nAnswer: -14, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 598 and 184.\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aahaahaaaaha. What is prob of picking 3 a and 1 h?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 107563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -141150 divided by -47050?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**2. Suppose j + 6*j + 14 = 0. Let w be (8\/10)\/(j\/(-5)). Let o(a) = w*a - a - 10*a + 7*a. Determine o(d(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 3*j = -525. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -386 + 7721\/20. Let c(i) be the third derivative of -1\/6*i**3 - 1\/12*i**4 - j*i**6 + 0 - 1\/30*i**5 + 6*i**2 + 0*i. Give c(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -43*v**3\/6 + 3*v**2\/2 + 14*v. Let m be k(-5). What is the second derivative of -13*i**4 - 11*i - m*i**2 + 218*i**2 wrt i?\nAnswer: -156*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 43. Let u = 15 - d. Suppose -y + 2 = -u. Solve -5 = y*x - 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-270)\/120)\/(36\/192)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 8.13.\nAnswer: 3.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxvx when four letters picked without replacement from {r: 5, k: 3, v: 1, x: 2, u: 1}.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 166.375 + -0.375. Let k = f - 169. What is the closest to -2\/3 in 1\/7, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -301*a. Let f be k(-5). Let h be 2*(-2)\/2 + f. Suppose 3*w - u + h = 0, 4*u + 881 + 1107 = -4*w. Round w to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*t = 32 + 43 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - g + 23 = 0, -189*a - g = -184*a - 39. Let j(o) be the first derivative of -o**4\/4 + 7*o**3\/3 + 7*o**2\/2 - 10*o - 1. Determine j(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(72))\/sqrt(2) + sqrt(180)\/(sqrt(10)\/sqrt(2)) + sqrt(36))\/(sqrt(108)\/(sqrt(108)\/sqrt(12))*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**5*w + 546*u**4*w - 2*u*w + 5*u + 7*w wrt u?\nAnswer: -40*u**3*w + 6552*u**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, -0.5, 1\/2, -11?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/15195 - -157978\/379875. Find the common denominator of -52\/875 and k.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380873319 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: Solve 0 = 12*d - 20 - 16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = -17 - 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 325?\nAnswer: 2\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 563989674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30333 (base 4) in base 3?\nAnswer: -1010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-4) + 1)*536\/(-469). Let o(s) = -2 + s**2 - 4 + 2 + m. Let y(h) = -2*h - 165. Calculate y(o(p)).\nAnswer: -2*p**2 - 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1645 and 16518103?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/2, 5\/6, -1895, 10 in ascending order.\nAnswer: -1895, 5\/6, 3\/2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2736571 (base 8) in base 5?\nAnswer: -144110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 25. Suppose -5*g + 2*q + 55 = -2, -4*g + q + 48 = b. Which is greater: g or 11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/15)\/((-15)\/(-9)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 116, -2\/3, -13\/8, 108\/17?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) 2\/7 (c) 0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**2 - 18780*k + 16897140 = 0.\nAnswer: 1494, 2262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 103886287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-8))\/((-12)\/(-32)). Let f be 9\/(-189) + d\/14. Suppose -3*w + 4 = w. Is w greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 7 = -3*m - 2, 7 = 4*m - w. Suppose 0 = -4*q - 4, 0 = l - 3*q - m - 2. Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 0 + 0)*(q**2 + q**2 - 4*q**2) + 2*q**3 + 7*q**3 - q**3 + (0*q - 2*q**2 + 0*q)*(-2*q - q + 2*q) as t*q**2 + p*q + h*q**3 + d and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 - 4*n**2 + 4*n. Suppose 4*d + 39 = -9*d. Let l(b) be the first derivative of -b**4\/4 - b**3 + 3*b**2\/2 - 1. What is d*v(g) + 4*l(g)?\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 5*x - 4*v + 134, 10*v = 2*x + 38 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389389?\nAnswer: 7, 11, 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = l - 3*z, l + 6*z - 181 = 3*z. Suppose -5*t + 247 = -l. List the prime factors of t.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(13) + sqrt(13))*-5 + 1)**2.\nAnswer: -50*sqrt(13) + 8126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, z: 1}. What is prob of sequence zt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 37*l**4\/24 - 7*l**2\/2 - 17. Let c(f) be the second derivative of p(f). Let o(q) = 2*q**2. Give c(o(r)).\nAnswer: 74*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4 + 4*z - 21*z + 5*z + 13*z. Let h(o) = 2*o + 3. Let v be h(-3). Calculate s(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 2*z**2 + 3*z**2 - 5*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 16. Suppose 5*r - 2666 = 13*k - 12*k, -r + 3*k + 522 = 0. Suppose h - 5 = f*h, 0 = 3*d + 3*h - r. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-16))\/(1\/4)*-1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 - 5*l**3 - l**3)*(-3 - 2 + 4 - l).\nAnswer: 2*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z - z. Suppose -556*f + 559*f + 492 = 0. Let q = 165 + f. Sort q, -3, z, -4 in decreasing order.\nAnswer: z, q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7101793501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 10:59 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.69418 minutes in seconds?\nAnswer: 2321.6508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3*(-54 - 0). Let a = 68 + c. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 8608 = -244*t - 1615 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**2*i*j**2 - 462*b**2*j**3 - b*i + 5*i*j + 13*i - 2*j**3 wrt b.\nAnswer: 12*i*j**2 - 924*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1866672533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2 - (29 + -26).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apoaaowwapoaaoowzo. What is prob of sequence opzp?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**2 - 1440*y + 129600 = 0.\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16834590 and 144.\nAnswer: 134676720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -59, -80, -97?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50291129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*p - 513*b**3 + 4*b*p - 21*b - 2*p wrt b.\nAnswer: 12*b*p - 3078*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 213120 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 34*u**2 - 54*u - 306. Determine l(32).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1661788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 55, 4*o + 19*y - 17*y + 7 = 3*o - 17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 311016 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4 - 334682*y**3 + 1171430*y**2 - 502044*y = 0. Calculate y.\nAnswer: -83674, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69*(-212)\/21942*9\/231?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 993*a**4 - a**2 - a - 2 - a**3 + 2*a - 1005*a**4 to c*a**4 + u*a + b*a**3 + h + d*a**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -152541, -152941, -153541, -154287, -155125, -156001, -156861, -157651?\n\"Answer: 9*u**3 - 154*u**2 - u - 152395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/12)\/((-1)\/6). Suppose 2*c = -0 + 4. What is the second derivative of k + 2*k**2 - 2*k**c + k + 3*k**h wrt k?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u - 4007 = -4027 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -0*m + 5*m. Calculate the common denominator of ((-594)\/48)\/(m\/8) and 49\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**3\/3 + 5*u**2 + 6*u - 22. Let q(n) = 2*n**2 + n + 11. Let t be q(0). Calculate s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -1\/4, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dydyddddddddd. What is prob of sequence ddy?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -947\/9 + 105. Let y = 1525 + -1524.7. Which is the second biggest value? (a) 0.4 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 512137036 to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14172 + 26*l**4 - 7088 - 7*l**5 - 3245*l - l**2 - 7084 wrt l?\nAnswer: -140*l**3 + 312*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = -2. Suppose 5*l - 10 = 0, h - 443 = -0*h - p*l. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = 6. Suppose 6*j = -l*j + 330. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06482625 and 5.\nAnswer: -0.32413125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-180873)\/(-66))\/(-87))\/(6\/8*4)\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-18)\/n)\/n)\/((n\/((n**(-1\/7)\/n)\/n))\/n))\/(n**(3\/8)*(n**(1\/7)*n*n)\/n*n) assuming n is positive.\nAnswer: n**(-1381\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25202 - 25199.7686. What is q rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 818388.62 to the nearest 1000.\nAnswer: 818000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l + 31229 = 5444. What are the prime factors of 2\/5 - (-4 - l\/(-15))?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18742107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -54. Let b = 74 - g. Does 33 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 128549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s**3 - s**2 - 5*s**2 + 21*s**3 + 0*s**2.\nAnswer: -2*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 41*s**3 + s**2 - 2*s + 1. Let d be t(1). Find the common denominator of 51\/4 and (-6)\/84*2*d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 2:29 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u - d - 47 = 0, -5*d + 205 = 5*u. Is 37 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4933*b**2 + 1439*b. Let a(d) = -d. Give a(u(z)).\nAnswer: -4933*z**2 - 1439*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -11. Let i = 0.0374 - -0.8226. Let s = 0.86 - i. Which is the nearest to -2\/3? (a) s (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366817.\nAnswer: 11, 33347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7325 and 1193.\nAnswer: 8738725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*x + 14, -7*x - r = -4*x + 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 9398000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*m - 201 + 188*m + 66*m + 23*m wrt m?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 + 5*r + (4*r + 0*r - 2*r)*(1 - 4 + 1) - 3*r + 3*r - r + 3*r - 3*r + 2*r - 7*r - 4 + 4 to a*r + g and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -234.\nAnswer: -1170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052619 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccv when four letters picked without replacement from {v: 2, c: 7}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(2\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-3)\/15) + (-63)\/(-14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10010110000001111000010?\nAnswer: 10010110000001111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 48050*p + 26 = -48054*p, 5*k = 8*p + 94 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 2:24 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.173617 years?\nAnswer: 110.083404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 0 + 3 - 7*f + 3*f. Let l(j) = -j**2 + 12*j - 9. Let w be l(11). Determine z(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 - 1.1. Which is the nearest to -1? (a) n (b) -0.1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37727202.2 to the nearest one hundred thousand.\nAnswer: -37700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*6*-3)**2 - (0 + sqrt(18)\/sqrt(6)*-3).\nAnswer: 3*sqrt(3) + 78732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 6*r**2 + 16*r + 18. Is w(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 17 = -5*t, 0 = -4*t + 4*n + 3887 - 3907 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67840475819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 78, 4, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -96\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -511, -1018, -1537, -2074, -2635, -3226, -3853, -4522?\n\"Answer: -k**3 - 500*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 6:14 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuhhhhhuggugghuh. Give prob of sequence uuh.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/38*(-90)\/12*(-136)\/(-34).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(350)\/(-6*(sqrt(40)\/sqrt(4) + sqrt(10))))\/(-3*(-1*sqrt(5)*-5 + sqrt(5))).\nAnswer: 5*sqrt(7)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y**5 + 420*y**4 + 2451*y**3 - 5306*y**2 + 2964*y - 504 = 0 for y.\nAnswer: -6, 2\/5, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84978 by 4721.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7636?\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u + 25*u - 693. Suppose u = -9*r + 16*r. Solve 2*w - r*w = 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + (sqrt(448) - (sqrt(448) - sqrt(448)*-6)))**2.\nAnswer: 14812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*v - 156?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.659 + -11.659. Let n = -1.47 - 0.43. Let r = -2 - n. Which is the second biggest value? (a) z (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 4, 0.1, -261, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s. Let h be (-4 + 3)*(3 + -3). Let l(y) = y**2 + 0*y**2 + h*y**2. Calculate v(l(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/9*-6 + 6. Suppose 0 = x*f - 3 - 37. Calculate the least common multiple of 16 and ((-2)\/(-2))\/(2\/f).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h. Let g(c) = -c**2 - 7*c + 3. Let j be g(-7). Let a(q) be the first derivative of 0*q + 2\/3*q**j + 2 + 0*q**2. Calculate a(z(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7996 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1158 - 1181) + (2 - 2 - -13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1568, -4326, -8952, -15470, -23904, -34278?\nAnswer: -46616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 8*q + 1. Let n be t(7). Suppose -y + n = 6. Solve 5*r - r - 3*d = 27, y*r + 5*d = -19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 11*f**2 - f + 14. Let w be k(11). Suppose -r = -w*i + 2*i + 171, -2*r = 2*i - 354. Suppose a - 3*p = -p + 37, p - i = -5*a. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + b - 1, -59810*b = -2*p - 59847*b + 37 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 28*i - 65. What is a(-10)?\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -755277123 + 11.6.\nAnswer: -755277111.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = r, 3*r + 19*k - 16*k - 21 = 0. Put 2, r, -111, 0 in increasing order.\nAnswer: -111, 0, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 952553099 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3142894?\nAnswer: 2, 839, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, 4, -1, 631 in descending order.\nAnswer: 631, 15, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 13. What is the first derivative of 4*s - 9 + z + 5*s wrt s?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (4 + (-4 + -1 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 3*a - 2. Let c be u(-1). Let z be c\/((8 + -5)\/(-75)). Solve -i + z = -5*r, 2*r + 10 + 0 = 3*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 10*b**2 - b - 4. Let f be s(2). Let y = f - 38. Let r be (5 + y)\/((4\/(-10))\/(-2)). Solve -5 = m, -p - r*m = 7 + 22 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5761 - -5831. What is the remainder when 390 is divided by k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38, 58, 104, 188, 322?\n\"Answer: 2*a**3 + a**2 + 3*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h + 30. Let k(t) = -t**3 - 22*t**2 - 32*t - 22. Let g be k(h). Let q = -162 - g. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**3 - 7*c**2 - 2. Let s(j) = -2*j**3 + 6*j**2 + 2. Let f(g) = -3*q(g) - 4*s(g). Calculate f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -13. Let b(o) = -o**2 - 18*o - 29. Let m be b(-16). Differentiate -14 - 1 + j*a**m - 6*a**3 - 2 with respect to a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (5 - ((-1 - 1) + 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(324) + sqrt(324) + -2*sqrt(324))\/(sqrt(60)\/sqrt(80) - sqrt(12)) - (-4 + -3*sqrt(147) + 4)))**2.\nAnswer: 210*sqrt(3) + 1348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/119*-7)\/(-4*696\/64)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 18, 2\/73, 2.2, 1, 0.5, 6 in descending order.\nAnswer: 18, 6, 5, 2.2, 1, 0.5, 2\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -464*t**2 + 13. Let y(h) = 155*h**2 - 5. Calculate -4*q(n) - 11*y(n).\nAnswer: 151*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -628*f**4 - 18*f**3 + f - 1. Let c(t) = -1255*t**4 - 39*t**3 + t - 3. Let r(o) = 13*a(o) - 6*c(o). What is the second derivative of r(h) wrt h?\nAnswer: -7608*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/(-4))\/(0 + -3). Let u(a) = -32*a + 10*a - a**d - a**3 + 22*a + 12. Let n be (2 + -2)\/(2\/2). Determine u(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + sqrt(80)*-4 + (sqrt(40)\/(-5*sqrt(72)))**2).\nAnswer: 134\/9 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1245376.9104+-2774\nAnswer: 1242602.9104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/33 and -77\/100950.\nAnswer: 1110450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + 11. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10, -38, -122, -260, -470, -770, -1178?\n\"Answer: -3*h**3 - 27*h + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16311\/13 or -1255?\nAnswer: -1255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -358*u**2 + 25*u + 158. Let q(m) = 359*m**2 - 20*m - 159. Let c(z) = 4*h(z) + 5*q(z). Find the first derivative of c(n) wrt n.\nAnswer: 726*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2\/7, 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 590944243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 + 11)\/(5\/(-10)). Which is the closest to z? (a) -4 (b) 4\/7 (c) 2\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*u - 6553 - 3090 - 16698 = 3848 for u.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/622048 and 69\/569618240.\nAnswer: 3987327680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614050 is divided by 666?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Let p be (z\/(-2))\/(-7 + 5). Let k be (3 + p)\/((-1)\/(-1)). Solve -7 - 5 = -k*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253141481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, -3, -6, -0.1, 5 in increasing order.\nAnswer: -6, -3, -0.1, 0.22, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -321746218*i + 337234041 wrt i?\nAnswer: -321746218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -50*o + 2. Let i(k) = -26*k. What is -5*i(a) + 2*t(a)?\nAnswer: 30*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (34152\/(-19922))\/(4\/(-35))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.17427mm in centimeters?\nAnswer: 9.317427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 205*b + 42840. What is c(-209)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96261287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1032*g**3 - g**2 - 13*g - 17. Is y(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y + 8*y - 873 - 10*y + 873.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508632514288*u + 6 - 508632514314*u - 6.\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16335\/2178*((-10)\/15 - (-214)\/15).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 37, -5, 2, -1 in descending order.\nAnswer: 37, 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7500 and 612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + -3*(sqrt(128) + -2)))**2.\nAnswer: -1536*sqrt(2) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3937\/630 + 0 + 1. Let b = m - -37\/45. Find the common denominator of b and ((-1)\/3)\/(10\/(-213)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -0.2 (c) -7590 (d) -3\/5 (e) 5 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 242660826 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.65 + -0.95. What is the nearest to 1 in -0.1, -1\/2, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8111800, -8111797, -8111792, -8111785?\n\"Answer: c**2 - 8111801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s**2 - s + 18. Let f be k(0). Solve -16*v + 14*v = d - 9, 4*d = v + f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-15)\/s*s**5)\/((s**(-13)\/s)\/s**(-9)) assuming s is positive.\nAnswer: s**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 242606.1 years?\nAnswer: 2911273.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + (sqrt(16)\/(sqrt(8)\/sqrt(4)) - (sqrt(8) + (sqrt(8) - (sqrt(1152) + 1*sqrt(1152)))))\/(sqrt(48)\/((sqrt(36)*1)\/sqrt(3))) + -4)**2.\nAnswer: -92*sqrt(2) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 150\/(-4)*86\/(-129)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 16*n**3 + 29*n**3 + 30 + 48*n**3.\nAnswer: 61*n**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, l: 1, d: 7, c: 3}. Give prob of picking 1 c, 1 d, and 2 e.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28818, 57627, 86436, 115245?\nAnswer: 144054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31512351157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 4:27 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4703 - 4990 + 13*n**2 - 16*n**2 to f*n**2 + y + u*n and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 14 - 3*s**2 - 3*s + 2\/3*s**3. Let m(r) = -2*r**2 + 5*r + 2. Determine 4*m(p) + 3*q(p).\nAnswer: -2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2022 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6359 divide 701937154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwowwwwwwwww.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -867.1 + 867. What is the third biggest value in q, 68, 4\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -8238, -0.1.\nAnswer: -8238, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8\/25 of a meter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/156644 and -65\/532.\nAnswer: 20833652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Suppose -16 = 3*h - 7*h, -2*y = -5*h + 20. Let w = 7 - y. Let v(l) = -10*l + w*l + 5*l + 15*l. What is v(z(o))?\nAnswer: 17*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147.1 + 162. Let t = 14.7 - f. Which is the closest to -1\/4? (a) 2\/7 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11949 is divided by 53?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 5 - 5)*(5*t - 4*t - 2*t) + 6611 - 220*t**2 - 6611 - t**2 + 3*t**2 - 4*t**2.\nAnswer: -220*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 t when four letters picked without replacement from {k: 1, a: 1, t: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 15) to base 8.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 + 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -13*w**2 - 9*w + 16. Let q(s) = 15*s**2 + 10*s - 17. Determine -6*q(o) - 7*x(o).\nAnswer: o**2 + 3*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * -3370622.\nAnswer: -4718870.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, w: 1, u: 1, q: 9, j: 3, i: 2}. What is prob of sequence xi?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -19, -26, -35, -46?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*h**2 + 207*h**2 - 200*h**2 - 218*h**2 + 447*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 32*q - 132. Give u(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7096, 13471, 19848, 26227, 32608?\n\"Answer: f**2 + 6372*f + 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662*l + 1153*l - 1358*l + 64437 = 0 for l.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*b**2 - 24*b**2 + 8*b**5 - 23*b**2 - 24*b**2 wrt b.\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-22)\/10 - -2)\/((-858)\/4). Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 14 = 24*a - 23*a, -2*s + 5*a = -2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31585787?\nAnswer: 809, 39043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 141284853 and 11034?\nAnswer: 5517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 + 131. Let j(n) = -n**3 + 7*n**2 + 17*n + 9. Let s be j(q). Suppose s = 4*g - 0*x - 5*x + 7, g - 5*x + 13 = 0. Solve g*t - 14 + 4 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 814 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8cf2 + f9?\nAnswer: 8deb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/((-33660)\/(-7425))?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-20)*564\/(-3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 136 in 2, -1, -1\/25, 2\/17, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -1, -182 in increasing order.\nAnswer: -182, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1138 and 69987.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*n = 26, 3*n - 8 + 1 = q. Let l(b) = -106879*b**3 + 6*b**2 - 53*b - 10. Let m be l(q). Round m to the nearest one hundred thousand.\nAnswer: -13400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 4*t. Let c be u(-4). Suppose 4 = 4*l, c*l - 5 = v - l. Is (v + 0)\/((-5)\/60) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 552.378 weeks?\nAnswer: 334078214400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0*c**3 - 10 - 2*c**3 - c**2 + 3*c**2 as w*c + r*c**3 + v*c**2 + u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -436 - -441. Solve 0 = -11*o + b - 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101155500 (base 6) in base 8?\nAnswer: 6511734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2070617*t + 801840*t - 193350*t + 614242*t.\nAnswer: 3293349*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**4 + h**4 + 2*h**4)*(-81 + 14*h + 81) + (-4*h + 10 - h**2 - 10)*(-3 + 3 - h**3).\nAnswer: -27*h**5 + 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 446*h.\nAnswer: h*(h - 446)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 84\/50*(-620)\/(-186). Factor 4\/5 - 8\/5*j - c*j**2 - 16\/5*j**3.\nAnswer: -4*(j + 1)**2*(4*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -333 - -333. Which is the smallest value? (a) -3 (b) -1 (c) -17 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9486 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*l + g, -5*l - 24*g + 25 = -22*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 30*u - 32*u. Let y(w) = 6*w + 67. Let g be y(u). Which is the nearest to g? (a) 0.5 (b) 0.7 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3344232 less than or equal to -3344237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1114581 = 3*a, 18*a - 371527 = 17*a - y. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 10773 (c) 3\/5 (d) -1 (e) 3 (f) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 4. Let p = 16 - 3. Suppose 2*z + 0*w = -5*w - 5, 2*z + p = 3*w. Let s be g(z). What is the highest common divisor of 99 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -59, -121, -183, -245?\n\"Answer: -62*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/3)\/((-4)\/(-16)). Let d = 9 - 3. Find the second derivative of -j**3 + 6 - g*j - d wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*l + 264. Let s = l + 36. Solve -s + 5 = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11520 divided by -320?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -132*x**2 + 55*x + 110. Let y(w) = w**2 - w - 2. Calculate 2*m(v) + 110*y(v).\nAnswer: -154*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 13022*h + 1. Let a(l) = 11*l - 115. Determine a(s(c)).\nAnswer: 143242*c - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o**3 + 10*o**2 - 10*o. Let b(y) = y**3 + y**2 - y. Suppose -2*n + 10 = 0, -5*u - 40 = 5*n - 15. Determine u*b(x) + m(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 0 (b) 322 (c) 3 (d) -1\/2 (e) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 871?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 12:35 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 554640 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67690052 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -344443242 (base 5) to base 11\nAnswer: -977883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21270*b**3*q**2 - 2*b**2*q + 18*b*q**2 + 606*q**2 wrt b?\nAnswer: -127620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -2\/3, -48\/29?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 81 = 5*q, 4*r - 55 = 3*q - 0*q. Suppose -u - 72 = -5*u. Let z(d) = -10*d + 8 - u + 9*d. Determine z(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -93*c + 8. Let w be a(-3). Let l = 2110 - w. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -131 - 509177\/(-4252).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psc when three letters picked without replacement from {c: 3, y: 3, t: 3, p: 1, s: 10}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7705.673ml to litres.\nAnswer: 7.705673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/84*(-176)\/(-660).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1695310475 and 6275.\nAnswer: 6275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1\/4 (c) 0.5 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/5 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 28*l - 20*l. What is the remainder when 142 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 20*u**2 - 24*u - 69. What is the thousands digit of r(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 297, -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is c6c2 (base 15) in base 2?\nAnswer: 1010010000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*c*r*w**2 - 2*c - 2*r*w + 89*r - w**2 wrt w?\nAnswer: -22*c*r*w - 2*r - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21287*p - 10096 + 18637*p - 39922*p + 10096.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170)*-2 - sqrt(170))*-6)\/sqrt(10)*-1.\nAnswer: 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1128 divided by -376.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z - 4 = -35*z. Let k(f) = -f + 0 - f - z - 2. Let n(v) = v + 3. Determine -4*k(i) - 5*n(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2 + (sqrt(68)*-2 - sqrt(68)) - sqrt(68)))**2.\nAnswer: -80*sqrt(17) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-21 - -11) + 1. Put 11, a, -3, 1 in decreasing order.\nAnswer: 11, 1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1271 = -2*j - 5*d, -5*j + j - 5*d = -2537. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 166*g**2 + 6*g - 7. Suppose 10*q - 11*q = z - 9, -2*q = 3*z - 30. Calculate the remainder when j(1) is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {x: 2, y: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*((3*c - 7*c + 3*c)*(0 + 0 + 8) + 2 - 2*c - 2 + (c + 4*c - 4*c)*(0 + 2 - 3) + 5*c + 2*c - 5*c + 2*c - c + c).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3137.59 to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -19307.\nAnswer: -19307, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**3\/3 + 5*n**2 - 23*n - 16. Let g be f(5). Calculate the highest common divisor of g and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -4, 2\/3, 35.29?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 255422778 divided by 19647906\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1538 + -10c?\nAnswer: 142a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 131, 23, -3, 4 in descending order.\nAnswer: 131, 23, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2858, 11392, 25602, 45488?\nAnswer: 71050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9886193609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxfvvnvfvvwvvvn. Give prob of sequence xqf.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-5 + 1) - -25) + -11 - 28.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/924*3 + 4\/14.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.29, -3, 1.7, -2, -5\/2 in descending order.\nAnswer: 1.7, -0.29, -3\/5, -2, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Let h(f) = -f - 2*f**3 + 2*f + c - 6*f**2 - 2*f. What are the prime factors of h(-4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, r: 4, g: 2, j: 2, w: 2}. Give prob of sequence rgm.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 15*x**4 - 244*x**3 + 165*x**2 + 390*x - 17. Let n(t) = 5*t**4 - 82*t**3 + 55*t**2 + 130*t - 6. Let l(y) = 6*f(y) - 17*n(y). Factor l(g).\nAnswer: 5*g*(g - 13)*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 9 - 5 = -h, m = -3*h - 6. Let y(l) = -2*l - 3. Let r be y(m). Is r\/(-1) + 30 + -5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (56\/12)\/(10\/(-105)). Let h = -42 - f. Solve h - 1 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19673 + 5061 = 279*s + 283*s for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 20, 24, 32?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -207 - -216. Solve -3*m = -0*m - j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 12*t + 11*t = -104 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 2)*(-2)\/(-4). Let w(l) be the first derivative of -l**2\/2 + 5*l - 4. List the prime factors of w(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 10. Suppose h = i + 4*i. Suppose -l + i*l = -203. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**5\/300 + 5*d**4\/24 - 23*d**3\/15 + 729*d**2. Factor v(y).\nAnswer: -(y - 23)*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2 - 62*p - 1. Let k be l(-12). Solve -4*t - t = -4*r + 32, 0 = r - 5*t - k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519202823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -4*v**2 - 125 - 96*v + v**4 + 20\/3*v**3. Factor x(o).\nAnswer: 4*(o - 2)*(o + 3)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 - 79. Suppose 0 = 2*u - 5*y - 28 + 3, 4*u - 3*y = 57. Let s be (u\/(-35))\/(2\/2). Which is the biggest value? (a) 5 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352 (base 9) to base 11\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2345 = -s, -12*s + 11683 = 5*g - 11*s. Do g and 7010\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (-4 + 6)\/((-2)\/(-15))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 620, 962, 1310, 1664, 2024?\nAnswer: 2390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 3*w - 4*w)*(1 - 3 + 4)*(1 - 1 - 2)*(7 - 23 - 13).\nAnswer: -812*w - 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -51*i**3 + 3*i**2 - 11*i - 5. Let m(n) = -34*n**3 + 2*n**2 - 7*n - 3. Let j(o) = -8*m(o) + 5*x(o). Suppose 0 = -0*b - 3*b + 6. Is j(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245 - 118 - 608*m - 127.\nAnswer: -608*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -0.04548275?\nAnswer: -4.04548275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1 + 2 + 18 + 15 + (-3 + 2 + 0)*(2 + 2 - 2) - 2 + 4 - 1)*(-1 + 2 + 0)*(0*g - 6*g + 4*g)*(1 - 4 - 1) as b + w*g and give w.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.61925ml in litres?\nAnswer: 0.00561925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6335 + -13?\nAnswer: 6322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -176?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/11, 57979, -1 in decreasing order.\nAnswer: 57979, 4, -1\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(1\/2)*s))**(-2\/3)\/(s*s\/(s\/(s\/s**(-1))))**(-18) assuming s is positive.\nAnswer: s**(163\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {e: 1, o: 1, z: 1, f: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903790461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -31, -1\/3, 913, 0.5 in decreasing order.\nAnswer: 913, 2, 0.5, -1\/3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.004 - 0.054. Is 5\/7 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1374*(-6)\/432 + (-1)\/(-6) and -47\/276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**4 + 16*t**3 - 8*t + 5*t**4 + 32*t**2 - 4*t**4. Let u(y) = -y**4 + 11*y**3 + 21*y**2 - 5*y. Let f(s) = -5*l(s) + 8*u(s). What is d in f(d) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**3)\/k*k*k)**46\/(k**(-10)\/k*k*k*k**16))**(28\/5) assuming k is positive.\nAnswer: k**(-1484\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1002*k - 36. Let t be h(14). Let s = t - 4813253\/344. What is the common denominator of s and -125\/18?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -22 + -7 + 9 - ((-66 - -3) + 3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14644 divided by -14\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 30, -2, 0, -173, 4 in descending order.\nAnswer: 30, 5, 4, 0, -2, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*(sqrt(3900) - (sqrt(3900) - (3*(sqrt(3900) - (-1*sqrt(3900) + sqrt(3900) + sqrt(3900))) + sqrt(3900)))))\/(-2*sqrt(12) - sqrt(27)*-1))**2.\nAnswer: 40*sqrt(13) + 5201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810484 greater than or equal to -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.349287m to kilometers.\nAnswer: 0.008349287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((52\/(-364))\/(4\/7))\/(55\/120)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9728 and 8.\nAnswer: 9728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9803901?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.32963kg in micrograms?\nAnswer: 51329630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + 13*q + 2 + 2 - 2. Does 16 divide r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 50274, 50465, 50656, 50847, 51038, 51229?\n\"Answer: 191*r + 50083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2515, -3342, -4171, -5002, -5835?\nAnswer: -6670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 + 32 + 17*l**3 + 6*l + 3*l - 12*l**3 - 8*l in the form k*l**3 + t + i*l**2 + v*l and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1599983, 1599984, 1599987, 1599992, 1599999, 1600008?\nAnswer: 1600019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 47. Does 26 divide -1 + (w + 1 - -28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2152?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3160386*p**2 + 3160386*p**2 - p**3 + 4 + p. Let t(w) = 2*w - 3 - 2*w - w + w**3. Determine -2*g(m) - 3*t(m).\nAnswer: -m**3 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1090 + -1759. Let h = d - -655. Let w(s) = s - 5. Let v be w(4). Is h < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 100*l**5 + 5880*l**4 + 10136*l**3 - 7200*l**2 - 7452*l + 4104 = 0.\nAnswer: -57, -2, -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -302.92 and -1.1.\nAnswer: 333.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*-85378.\nAnswer: 110991.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253 (base 7) to base 15.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pds when three letters picked without replacement from sdwddpddw?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 36*h + 38*h = -16, -5*r + 4*h = -30 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -62, -80, -98, -116, -134?\n\"Answer: -18*d - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**7\/70 + 13*x**6\/40 + x**5\/30 + 205*x**3\/6 - 2*x**2 - 48*x. Find the third derivative of u(i) wrt i.\nAnswer: 72*i + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -15. Is 9 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/770 and -169\/270.\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 - 2*a. Suppose 3 = 5*x - 4*w, -2*x - 7 = 5*w - 28. Let z(u) = 3*u + 4*u**2 - 1 + 1. Suppose 0*t - 4 = -2*t. Give t*z(c) + x*o(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11*q. Let w be f(-1). Let m(l) = 3*l + 40. Let v be m(-14). Sort v, -0.1, w in increasing order.\nAnswer: w, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**2 + 5947. Let y(c) = 2392*c. What is y(b(f))?\nAnswer: -11960*f**2 + 14225224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.078 + -29.778. Let j = z + 35. Let l = j - 5. Which is the smallest value? (a) 3 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 = -6*y. Suppose -b - 5*u + 9 = 0, -3*b + 2*u = u - 11. Let z be -30*(-1 - b\/(-12)). Solve 4*t = r - z, y*r = r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 7363 = 931. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*k - 18. Suppose j = -2*y - 5, 0*j - 5*y = 3*j + 12. Suppose 29 = -5*c + 4. What is the closest to j in c, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4270 + 5110. What is the greatest common divisor of 195 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 = 0, 0 = 3*j + 5*i - 82 - 39. What is the greatest common divisor of 231 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1323110 (base 4) to base 15\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**4 - 3*l**4 - 4*l**4 + (l**3 - 2*l + 2*l)*(-1 + 1 + 2*l) in the form c*l**4 + u*l + o*l**3 + a*l**2 + b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20\/15*-3 + 14*11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/7 - 200*y**3\/7 - 778*y**2\/7 - 964*y\/7 - 384\/7 = 0 for y.\nAnswer: -96, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 6\/7 (b) -1\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (20*(-18)\/(-108))\/(6182\/843)\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Suppose -j = -2*j + n. Suppose j*k - 18 = -0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4*a = -9*a - 27, 8 = -3*b - 32*a + 8*a + 23*a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10*1\/2*12?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w + w**2)*(-25*w + 0*w - 19*w).\nAnswer: -44*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5\/4 - 59*d**4\/4 - 461*d**3\/2 - 864*d**2 - 648*d = 0. What is d?\nAnswer: -36, -18, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 4*f - 2, 3*c + 0*f = -f - 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -404\nAnswer: 4.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10454 - 10454.2. Which is the third biggest value? (a) -22\/5 (b) 1 (c) m (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d = 48 - 110. Let t(z) = z**3 - 4*z**2 - 6*z + 6. Let q be t(5). Let p(l) = -l - q + 6*l**3 - l**2 + 0*l + 2*l**2. Give p(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 12*s**2 + 126*s - 47. What is k(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, n: 2, j: 1, q: 1, d: 2, b: 3}. Give prob of sequence dubq.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1144 + 1269. What is the greatest common factor of 175 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 7 = -w - 13, 0 = 3*r for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 5049000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*f**3*t - 3519*f**2*t**2 - f**2 - 3*f*t**2 + 3*f*t - 232*f - t**2 wrt f.\nAnswer: -114*f*t - 7038*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6 - -2*(-3 + 2). Let u = 4.1 - -0.9. Let k = u + -5.1. What is the nearest to -4 in k, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1470) - (sqrt(1470) + sqrt(1470) + -2*sqrt(1470)) - sqrt(1470)) + sqrt(1470))*-5)\/((sqrt(80) + 3*(sqrt(80)*2 - sqrt(80)) + sqrt(80))\/sqrt(8)).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvez when four letters picked without replacement from ezvzewzzvzpezzzpzvz?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28708, -58462, -88216, -117970, -147724?\n\"Answer: -29754*m + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 51, 86, 127?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*g**4 + 87713*g**3 + 12*g**2 + 5882*g + 7377 wrt g.\nAnswer: 120*g**2 + 526278*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6303380017?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 4, -1042 in increasing order.\nAnswer: -1042, -119, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/8)\/(5\/(-10)). Which is smaller: s or -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -658, -1298, -1936, -2572?\nAnswer: -3206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in 0.4, -0.3, 1\/2, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11835 is divided by 11761?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 5:07 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2471880082.\nAnswer: 2, 7, 176562863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 14612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 9\/2*120\/(-18). Let n(a) = -2*a**2 - 4*a - 3. Let q(j) = 9*j**2 + 17*j + 13. Calculate i*n(p) - 6*q(p).\nAnswer: -2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 - 180 + 55)*(-5 - 1 + 4)*(2*n**4 - 4*n**4 + n**4) - n**4 + 3*n**4 + n**4 in the form m*n**3 + t*n**4 + p*n**2 + k + g*n and give t.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249, -1614, -4893, -10908, -20481, -34434, -53589, -78768?\nAnswer: -110793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x*x\/x**(-1\/6))))**(21\/5)\/((x\/x**(-11))\/x**(1\/9)) assuming x is positive.\nAnswer: x**(127\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20202201 (base 3) to base 5.\nAnswer: -124213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12501.825 and -2.\nAnswer: 12499.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1191873*d. Let a(u) = 3*u**2. What is l(a(c))?\nAnswer: 3575619*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a = -28. Let n be (7\/a)\/((-2)\/(-16)). Solve -8 = -3*p + n*z, -2*p - 3*z = z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a factor of 408276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 35 = -2*x + r, 0 = x + 2*r - 17. Let b(w) = -17*w - w**2 - w**3 + 22*w + 0*w + 57. Let n be b(0). Calculate the greatest common factor of n and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1355, -12, -151, -4 in increasing order.\nAnswer: -1355, -151, -12, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -57*l + 108. What is a(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5889213.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19533495259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + o**2 - 9 - 5 to d + y*o**2 + z*o and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.285339574 to 3 decimal places.\nAnswer: -5.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/((-2648)\/(-17212) - (851\/(-975) + 1))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 2*a - 5 + 5 - a**2 + 18*a**2 - 10*a**2.\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 761*j**6 + j**5 + 2*j**4 + 1618*j**2 + 2 wrt j?\nAnswer: 91320*j**3 + 60*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.8 (b) 1\/3 (c) 0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 982*h**3 - 132865 + 132865 + 867*h**2 + 4*h wrt h?\nAnswer: 5892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from ssgggssksgssgg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 43. Factor a**2 + 14*a**2 + 5*a**j - 17*a + 27*a.\nAnswer: 5*a*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65555\/13 or 5042?\nAnswer: 5042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2129.809115 rounded to the nearest 10?\nAnswer: -2130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22386, -44773, -67160, -89547, -111934, -134321?\n\"Answer: -22387*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 3382?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 780 and 6980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -25415 at most as big as -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b41 (base 12) to base 8\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r - 6. Factor 3*d**3 - 5*d**3 - d**r + d**3.\nAnswer: -d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*o**4*q + 5792*o**3 - 11*o**2 + q - 1166323 with respect to o.\nAnswer: -68*o**3*q + 17376*o**2 - 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1002, -2098, -3190, -4278, -5362?\nAnswer: -6442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 5*y + 3*y - 7*y**3 in the form h*y + i*y**3 + l*y**2 + v and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0. Suppose -2*g + 3 = -g. Which is the nearest to -8\/5? (a) -3\/4 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -3084c892?\nAnswer: -3084c894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3822, 34930, 119374, 283824, 554950, 959422, 1523910?\n\"Answer: 4445*x**3 - 2*x**2 - x - 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 36. Suppose -46 = -4*g + 2*g. Calculate the remainder when g is divided by 6\/(-30) + 61\/a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-7) + 3*8. Let d be (6\/4)\/((-2)\/12). Let n = p - d. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/2*(2 + (-6)\/7). Let t be (-4)\/(-14) + (-4)\/14. Let v = 5 - t. Solve -f + v = q*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4364*f*s + 2445*f - 16897469*s wrt f.\nAnswer: -4364*s + 2445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -1671.\nAnswer: -1686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 4*j**2 - j + 2. Let t be q(-4). Calculate the common denominator of (-3)\/(-9) - 161\/t and 28\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 38*t. Let b = -35 - -39. Suppose 0 = 6*x - b*x - 4. Let l(y) = -13*y**2 - 11*y**2 + 23*y**x. Calculate n(l(q)).\nAnswer: -38*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100011111 + 101?\nAnswer: 1111100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/(-4) - (-4)\/16. Let u(p) = -4*p**3 + 5*p**2 - 13. Let g(b) = -5*b**3 + 6*b**2 - 14. Let v(z) = k*u(z) + 5*g(z). What is v(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115.13 - -114.73. What is the smallest value in 0.08, 0.5, -2\/15, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 0*q - 2*q - 1076, 0 = 5*i - q - 1073. List the prime factors of i\/3*(-546)\/(-52).\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 0.02 (b) 5 (c) -4\/5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*q = 30, 6*x - 8*x + 3*q = -35. Suppose -x*g + 10570 = 2650. Does 33 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23515, -5, 2, -24 in descending order.\nAnswer: 2, -5, -24, -23515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*f - 12, 3 = -f + 5*t - 4. Which is the biggest value? (a) 0.5 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**2 + 54*c + 778 wrt c.\nAnswer: -8*c + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 smaller than 849\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61716 divided by -12.\nAnswer: 5143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1591487718 to 1 decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -515 + 2?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1802156 to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 1 + 24\/6. Suppose 3 = v - c*v. Calculate the remainder when 20 is divided by (v\/3)\/(1\/(-21)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42071\/2 - 21035. Factor -5\/2*c**3 + o*c**5 + 0*c - 3*c**2 + 0 + c**4.\nAnswer: c**2*(c - 2)*(c + 1)*(c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*q - 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -861, 9, -7.\nAnswer: -861, -7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215361 is divided by 204?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.2 - 8.2. Sort -1\/8, 0.3, -1, l.\nAnswer: l, -1, -1\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 + 35. Let x be (1 + 0)\/((-67)\/l + -3). Solve 6 = 4*f + x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12244 divided by -11582\nAnswer: 6122\/5791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7))**17\/(x**(-2\/3)*x\/(x\/(x**(-6)\/x*x))*x*x)*(x\/x**(1\/2))**23\/((x\/((x**2*x)\/x))\/x**(3\/4)) assuming x is positive.\nAnswer: x**(1913\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -23*d + 1. Let x(c) = 11*c. Suppose 0 = -40*h - 82*h - 18*h - 1820. What is h*x(z) - 6*f(z)?\nAnswer: -5*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80984 and 382.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 4 (b) -0.3 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -16\/11*u + 2\/11*u**5 + 2\/11*u**2 + 14\/11*u**3 - 10\/11*u**4 + 8\/11 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**3 - 8 - 787*b - 9*b**2 + 802*b + 1. Let s(h) = 2*h**3 - 4*h**2 + 7*h - 3. Determine -4*p(n) + 9*s(n).\nAnswer: -2*n**3 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:45 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59087790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 37*x**2 - 411*x + 2399. Calculate a(6).\nAnswer: 1265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2108 + 2123. Solve 3*k = -2*i + j, -k + 28 - 23 = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-666)\/229437)\/(21\/91)?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -89365108?\nAnswer: 89365107.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 2421311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from ddddddddddtdddddddd?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + -0.7. Let r = 30625.5 - 30624. What is the nearest to w in -1, r, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, -14740, 1 in descending order.\nAnswer: 5, 1, -11, -14740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 6*b**2 + 6*b - 8. Let f(w) be the third derivative of -w**5\/30 + 11*w**4\/12 + 17*w**3\/6 - 12*w**2. Let k be f(12). Give p(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 11*s - 19. Let g be v(14). Suppose -5 = c - 5*n - g, 2*c = -2*n + 36. Solve -p = -4*r + c, -8 = -5*p + 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from dvijjjttvvddjvvjj?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49*t**3 + 17*t**2 - 5034 wrt t?\nAnswer: 147*t**2 + 34*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 - (-1)\/2. Suppose 4*p - 3*p - 15 = m. Suppose 4*z - 4*i - 52 = 0, -3*z + p = 2*i - 29. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 8)*(-3)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 11\/15638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 3. Let x be y(0). Let k(a) = 4*a**3 - 8*a**2 - a + 10. Let g(j) = 5*j**3 - 9*j**2 + 11. Let z(s) = x*g(s) + 4*k(s). Determine z(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 14. Let y be n(7). Suppose -a + 16*a - 3435 = y. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 46556.39 micrograms?\nAnswer: 0.04655639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1892953 is divided by 57362.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 11*p**2 - 10*p + 10. What is the least common multiple of 4 and v(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s. Let r(d) = -4*d - 6. Calculate -3*h(x) - r(x).\nAnswer: x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223 rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28568 or 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by -11?\nAnswer: 59\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 80, -150, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(216) - -5*sqrt(24)*2)\/((sqrt(72) - -1*sqrt(72))\/sqrt(6)*5).\nAnswer: 8*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 12 + 10 - 971*d in the form r*d + k and give r.\nAnswer: -971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4289165*k*r**3 - 2*k*r**2 - 4*k*r - 629*r**2 wrt r.\nAnswer: 25734990*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -468*h**3*w**5 + 6*h**3*w - h**3 + 170*h**2 + 2*w**5 wrt w?\nAnswer: -9360*h**3*w**3 + 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1437 divided by 1.\nAnswer: -1437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 9*u - 10. Let o be -26 + 19 + -2 + 7. Let l be c(o). Solve 3*g + y + l = 0, 0*y + 15 = 3*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -11*v**3 + 9*v**2 - v - 9. Let m(s) = 5*s**3 - 4*s**2 + s + 4. Determine 9*m(b) + 4*x(b).\nAnswer: b**3 + 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2\/15*c**5 + 28\/15*c**3 - 4\/15*c**2 + 6\/5*c**4 - 14\/15 - 2*c = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 8:10 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 1, t: 3, a: 10}. Give prob of picking 1 x and 2 t.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-3) - 111\/(-3). Let a = l - 10. Suppose -25*q = -a*q - 30. Solve q = p - 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.049872387 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a. Let w(o) = -21*o**2 - 3*o. Give w(y(d)).\nAnswer: -84*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124 - -191. Suppose 365 = -9*w - k. Is -3 + w\/(-20) - 11608\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/17? (a) -722 (b) 2\/87 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*f*n + 93292593*f - 329720*n + 2 wrt n.\nAnswer: 85*f - 329720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2071176 micrometers to millimeters.\nAnswer: 0.0002071176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1708821 and 176232.\nAnswer: 95693976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 213655 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12283.6593 - -12283. Round t to two dps.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54339822 or 54339821?\nAnswer: 54339822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -25 (b) -101.155 (c) 1\/3 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26969 + -25669. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 1:06 PM?\nAnswer: 545","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/10 - (-159)\/6. Suppose 5*g - 4*b = y, -3*g - b + 14 = -3*b. Let z(t) = -2*t**2 - 6*t**2 + 0*t**g. Let p(q) = 2*q**2. Determine p(z(i)).\nAnswer: 128*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2 (b) 0 (c) -0.3 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14742 = -2187*p + 98982 for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 5. Let r(q) = -13*q - 218 - q**2 + 212 + q. Let a be r(-10). What is the highest common divisor of a and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, v: 2, l: 6, f: 8}. Give prob of sequence pfvp.\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a + 5*q - 5*q + 4*q = 788, 2*a + q - 29 = a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/13401 and 83\/12.\nAnswer: 53604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 + 4*p**2 - 835*p + 2. Let x(k) = 5*k**3 + 10*k**2 - 1671*k + 5. Give -5*j(d) + 2*x(d).\nAnswer: -5*d**3 + 833*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1412 divide 59024769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 4*i**3.\nAnswer: 2*i**3*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 11662*y**2 - 33907073*y - 545502736.\nAnswer: -(y - 5839)**2*(y + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 18 = 4*m + 4*k, -4*m - 24 = -k. Let p be m\/(-27) - (-34)\/9. Suppose -5*s = -s - 8. Solve 3*a = -p*v + 1, -5*a - 6 = -s*v + v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 8.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29\/75 + -326\/75. Let r = -1600 + 6331\/4. What is the common denominator of r and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w - 8 = 0. Let v be (2 - -1)*w\/(-3). Let u(t) = t**3 - 4*t**2 + 3*t - 5. What is u(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.005 + 3.205. Which is the third biggest value? (a) 2\/721 (b) -1\/4 (c) -4 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b\/b**0))\/b)**2)**(-1)\/((b*b\/(b**1*b))**(-13\/2)\/(b*(b**(-2\/7)\/b)\/b)**3) assuming b is positive.\nAnswer: b**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.073014602 rounded to 1 dp?\nAnswer: 26.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -623, -1251, -1891, -2549, -3231, -3943, -4691?\n\"Answer: -c**3 - 621*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -375 - -487. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071913956 to the power of 1\/2, to the nearest integer?\nAnswer: 32740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 24*p**2 + 2*p. Let l(w) = -w**3 + w. Give -g(f) + 2*l(f).\nAnswer: -f**3 + 24*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(4\/9)\/(j*j\/(j*j**(-2)))**42)**(-12) assuming j is positive.\nAnswer: j**(4552\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12. Let b(t) = -t - 10. Let g(a) = -6*b(a) - 5*k(a). Let n(h) = 211*h - 3. Calculate n(g(d)).\nAnswer: 1266*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 7*o = -0*o. Let c(n) be the third derivative of -n**4\/24 + n**3\/2 - 3*n**2 + 22. What is c(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57611795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + i = 5*i - 114, -4*i = -3*o + 221. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1936.8 + -3544. Round d to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p**3\/7 - 3133*p**2\/7 + 4890*p\/7 + 70200\/7.\nAnswer: (p - 390)*(p + 4)*(8*p - 45)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -3 - ((12 - 10) + -5) - -6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cztl when four letters picked without replacement from eczltzc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10 - 26\/(-64). Let y = i - 97\/160. Let v(k) = k + 5. Let u be v(-5). Do y and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - 7*j**2 + 21*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 5, 18\/7, -14, -2\/7, -9\/5 in increasing order.\nAnswer: -14, -9\/5, -2\/7, 2\/19, 18\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 1 w when three letters picked without replacement from whmhlmwamwmwwmwmlmh.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.24.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/50)*m*m*m\/(m*m\/(m\/m**(-5))))**(-40))**(-3\/10) assuming m is positive.\nAnswer: m**(2406\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 29 = -t + 2*t, -2*t - 86 = -3*k. Solve -3 = -5*p - k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/(((-261568)\/213966 - -1) + 272\/1224)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369 = -7*c - 153 - 181 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*h + 444*h - 60 = -5*y, -112 = 4*y + 4*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006955489 rounded to 7 dps?\nAnswer: -0.0000696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 209 + 209 - 2*b - 4*b + 2*b + (-8 + 4 - 7)*(-2*b + 0*b + b)*(-1 + 2 + 0) - 4 + 4 - 2*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -171 and -299591.1.\nAnswer: -299762.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a year in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7 = -3*o, 4*o = 20*n - 17*n + 19. Solve 3*w = 3*p + 13 - o, -4*w + 19 = -5*p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 40 = 3*p, 0 = 2*a + 4*p + 9 + 1. Solve y = -a*v + 21, 2*y = y + 5*v - 19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-15)\/((-240)\/(-16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*-5 + 2\/(-2). Let x be u\/20*-2 - 2. Sort x, -5, 2\/3 in increasing order.\nAnswer: -5, x, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/63 in -5, 2, 2\/11, -0.2, -2\/249?\nAnswer: -2\/249","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*i, 0 = -3*k + 4*k - 2*i + 4. Suppose -x + 2*m = -101, -4*x + 404 = -0*m + k*m. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5006\/323955 + -13\/626. Calculate the common denominator of m and -83\/966.\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 0.2, -0.3, -1\/5 in decreasing order.\nAnswer: 0.2, 1\/11, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(572)\/(sqrt(99) + sqrt(11)))\/(sqrt(324)*-1).\nAnswer: -5*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 1:18 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 8*z**3 + 39*z**3 + 17*z**3 - 44*z**3 + 49*z**3 + 26*z**3.\nAnswer: 79*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fztwznzzfnzmzzfff. What is prob of sequence fw?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1196540336 to the nearest 100000.\nAnswer: -1196500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 24*r - 22*r. Let g = -36 + r. What is the second derivative of -11*p + g*p + 23*p**3 - 6*p**3 wrt p?\nAnswer: 102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-1 - 0 - -13) + 1029 + -1035.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 + (-1170)\/(-30) + (-2)\/(-2))*(-2)\/18.\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-19)\/(a**(-19)*a))\/(a**(-7)*((a\/a**(-6))\/a)\/a) assuming a is positive.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3274 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a + 16*a - 15 = 0, 7*t + 5*a + 18 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25393380 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -22780?\nAnswer: -22779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5541133 from -363344.96.\nAnswer: -5904477.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12412 and 1856?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 9*l**2 + 6*l + 8. Let c be x(8). Let u = -5 - c. Let p be (117\/(-52))\/(-9) - (-15)\/4. Solve -z = -u + p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2*o**2*q + 14*c**2*o**2 + 100*c**2*o*q**3 + c**2*o*q + c**2*o - c*o**2*q**3 + 2*c*o*q**3 wrt o?\nAnswer: -4*c**2*q + 28*c**2 - 2*c*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -96.3129 times 666\nAnswer: -64144.3914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 25*p**4\/12 + 14*p**3\/3 + 82*p**2. What is the first derivative of h(w) wrt w?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 276, 124, -136, -510, -1004, -1624, -2376, -3266?\n\"Answer: -y**3 - 48*y**2 - y + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665567 is divided by 3294?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2332325 (base 6) in base 7?\nAnswer: -1013006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7719 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 - 7*g - 56. Is z(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42340.98 to the nearest ten.\nAnswer: -42340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*c + 20 + 17 - 15 + 110*c - 55*c.\nAnswer: -c + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -37. Let r(p) = -p**3 + 11*p**2 + 8*p + 7. Let g be r(10). Suppose -2*q + 2*a + g = -281, -704 = -w*q + 4*a. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, q: 6, h: 5, d: 4}. What is prob of sequence ehe?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-5) - (-2 - (-204)\/(-30)). Let i(q) = q + 1 + 0*q - 3 - 4*q. Let d(o) = 7*o + 5. Determine p*i(x) + 4*d(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p**2 - p)*(12 - 2 - 2).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {n: 12, z: 5, r: 1}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.065, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-358740)\/(-8) - 70\/(-28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*a + 44 - 18 - 22)*(6*a**2 + 8*a**2 + 8*a**2 + 0*a**2) to the form p*a**3 + o*a + n*a**2 + u and give n.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p - 4. Let s(g) = -1. Let b(y) = y - 2. Let z(r) = -b(r) + 3*s(r). Let c(m) = f(m) + 4*z(m). Give c(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -20440?\nAnswer: -1\/4088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 40*d**2 - 174*d + 39. Let o be z(-35). Suppose -9*b = o*b - 520. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 300 + -262 - (-25 - -2) - 27\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1620 (base 14) to base 11\nAnswer: 2a6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 0*b + 2*b - 4*b. Suppose 3*s = -0*d + d, -5*s - d = 0. Let v(f) = -f + 0*f + s*f. What is v(z(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 394789402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*w - 42*w + 80*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25500 and -0.4?\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9085 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/14*-3 - (2505\/420 - 2100\/336)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 2 = -w. Suppose 15*y - 72 = w*y. Does 19 divide 48\/y + (112\/6 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*10\/(-105))\/((-6)\/7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45375 is divided by 40.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((3 - -1)\/(-12)). Suppose f*z = z. List the prime factors of 5\/3*3 - z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 915976071094\nAnswer: 915976071079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*o + 231*o - 4599 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 1. Let f(y) = 14*y + 12. Let s(j) = -5*f(j) + 60*o(j). Let k(h) = 3*h. Determine -16*k(i) - 5*s(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**5\/20 - h**4\/4 - 3*h**2\/2 - 13*h + 6. Let b(m) be the first derivative of v(m). Give b(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 391 - 387.86. Let c = -0.14 + j. What is the third smallest value in 2\/5, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y**4 + 0*y**2 - 9*y**4 - 6*y**2 wrt y?\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-39)\/6 - (-2)\/4. Let o(h) = h**3 + 5*h**2 - 7*h - 4. Let l be o(u). Suppose q = -l*q + 6. Let y(z) = 7*z + 1. What is y(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164692900.\nAnswer: 2, 5, 41, 40169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + -9. Let j = 3 + p. Is (j\/8)\/(-1)*4 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11492 is divided by 5712?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001101122111 (base 3) in base 13?\nAnswer: -2c2384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/8)\/(11055\/1840 - 6). Calculate the highest common divisor of o and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*x - 1202 = -5391 - 1530 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7421.956ms to nanoseconds.\nAnswer: 7421956000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6156 is divided by 308?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**2 + a. What is the remainder when (-4 - -3)\/((-2)\/34) is divided by s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 3*i**2 - i**3 - 3*i + 1 + 2*i**3. Suppose 0 = -40*v + 33 + 127. What is g(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*o + 14, 3*w + o - 2*o = 33. Suppose i = -i + w. Suppose l + 13 = 4*a, -3*l = -8*l - i. Solve 3*z - a = 6*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 (base 8) in base 10?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/(-1)*(-2)\/(-4). Let u = -338 + 340.7. Let f = u - 2.7. What is the second smallest value in 1\/3, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26090 is divided by 25860.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 258293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 7*h**2 - 29)*((h - h**3 - h)*(-2 - 10 + 2) + 5*h**3 - 5*h**3 - h**3).\nAnswer: -63*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626407?\nAnswer: 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 + 27*n**4 + 111*n**3 - 415*n**2 - 2100*n.\nAnswer: n*(n - 4)*(n + 5)**2*(n + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Suppose -12 = -2*j - u. Let i be (5\/3)\/((-2)\/j). What is the second smallest value in 0.1, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 209*v - 7 + 207*v + 27*v.\nAnswer: 443*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17526 by -1.\nAnswer: -17526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 269 + -265. Find the third derivative of 69*r**6 + 646*r + 5*r**2 - 644*r - n*r**2 wrt r.\nAnswer: 8280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -345541 > -345539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -168*4954.361\nAnswer: -832332.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -58. Put -6, i, 0 in increasing order.\nAnswer: -6, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 71671 = 67063. Calculate the remainder when r is divided by 36.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/8 and -35\/39598296?\nAnswer: 39598296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 6:52 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 30\/2831 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*a**2 + 8*a - a**2 - 8*a in the form n*a + o*a**2 + m and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 5, 15?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/4 + 1\/2. Let q = 27 + -30. What is the nearest to 1 in -1\/10, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 12*w + 17. What is the least common multiple of 15 and x(13)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785980436?\nAnswer: 2, 47, 4180747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -824 - -5?\nAnswer: -81b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25795, -25776, -25745, -25702?\nAnswer: -25647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21560.02mm?\nAnswer: 21560020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18846, 37713, 56580, 75447, 94314, 113181?\nAnswer: 132048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.8485 to one dp.\nAnswer: 20.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (59\/((-18172)\/336))\/((-4)\/(-2))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*1)\/((-11)\/22). Let x(p) = p + 2. Let m be x(c). Let a = -1.05 + 1. What is the third smallest value in m, a, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 3*o. Let c be v(-2). Let y(x) be the first derivative of 3*x**4\/2 - x**2 - 14. What are the prime factors of y(c)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18105, 18246, 18481, 18810, 19233?\n\"Answer: 47*h**2 + 18058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-14)*7\/(-175).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.9 - 3.1. Let c = h + 5.2. Let v = -0.2 + c. What is the second biggest value in 1\/5, v, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138946*v**2*w**3 - v**2*w**2 + v*w**2 + 5*v + 3*w**2 - 3198*w wrt w?\nAnswer: -833676*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2 + v + 2 + 6 - 3. Suppose 6*n - 44 = 2*n. What is the remainder when k(12) is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - o = -16, -2*o + 6*o + 4 = k. Let c(f) = -f**2 + 7*f - 4. Let j be c(k). Solve j*m - 3*m = 5*g + 10, -5*g = 2*m - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, b: 2, r: 5, k: 2}. What is prob of picking 2 r?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153774 and 45?\nAnswer: 768870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -960, -4185, -9546, -17037, -26652, -38385, -52230, -68181?\nAnswer: -86232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 19*c**2 + 6*c - 4. Let d(b) = 2*b**2 + b - 2. Let y(n) = 6*d(n) - z(n). Let m(o) = o**3 + 9*o**2 + 6*o - 9. Let t be m(-8). Determine y(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 5*n + 18*n**2 - 1\/24*n**4 + 0*n**3 + 0. Let f(m) be the first derivative of 11*m**2\/2 + 1. Give f(a(o)).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express i - i - i + (3 - 3 - 2*i)*(5213 - 1279 + 7480) - 2 - 3*i + 2 as h*i + f and give h.\nAnswer: -22832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/4)*(c*c\/c**(1\/9))\/c)**(-3\/7)*(c*c*c\/c**0)**(-1\/11)\/(c**(-1))**30 assuming c is positive.\nAnswer: c**(26819\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -254740, -254716, -254692?\n\"Answer: 24*d - 254764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kklkqlllkl. What is prob of picking 1 k, 1 q, and 2 l?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 15705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12314799785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.8 and 32.\nAnswer: -121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + g**2 + g - 2. Let s be d(-2). Let q be (-9)\/36 + (-6)\/s. Let o be (26\/4)\/(q\/10*-5). Solve 4*l - 5 + o = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, 0.3, 0, -534205, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*p**5 - 36780*p**4 - 22272*p**3 + 86970*p**2 - 30939*p + 2946 = 0.\nAnswer: -2, 1\/5, 1, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102950, 411819, 926600, 1647293, 2573898?\nAnswer: 3706415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -168.162955334 - -0.163044334. Let j = -168 - o. Round j to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - p**2 - 2)*(-3*p + 2*p + 0*p) + 6*p**3 - 4*p**3 + 0*p**3 + (p + 3*p - 5*p)*(83*p**2 - 4*p**2 - 5*p**2).\nAnswer: -71*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 31 + (-19 - -17) + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 4. Let h be y(-5). Let o(c) = 9*c**2 - c. Is o(h) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -23621, -51, 4, 0 in decreasing order.\nAnswer: 4, 0, -1, -51, -23621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 15629108?\nAnswer: -15629109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 9*q + 75 = 15*q + 5*p, -3*q = -4*p + 57 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6387301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238119 and 18.\nAnswer: 1428714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 7*v**2 + 9*v - 4. Let u be l(-8). Let x = u - -16. Suppose x*w + 15 = 7*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.35 + 0.05. Let h = k - -3.3. What is the biggest value in -3\/2, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/4 (b) 3 (c) 6 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(sqrt(432) + sqrt(432) + -2)*-3 + -4 + -4 + sqrt(432) + -4)**2.\nAnswer: 480*sqrt(3) + 10816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -177 - -199. Calculate the remainder when 174 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.002 - -0.098. What is the third biggest value in f, 0.4, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 - (-1 - 6) - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**5\/60 + 7*b**4\/24 + 5*b**3\/6 - 4*b**2. What is the tens digit of x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7912, 68135, 231588, 549883, 1074632, 1857447, 2949940?\n\"Answer: 8602*z**3 + 3*z**2 - 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 835.436 times -178?\nAnswer: -148707.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/30)\/1*3300\/(-2640)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**3 + 8*q**2 + 5*q - 3. Let m be i(-2). Let h(u) = 3*u - 5. What is h(m)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kddkkkdkdkdkdkkkkkk. What is prob of sequence dddd?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 1. Let c(s) = -130*s**2 - 2*s - 10. Let o(r) = -c(r) - 6*t(r). What is the second derivative of o(f) wrt f?\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45755435*h - 2*g - 6 = -45755437*h, h - 2*g - 1 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**3 + 2*v**3 - 4*v**3 + (706 + 57 - 39)*(2*v**3 + 3*v**2 - 3*v**2) to the form l*v**3 + b*v**2 + i*v + x and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -159\/788 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10 = 2*m. Let a be (-2)\/(-2 + m + -1). Suppose -a*b + w = 2*b - 76, 5*w - 20 = 0. What is the lowest common multiple of b and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 8. Suppose -3*g = -4*g - 6. Let d be i(g). Suppose -2*m - 5*o + 9 = -9, 2*m = 4*o + 36. Solve 2*q - 4*h = -h + m, 0 = -h - d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21236 + 153?\nAnswer: -21073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -434246 in descending order.\nAnswer: -2, -4, -434246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27132184 and 4664?\nAnswer: 298454024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -791, -825, -877, -953, -1059, -1201, -1385?\nAnswer: -1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 9, t: 2}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -r - 5*q - 31, 2*r - 3*q + 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1106483 by 158069.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:56 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/8082 and 63\/392426?\nAnswer: 3531834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -12*o**2 - 63*o - 62. Let j be p(-1). Is j at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1, -4, -3\/7, -41?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 17 = 14*g - 17*g, -26 = 2*g - 5*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 4405\nAnswer: -440.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 2*x - 7. Let r be m(-4). Suppose 5*z + 315 = 5*d, d + 0*d - 258 = 4*z. List the prime factors of (r - 3)\/(5\/z).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, c: 9}. What is prob of picking 3 m?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 120602 (base 14) to base 4\nAnswer: 2112112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6677232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**4 + 239*o**3 - 82*o**3 + 5 - 86*o**3 - o**2 + 2*o - 73*o**3 to h*o**3 + b*o**2 + y*o**4 + q*o + l and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*y - 22, 2*y + 7*d = 2*d + 11. Let c = -7 - -27. Let b be c\/(-6)*(8 + y). Round b to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/13)*(n\/(n**(-3\/4)\/n*n)*n)\/n)\/(n**(-2))**43)\/((n**(-1\/2))**(-6\/25)\/(n**(4\/3)\/(n\/(n**(1\/7)\/n)))) assuming n is positive.\nAnswer: n**(2373799\/27300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/87 and 5\/87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 26 - (-2 - (-2 - (-3 + 3))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14*v - 58. Let a be r(5). What is the second derivative of a + 9*i**3 + i + 8*i**3 - i**4 - 6*i**3 + i wrt i?\nAnswer: -12*i**2 + 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464637.\nAnswer: 3, 61, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221212 + 1021112?\nAnswer: 12020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = -5*p. Let m(i) be the third derivative of -i**4\/24 + i**2 - 52*i - 53. Let t(w) = -2*w - 1 + 0 - 10*w. Calculate p*t(r) + 22*m(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 11:23 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3548\nAnswer: 3546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -15. Let o be (-2)\/8*(5 + -1)*-107. Suppose 4*m + 2*t + 3*t = 130, o = 3*m - t. Calculate the remainder when m is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 10\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3056849391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -3 - (sqrt(19) - (3*sqrt(190))\/sqrt(10) - sqrt(19)))**2.\nAnswer: -42*sqrt(19) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1916833.\nAnswer: 1\/1916833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 + 27.3\nAnswer: 27.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 minus 61443?\nAnswer: -61467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jay. Give prob of picking 1 y and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199566?\nAnswer: 2, 3, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7900000 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2. Let v(c) = 33*c. Determine v(f(h)).\nAnswer: -66*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7)\/i)\/i**(-1\/5)*((i\/(i\/((i\/i**3)\/i)))\/i)\/((i\/((i**15\/i*i)\/i))\/i*i) assuming i is positive.\nAnswer: i**(282\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36810 and 2085.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 4, -1452*x + 1447*x - f + 16 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 521*t. Let c(h) = -64350*h. Give c(x(i)).\nAnswer: -33526350*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/2*30\/345?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*y**5 - 57*y**4 + 33*y**3 + 12*y**2 = 0. What is y?\nAnswer: -1\/4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -164131288*g**4 + 1077723*g**2 + g + 5 wrt g?\nAnswer: -3939150912*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**4 - 13*m**3 + 839*m**2 - 1028751 with respect to m.\nAnswer: -12*m**3 - 39*m**2 + 1678*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/12323427 and 81\/10?\nAnswer: 123234270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 23. Let v be k(16). Let p be (v\/((-18)\/(-340)))\/(-4 + 2). Suppose 13 = n - p. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46561\/40 - 1164. Let o(g) be the third derivative of z*g**6 - 6*g**2 - 1\/35*g**7 + 0*g**4 + 0*g**3 + 0 + 1\/20*g**5 + 0*g. Let o(c) = 0. Calculate c.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 34\/(-4)) + 12\/(-24).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -6. Suppose -10 = -s - d*u, 2*u - 13 = -3*s - 4. Let j be (-2 - -1)\/((-1)\/2). Solve j*m + 2 = 0, -n + 2*m = 5*m + s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8816569 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 t(x) = 2*x**3 - 46*x**2 + 42*x + 29. Calculate t(22).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - q = -7, 4*w - 5 = -w + 5*q. Let f be 27 + 2\/(-1) - 2. Suppose o + 0*n + n = f, 0 = -3*o - w*n + 74. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(-174) - 3\/(-9))*78?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**2)**(1\/16)*(n*n**6\/n)\/n**(-4))\/(n**(-1\/11)*n*n\/(n*n*((n*(n**(-1\/5)*n)\/n)\/n*n)\/n))**(-30) assuming n is positive.\nAnswer: n**(2325\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 13*o - 3. Determine p(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 89343859 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 12:17 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 i, and 1 v when three letters picked without replacement from {a: 3, i: 7, v: 1, b: 1}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 12, 24, 40, 60, 84?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108.16 - 108. Let j = l + 0.31. Let s = j - 0.57. What is the second smallest value in -0.5, 8, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 65) + 5 + -1 - (-19 - (-23 - -13))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -100*v + 3717. Calculate z(38).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q - 88. Let v be (266\/(-76))\/((-14)\/(-8) - 2). Let g be l(v). Solve -g = f - 6*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-300))\/(((-8)\/(-4))\/16)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4) + 5 + sqrt(17) - (6*sqrt(68))**2 - (sqrt(170)\/(sqrt(450)\/sqrt(5) + sqrt(10)))**2*-1.\nAnswer: -39071\/16 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.194 - 0.134. Let o = -5.36 + k. Let l = -4 - o. What is the biggest value in 5, l, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -226 - -230. Solve 1 = -x*t - 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 0*j**2 + 9*j**3 - 2 + 72*j - 1\/2*j**4. What is the first derivative of d(g) wrt g?\nAnswer: -6*g**2 + 54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9131826.\nAnswer: 2, 3, 11, 83, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1955064 and 290?\nAnswer: 9775320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-4))\/((2\/(-1))\/1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.49426528 + 27.36327. Let k = d + 0.131. Round k to 7 dps.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or 0.37?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*y, -1 = -y + 2*p - 2. Let x(a) = -7*a - y - a**2 + 7 - 4. What is the tens digit of x(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*b)*((-2 + 2 + 2*b)*(-11*b + 9*b + 80 - 1) - 2*b**2 + 0*b + 0*b) in the form q*b + j*b**3 + v*b**2 + m and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(208) + -1 + sqrt(208).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t + 2 + t + 1 + 4*t. Let z be o(0). Suppose -2 = -4*m + 5*d + 12, z*d + 6 = 2*m. Calculate the lowest common multiple of m and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, f: 6, y: 2, e: 4}. Give prob of picking 1 e and 3 f.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -4\/105*r**7 + 0*r**3 + 7\/8*r**4 + 0*r**6 + 0 + 0*r**5 + 0*r - 19*r**2. What is the second derivative of z(a) wrt a?\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-1 - -4) + (-30 + 25 - 18)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 11:51 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4131)*3)\/(sqrt(480)\/sqrt(10)) + -4 + 1*(sqrt(170) - 6*sqrt(170)*2)\/sqrt(10).\nAnswer: -17*sqrt(17)\/4 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14976 + 14986. Which is the nearest to x? (a) 5 (b) 0 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007869911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -292, 4, 0, 3, -21, -2.\nAnswer: -292, -21, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 12:26 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 5915 - 5915. Let s(i) = 5*i**2. Calculate s(q(n)).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/(-9)*18\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -351 + 3163\/9. Sort p, -0.2, -4 in ascending order.\nAnswer: -4, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**0\/x))\/(x*x**(1\/6))*(x\/(x**(-1)*x*x))\/x**(2\/3))**(1\/20) assuming x is positive.\nAnswer: x**(1\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p**2 + 141307*p + 282596. Give t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-34)\/(1156\/(-2499)))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0.5. Let t = -1.49999956 + u. Round t to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12268370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 116500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11383775?\nAnswer: 5, 13, 35027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51408 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-7)*(-112)\/(-32). Suppose -2*t = 3*t - 625. Suppose l*d - 3*n + 6*n = t, -n - 145 = -4*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: Let s(n) = -n + 11. Let w be s(9). Suppose 65 = 3*j + w*j. Solve 3*o = 3*y + 4*o + j, -y - 4*o - 8 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(1900) - (sqrt(1900) + 1*sqrt(1900))) + 3 + sqrt(1900) + sqrt(1900)))**2 - ((sqrt(1900) + sqrt(1900)*2 + 5 - sqrt(1900)) + -4).\nAnswer: 2140*sqrt(19) + 68723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -592070\/3553 <= -168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.314197 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -45*r**2 - r + 2. Calculate c(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 12:42 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 149*q**2 + 3*q + 174*q**2 + 2 - 384*q**2 to m + y*q**2 + u*q and give y.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {s: 3, w: 4, y: 1, p: 2, o: 4, z: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 1. Is 1 + 1 - w*15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123.36 + 123. Let n = 0.67 + x. Round n to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 10 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - t. Let h be o(-2). Let d = h + -13. Solve -1 - d = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 3*u**2 + 4*u + 1. Let t be h(-4). Let i be t\/(1*(-1)\/(-2)). Solve 0 = 3*d + i*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*g**3*h*t - 4*g**3*t**3 - g**3*t**2 + 2*g**3*t + 1683*g*h + 1548*g*t**3 - 2*g*t**2 + 7*h*t**3 wrt t.\nAnswer: -24*g**3 + 9288*g + 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5613 - 0.0387. Let j = 0.05 + 0.1. Let d = 0.05 + j. Which is the nearest to 0.1? (a) n (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.0347 to 1 decimal place.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -10301?\nAnswer: -10232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 142.\nAnswer: 7\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 81 = -363. Let t = -69 - h. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + -3 + sqrt(2057)*3))**2.\nAnswer: 594*sqrt(17) + 166626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 4*s - 1. Let b be y(4). Suppose 2*p - 18 = -2*v, 3*p - v = 3*v - 1. Put p, 1, b in descending order.\nAnswer: p, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 + 0 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 1 = 9*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 26 (b) -8 (c) -2\/9 (d) -5214\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 - -81.2. Let s = 41223731 - 41223811.0000075. Let c = t + s. Round c to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119603 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 5375 (c) -20 (d) -4\/5 (e) 3\/5 (f) -2\/5 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20701\/4 - 5176. Which is the second smallest value? (a) 0 (b) 3\/58 (c) j (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 5*t + 70, -48*t - 52*t = -4*p - 102*t - 22 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 24. Suppose 4*t - 9 - 5 = -u*k, -5*k - 35 = -4*t. Suppose -t*p - 360 = -14*p. Is p bigger than 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwzwwzzzzzwwzzwzzzw. What is prob of sequence wz?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-25)*(-6)\/24*10\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c - c - 2*c)*(c + c - c**2 + 0*c**2)*(257 + 25 - 74) as g*c**2 + w*c + i*c**3 + r and give i.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 + 544*f + 2174. What is s(-4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -333, -660, -987, -1314?\nAnswer: -1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = u - 1, 36 = 4*u - 4*l. Let m(h) = h**2 - 15*h - 20. Let o be m(16). Let z = o + u. Put 0, 4, z in descending order.\nAnswer: 4, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from nnnnnnbnnnnnnnbnnn?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -118a?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 260*p - 126748. Give z(195).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 2)*(n - n + 3 + n**2) + (-38 - 30*n + 38)*(-2*n - 5*n + 3*n) to p*n + r + o*n**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 850 - 773 = 16*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**3 + 9*w**3 - 11*w**3.\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673698.\nAnswer: 2, 3, 47, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i - 29*i = h + 30, 0 = i - 4*h - 30. Solve -i*f - 5 = 43 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10239 - -10239.1. What is the nearest to -3 in -6\/7, 4\/5, 3, t?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4*(sqrt(187)*1*5 + sqrt(187)))\/(-1*sqrt(99)*1))**2*6.\nAnswer: 96*sqrt(17) + 6534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0*q**3 + 0*q**6 + 0*q + 1\/24*q**4 + 3*q**2 + 0*q**5 + 1\/210*q**7 + 0. Find the second derivative of k(x) wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 7:54 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102189*m**2 - m + 13858 wrt m.\nAnswer: 204378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7804, -55, 61?\nAnswer: 7804","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/22 - 286\/(-242).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 78 (c) -0.3 (d) 414\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -255 - -261. What is the greatest common factor of c and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 - v**3 + v**3 + (2 + 3 - 3)*(-v**5 + v**4 - v**4) - 2*v**5 + 0*v**5 + v**5 - 2*v**5 - 4*v**5 + 2*v**5.\nAnswer: -8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 2. Let p(c) = -c**3 + 11*c**2 + 12*c - 3. Let d be p(12). What is n(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 + b + 1. Let q(o) = o**2 - 1. Calculate -f(z) - q(z).\nAnswer: -4*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/23, 13\/2, 2, 5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 161*z - 78*z - 14*z**2 - 88*z in the form f + u*z + o*z**2 and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 - 8*z + 11. What is the lowest common multiple of d(3) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04435 - 0.15565. What is the closest to q in -0.133, 1\/2, -4\/7?\nAnswer: -0.133","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 29. Let j be 65\/y*4\/(-5). Let r(s) = -s + 1. Let x be r(j). Sort -4, x, -6.\nAnswer: -6, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f + f + 9*f + 8*f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n + 0*n**2 + 4*n + n**2. Let x(f) = -f + 3. Let w(l) = a(l) + x(l). Suppose -6 = 6*h - 8*h. Determine w(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-3) + 3\/(-9). Let o(g) = 9*g**2 + 2*g + 1. Let m be o(-1). What is the greatest common divisor of m and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 716063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(-1) + (-14 - -45) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqqg when four letters picked without replacement from {q: 5, g: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*y + 928 = -1248 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven tenths of a meter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(931) - (sqrt(931) - (sqrt(931) + 0))*3) + sqrt(931) - 1*(sqrt(931) + sqrt(931) + 2 + sqrt(931)) - (-2 + sqrt(931)*-3 + sqrt(931) + 4))**2.\nAnswer: -336*sqrt(19) + 5682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**3 + 63*u**2 - 156*u - 3008. Determine f(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxxxxxxxxxxxxxsxxxs. Give prob of picking 1 x and 1 s.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1253 = 4*s + 1269 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -0*u - 5*u - 32, -1089 = -5*u - 2*m - 1115 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 - 1)\/(-8 - -7). What is the closest to d in -0.3, 1\/5, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563680 a multiple of 271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5 - 1742*z**4 - 127482*z**3 + 392918*z**2 - 396412*z + 132720 = 0 for z.\nAnswer: -790, -84, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 4*o - 3*g = 22, -2 = -3*o - 5*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 5. Let u = -54 + 163\/3. Let q(o) be the third derivative of 0 + 0*o + u*o**3 - o**2. Calculate -5*q(z) + 2*s(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 48 - 12. Let j be (-36)\/(-21) - t\/(-14). Suppose -y + 3*h + 5 = -2*y, 4*y - 19 = h. Solve j*p - 6 = y*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*l - l. Let g be l\/(-3) + 5\/15. Is g bigger than -1\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2858 at least as big as -312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-70)\/(-15) + -5 + (-4)\/(-3). Suppose -64*i + b = -63*i. Is 47*i*(6 + -7)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + y**2 + 2*y. Let n(f) = -6696*f**3 + 84*f**2 + 168*f. Determine -2*n(g) + 168*u(g).\nAnswer: 13224*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p**(8\/7)*p)\/p)\/p*p**7)**(-1\/45) assuming p is positive.\nAnswer: p**(-64\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -0.11. Let z = 0.21 - c. Sort -0.4, z, 2\/13 in ascending order.\nAnswer: -0.4, 2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2.46, -1\/100, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*n**3 + 837*n**2 - 839*n**2 + n - 5*n**4 + 47*n**3 in the form u*n**2 + a + x*n + z*n**3 + c*n**4 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d = -30. Suppose m - 8 = 2. Calculate the highest common factor of d and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = j + 701, 36 + 102 = -x + 2*j. Round x to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863156 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3280*o**4 - 4*o**3 + 16*o - 5064. Let v(t) = -9841*t**4 + 11*t**3 - 44*t + 15192. Let r(a) = 11*f(a) + 4*v(a). Differentiate r(p) wrt p.\nAnswer: -13136*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 8 + 15 = -c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87742698 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1230 and 59910.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/7)*q**3)\/(q\/(q**(2\/7)*q))**3*((q\/q**(6\/11))\/q)\/q**(-6)*(q\/(((q*q\/(q\/(q**(-1\/9)*q)))\/q)\/q))\/q*q*q**2*q assuming q is positive.\nAnswer: q**(9599\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 350?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17814078?\nAnswer: 2, 3, 989671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/132 and 25\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -36. Let j = -12 - d. What is the second smallest value in -4, 0.3, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/3)*t**(-12)*(t\/(t\/t**(-10))*t)\/t**22 assuming t is positive.\nAnswer: t**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(30) + ((sqrt(300)*-1)\/sqrt(10) - sqrt(30)))\/((sqrt(70) + 1*sqrt(70))\/sqrt(7)) + -5*(sqrt(363) + -1) + 0)**2.\nAnswer: -222*sqrt(3) + 36979\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46 - -1)*1288\/(-20) + 6. Calculate the highest common factor of m and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6108 and 420.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -14. Let x(y) = -y**2 - 10*y + 2. Let k be x(-10). What is the nearest to 2\/7 in g, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931764785?\nAnswer: 5, 7, 26621851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 7. Suppose 2*c - 63 = -3*q + 18, 0 = 4*q - 5*c - 85. Suppose -1 = 3*d - 3*t + 14, 5*d - t + q = 0. What is y(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*s - 480 + 528 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 6:42 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**2\/3 - 37345*u\/3 = 0.\nAnswer: 0, 7469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(2)*3 + 2.\nAnswer: 2 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-10)*v)\/v**(-7))\/(v\/v**0)**(14\/9) assuming v is positive.\nAnswer: v**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0.2. Let b = -0.29999904 + r. Round b to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.55235 months in years?\nAnswer: 14.6293625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1008 - 1112.2. Let c = s + 104. Let d = 800\/7 + -114. Sort d, 5, c, 5\/4 in descending order.\nAnswer: 5, 5\/4, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-170 + 72*t + 170)*(0*t + 2*t - 4*t)*(2*t**2 + 2*t**2 - t**2) as u*t**4 + k*t**2 + h + r*t**3 + a*t and give u.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -95. Let v = -9 + c. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 711.953 - -6982.\nAnswer: 7693.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(6\/(-21))\/(24\/42).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + s. Suppose 11 = q - s. Calculate the common denominator of 85\/4 and q\/(-12) + (-2)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 7*i**2 - 9*i - 4. Let w be z(12). Let h = w - 157. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144206142.\nAnswer: 2, 16189, 35339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 131.\nAnswer: 5\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 4*r**2 + 5*r - 2. Let y be f(5). Let l = 4 + y. Solve -l*x - x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*a, 51*v + 5*a = 53*v + 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -799*r**2*s**2 + 15993*r**2*s - 6*s**2 - s wrt s?\nAnswer: -1598*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 - 3*r**3 - 2*r**3 + (-2*r**3 + 0*r**2 + 0*r**2)*(2 - 1 - 3) + (3 + 3 - 2)*(-3 + 3 - 2*r**3 + 5*r).\nAnswer: -6*r**3 + 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(0 + 0 + c)*(-12 + 16 + 32).\nAnswer: 72*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 3d5?\nAnswer: -3d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7 + f + 3*f - 6. Let q(i) = 3*i + 1. Give 5*l(t) - 7*q(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1606*d - 1584*d - 7656 = 0. What is the remainder when 713 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324 * -8\nAnswer: -2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**5\/12 - 5*h**4\/3 - 40*h**3\/3 - 3*h**2. Factor p(l).\nAnswer: -5*(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606335647?\nAnswer: 43, 14100829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*y - 2*i - 34, -62 = -5*y + i. Solve -14*c + y*c - 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from qqfwqffqffffz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 11*u**3 - 4*u**2 + 4*u - 3. Let t be l(2). Suppose 0 = 4*w - 59 - t. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(2\/5)*p*p))**(-23)\/((p**(-9\/4)*p*p)\/(p\/(p**(-9\/4)\/p))) assuming p is positive.\nAnswer: p**(413\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123)\/(-72) + 3000\/(-2250).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -237, -12835 in decreasing order.\nAnswer: -10, -237, -12835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 55\/2 of a millisecond?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -13, -29, -49, -73?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -509 (b) -1202 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 5*w**4\/12 + 5*w**3\/6 - 5*w**2 - 24*w. Solve o(m) = 0 for m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27165864 is divided by 2027?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4, -79 = -3*h + 7*z + 6. What is the least common multiple of 42 and h?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 77 + 58. Let v = 64 - c. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*s + 10284 + 6618. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662422.\nAnswer: 2, 17, 19483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -76, 1.9, -3, -33, 34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(170) + sqrt(170) + sqrt(170) + -2*sqrt(170)*3)\/(sqrt(160) - (sqrt(160) + -4*-1*sqrt(160) - sqrt(160))).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*x - 25. Suppose 0 = 45*k - 37*k - 128. Let p(y) = y**2 - 17*y + 25. What is the remainder when p(k) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = s + 2*v - 273, 2*s = -4*v + 562. Suppose m = -4 + s. What is the highest common divisor of 19 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:09 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rprr when four letters picked without replacement from ddrprrodooodgo.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3096*z**2 + 17*z**3 + 3142*z**2 - 22*z**3 - 12525*z**2 + 3143*z**2 + 3144*z**2.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**6\/18 + 8*c**5\/45 + 5*c**4\/18 - 16*c**3\/9 + 4*c**2 - 27*c. Factor p(w).\nAnswer: -4*(w - 1)*(w + 1)*(5*w - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2912, 2914, 2916, 2918?\nAnswer: 2920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Suppose d - x = 0, 6 = -z + 3*z - 4*d. Suppose -z*l + 3*l = 6680000. Round l to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11993 + 12013. Solve -20*g + 17*g - b = 5*j, 4*g = 3*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 9.4 (b) -4\/3 (c) 1\/9 (d) -1\/2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/36 - (-4)\/(-2). Let p be 39\/(-12) + 1 + 1. What is the biggest value in p, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*-4*sqrt(70)*-1*6)\/(((sqrt(720) - 2*sqrt(720)) + sqrt(720) + sqrt(20))\/((2*sqrt(24))\/sqrt(12))).\nAnswer: 1 + 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3749, 5\/9, -2\/19, 0.023 in descending order.\nAnswer: 5\/9, 0.023, -2\/19, -3749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 17 - 18*y + y**2 + 10*y + 7*y. Give o(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**3\/9 + 41326*f**2\/9 + 82666*f\/9 - 41330\/3 = 0.\nAnswer: -3, 1, 20665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001126676 rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/3)\/(((-179)\/(-895))\/((-4)\/(-10)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 = 11*s + 9*s - 16*s - 58, y + 52 = -3*s - 26 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**2 + 3*w + 5. Let j(v) = -2*v + 4. Let g(f) = 4*j(f) - 6*z(f). Give g(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 47*p**2 + 72*p + 7039. Calculate l(51).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-20\/3)*o)\/o*o*o\/o**25)\/(o**13*o)**(-3\/2) assuming o is positive.\nAnswer: o**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 259\/(-111) + 21\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 940 and 4780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n + 2. Let i be p(-2). Let g = -5 - i. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*c - 225 = -222, 0 = -2*k + 2*c - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72472 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: Simplify h**(2\/141)\/((h*(h*h*h**(-1\/10))\/h)\/h) assuming h is positive.\nAnswer: h**(-1249\/1410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-212)\/(-23))\/((-4)\/(-46))).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7226647?\nAnswer: 733, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.94948 days?\nAnswer: 514035072000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + -15. Let c = -8 - b. Let l = 15 + -9. Calculate the smallest common multiple of c and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 342.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - 515.467\nAnswer: -515.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-60)*6)\/((-2)\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 4:27 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 11. Suppose -5 = -h + 3*d, 6*d - 2*d = 4*h - 4. Which is bigger: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2131021 (base 4) to base 3.\nAnswer: 111210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**2 - 140*b - 30. Let p(x) = 96*x**2 - 2241*x - 495. Let i(f) = -33*a(f) + 2*p(f). Let c(r) = -2*r. Calculate i(c(l)).\nAnswer: -24*l**2 - 276*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -25*r. Let p(d) = 2*d - 45*d**2 + 42*d**2 - 2*d. Calculate p(t(c)).\nAnswer: -1875*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7642?\nAnswer: 2, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (231\/(-1155))\/(3\/20). Which is the closest to -1? (a) 2\/3 (b) h (c) -2\/311\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 20*r + 23*r + 2*r**3 - 17*r**2 - 7 - 32*r. Let v be a(8). Calculate the highest common divisor of v and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131615353?\nAnswer: 727, 181039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-135)*(9 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.63, 0.045, 1, 20, 1\/4, 0.2?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5626 < -40409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -b - 0*b, 6 = -3*h - 2*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1770*h = -t + 1769*h + 8, -24 = 5*t - 3*h. Solve 10*r + 2 + 18 = t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a kilogram in grams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450.0132 years to millennia.\nAnswer: 0.4500132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-60)*5)\/((-24)\/(-45)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1028692?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1320 - -2123?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3224, -6583, -9948, -13319, -16696, -20079, -23468?\n\"Answer: -3*w**2 - 3350*w + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1\/3 (c) 2\/5 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*(sqrt(931) + -1))**2*6.\nAnswer: -3024*sqrt(19) + 201312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*h**5 - 1253*h**4 - 737342*h**2 wrt h.\nAnswer: -4200*h**2 - 30072*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**2 + 1. Let n(w) = w**2 - 9*w + 12. Let u be n(8). Suppose 0 = -0*c + c + u, 4*p = -c. Determine j(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5588453881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2808, -5618, -8426, -11232?\nAnswer: -14036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(152) + sqrt(152) + (sqrt(152) + sqrt(152)*-1)*1)\/(sqrt(32)\/(sqrt(196) + sqrt(196)*1)))**2*-6.\nAnswer: -22344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 6*n - 24. Let r(y) = -13*y**3. What is the remainder when r(-1) is divided by w(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 3. Let x = -42 - -44. Suppose -5*r + 24 = -3*r + x*m, -2*r - 3*m = -29. Calculate o(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5513 - 1252 = -5*q, -4*h - 8 = 0. Let y = q + 126. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6823.86nm?\nAnswer: 0.00000000682386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -33384212\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4 - 6*n**2 + 4*n**2 - 8*n**2 + n**3. Let f be c(10). Is 50\/((f - 2)\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/7 + 1 - 37\/(-2849)*33.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*v - 41673 = 1040*v + 103024 + 65201 for v.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 6. Suppose 0*j - j = -90. Let q be (-4)\/14 - j\/(-21). What are the prime factors of c(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 7)*(-126)\/4. What is the units digit of (-385)\/(-9) - 28\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*k + 2*s - 302, 0 = 4*k + 26*s - 8*s - 9*s - 10*s - 119 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -62*i + 2. Let r(z) = -42*z + 2. Let a(y) = 2*l(y) - 3*r(y). Let x(w) = w**3 + 4*w**2 + w - 1. Let h be x(-3). Determine a(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f + 1 - 26*f + 9*f + 7*f - 21*f**3. What is u(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -6 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201 = 83*j + 1433 + 262 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 488 and 56852.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**2 - u**2 + 8*u**2 - 11*u to x + j*u**2 + y*u and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002825 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*v - 4, -11*i + 0*v + 113 = -5*v. Solve i = x + 3*l, -41*x - 4 = -44*x - 4*l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*j + 8, -2*j + 0 = -3*h + 4. Suppose h = -x + 4*k + 10 + 9, k = 2. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 10 + 18)*(44*d + 247*d - 463*d).\nAnswer: -2924*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7636 - -7638. Let p = -0.4 - -0.8. What is the nearest to r in p, -0.4, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40950 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 21. Let t(h) = 29*h + y*h + 26*h - 87*h. Calculate t(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (24 - 19) + 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 366 - 363. Let a(l) = 390*l**x - 2*l - 195*l**3 - 194*l**3 + 3*l**2. Calculate a(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 - l**2 + 0*l**2 - l**2 = 0. Calculate l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 20*s**3 - s**2 + 2*s - 1. Let x be b(1). Let a = x + -13. What is the remainder when 20 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 41*v**2 + 583*v - 206. Calculate u(11).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*6\/216*-16*(59 + -41)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -5 + 9 - 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 22 in ascending order.\nAnswer: -7, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 267978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7683086 litres in millilitres?\nAnswer: 768.3086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*s = s, l + 2*s + 6 = 0. Suppose -20 = 10*w - 5*w. Which is greater: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**4 + 180*t**3 + 1872*t**2 + 3888*t = 0?\nAnswer: -6, -3, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28577 + -28538. Solve 7*z - 74 = -x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17225443 - 25*h + 5*h + 17225443.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1148*i + 148 = 1150*i - 2*z, -3*i - 2*z + 232 = 0. What is the highest common factor of 3724 and i?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 3*q**2 - 149044 + 1780*q**3 + 149044.\nAnswer: 1780*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*q - 145*q - 11*q + 9139 = 0 for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61334 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 8:26 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 3:44 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1003, -1992, -2963, -3916, -4851, -5768?\n\"Answer: 9*o**2 - 1016*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Round -7128700 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*w + 49418 - 162388 = 14*w. Solve w = -22*r + 746 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7355966, 14711932, 22067898, 29423864?\n\"Answer: 7355966*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1110100?\nAnswer: -1110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snhnccnnscoshnsnhssp. Give prob of sequence nonh.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 844.44 + 5.56. Let p = h - 776.2. Let y = -74 + p. Put 0.1, 0.3, -7, y in ascending order.\nAnswer: -7, y, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97655.5 millennia to months.\nAnswer: 1171866000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/7 + 22102*p**2\/7 - 22100*p\/7.\nAnswer: -2*p*(p - 11050)*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -425, -430, -435, -440?\n\"Answer: -5*q - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.86815 + -0.13185. Which is the second biggest value? (a) -1\/7 (b) -2\/3 (c) -1\/32 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1745*u + 8*g - 24 = -1743*u, 4*u + 4 + 59 = g for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 - w**2 - 2*w. Let x(r) = -14*r**3 - 8*r**2 + 16*r. Give -6*b(k) + x(k).\nAnswer: -2*k**3 - 2*k**2 + 28*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275035 is divided by 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 2:45 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine halves of a micrometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/((-15)\/(-26)*(-35724)\/5496)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 557, 1089, 1607, 2105, 2577, 3017, 3419, 3777?\nAnswer: 4085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 - 2 - (-19 + 82 + -29 - -35).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2095 + 2100. Sort 4, 3, -112, a in decreasing order.\nAnswer: a, 4, 3, -112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**3 + 3*r**2 + 3*r + 3. Suppose 5*n - 5 = 5. Suppose -7*j + n*j = -30. Let m(o) = 44*o**3 - 26*o**2 - 26*o - 26. What is j*m(y) + 52*i(y)?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(1539)*-3).\nAnswer: -162*sqrt(19) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9186 + -0.0186. Is -3\/7 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61029354?\nAnswer: 2, 3, 17, 37, 103, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.08721 and 0.61142 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 205 = -79*w - 83 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2286, 2794, 3644, 4836, 6370?\nAnswer: 8246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/12, 0.1, 5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15 - -19) + 3\/(-1). Suppose 3*k = -22 + 55. Suppose -6 = -4*l + 2. Solve l*z = c - k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 415.2 - 460. Let r = -44 - b. What is the fourth biggest value in r, -5, 0.3, -2\/19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 218272 and 47747.\nAnswer: 1527904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -12, 97, 354, 819, 1552?\nAnswer: 2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 6\/(-3) - 31. Let s = v - -28. Let a(r) = 43*r**2 - r + 1. What are the prime factors of a(s)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 147, -39, -7 in increasing order.\nAnswer: -39, -7, 2, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -63\/2, 2\/15, 0.2 in increasing order.\nAnswer: -63\/2, -11, 2\/15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89706 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of ((-13479)\/(-5))\/(156\/260)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 93768*y. Let i(z) = -14*z**2. What is i(p(a))?\nAnswer: -123094129536*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-636)\/39)*8\/16. Which is smaller: 8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1039*i - 4*i**2 + 423*i**2 + 1039*i in the form d + h*i + y*i**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.5 - 1.456. Let y = c + 0.156. What is the third biggest value in -1\/7, y, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 1\/18*z**3 - 3 - 1\/12*z**2 + 1\/24*z**4 - 1\/6*z. Let w(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 3*z**2 + 3*z. Let t be o(-4). Let r = 30 + t. Solve -r*q + 12 = 4*n + n, 3*n = -5*q + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esbxes. Give prob of sequence ex.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -379 + 377 + (-1 - 8)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 494*n - 980*n + 491*n - 16, -2*c + 26 = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6858102 a multiple of 606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 y when three letters picked without replacement from {y: 2, b: 1, q: 3, f: 7, e: 2, g: 3}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 137582 or 0?\nAnswer: 137582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3836 - 3835. What is the third biggest value in -0.4, -0.17, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -15. Let y = w + -10.9999999. Round y to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + a + 1. Suppose -r - 6 = -0*r. Let h = r + 0. Let b(w) = 2*w**2 + 3*w + 3. Suppose 44 = 27*i - 10. Give h*v(p) + i*b(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*j + 3*n, -13*n - 8 = -9*n. Solve 5*u + 204*u**2 + 14*u - 12*u**2 - 15*u**3 - 94*u + 38*u**j = 0.\nAnswer: 0, 1\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 91 = 15. Let j = n - -62. What is the remainder when 47 is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 3*g**2 + g + 1. Let b be p(-2). Suppose -5*w = -b*w + 20. Let o be ((-16)\/(-20))\/(-2)*w. Put -9, o, 3 in decreasing order.\nAnswer: o, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/19, 4, -2, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5 = -3*m + 2*h, -2*h = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1271*u**4 + 16821*u**3 + 2*u + 99965579 wrt u.\nAnswer: -5084*u**3 + 50463*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = 2*w, 0*i + 4*i - 2*w + 34 = 0. Let m(p) = 15*p + 18. Let h be m(i). Let a be h\/(-21) + -2*(-12)\/(-56). Solve -2 = -a*z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16190646 - -1097.\nAnswer: 16191743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 9:21 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4.917 * 3\nAnswer: 14.751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 650*r - 53268. Determine h(393).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**5\/60 + g**4\/12 - 249*g**2. Solve r(d) = 0 for d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1174892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -303 + 303. Suppose d = -4*v - 119 + 163. Put 0, -1, v, -2 in increasing order.\nAnswer: -2, -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*o - 2 - 6 + 5*o**4 + 8 wrt o?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 0*z**2 - 4*z**2)*(-3*z + 3*z + z**2).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.185476849.\nAnswer: 0.370953698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -155.7 times -1?\nAnswer: 155.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 1374\/8 + (-21)\/28. What is the greatest common factor of s and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 7 + 4*v - 3*v - 2*v. Let a(b) = -b + 2. Calculate the remainder when w(5) is divided by a(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1187*p - 27*p**2 - 1187*p)*(p - p + 2*p**2) + (-5*p + 3*p - p + (-4*p + 2*p + 0*p)*(-1 + 1 - 2))*(20*p**3 + 0*p**3 + 16*p**3).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 302 or 303?\nAnswer: 303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5\/4*d**3 + 318*d**2 + 192 + 2045\/4*d = 0.\nAnswer: -1, -3\/5, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*b**2 - 9*b**2 + 15*b - 13*b**2 + 35*b**2 to the form l + v*b**2 + t*b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3 + 1 + s**2 + 2*s + 0. Let w be m(2). Let x(f) be the first derivative of -f**3\/3 + 9*f**2\/2 - 2*f + 6278. Determine x(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(28)\/sqrt(4)) - sqrt(80)*2)**2 + 3 + ((-1*sqrt(320))**2 + 1)*6 + 3.\nAnswer: 2177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**2*x))\/x)\/x)**(12\/11)*(x**(-1\/2))**(1\/9)*((x\/x**4*x)**48)**6 assuming x is positive.\nAnswer: x**(-115139\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 350\/(-20) - 2\/(-4). Let b = -14 - h. Let t be (-36)\/(-3) - (-5 + b). Is t greater than or equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 23. Let q be y(12). Let c be q\/3 + 200\/24. Suppose 4*w - c = 8. Calculate the least common multiple of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 18*s - 67. Give n(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 u when four letters picked without replacement from xxuxnllnufnxlxx.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 11:18 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 12 = -13*y + 17*y, 0 = -3*q - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d. Let q(x) = -x. Let z(b) = f(b) + 4*q(b). Let r(h) = -5*h. Let g(n) = 2*n. Let o(l) = 8*g(l) + 3*r(l). Determine z(o(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 + 3*n**2 + 5*n + 4. Let a be w(-2). Solve 4*c + 3*p = -16, c + c + a = -5*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 1. Let h(o) = -3*o**2 + 13*o - 4. Let k(l) = -c(l) - h(l). Let u be k(6). Let q = u + -67. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 282, 470, 672, 894, 1142, 1422?\n\"Answer: n**3 + n**2 + 178*n + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1264 + -1835. Let u = d + 566. Which is the nearest to 0.1? (a) u (b) 3 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*c - c. Let u(y) be the third derivative of y**6\/120 + 7*y**5\/60 + y**4\/4 + y**3\/3 - y**2. Let h be u(c). Let d(w) = -w**3 + w. Determine d(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*v = -36, 3*v = -19*a + 20*a + 12 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**5\/60 + 2*m**4\/3 - 8*m**3\/3 + 1010*m**2. Give l(9).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnununnnu. What is prob of picking 2 n?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104507223?\nAnswer: 3, 34835741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 35. Let b = -6 + 2. Is 14 a factor of b\/m - (-546)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 162 = h. Let i(a) = a + 28. Let r(d) = d + 29. Let y(j) = -4*i(j) + 5*r(j). Let q be y(h). Solve -4*n - q = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**5\/100 - k**3\/30 - 8*k - 6. Let c(s) be the first derivative of x(s). Solve c(i) = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d. Let r(t) be the second derivative of -4*t**4\/3 - 14*t. What is a(r(h))?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1583 = w, w = -r + 6*r - 7903. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s = -10. Let g(n) be the third derivative of 23*n**4\/24 - 11*n**3\/6 + 186*n**2. Let z(x) = 42*x - 21. Let j(p) = 11*g(p) - 6*z(p). Give j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(768) + sqrt(48) + -1.\nAnswer: -2 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.404 + -0.096. Which is smaller: j or 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 76, 84, 104, 142, 204, 296?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 14) to base 5\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6528994?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 11. Let v be 10 + (-5)\/(-40)*0 + -6. Solve 33 = -2*j + b + v*b, -y = -b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.24. Let a = 0.34 - u. Suppose 14 = 13*l - 25. Which is greater: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -14 + -10 + (48 - 24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2)*a*a**(1\/8)*a)\/((a\/a**(1\/4))\/((a\/(a*a\/(((a*a\/(a*a*a\/(a**(-2\/17)\/a)))\/a)\/a)))\/a)) assuming a is positive.\nAnswer: a**(-577\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 65, -28, -227, -538, -967, -1520, -2203, -3022?\n\"Answer: -x**3 - 47*x**2 + 55*x + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 375224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 - -10. Let d = 49 - m. Let n = -120.44 + d. Round n to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3 + 0 + 0 + 2 + (3 - 5 + 1)*(0 + 0 + 2) + 0 - 4 + 2 + 2 - 2 - 3)*(30*p**4 - 19*p**4 + 50*p**4).\nAnswer: -366*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*m = 15 - 63, 4 = m. What is the tens digit of (-3)\/(-21) + (-488)\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 306779460?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/4 (b) 1.9 (c) -1\/9 (d) 30\/7 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*m = 34 - 90, -5*m - 5 = o. Suppose 3*r - 85 + 14 = -2*c, -5*r - 4*c = -117. What is the greatest common factor of r and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/1)\/((-6)\/(-2) - -1). Suppose -8*y + 5*y - 1382 = -2*g, -r*y - 691 = -g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 746 - 459. Let b = 295 - u. Solve -3*m - b = -2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 9*h**2 - 6*h + 14. Let n be g(8). Calculate the greatest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 396993514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i - 2. Let d(f) = 18*f + 6. Let r(o) = -22*o - 4. Let l(u) = -2*d(u) - 3*r(u). Calculate j(l(w)).\nAnswer: 240*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4*1724\nAnswer: 6896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*5\/(-9)*12\/(-120)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.24563 rounded to one decimal place?\nAnswer: 16.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55532458 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 2*g**3\/3 - 86*g**2 + 3698*g - 31. Solve w(h) = 0 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -1) + -5*2\/(-13). Let z = -1 - -0.6. Which is the second biggest value? (a) z (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -235 and -0.19.\nAnswer: 44.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85488 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6333961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-3\/5)*u)\/u*u*u)\/u**35)\/(u**(7\/4)\/(u\/((u\/(u**(12\/5)*u))\/u))) assuming u is positive.\nAnswer: u**(-599\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/2*-4 - 0. Suppose 3445 = s + t*s. List the prime factors of s.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 8*t**2 - 4*t - 27. Let x(o) = -o**3 - 21*o**2 - 21*o - 28. Let c be x(-20). Let i be l(c). Suppose i*d = 34846 + 16639. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 1 - 2*v + 3*v + (3*v - 4*v + 2*v)*(-7 + 4 + 4).\nAnswer: 2*v - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11249249 to the power of 1\/2, to the nearest integer?\nAnswer: 3354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 11 - 23 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -2*r + 3*i + 64, -5*i - 343 = -4*r. Let x(u) = -6*u**2 + 35*u - 140. Let f be x(4). Let m = f + r. Let v(n) = n + 1. Determine v(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 - 3 - 31*o**2.\nAnswer: -31*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 898 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499 = i + l, -4*l + 1004 = 6*i - 4*i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szsssqyzqyyqqys. Give prob of sequence szzy.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 c, and 1 m when three letters picked without replacement from {y: 1, c: 6, m: 10}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*k + 71*k + 3124. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -23 + 3, 5*d = 3*n - 82. Suppose i - 2*q = -64, -5*i - 2*q = 229 + 55. Let y = 96 + i. What is the greatest common divisor of y and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3716 (b) 3\/5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 19374.5 (b) 2 (c) -1 (d) -2\/23 (e) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 49. Which is the closest to -0.9? (a) 5 (b) -1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - (-126 + 51)) + 19.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/4660350 and -149\/79225950?\nAnswer: 79225950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -1, 18340.\nAnswer: -7, -1, 1, 18340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 65599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -9*g**2\/2 + 10*g - 2. Suppose 0*q + 4*q = -36. Let y be u(q). Round y to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 10:43 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -345\/32 - -21733\/1952. Let b = -2212\/305 + s. Find the common denominator of 73\/16 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -7.287799?\nAnswer: -7.387799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*q = -189*q - 4752 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 367 divided by 1\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 682719, 2730861, 6144429, 10923423, 17067843, 24577689, 33452961?\n\"Answer: 682713*w**2 + 3*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3\/4 + 407*g**2\/2 + 817*g + 818 = 0.\nAnswer: -2, 818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -19*k + 3107. Calculate the least common multiple of i(153) and 420.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*((-16)\/(-10) - 2). Suppose -2*l - z = -8. Suppose -l*x = -x. Is -1\/2 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 16. What is the closest to m in -2\/3, -0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*v - 23705, -9*v + 14*v = -5*s + 59270. Suppose 8254 + s = 13*j. What are the prime factors of j?\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h - 4 = -34*h. What is the hundreds digit of (2\/h)\/(7\/(-77))*-11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 + 4*j - 1. Let f be x(3). Let r = -41 + f. Let n be (2\/(-6))\/((-4)\/r). What is the third biggest value in 2\/15, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 10) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7763, -15543, -23323, -31103, -38883, -46663?\n\"Answer: -7780*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4022 + -104?\nAnswer: 3615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451860 - 451860 - 40*h.\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 240013 (base 5) in base 4?\nAnswer: 2020312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3922?\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/((-128)\/(-22))*(-3)\/(-11).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*n - 2 - 1 + 14*n + 4*n to the form z*n + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9 + 1 - 8 - 1. Let f(k) = 2*k + 8. Let h(q) = f(q) - 8*y(q). Let v(a) = -17*a - 4. Let n(u) = 17*u + 3. Let m(w) = -4*n(w) - 3*v(w). What is h(m(x))?\nAnswer: -34*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*12\/(-396)*2\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*c - 2*c - 15, 2*a + c = 9. Let p(s) = s**3 + 7*s**2 - 96*s - 12. Let q be p(7). Solve -n + 9 = q*n, a = -2*d + 4*n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808660141 a multiple of 1243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -441827\/790350 + 30\/5269. Find the common denominator of u and 11\/15.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 0)*(23 + -18). What is the closest to 1\/2 in 1, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -759105 plus -1160?\nAnswer: -760265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4))**(-2\/29))**(-50)*(k*(k\/((k\/k**(3\/2))\/k))\/k*k*k\/(k*k**(-1\/9)*k*k*k))**(-3\/22) assuming k is positive.\nAnswer: k**(271\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7*y**2 + 410*y - 1331. What is l(57)?\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 18.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + m + 2)*(-10*m**3 + 6*m**3 + 6*m**3).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -57*q + 1. Let s be d(-1). Let l = 106 - s. Suppose -4*h + l = 2*t - 26, 4*h = t - 55. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*a - 6972 = -2403 - 2633 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 22*d**3 + 18*d - 12*d**3 - 8*d**3 to the form l*d**2 + h*d + x*d**3 + y and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 3*w**2 + 7*w - 1. Suppose -2*f + 22 = 10. Let u be k(f). Suppose -3*s + u = 6*i - i, -4*i + 118 = 3*s. Is 31 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*i**5 - 1166*i**3 + 30979*i**2 + 10*i?\nAnswer: 1680*i**2 - 6996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167229197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.1. Let z = -0.044 - 0.956. Which is the nearest to z? (a) 0.2 (b) j (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216881 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 divided by -7?\nAnswer: -321\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74660?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-856)\/34720 - 12\/(-168) and 163\/930.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, -2, -1.\nAnswer: -2, -1, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 469, -1, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-640)*(-4)\/(-5).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 19*h + 3 as g*h + s and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 10511?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4426.4 rounded to the nearest 100?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.3. Let z = u - -0.2. Let s = 0.71 - 0.21. What is the nearest to 0 in 3, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*u**2 - 18*g**3*v + 6*g**2*u**2*v + 3*g**2*u + 5*g**2*v wrt g?\nAnswer: -12*u**2 - 108*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/29816126?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**4\/12 + 13*l**3\/6 + l**2\/2 + 3*l. Let q be f(-13). Which is greater: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*c + c - 114, 3*v - 3*c = 117. Let d = 10 + -10. Solve d = 4*f - 5*g + v, 3*f = -f - 5*g + 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*v = -6*b - 28, 2*v = -4*b - 24. Let x be b\/(2 - 1) - 480\/(-144). Suppose 3*c + 29 = -4*p, 11 = -c - c - p. Sort c, 2\/5, x in ascending order.\nAnswer: c, x, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 30721*t**2\/5 - 6820068*t\/5 + 1332\/5 = 0. What is t?\nAnswer: 6\/30721, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*j, 2*f = -3*j + 2*j + 1. Let h = 2259 + -2258.8. What is the nearest to 0.3 in h, -5, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 840 by 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(-1 + (-77)\/42). Suppose x*k = 19*k - 28. What is the least common multiple of k and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/969 and 19\/72?\nAnswer: 23256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 27, -5\/6, -570, 5\/3, -5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25763*-0.3.\nAnswer: 7728.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/11 + 3996*p - 13861120\/11 = 0.\nAnswer: 320, 21658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14d (base 14) to base 3\nAnswer: -100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 246993767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86.7 - -86.3. Which is the second biggest value? (a) -3\/14 (b) s (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 909, 915, 931, 963, 1017?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 0.3 (b) -1\/7 (c) -5\/2 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from pmyyfyfppfmfpffpfff.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6580553?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybby. What is prob of picking 2 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 + 18*p**2 + 8*p**2 + 10*p**2.\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -328.70539 * -0.4.\nAnswer: 131.482156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 147*q**3*v**3*z + 2*q**3 + 3*q**2*v**2*z - 191*q**2*v*z + 2*q*v**3*z + 2*v**3*z + 2*v wrt v.\nAnswer: 882*q**3*z + 12*q*z + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -738*c**2. Let i(p) = -5*p. Calculate i(x(g)).\nAnswer: 3690*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/8 + 1101*y\/2 - 404067\/2.\nAnswer: -3*(y - 734)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 18*q - 2. What is the units digit of z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-5 + 1))*(-2)\/(-4). Let r(c) be the second derivative of -c**3\/6 - c**2\/2 - c. Let i(w) = w**2 + 3*w + 3. Determine a*i(u) + 5*r(u).\nAnswer: 2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lel when three letters picked without replacement from {l: 2, e: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/87606 and -11\/1116.\nAnswer: 175212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1274503 = 5*b - c, -27*b - 764709 = -30*b - 3*c. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 606 and 11211?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - n**4 - 2 + 2*n**4 + (-n - n + 3*n)*(5*n**3 - 3*n**3 - n**3).\nAnswer: 2*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 37*l - 42. Calculate the remainder when 91 is divided by p(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-10*-1*5. Suppose -3*n - 25 = -3*s + n, -3*s - n + u = 0. Let c = -12 + s. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44\/13 + 1021\/52. Let h = -164\/35 + 3646\/315. Calculate the common denominator of h and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114 (base 6) in base 13?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14299 = 149*f - 26070 for f.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*q = 5*v - 10007, 7*v = -2*q + 6664. List the prime factors of q.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4786, 9570, 14354, 19138, 23922?\nAnswer: 28706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-3 + 4 + 7) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 6*t = -16*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxcxaaamxxxxxxswxx. What is prob of sequence mx?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.829087 centuries to months.\nAnswer: 8194.9044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 3039970\nAnswer: -42559580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*p = -4*p + 3, 3*k + 3*p = -9. Let n(r) = -r. Let l be n(k). Is l - (-1 - (-1 - -55)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -16 - (25 - (19 + -4)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004906 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 121512160 divided by -55\nAnswer: -2209312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 + 8*s**2 + s**2 - 4*s**2 - s**3 to the form f*s + o*s**2 + d + v*s**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1728, -1723, -1718?\nAnswer: -1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254\/6199 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v - 1. Suppose 7 - 70 = -3*i. Let k = 3285 - 3299. Let t be k\/4*(30\/i - 2). Give j(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1418.8289 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -21\/32, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 11:14 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*v + 118*v = -2*d + 1058, 6*v = 24. What is the second biggest value in 4, d, -1\/4, -1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590464 is divided by 4962.\nAnswer: 4948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**3 - 225*a**2 - 1660*a - 1440 = 0.\nAnswer: -36, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 4*z**2 + z - 3. Let l be u(-3). Let r = 143819 + -143824. Which is the second biggest value? (a) l (b) r (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5371\/430 - -41\/215. Calculate the common denominator of y and (40\/(-56))\/((-234)\/315).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.56 rounded to one dp?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3744, -3958, -4332, -4878, -5608, -6534, -7668, -9022?\nAnswer: -10608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -3*f**5\/10 - f**4\/12 - 19*f**3 + 208*f + 2. Find the second derivative of s(g) wrt g.\nAnswer: -36*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/77 + 18\/77. Let t = 2.1 - 1.2. Which is the biggest value? (a) -3 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 12:12 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - ((1 - 1) + 1). Let h = 57.2 + -66. Let o = h - -9. Which is the biggest value? (a) 0.5 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 0, -5, -4, -44 in descending order.\nAnswer: 5, 1, 0, -4, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d**2 - 75*d + 147. Determine u(-20).\nAnswer: -1153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10471 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**2*t**3 + 16*c**2*t**2 + 2*c*t - 7*t**3 + 7 wrt c?\nAnswer: -6*c*t**3 + 32*c*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g**2*x**3 + 3*g**2 + g*x - 117*x**3 + 83*x**2 + 1 wrt x?\nAnswer: 30*g**2 - 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 34. Let z = 0.6 + 3.4. Let v = z + -1. What is the nearest to 2\/7 in t, v, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31120 + 3231?\nAnswer: -21223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 4, -15, -2\/3 in descending order.\nAnswer: 4, -2\/3, -0.8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313 (base 4) to base 12.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (sqrt(3) - sqrt(528)\/sqrt(11)) - (sqrt(72)\/sqrt(6))\/sqrt(4).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 5*y + 7, f = 26*y - 27*y + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -399 + 269. Let r = -125 - z. Suppose -2*s = 9*w - 4*w - 47, 0 = -3*s + r*w + 58. What is the highest common factor of s and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6288 + 0.3712. Which is the closest to 3? (a) -10 (b) 36 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1445 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/238 - ((-210)\/(-51) + -4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 11262741, 0.5, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9077 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 112?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 3817097494392?\nAnswer: 3817097494389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 2 - 3) + 2. Suppose 0 = -4*t + f*p + 95, 5*t - p - 85 = t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + 19. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -86559.3?\nAnswer: 86559.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a - 15. Let l be q(-6). Solve -l - 17 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 24*s. Let n(b) = 1482*b**2 - 117*b. Let o(a) = -51*a**2 + 4*a. Let g(i) = -4*n(i) - 117*o(i). Determine g(m(h)).\nAnswer: 22464*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13915 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -19. Let f be 56\/(-2)*r*11\/22. What is the highest common factor of 63 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 11:33 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -446899, -893773, -1340627, -1787461, -2234275?\n\"Answer: 10*r**2 - 446904*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 - 100. Suppose 2*k - 195 = -3*k. Suppose -k = -3*l + t*y, 54 = 2*l + 3*l - 3*y. Calculate the least common multiple of l and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -17632*y - 70591. Give v(-4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 6504.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v - v - 5*v + (2942*v - 317*v - 301*v + 986*v)*(3 - 5 - 1).\nAnswer: -9938*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -109345 * -30\nAnswer: 3280350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4838 is divided by 138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -141 - (1 - (-6)\/(-9)). Let x = 140 + u. What is the closest to -0.1 in x, -4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - o. Let l(v) = 7*v**2 - 4*v + 4. Let w(s) = -l(s) + 4*t(s). What is the first derivative of w(y) wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*o + 896 + 125 + 1339 = 0 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1896500 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 575 - 571. Let o be (-6 - 26\/(-4))*q. Suppose 3*x - 4 - 8 = 0. Solve -b + x*h + 0 = 9, -o*b + 4*h = 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3202333 - -11?\nAnswer: 3203010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1678 by 839.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60744 = 24*d + 58056 for d.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 29. Let j(u) be the second derivative of -19*u**3\/6 - 41*u**2 + 52*u. What is the lowest common multiple of j(-6) and h?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 4:45 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3673579 smaller than 3673579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + y + 115*y**3 + 0*y - 119*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 5*s - 58 = 9*i, -6*i = -3*s + 29 + 16 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1674 divided by -1.\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Let q = 3 - o. Suppose 2*r + 4*i + 18 = 0, 3*r + 4*i = -0*r - 17. Calculate the remainder when q is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1315941 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + -1)*1\/2. Let w = -8 - -24. Calculate the remainder when w is divided by (-84)\/(-15) + l\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1142 divide 185202825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 0*b + 2*b + 6. Calculate r(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 2*g**3\/3 - 21*g**2\/2 + 17*g + 3414. Determine u(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 + -5 + 6 + (7 - -6) + 0.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/8 - -1)*0. Suppose t = -3*j + 53 + 100. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1335*l**3 + 2*l**2 - 2*l**2 + 1340*l**3 - 2674*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/15 + -8\/15. Which is the second smallest value? (a) -1\/8 (b) y (c) 0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -596*h**3 - 2*h**2 + 88*h - 11150147.\nAnswer: -1788*h**2 - 4*h + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 7*s**4\/12 - s**3\/2 + 7*s**2 + 55*s. List the prime factors of a(7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 5*l. Let p be g(-5). Let o(t) = -t - 3. Let f be o(p). Let b = 6 + f. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 126*k - 44. Calculate the remainder when p(2) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 43*t - 2. What are the prime factors of b(1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*k + 1349 = 453. Let w(m) = -m**2 - 4*m + 2. Let d = -2 + -2. Let l be w(d). Sort 5, 0, l, k.\nAnswer: k, 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Suppose -2*d - b + 1 = -2*b, -37 = -4*d - 5*b. Suppose 0 = d*w, -w = -3*n + 3*w + 15. Solve -n*k = -s*z + 5, -z = -3*k - 6 - 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17157 + -7846. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. What is the fourth smallest value in x, -3, -2\/3, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 103*k**2 - 305*k + 503. Give a(100).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 32*p + 37. Let x be d(6). Let k = x - 80. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**4\/2 - 1. Let l be w(1). Solve -3*v - 4*i = 9 - 27, 1 = l*v - i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006176 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.49 + 0.48862. What is r rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26562 and 216923.\nAnswer: 1301538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 52646\/209 + (-4)\/(-38). Let w = 264 - m. Solve 65*n = 69*n - w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -21b?\nAnswer: 21c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 + -108. List the prime factors of t + 8 + (-4905)\/(-9).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85576 and 4769.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 56?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let p(g) be the first derivative of 60*g**2 + 714. Determine p(t(l)).\nAnswer: -120*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 27*m**2 + m. Let o(l) = -2*l + 20. Give h(o(z)).\nAnswer: 108*z**2 - 2162*z + 10820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 16920288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -90 - (-3 + (46 - 36))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201300 (base 4) to base 5.\nAnswer: -200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 3*d**4\/4 - d**3\/2 + 3*d**2\/2 - 7*d. Let j be h(2). What is the highest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-1370)\/(-110) + (-4173)\/(-5775) - (-10)\/(-175).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.45 - -2.88. What is s rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 1) + 40\/4. Suppose -14 = 4*k + w. Let q(g) = 2*g + 8. Calculate q(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30820 = -0*v - 2*v - 4*y, 61575 = -4*v + 5*y. Round v to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 14*z - 81. Let f be s(11). Which is smaller: 5 or f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*k - 200513 + 199523 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 393\/49 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2558.2336 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.459 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*i**2*t - 201*i*t - i wrt i?\nAnswer: -112*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33557, 67103, 100637, 134153, 167645, 201107, 234533, 267917?\nAnswer: 301253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 29*t**6\/120 + 13*t**5\/60 + 5*t**3\/6 - 44*t**2 + 1. Find the third derivative of z(x) wrt x.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-50) + 2\/28?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 999*t = 997*t - 96. Are t and -46 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 37.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1223, 4376, 9639, 17018, 26519, 38148, 51911?\n\"Answer: l**3 + 1049*l**2 - l + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 49*v - 5*v**2 - 49*v. Let r(o) be the first derivative of 4*o**3\/3 + 11. Calculate r(m(p)).\nAnswer: 100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1109931726 less than 2?\nAnswer: 1109931728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13669332 less than 13669332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - 67. Solve t*i = 1 + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uccu when four letters picked without replacement from ciujjijuuccjujcjju.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2005 + 8.8005. Put -0.13, r, -0.1 in decreasing order.\nAnswer: r, -0.1, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 6*z - 3*z)*(2 - 2 - 2*z) - z**2 - 4*z**2 + 23*z**2 + 2*z**2 + z**2 - 2*z**2 to n*z**2 + k + s*z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u + 25. Let j be x(-7). Suppose 3*b - 192 - 1318 = -5*n, -4*b + 2024 = j*n. Suppose -10*f - b = -13*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - 4*j**4 + 16*j**4 - 10*j**4 + (-j**2 + j**2 + j**2)*(-j**2 + j**2 + 3*j**2).\nAnswer: 5*j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9286521793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 2 - (10 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 90300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 at least as big as 6145\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 - 6*k**2 - k**2)*(-7*k - 5*k + k) + (4*k**3 - 3*k**3 - 2*k**3)*(-1 + 0 - 1) to the form t + g*k**2 + f*k**3 + l*k and give f.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c - 45. Let s = 60 - 54. Let b be f(s). Is 161\/1 - (b - -3) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*o + 3 + (-3 - 1 + 3)*(-2*o - 4*o + 4*o))*(8*o - 4*o + 10*o)*(-28*o - 24*o + 61*o).\nAnswer: -126*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6 - 18\/(-40)*11778\/1359?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 0.3 (c) -0.11 (d) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7941, -29\/6, -1.7 in descending order.\nAnswer: -1.7, -29\/6, -7941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 4. Let x(n) = -n**3 + 4*n**2 + n - 1. Let c be x(4). Give o(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s + 3*s + 0*s + 3*s**2 + 1. Let d be y(5). Suppose 3*j - 4*c - d = 0, -j + 2*c + 10 = 3*c. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 45489986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/5576 and -95\/7888.\nAnswer: 323408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*n**3 - 312*n**2 + 7*n + 15.\nAnswer: -60*n - 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from zotozpzoouuumu.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 42*l**2 + 38*l + 167. Determine r(-41).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6 + z - 7 + 1. Let q(s) = -s. What is q(v(h))?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11120*s**5 - 1096*s**2.\nAnswer: -667200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.09566 years in millennia?\nAnswer: 0.02009566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - -13. Suppose 3*y - 57 + 21 = 0. Let d be ((-80)\/y)\/(-1*2\/6). Calculate the greatest common factor of d and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r. Let j(z) be the third derivative of 1\/12*z**4 + 0*z**3 + 0*z + 0 - 2*z**2. Give j(n(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*r, 6 = 3*l + r + 2. Suppose 169 - l = 4*f. Calculate the greatest common factor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -2\/1533 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-231)\/12*(-25)\/((-1925)\/66))\/((-78)\/(-312))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3\/21 - 46*j**2\/21 + 146*j\/7 - 180\/7 = 0. Calculate j.\nAnswer: -18, 3\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 351, 352, 353, 354?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 - -65. Let h(w) be the second derivative of -3*w**5\/20 - w**4\/6 + w**3\/2 + w**2 - w. Let c be h(o). Is 12 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/156)\/(4\/(-75)*10\/12)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -80, -168, -220, -218, -144, 20, 292, 690?\n\"Answer: 3*l**3 - 109*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1982 - -2223. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 + 8*h + 12. Let a(v) = -v**2 + 1. Let d(j) = -5*a(j) + p(j). Let k be d(-7). What is the nearest to k in 2, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -14*m**2 + 7. Let v(a) = -7*a + 63. Let u be v(8). Let d(x) = x**2 - 1. Give u*d(b) + l(b).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 387, 7, 1, 2 in ascending order.\nAnswer: 1, 2, 5, 7, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -33*c + 14. Let m be l(-11). Suppose 0 = -3*o - d + m, -2*d = d + 12. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(((-6)\/40)\/(180\/75)). Calculate the highest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1476639*w. Let t(s) = -s. What is n(t(v))?\nAnswer: -1476639*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 5*p - 2*u - 212, 0 = 3*p + 2*u - 4594 + 4506 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 70*n - 85. Let m(h) = 4*h + 6. Determine 12*m(x) - q(x).\nAnswer: -22*x + 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -15*l + 13*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 v when four letters picked without replacement from svsgsvosvgnovqgsss.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**3\/3 - 5*d**2\/2 - 5*d + 66120. Suppose -6*b = -2*b - 28. Determine s(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -65, -194, -417, -740, -1169?\n\"Answer: -k**3 - 41*k**2 + k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/63 of a week in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180204620 and 2075?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003203 to five decimal places.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 10*k**2 - 14*k**2)*(0 + 4 - 5).\nAnswer: 23*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -5, 1 in descending order.\nAnswer: 1, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 990 + -972. What is the remainder when 355 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346639, 693262, 1039883, 1386502, 1733119, 2079734, 2426347?\nAnswer: 2772958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/967170 and -73\/10445436.\nAnswer: 52227180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -18*j - 68. Suppose -2*u = -15 - j. What is the highest common divisor of 176 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -450 divided by 9\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**4\/4 - 5*h**3\/3 + 5*h**2\/2 - 2*h + 6. Let z be p(4). Let g(l) = -2*l - 2. Determine g(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 6. Suppose 5*s - x*h = 28, 5*s + 3*h = 3*s + 2. Is 2 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/847 and 127\/15246.\nAnswer: 15246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(-52)\/((-416)\/(-32)) - 77\/(-44)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32284218?\nAnswer: 2, 3, 67, 80309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.3. Let m = -32594 - -32622. What is the fourth biggest value in 3, 4\/3, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-542*n + 318*n - 100*n)*(-3*n**3 + 5*n - 5*n)*(2*n - 2 + 2).\nAnswer: 1944*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/5*(-40)\/(-6). Suppose 2*c - 8 = 2*i - i, 4*i + o = 2*c. Solve -2*z = -4*z + c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/33906 and -97\/17122530.\nAnswer: 17122530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -2*j**3 - 3*j**2\/2 + 3*j. Let m be i(-4). What is the highest common factor of m and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence viiv when four letters picked without replacement from {g: 4, e: 5, i: 2, v: 2, a: 7}?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 3. Let b be c(-3). Let f = 35 + b. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 1\/9 (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/102*(72\/(-1))\/(-12).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.297 rounded to one decimal place?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.9*0.8.\nAnswer: -3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91? (a) 0.5 (b) -2\/21 (c) 0.176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1961*p = -2115*p - 4158 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + d - 34*d**2 - d**3 + 34*d**2 as i + k*d + a*d**3 + j*d**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/411?\nAnswer: 1\/411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -3*l + 20. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 712\/(-56)) + (-4)\/(-14). What is the highest common factor of w and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262503649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 10\/64849?\nAnswer: 10\/64849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - 4*a - 6*a - a**2. Let q be g(-7). Differentiate 0 + d + q*d - 2 + 10 with respect to d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -43*j**2 + 1. Let y(b) = 17*b**2 + 9*b + 234. Let v(u) = -4*u**2 - 2*u - 52. Let r(f) = 9*v(f) + 2*y(f). What is q(r(t))?\nAnswer: -172*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.677 + -1.377. What is the fifth smallest value in 2\/3, -5, -6, n, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o - 4. Solve k - 23 = -2*r - 2*r, 3*r - o*k = 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0533 + 254.0533. Let x = 116 - y. Let i = -137.9999655 - x. What is i rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - v + 15 = 0, -864*d = -859*d - 3*v + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 260 = -h - 7*s, 5*s + 1300 = -5*h. Let x be (-4)\/10*h\/48. Let z = -17\/6 + x. Is 2\/5 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 188 + -192 - (0 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 42*l**2 + 109*l + 15. What is the remainder when 423 is divided by r(18)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32212, 128938, 290158, 515878, 806104, 1160842, 1580098?\nAnswer: 2063878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 257\/332 + 4*(-51)\/272?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2*m)**(3\/11)*(m\/(m\/(m**(1\/4)\/m))*m)**(1\/87)*(m\/(m*m**1)*m**0)**(-5\/7) assuming m is positive.\nAnswer: m**(41141\/26796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*t**4 + 875*t**3 - 4884*t**2 + 44528*t\/7 + 85184\/7.\nAnswer: -(t + 1)*(7*t - 44)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 165487 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.36, 1\/22, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 14*r**2 - 3*r - 3. Let q be (-13)\/11 - ((-36)\/(-44) - 1). Let l be b(q). Suppose l*a = 12*a + 8. Solve -m - m - a = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.972282 micrograms in nanograms?\nAnswer: 6972.282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 306\/13 + -1830\/91. Find the common denominator of u and (11\/(-5))\/((-6)\/(-10)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*o. Let m be (0 - 0) + (-12 - -2). Let d be (-2)\/m + (-2)\/10. Solve o = -h - b + 6, 2*h = 4*b - 18 - d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227612, 227610, 227606, 227600, 227592, 227582, 227570?\nAnswer: 227556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w + 1 - 106*w - 3.\nAnswer: -83*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 12 + 11517*v**3 + 16*v**2 - 5760*v**3 - 5755*v**3 to m*v**3 + i*v + x + u*v**2 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377*v + 1926 = 395*v. Which is the nearest to v? (a) -1 (b) 0.2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -579\/95 - -112\/19. Is v >= -4.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24030c2 (base 13) to base 2.\nAnswer: 101010100001000101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 1261021*o + 5*o**3 + 1261034*o - 3 + 4 - o**4 + 5 to the form q*o**2 + w + a*o**3 + k*o**4 + u*o and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-8 + (7 - -3) + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 375, 708, 1041, 1374, 1707, 2040?\nAnswer: 2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uunynouyo. What is prob of sequence nyy?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10608 = -5*a + 4787. Let o(p) = 3079 + 9*p**2 - a. Let k(s) = -2*s + 4. Let n(i) = -2*i + 3. Let m(j) = 3*k(j) - 4*n(j). Determine m(o(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4*m = 6*m - 6, 0 = 3*m - 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -0*c + 46*c. Calculate the smallest common multiple of 393 and c.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 + 5*t**5 - 3*t**5 - 3*t**5 + 6*t**5 - t**5 + (t + 4*t + 0*t)*(5*t**4 - t**4 - 5*t**4).\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w - 2. Let i be 1\/(-2) - (-12)\/(-8). Let d(f) = -5*f + 1 + 0*f + 1. Suppose -4*j + 3 = -3*j + 2*c, 0 = 3*j - 3*c + 18. What is i*d(q) + j*a(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s. Let v(i) = 241270*i. Determine v(o(f)).\nAnswer: -723810*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 + 131. Let h be q\/((-3)\/(-1659)) - 0\/1. Suppose -847 - h = -10*r. 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 -3688 less than -487180979?\nAnswer: -487177291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - k - 5. Let g be z(0). Let f be -1*1\/2*(-34)\/(-85). Which is the fourth biggest value? (a) -2\/7 (b) 8 (c) g (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10213953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 1:43 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 148, 223, 290, 349, 400?\n\"Answer: -4*r**2 + 87*r + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 3. Let l be z(7). Let p = l + 17. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 5. Let c be g(-6). Let j = 9 - c. Suppose 5*x + b - 4*b + 34 = 0, b = -j*x - 7. Sort 5, x, 1 in descending order.\nAnswer: 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 364028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -5 + -3 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*h + 266 = 26*h - 3163 - 2677 for h.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k + 2. Let b(h) = -12*h + 9. Let l be 3\/(-2) - ((-10)\/(-4) - 2). What is l*b(o) + 9*p(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*g**3)*(-1 - 1 - 12 - 2)*(-3 + 8 + 10).\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/41, -0.07, -1\/2, 9, 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1\/3, -386, 2\/7, -133?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31929439 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:05 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from diiruidru. Give prob of sequence uuir.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 627 - 625.9. What is the third biggest value in -0.2, 0.5, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**8\/336 - h**5\/30 - 3*h**2. What is the third derivative of i(u) wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1073441925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113840 is divided by 869.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 21 = -3321*w + 3318*w, 0 = 5*o + 3*w - 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 109*n + 4. Suppose 5*o - 12 = 3. Is j(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41180 and 131776.\nAnswer: 658880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -4*w + 3*q, 47 = 4*w - 2*q - 55. Calculate the remainder when 95 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/(119\/70)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 1185 = 102*o + 8*o - 2*i - 0*i, 15*i + 17 = 3*o + 19*i for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2980 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 980\/(-504)*(-27060)\/(-3157)?\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((43 - 43 - 44*y)*(1 - 4 + 5) + y - 2*y - y + 3*y + 2 - 2)*(-2 - 35 - 43) as x*y + g and give x.\nAnswer: 6960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22990, 45980, 68974, 91972, 114974, 137980, 160990?\n\"Answer: 2*u**2 + 22984*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u**(-2\/3)\/u)\/u))**(-12\/17))**(-47)\/(((u\/(u*u\/u**(2\/3)))\/(u**5\/u))\/((u**(-5)*u*u)\/(u**(-1\/2)*u*u))) assuming u is positive.\nAnswer: u**(12391\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36105733047 rounded to five dps?\nAnswer: -0.36106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7475650 divided by 7475650.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1772, -3535, -5310, -7103, -8920?\n\"Answer: -y**3 - 1756*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2717 - 1571 - 3033)*(-q - 3*q + 2*q) to i*q + k and give i.\nAnswer: 14642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-6))\/((-19)\/228*-15). Put -57, 5, x, 0.3 in increasing order.\nAnswer: -57, x, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 12 = -0*l. Let a(d) = 3*d - 6*d + 0 - l + 0*d. Suppose -2*p + 6 = -5*p. What is a(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - z + 1. Let y be j(1). Let b be -2 - (2 - 2\/1). Let o = y - b. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3 + 19. Suppose 0 = 4*m - h + 5, j*m = 2*h + 2 - 4. Let x = m - -8. Calculate the remainder when 16 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h + 3121 = 3*q, -77 = -2*q + 2*h - 199 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*(0 + sqrt(432)))**2 + 6*((sqrt(432)*2)**2 + sqrt(432)) - (-1 + (sqrt(432) - sqrt(432)*2) + 2)**2)*4 + 1.\nAnswer: 384*sqrt(3) + 46657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.0343624?\nAnswer: -0.1374496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3126939 rounded to four decimal places?\nAnswer: -0.3127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k + 15*k**2 + 8*k**2 - 22*k**2 - 1 + 0*k. Suppose -l + 13 + 10 = 0. Suppose 3*g = 4*q + l, 0*g - q - 12 = -2*g. What is x(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7635 divided by 509\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -1074550532563202*p**3 + 4298202315686400*p**2 - 741734376*p + 32 = 0.\nAnswer: 2\/23179199, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -18*w - 11*w + 48*w - 1 - 18*w. What is g(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1616*n**2 + 316 - 318 - 1617*n**2.\nAnswer: -n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-5 - 2) + -99 + 95\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*u - 2*g, g - 2*g - 28 = -5*u. Find the second derivative of 0*t - 2*t - u*t**3 + 2*t**3 wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*t - 8 + 4 = 0, -t + 8 = -4*f. Suppose 4 = -v - 2*k + 6, 1 = v + 3*k. Let c = -7 - -2. Sort f, v, c in increasing order.\nAnswer: c, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*m**3 + 2*m**4 + 13*m**3 + 2*m + (12*m**2 + 6*m**2 - 55*m**2)*(2*m**2 + 5*m**2 - 4*m**2) - 3*m**4 + m**4 + 3*m**4.\nAnswer: -108*m**4 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 - 2. Let r = 1136 - 1139. Let z(c) = c**2 - 1. Determine r*s(u) + 6*z(u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 - 0.7. What is the second smallest value in -3, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, 1\/2, 22, -0.041 in descending order.\nAnswer: 22, 1\/2, -0.041, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 o when three letters picked without replacement from qccqqqqcoqccqoqqqqz?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1405 + 2303. Round b to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14801 and 0.3?\nAnswer: 14800.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3\/5 + 64*y**2\/5 + 416*y\/5 + 768\/5 = 0.\nAnswer: -24, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 132?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 82 + 40 - 12009*g.\nAnswer: -12009*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010586 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/5)\/(81\/(-270)). Solve -i*r + r = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + g = -g + 27338, 0 = -4*l - 3*g + 54676. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 + 27*o**4 + 69*o**3 + 45*o**2.\nAnswer: 3*o**2*(o + 1)*(o + 3)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omxd when four letters picked without replacement from dmmxo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -13*j + 22. Let c(k) = 13*k - 23. Suppose -20 = -3*p - 5. Let a(f) = p*c(f) + 6*x(f). What are the prime factors of a(-5)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.36 - 5.36. Let f(j) = j - 2. Let m be f(4). What is the closest to o in 5, m, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*sqrt(143)*4 - sqrt(143))*-4)\/(sqrt(11) - sqrt(110)\/(-4*sqrt(10)) - 6*sqrt(66)\/sqrt(6)) + -3.\nAnswer: -3 + 528*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1501 (base 7) to base 13\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 117374, 117362, 117350, 117338?\n\"Answer: -12*v + 117386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 12 + 8. Suppose 3 = z, 0 = -6*c + c - 5*z + 60. Suppose 0 = 6*l - c*l. Solve l = -v*y + 17 + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*(-15)\/(-42) - 3. Sort g, -1, 3.\nAnswer: -1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-88)\/(-28) - 3) + 0. What is the biggest value in 0.1, -0.4, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3642347 + -2455206. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7922700?\nAnswer: 2, 3, 5, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1511\/5264 - 1\/752. Solve -2\/7 - 4\/7*m - k*m**2 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 4*f + 4*w, 3*w = 4*f + 37 - 283. Suppose n = 6*n - f. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 6*p + 2. Let w(k) = -2*k**2 + 5*k + 2. Give 4*b(l) - 5*w(l).\nAnswer: 2*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.4 + -5.72. Let d = -0.82 - n. Let o = 19 - 23. What is the third biggest value in d, -1\/12, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -761*y**6\/30 + 202*y**4\/3 - 173*y + 2. Find the third derivative of d(h) wrt h.\nAnswer: -18264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 3*c**4\/4 + c**3\/3 - 11*c**2 - 8*c + 72. What is the hundreds digit of k(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 o, and 2 v when four letters picked without replacement from vooaovoooaaa?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 1:42 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 70311 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 550 + 28a9?\nAnswer: 3019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**6 + 227*l**5 + 4*l**3 - 46*l**2 + 13.\nAnswer: 240*l**3 + 13620*l**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (657\/18)\/(-73) - (-74)\/144. Let i(n) be the second derivative of 0 + l*n**4 + 1\/12*n**3 + 1\/6*n**2 + 14*n. Factor i(c).\nAnswer: (c + 1)*(c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*v = -24, -4 = v - 0*v. Let u(a) be the second derivative of a**4\/12 + a**2\/2 + a. Does 2 divide u(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3 = -2*i, 97*i = 3*f + 99*i - 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/((sqrt(847) - (sqrt(847) - ((sqrt(847)*-4 - sqrt(847)) + sqrt(847)))) + sqrt(847)))\/(sqrt(48)\/(sqrt(384)*3 + sqrt(384))).\nAnswer: -32*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 7*g**2 - 2. Let h be x(7). Let z be h\/(3\/(30\/(-4))). Let m = -0.9 - -1. Which is the third biggest value? (a) -2 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.8 - -2. Let x(u) = -u**3 - 4*u**2 + u + 2. Let j be x(-4). Let d be (j\/(-5))\/((-24)\/15). What is the closest to d in 4, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 0*y**3 + 0*y**6 + 26\/3*y**4 + 0*y**5 + y + 191\/56*y**8 - 35 + 0*y**2 + 0*y**7. What is the third derivative of h(d) wrt d?\nAnswer: 22920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125738264 and 1808?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6838495.62 rounded to the nearest 100?\nAnswer: 6838500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -4\/5 (c) -22 (d) 1\/9 (e) 5 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + (sqrt(156)\/sqrt(4) + sqrt(39))\/sqrt(3) + 5 + (1*-3*sqrt(117))\/(sqrt(18)\/sqrt(2)*6))**2.\nAnswer: 21*sqrt(13) + 313\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-12)*(((a*a**13*a)\/a)\/a)\/a*(a**(2\/3))**(14\/9) assuming a is positive.\nAnswer: a**(28\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-28))\/((-576)\/168)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*(-1)\/(-2) + 7. Suppose -f*d - l = 2 - 6, -9 = 2*d + 3*l. Let c(b) = -b + 5. Let z be c(6). Sort z, 0, d.\nAnswer: z, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 2 - 38 - (-1 - 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56462 by -518.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/84 and 11\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3743, 3745, 3747, 3749?\n\"Answer: 2*k + 3741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 5426*h**2.\nAnswer: 2*h**2*(h - 2713)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -273*b**2 + 21576*b**4 + 3428*b**2 - 10002*b**4 - 10173*b**4 wrt b.\nAnswer: 33624*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -199630*y**2 + 195089 wrt y?\nAnswer: -399260*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6111106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 i, and 1 f when three letters picked without replacement from {p: 3, o: 1, i: 1, f: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 728124, 728123, 728122, 728121?\nAnswer: 728120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-784)\/(-70) - -28\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -44. Suppose 5*i - 13 = 4*p - 58, 0 = -p + 5*i + 30. Suppose -4*r + p*r - 14 = -a, 2*a + 4*r = 28. What is the remainder when g is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8844850*k**4 + 8491545*k?\nAnswer: 106138200*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -v - 7, -3*v + 4*v = 5*k - 51. Suppose -n + 2*n = k. Which is smaller: n or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/32*18*8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + -3.6. Which is the second smallest value? (a) 3 (b) 3\/4 (c) t (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -2 - (0 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x. Let o(w) = 3*w. Let f(a) = 13*a. Let p(z) = z + 2. Suppose -4*r + 23 = -5. Let q be p(r). Let v(d) = q*o(d) - 2*f(d). Calculate v(c(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 4. Let s = 3 + -2.5. Let f = s - a. What is the third biggest value in 5, -0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2, 0.05, -3\/2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 - 8*k**2 - 5*k**2 + (4*k - 2*k - 3*k)*(5*k - k - 3*k).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813 is divided by 172.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b1746e + 13?\nAnswer: -b1745b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + 2*4*(sqrt(1331) + (sqrt(1331) - -3*sqrt(1331))*4)**2*-4).\nAnswer: -36927255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 387 = 2*r, 0*a = 5*a - 4*r - 411. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 16 + 25)*(9*d + 5*d + 2 - 18*d).\nAnswer: 52*d - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1130*n**2 + 3*n + 185?\nAnswer: -2260*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7691 (base 12) to base 11.\nAnswer: 9901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8\/3, 0.2, 5, -1\/66553?\nAnswer: -1\/66553","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -132.00235?\nAnswer: -132.00235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3227953\/482 + 6697. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 563 - 1820. Is q\/(-4)*8\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 200390*i**4 - 38*i**3 - 276346*i + 44 wrt i?\nAnswer: 2404680*i**2 - 228*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4077259 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2287535 is divided by 81695.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*y**4 + 79 - 79 + (-y**4 - 3*y**4 + 0*y**4)*((0 + 1 - 2)*(-5 + 3 + 4) - 8 + 1 + 2) as g*y**4 + d + k*y**2 + t*y**3 + u*y and give g.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 10 - 115893*b**3 + 5.\nAnswer: -115893*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1364 is divided by 681.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(42)\/sqrt(6))*-5 - (3 + sqrt(252)).\nAnswer: -6*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5179\/2 - -2588. Sort l, 5, 1, -2\/9 in descending order.\nAnswer: 5, 1, -2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 15*x - 14. Let h be o(1). Does 17 divide (6 + 0)*1\/h*707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.089282261 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:51 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -12*u**3 - 29*u**2 - 24*u + 192. What are the prime factors of g(-10)?\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -213452 - 1144542?\nAnswer: -1402434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 2\/105*w**5 + 1\/420*w**6 + 0 + 12*w + 0*w**3 + 3*w**2 - 5\/84*w**4. Find n, given that j(n) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 423*1022650.\nAnswer: 432580950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txut when four letters picked without replacement from xxucxxtt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3859*p = -3970*p - 1443 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -50. Solve q - 3*c = o, -2*c - 1 = 2*q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 22*p - 3 - 14*p + 1 + 1. Give a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35\/(-15) - (-4)\/(-6). Let x(d) = d + 3. Let z be x(g). Is (z - 1) + 75\/3 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(612))**2)*-2 - 6*(sqrt(17) - sqrt(1377)*1).\nAnswer: -1226 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 88 = -4*l - 2*j, -8 = 2*j. What is the lowest common multiple of l and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + f + 1 = 0, 202*f + 23 = -4*s + 205*f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -156*l - 6859. Let n be g(-44). Solve -n*y + 6*w = 3*w + 15, -15 = 5*y + 5*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*y + 5*y. Let r be y*-5*(-1)\/20. Suppose 3*x - 4844 = -4*w, -r*w - 4*x = -6*w + 3633. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**5\/7 - 10*z**4\/7 + 228*z**3\/7 - 972*z**2\/7 + 1566*z\/7 - 810\/7 = 0.\nAnswer: -15, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2255881*g - 2255903*g = -1320 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 15*j - 11. Let n(d) = -d**3 + 13*d**2 + 14. Let z be n(13). Let v be t(z). Let o be (v\/(-2))\/((-5)\/20). Solve 0 = -o*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -13*s**5\/60 - s**4\/8 - 3*s**3\/2 + 22*s**2. Let o(n) = -3*n**2 - n - 2. Calculate 9*o(g) - 2*y(g).\nAnswer: -g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1318323*v - 832154 wrt v?\nAnswer: -1318323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7593 - 23139 = 4*x, 19431 = -5*x - 3*r. Calculate the common denominator of (-20268)\/x + 10\/(-2) and -28\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 5*w + 31. Give h(4).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995 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: Collect the terms in 194*o - 351*o + 184*o - 49*o.\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2955, 24336, 82901, 197412, 386631, 669320, 1064241?\nAnswer: 1590156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - d**2 - d + 5. What is the smallest common multiple of q(2) and 31?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1164\/5 + 4661\/20. Let r = -0.5 + -0.1. Let u = -0.2 - r. What is the nearest to i in u, -3, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9112518 kilograms?\nAnswer: 911.2518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1071164*q**2. Let i(y) = -y**2. Calculate m(i(w)).\nAnswer: -1071164*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 694 by 2.\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 5*g**2 + 2 - g**3 + 3*g**2 - g. Let c be m(0). What is the greatest common divisor of 14 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 25 + 48. Suppose 2*u - 24 = -0*u. Calculate the remainder when o is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 30 = -2*z + 78, z = -4*h - 76. Let y = 36 + h. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(13) + 1 + sqrt(13) + -1 + -2) - (2*(2 + (sqrt(13) - sqrt(468)))*-6)**2)*4.\nAnswer: -189488 + 11504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 477*t - 472*t - 25. Suppose -10*w + t*w - 5*k = -25, 0 = -5*w - 2*k + 25. Solve w*z + 27 = 42 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.038243146 to four dps.\nAnswer: -0.0382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -372, -1541, -3498, -6249, -9800?\n\"Answer: -s**3 - 388*s**2 + 2*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 204.36 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -345ac (base 15) to base 5.\nAnswer: -20313122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -183312*p**2 - p + 91656*p**2 + 91655*p**2. Let l(o) = 6*o**2 + 7*o - 4. Give 21*k(m) + 3*l(m).\nAnswer: -3*m**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000698199354 to six dps.\nAnswer: 0.000698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63954.\nAnswer: 2, 3, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 5*j**2 - 7*j - 6. Let f be l(-4). Find the third derivative of -3*u**6 + u**f + 2*u**2 + 4*u**6 - 6*u**2 wrt u.\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32479436.\nAnswer: 2, 11, 19, 38851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -202 - 354201426882\nAnswer: -354201427084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/20 and 5226\/1560 + (-2)\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 808166 and 2?\nAnswer: 1616332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20979649 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2949 * 50.\nAnswer: 147450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:46 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h + 844. Let r(g) = -7330*g. Calculate n(r(k)).\nAnswer: 58640*k + 844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, a: 1, w: 5, t: 1}. Give prob of picking 2 c and 2 w.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*1 + sqrt(605))\/sqrt(11) - -2*sqrt(5500))\/(3*sqrt(99) + 2*(-1*sqrt(11) + sqrt(11))).\nAnswer: 22*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t + 4*t - 18793 + 18802 - 1052*t**5 wrt t?\nAnswer: -21040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**5\/5 + 7*w**3\/6 - w. What is the second derivative of h(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-10) - 48\/1260*27. What is the smallest value in -2\/9, -0.3, 1\/57, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66392*k**2*u**3 - 2*k**2 + k*u**2 + 3*k - 3232*u**3 wrt k.\nAnswer: -132784*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o = 12. Suppose 4*m + m - 4*a = 28, 5*m - 16 = -2*a. Is o not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgq when three letters picked without replacement from {g: 1, l: 1, h: 1, q: 3, e: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6, -2, 2\/19, -1, 16\/3, 39?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t*t\/(t\/(((t*t**(1\/7))\/t)\/t))*t)*t*(t**(-1\/4)\/t)\/t*t*(t\/t**(-7))\/t*t**(-1\/5) assuming t is positive.\nAnswer: t**(757\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/3 (b) -0.08 (c) 19 (d) -3.7 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b\/b**13)))\/((b\/((b\/((b*b\/(((b\/(b\/b**(-2)))\/b)\/b))\/b))\/b))\/b*b))\/(b**(-8\/7))**(-8) assuming b is positive.\nAnswer: b**(-183\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 u, and 1 c when three letters picked without replacement from cklfmuuukfmmfku?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 56. Suppose -u - 18 = -l. Suppose 5*p + 29 = 3*f - 22, 3*f - 2*p - u = 0. What is the smallest common multiple of f and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 3:25 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uedfyyss. Give prob of picking 1 u and 3 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465.457 meters in kilometers?\nAnswer: 2.465457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + o - o + 188 + 2*o.\nAnswer: -3*o + 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 6125 = -20*m + 3*j, 6100 = 5*m - 2*j. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2700, 5410, 8120, 10830?\n\"Answer: 2710*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 54 (b) 0.05 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + g**2 + g + 280. Calculate r(0).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 561\/40 = 6\/247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 45*t**2 + 45*t + 41. Give h(-44).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/2 - (-77)\/56*3.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*n**3*s**2 + 4*n**3 + n**2*s**2 - 89*n**2 - 3*s**2 + 2 wrt s.\nAnswer: -82*n**3*s + 2*n**2*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-2 - -6)\/(-2)). Let t = -2 - 3. Sort m, 2\/21, t.\nAnswer: t, m, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 872 and 654?\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 9832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - p - 1. Let x(y) = 2*y + 8. Let z(j) = -m(j) + x(j). What is z(5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23033 (base 4) to base 13.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23253 is divided by 1009.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16295166.832 + 33643.832. Let m = -16261522.92100111 - u. Let j = m + -0.079. Round j to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5)\/w)**(-22)\/(w\/(w\/((w*w**(-2\/5)\/w)\/w))*w**2) assuming w is positive.\nAnswer: w**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 8*h - 3. What is c(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 763\/1 + -4. Suppose -q = -8*q + n. Calculate the remainder when q is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -27995518, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5598 and 36.\nAnswer: 11196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1352 - -1777. Let h = q - 1865. Let x = h - 13936\/11. Calculate the common denominator of 85\/4 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -776465 + 1390732. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13301 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = -3*c. Let i be 1\/((-2)\/(-4))*c. Let q**3 + 2*q**3 - 2*q**2 + q**2 + 6*q**2 + i*q = 0. What is q?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44223 - -44174. Let x = -0.1 - -0.4. Which is smaller: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.5, 0, 3.84?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/4 + b**4 + 3*b**3\/4 - b**2 - b = 0. Calculate b.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/3 + 3136*q**2\/3 + 6266*q\/3 + 1044.\nAnswer: 2*(q + 1)**2*(q + 1566)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.33 + 3.32. Let w = -9 - -8.99. Let j = p - w. What is the smallest value in -0.2, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 n when four letters picked without replacement from nnnununhnchhcncnn?\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 15*z. Let i(k) = 2 + 31*k + 2 - 8 - 5*k + 3. Let r(l) = 4*i(l) - 7*y(l). What is r(11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m**3 + 3*m**2 + 6*m + 2. Let t be y(-1). Suppose -7*f + t = -8. Solve -f*o + 4*r + 5 = 3, -3*o - 13 = 2*r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 2 + 2 + 2*v**3 - 1 - v**3. Let z be b(-2). Find t, given that 8\/5*t + 12\/5*t**2 + 8\/5*t**z + 2\/5 + 2\/5*t**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 12*i - 136. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9493398 by -9.\nAnswer: 1054822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0)**(29\/3)\/((t*t**2)\/t**(-3\/5)))\/((t*t\/t**0)**45\/(((t\/t**2)\/t)\/(t*t*t**(-2\/13)))) assuming t is positive.\nAnswer: t**(-17117\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -8 - 1) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12779410 to the nearest integer?\nAnswer: 3575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 66364 and -261 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*((-52)\/(-8) - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-2) - (-42 + 33)) + -4. Let w(h) be the second derivative of -1\/84*h**4 - 14*h**2 - 9*h + l - 2\/3*h**3. Factor w(b).\nAnswer: -(b + 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jlj when three letters picked without replacement from jvvvvjvjvvlvlvvvvl.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 8 - -17 - (9 + -18)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.08, -6, -56, 9\/8, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 - 28.8.\nAnswer: -30.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -273858168 by -249.\nAnswer: 1099832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*i + 12. Let y be (-3)\/i*0\/1. Suppose -j - 34 = -3*m, m - j - 14 = -y*m. What is the greatest common divisor of 30 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m. Let q(h) = h**2 + 3*h + 2. Let p be q(-4). Let c(z) = z**2 - p*z + 6*z - 3*z**2. Give i(c(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 + -2 - -35 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5532878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*t + 4, -5*d - 5*t + 49 = 14. Suppose 804 = d*x + 4*o, -x + 5*o + 188 = -25. Let r = x + -75. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-7))\/(-1) - (-4644)\/14. Let n = t + -217. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 205 and -0.355092?\nAnswer: -72.79386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*p = 8, -3 = 3*u + 5*p - 23. Suppose u = 3*h + 12, -g - 4*h = h + 18. Solve m + 5*l + 5 = 5*m, m = g*l + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -64. Let f be s - -2 - ((-4)\/1 - -1). Solve 8 = -f*d - 4*x, -4*x = -0*x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*-5)\/sqrt(12) + (sqrt(18)\/sqrt(9) + 5 - sqrt(2)).\nAnswer: -5*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17540 - 17544 = 3*r - 5*m, -10 = r - 6*m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 21933378*b - 40089422540907.\nAnswer: -3*(b - 3655563)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 2*d - 8. Let p be b(-5). Solve c - 13 = 2*l - p*l, 5*l = -3*c + 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*x + 35 = 0, 0 = 5*x - 2*x - 12. Find the second derivative of -8*t + t + 0*t - g*t**3 wrt t.\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1449 and 34083.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -42434?\nAnswer: 42424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 658904611964446 + -0.5.\nAnswer: 658904611964445.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8881?\nAnswer: 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugg when three letters picked without replacement from ggggguuuggggggguugg?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216780633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*t - 108*t - 8 + 59*t - 24*t**2 wrt t?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from kkkkggkekgeekekk?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = u + 15, 4*m + 20 = -22*u + 17*u. Let o = 0.9 - 7.9. Let g = 10 + o. What is the closest to 1 in m, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180357 (base 16) in base 12?\nAnswer: -63a873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/10995 and 56\/11?\nAnswer: 120945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 143*l**7\/42 - 73*l**3\/3 + 120*l. What is the second derivative of w(k) wrt k?\nAnswer: 2860*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -16. Suppose -3*s = 3*c + 2*s - 8813, -11739 = -4*c + b*s. What is the third derivative of -27*i**2 + c*i**4 - 2941*i**4 - 6*i**2 wrt i?\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s - 10 = 0, 3*f + 3*s = -9. Let n(q) = 9*q + 13. Let t be n(f). Let x = t + 63. Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 12) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5}. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**12)**(-15)\/(n**(-13))**(-1\/50) assuming n is positive.\nAnswer: n**(-9013\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15943860 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1809*y + 189935. Determine o(-105).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 733951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 71*u - 10. Let g be x(1). Suppose -57*m = -g*m + 44. Calculate the smallest common multiple of m and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9097 and 209.\nAnswer: 172843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0110413 rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = s - 8, -3*m - 13 = 3*s - 7. Let w = 40 + -26. Let q = 18 - w. What is the nearest to -1 in 0, q, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1181*z + 1157*z = -168 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 707 + -689. What is the lowest common multiple of 111 and y?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -518*((-7 + 5)*-1)\/(-4). Solve -5 - l = 66*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/((-168)\/21)*21\/(-2436).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**6\/120 - 29*d**5\/60 + 7*d**4\/6 - 12*d**3 - 2021*d**2. What is y(-30)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/1101, -276, -1\/3 in descending order.\nAnswer: 1\/1101, -1\/3, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2650109454 to the nearest integer?\nAnswer: 51479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/9, -5\/2, 2 in descending order.\nAnswer: 2, 1\/9, -0.2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, -49, -44\/379, 0, 1, 1\/3?\nAnswer: -44\/379","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -107\/80, 3, 3\/7, -239?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 + 13*a**2 + 63*a - 30*a**2 + 5*a**2.\nAnswer: -a**2 + 63*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -21, 2, -2\/13, -0.08?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -177.369 - -0.369. Let w = -177.5 - t. Let h be (3\/60)\/(2\/(-4)). What is the closest to 0 in 1, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 + -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 2. Let b be p(-4). Suppose -b*d = -3*s - 20, 4*d - 3*s = -0*d + 28. Factor -2*k**2 - 3 - 7 + 9 - k**d + 4*k**2.\nAnswer: -(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30521 + 30525. Which is the third smallest value? (a) -1\/5 (b) u (c) 258\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -577 = 2*z - c - 4334, -2*c = -3*z + 5637. Suppose r + z = -1123. Round r to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/5)\/((v**0*v)\/v)*(v**3*v)**9 assuming v is positive.\nAnswer: v**(181\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -72, -35, 30, 123?\n\"Answer: 14*f**2 - 5*f - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 smaller than 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 20. Let o be g(9). Suppose -5*w + 121 - o = 3*t, -w + t + 22 = 0. Let v = 234 + -146. What is the greatest common factor of v and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**2 + 55*w - 98. Calculate d(5).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2323 + 27729. What are the prime factors of n?\nAnswer: 2, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Let w be (18\/10)\/((-9)\/(-30)). Suppose -w = 4*x - 5*p, 4*p = -4*x - 0*p - 24. Put x, b, 4 in decreasing order.\nAnswer: 4, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 514 + -512. What is the third derivative of -105*j**3 + 51*j**3 - 134*j**3 + 341*j**w - 114*j**3 - 71*j**2 wrt j?\nAnswer: -1812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = c + 10081285, 4*b + 0*c - 2*c = -8065028. Let d = 33471 - -602786. Let w = d + b. Round w to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5 + 494*d**4\/7 - 18*d**3 - 494*d**2\/7 + 20*d = 0. Calculate d.\nAnswer: -1, 0, 2\/7, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 2)*(765 - 765 - 236*g) as x*g + p and give x.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65257, 130510, 195759, 261004, 326245?\nAnswer: 391482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**2)\/x**(-6))**50*(x**1)**17\/(x*x*x**(2\/3)*x)**41 assuming x is positive.\nAnswer: x**(350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 3*f + 3*f. Let z be h(-3). Let s = z - -3. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 483 = o, -2*q = o + 2*o - 1423. Suppose o + 1683 = 4*k. Suppose 5*a - k = 4*t, 0 = 5*a - t - 795 + 259. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 169?\nAnswer: -168.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {b: 1, r: 19}.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -19. Let h be (0 + -5)*12\/v. Let y be (-140)\/(-12) + h\/6. Solve 3*c + y = -l + c, -4 = 5*l - 4*c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/90)\/((-63)\/(-30))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2158\/3 + -719. Which is bigger: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39088 and 2968.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 481787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c**2 - 213*c - 134. Determine k(31).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-84)*(35 - -23)*7.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5765*m*q**3 - 17*m*q**2 + 3*m*q - 2*q**3 - 116 wrt q?\nAnswer: -34590*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-483))\/((18\/63)\/((-64)\/(-224))).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 77, 72, 49, 2, -75, -188?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (300\/225)\/((-8)\/90). Let h(j) = -j**3 - 14*j**2 + 11*j - 18. Calculate h(l).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 divided by 75?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/986)\/(190\/(-551))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 367658742 and 5082.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*u + 17043 = -1331*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44.7 - -44.369. Let j = g + -0.069. Which is the third biggest value? (a) 1\/9 (b) -2.5 (c) j (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10) + (-918)\/(-1005). Let d = -5929\/536 - z. Find the common denominator of 2\/(-7) - 813\/21 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2*p + 4)*(-3*p + 3 - 3)*(p**2 + 5*p**2 - 2*p**2) as m + i*p**4 + s*p**2 + q*p**3 + h*p and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-5 - -5) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 13 = 3*j, -j = 2*j - 5*p - 41. Suppose -2*n + j*n = 50. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 5*h + h**3 - 2*h + (-h**2 + 2*h**2 - 3*h**2)*(-6*h + 3*h + 4*h) + 2*h**3 + 4*h**3 - 5*h**3.\nAnswer: -2*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 16. Suppose -v + 0*v + 2*w + 5690168 = 0, -28450885 = -o*v - 5*w. Let y = v + -890174. Round y to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*n - 20302, -5*v = 2*n + 3*n + 20300. What is the common denominator of 0 - (206\/(-24) - -1) and n\/(-84) - (-2)\/14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 16 = 2*p + v, -2*p = -5*v + 24. Let h = 69 - 62. Let i be 640\/35 + p\/h. Is i bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**4\/12 + 2*i**3\/3 - i**2\/2 - i. Let k be o(4). Let a be 2 - (0 - -2) - k. Which is greater: -1\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2231*j - 493 + 2282*j - 369 + 864.\nAnswer: 51*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.64 + -3. Let d = 0.96 + l. What is the third smallest value in -4, 7, d?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*j**3*w**5 - 235*j**3 - 2*j**2*w + 18*j*w**5 - 2 wrt w.\nAnswer: 140*j**3*w**3 + 360*j*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 5*y**2 - 4*y - 1. Determine u(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -66, 5 in increasing order.\nAnswer: -66, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 500914472 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34089683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/7 + 458*x**4\/7 + 11882*x**3\/7 + 8074*x**2 + 23140*x\/7 - 92000\/7 = 0 for x.\nAnswer: -200, -23, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2252239 is divided by 470?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942 is divided by 135.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 - 9 = 0. Let t(h) = 9*h + 20*h**2 - 23 + 3*h + w. Is t(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*w**2 + 0 + 37\/5*w.\nAnswer: -w*(w - 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/50)\/((2958\/17)\/(-33060))\nAnswer: -114\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -b5034a (base 14) to base 15\nAnswer: -80a033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8719407.\nAnswer: 3, 107647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -42\/29 and 7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/9 and -18\/161.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 127352 - -2?\nAnswer: 127354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 243378078 divided by -488711\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3675.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:03 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (7 - (-3 - -1 - -17)) - -7\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**5 - l**3\/3 - 10. Find the third derivative of r(x) wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -215476 or -215475?\nAnswer: -215475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -132 - (-119 - (-67 + 83)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by -37731.\nAnswer: 50\/37731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 1167766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*n - 0 + 8, 30 = -5*d - 5*n. Put d, -73, -1 in decreasing order.\nAnswer: -1, d, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**8\/840 + t**4\/24 - t**3\/3 + 2*t**2. Let q(z) be the first derivative of o(z). Differentiate q(i) wrt i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 6*w - 3. Let j = -4 - -6. Let g be j - (2 + -2 - 2). Give f(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/57, -1, -34, 4, -1\/3.\nAnswer: -34, -1, -1\/3, 4\/57, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5886 to 2 dps.\nAnswer: 2.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - c + 11 = 0, 5*c - 36 = 3*i - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5482 - 652. Does 60 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -257 - -262.38. Let f = 1.38 - i. Which is the smallest value? (a) f (b) -5 (c) 10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - -3)\/2 - (-60 + 17344063). What is d rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.58 - -1381791492?\nAnswer: 1381791497.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 235*d**9\/504 - d**5\/30 + d**4\/3 - 6*d**2 + 7*d. Find the third derivative of o(r) wrt r.\nAnswer: 28200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s - 2. Let l = 13 + -11. Calculate the smallest common multiple of d(-3) and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b**2 + b**2 - 8*b**6 + 0*b**2 + 21*b**6 wrt b?\nAnswer: 1560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176233356.\nAnswer: 2, 3, 13, 17, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 15. Let b be r(11). Suppose -2*p - 6*x + 3*x = 11, 3*p + b*x = -14. Find the third derivative of -23*h - 7*h**3 - 2*h**p + 23*h wrt h.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1014286*z - 5010. Let l be r(-35). What is l rounded to the nearest one hundred thousand?\nAnswer: 35500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*m + 8 = r - 93*m, -r - 4 = -m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 4:22 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 8*u + 18. Let g be y(-5). Solve -4*s + 8*s + 5*p = -17, g = -3*p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 58 + 6)*(-2 - 5 + 3)*(-3 + 3 - r).\nAnswer: 252*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (6 + (-1 - 1))) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 + 5185*o. Let r(c) = 2*c. What is i(r(v))?\nAnswer: -12*v**2 + 10370*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113840 * -1.4.\nAnswer: 159376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 4*y - 25 = 0. Suppose 49 = 4*u - 35. Solve 5*a - 24 = j, 0*j - u = 4*j - y*a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5620 - 3489 + 10863 + 77*i**3 wrt i.\nAnswer: 231*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 at most 30925\/479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -517\/9. Let q(w) = w**3 - 11*w**2 - w + 11. Let h be q(11). Which is smaller: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380, -572, -104, 1030, 2836, 5320, 8488, 12346?\nAnswer: 16900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y - 22. Let b = y + 62\/3. Put 5, -3, b in decreasing order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 71. Let x(u) = -40*u + 1. What is the tens digit of x(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 78 = -58 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -466 = -4*y - 5*q, -3*y = -3*q + 5*q - 346. Suppose 4*d + y = 5*a + 9, 3*d - 3*a + 78 = 0. Let b = -14 - d. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) 0.3 (b) 14 (c) 3 (d) -4 (e) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -68.445 at most as big as -1\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*j**2 - 13*j**2 - 8*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x = -2*l + 30, 3*x = -5*l + 12. What is the tens digit of ((-1)\/(-2))\/(x\/252)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (0 + -6 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*z = 5*q - 28, 12 = -4*q + 4*z. Suppose 2*l = -3*g - 64, -g + q*l + 24 = -2*g. Let y be ((-435)\/g)\/((-2)\/8). Round y to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -899\/70 + 85\/7. Let o = 91\/2 - 59. Find the common denominator of f and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 6*j**2 - 7 - 4*j + 0 + 4*j to p*j + k*j**2 + f and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 37\/3*15\/(-10) + (-245)\/(-70)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -206 or 650.37?\nAnswer: 650.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/12)\/(4\/80). Suppose 3*f - u*f = -12. Suppose -2*x + g = -3*x + 7, -2*g + f = 0. Solve -3*b - 5*j + x = -0*b, 2*b = -3*j + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 20. Let w be x(-21). Let d = -20 - w. Suppose 5*t = -5*a + 480, 0 = 3*a - d*t - t - 318. What are the prime factors of a?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxlttxlx. What is prob of picking 1 t and 1 l?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3535*m - 72628 - 86447 = 0 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 18\/5, 2\/499, 4\/9, 21, -5 in decreasing order.\nAnswer: 21, 18\/5, 4\/9, 2\/499, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by 1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from vataaxaaytatax?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - q - 2)*(3*q + 4*q - 5*q) + (0 + 1 + 6)*(-3*q**2 - 5*q**2 + 5*q**2) + (-4 + q + 4)*(-5*q + 3*q + 3*q).\nAnswer: -22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 8 - 11, -4*t - 2*d - 10 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-26) - (1 + (1 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 115173457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5180881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10192000 rounded to the nearest 100000?\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/((-2175)\/(-1020))*(-8)\/(112\/(-35))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442547 and 1643173?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 40 - 1)*(2 + n - 2) + (-1 - 1 + 0)*(-3 + 3 - n))*(4*n + 3 - 3) in the form k + t*n**2 + w*n and give t.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2720 - 2718. What is the tens digit of (-49 - -10)*14\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39829 divided by 40?\nAnswer: 39829\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3168 + 34901\/11. What is the common denominator of 9\/5 and b?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -378*c**2*l*y**2 - 8*c**2*l*y + 8*c**2*y**2 - 3*c**2*y + c*l*y - 2*l*y + l wrt y.\nAnswer: -756*c**2*l + 16*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iitinxu. Give prob of picking 1 i and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 745 and 13.\nAnswer: 9685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47727 is divided by 67.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -101*h**3*o**2 - 5*h**3 + 41000*h**2 + 5*h*o**2 + 2*h + 21*o**3 wrt o?\nAnswer: -202*h**3*o + 10*h*o + 63*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/11 greater than or equal to 3.966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 11*s**6\/3 - 9*s**2\/2 - 8. Find the second derivative of o(h) wrt h.\nAnswer: 440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b. Let t = 5 + b. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -324 or -331?\nAnswer: -324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 251000 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88380017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 4\/(-12)*6. Factor 2 + 112*a**4 - 6*a**3 - 136*a**4 + 4*a**d - 14*a**5 - 2.\nAnswer: -2*a**2*(a + 1)**2*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 7. Suppose 2*b + 2*z = 44, -56 = b - 4*b + 2*z. Solve j*i - 7*i = -b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 44*n + 11. Let j(l) = 9*l + 2. Let u be 6 + 1*(11 + -13). Give u*p(w) - 22*j(w).\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 485840?\nAnswer: 4372560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-12)\/10 - (-8 + 312\/60).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 197620867*r**3 + 583477510 wrt r.\nAnswer: 592862601*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 17 - 10*z**2 - 6 + z**3 + z + 2*z. Let v be t(10). Suppose -5*y + 0*s + 73 = -s, -2*s - v = -3*y. Solve -6*d - y = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -270*p**5*u**2 - 3*p**2*u**2 - 154*p**2 wrt p?\nAnswer: -16200*p**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -16*v + 28*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.34 (b) 5 (c) 179 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 15*s + p + 16, -2*s = 3*p - 4. Let i(t) = 7 + 3 + 6 + 1034*t. Let d be i(s). Round d to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 842397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 2*x - 1. Let v = -33 + 35. Suppose 4*s = v*s + 2. What is d(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 2:38 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -876 divided by 876\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2516 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 a(n) = -270069*n - 190. Is a(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -52.973, 0.5, 0.03, 2\/13, -2\/13?\nAnswer: -52.973","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 67. Calculate the remainder when o is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 729 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -2*a + 243. Suppose -a = -4*k + 219. What are the prime factors of k?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-28)\/(-441))\/(80\/14 - -2). Let m = t - -725\/486. Which is the third biggest value? (a) m (b) -2 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**2 - 17 - 5*a - 21*a - 5*a + a. Let g(r) = 4*r**2 - 15*r - 9. Let p(s) = -5*g(s) + 3*q(s). Let d be p(16). Solve -d = 3*x - x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.08 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -4 in descending order.\nAnswer: 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175\/90 + (-9922)\/396 + 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6367140*m*w - 275*w + 5393 with respect to m.\nAnswer: 6367140*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 45*i + 28. Suppose -2*j = m - 8, -4*j = 4*m - 8*m + 20. Calculate the remainder when m is divided by f(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 9. Solve r = -n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-18)*108\/3528?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, i: 2, j: 2}. What is prob of sequence wwjj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - (-2 - 0)) + 0. Suppose 2 = -3*f - 4. Which is smaller: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2202572 or 2202571?\nAnswer: 2202572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) - 111\/(-2). Suppose -5*v + 3*a + l = 5*a, 4*v - 3*a = 31. Suppose 0 = -j + 5*j - 8. What is the lowest common multiple of j and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21966702853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 477, 955, 1433, 1911?\nAnswer: 2389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 3*w - 112. List the prime factors of (-4)\/((-84)\/309) + w\/49.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 29 = 4*z, -2*z + 16 = -z + 3*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 t, and 1 j when three letters picked without replacement from {r: 1, t: 1, p: 1, j: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.604 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*k**2 + 5*k**2 + 7*k**2 + 6 + 2*k + (2 - 2*k**2 - 2)*(-3 + 4 + 1) + 0*k**2 + 2*k**2 - k**2 as d*k**2 + w*k + i and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*(-25*c**2 + 2*c + 36*c**2 + 2*c).\nAnswer: -33*c**2 - 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ed (base 16) to base 14.\nAnswer: -3b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.827998 months in decades?\nAnswer: 0.04856665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (199617\/17710)\/(-263)*(-28)\/3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56036040?\nAnswer: 2, 3, 5, 71, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10252, 20618, 30972, 41308, 51620?\n\"Answer: -s**3 + 10373*s - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 535 divide 535407135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 11:39 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 295244601 to the power of 1\/3, to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 k, and 1 e when four letters picked without replacement from yewky.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**6\/1620 + k**5\/135 + k**4\/36 - k**3 - 1. Let p(x) be the third derivative of h(x). Let p(i) = 0. What is i?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 399*s - 119. Let y(t) = 10*t - 3. Determine 6*w(c) - 238*y(c).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 139000 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43642.\nAnswer: 2, 21821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 430 = -5*g, 3*g + 2*m - 195 = 63. Suppose -5*o = -3*f + g, -5*f + 16 + 86 = 2*o. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -20*v**2. Let i(f) = -7*f - 6. Let j(r) = 9*r + 8. Let p(u) = -4*i(u) - 3*j(u). Determine p(d(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-21)\/6 - (-3)\/(-2). Let a(g) = -5*g**3. Let u(i) = 0 + 0 + 4*i**3. What is n*u(q) + 2*a(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1106980 and 63256?\nAnswer: 2213960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 20\/8)\/((-22615)\/27138).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 114 + 172 = -14. Let k(s) = -s**3 - 5*s**2 - 5*s. Let g be k(-4). Solve 4*x = -3*v - u, g*x - 3 = -5*v + 5*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 6. Let d be (-2)\/10 - (-87)\/(-15). Let k(f) = 3*f**2 + 17. Let j(z) = d*k(z) + 17*g(z). Let b(l) = -l**2 + 0*l**2 - 6*l**2. Calculate b(j(m)).\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -5*i + 44*i + i - 32*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, 3\/2, 9?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**4)\/(b\/b**7)*b**(-2\/5)*b*b*(b\/b**(-4))\/b assuming b is positive.\nAnswer: b**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1033192 and 149668.\nAnswer: 4828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 66*t**2 + 12*t + 14. Let z(v) = 32*v**2 + 6*v + 6. Let j(p) = -3*b(p) + 5*z(p). Find the second derivative of j(i) wrt i.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230*g**5*u - 337221*g**4*u + 2*g**2*u - 19*g**2 - 4*g*u - 24*g + 2*u - 2272 wrt g?\nAnswer: 13800*g**2*u - 8093304*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65403.266 - 65541. Let f = t + 138. Round f to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 - 12*k - 67. Let q(y) = 157*y - 1405. Let t be q(9). What is u(t)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 5207.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 38. Let h be (-19)\/(6\/12 - (-21)\/(-30)). Calculate the greatest common factor of u and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + g**2 + 3. Suppose -n = 2*n. Let f be u(n). Let j(p) = p + 4*p + 0*p**f - 5*p**3 - 4*p. Give j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -13*s + 37. Let a be f(4). Let g(b) = 3*b**2 + 4*b. Let x(w) = -12*w**2 - 15*w. What is a*g(k) - 4*x(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 130500.136 and 15852.\nAnswer: 146352.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1314125*q - 2 + 2 - 657066*q - 657065*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*d, 3*y - 2*d - 3 = 13. Suppose y*h + 138 = 2*w, -3*h + 117 + 78 = 3*w. Calculate the remainder when w is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936\/15 > 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/7 in 1934, 3\/2, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6363*r + 36*r**3 + 4603*r + 1760*r.\nAnswer: 36*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*b**3 + 32\/9*b**2 - 2\/9*b**4 + 0 - 40\/9*b = 0. What is b?\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -36216*w. Let n(i) = -6*i**2 + 4*i. Calculate j(n(y)).\nAnswer: 217296*y**2 - 144864*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12657 by 1.\nAnswer: 12657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006928 to 5 dps.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 337 = 337 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + 5.94. Let v = g + -5. Let i = 16 + -16. Which is greater: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y**3 - 5*y**2 + y - 2. Let f(c) = 3*c**2 - c. Calculate -2*f(m) - t(m).\nAnswer: -7*m**3 - m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*h**4 - 6704*h**2*p**3 + 2*h*p**2 + p**3 - 411*p**2 wrt h?\nAnswer: -60*h**2 - 13408*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - (sqrt(288) + sqrt(8)))\/sqrt(2))\/(sqrt(2)*-3*6).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbbbjhbjjbjjjhbb. Give prob of picking 2 h.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 10*w**2 - w + 8. Let u be z(10). Let h be (25\/u)\/((-3)\/(-24)). Let d = -60 - h. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 131 = 4*z + 15*t, -4*z = 3*t - 133. Solve 4*j + z = 46 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 376*p - 19. Let t(w) = -374*w + 27. Determine -3*h(f) - 2*t(f).\nAnswer: -380*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7, -0.02, 94, 6\/13, -5, 4 in decreasing order.\nAnswer: 94, 4, 8\/7, 6\/13, -0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22878 and 33.\nAnswer: 251658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/10 (b) -0.4 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.262 and -4.\nAnswer: -3.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 5*u + 5*u - 16 - 26.\nAnswer: -2*u - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k = -24*z + 19*k - 67, z = -5*k - 28 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*k**4 - 5*k**3*y*z - 11155*k**3*y + 408*k**2*y*z + 9*k**2*y + 218*k*z wrt k.\nAnswer: -168*k - 30*y*z - 66930*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 2:54 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 282 + 284 + 27*x - 566. Let o(p) = 2*p. Let s(z) = -z. Let a(k) = -o(k) - s(k). Give l(a(g)).\nAnswer: -27*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -3 (c) -1\/2 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*u + 4*u. Let i(m) = m - 1. Suppose -3*j - 3 = -q - 35, -2*q + j = 54. Let t be q\/2 - (-8 + 6). Let h(o) = 5*o - 5. Determine t*i(l) + u*h(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 + f**3 - f**2 - 5*f**3 - 3*f**3 - 15*f**2 - 1 as a*f + d*f**3 + z*f**2 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -105*k**5\/2 - 1083*k**4\/2 - 1620*k**3 - 1572*k**2 + 24*k + 360 = 0?\nAnswer: -6, -2, -5\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 8. Suppose -h + 1 - 3 = u. What is the units digit of h\/(-6)*(-105)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3955 - 3967. Let i = 1 + -1.5. Sort -0.3, i, s.\nAnswer: s, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + z + 3. Let t be w(3). Let s = -16 - t. Sort s, 1, -2 in increasing order.\nAnswer: -2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/13)*w)**25*w\/(w\/w**(-6\/11))*w*w**(5\/4) assuming w is positive.\nAnswer: w**(17475\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27847733 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17039.7 + -17040. Sort 139, h, -1 in increasing order.\nAnswer: -1, h, 139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/6*8\/(-14). Is 38 - (d + 0 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2139*x - 93. What is the hundreds digit of i(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p. Let k = 13 - 11. What is the remainder when 46 is divided by n(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2249379161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19219\/4 + -4806. Let h be (3\/4)\/(2\/(-8)). Suppose 0 = -2*c - 5*y + 8 + 5, -y + 21 = 5*c. What is the biggest value in q, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221055384 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 94 = -106. Suppose -41*u - 66 = -35*u. Let l = y + u. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 1. Let g(d) = -4*d + 2. Let o(c) = -2*g(c) + 7*s(c). Let i = 17 + -18. Let n(x) = 1. What is i*o(w) + 4*n(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2151 + -0.0251. Let o = j + 0.81. Which is the nearest to o? (a) 1\/5 (b) 0.1 (c) -2\/3 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 370 - 368. Let n(w) = -5*w - 30. Let y(s) = -s - 6. Determine g*n(h) - 11*y(h).\nAnswer: h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 17, g: 1}. What is prob of sequence bbb?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 35*b + 304.\nAnswer: (b - 19)*(b - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1521, -1622, -1741, -1878?\n\"Answer: -9*y**2 - 74*y - 1438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1760.34 take away -0.4?\nAnswer: -1759.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 16*t - 154. Suppose -23*k - t = -34*k. Solve -3*l - k*g = -0*l + 5, g = 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 + 12 = 9*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46932, -93873, -140828, -187803, -234804, -281837, -328908?\nAnswer: -376023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 4, -863, 12, -11, -2.\nAnswer: -863, -11, -2, 4, 12, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-74 - -98)*(5 - 1)\/((-60)\/(-10)). Solve -13 = -g*b + 19 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 4:54 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 146, 203, 244, 263, 254, 211, 128?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -5*w - 10, -1483*b + 1481*b = -205*w - 1240 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 416757 = 15*s - 644664. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 39530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2453345 greater than or equal to -2453344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -58, -62, -84, -130, -206, -318, -472, -674?\n\"Answer: -s**3 - 3*s**2 + 12*s - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*q - 3*q - 2 = 0, -w + 14 = -4*q. Let m(h) = 3*h**3 - 4*h**2 - 2*h - 2. Let g(f) = 10*f**3 - 13*f**2 - 7*f - 7. Calculate w*g(o) + 7*m(o).\nAnswer: o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108 - 12. Suppose -u = -7*i + i. Suppose -8*h + i*h = 40. Put 2, h, -3, 4 in decreasing order.\nAnswer: h, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 12*a**2 - 15*a - 18. Let d be n(12). Does 11 divide 72\/27*d\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7 - 9 + v + 5. Does 5 divide q(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-4) - 0 - (-1)\/2. Let o(l) = 18*l + 16. Let c(k) = -12*k - 11. Let n(q) = 7*c(q) + 5*o(q). Give n(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 9838651, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-726)*4 + 846\/66?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from {e: 1, q: 2, w: 2, m: 5, u: 3, z: 7}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20295 = 3425061*n - 3424856*n for n.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/216*6\/(-9)*-3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 379596 divided by -6.\nAnswer: -63266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-13\/3)*f*f*f**16*f assuming f is positive.\nAnswer: f**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 3767928?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 6 - 1)*(-79*a**2 - 1 + 110*a**2 + 1 + 0).\nAnswer: 372*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -5*x - 9, -14 = 9*q - 6*q + 2*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 627\/17 - -17705\/68. Let z = -291 + c. Factor 0 + 1\/4*x**4 + 5\/2*x**3 + 0*x + z*x**2.\nAnswer: x**2*(x + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 38 + 57 - 95. Let a(g) = 41*g. Give n(a(i)).\nAnswer: 1681*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 + 158. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 0 + n - 17 + n.\nAnswer: 2*n - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4 = 32. Let x be (4 - 4 - 0)*(-3)\/t. Suppose 2*o - 4100 = 2*b, o + 4*b - 2065 = -x*b. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 16*s - 93. Is h(10) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 103905.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23713, 47213, 70685, 94117, 117497, 140813, 164053?\nAnswer: 187205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -260, -578, -1012, -1556, -2204, -2950, -3788?\nAnswer: -4712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 48 = v - 65, 2*k = 3*k - 41 + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 13 = -7*n, 5*n = 9*n + 5*g + 6. Put n, 4, -13 in decreasing order.\nAnswer: 4, n, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**3 - j**2 + 10*j. Let b(l) = 8*l**3 - 2*l**2 + 9*l. Give -2*b(r) + 3*s(r).\nAnswer: 5*r**3 + r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -8\/21*v + 2\/21*v**3 + 8\/7 - 2\/7*v**2 = 0?\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 88?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1439 divided by -253.\nAnswer: 1439\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 298 or -168872?\nAnswer: 298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 19*q**3\/3 + 83*q**2\/2 + 8*q + 111. What is the thousands digit of n(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*z - 100*z = -28290170 - 10685965. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2712614 + -4642614. What is g rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115015777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21360 + 21360 + 1534*x**2)*((-10*x - 3 + 3)*((5 - 1 - 2)*(5 - 1 - 6) - 3 + 5 - 1) + (-1 + 2 + 1)*(-5*x + 3*x + x)).\nAnswer: 42952*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.44 - -0.04. Let u = 0.09 - 0.15. Let y = u + 1.06. Which is the second smallest value? (a) w (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-3 - 9)) + 3 - (-4 + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -547, -2, 0, -4 in increasing order.\nAnswer: -547, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1314322232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.54011 nanometers to meters.\nAnswer: 0.00000006454011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 16. Suppose 8*z + 16 = h*z. Put 2\/13, 0, z in descending order.\nAnswer: z, 2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -147725*q**3\/4 + 2953435*q**2\/4 - 3687800*q - 26625 = 0. What is q?\nAnswer: -213\/29545, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r**3 + 6*r**2 - 6*r**2)*(2*r + 0 - 5 + 2).\nAnswer: -16*r**4 + 24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + 3 - (-31 - -24)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/5))\/k**6)\/((k*k\/(k**4*k)*k*k)\/(k**(-3\/7)\/k)) assuming k is positive.\nAnswer: k**(-183\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 129204.\nAnswer: 64602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -59602 divided by 10\nAnswer: -29801\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*m + 13156, m = -r + 3*r + 8774. Let t = r - -2904. Let z = 2457 + t. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/32730 and -59\/30?\nAnswer: 32730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-18) - 8\/36. Let l(q) = -q**3 + 3. Let y be l(j). Suppose 0 = -y*u - 3*b - 3, 3*b + 13 = 5*u - b. Put u, 4, 2 in descending order.\nAnswer: 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 960983278*x**2 - 5534709*x - 2.\nAnswer: 1921966556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830 + 470 = 30*x + 130 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1058? (a) -3 (b) -2\/9 (c) -7\/2 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 63\/49 - 402\/14. Let c = 33 + n. Calculate the highest common divisor of c and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 414\/36)*(-4)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -98522128 and -1107.\nAnswer: -98523235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1636\/7 or -235?\nAnswer: -1636\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.423741 litres in millilitres?\nAnswer: 2423.741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 13*f + 259. Let q be o(-39). Sort q, 1, 2 in decreasing order.\nAnswer: 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/45 - 2\/5. Let o be ((-47)\/(-6))\/(56\/12). Let x = -19\/12 + o. What is the closest to -2\/3 in u, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 1 = 5*c, 0 = -39*n + 37*n + 4*c - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1026\/5 or -206?\nAnswer: -1026\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 5*n**2 + 0*n + 1\/210*n**5 - 8\/21*n**3 - 24 - 1\/42*n**4. Let p(o) be the second derivative of b(o). Factor p(k).\nAnswer: 2*(k - 4)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = z. Suppose 0 = z*r + 3*r - 20. Let j(b) = 2*b**2 - 5*b + 4. What are the prime factors of j(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**3 + 5*o**3 - o**3)*(18*o - 42*o - 6*o) to b*o**3 + k + u*o**4 + d*o + p*o**2 and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, 38, 51, 64, 77, 90?\n\"Answer: 13*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*v**4 + 37*v**2 - 37*v**2)*(-10 - 57*v + 4 + 89*v).\nAnswer: 320*v**5 - 60*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:12 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -109? (a) 0.3 (b) 7 (c) -5 (d) 2\/11 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (670 - 674 - ((-2 - -1) + 24)) + -11.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*z - 126*z = -297 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 5*t + 15. Let p be i(6). Let k = 68 - p. Solve -4*h - 5*s - k = 0, 2*h + h = -3*s - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 2. Let h be f(1). Let u = -53 + 52. What is the units digit of u - 1 - (-7 - h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l - 121 = a, -4*l - a = -251. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13 - -2*(-3 + 2). Let u = i + -6. Suppose 6 = u*v - 9. Solve 2 = -2*q + 2*y - 2, -5*q = v*y - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -9 + 49*v**2 + 0*v**3 - 109\/5*v**5 + 0*v**4 + 0*v. What is the second derivative of s(b) wrt b?\nAnswer: -1308*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5912 = 5*d, -5964 = -4*m + 3*d + 5*d. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5439041, 5439043, 5439045, 5439047, 5439049, 5439051?\nAnswer: 5439053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -41221 + -37.08292\nAnswer: -41258.08292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 9*z**2 + 14*z - 18. Let x be w(7). Sort 3, 0.4, x in descending order.\nAnswer: 3, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4215, 8415, 12615?\n\"Answer: 4200*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/4*82\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*x + 84*x**2 + 97*x**2 - 136*x to the form h*x + a + y*x**2 and give y.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 55, 76, 97, 118?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43 and 235\/4*(-6)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 6*y**2 - 6*y + 3. Let f = -36 + -6. Let p = f + 63. What is the remainder when p is divided by u(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 63 (b) -0.02 (c) -3\/8 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2047*a**3 + 11*a**2 + 37*a + 13. Let x(j) = -1023*j**3 - 5*j**2 - 17*j - 6. Determine -6*s(h) - 13*x(h).\nAnswer: 1017*h**3 - h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 282. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -15 + 2 - (1 + 1). Let f = m + 13. Let w be f\/12*-2*3. Solve -a - w = -0*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 3*x**3 + 0*x**2)*(10122*x + 9299 - 18592 + 9293 + 185*x).\nAnswer: -30921*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(1\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {i: 1, w: 2, c: 1, a: 2, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*k + 129, -3 = -3*k + 4*k. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56840000 rounded to the nearest 1000000?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/5676 and 97\/3684744.\nAnswer: 1742883912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 500, 1, 312 in ascending order.\nAnswer: 1, 312, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 284*z - 21 - 7*z**2 - 284*z wrt z?\nAnswer: -14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 485461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 l, and 1 q when three letters picked without replacement from {a: 4, c: 7, l: 1, q: 2, e: 3}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -632, -631, -628, -623?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -444*c**2 - 3*c + 10. Let d(j) = -225*j**2 - 2*j + 6. Give 5*d(f) - 3*z(f).\nAnswer: 207*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 10 + 3 = r, r = 4*w + 19. Let h(j) = j**3 + 4*j**2 - 9*j - 6. Let b be h(w). Let s = -14 - b. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -37. Let y be 3\/36*4 - j. Let -y*g**3 - 1\/3*g + 2\/3*g**2 + 0 = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1914 and -139\/19117206.\nAnswer: 210289266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24342462 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (22\/(-33))\/(1 + 0 - 0). Is -642 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -309, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + (sqrt(243)*-1 - sqrt(243)) + -2 + sqrt(243) + ((-2*sqrt(18) - sqrt(18))*4)\/(sqrt(30)\/(2*sqrt(5)) - sqrt(6)))**2.\nAnswer: -90*sqrt(3) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 363653 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 105*q**2 + 35*q + 73. Let w be a(-2). Calculate the highest common factor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/36 and -107\/264713792.\nAnswer: 2382424128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.6 (b) -3\/2 (c) 5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -55*0.5\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 + 459.5. Let r = k - 462. Sort -3\/4, r, 2\/33 in descending order.\nAnswer: 2\/33, -3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2153970 divided by 27615\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(539))**2.\nAnswer: -2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxyyxyxxhyy. Give prob of picking 2 x and 1 h.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2025 + 1379. Is w\/(-6) + (-3)\/(-9) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqhh when four letters picked without replacement from {r: 1, q: 5, h: 5}?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29522 + -29490. Solve -428*s = -444*s + q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -11 - 12 - 11 - (3 + 3 - -3)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u*w**6*x - 5556*u*w*x**2 - 33251284*w**3*x**2 - 168*w**2*x - 5*x**2 wrt w?\nAnswer: -120*u*w**3*x - 199507704*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.65 + -0.15. Let h = -1.3 + k. Let c = 6.3 + -4.3. What is the closest to c in -5, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h = 15*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2, -3, 2\/17, 0.5, -2\/5, 43661?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12858a (base 13) in base 7?\nAnswer: -3541030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*o - 84. Let l = 254 + -261. Let d = l + o. Calculate the least common multiple of d and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 3*m, d - 4*m = -3*m. Suppose 2 = -o + 1. Let x be 0\/o + 3 - d. Let y(t) = -t**3 + 4*t**2 - 2*t + 1. What is y(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/3032360?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -25055 divided by -2?\nAnswer: 25055\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*i**2*m**3*z + 17*i*z - 9*m**3*z + 7*m**3 - z wrt i.\nAnswer: -18*i*m**3*z + 17*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-12)\/(-27))\/1 + (-187220)\/(-36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4*m**4)*(2 - 4 - 1) + (2 - 5 - 2)*(-m + m + m**4).\nAnswer: -17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59806\/3 - 5681386\/285. Let w = l - -2\/95. Factor 2\/3*o**2 + 0 + w*o.\nAnswer: 2*o*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32031213 (base 4) in base 7?\nAnswer: 331503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341149666 - 1987?\nAnswer: 1341147679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wccccwwccwccccwwccw. What is prob of sequence wcww?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/3)\/((-117)\/(-26)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3\/2 - 115*r**2\/2 - 235*r - 180.\nAnswer: -5*(r + 1)*(r + 4)*(r + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 1. Let u be f(3). Suppose -u*g = 4 + 11. Let t be g\/2*1\/(-9). Which is the third biggest value? (a) -2\/3 (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.065 and 13.6?\nAnswer: -0.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-945)\/(-75) + -12 + 43\/(-55). Put -1\/8, t, -2\/19, 5 in descending order.\nAnswer: 5, -2\/19, -1\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13800839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blp when three letters picked without replacement from {l: 1, x: 2, b: 2, p: 1, d: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1706031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 - 40. Let m(k) = 5 - a - 3 + 2*k + 3. Give m(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2667 + -0.0333. Let j = -0.4 + 0.5. Let x = 0.1 - j. What is the third biggest value in -3, n, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**3 - 4*r**3 + 6*r**3 + 5*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/2)\/(11 + 150\/(-14)). Let d(b) = -21*b + 314. Let k be d(f). Solve k*m = 23*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4 + 2*z**3 - 2*z**4 + 0 + 0 - 4*z**2 in the form i*z**3 + d*z**4 + t*z**2 + n*z + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23162040 - 34*v**2 + 23162040.\nAnswer: -34*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 340410031 + -4?\nAnswer: 340410023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1. Suppose 2*l = -q - q + 12, 3*q - 2 = l. Let t be 4\/(-28)*(q - (-44)\/(-8)). What is the nearest to g in 3, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) -2\/497 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15255, 17833, 20411, 22989, 25567, 28145?\n\"Answer: 2578*b + 12677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**3 + 3*w**2 + 3*w + 73. Let d(o) = 7*o**3 + 4*o**2 + 4*o + 73. Give 3*d(l) - 4*s(l).\nAnswer: l**3 - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1\/5, 140 in decreasing order.\nAnswer: 140, 15, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -470 divided by -6?\nAnswer: 235\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -698639 and -698614 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33049.\nAnswer: 33049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009503 rounded to six decimal places?\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/9 - 116*b\/9 + 1682\/9 = 0. What is b?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53)\/(-212))\/((-5)\/(-180)*-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107139?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**2 + 3*x + 27. What is c(9)?\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -11 (b) -1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81096 divided by -169?\nAnswer: -81096\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.23 + 9.3. Which is the biggest value? (a) n (b) -0.4 (c) 2\/5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 28, 51, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 484*w**3 + 792*w**2 + 324*w.\nAnswer: 4*w*(11*w + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-6*(5 + 2 + sqrt(12)\/sqrt(4) + -1 + sqrt(432))*2)**2)*-3.\nAnswer: -234564 - 67392*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20891.\nAnswer: 13, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40.9 + -12253396.\nAnswer: -12253355.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25647 or -0.1?\nAnswer: 25647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -5. Calculate the remainder when 38 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 8:09 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317749.1ml to litres.\nAnswer: 317.7491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95523789 a multiple of 1398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o + 2. Let i(p) = p + 1. Calculate -5*i(b) + 2*r(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 241 = 2*i - 263, -4*c + 2*i - 5*i + 32 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/20 and 107\/32580.\nAnswer: 32580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4653.5 - -4654. What is the third smallest value in -166, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 13242*x + 13213*x - 1)*(4*x + 0*x - 2*x + 2) in the form k*x + s + q*x**2 and give k.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -673, -674, -675, -676, -677, -678?\n\"Answer: -b - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1098 and 296826?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/1513 in 6, -3, -44?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62757 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -73, -41, 3, 5, 2 in descending order.\nAnswer: 5, 3, 2, -5, -41, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*w + 32 - 100 + 23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddivppppi. What is prob of sequence ii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 962972*o*p + 446*o + 711 with respect to p.\nAnswer: 962972*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -5, -0.214, -3, -2\/9 in descending order.\nAnswer: -0.2, -0.214, -2\/9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 5*d - 43. Let h be a(11). Find the second derivative of 74*j**3 - 14*j**5 - j**3 - 8*j**5 + 36*j + h*j**5 wrt j.\nAnswer: 20*j**3 + 438*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, s: 2, h: 2, r: 1, l: 2, c: 5}. What is prob of sequence hpp?\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v + 4. Let h = v - -9. Suppose 3*n = -0*n + f - 6, -2*n = 4*f - 10. Sort 4, h, n in decreasing order.\nAnswer: h, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42475743.\nAnswer: 3, 349, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327368 is divided by 81839?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 3587. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 4. Let u(s) be the second derivative of 2*s**3\/3 - 3*s**2 - 3*s. Calculate the smallest common multiple of x(-7) and u(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 193, 1000, 3063, 7018, 13501, 23148, 36595?\n\"Answer: 106*f**3 - 8*f**2 + 89*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 315*z - 12?\nAnswer: 315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13422 + -15400?\nAnswer: -32122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (-4)\/1)\/(28\/14)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g - 11 = -3*h, -g + 5 = 3*h. Suppose 4 = h*w - 0. Solve -12 = -w*o - 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/((-9)\/3) + -3. Let b(n) = 0*n**x + n + 2*n + 3 + n + 3*n**2. Calculate b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.91862 hours to seconds.\nAnswer: 284107.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -402*(3 + 342\/(-99)). Is 183 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2604, 9901, 21886, 38553, 59896, 85909, 116586, 151921?\nAnswer: 191908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (2 - (-1 + 3)). Suppose -v + 6 = t. Suppose t*x - 12 = 44. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*g. Let j(u) = -1. Let l(w) = w**2 + 1. Let s be 12\/9*(-3)\/(-2). What is g*l(k) + s*j(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 386916 and 39108?\nAnswer: 1260959244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 9067*v - 126934. What is q(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*a - 3*x, 2*x = 23*a - 27*a + 8. What is the least common multiple of a and 457?\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4. Let a(f) = -2*f**2 - f + 1. Calculate 2*a(w) + 2*h(w).\nAnswer: -4*w**2 - 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 43 = -152. Let n = -16 - h. Let m = 24 - 11. What is the remainder when n is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*q - 23*q - 15*q**3 - q**3 + 47*q - 34*q.\nAnswer: -16*q**3 - 132*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1147 = -h + 476. Suppose h - 783 = 5*p. Which is smaller: p or 169?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(-2)\/m)\/m*m*m**(-3\/7)\/m*m*m*m**(3\/8)\/m*m\/m**(3\/8))**(1\/30) assuming m is positive.\nAnswer: m**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/22)*n*n)\/n)\/((n**(-2\/19)\/n)\/n))**(1\/33) assuming n is positive.\nAnswer: n**(1279\/13794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -218 and -1?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 459?\nAnswer: -458.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13182 divided by 3.\nAnswer: 4394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 4:38 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (17\/5)\/(((-55)\/(-30))\/(4\/12*11))\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 0.06 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9499 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9028 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/11 (b) -2 (c) 0.69 (d) 49 (e) 2\/9 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*f - 387*f + 93*f + 109*f + 27*f**3 + 97*f - 5*f**2.\nAnswer: 27*f**3 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 - 1 + (3 - 4 + 2)*(21 + 17 - 33))*(-4*y - 4*y + 6*y) to the form w + r*y and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2 + 2)*(-4*u**3 - 6*u**3 + 6*u**3).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 171675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-20)*4\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140730120 divided by -31032.\nAnswer: -4535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = -3*i + 3*l, 4*i + 4*l = -l + 825. What is the greatest common factor of i and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45086716?\nAnswer: 2, 23, 41, 11953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f*(f*f\/(f*f*f*f\/f**16*f*f))\/f))*f**15)**(9\/4) assuming f is positive.\nAnswer: f**(117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 3, 10623, 74 in decreasing order.\nAnswer: 10623, 74, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64542*q**3 + 129127*q**3 - 64590*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -1000343334?\nAnswer: 1000343350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 236947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3130, 6313, 9496, 12679, 15862, 19045?\nAnswer: 22228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 8:17 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + h**2 - 3*h + 2. Let m(q) = -1. Let z(w) = 5. Let t(i) = 11*m(i) + 2*z(i). Let j(s) = n(s) - t(s). Determine j(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 4172.\nAnswer: 4172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068 at most 2207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 343072586 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/13 + 1778*q**3\/13 - 117110*q**2\/13 + 154350*q.\nAnswer: -2*q*(q - 819)*(q - 35)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2295 is divided by 495?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -7. Let j(i) = -2*i**3 + 15*i**2 - 8*i + 9. Let n be j(7). Suppose 3*a = n*a + x. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 142 in -96, -0.1, -1\/3, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*l + 17820 = 109*l. Is l < 1485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/4644459381 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23476 + -0.5.\nAnswer: -23476.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 0*g**3 + 0*g**6 + 0*g + 0*g**5 - 1\/4*g**4 + 6*g**2 + 0*g**7 - 5\/336*g**8 + 0. What is the second derivative of i(v) wrt v?\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920362?\nAnswer: 2, 460181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -21173611, -2, 3 in increasing order.\nAnswer: -21173611, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3 + 226030*m**2 + 452074*m - 678102 = 0 for m.\nAnswer: -3, 1, 113017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2602079235?\nAnswer: 3, 5, 7, 305947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.018786 (c) -6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363628.\nAnswer: 2, 90907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:02 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 367.9839832 - 367.634. Let y = f - 0.35. Round y to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1124.948369 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 10:12 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 72*a**2 - 81*a + 150.\nAnswer: 3*(a - 25)*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5 - 127*y**4 - 930*y**3 - 2367*y**2 - 1998*y = 0.\nAnswer: -111\/2, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = -0*n + k, -5 = -2*n + 3*k. Suppose -v - 22 = 3*p + v, -32 = n*p + 4*v. Let a be 0 + p\/2 + 6. Solve -d = a*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3128, -3134, -3138, -3140, -3140?\n\"Answer: l**2 - 9*l - 3120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 985557 > 18725571\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47223 is divided by 488?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k**2. Let p(m) = 17*m. Let d(n) = 15*n. Let z(y) = 6*d(y) - 5*p(y). Determine z(i(r)).\nAnswer: 55*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h + 36 + 48. Let y = h + 30. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-1)*(-14)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(44)\/sqrt(4)) - sqrt(8)\/sqrt(4)*-1) + -2 + (2 + 3 + (1 + sqrt(200) - sqrt(200)))**2.\nAnswer: 2*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0.5. Let d be 4*1\/(1\/1). Let q be (5\/(-15))\/((-2)\/d). What is the closest to 0.1 in b, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -36.1?\nAnswer: 31.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2*2)\/2)\/(1*(-206)\/309)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 + 4*g. Let n(w) = -3*w + 6 + 2*w - 3. Let s be n(7). Let p = 9 + s. Let t(u) = -2*u**3 - 5*u. What is p*d(v) + 4*t(v)?\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3989 times 28.7\nAnswer: -114484.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2*z + 7*x + 6, 5*z + 2*x + 15 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1617 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128.5255 nanograms to grams.\nAnswer: 0.0000001285255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2\/5 - 5076912*d\/5 = 0.\nAnswer: 0, 2538456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (5 - (-2 - (-4 - 14)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v + 1. Suppose -10*p - 23 = -33. Calculate x(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 0*t**3 + 0*t**2 + 83\/3*t**4 + 101\/20*t**5 + 2*t - 107. Find the third derivative of b(v) wrt v.\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100.511 - -1956102190.\nAnswer: 1956102089.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/8 - 6989*d**2\/4 - 6987*d.\nAnswer: -d*(d + 4)*(d + 13974)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 10:34 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132025 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, k: 1, g: 16}. What is prob of picking 1 g, 1 l, and 1 k?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j\/j**0))\/j*j)\/j)**(-1\/32)*(j**(-2\/5)*j)**(-10) assuming j is positive.\nAnswer: j**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 8*t + 6. Let c be f(-8). Let s be (1 - (-18)\/(-10))\/((-3)\/15). Let b be (-1 + s)\/(((-3)\/(-5))\/1). Which is bigger: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.02 times -22.9423?\nAnswer: -390.477946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0*o**4 + 0*o**5 + 0*o**6 + 0*o + 0 - 2*o**2 + 1\/2*o**3 - 1\/70*o**7. What is the first derivative of p(q) wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -1545.\nAnswer: -7\/1545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -14 - (-26 + 1 - 5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233676\/30 + 5 + (-130)\/25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 + 2*a**4 - a**4 + (734 + 206*a - 734)*(6 - 2*a**3 - 6).\nAnswer: -414*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1195019622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 154751.6 centuries in years?\nAnswer: 15475160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*o + 501 = -0*l, 2*l - 5*o = 189. Calculate the lowest common multiple of 11 and l.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19196, 19208, 19210, 19196, 19160?\nAnswer: 19096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 + -104. Solve -5*w = -4*h - 32, -3*h - 3*w + i = -0*w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -16*l**3 - 4*l**2 + 17*l**3 + 16 + 11*l - 24*l + 12*l**2. Let n be w(-8). Let v be (-122)\/(-8) - 2\/8. What is the highest common factor of n and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15308.\nAnswer: 2, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 29.2\nAnswer: -116.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.3, 5\/12 in increasing order.\nAnswer: -0.3, 5\/12, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**3 + 15*b**2 + 35*b - 112. Determine a(5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/120 and -23\/576?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7639*v - 50 + 239 - 191 in the form c + i*v and give i.\nAnswer: 7639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 15*r = -144. Let c = r - 29. Let y = -0.092 - -0.092. Is c < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*w - 6. Let q(u) = u**2 + 9*u + 4. Let j be q(w). Let v be 2*j\/((-24)\/9). Put -4, v, 7 in increasing order.\nAnswer: -4, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-24)\/(3\/(-1)))\/(6\/(-3)))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015 (base 6) in base 15?\nAnswer: 1e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**3 + 4695*s**2 - 9375*s + 4685 = 0.\nAnswer: 1, 937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**3\/6 - 5*u**2\/2 + 2*u. Let p be b(4). Let d = 3453\/17 + -203. Which is smaller: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - 2*w + 0*w + (2 - 5 + 5)*(-4 + 3 + 3)*(21*w + 21*w + 13*w) to x*w + h and give x.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1776 - -1902. Let i = -20 + 38. Calculate the greatest common divisor of i and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 + 12*y + 51. What is p(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236026240 and 480.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a. Let l be s(-2). Suppose 0 = 2*c + l*c. Let y(j) = -j + 2. Calculate y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 15 = -2*o + 6, 2 = 2*z. Let i(g) = -12*g**3 - g**2 - 2*g - 1. What is the least common multiple of i(-1) and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) - 1*sqrt(80)*-1))*6)**2*2 + 3.\nAnswer: 5763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2396 and -472060.\nAnswer: -474456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 27*v**2 + 198*v - 174. Let n be b(14). Solve -n*z - 3*y + 11 = -46*z, -3*z - 3*y = -12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from llgqttllgbgtl.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/(7\/(-56)). Let c = v + 73\/42. What is the common denominator of 95\/24 and c?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*k + 13384 + 4256. Calculate the greatest common divisor of 20 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22c3 + 2?\nAnswer: 22c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + a - 1. Let l be k(1). Suppose -5*b + 0*o - 4 = -o, -12 = -4*b - 3*o. Suppose b = 9*x - 78 + 33. Solve -i - i + x = -w, l*w = 2*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 6, 5, -0.5, 3, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 894\/12 + (-2)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**3 + 3*u**2 + 4*u + 4. What is v(-3)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 0*c**2 - 5*c**2 - 2*c**2 + 5*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19) + 0 + sqrt(209)\/(2*sqrt(11)) - (1 + sqrt(1900))*-1)**2 - (((sqrt(2736) - 3*sqrt(2736)*2) + -2)**2 + -1).\nAnswer: -263545\/4 - 194*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*r - r**3 + 862*r + 2*r**3 - 430*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**2 + 4*w - 5. Let o(d) = -38*d**2 + 22*d - 27. Let t(y) = 11*n(y) - 2*o(y). Let j(u) = -2*u**2 - 31*u - 3. What is -j(k) + 3*t(k)?\nAnswer: -k**2 + 31*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, 0.1, -0.3, 4\/139, -1\/3, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, d: 3, p: 2, q: 5, u: 2}. What is prob of picking 1 q and 1 d?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.3, 2, -2\/11, -0.4, 6\/2341?\nAnswer: 6\/2341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -8*h - 725. Let q be c(-91). Factor -15\/4*v**2 - 5\/4 - 15\/4*v - 5\/4*v**q.\nAnswer: -5*(v + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in -1\/8, -0.1, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-3)\/(-17)*3026\/(-356)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-25) + (-48)\/270?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 228114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4 + 2. Solve y*l = 4*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -25*t**2 - 149*t - 1269. Let m(g) = -6*g**2 - 33*g - 317. What is 9*m(y) - 2*n(y)?\nAnswer: -4*y**2 + y - 315","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42520770 rounded to the nearest one million?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043406657 is divided by 145.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j**2 - 6*j**2 + 0*j**5 - 6*j**4 + 3*j**5 + 3*j**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = -4*j, 0*u + 2*j - 8 = -2*u. Suppose 3*n - 99 = -3*s, -u*n + 8 = s - 34. What is s rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22477935 by 5.\nAnswer: -4495587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -135*y - 16841. Let h be j(-125). Solve h*d = -180 + 78 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czno when four letters picked without replacement from cnnztonzotnstnt?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (3 - 1) - 63\/12\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96955*s + 0*s**2 - 193836*s - 3*s**2 + 96881*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21371\/8 - 5323\/2. Let v = 16933 + -372637\/22. Find the common denominator of y and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 349, -2\/7, 28, 8, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**2 - 41*q + 40. Let v(k) = -5*k. What is c(v(j))?\nAnswer: -150*j**2 + 205*j + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - z + z)*(12 + 5 + 38) to the form l*z + r and give l.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*d**3*u**2 - 2*c*d**3*z + c*d**2*u*z + c*d**2*u - 2*d**3*u*z**2 + d*u**2 - 3*d*u*z**2 wrt d.\nAnswer: 12*c*u**2 - 12*c*z - 12*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -357278*x**3 + 10*x**2 - 7*x**2 - 5*x**4 + 357250*x**3 - 11199 wrt x?\nAnswer: -20*x**3 - 84*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 94?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18742 is divided by 2180.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (9 - 6 - 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 338891883 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*u**2 + 5*u**2 + 4*u**2)*((0*u - 4*u + 3*u)*(0*u + 2*u - u) - 3*u**2 - 2*u**2 + 4*u**2 + 2*u**2 - u**2 + 0*u**2).\nAnswer: 11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.1 - -41. Which is the fourth biggest value? (a) -4\/7 (b) 1 (c) -0.4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/((-15)\/(-10)))\/17. What is the closest to 0.1 in r, 3\/4, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3))**38)**39\/((p*p**(-2\/7))**(-6)*p**(-9)\/p*p**(2\/9)) assuming p is positive.\nAnswer: p**(-61358\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 16. Let h be f(-3). Suppose 0 = -h*c + 11*c - 8. Suppose 48 = c*l - 2*n, 0 = l + 2*l + 5*n - 56. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-714))\/(-1*3\/6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8567\/8 + -1071. Sort l, 2, -0.3, -4, 4 in decreasing order.\nAnswer: 4, 2, l, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 4, -116, 6, -26 in decreasing order.\nAnswer: 6, 4, -3, -4, -26, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**2 + 97*b - 119. Calculate s(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4300 and 946?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-570)\/(-4845)*(-510)\/(-6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1064.5 + -1066.5. What is the third biggest value in 11, 2\/5, 1\/9, w?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 - 6 = 0. Suppose 2*s - 3 = 1. Is 2126\/l + (-1 - s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**2\/2 - 4*p + 1. Let a(z) = z**3 - 43*z**2 + 106*z + 549. Let h be a(40). Give g(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*u)*(-u + 4 - 4) + (-11 - 2 - 14)*(0*u**2 + 5*u**2 + 2*u**2).\nAnswer: -187*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + t = 4, -4*o + 20 = -0*t + 5*t. Let v = 1248 + -1251. Let d = o + v. Sort d, 1, 5.\nAnswer: d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((2*sqrt(320) + -3 - 1*sqrt(320)*-5)*-2)**2 + 0).\nAnswer: -62756 + 1344*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2449507443 - -10.\nAnswer: -2449507433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*u = 192*u - 48. Calculate the highest common divisor of 33 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**3\/3 - 5*t**2\/2 - 4*t - 3. Suppose x = -7*m + 9*m + 303, -1507 = -5*x + 2*m. Let k = x - 304. What is c(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 600054951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/9 and -71\/7408704.\nAnswer: 22226112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1012 - -156633?\nAnswer: 155621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (802*a - 1481*a - 937*a)*(-2*a - 2*a**3 + 2*a) + (2 - 2 - a**4)*(-3 + 1 + 0) + 0*a**3 + 0*a**3 - a**4.\nAnswer: 3233*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334, 1244, 2154?\nAnswer: 3064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.253109 nanometers?\nAnswer: 0.001253109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8431 + 40554. What are the prime factors of f?\nAnswer: 7, 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + 1 - 2*j + 230*j**3 - 3*j**4 - 222*j**3 - 13*j in the form l + m*j**4 + q*j**3 + w*j**2 + c*j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312339?\nAnswer: 3, 104113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(99)*1 + 2)**2.\nAnswer: 42*sqrt(11) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -550798 times -0.4\nAnswer: 220319.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 + 12*t**2 - 2*t - 14. Let g be l(-6). Is 10 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122 * 0.2.\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjo. Give prob of sequence ojj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 12*s + 14. Let u be z(7). Let b = 0 + u. Solve n - 2 = -b*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 112121?\nAnswer: 112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a - 215. Let q be n(27). Suppose 3*f - 3*w - 2061 = 0, -27*f + 2*w - 690 = -q*f. What are the prime factors of f?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5 + sqrt(1872) + 0)*1)**2*-1 + 0 + -3.\nAnswer: -1939 - 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 - 10*l**3 + 29 - 46 - 3 + 8 in the form d*l**3 + w + g*l + b*l**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 72*l**4 + 135*l**2 + 33*l. Let y(k) = -9*k**4 - 17*k**2 - 4*k. Let b(z) = -4*d(z) - 33*y(z). What is the third derivative of b(t) wrt t?\nAnswer: 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5614, -5284, -4954, -4624?\nAnswer: -4294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and -1\/4443 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 88, 1653, 6206, 15241, 30252, 52733?\n\"Answer: 249*i**3 - 178*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -19 - (21 + (-16 - 15))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from aooooooaoaoo?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooe. Give prob of picking 1 o and 1 e.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**5*r)\/r)\/(r*r*r*r**(-3\/14)\/r*r*r*r))\/(((r*r\/(r\/r**(-5\/7)))\/r*r)\/((r\/r**7)\/r)) assuming r is positive.\nAnswer: r**(-99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571*w - 9100 = 4033 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19144 divided by -2393.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 394384 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 5:38 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4098064 is divided by 287.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872 divided by 234?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3 + 24810*j**2 + 347046*j + 1214318 = 0.\nAnswer: -12391, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -20 - (60 + -72)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.042 in 0.2, 6, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4 + 3*d - 1 + 2*d + 0. Let o be a(5). Let z(b) = -5*b - 41. Let l be z(-11). Calculate the greatest common factor of l and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/23, -1, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -1\/12*q**4 + 2*q**2 + 0*q + 0 - 1\/20*q**5 - 1\/120*q**6 - 5\/6*q**3. Is o(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 277483.\nAnswer: 277479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 3*v**2\/2 - 7. Let r = 8 - 4. What are the prime factors of b(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.83 - -14. What is the nearest to 3 in t, -2, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -99*y + 2. Let k = -9 - -7. Let h be w(k). What is h rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u = 74. Let s = -25 + u. Suppose 3*a + 3*v - s = 3, 4*v + 15 = a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/(sqrt(24)\/sqrt(6)))\/sqrt(11))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 - 7\/(-12). Let m be 2\/(2*2\/(-4)). Let s = m + 2. Is s at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**7\/42 - 7*j**6\/3 - 827*j**5\/10 - 3404*j**4\/3 - 8993*j**3\/6 + 12167*j**2 - 18*j + 4. Find i, given that c(i) = 0.\nAnswer: -23, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089978 is divided by 11976.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-1\/23))**(-7)*(k\/(k*k**(6\/5)\/k*k*k))\/k**(3\/8) assuming k is positive.\nAnswer: k**(-14969\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -159.88 - -162.88. What is the second smallest value in 3\/7, 333, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0094 + -0.3906. Let o = -3 - -3. What is the second biggest value in h, o, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/3 + 2\/6. Let l be (-6)\/4*n\/3. Solve 0 = -4*o + v - 18, -2*o = 3*o - l*v + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 180 and 0.06.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - 0 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118944\/(-54))\/118*6\/(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 240 + -239.37. Let n = -1370 - -1378.43. Let t = n - y. Round t to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 978569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36120 + 47843. What is the highest common divisor of p and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -342 - -361. Solve w*j - 22 = 8*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -3207\/380 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 990266, 989953, 989640, 989327, 989014, 988701?\n\"Answer: -313*a + 990579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -1227.9\nAnswer: 1216.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9 + 2*u - 3*u - 5*u. Let d be q(-5). Calculate the greatest common divisor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/10 - (1355\/(-2) + -1). Let p = 1475 - c. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7716 + 5?\nAnswer: -7711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9746 + -4)*(-4)\/(-6). What is m rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 615284657 by -13.\nAnswer: -47329589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**(-3\/4)*h**7*h*h**(-4\/5))\/(((h*h*h**6*h)\/h**(-3))\/(h**0*h)**(13\/3)) assuming h is positive.\nAnswer: h**(-73\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/59 + 52\/649. What is the third smallest value in 1\/5, 72, s?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2916892 to the nearest integer?\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 474992.3 millimeters in centimeters?\nAnswer: 47499.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -778 + 777.6. Put 26\/9, 0.3, x in descending order.\nAnswer: 26\/9, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djjhkuj. What is prob of picking 1 h and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10255 divided by 1.\nAnswer: -10255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = 3*h - 2*y, 4*h = -h + 2*y + 756. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.1 + -10. Let n = -695.9 + 700. Let y = d - n. Which is the nearest to -0.2? (a) 1 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/9864 and 1\/432.\nAnswer: 59184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 324*t**2. Let z(g) = -9*g. Determine z(u(x)).\nAnswer: -2916*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/15)\/(3\/(31 - 1)). Let a(u) = -u**2 - 18*u - 3. What is the units digit of a(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 e when four letters picked without replacement from {e: 3, l: 1, i: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + (3 + -5 - -21)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 4:21 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, 10, 26, 64, 130, 230, 370, 556?\n\"Answer: t**3 + 2*t**2 - 13*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/6 + -1)\/(112\/(-1512)). Suppose -4*p - m = -17. Let l(h) = h**3 + 2*h**2 - h + 2. Give l(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Differentiate -4*l + 8*l**b + l + 3*l - 9 wrt l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 754\/(-3960) + (-4)\/(-10) - 40178\/220979?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccccccccckkcc. Give prob of picking 3 c and 1 k.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 15297.601 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - q = 18, -z = -3*q - 8 + 6. Which is smaller: -11\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkktrarokkoko. Give prob of sequence rkr.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, c: 9}. Give prob of picking 2 q and 1 c.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*v + 485224 - 1245929 = 681519. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -167, -174, -181, -188, -195?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 170, 177, 184, 191, 198, 205?\n\"Answer: 7*k + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*b + 3071, 3*g + 2*g + 4*b = 7595. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5 - 158*j**4 - 5581*j**3 + 51808*j**2 - 135124*j + 110224 = 0 for j.\nAnswer: -83, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at most -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-212)\/(-5) + (-6)\/15. Suppose 30 = 6*m - 6. Calculate the highest common divisor of n and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*m + 57*m + 119*m + 13 - 8.\nAnswer: 247*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - 2)*((-25)\/(-10) + -3). Let m(u) = u**3 + 5*u**2 + 3*u - 2. Let d be m(-4). Let s = -2 + d. Put 3, s, l in ascending order.\nAnswer: l, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000239351934 to 6 dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 382448 and 88.\nAnswer: 382448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8556, -8553, -8548, -8541?\n\"Answer: j**2 - 8557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**5\/17 + 26*o**4\/17 + 50*o**3\/17 + 16*o**2\/17 - 24*o\/17 = 0.\nAnswer: -3, -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/575 or 0?\nAnswer: 7\/575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 - 91. Suppose -6*r = 5*i - r - 5, -2*r = -3*i + 3. Calculate the highest common divisor of i and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -1\/4*w**4 - 3\/2*w**2 - 2*w - 2*w**3 - 13. Calculate j(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -676, 435, 6, -4, -10 in ascending order.\nAnswer: -676, -10, -4, -1, 6, 435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 11 = -10*n + 5*n, -4*n + 12 = -4*z. Let f be -1 - 26\/(-18)*1. Let h = 5.4 + 1.6. Which is the closest to z? (a) -5 (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4288, -4284, -4280?\nAnswer: -4276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (88\/11)\/(16\/4). Determine i so that 4\/3*i**x + 0 + 0*i = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/(((f**(-5)*f)\/f)\/f))**(1\/5)*(f**1)**(2\/19)\/(f*f**(-1\/2))**(-49) assuming f is positive.\nAnswer: f**(4713\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39992394 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 0*y + 0*y - 8*y**2 + 14*y**2 - 1. What is the remainder when 19 is divided by p(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 2:00 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + 3*l**3 - 3*l**3 + (-4*l**2 + 0*l**2 + 3*l**2)*(-3*l + 3*l - 3*l) - 16*l**3 + 17*l**3 - l**2 + 12*l**3.\nAnswer: 15*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:32 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -50c85a (base 16) to base 9\nAnswer: -10858211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7108 minus 51566098?\nAnswer: -51573206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + 0. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, p: 5, j: 3, h: 3, s: 3}. Give prob of sequence sj.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 4*n**2 - 7*n + 9. Let d be q(3). Put 2, 35, d in descending order.\nAnswer: 35, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -170.01 + 170. Which is greater: -4\/9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5166*a*k + 21*a + 113 with respect to k.\nAnswer: -5166*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(450)*4)\/(1*sqrt(81)))\/(-5*sqrt(30)\/(sqrt(3) + (sqrt(75) - (sqrt(75) + 2*sqrt(75) + sqrt(75)) - sqrt(75)) + sqrt(75))))**2 + 0.\nAnswer: 12544\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 293692789\/(-1066520) + 2*1. Let x = s + -3\/20510. Let o = x + 273. Which is the nearest to 0? (a) -2\/5 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(13) + 1)**2 - (-2 + (sqrt(13) + -1)**2))*-3.\nAnswer: -12*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 3 - (38 - (-27 - -47))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-648) - (-2 + 31\/18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {p: 3, s: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 10*u**3 - 1. Suppose 0 = -5*h + q + 336, 3*q + 196 + 142 = 5*h. Let p = 68 - h. Calculate the least common multiple of 7 and k(p).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1304498409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 49 = 4*g + 84, -2*d = 10. Let b(u) = u**3 + 39*u**2 - 62*u + 65. Is b(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -75*y + 85*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/3)\/j*j)\/j)**40\/(((((j\/j**(1\/7))\/j)\/j)\/j)\/j**(-1\/2)))\/((j\/j**0)**(-27))**44 assuming j is positive.\nAnswer: j**(48845\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3. Let h(c) = -53 + 21 + 9 - c**3 + 23. Calculate 7*h(f) + 5*v(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 4 + -25 + (0 - 27)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 25393.36981 to zero dps.\nAnswer: 25393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*m**3 + 2074816*m**2 - 5*m - 126529606?\nAnswer: 12*m**2 + 4149632*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**2*g**3 - 2*b**2 + 2*b*g**2 + b + 4*g**6 - 2*g**3 wrt g?\nAnswer: -30*b**2 + 480*g**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1372571 and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 253 - 251. Let p be 7\/7*-3 + (1 - 1). Let x(t) = t**2 - 2. Let z(f) = -1. Give d*z(s) + p*x(s).\nAnswer: -3*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 4 + (17 + -16 + 12 - -20)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*c - 8. Let o be (c - 3)\/(1\/(-6)). Suppose j - o = -9. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*j = j - 20187, 15134 = 3*y + 2*j. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 + z**4 - 3*z**4)*(-208 + 184*z + 205 + 3).\nAnswer: -184*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8202 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/34972225 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 24*p**3 - p**2 + 1. Let y be w(1). Suppose 1 = 3*k - 11. Solve -2*o = n - 0*o - 7, -k*n + 5*o = y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**2 + 27*p + 6. Let l(a) = a**2 - 9*a - 2. Let t(k) = -7*l(k) - 2*s(k). Calculate t(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 + 123. Is (-3)\/9 + (-4184)\/(-6) + v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/75 of a minute?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -221565 + 304?\nAnswer: -221261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 i when three letters picked without replacement from isfiiwciwfswwcaffcfc.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*q - 0*d + 10, 2*q - 30 = -4*d. Suppose -s = -3*u - u - 58, 5*u = q*s - 65. Let k = 10 + u. Let y(l) = -l + 3. What is y(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 take away -1843018?\nAnswer: 1843223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2, 5*o = o + 3*i - 5. Sort -4, o, 0, 5 in descending order.\nAnswer: 5, 0, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -999 + 995. Sort 0, -16, 3, g, 5.\nAnswer: -16, g, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*x + 2. Solve 0 = -5*h + 5*j, x*j - 14 = -2*h + 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -204*x**2 + 150*x**2 + 140*x - 191*x**2 - 20.\nAnswer: -5*(7*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/1593 and -115\/1512.\nAnswer: 89208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1136918 and -0.2.\nAnswer: -0.3136918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2089686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 87 = 17*n. Suppose 2*i = 5*i - 3*m + 36, 0 = 2*i + 2*m + n. Let j(p) = p**3 + 8*p**2 - 1. Calculate j(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -5, -10867 in ascending order.\nAnswer: -10867, -5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - -199. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/12 and 41\/74478888.\nAnswer: 74478888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/8 - 196\/(-152). Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -2)\/(-5) - 0\/2. Suppose d - 8*d = -p*d. Solve d = u + 14 - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.2 + -1.8. Sort -0.4, z, -5 in increasing order.\nAnswer: z, -5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 5:53 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3*10)\/((-2*9\/(-40))\/((-620)\/(-6200)))\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124119 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/4)\/(70\/(-56)) - 20\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1519, -2, -18.\nAnswer: -1519, -18, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 1 g when three letters picked without replacement from {r: 1, z: 2, j: 1, g: 1, t: 2, u: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -507054, -507056, -507058, -507060?\nAnswer: -507062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1094.48 + -1119. Round o to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 2:26 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -250 + 238. Let w = 2 + -2.3. What is the closest to 0.1 in w, y, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6489092372?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 748.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21\/58 (b) 214 (c) 81 (d) 0.3 (e) -0.4 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2001 (base 3) to base 13\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20309 + 49062. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3361\/61732 - 8\/253. Calculate the common denominator of y and -24\/11.\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 - 5) + (-7 - -8))\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5795 = -96*h - 89*h - 2900 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/3))**(-22)*(n*n\/((n\/n**(-1\/5))\/n)*n*n)\/n**(5\/4))**(-5))**(-31) assuming n is positive.\nAnswer: n**(18383\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39982 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -206 + 191. Is 10\/25 - 28719\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/4*(-20)\/(-275). Let m(v) = -v**2 + 24*v + 1. Let g be m(24). Put q, g, -5 in descending order.\nAnswer: g, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -4\/75, -5, 1 in decreasing order.\nAnswer: 1, -4\/75, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 177, 160, -49, -450, -1043, -1828?\n\"Answer: -96*w**2 + 271*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-286 - -293) + -3 + -79.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 97. Let o be k\/(-6) - (-18)\/(-54). What is the third biggest value in o, 0, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19\/62 in -0.2, -2, -3, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -244, -435, -626, -817, -1008?\nAnswer: -1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by 23?\nAnswer: -52\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*r + 0*r + 6*r + (3*r + r - 2*r)*(-3 - 4 + 6) as p*r + m and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**2 - 3*c + 3. Let p(l) = -1. Let b(x) = 44*x - 749. Let r be b(17). What is r*g(a) - 5*p(a)?\nAnswer: -6*a**2 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j*j**(34\/5)\/j)))\/j**(-3) assuming j is positive.\nAnswer: j**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from igdfddggfgfggg.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 5 + 5 + -9. Let j(d) be the first derivative of 0*d**2 + l*d + 2 + 2\/3*d**3. Let z(g) = 4*g**2. What is z(j(u))?\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31167, 35467, 42649, 52725, 65707?\n\"Answer: 2*j**3 + 1429*j**2 - j + 29737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-11)\/y*y*y*y))\/y**(-4\/9)*((y*((y*(y\/(y**0*y))\/y*y)\/y)\/y*y*y)\/y)\/y*(y*y**(2\/3))\/y assuming y is positive.\nAnswer: y**(91\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111\/2 + 1015\/18. Let s = -6542\/9 + 728. Suppose s*r - 4\/9 + 2\/9*r**3 - d*r**2 = 0. What is r?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(198)*-2 + sqrt(198) + ((sqrt(198) + sqrt(198) + sqrt(198)*-1)*-5 - sqrt(198)))\/(sqrt(704) - 3*sqrt(704)*2 - (sqrt(704) + -6*2*sqrt(704))).\nAnswer: -7*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 2. Let g be b(3). Let q(a) = -a + 5*a + a + g. List the prime factors of q(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 1. Let g(h) = h**3 - 20*h**2 + 7*h + 19. Let f(c) = -g(c) + 3*v(c). What is the tens digit of f(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(7\/((-21)\/6)). Find s such that m*s + 0*s**2 + 0 + 1\/4*s**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375820\/12236*28\/30*(-3)\/2?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/231 and 73\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*u + 10*u, -4*b + 22 = u. Suppose 2*l - 3730 = -2*c, b*c - 7927 + 466 = -4*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13113 - 13143. What is the third smallest value in -0.3, 5\/9, 4\/5, b?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**5\/30 - 2*m**4\/3 - 4*m**3 - 92*m**2 + 50. Let j(p) be the second derivative of u(p). Factor j(q).\nAnswer: -2*(q + 2)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 5*j = 4*q - 450, 3*q - 332 = -j. What is the highest common divisor of 814 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 670 + -677.97. What is f rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8 + 9 + 7 - 10*o - 3*o wrt o.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 986155222 divided by -598\nAnswer: -1649089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 577, 534, 457, 340, 177, -38, -311, -648?\n\"Answer: -u**3 - 11*u**2 - 3*u + 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2024589 is divided by 261?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.3 + 5.7. Let m = 2 + -2.2. Which is the nearest to -2? (a) g (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + z**2 - 3*z + 2. Let s be r(-3). Let y(h) = h**3 - 12*h**2 - 14. Let f be y(12). Let v = s - f. Solve v - 1 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-34) - (-111916)\/476?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26311 is divided by 61.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = -2*m - 4*r, -27 = -5*m + 2*r. Suppose -3*y - 3*x + 9 = -0, 0 = -m*x + 10. Solve 0 = 4*u + y + 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32.6 and 11727506.\nAnswer: 11727538.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 + 3*w**4 - 5*w**4)*(1 - w - 1) - 6 - w**5 + 6 + (-w**2 - 3*w**2 + 5*w**2)*(0*w**3 + w**3 + w**3).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 + 14*q**2 - 9*q - 17. Let y(s) be the second derivative of s**5\/20 + 5*s**4\/12 - s**3\/2 - 3*s**2 + 3*s + 97. Determine 6*g(l) - 17*y(l).\nAnswer: l**3 - l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15587.8671 rounded to the nearest ten?\nAnswer: -15590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 3. Let u(y) = -2. Let o(a) = -2*q(a) + 3*u(a). Let f(c) = 6*c - 2*c + 3*c + 0*c. What is o(f(x))?\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, 290, 747, 1198, 1643?\nAnswer: 2082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 5, 4, 1 in ascending order.\nAnswer: -21, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**8\/840 - 2*w**7\/525 + w**5\/75 + w**4\/60 - 8*w**2. Suppose h(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 409804 and -3.91520647.\nAnswer: 409800.08479353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.28 + -0.28. Let y = 12.65 - z. What is y rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/12070 and 79\/324825.\nAnswer: 11044050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, e: 8, i: 2, o: 1}. What is prob of picking 2 t?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9665, 19344, 29023, 38702, 48381, 58060?\nAnswer: 67739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7140463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2033222 by -2.\nAnswer: 1016611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104*121.\nAnswer: -12584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d - 4*d**5 - 1235*d**6 + 1964*d**2 + 1233*d**6 - 3*d - 23*d**4 wrt d?\nAnswer: -240*d**3 - 240*d**2 - 552*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9831 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 2*n - 3. Let g be l(-3). Let f = 39 - g. Suppose -350 = f*s - 14*s. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k**2 + 6*k - 10. Calculate the remainder when m(2) is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -226 + 382. What is the greatest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6041 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*a - 303*a + 24 = -4*f, 3*a + 3*f + 27 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**2 - 19907238*c + 33024843732387 = 0.\nAnswer: 3317873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(0\/(-9 + 6) + -1). Let c = 2 + 0. Find the third derivative of i**2 - 4*i**4 + 3*i**c + i**5 + 4*i**l wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 26*p - 50*p. Solve -a = -p*d - 0*a - 12, 5*a + 28 = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-72)\/(-638) - (-40)\/580. Which is the nearest to 1? (a) 6 (b) 0 (c) 1.05 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*g + 34553 = -1107*g + 13907 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 8) to base 3.\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + -57. Suppose -x*b + 1 = -19. Suppose -b*h - 1130 = -14*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2553839 divided by -6.\nAnswer: -2553839\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 4*g**2 + 17*g**2 + (2 - 3*g - 2)*(-2*g - g + 0*g)*(1 + 1 - 5).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -20*d**2 - 1 - 16 + 3. Let v(n) be the second derivative of 7*n**4\/12 + 5*n**2\/2 + 227*n. Let h be 140\/8 + 3\/(-6). Determine h*v(q) + 6*r(q).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in -2\/15, 9, 7\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f - 278. Suppose 487 + 1577 = 8*j. Let c = j + f. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 - 32 + 3)*(3*j - 9*j - 3*j + (-2 + j + 2)*(-3 + 3 + 1) - 2*j - 2*j + j).\nAnswer: 1012*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 451 - 428. Suppose 13*z + x*z = 15624. Calculate the least common multiple of 6 and z.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001100100001001010 + 10101?\nAnswer: -1111001100100000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 407\/5 <= 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1069460 to the nearest 10000.\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10316*n + 20692*n + 17*n**2 - 10376*n.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 - -2.3. Sort -1\/2, 0.1, f, 2 in decreasing order.\nAnswer: 2, f, 0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*a*b*v + 424*a*b - 2*a*v + 343672*b + 2*v with respect to a.\nAnswer: 12*b*v + 424*b - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29287 greater than or equal to 29289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 1, u: 2}. What is prob of sequence ju?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*c + 318*c - 1570 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-14)\/735)\/((-6)\/((-180)\/(-6)))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -181 - -4d5ca?\nAnswer: 4d449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22.3 times -10.6539\nAnswer: -237.58197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-6))\/((-5)\/(-30)). Suppose 0 = -t + 4, -z*w + 89 = -2*t - 395. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + 5*z + 4*z - 3*z + z + (1 - 3 + 1)*(-z + 3*z - 5*z) - z + 3 - 3)*(-2*z - 2 + 2).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16866304 by -81088.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 9. Let w be o(-6). Suppose w + 5 = -2*k. Is (-12)\/k*26\/3 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2608 + 2616. Which is smaller: 128\/15 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 233 = -2*y, 2*a - 2*y = -0*a + 152. Is 27 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from {c: 5, f: 1, u: 1, k: 3, x: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -21*s**2 - 5. Let v(y) = 10*y**2 + 3. Let a(u) = -3*k(u) - 5*v(u). Let f(n) = -4*n. Let m(w) = 5*w. Let o(g) = 6*f(g) + 5*m(g). What is o(a(j))?\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 125592954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 7) in base 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n - 10. Let y be p(-5). Suppose 27*v = y*v - 6. Which is smaller: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8607571 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**3 - 22*p**2 - 9*p + 18. Calculate y(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*y = 72*y - 782*y + 18414 - 2748 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-7\/6)*g**(11\/2)*g assuming g is positive.\nAnswer: g**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 181, 188, 163, 94?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918a8 (base 14) in base 11?\nAnswer: 89429a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*r - 1856 = 3*l - 169*r + 339*r - 6047, 5*r - 85 = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*q - 27 = 0, -5*q = 2*i + 3*i + 95. Let p = -9 - i. Suppose -5*z + 3*z + 519 = p*n, 0 = -5*n + 2*z + 511. Is n a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1785, 3262, 4739?\nAnswer: 6216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 336104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 101857967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 1. Let h(b) = -2*b. Let t = 29 + -34. Let m(l) = t*d(l) + h(l). Calculate m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-9)*h)\/((h**(2\/11)*h*h)\/h*h))\/(h**7\/(h\/(h*h**(2\/11)))) assuming h is positive.\nAnswer: h**(18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -7. Suppose -b*o + 5*j + 76 = 0, -4*o + 3*o = -j - 19. Calculate the remainder when o is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/7 - -8\/21. Which is the second biggest value? (a) -0.5 (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h - 9. Let n(o) = 5*o - 13. Let c(x) = -5*n(x) + 7*z(x). Let f be 3886\/938 - 1\/7. Determine c(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 2, 0 in descending order.\nAnswer: 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4696 - 1334. Let c be y\/(-40) + 17 + -15. Let p = -313\/4 - c. Is p less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1009, 2, 3, -1, -4, -94, 0.\nAnswer: -94, -4, -1, 0, 2, 3, 1009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 635 divide 4368369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 - 256. Let h = a + 164. Solve -h*d - d = -9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.769 + 8.35. Let y = b - 1.8. Round y to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**4 - 4*g**3 - 525*g**2 + 1355. Let q(s) = -7*s**4 - 26*s**3 - 3151*s**2 + 8128. Let a(i) = 13*f(i) - 2*q(i). Differentiate a(u) wrt u.\nAnswer: 4*u**3 - 1046*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + 886. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2765963 is divided by 212?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747*v = 478*v + 152 + 2298 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k - 7. Suppose -2*q + 5*q = -12. Let i(s) = -2*s - 4. Let r(g) = q*d(g) + 7*i(g). Let f(u) = -5*u + 2*u + u. Determine r(f(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27*(4\/(-6) + 0). Let y be (-13)\/q + 7\/(-14). Suppose 0 = 3*l - 2*l + 5. Which is the nearest to y? (a) 3 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 40. Suppose -4*t + t + j = 0. Calculate the remainder when 11 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.9 and 0.2074?\nAnswer: -2.05326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 544 + -324. What are the prime factors of m?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 - 1. Suppose 2*p + 0*p = -36. Let k = 17 + p. Give a(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*s = 191*s - 305. Suppose -31254 = s*g - 67*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6 - -1)*(-93564)\/(-483) is divided by 449.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94\/2211 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185072, 370185, 555298, 740411, 925524, 1110637?\nAnswer: 1295750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -20?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49703*a**2 + 4433*a + 5?\nAnswer: 99406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -26834.\nAnswer: 5\/26834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.679 - 0.779. What is the third biggest value in 2\/7, 78, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(9))\/(-6*sqrt(12)) - (1*sqrt(216))\/(sqrt(16)\/sqrt(2)).\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m + 2*x - 83, 0 = -5*m + 5*x + 90. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -920*l**5 - 677460*l**4 - 249370*l**3 + 640985*l**2 + 489570*l + 95680 = 0. Calculate l.\nAnswer: -736, -1\/2, 26\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 97. Let h = 94 + q. Suppose -2*t = -48 - h. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/2184892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -305035 by 2.\nAnswer: -305035\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t - 2. Suppose -3*y + 6*y = 2*r + 19, -3*r + 3 = -y. Let i(w) = -w**3 + 9*w**2 + 18*w - 159. Let g be i(y). Determine q(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 9 = t. Let y be t\/6 + 58\/12. Suppose -3*b - y = -20. 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: b\"What is the mth term of 419, 840, 1261, 1682, 2103, 2524?\n\"Answer: 421*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*c**3 + 4 + 3*c)*(-6 + 0 + 4)*(6*c - 2*c - 2*c) to r*c + g + t*c**3 + v*c**2 + k*c**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a factor of 118121976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22422 or -784768\/35?\nAnswer: -784768\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -7. Let m = u - 14. What is f in 13*f**3 + 14*f**m + 27*f - 45*f**2 - 6*f**3 - 3 = 0?\nAnswer: 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g. Let a(c) = 0*c**3 + 2*c**3 - c**3 + 4*c - 2*c + 3*c**2. Let k be a(-2). Let z(m) = k*m + 3*m - 6*m + 5*m. Give i(z(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = -10. Suppose 0 = 3*d - v + i, 2*v = -0*v - 10. Let l(k) = k**3 + 5*k**2 - 4*k + 6. Is 13 a factor of l(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2423 + -1964. Calculate the greatest common divisor of 51 and v.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(15 + -11) + -4. Which is the second biggest value? (a) x (b) 662 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**2 + 4 - 4)*(-278 - 82 + 253 - 770 - 251) as i + v*l + p*l**2 and give p.\nAnswer: -3384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -12. Suppose a = 2*k - 15 - 13. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*a + 1074, 2 = a + 5. Let o = l + 399. Calculate the highest common factor of 276 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 498831044 to the nearest integer?\nAnswer: 22335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - ((-34)\/(-255) + 73\/15). Factor 0*p + 0 + h*p**2 - 3\/8*p**3.\nAnswer: -3*p**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 28*v**2 + 128*v + 246. What is c(-2)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**5 + 21318*g**4 - 2338128*g**3 - 1185050*g**2 + 1174392*g = 0.\nAnswer: -5437, -1, 0, 1\/2, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*m**2 - 3\/2*m.\nAnswer: -m*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6)*(-14 + (-1977 - 16)). Let l = -669 - a. Let d(g) = g**2 - g + 11. Give d(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -37. Let o(w) = 2*w**2 - 14*w - 9. Let k be o(a). Solve -4*p + 12 = -k*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a*h - a*t - 432*h*t**3 + 52*h*t**2 - 14004*t**3 with respect to h.\nAnswer: 3*a - 432*t**3 + 52*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/40)\/(4\/(-640)). Let l = s + -84. What is the least common multiple of 32 and l?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011 - -11111110010011110100?\nAnswer: 11111110010010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**3\/2 - s**2 - s. Let w(c) = -16*c - 147489 + 147488 + 17*c. Let o(i) = -3*i. Let r be o(-1). Calculate r*u(d) - 6*w(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 18*u**4 + 5727308*u**3 - 1272754*u**2 - 5727308*u + 1272736 = 0.\nAnswer: -318184, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*u + 4, 5*g - g - u = 16. Let l = -35085 - -35095. Solve g*q + 6 = -4*s, 5*q + l = -0*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7115 = 10*s - 14455. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29004613*h**5 + 16601818*h**2.\nAnswer: 1740276780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*-9*(-19)\/(-2394). What is the closest to -11 in -5, -0.02, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1817646\/11 or -165241?\nAnswer: -1817646\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4034, 8069, 12104, 16139, 20174?\nAnswer: 24209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/16 + 13 - 27?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*x - 20 = 0, 3*j - 3 = 2*x + 7. Suppose j = 3*h + h - 8. Let q = 0 - -3. Are h and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4, -p - 6*y = -2*y - 8. Suppose -2*u + 6 = p, 2*u - 29 = 2*q - 3*q. Suppose 2*o - a + 0*a = q, 5*a = -5*o + 95. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*b + 3*m - 29 + 6, -2*b + 76*m + 150*m - 221*m = 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1+-159542\nAnswer: -159541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -9 + 3*v**3 + 27*v - 25*v**3 - 29 - 18*v**2 + 20*v**3. Is q(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 390475b3 + 4?\nAnswer: 390475b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1699 = 84. List the prime factors of w.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -16 (b) 0.1 (c) -2\/15 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 3:12 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r. What is h(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 786 divided by -6996?\nAnswer: -131\/1166","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-8*1)\/((-2)\/(-4)). Let q = w - 23. What is the greatest common factor of q and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278085?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64744294, -129488598, -194232914, -258977248, -323721606, -388465994?\nAnswer: -453210418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j - 4 = 2*g, 0 = 5*j. Let k = 16 - 14.6. Let p = k + -1. Which is the nearest to g? (a) 3 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + q = -3, -5*c - 12 = 3*q - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*y + 14, s + 19 = -5*y + 5. Let d(c) be the third derivative of 1\/24*c**4 + 2*c**2 + 0*c + 0*c**3 + 0. Let w(l) = -2*l. What is y*w(r) - 5*d(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 106*y**2 + 1585*y + 38. Determine v(-18).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1893038 rounded to the nearest one thousand?\nAnswer: -1893000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j. Let l(f) be the first derivative of -3*f**2 + 445. Determine h(l(w)).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/136 - -393\/680. Suppose 5*a = 2 + 8. Suppose a = t + 1. Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9511313, -19022632, -28533951?\nAnswer: -38045270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 210637642 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -542124 - -112?\nAnswer: -542012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989169 is divided by 1548.\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7561?\nAnswer: 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54449*l**5 - 6*l**2 + 312 wrt l.\nAnswer: -3266940*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 684113*k**2 - 684113*k**2 - 1427*k**3.\nAnswer: -1427*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148 - -239. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -137*m**3*p**4 - 19*m**3 - m wrt p.\nAnswer: -548*m**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 0*g**2 + 0*g**4 + 0 + 1\/3*g**3 + 2*g - 1\/15*g**6 + 0*g**5. Find the second derivative of s(p) wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/624 and 181\/244920?\nAnswer: 489840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -u + 167, 3*f = 4*u + 7*f - 648. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111 and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81892.24ml to litres.\nAnswer: 81.89224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 3, -51 in descending order.\nAnswer: 3, -2, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1070964.\nAnswer: -1\/1070964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*h + 30699 + 10713 = 630*h for h.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-2) + 0 + -24611. Let h = c + 44569. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 21*t - 9. Let b be a(4). Let i = 20 + -5. What is the highest common factor of b and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-21 + 4) - (-42 - -41).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -2*m**6 + 6*m**2 + 11. Find the second derivative of b(r) wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27304 divided by -89.\nAnswer: 27304\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 2:35 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p - 5*p + 3*p + (-5 + 2 + 4)*(2 - 2 + p) - 11*p - 9*p + 15*p + 3*p + 2*p - p to v*p + k and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 271350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 3.434514 rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.599 + 29.19884. Let q = -4.4 - z. What is q rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5080470.\nAnswer: 2, 3, 5, 23, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2213 is divided by 95?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35567 and -9020.\nAnswer: -320814340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*d + 18, -5*x - 9 - 1 = -5*d. What is the units digit of 7 + 1 - (-3 + d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2*sqrt(1053) + sqrt(1053))*1*3 + sqrt(91)\/sqrt(252) + sqrt(52)\/(sqrt(32)\/sqrt(8))).\nAnswer: -155*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231\/(-49) + 5 - 96\/(-7) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7805 and 669?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4276962 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfi when three letters picked without replacement from vffjffijfffyjfijfi.\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18239, -18288, -18335, -18380?\n\"Answer: r**2 - 52*r - 18188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224405908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157 - -279. Let i = w - 434.03. Round i to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369 - 608 - 308 - 1479 - 10*t.\nAnswer: -10*t - 2764","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 60?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(720) + 1)*-2.\nAnswer: -72*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 - 18 + 2*b - 19 + 35. Let q(i) = -15*i**2 - 24*i**2 - 17*i**2 + 71*i**2 + 3 - 12*i**2 - 4*i. Calculate 7*m(j) + 4*q(j).\nAnswer: -2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 4 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 31 - 5 = -m - 70, -g = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2013.\nAnswer: -5\/2013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*a + 7*a = 111, -5*r + 3*a - 155 = 0. Let z = r + 57. Let k = -11 + z. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = z + 2*r + r, -z - 4*r + 18 = 0. Let b = z - 190. Let t = b + 2907\/16. Calculate the common denominator of 101\/10 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 84*t + 34. What is x(43)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/12)\/((-6)\/(-90)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29, -7, 4\/3, 4\/9, -0.07, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*g + 60 = -0*v, -v - 15 = 2*g. Suppose -3*k + 84 = -21. Let a = k + v. Solve a = -4*h - 0*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*a + 112*a = -2*x + 11, 0 = 4*a - 5*x - 31 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*(-12)\/(-21)*(0 - 1). Solve c*l - 191 = -199 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 + (-4 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-972)\/(-135)*((2 - 4) + -13). Calculate the common denominator of -19 and (-1066)\/198 + 1 - (-112 - r).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4866 divided by 6.\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 9*o**2 - 25*o - 16. What is the remainder when 35 is divided by d(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/3 + 2527*w\/3 + 5050\/3 = 0. What is w?\nAnswer: -2525, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13012 (base 4) to base 2.\nAnswer: 111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, d: 5, u: 8}. What is prob of sequence ud?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -19\/6*o**6 + 2*o**2 + 0*o**5 + 0*o**3 + 0*o**4 + 20 + 0*o. What is the second derivative of j(l) wrt l?\nAnswer: -380*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygga. What is prob of picking 1 g and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 1:15 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t - 141*t**2 + 141*t**2 + 2 - 34*t**3 + t as i*t**3 + n*t + m + l*t**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 20*s + 12 = 0. Let k be (-4)\/14 - 40\/7. Let b be 106\/22 - k\/33. Sort s, b, 4.\nAnswer: s, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3777736 divided by -202?\nAnswer: 1888868\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 30 = -7*v. Let s(h) be the third derivative of 1\/210*h**7 + 0*h**4 + h**2 + 0 + 0*h**5 - 1\/6*h**3 + 0*h**v + 0*h. Differentiate s(y) wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (80\/(-320) + 377\/(-12))*3462. Round s to the nearest one thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4344 + 8687\/2. Let t = -2\/3 + 7\/6. Let s = -8 - -7. What is the closest to s in 4, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11085*o + 22177*o - 4485*o**2 - 11092*o as p*o**2 + j + q*o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(68)\/(sqrt(4)*5*5).\nAnswer: -3 + sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3169 + 1584 - 493*j + 1585 + (-1 + 1 + 2)*(0*j + 0*j + 4*j).\nAnswer: -485*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2335, -2334, -2333, -2332?\nAnswer: -2331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 554, -3, 1 in increasing order.\nAnswer: -3, 1, 554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 274159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 + -66. Suppose 0 = x - q*x + 210. Let t = 20 - 8. Calculate the least common multiple of t and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 6:12 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6383 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: 70 divided by -14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*z + 2 + 1, 0 = -4*z + 4. Suppose -30*g = -34*g + 8. Suppose 66 = -5*t - f, 2 - 31 = g*t + 3*f. Which is greater: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 7:06 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4989 - 2486. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 6.604?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -1)**2 + (-1 + sqrt(17))**2*1.\nAnswer: -6*sqrt(17) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 334\/393 - 24\/131. Sort 0.2, r, 2, 3 in descending order.\nAnswer: 3, 2, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-9) + (165 - 2). Let c = y - 159. Which is smaller: 34\/9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 859493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is b0944 (base 16) in base 14?\nAnswer: 14b820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04916720871 and -0.248?\nAnswer: 0.19883279129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2)*16)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8365 + -58.0475. Let j = -123 + 183. Let f = q + j. Round f to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 189*i**2 + i + 1. Let w be x(-1). Suppose -w = -5*u - 4*l, -u - u - 5*l + 79 = 0. What are the prime factors of u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 54 = -b. Let p = 66 - b. List the prime factors of p\/3*(3 + 138\/(-4)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-455 - -538) + -19 + 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 580453*a**3 - 5*a**2 + 122143*a + 58.\nAnswer: 3482718*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 18. Let r be i(-11). Suppose b + 3*b = -5*u + 2571, r*b = u + 2601. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -374, -5, -28, -1397, 5.\nAnswer: -1397, -374, -28, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0 + sqrt(17))*-1 + -3 + sqrt(17)*-1 + -3.\nAnswer: -3*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**5\/7 + 1332*m**4\/7 + 122552*m**3\/7 + 2008726*m**2\/7 + 1703217*m + 3412010 = 0?\nAnswer: -1234, -79, -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 158*r - 3327. Let l(f) = 40*f. Determine 4*l(b) - y(b).\nAnswer: 2*b + 3327","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 849533798?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 178010 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*f - 9 = 6, 0 = -2*r + f + 2. Let n(k) = -6 - 3*k**2 - 20*k + 2*k**3 + 54*k - 36*k. Calculate the smallest common multiple of n(r) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/(-2) - (-12)\/(132\/36553)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*151\/(-4681)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10011100101110001101 (base 2) to base 3\nAnswer: 1012121120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*((-10)\/10)\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acac when four letters picked without replacement from cccaccaacccaa?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**5\/20 - a**4\/3 - 5*a**3\/6 - 17*a**2\/2 - 61*a + 2. Let y be p(6). Solve y = 3*w - 5*r, -w - r + 18 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (sqrt(612) - (sqrt(612)*-1 + sqrt(612))))**2.\nAnswer: -24*sqrt(17) + 1226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 232*j**3 + 14981*j**2 + 176798*j + 570288.\nAnswer: (j + 6)*(j + 8)*(j + 109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2580, -5147, -7708, -10263, -12812, -15355, -17892?\nAnswer: -20423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 0.13?\nAnswer: -2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4043355 divided by 3.\nAnswer: 1347785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**3 - 2*b**2 + b + 1. Let f be m(1). Let y(i) = i - 12. What is y(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1294*h**2 - 399*h + 2029. Is 44 a factor of c(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (6 - 41) + 14 - -13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-40)\/528*(2519\/1832)\/((-3)\/4)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -1*sqrt(99)*-6)**2 + sqrt(99).\nAnswer: 3*sqrt(11) + 4851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m + 40909 = 41261 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 96674540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 - -1607783?\nAnswer: 1607815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8961 = 2293*i - 2396*i. Calculate the greatest common divisor of 8787 and i.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*m + 15 = -4*m, -4*m - 10 = 2*t. Suppose t*n - 9 = 6. Solve -5*h - 10 = 5*l, -n*h = 5*l + 4 + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 k when three letters picked without replacement from tkkxk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 933.9307 millennia in decades?\nAnswer: 93393.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2. Let m(b) = -44*b - 28. Let s(i) = -5*i - 3. Let k(y) = 3*m(y) - 28*s(y). Determine k(w(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44937456?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 18197 divided by 18197\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, c: 5, j: 6, z: 1}. What is prob of sequence jscj?\nAnswer: 175\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2 - q**2 + 0*q**2 - 4 - 2*q**3 - 2*q. Suppose 7*h + 26 = 5. List the prime factors of l(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232987912 to the power of 1\/3, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 6*p**2 - 9. Let w be u(-7). Suppose 0 = -4*b + w - 8. Suppose -f + b = 2*r - 5*f, -3*r + 5*f = -12. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Let f(u) be the second derivative of 7*u**3\/6 + u**2\/2 - u - 3. Give -f(p) + 3*n(p).\nAnswer: -10*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 294074767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*b + 20, -4*b = -5*o - 9. Let c(j) = -78*j - 18. Let s(x) = 22*x + 5. Let u(y) = o*c(y) - 18*s(y). Let i(d) = 2*d. Give i(u(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -1666?\nAnswer: -1667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3 - 364*z**2 - 33146*z - 213500 = 0.\nAnswer: -61, -7, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 4*x**2 - 6*x**2)*(-5 + 5 - 1)*(305*x**3 + 389*x**3 - 54*x**3).\nAnswer: 1920*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3339 - 19286?\nAnswer: -22625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4959833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-105)\/(-28) - 9\/12. Let a be (2 - d)*(-2 - -2). Put -2, 5, a in decreasing order.\nAnswer: 5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + 40 - 16) + -42?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45.7 - -47.69. Let r = -0.01 - f. Which is the nearest to r? (a) 5 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1) - 2\/(-2). Suppose -h = d - 3. Sort -3, 3, h in ascending order.\nAnswer: -3, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = g - 29. Let p be (-1)\/2*g*(-20 + 15). Solve -3*m = -0*m + 3*f + p, -f = -m - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8130 - 7941. Calculate the remainder when 619 is divided by r.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h**3 + h**2. What is f(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - y + 39 = y, 2*s + 3*y = 20. Suppose 3*f + 24 = -3*q, -4*f + q - s - 10 = 0. Which is the third smallest value? (a) -4\/3 (b) f (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**9\/20160 + g**6\/720 - g**5\/30 - 4*g**2. Let u(p) be the third derivative of m(p). What is the derivative of u(w) wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14519982 = 2*u, 0 = -12*u + 16*u + 2*p - 29039980. Suppose 0*q - u = -3*q + 4*i, -i + 9680001 = 4*q. Round q to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 + 0.07. Let y = -0.05 - j. What is y rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwgw when four letters picked without replacement from glwlwlllllwllwlww?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 6*u + 6. Let a be t(-6). Find the second derivative of 4*l**3 - a + 18 - 12 + 3*l wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 5 = -5*w + 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3129 and -17046.\nAnswer: 53336934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2982645?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -11.9. Let v(i) = -i + 25. Let q be v(28). Let m = -13 - -8. What is the third smallest value in a, q, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 265 * 2.3.\nAnswer: 609.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k**3 - 14*k**2 - 8*k + 6. Let z(b) = -3*b**3 - 5*b**2 - 3*b + 2. Let g(w) = -3*x(w) + 8*z(w). Let t(j) = j**2 - 1. What is g(s) - 2*t(s)?\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnkozjl. Give prob of picking 1 j and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0*y**5 - 2\/15*y**6 + 0*y**4 + 3*y - 22*y**3 + 0 - 6*y**2. What is the first derivative of w(p) wrt p?\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -14788 >= -14790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44736, 44724, 44712, 44700, 44688, 44676?\n\"Answer: -12*f + 44748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**10*m**(9\/5))**(3\/17) assuming m is positive.\nAnswer: m**(192\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90289.\nAnswer: 90289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**5*g*g**0*((g*g*g**(-6))\/g)\/g**(-2))\/(g**(-2\/11)\/(g*g**(-6))*g**7*(g*g\/(g\/g**3)*g)\/g) assuming g is positive.\nAnswer: g**(-240\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1142393, -1142362, -1142331?\nAnswer: -1142300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2479512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89817953 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -394, -789, -1194, -1615, -2058, -2529, -3034?\n\"Answer: -n**3 + n**2 - 391*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 18?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 + 89 + (17 - 30) + (-6 - -9)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*j + 4, p - 579*j + 9 = -577*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) -2\/15 (c) 0.2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-12)*6*(48\/45 + -1). Are -0.113 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 21*w**2 + 6*w. Let x(v) be the first derivative of -20*v**3\/3 - 5*v**2\/2 - 707. Give -5*p(j) - 6*x(j).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -1\/2*d**3 + d**2 - 1\/6*d**4 - 9 + 1\/20*d**5 + 3*d. Calculate y(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 121*s - 27504. What is r(-237)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h. Let r be f(-4). Let v be 8\/6*((-36)\/(-8) - 3). Solve -3*i - 3*t - v - 7 = 0, -r*i - 16 = 5*t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/415?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 15.1. Put y, -3, 1 in increasing order.\nAnswer: -3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) 0.1712 (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*a, 0 = -5*i + 3*a - 4*a + 1288. Let r = i + -253. Solve 0 = 2*q - 6*q - r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2023230 (base 4) in base 8?\nAnswer: -21354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 187518761?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 take away -6?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -110?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -533035 (base 6) to base 3\nAnswer: -2012120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203558.\nAnswer: 2, 17, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4375.318 years to centuries.\nAnswer: 43.75318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**3 + 2*m**2 - 3*m - 2. Let u(t) = 12*t**2 + 4*t + 1. Let q be u(0). Let p(v) = v**3 + 1. What is q*h(f) + 2*p(f)?\nAnswer: 5*f**3 + 2*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/(2\/(-135)). Calculate the greatest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 13*c - 26. Let x(i) = 2*i + 10. Let z be x(0). Let d be m(z). Let p(u) = d*u - 3 - 10*u**2 + 2 + 22*u**2 - 14*u**2. Determine p(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -915307*l*v**2 - 1153079*v**2 wrt l?\nAnswer: -915307*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Let j(x) be the first derivative of 0*x + 0*x**2 - 1\/3*x**3 - 2. Give g(j(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13659 + 95633\/7. Suppose 12\/7 + 22\/7*u + 0*u**2 - d*u**3 - 2\/7*u**5 - 12\/7*u**4 = 0. Calculate u.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 545*y + 209*y - 493*y.\nAnswer: 261*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1640 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**4)\/v*v**(-2)*(v**(-1)*v*v)\/(v**(-3\/4)*v) assuming v is positive.\nAnswer: v**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**3\/6 + 4*r**2 - 4*r. What is the first derivative of z(k) wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2. Let f(m) = -m - 273. Give o(f(t)).\nAnswer: -3*t**2 - 1638*t - 223587","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + 162*n**2 - 168*n - 308. Calculate t(-82).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 64*q - 11. Let w(s) = 66*s - 15. Give 4*j(g) - 3*w(g).\nAnswer: 58*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 - 4.4. Let i = 8 - 13. Which is the nearest to l? (a) i (b) 0.4 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 480*x\/7 - 28800\/7.\nAnswer: -2*(x - 120)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311142311 (base 5) in base 16?\nAnswer: 4f01e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -133\/10, -0.4, 1, 68\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19876648 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 223.8 - 287. Let d = -59 - t. Let m = -4 + d. Which is bigger: -1.6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 1 - 1 + 2*j**2 + j**2 - 8*j**2 + (-2 + 0 + 0)*(-2*j**2 + j**2 + 8*j**2).\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 2*o - 3. Let h be v(-2). Suppose h*g - 180 = 2*g. Find the common denominator of -2 + (-33)\/g*1 and -67\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 990 = -24*o + 22*o, 2*n = -5*o + 955. List the prime factors of (n*5\/(-4))\/((-5)\/10).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2))**(-10)\/(b*(b\/((b\/(b**(2\/7)\/b))\/b))\/b*b*b)**40 assuming b is positive.\nAnswer: b**(-675\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 41 + 7 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.2 + 1.8. What is the smallest value in u, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 12:06 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5519 - -5610. What is the highest common divisor of z and 2886?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 920 = 32. List the prime factors of j.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**4\/6 + 7*b. Let i(k) = -2*k - 3*k + 0*k + 0*k. Give i(u(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*h - 2, -n = 2*n - h + 19. Let o = -3 - n. Suppose 0 = o*a - 22 - 20. What is the least common multiple of a and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*k*s**2 + 13*k*s - k - 61*s**2 + s wrt k.\nAnswer: 19*s**2 + 13*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.0192582.\nAnswer: 0.0385164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 449 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 3*y + 18. Let j be (-8)\/y + 4\/6. Suppose -2*n - 14 = -2*u, 0 = -4*u + j*n + 3*n + 32. Solve -l = u*l + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 6:40 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 1. Let c = g - 0.6. What is the closest to c in 0.3, 0.2, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -3, -2, -4233, 0.4 in increasing order.\nAnswer: -4233, -3, -2, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/10377 and -23\/819783.\nAnswer: 819783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6576571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 5, s: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 18*m. Let y(f) = 1. Let s = -2 - -3. Let j(x) = -886*x - 890*x + 6 + 2671*x - 893*x. Let u(t) = s*j(t) - 6*y(t). Determine u(a(p)).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -20059417.\nAnswer: -20059420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 5*m - 4*a, -202 = 2*a - 192 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + (4\/2)\/1. Let k be 9\/5 - (-2)\/m. Factor -4\/3 + 4\/3*t + t**k.\nAnswer: (t + 2)*(3*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 16}. Give prob of picking 1 d and 1 j.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -616 - -25640732150.\nAnswer: 25640731534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6*v - 128. Let j = -16 + v. Let c = -6 + j. What is the remainder when 27 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214.33 * -129\nAnswer: 27648.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 5:06 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 287 = -6*w + 331, 5*w + 6*h + 0*h - 44 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51.39 - -53.4.\nAnswer: 2.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/499, 2\/3, -0.2, 0.1?\nAnswer: 4\/499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q**2 - 2*q**2 - q + 15*q**2 + 21*q**2. Let z be o(-2). Suppose -3*i + z = k, 96 = i + 2*i + 3*k. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -10 + -8 + 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 110 = 6*x. What is the remainder when 65 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1908 + 7970. Suppose 5*f + d = 5*x - 2*x, 2*f - 6097 = -3*x. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 104*v + 90*v + 162 + 589 = 0, a + 9 = 5*v - v for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.029 - 0.331. Let k = p - -36.388. Let w = -11 + k. What is w rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7285, 14690, 22095, 29500?\n\"Answer: 7405*c - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 169 + 1468. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1315 and 440243853.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + m + (-2 - 1 + 1)*(3 - 2*m - 3) + (6 - 2 - 3)*(4*m - 6*m + 3*m)*(19 + 66 - 23).\nAnswer: 67*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3451, -3450, -3449, -3448, -3447, -3446?\n\"Answer: q - 3452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**6\/360 - d**5\/30 + d**4\/24 + d**3\/3 + 2*d. Let x(s) be the second derivative of u(s). Determine x(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*56\/(-294)*(-406)\/(-145)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 2:07 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19237421?\nAnswer: 7, 17, 161659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000159352 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2 - 6. Suppose 0*i = r*i. Suppose 2*h - 12 = -i. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 0 + 4)\/1. Let c be s\/(-4) + 14\/4. Let x = 11 - 8. Solve -c = -x*l - 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(2)) + sqrt(4)\/(sqrt(16)\/sqrt(8)))**2 + 1.\nAnswer: -8*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.66164 + 39.662. Let t = f - 11. Round t to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 + 20*j + 8*j + j**2 - 21*j - 2 - 1 in the form o*j**2 + p*j + a + z*j**3 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**17\/(r\/((r*r\/(r*r**(-22\/5))*r)\/r)))\/((r*r**(-10\/13)\/r)\/r**3) assuming r is positive.\nAnswer: r**(1636\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67 + 1?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9191, 76744, 261007, 620336, 1213087, 2097616, 3332279?\n\"Answer: 9726*r**3 - r**2 - 526*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 35*x**3 - 1 + 7*x**3 + 44*x**3.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-6))\/((-43)\/((-860)\/(-2)))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187964 is divided by 31273?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*j**2 + 123*j - 123*j + (-5*j + 0*j + 4*j)*(18 - 18 - 2*j) + (-j - 2*j + 5*j)*(3*j + 4*j - 4*j) in the form v*j**2 + k + u*j and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/324 and -69\/8.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28657158 - 2?\nAnswer: -28657161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 151*l - 105. Let q be v(4). Suppose -7*t + 6*t + 3*y = -q, y = 3. List the prime factors of t.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24113167386256*h**2\/5 - 19642064*h\/5 + 4\/5 = 0. Calculate h.\nAnswer: 1\/2455258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013211 (base 9) in base 4?\nAnswer: -2003323021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3187, -3177, -3167, -3157, -3147, -3137?\nAnswer: -3127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*v - 323*v - 3 = 311*v + 2*n, 2*n + 28 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 74*f**2 + 3*f + 10. Is 20 a factor of b(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000632013 rounded to 6 dps?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2099751207?\nAnswer: 3, 727, 962747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*p + 124*p + 17941 = 62*p for p.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16920 = -95*k + 99*k. Let u = k + 76111\/18. Find the common denominator of u and (-42)\/(-3)*22\/(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, z: 1, u: 2}. Give prob of sequence kz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 1:00 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((30876\/(-248) + 117)\/((-9)\/(-1)))\/((-1)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 + 83. Let d = k + -18. Suppose 0 = 2*t + 3*w + d, 2*t - 3*w - 14 - 4 = 0. Solve 0*z = -t*z - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 17, 9, 12, -2, 164 in increasing order.\nAnswer: -3, -2, 4, 9, 12, 17, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4884 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/7 (c) -2 (d) -21 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c77 (base 16) to base 14.\nAnswer: -123d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m - 96. Let a = 51 - 56. Let j(r) = -5*r - 1. Let t be j(a). Calculate the highest common factor of t and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4009 = 15*d + 3979 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2332\/3 + 784. Suppose -11 + 32 = 3*k. Let y = k - h. What is the closest to y in -4, 1\/7, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8\/x**(-1\/5))\/(x**(1\/4))**(-10\/3) assuming x is positive.\nAnswer: x**(271\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1524645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 8:28 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 208*v**2 + 54*v + 4. Let a(h) = 626*h**2 + 165*h + 11. Let d(c) = -4*a(c) + 11*j(c). What is the second derivative of d(p) wrt p?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4066, -16246, -36562, -65020, -101626, -146386, -199306?\nAnswer: -260392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3941.857 decades?\nAnswer: 39418.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29645, 63, 0 in decreasing order.\nAnswer: 29645, 63, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18779674 divided by -1?\nAnswer: -18779674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 391745 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 6:43 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 2*a - 108. Is (a*(-1)\/(-15))\/(2\/15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-511)\/19272*-44 + (-185)\/(-6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zirb when four letters picked without replacement from wubzizriurru.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 2\/(2\/1). Let d = b + -1. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1896*-122.\nAnswer: 231312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 38488, -5, 1\/6, -0.3, 0.5 in increasing order.\nAnswer: -5, -0.3, 1\/6, 0.4, 0.5, 38488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 14*q**2 + 16*q + 12. Let m(o) = 15*o**2 + 20*o + 10. What is -5*k(g) + 4*m(g)?\nAnswer: -10*g**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5649982 by -2.\nAnswer: 2824991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*r + 13 = 0, 4*r - 1 = -3*i - 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -31. Let a = s - 5. Suppose -5*l = -2*u - 352, 3*l - a*u = l + 124. Calculate the highest common divisor of l and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 723, 704, 683, 660, 635, 608, 579?\n\"Answer: -y**2 - 16*y + 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/169, 2, 0.035, 1\/4?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15931 and 1408959.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from {d: 1, m: 1, v: 1, y: 1, g: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3431192 divided by -5\nAnswer: -3431192\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + -1.9. Suppose 13*s = 12*s - 13*s. Which is the closest to -2\/7? (a) 5\/11 (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311, -315, -323, -335?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 7*o - 119. Give u(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by -91\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51e061 (base 16) to base 10.\nAnswer: -5365857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1032 + -102?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k + 15. Let l(o) = 10*o - 22. Calculate -5*l(x) - 7*p(x).\nAnswer: -x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00749627 rounded to 5 dps?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 224027154245 and 4.\nAnswer: 224027154249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*l**2 + 5 - 8*l + 8*l - 2 in the form k + r*l + g*l**2 and give g.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.891 rounded to 1 decimal place?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + sqrt(117) + (sqrt(117) - (sqrt(117) + sqrt(117) + -1))) + -2)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130828 is divided by 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = -l - 3*a, -4*l + 6*a + 1032 = -532. What is the least common multiple of l and 800?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2303850*j + 6361693 wrt j?\nAnswer: -2303850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, c: 3}. What is prob of picking 1 z and 2 c?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*1*-6)\/(sqrt(132)\/(sqrt(44)\/sqrt(4))))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 15*z - 11. Let p be i(-12). Let t be 0 + 3 - (2 + -3 + 0). Suppose 235 = 4*n + 3*q - p, -t*n = 5*q - 332. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/40040 and 43\/1100.\nAnswer: 200200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/7 - 228*w**3.\nAnswer: 2*w**3*(w - 798)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**2 + 20*x - 20. Let k be p(7). Suppose -1254 = -5*d + 4*j, -k = -2*d + j - 2*j. List the prime factors of d.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*t - 17, 2*c + 0*t - 7 = 3*t. What are the prime factors of 4\/(c\/10) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -24*r - 1. Let y be (72\/16)\/((-2)\/(-8) - 1). What is the remainder when p(y) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1 - 4*g - 1. Let a be (4 + (-4)\/2)*1. Let w(t) = 2*t**2 - 2*t**a - t**2. What is f(w(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - 3*x**2 + x - 1. Give v(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 15*o**2 + 634*o - 34. Determine p(-34).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, -377, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -66 - 77. Let f = -2 - -12. Let q = -3 + f. What is the remainder when t is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.23281 millennia in centuries?\nAnswer: 862.3281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.22, -21, 13, 0 in decreasing order.\nAnswer: 13, 4, 0, -0.22, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132482, 132479, 132476, 132473?\nAnswer: 132470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:48 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 m when four letters picked without replacement from {m: 6, x: 12}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -10345?\nAnswer: 10343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -1. Let w(f) = -8*f - 47. Let j(m) = -m - 22. Let u(n) = -7*j(n) + 3*w(n). Is u(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 16*x**2 - 15*x + 36. Let p be n(-17). What is the first derivative of -16 + 10*a**2 + 64 - a - 7*a**p - a**2 wrt a?\nAnswer: 4*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22232013 (base 4) to base 15.\nAnswer: -d026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - u. Let y(h) = 8*h**3 - 8*h**2 + 13*h - 6. Let d(m) = y(m) + 6*z(m). Is d(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*y = -2*y - 66, 0 = -4*p - y + 275. What is the common denominator of -31 and -2*45\/40*p\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 3*p**2 + p - 1. Let y be u(3). Let q(h) = 3*h**2 - 1 - y*h**2 + 1. Let l(g) be the second derivative of g**4\/2 + 2624*g. Determine l(q(m)).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3431 = 609*u + 6922 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + k**2 + 16. Suppose 4*z = 4*p + 16, -4*z = -5*p - 23 + 3. Let q be w(p). What is the greatest common factor of 72 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 11) in base 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -148\/29 - -415\/87. Let p(c) = c**3 + 5*c**2 + c + 7. Let a be p(-5). Suppose -2 = -2*z + 2*g - 6, -a*z = -4*g + 6. Which is smaller: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10563803 to the power of 1\/2, to the nearest integer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*g = -2*d - 3, 4*d - 397765 + 397763 = -g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 60 = 4*d. Suppose a - 5 = -0*a. Let n(h) = h**2 - 5*h + 3. Let g be n(a). Calculate the highest common divisor of g and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 264 + 3*f - 3*f - 264.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1*-2*47*(-600)\/(-75200)*-74.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 162428511726 and -0.034.\nAnswer: 162428511725.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-5\/3)*i**4)**(-1\/21))**18)**(23\/4) assuming i is positive.\nAnswer: i**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4532 (base 6) to base 5\nAnswer: -13224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9548761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5728 and 0.6.\nAnswer: -3436.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -p - 3 - 2, -3*p - 6 = -2*d. Let t = d - -29. Calculate the remainder when 14 is divided by (-2)\/(-5) + t\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-13)\/(-3) - 3)*9. Solve -3*g = g - m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a = -6. Suppose -i + 2*p - a = 0, 0 = 5*i - 2*p + 2 - 16. Let k(r) = 27 - 27 - i*r**2. Let j(z) = 7*z**2. Determine j(k(l)).\nAnswer: 112*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1067363 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 p, and 2 n when four letters picked without replacement from {l: 1, a: 1, n: 2, t: 1, p: 2, i: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44100)\/(-1029) - 45) + (-251)\/7.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36691, 36695, 36699?\nAnswer: 36703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -356006?\nAnswer: -356006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -309*14335.\nAnswer: -4429515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l**2*l))\/l))\/l*l\/l**11 assuming l is positive.\nAnswer: l**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**4\/4 + 4*t**3\/3 - t**2 - 3*t - 13. Let r = 0 - 3. What is i(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 - -66. Let i = p - -90. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-30) - 8 - 6\/(-9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4\/q)\/(((q*(q*q*q\/(q\/(q\/q**(3\/16)))*q)\/q)\/q)\/q))\/(q**(-6)*(q*q**(-9)\/q)\/q) assuming q is positive.\nAnswer: q**(275\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/2921 and 2\/4347?\nAnswer: 552069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0*d + 20. Suppose 0 = -4*f - 4*f. Solve -37 = -5*v + 4*g - 12, f = -d*g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -2.8 (b) 3 (c) 5 (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**3*v**3 + 192669*i**2*o*v**3 - 265471*i*o*v - 16*i*v**3 + o*v**2 wrt i.\nAnswer: 24*i*v**3 + 385338*o*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmdxx. Give prob of picking 2 d and 2 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 13*c**3 + 6*c**2 + 3*c - 10. Let w(h) = 4*h**3. Let d(r) = 2*b(r) - 6*w(r). Factor d(o).\nAnswer: 2*(o - 1)*(o + 2)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -610*o + 612*o + 6*z + 272, -27 = 4*o + z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8*3\/(-36))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-10))\/((-135)\/(-225))*5\/15.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 4 - -4) + 3. Suppose w = -3*v + 2 - 8. Calculate the least common multiple of 18 and 2720\/153 + v\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 k when four letters picked without replacement from kukuuukukk.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.8 - 3.18. Let c = -445.48 + 445. Let l = b - c. Is -1\/16 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31102313 (base 4) in base 13?\nAnswer: -1ba2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 21518\nAnswer: -1\/21518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25208 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*v + 11 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*q + 32*q + 33*q - 1907 + 24*q - 1824.\nAnswer: -q - 3731","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226c (base 15) to base 13.\nAnswer: 3429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637366055 to the nearest integer?\nAnswer: 25246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -13*t + 18. Let m be d(-8). Let u = 124 - m. Solve -u*o + 4*o - 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 1320.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - f - 3. Let s be v(-2). Let n(x) = -x**3 - 3*x**2 - x - 5. Let o(g) = 2*g**3 + 4*g**2 + g + 6. Calculate s*o(m) + 4*n(m).\nAnswer: 2*m**3 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4, 17, 118, -1, 21, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q = -26*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-250)\/413250 - (-1)\/(-29).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -190645, -385325, -580005, -774685, -969365, -1164045?\n\"Answer: -194680*r + 4035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/1581 and 32\/9639.\nAnswer: 298809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 1\/2*k**4 + 0*k**2 + 0*k - 2 - 7\/3*k**3. What is the third derivative of m(o) wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 3 - 3 + 2 + 2 - 4 + 1 + 5 + (0 - 1 + 0)*(1 + 4 - 4) - 4 + 2 + 1)*(-k**2 + 3*k**2 - 8*k**2) to the form x*k**2 + d*k + j and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(5 + 425\/102*-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -236852\nAnswer: -3\/59213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:45 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**3 - 8*r**2 + 7*r**2 - r - r**3 - 2*r**3 wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -14. Let m = -0.2267 + 0.0267. What is the closest to m in b, 0.2, -9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((22\/34650*-30)\/(-3 - -5))\/((-1)\/(-9))?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u**3 + 1257930366*u**2 - 2515860741*u**2 + 1257930375*u**2.\nAnswer: -22*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732*d + 778*d - 730158 = 0. What are the prime factors of d?\nAnswer: 3, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 11 = 4*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14670556 a multiple of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*l - 7 = 0, 4*i - 15 + 1 = -2*l. Solve -26 = o + 5*k, 2*k = i*o + o - 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 696*h - 709*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*20\/900*-3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*c - 22. Let b = -5 + c. Let j be 646\/8 - b\/(-20). Calculate the highest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 368951 * 9\nAnswer: 3320559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -7*k**6\/30 - 34*k**5\/3 - 881*k**4\/6 - 476*k**3\/3 + 3654*k**2 + k. Factor z(d).\nAnswer: -4*(d + 7)*(d + 17)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -22*l - 2. Let y(s) = 4*s. Determine -2*i(r) - 28*y(r).\nAnswer: -68*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -20582541?\nAnswer: 1\/20582541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(19\/3)*q)\/(q\/q**(-26)) assuming q is positive.\nAnswer: q**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**8\/84 - u**5\/15 + u**2\/2 + 1. Let d(r) be the second derivative of k(r). Find the third derivative of d(a) wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2801?\nAnswer: 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -5*v**4\/12 + 9*v**3 - 1337*v. Let m(w) = w**2. Calculate m(x(t)).\nAnswer: 25*t**4 - 540*t**3 + 2916*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 10*m + 25, 4*m = 2*o + 20 + 10. Which is the nearest to 0? (a) -0.4 (b) o (c) 0.08 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26, -0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1)\/(-14)*4*(-35)\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2519 is divided by 1717.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(139\/(-54) + 15\/6). Let q(u) = 2*u**3 + 56*u**2 + 52*u - 50. Let k be q(r). Which is the closest to 0.1? (a) k (b) -9 (c) -1\/4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 - 110022201201120?\nAnswer: -110022201202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1755, 3463, 5121, 6729, 8287, 9795, 11253?\n\"Answer: -25*j**2 + 1783*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 15085*y**2 - 3589655*y - 222822135.\nAnswer: -5*(y + 127)**2*(y + 2763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -1457\/26. Let k = 5\/39 + q. Which is the closest to -0.4? (a) k (b) -1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204cd (base 15) to base 6\nAnswer: 2105451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -61*a - 4. Suppose 8*j - 4*j - 12 = 0. Suppose -j*d - 4*t + 11 = 5, 4*d + 4*t - 12 = 0. Let l be u(d). Round l to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57\/4*r**2 - 6*r - 21\/4*r**3 - 3 = 0. What is r?\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -4. Let u be 4\/(-10) - (-117)\/(-45). Let x be u*3\/6*p. Solve -x*l - l + 20 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17193, -17194, -17195, -17196, -17197?\n\"Answer: -y - 17192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/50 + 24128\/1600. Suppose -z - 4 = -3*f + 3, -1 = -2*z + f. Let l(h) = h**3 + 5*h**2 - 5*h + 6. Let g be l(-6). Solve g = -z*d - d - y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -23.6. Sort -1, o, 2\/3.\nAnswer: -1, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from okiwz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/3)\/((-6)\/(-171)). Suppose 2 = 2*z + 4*u, -2*z = 3*z - u - r. Let y be (-53)\/(-20) + z\/(-28). Which is bigger: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 135*b + 20 - 128*b - 132*b - 127*b + 681*b - 161*b.\nAnswer: -2*b + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4085.999959236 - 4086. Round a to 6 dps.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (13 + -15 + -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*z**3 + 119*z**3 - 18*z**3)*(z - z - 6*z + (3*z - 5*z + z)*(5 - 2 - 1)) as v*z**3 + f + x*z + t*z**2 + s*z**4 and give s.\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 2. Let n be b(3). Let k = -2 - -4. What is the third derivative of -4*f**n + 112 - 112 - k*f**2 wrt f?\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Let v be (2 - i) + (1 - 3). Find the common denominator of 65\/12 and ((-55)\/(-12))\/1 - v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55254 - 55240. Let h = 1 + -1. Suppose k + h*k = -u + 13, u + 12 = 4*k. Calculate the lowest common multiple of u and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**6\/15 - d**5\/10 - d**4\/6 + d**3\/3 - d. Determine x, given that c(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j + 0*j - 2*j)*(2*j**2 + 2*j - 2*j) + 0*j**3 - j**3 + 3*j**3 + j - 2*j**3 - j)*(-j + j + 2*j).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -1\/104795 (c) -1 (d) -77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 355726 + 1264274. Suppose -c = -36*b + 30*b. What is b rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/87, -1, -0.5, 2\/9.\nAnswer: -4, -1, -0.5, -2\/87, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2040 + -3?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1323)*-2 + ((sqrt(81)\/sqrt(3)*4 - sqrt(27)) + sqrt(27) - sqrt(27)))\/(-4*sqrt(36)\/sqrt(64))*-6 + 2.\nAnswer: -66*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-1 + -2)) + -2. Suppose -10 = -5*o + 10. What is the remainder when o + m - 6 - -45 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001115095 rounded to seven decimal places?\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 9885923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 8*j**2 + 10*j + 3. Calculate the remainder when 20 is divided by z(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*d - 4, 152*d = -9*g + 156*d + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8418 greater than 8411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 17763\nAnswer: 71052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(25\/3)\/o)\/o**10)\/(((o**(9\/5)*o)\/o)\/o**(-5)) assuming o is positive.\nAnswer: o**(-127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5191845 and 33?\nAnswer: 57110295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97.48 + 97.518164. Round f to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(70) - -1*sqrt(70)*1 - (sqrt(70) + 4*(sqrt(70) + -1*sqrt(70)) + sqrt(70))))\/((sqrt(20)\/sqrt(32) - (sqrt(640) + sqrt(40))\/sqrt(4))*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Let t = q + 13. Suppose 4*x - 5*d = 41, -2*d - t + 3 = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9896957203 and -0.5.\nAnswer: -9896957203.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l**3 - 8*l + 14*l - l - 2*l - 3*l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 762*a + 92198. Determine y(-121).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 221*z\/3 - 446\/3.\nAnswer: (z - 2)*(z + 223)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2 - 2*p - 2. Suppose -35*z = -30*z - 20. Let h(j) = 5*j**2 - z*j**2 + 3*j**2. Determine h(n(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/11 + 225\/54 + -1 + -2. Let u(r) be the second derivative of o*r**3 + 14*r**2 + 0 - 18*r. What is the derivative of u(q) wrt q?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33491 - 446*m + 33491)*(-105 - 90 + 153 + m) as h*m + q + t*m**2 and give h.\nAnswer: 18732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 4:15 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(3) + sqrt(14) - sqrt(14))*-3 + sqrt(14))\/(sqrt(567)*-1).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 82 = 3*n - 0*g + 5*g, -26 = n + 716*g - 715*g for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7486194 tonnes?\nAnswer: 748619400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 2248*o + 339426. Determine u(142).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 2*r + 2. Let q be h(-3). Solve 4*z - 1 = -q*y + 4*y, -y + 3*z + 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61.8 + 57. Let w = 9663 - 9659.3. Let v = z + w. Which is the nearest to 1? (a) 2\/17 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 9*v**2 + 6*v - 44. Let g be q(-11). Suppose 10*o - 16*o = -g. Calculate the remainder when o is divided by -1*(-17 - (4 + -7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/180*40\/85. Let a = -0.06 + -0.14. What is the nearest to -4 in a, t, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 10*j**2 - 2*j - 4. Let x be d(-10). Suppose -n = x - 2. Let l be -4 + n - -1 - -4. Is -12 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/21 - 594506*u**2\/21.\nAnswer: 2*u**2*(u - 297253)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 76.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 10. Suppose c = b + 4*b. What are the prime factors of 2 - (2 - 2)*b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -0.2, 2, -3, -0.3.\nAnswer: -3, -0.3, -0.2, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**3 + 5*x**2 - x + 3. Let f be ((-24)\/(-30) + 19\/(-5))*-1. Let l be p(f). Calculate the highest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35, 47, 83, 155, 275, 455?\n\"Answer: 2*n**3 - 2*n + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o**5\/3 - 586*o**4\/3 - 259*o**3 + 1016*o**2\/3 + 340*o\/3 = 0.\nAnswer: -2, -2\/7, 0, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 - 2 = 0. Solve -8*c + 9*c = g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - 5*j + 4*j + 1 + 4 as q + n*j and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -10810*v + 435. Is s(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15)\/(2\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**4 + 12*a**4 - 6*a**4 + 2*a**4 + 2*a - 2*a + (-3 - 1 + 3)*(3*a**4 - 3*a**4 - a**4).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5361, -21433, -48215, -85707, -133909, -192821?\nAnswer: -262443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 25*x - 3749 = 0. Suppose -34 + x = 3*u. Calculate the remainder when u is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 2. Suppose -2*i = 3 - 11. Suppose -3*z + i*r - 20 - 6 = 0, 0 = -5*z - 2*r - 26. Give x(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 a factor of 5089044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -565*w**2 - 175*w**2 + 327*w**2 + 4*w**3 - 289*w**2 in the form x*w + u*w**3 + r*w**2 + y and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 111540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*s + 4*p, 2*s + 8 = -33*p + 37*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoooxx. What is prob of sequence xx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217816 and 4256.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from {q: 1, d: 1, i: 1, b: 2, r: 2, z: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430006437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 7, -0.12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (-261 + 126) - 226?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 3.8. Let u = 0 + -0.3. Let x = p + u. What is the third smallest value in x, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751194 a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-6) - 1082944\/(-96) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14*m**2 + 2*m - 1. Let r = -20 + 21. Give z(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**2 + 6*d**2 - 2*d**2 + 7*d**2 - 20*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0401 * -146\nAnswer: -5.8546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 40dd2 (base 14) to base 8\nAnswer: 461354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/11 or 43757?\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67264 is divided by 1201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {w: 2, a: 3, n: 1, v: 10}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 7:28 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2)**(-41))**(-47) assuming t is positive.\nAnswer: t**3854","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/(r*r*r\/r**15*r)*r))\/r*r**(1\/9))**(1\/48)*(r**0)**46*((r**(-1)\/r)\/r*r)\/r**5 assuming r is positive.\nAnswer: r**(-3131\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 4*f**2 - 5. Let c be b(4). Let g be (-6)\/(-4)*(c + 17). Factor -3*w - 29*w + 42*w**2 + 2 + 6 - g*w**3.\nAnswer: -2*(w - 1)*(3*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 0*b**2 + 1\/3*b**3 - b - 9. Let h(v) = -v**2 + 2. Suppose 51 = -13*o + 12. Give o*h(p) - 5*q(p).\nAnswer: -2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Let q be (16\/84)\/(-4) - (-30)\/(-105). Which is the second smallest value? (a) q (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 478*d**2. Let f(r) = -467 + 215 + 8*r**2 + 252. Determine f(u(s)).\nAnswer: 1827872*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**5\/30 - 10*t**2. Let x(c) = -c. Give d(x(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 102, 116, 130, 144?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5 = -g, -3*g - 2*l - 7 = -0*g. Sort g, -2, -3 in ascending order.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42551901*f - 25973000 wrt f?\nAnswer: 42551901","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1364 + 28 = -58*z for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939389?\nAnswer: 11, 23, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/6 and 125\/1001756?\nAnswer: 3005268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 - (80 - -133) - -201.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1201751*g**4 + 1466844.\nAnswer: -4807004*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1\/3, 11\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/8214 and 97\/10.\nAnswer: 41070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j = -1035558 + 1035758 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 8. Let o be z(-14). Let n = 0 - -4. Calculate the least common multiple of (32\/(-12))\/((-4)\/o) and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -246104 at least -246358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-15) + 19\/3. Let p = m - -2. Let b be 121998 - (-5)\/(20\/p). Round b to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 - 5*q**2 - 5*q - 6. Let l be g(-2). Let t = 0.3 - -0.1. Which is the nearest to 1\/8? (a) l (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2934*p**4 - 43667*p.\nAnswer: 35208*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -385 - -389. Suppose 5*o - 112 = -3*p, 5*o - x*p - 50 - 34 = 0. Calculate the greatest common factor of o and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -157*o**3 + 9*o**2 + 9*o - 9. Let n(a) = -39*a**3 + 2*a**2 + 2*a - 2. Calculate -9*n(l) + 2*r(l).\nAnswer: 37*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most -707752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/25*95 + 58 + 2.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258298969?\nAnswer: 17, 29, 179, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 296.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6711 by -1.\nAnswer: 6711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/63525 and -104\/2822325.\nAnswer: 19756275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 7*h - 27. Find the second derivative of -6*j**4 + 2*j + 24*j**4 - 7*j + h*j**4 wrt j.\nAnswer: 312*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3802830 is divided by 950703?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22273 times 0.04\nAnswer: 890.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65143*n + 32559*n + 3*n**2 + 32584*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -149\nAnswer: 1\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-1\/6)*x\/(x\/(x**(-1)\/x))*x*x**(1\/5) assuming x is positive.\nAnswer: x**(-29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 0.4 (c) 14\/19 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -7. Suppose 17*t - 30 = 12*t. Suppose -t = -d - 4. Sort d, 1, k.\nAnswer: 1, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/13 + -58\/39. Put 2, 3, u in ascending order.\nAnswer: u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwv when three letters picked without replacement from {p: 2, v: 4, c: 2, l: 1, w: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 18*y - 321. Let d be o(24). Solve -d*g = -106*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -15. Let a be -4 - y - (-15 + 0). Suppose a*n = 11*n + 9. Solve -6*q = -3*q - n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 19*o**2 - 4*o + 1. Let a be t(3). Let s = -60 + 100. Suppose 4*r + s = a. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 - (0 + 2) - (3 - -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 - (-1 + 5 + -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -146 + 226. Let t = u - 79. What are the prime factors of (t - -3) + 0 + 105?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -249780, -499647, -749514, -999381?\n\"Answer: -249867*s + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.3 (b) 0.343 (c) 0.36 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110111110000001110 (base 2) in base 11?\nAnswer: 633484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -8570*f**2 - 5*f**4 + 8440*f**2 - 96*f**3 + 6*f + 21*f**3 - 6*f = 0.\nAnswer: -13, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6350*y**3 - 605*y**3 - 418*y**3.\nAnswer: 5327*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3475089 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3*21)\/((-12)\/(-72)). What is the greatest common factor of l and 903?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394, -1249, -2108, -2971, -3838?\nAnswer: -4709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - 56) + (-3 - -9) + 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 11*j + 43. Let p be s(-16). Let c = -130 - p. Suppose 1 = 5*i - 4, -c*r - 5*i + 527 = 0. Does 29 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1923, -1 in ascending order.\nAnswer: -4, -1, 1923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 367.3 - 367. Sort -3, -3\/7, u, 23 in descending order.\nAnswer: 23, u, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 6*q**2 + 2*q. Calculate x(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-5219.149.\nAnswer: -10438.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3608*v**2 - 443781*v + 264. Give d(-123).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -29*((-25)\/5)\/5. Let d = -28 + f. Calculate the highest common divisor of d and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -4174\nAnswer: 3\/2087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 g when two letters picked without replacement from {r: 6, q: 2, g: 3, f: 1, l: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x. Let n(o) = -o - 5. Let j(b) = -b - 1. Let y(p) = 5*j(p) - n(p). Determine u(y(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*a + 23*a - 180. Let r be a\/(4\/(-7 - -3)). Suppose 2*l - 26 = r. What is the remainder when l is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34157\/690 + 1\/345. Find the common denominator of -67\/18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7833.\nAnswer: 3, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 263, -3558, 1 in increasing order.\nAnswer: -3558, -4, 1, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -2. Solve -d - 4*d = p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -34, -7, -2, 3, -5 in increasing order.\nAnswer: -63, -34, -7, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 + 243*o**2 + 2130*o + 227. What is j(-112)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13794568?\nAnswer: 2, 1724321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjjkjjjkjppjk. What is prob of sequence pp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 3*c - 20, 2*c + 12 = 168*x - 173*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 413845 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*2\/(-4)*(-4 + 1). Suppose 0 = t + 3*i + 2, -2*i + 22 = -2*t + 42. Solve -t = 3*c - 2*p, -c = -0*c - l*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 + -1061\/9. Factor -1\/9*b**2 - 25\/9 - c*b.\nAnswer: -(b + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 6*c + 1 - 15*c**3 + 3*c**2 - 1 + 12*c**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 - 51*v**2 + 2*v**3 + 51*v**2 - 1 - 3*v**3 in the form z*v**4 + p*v**3 + f*v**2 + a*v + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4 + 1. Let j be (1 - (-4 - k)) + -3. Calculate the highest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27745200.36 to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 23520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 - 3*r. Let i be k(2). Let j be 4\/i*-4 - -2. Which is the biggest value? (a) j (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0605 - 0.0905. Which is the second biggest value? (a) 1 (b) -3 (c) -5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v + 132 - 355 = 421 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(112))**2*-5 - sqrt(112))*-1 + -4*(sqrt(112) - ((1 + sqrt(112))*-4)**2).\nAnswer: 420*sqrt(7) + 7812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times 3322120.3?\nAnswer: 498318.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(39)\/sqrt(48).\nAnswer: -2 + sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308496?\nAnswer: 2, 3, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 576 - -78?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.15 + -1.15. Let s = -19461.96 - -19462. What is the second biggest value in i, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 4?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 847 - 677*x**2 + 2*x + 12*x**2 - 847 as a*x**2 + w*x + p and give a.\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1016)\/(-20))\/((-1)\/(-19155)). Let k = u - 9183074. Round k to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411331 (base 8) to base 15\nAnswer: -2a3ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392 = 5*g - 5*o - 347, -4*o - 27 = 5*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (sqrt(128))**2 + 0).\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2. Let t(w) = -79*w. What is t(j(p))?\nAnswer: -237*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) -0.069 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + n + 8. Let z be v(0). Let q = 1 - -1. Let u be 242\/5 - q\/5. Calculate the highest common divisor of z and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(6*(-6)\/(-36))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p + 4*p - 4*p + p. Let b(y) = -y. Determine m(b(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 14*i = 392. Let j(f) = 3*f**2 - 2. Calculate the remainder when i is divided by j(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -88, -4, 3, -26, 0 in descending order.\nAnswer: 3, 0, -2, -4, -26, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 87 (c) -232 (d) 0.5 (e) 1\/11 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/2)\/(-3))\/((-23)\/(-368)*-16).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*i + 3*i - 19, 4*i - 23 = -5*y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/7048513?\nAnswer: 4\/7048513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c + 2. Let v(g) = -g - 1. What is -3*v(i) - y(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -415020.0015?\nAnswer: 415033.0015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 6:22 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03957 + 0.96043. Sort 3, h, 383 in increasing order.\nAnswer: h, 3, 383","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/26))**11\/(t**(10\/11)\/t)**(19\/5))**9 assuming t is positive.\nAnswer: t**(9891\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - 2 - 440\/(-4).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(500)) - (sqrt(500) - (sqrt(500) + sqrt(500) + 2 + sqrt(500))*1))**2 + -3 + 3 + 2 + (sqrt(500) + 0)**2.\nAnswer: -160*sqrt(5) + 8506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 778*p**3*z + 2*p**3 + 1523*p**2*z + 27729*p - 2*z - 91 wrt p.\nAnswer: 4668*p*z + 12*p + 3046*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -2402063\nAnswer: 31226819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3538 and 732.\nAnswer: 21228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 3*h**5 - 4 + 6*h**5 - 4*h**5 - 3*h**5 + (6 + 8*h - 6)*(-368*h**3 + 18*h**4 + 368*h**3).\nAnswer: 146*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -594150.41 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Suppose x = -3*v + 4, -7*v + 3*v - 3*x = d. Let l = 7177 - 7157. Solve a = 4*u - v*a - l, 0 = 4*u + 5*a + 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -23 - 9 + 5*f**2 + 700*f - 700*f. Let p(c) = 6*c. Determine p(g(z)).\nAnswer: 60*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-22)*y**(-32) assuming y is positive.\nAnswer: y**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**10\/l))**28*(l*l**14)\/(l*l**(-18)*l*l) assuming l is positive.\nAnswer: l**(-194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r**2 + 100*r - 25. Let u(t) = 4*t - 1. Let f(p) = 4*b(p) - 100*u(p). Let w(y) = 46*y + 2. Calculate w(f(a)).\nAnswer: -920*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5951*n**4 - 136*n**3 - 1145*n**2 - 477*n?\nAnswer: -142824*n - 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -576 + 576.00249. What is f rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -4413061\nAnswer: -1\/4413061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 3, 5 in ascending order.\nAnswer: -3, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 485484\/5 - 97459. Let b = s + 351. Let v = -10125\/2 - -5095. What is the common denominator of v and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470746085 to the power of 1\/2, to the nearest integer?\nAnswer: 21697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1.09 (c) -7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112276*l**4*z - l**4 - 3*l**3*z + 2*l**3 - 60*l**2 - 105475*z wrt l?\nAnswer: 2694624*l*z - 24*l - 18*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.844 - -0.044. Let t = 6.2 + x. Let z = 0.03 - -0.17. Which is the second smallest value? (a) 5 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c - 2*c - 2*c + (7 - 3 - 3)*(3*c - 4*c + 2*c) + 0*c - c + 3*c + 59 - 23 + 2*c - 4*c to w + o*c and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 19*z + 48 = -3*d, -4*z = 3*d + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2 + 6*g + 5. Give h(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93143 is divided by 8427.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 355020451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95 - -1064. Solve 972*u = s*u - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32335348 to the nearest integer?\nAnswer: 5686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 7*o + 9*o = 34, -4*o = 5*m - 28. Solve 4*h - m*h - 2 = 2*p, -2*p - 2 = 3*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/18)\/((-119)\/(-102)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 13294\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millennium in years?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273307, 273308, 273309, 273310, 273311, 273312?\nAnswer: 273313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 179 - 485 = 3*h, -h - 117 = 4*o. Let u = h + 71. Which is greater: -33 or u?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1839996 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22253.\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*(0 + -577 - 5). Let d = v - 295. Suppose 5*k - 2*k = -24. Is d greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7875 (base 9) to base 16.\nAnswer: 16bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11813 - 1800 = 31*u. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3437 and 117349.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17.02 (b) -2\/1165 (c) -3 (d) -4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -58955?\nAnswer: -58952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.9826363 nanograms?\nAnswer: 0.0000009826363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26583172 by -13291586.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1.2 (b) 2\/15 (c) -2\/3 (d) -2 (e) -0.3 (f) 1\/36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d. Let v(x) = -6871*x**2. Give v(l(r)).\nAnswer: -6871*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(700)*2 - sqrt(700))*-1)**2.\nAnswer: 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 948150 and 247751595?\nAnswer: 2477515950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18670914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/12)\/(2\/6) + 96\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1086 - 124*i**2 + 122*i**2 + 2070.\nAnswer: -2*i**2 + 984","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -205*o - 5613. Let d be f(-51). Calculate the greatest common factor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) - (-86)\/18. Suppose -5*q = -10*q - v. Sort -5, q, 6 in decreasing order.\nAnswer: 6, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1207811 and 63569.\nAnswer: 1207811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctcs when four letters picked without replacement from csscttstsssctc?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847*g - 1688*g + 855*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2624921 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m. Suppose m = -v - v. Let u be (6\/4)\/(1\/2). Solve v = -u*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 o, and 1 y when four letters picked without replacement from qqcyyo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*i + 7 = 0, -g + 2*i + 6 = 2. Solve -4*c - 5 = c, -5*h + 23 = g*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11147*x - 66261. Calculate h(-6).\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/2)\/((-30)\/40). Let h be (-15)\/(-20)*(32\/6)\/t. What is the second derivative of -2*o**3 - 155*o**4 + 143*o**4 + h*o**3 + 26*o wrt o?\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -692*t**4\/3 - 5984*t**3\/3 + 284*t**2 + 2*t + 7. Differentiate i(a) with respect to a.\nAnswer: -5536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*x = 448*x - 468261103. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 271*q**2 + 3628*q + 7769. Determine h(-257).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -38*d - 78 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 1, t: 2}. What is prob of sequence ct?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*t = -1, -37 = 5*i + 4*t - t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 7*v**2 - 13*v - 14. Let k be l(-6). Let x be -3*16\/k*-7. Let z(c) = c - 9. Let a be z(x). Solve a*u - 4*u = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**2*s + 45601*m**2 + 2*m*s**3 - s**3 - 326*s**2 - 1601*s wrt m?\nAnswer: 2*m*s + 91202*m + 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z. Let i(a) be the second derivative of a**6\/40 - 11*a**4\/12 + 10*a. Let t(u) be the third derivative of i(u). Give p(t(g)).\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 25 = 5*a - 3*v, 5*a = -3*v + 25. Suppose -3*h + 0*h = -15, 5*f = 3*h - a. Solve 0 = f*t + 2*t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-177)\/4)\/(102\/(-272)).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003599 to four decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.376 - -0.256. Let z = -0.12 - n. Let x be (-656)\/(-120) - (-3)\/15 - 5. Which is the third smallest value? (a) z (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100110011011111000110001110 + 101?\nAnswer: 10100110011011111000110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*a - 800, -4*g = 5*a - 1183 + 108. Let f = g + -162. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 356*i - 5685. What is the remainder when 25882 is divided by w(16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)*2)\/((sqrt(64)*-1)\/sqrt(8) - sqrt(8)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.19? (a) 1\/20 (b) 3 (c) 1 (d) 188.6 (e) -3 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -23250*a**2 + a + 2. Let c = 24 + -26. Let l be y(c). What is l rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*l**3*s**3*x - 75*l**3*s**3 - 103*l**3 - 24*l**2*s - 2*l*s**3*x - 53203*s**2*x wrt l.\nAnswer: -78*s**3*x - 450*s**3 - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 1}. What is prob of sequence yp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 72 = -0*d. Let i(c) = -2*c - 4. What is the lowest common multiple of d and i(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h = -12. Suppose 0 = -w + h - 0. Let a = 0.1028 + -0.0028. Sort w, 2, a, -5.\nAnswer: -5, a, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 18*s**2 - 63*s + 11. Let i be c(21). Suppose 11*v = i + 33. Find a such that 2*a**4 - 5*a**3 + a**3 - 39*a**2 + 37*a**2 + v*a = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*c + 2*y + 38, y + 12 = c. Let t = -4 + c. Find the first derivative of 0*z**2 - 2*z**2 + 1 - t wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-64)\/(-8))\/(-32) - (-1954)\/8. Suppose 6*p + 4*z - d = 3*p, -4*z + 76 = p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**2 - 2*h - 10. Let v be q(-8). Which is bigger: -251 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2 + 8*y - y**3 - 1 - 5 + 3*y**2. Determine i(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 9:41 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/72 and -83\/402464.\nAnswer: 3622176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 25. What is i(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19601 + 19937. What is the remainder when b is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqqi when four letters picked without replacement from {i: 1, q: 4, p: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldl when three letters picked without replacement from {d: 2, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*m + 449 - 113. Let s be 72\/108 + m\/3. Put s, 5, 3, 1 in descending order.\nAnswer: 5, 3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62849.13t in grams?\nAnswer: 62849130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, m: 1, d: 5, v: 1}. What is prob of picking 2 c and 2 d?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 105 + 0 = -16*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/187 and 43\/2533?\nAnswer: 27863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1 (c) 2\/55 (d) 0.8 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 3*v**2 + 4*v + 2. Let a be l(4). Let q(m) = 24*m - 24*m - m**a. Let s(g) = 2*g - 4*g - 4*g. Calculate q(s(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4276 + 8845. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 12. Let q be (-12)\/s - (-94)\/104. What is the smallest value in 4, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(950) - -1*sqrt(38)*6)\/((-1*sqrt(256) - sqrt(16))\/sqrt(8)).\nAnswer: -11*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1894790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + -8 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1830 and 803370.\nAnswer: 803370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 8052396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/(sqrt(64)*6) + 1)**2 - (sqrt(98)\/sqrt(2)*-5 + sqrt(49) - sqrt(49))\/(sqrt(7) - sqrt(1008)*2)) + 4.\nAnswer: -37*sqrt(7)\/276 + 2887\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -972 - -1088. Calculate the remainder when x is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -15. Suppose 0 = -f - f. Which is the nearest to -0.1? (a) f (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15260879 and 11272.\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -295*j + 23032. Give q(68).\nAnswer: 2972","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1723*w**2 + 2445*w**2 + 1712*w**2 + 5347*w**2.\nAnswer: 7781*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533878 is divided by 2161?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5116*v - 8 - 2*v**2 + 4*v**2 - 3*v**2 - 207*v**3 + 5117*v to c*v**3 + n + l*v + r*v**2 and give c.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23\/9 - -29\/9. Solve -a**4 + a**2 + n*a + 0 - 7\/3*a**3 + 5\/3*a**5 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 less than -1985?\nAnswer: -1985.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + 40. Let o(u) = -u**3 - 11*u**2 - 22*u - 5. What is the remainder when c is divided by o(-9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90.9594753 - 90.96. Round y to five decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (658\/42)\/((-1)\/(-24)). Suppose 0 = -8*x - 0*x + h. Calculate the lowest common multiple of x and 8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 15*y**3 + y**2 - y. Let c be i(1). Suppose -62 = 4*a - 82. Calculate the greatest common factor of a and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 - 54. Find the second derivative of -5*z + 40*z**2 - 11*z - k*z - 17*z wrt z.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6688203343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 73*y - 83*y - 7. Which is smaller: 2\/251 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 21. Let k be m\/(-1) - (-19 + 20). Suppose k*p - 153 - 171 = 0. What is the smallest common multiple of p and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 5*d + 5. Let m(s) = s + 1. Let q(r) = j(r) - 5*m(r). Let g(b) be the second derivative of -17*b**3\/6 - 6*b + 1. What is q(g(v))?\nAnswer: 289*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 54a - 2c9?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10213 (base 5) to base 2.\nAnswer: -1010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 198?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 + 162. Is g\/26 - (-2)\/13 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13b (base 15) to base 6\nAnswer: -1145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12131 by 65.\nAnswer: -12131\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6861955 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5*j + 259, -12*m + 13*m = 3*j - 124. Is -129 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 131 = 2*r. What is the derivative of 66*v + r - 72 + 47 - 15*v wrt v?\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7018 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 + 274 = 27*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i + i)*(-2*i**4 + 0*i**3 + 0*i**3) - 2324*i**5 + 9619*i**3 - 9619*i**3.\nAnswer: -2328*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*r - 5373 = -3*r, 3*r - 3 = 0. Is (-2)\/6*(f - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2 + (0 + 1 - 3)*(3 + 4 - 5) + 1 + 3 - 5)*(4*i**2 + 4*i - 6*i**2 + 3*i**2).\nAnswer: -4*i**2 - 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 778 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, l: 5, e: 2}. What is prob of picking 2 l?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 23*i**2 + 1240*i - 30344. Give u(24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*l - 2*l + 265, -3*l + 148 = v. Suppose 2*g + l = 5*t, 4*t - t - 5*g = 42. Suppose t = c - 23. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -388828.\nAnswer: 1166484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**3\/3 + 5*c**2 - 5*c. Let l be y(8). Let j(n) = 2*n + 14. Let t be j(l). Solve t*w + 3 = 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let p(g) = 747*g + 5203. Let m be p(-7). Sort -0.5, -1, m, i in descending order.\nAnswer: i, -0.5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(2*sqrt(99)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 k when three letters picked without replacement from {h: 1, k: 3, w: 1, n: 3, o: 2, c: 5}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, -35, 147?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (6\/4 + (-3)\/(-6)). Let x be 755\/(-15) + (10\/(-6) - s). Let k = x - -56. What is the smallest common multiple of 46 and k?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6065589 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/(-4)*(-32)\/430 and 4\/22*(-210)\/75*5\/(-2).\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-12)*(37 + -3). Suppose -z + 4*z - i = 0. Solve 5*o + 2*p = z, 2*o + 0*o - 2 = -2*p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-35) + (-18433)\/(-10). Let a = r + -1891. Find the common denominator of -57\/4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -23. Let m be 2\/d + 11\/5. Which is the closest to 3\/2? (a) -0.4 (b) m (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (-2*sqrt(1584) + sqrt(1584))*6)**2 + 5 + -4*(3 + 1*sqrt(1584) + sqrt(1584))**2.\nAnswer: -576*sqrt(11) + 52241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2283*0.81.\nAnswer: 1849.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 + (8890\/(-750) - -7) and -4\/115.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 63*p - 146. Let g be x(18). Calculate the highest common factor of 52 and g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.999952 + -16. Round h to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134522 (base 6) to base 13\nAnswer: -5a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -233, -469, -705?\n\"Answer: -236*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-17)\/a)\/(a\/a**(2\/11)))\/((a\/a**(2\/13))\/(a\/a**(-17\/3)*a)) assuming a is positive.\nAnswer: a**(-5147\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*m + 1914 = 0, -u + 451 = -0*u + 6*m. Let f = 3369\/7 - u. Factor -f*x + 0 - 2\/7*x**2.\nAnswer: -2*x*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1204633?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -12*c + 76. Let r(f) = 6*f**2 - 2*f - 40. Let p(n) = -13*n**2 + 3*n + 81. Let b(l) = c*r(l) + 4*p(l). Factor b(o).\nAnswer: 2*(o - 6)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-30)\/(-20)*(-100)\/21 and 12\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - 2. Let g be d\/(-3) - 1\/(-3). Let i = 2 - 2. Solve i*w = -2*w - g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-11\/2)*v\/v**(-2)*v assuming v is positive.\nAnswer: 1\/sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 472947421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/7))**(-1\/39)\/(b**(-2))**(1\/4) assuming b is positive.\nAnswer: b**(85\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c - 24. Let t = 24 + -19. Let r = -13 + t. What is the units digit of b(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2\/(8\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*o**2 + 118*o**2 - 247*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 34 = -v - 0*v, -2*j = 2*v - 12. Let g(x) = 25*x - 31. Let o be g(j). Suppose 0 = -0*t + 3*t - 54. What is the greatest common divisor of t and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 61. Is k\/(-1)*370\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 31\/(-93)*(-1 + -8). Suppose 3*g - 6*g = 4*y - 2177, -r = -g. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4)\/(c**(7\/2)*c))\/(c**(-2\/33)*c**(-2\/15)*c) assuming c is positive.\nAnswer: c**(-3667\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.054 from -0.366466919.\nAnswer: -0.312466919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + p - 2*p + 41, 3*t - 2*p = 39. Solve 0*i - t = 5*i + 4*s, 2*i + 5*s + 1 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 1. Let w(t) = -2*t - 1. Calculate r(s) - w(s).\nAnswer: -s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -711 (base 16) to base 14\nAnswer: -933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 354.726173?\nAnswer: 355.026173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 9) to base 6\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 7. Let b be ((-1)\/(-4))\/(108\/6912). What is the second derivative of -4*c**3 + 7*c + b*c**r + 10*c + 6*c**3 wrt c?\nAnswer: 108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -3\/7, -464, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17403396 and 732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(11) - sqrt(44)) + ((sqrt(11) - ((sqrt(99) - (sqrt(99) + 1)) + sqrt(11))) + sqrt(11))**2 + 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 17*o**3 + 7*o**2 - 13*o - 3. Is 27 a factor of k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 15003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 1\/7*i**4 + 80 - 8\/7*i + 2\/35*i**5 - 2\/7*i**3 - 8\/7*i**2. Suppose r(w) = 0. Calculate w.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87937 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.28 * 1475.\nAnswer: 1888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 67.\nAnswer: -33.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*h - 52. Suppose 4*q = 7 + 9. Let q*b + 2*b**2 + h - 1 - 8*b - 8*b = 0. Calculate b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3919 + 3932. Let m = -109049\/18 + 6056. Calculate the common denominator of f and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -9*y. Suppose -5*b + 27 + 8 = y. Find the second derivative of b*u**2 + 6 - 6 - 4*u wrt u.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172449178523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34902.7 and -0.5.\nAnswer: -17451.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 536 divide 87811272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**(-7)\/p*p*p*p\/p**(-5)*(p**(1\/3))**(14\/5) assuming p is positive.\nAnswer: p**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -336249911 + -1?\nAnswer: -336249912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2114841 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 2, c: 2, b: 3, x: 6}. What is prob of picking 1 x and 1 b?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119\/492 - 1\/123. Which is the third biggest value? (a) -2\/5 (b) 5 (c) 3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/70)\/((-6)\/30)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3168962900?\nAnswer: 2, 5, 31689629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -547224*r**3 - 1643484*r**2 - 10875*r\/2 - 9\/2 = 0.\nAnswer: -3, -1\/604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t - 45. Let s be d(5). Let h(c) = 155*c + 118. What is the tens digit of h(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apaa when four letters picked without replacement from papaapppapp?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13973 (base 12) to base 2\nAnswer: 110101010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 46*j**4\/3 - 19*j**3\/6 + 71*j**2\/2 + 51*j. Is i(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, -1620, -1, 15 in decreasing order.\nAnswer: 15, 11, 3, -1, -1620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.02, 2\/7, -132?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 4:13 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -18. Which is the closest to 0? (a) -0.2 (b) p (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - u + 21, 3*u - 2*u + 23 = 2*y. Suppose -14 = y*a - 3. List the prime factors of (2 - a)\/((-285)\/(-138) - 2).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 653339, 653348, 653357, 653366, 653375?\nAnswer: 653384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*c + 6*c - 21*c + (-6 + 2 + 3)*(-3 - 2*c + 3) + 1 - c + 2 - 2 to the form x*c + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 7*n**2 - 2*n - 21. Let k be l(6). Which is the nearest to -0.1? (a) -1\/7 (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(2*-1) + 3. Suppose 0*v - 16 = -2*v - 4*w, r*v - 5*w + 7 = 0. Is (119\/v)\/(7\/14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - u - 3*u + 2137, 0 = 5*j + 3*u - 10668. Calculate the highest common divisor of 79 and j.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(-2*n + 0 + 0) + 6 + 1 - 8 - 4*n.\nAnswer: -6*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4379\/(-623) - -4) + 0 + 3. Let r = o - 93749\/11214. Calculate the common denominator of (-7)\/6*((-162)\/42 - 2) and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 2)*(-4*j + j + 4*j) - 3*j - j + 2*j)*(-3 + 3 + 2*j**2)*(3 - 6*j - 3).\nAnswer: 36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(((-12)\/10)\/3). Let z = 10 - s. Suppose 3*h + 3 = z, 13 + 0 = 3*b - 4*h. Solve -b*x + 3 = 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -452*w**3 + 712*w**2 - 68*w - 192 = 0?\nAnswer: -48\/113, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n + 2 + 0*n**7 + 3\/5*n**5 + 0*n**3 - 3\/2*n**2 + 1\/28*n**8 + 3\/4*n**4 + 0*n**6. What is the third derivative of g(v) wrt v?\nAnswer: 240*v**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 4321191 - 1030871 = 383335. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*r - 2. Suppose r*j - 2*u - 153 = -u, 15 = 5*u. Calculate the highest common factor of 26 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 52*h - 65. Determine s(3).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 != -0.123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 272*z + 17985. Determine m(141).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let h(p) = -618939*p. Determine h(k(w)).\nAnswer: 1237878*w","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(sqrt(2)*1) + (sqrt(49) + sqrt(1225) + sqrt(49))*-1)\/(-3*sqrt(7)*1 + 1*sqrt(28)\/sqrt(4)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24296 = -33*q + 29*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-98 + 98 + 18*i)*(0 + 1056*i - 12 - 1039*i - 11) as b*i**2 + o + l*i and give b.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1030\/5665*-1*2*1.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 22*i**2 - 24. What is r(22)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**30*z*z*z)\/z*z)\/(z\/(z*z\/z**29))*(z\/(z*z**(-23)*z)*z)**(-12))**(29\/3) assuming z is positive.\nAnswer: z**(-2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -5*y**3\/4 + 53*y**2\/8 - 19*y\/2 + 4507. Factor l(b).\nAnswer: -(b - 1)*(15*b - 38)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**4\/6 - g**3\/3 + 3*g**2. Let y(i) = i**2 - 5*i - 2. Calculate the smallest common multiple of k(5) and y(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145664865 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40129036 to the power of 1\/2, to the nearest integer?\nAnswer: 6335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t + 23. Let i be x(4). Suppose -c = -5*j - 19, 6*j - 5*j + i = 0. Solve -c*l = -0*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 39\/15)*8\/8. What is the closest to t in -0.1, -2, 0.07, -0.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l - 4. Let f(r) = -37*r. Give z(f(y)).\nAnswer: 148*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (0 - 12\/(-15)). Let y = -3 + 6. What is the nearest to 2\/7 in y, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + 4*q**3 - 5 + 7*q + 3 as w*q + l + o*q**2 + a*q**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-42)\/90)\/7.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -533*f - 88. Is b(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 2:53 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/142 - -251\/1562. Let j(d) = -3*d**3 - 10*d**2 + 114*d + 13. Let m be j(-8). Let w be ((-1)\/3)\/((-3)\/9). Sort k, w, m in increasing order.\nAnswer: m, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*h + 16, 0 = 2*h - 0*h + 8. Suppose -2*y + 5*y - 9 = c. Solve 0 = -5*n + 3*n - 8, 2*z - y*n = 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3550a (base 12) to base 7\nAnswer: -415453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and 345158 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 16*t**2 - 16*t - 15. Let x be p(-15). Suppose 4*a = -x*a + j + 6, 4*a - 12 = 4*j. What are the prime factors of ((-3)\/((-15)\/10))\/(a\/13)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*n**5 + n**2 + n**2 - 8*n - 7*n**5 - 16*n wrt n.\nAnswer: -780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -r - 17, 18 = o + 5*r - 9. Let b = 17 + o. Find the third derivative of 19*w**2 + b*w**4 - 42*w**4 + 10*w**2 wrt w.\nAnswer: -432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**6))\/(z*z**(-2\/13)) assuming z is positive.\nAnswer: z**(-76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 122 - (-2)\/((-1044)\/65163)\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:58 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -17, -1\/17, -149, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*i - i + 12, 4 = 5*i + z. Suppose 0 = -5*g - 4*b + 18, 0 = -0*g + 2*g + 5*b - 14. Suppose 0 = -g*d + 5*d - 6. Put 3, d, i in ascending order.\nAnswer: i, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 1:02 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.88 - -28. Round x to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 12712752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312682.\nAnswer: 2, 79, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m + 4*m)*((-18*m - 84 + 84)*(0 + 1 - 2) - 6*m + m + 3*m).\nAnswer: 80*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 796\/16 - 2\/(-8). Suppose o = 4*g + 18. Let j = g + 1. Solve 4*x - j = 11 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 27*i**3 - 11790*i**2 + 7851*i - 1308 = 0.\nAnswer: 1\/3, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.182 + 0.18. Let k = z - -2.902. Let x = -1.9 + k. What is the third biggest value in 2\/17, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.04.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20083894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, -181, -375, -569, -763?\n\"Answer: -194*i + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*r**6 - 337*r**3 + 148*r**2 + 23*r?\nAnswer: 2520*r**3 - 2022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 9:43 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**4\/12 - 2*o**3 + 23*o**2\/2 + 32*o. Let y be r(10). Let w be 1\/4 - 2\/8. What is the nearest to 0.3 in y, -1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-2)*5\/4. Let r be (n\/(-3))\/(3\/(-9)). Solve i + i + r = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 3*w**2.\nAnswer: w**2*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**3 + 201039*k**2 - 1206153*k + 1809189 = 0. Calculate k.\nAnswer: 3, 67007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405 + 37\/5*a**4 + 729*a + 1\/5*a**5 + 2034\/5*a**2 + 90*a**3 = 0 for a.\nAnswer: -15, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 7 (b) -0.9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/15)\/((-1)\/3). Suppose -9 - z = -2*c. Calculate the remainder when 22 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105992 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 + y**2 + 2*y + 1. Let h be m(-1). Suppose -2*l = -h*l + 11. Let r = l - 9. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 352256000 to the nearest one million.\nAnswer: 352000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -11\/3 (b) 0.2 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*p**2*q**3 + 8724*p**2*q + 25*p - q**3 - 10*q**2 + 427*q - 4026 with respect to p.\nAnswer: 78*p*q**3 + 17448*p*q + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1255.988 - 1272. Let n = -308 - -292. Let i = n - s. Round i to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -38\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 1. Suppose 2*b = -n - 11 - 1, 5*b + 17 = 4*n. Let g be j(b). Find the second derivative of s**4 + s + 4*s**g - 4*s**4 wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11709 - 12079 = -74*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/3 - 11*d**3\/6 + 13*d**2\/2 - 2*d + 20. Let a(c) = -2*c**2 - 7 - 6*c + 6 + 8. Give 11*a(o) - 6*t(o).\nAnswer: 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 190 = 5*r, -4*r = -d + 32 - 205. Is (-4 - -7) + r + -2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 + 176. Suppose -2*g + 12 = -h. Solve 5 = 4*o + g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) -5 (c) 2 (d) 5 (e) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8022.760045 + 8396.7598. Let g = 374 - o. What is g rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + r + 1. Let y(l) = l - 2. Let b be y(3). Let c(h) = -6*h**2 - 3*h - 4. Let f = 113 - 86. Suppose -10*x - 68 = -f*x. Give b*c(v) + x*t(v).\nAnswer: -2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/209 - (-2 - 320622\/152). Let y = i - 2100. Calculate the common denominator of 0 + 1*30\/16 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 3:07 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/19)\/g*g*g)\/g**(-11) assuming g is positive.\nAnswer: g**(226\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55210 or 55204?\nAnswer: 55204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54*x**4 - 8*x**4 + 2*x**4 + (-x - x + 4*x)*(0*x**3 + 2*x**3 - 4*x**3).\nAnswer: 44*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -304, -3\/5, -211.\nAnswer: -304, -211, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 28 = 3*w, 253*j - 250*j + 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -24002434 (base 5) to base 10\nAnswer: -219119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5 - l + 2 + 2. Let y be b(5). Let u(q) = q**2 + 6*q + 6. Let k be u(y). Solve 2*g - k*g = 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114399\/10 - 11429. What is the common denominator of i and (-10)\/8*(-11)\/3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 4*n)*(29 + 19 + 33)*(-9 + 14 + 11)*(4 - 4 + n) + (3 + 2 - 4)*(0*n**2 + 3*n**2 - n**2).\nAnswer: -5182*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 2*j - 66. Put j, -5, 0 in ascending order.\nAnswer: -5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 - (-3)\/(6\/(-2)). Let b be 43\/o - (-8)\/36. Solve -3*z - 2*z = -b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5331278 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2944*h**3*s**2 + 14702*h**3*s - h**3 - 6523739*h**2 - 2*h*s**2 wrt h.\nAnswer: -17664*s**2 + 88212*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1310, -1312, -1314?\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 0 + 90 = 0. Let z = -1.46 + 0.96. Which is the second biggest value? (a) z (b) y (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95572.07 micrometers to millimeters.\nAnswer: 95.57207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 5900\/33 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 0.0312 (c) -3\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 4627 = -13*g - 4579. Calculate the least common multiple of g and 1 + -4*(-3)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c**3*q**2 + 3*c**3*q - 189*c**2*q - 24*c**2 + 3961*c*q**4 wrt q?\nAnswer: 10*c**3 + 47532*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 - 70. Let l be 10\/g + (-81)\/5. Let m = l - -18. Which is the closest to -1? (a) m (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.3. Let t be 7\/6 - (-5)\/(-10). Let o be 2\/(-3)*(-5)\/(-15). Which is the closest to k? (a) t (b) 5\/6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1174, 4376, 9686, 17080, 26534?\nAnswer: 38024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 13*v**4\/24 + 7*v**3\/6 - 20*v**2. Let u be z(4). Round u to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 9*x**4\/4 + 2*x**3 + 7*x**2\/2 + 184. Let n(s) = -13*s**3 - 9*s**2 - 10*s. Calculate -7*j(f) - 5*n(f).\nAnswer: 2*f**3 + 3*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*w + 0)*(14 + 8 - 23)*(6 - 3 - 1) to the form h + r*w and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -277 - -490. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2)*16\/(-8))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/44 + 13\/(-4). Let a be (-2)\/b*6 - 2. Solve a*z + z - 32 = 5*p, 4*p = -16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/205 + 86\/205. What is the closest to -3 in 0.5, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 - -80. Let m(y) = -11*y - 4. Let j(l) = 5*l + 2. Calculate w*m(d) + 13*j(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 32038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 98*p**2 - 7*p - 9. Let r be f(-1). What is the common denominator of 24 + -25 - (-290)\/r and -47\/8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -2361252?\nAnswer: -2361242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -4. Suppose 4*q - l*q = -80. What is the second derivative of z + 9*z**2 + 4*z - 2*z**2 - q*z**2 wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 221561.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.01416 kilometers to centimeters.\nAnswer: 9401416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2536.0909 days to weeks.\nAnswer: 362.2987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 595 - 35 = 0. Let a = s + -101. Factor -1\/3*n**5 - n**3 + 0*n + 4\/3*n**a + 0 + 0*n**2.\nAnswer: -n**3*(n - 3)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 712 - 672. Let x be 2\/(-3) - 1110\/(-18). Let r = x + -41. What is the highest common divisor of r and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -5696742\/11, 0?\nAnswer: -5696742\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3) + 29\/30. Suppose -s - 2*s + 3 = 0. Is l <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 99 - 452 = 3*y, -517 = -3*b + 2*y. Calculate the remainder when b is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, w: 2, r: 3, m: 1, g: 1, q: 2}. Give prob of sequence gwrm.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - -3) + (-93 + 71 - -21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3700399g in milligrams?\nAnswer: 370.0399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8038, 16072, 24108, 32146, 40186, 48228?\nAnswer: 56272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*k*q*z**2 + 32*k*z**2 + q**2*z**2 + 172*q**2 + 7*z**2 + 26*z wrt q?\nAnswer: 11*k*z**2 + 2*q*z**2 + 344*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/580)\/((-71)\/710).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t - 10. Let m = -72 - -80. Let j be (7 - 1) + (-24)\/m. Put j, 1, t, 4 in increasing order.\nAnswer: t, 1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 10 = -k, 1989*h = 1987*h - 4*k + 44 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (-31852)\/(-12))\/(268\/(-1206)) a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -167 - -4.2456432998.\nAnswer: -162.7543567002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjdjjddjjdjdddddjdd. What is prob of picking 3 j?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 601 + -1201\/2. What is the closest to o in -5, 0, -0.4, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/2088 in 1, -2, 3, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 199 + 0 + 8344 + -8474\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223 - -1.025512.\nAnswer: 224.025512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463*o - 1736 + 11816 = -343*o for o.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -158*z**3 - 142*z**2 + 136*z + 7. Determine y(1).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36700?\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 3. Give n(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 185967*l - 371987. Give z(2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j - 19*j + 6*j**2 + j.\nAnswer: 6*j**2 - 34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1289944 and 4.\nAnswer: -5159776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -252*c. Let h(k) = -2*k**2 + 3*k - 3. Let y(v) = -v**2 + 2*v - 2. Let n(a) = -2*h(a) + 3*y(a). What is n(f(t))?\nAnswer: 63504*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -102093, -102337, -102581, -102825?\n\"Answer: -244*t - 101849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3757250838 + -3757250930.00000164. Let f = 92 + d. Round f to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) - sqrt(33)\/(-1*sqrt(11))))*5.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -54. Is d at least as big as -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 0)\/(4\/2). Which is smaller: -30\/19 or p?\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -4. Let a = m + -4. Let i = 97439 - 97438. Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/5)\/((-2)\/10). Let f = -1 + g. Suppose -j = 4*u + 1, 3*j - 2*u - 2 = 9. Is j greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3984\/4980)\/((2\/(-50))\/(4\/8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 36.\nAnswer: -13\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4500316947 to the power of 1\/2, to the nearest integer?\nAnswer: 67084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1728 + -735b?\nAnswer: -8a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-h + 0*h + 2*h) + (0*h - 14*h + 0*h)*(-5 + 5 + 1)*(-10 + 1 - 6).\nAnswer: 208*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i + 46*i - 40 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17881, 20911, 25961, 33031, 42121?\nAnswer: 53231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 10:17 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 106974\nAnswer: 21394.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 100, 228, 356, 484, 612?\n\"Answer: 128*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*n + 2*n**3 - 5*n**3 - 35*n - 37*n.\nAnswer: -3*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x - 4*z - 62303, -12453 = -x - 3*z. Let j = x + -336355\/27. Calculate the common denominator of j and (-14)\/6*17\/(-8).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 19149*j**2. Let a(d) = -15*d. What is a(x(u))?\nAnswer: -287235*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*d**5 - 585*d**4 - 1115*d**3 + 5085*d**2 + 7200*d + 1620 = 0. What is d?\nAnswer: -3, -1, -2\/7, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 8*t + 1. Determine h(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g*g**(2\/7)*g)**(-7)\/(((g\/g**3)\/(g*g**(2\/19)))\/((g**(-2\/3)\/g*g)\/g**5)) assuming g is positive.\nAnswer: g**(937\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 0 + 0 - 4 + 1 + b**2. Let p be f(0). What is the tens digit of (3 + p)\/(-1) - -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(16\/5)\/(h*h*h**14*h))**43 assuming h is positive.\nAnswer: h**(-2967\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 581, 947, 1313?\nAnswer: 1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*t = -334602 - 89041, -1270993 = 3*c + t. Let n = c - -92663. What is n rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 4:40 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:33 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + sqrt(425))*-4 - (sqrt(425) - (-4 + 1*sqrt(425) + sqrt(425)))).\nAnswer: 12 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/((-23)\/(-5) - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -684 + -1172. Let f = 5019 + m. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12210 + -14?\nAnswer: -12224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2\/13, 2.\nAnswer: -5, -4, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7 - 3*d**2 - 20 + 5 + 7 + 21*d. Let q(b) = 4*b - 10. Let j be q(4). What is the tens digit of p(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q**3 + 4*q**2 + 6. Let w(l) = 10*l**3 - 3*l**2 - 5. Let g be (6\/(-10))\/(116\/40 + -3). Give g*w(f) + 5*d(f).\nAnswer: 5*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2. Let p(h) = -3 - 4*h**2 + 3*h + 0*h**2 - 4. Let z(k) = -5*c(k) + p(k). Let n(r) = 4*r**3 - 1. Let m be n(-1). Calculate z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.8.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = -2*m. Let y(s) = 4*s + 2. Let z be y(-5). Calculate the smallest common multiple of m and (z\/15)\/(6\/(-20)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2753818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 21877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165 + 165.8. Let n = 61 + -61.2. Which is the closest to 0? (a) s (b) n (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + c**2 + c**2)*(12*c + 3 - 11*c - 12 - 6*c**2).\nAnswer: -12*c**4 + 2*c**3 - 18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**2 - 868*g + 61303. Determine p(52).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/223 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6980.648 less than -0.3?\nAnswer: -6980.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*y = -20, -3*y + 4*y - 12 = 3*o. Let j be 2 + o - -3 - -1. Suppose 0 = h - 4 + j. Solve -h*n = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -330\/19 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-10477503.\nAnswer: 4191001.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/((-510)\/136)*(-639)\/36?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.2 + -8.1. Which is the nearest to -1? (a) 0.3 (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 494ba - 1262?\nAnswer: 48258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -433.00139 - -433. Round x to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 23 - 15 = -2*p, 4*p - 55 = 18*k + 75 + 16 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*t - 188*t + 4*m = -32, 2*t - 16 = -3*m. Solve -t*z + 16 = -3*f - 3*z, 3*f - 2 = -4*z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*a + 331 = 898. What is the least common multiple of 447 and a?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -28 (b) -1\/2 (c) 1572\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**23))\/u**(-1\/4))\/(u**(-3))**(-2\/11) assuming u is positive.\nAnswer: u**(-1025\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c**2 - 11*c + 7. Let l(y) = 7*y**2 - 10*y + 6. Let w(p) = -6*b(p) + 7*l(p). Let s = -2362 + 2358. Let t be w(s). Which is greater: t or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 144.5 (b) -0.106 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eennnnenen. What is prob of picking 3 n and 1 e?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40536 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1487.6 - -1487. Put f, -1\/2, 7, 0 in increasing order.\nAnswer: f, -1\/2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 161 = -776. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613976?\nAnswer: 2, 11, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1392.86 - -1392.8. Which is the closest to -1\/3? (a) 0 (b) 1\/2 (c) -8 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**3 + 4*i. Let a = -37 + 42. Let x = a + -2. List the prime factors of d(x).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + -71. Suppose 0*w - 5*b - 109 = -w, 0 = -q*b - 25. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/153 - 346\/(-144) and -41\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m + 167384 = 26*m - 113104. Is 93 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 4:15 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7259 is divided by 192.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61657 or 61656?\nAnswer: 61656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 8 = 0, -16 + 41 = 5*b + 5*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 + n**3 - 2*n**2 + n**3 + 2*n**3 - n**3 + (n - n + 2*n**2)*(-2*n - 2 + 2) - 5*n**3 + n + 10*n**3 - 15*n**3.\nAnswer: -11*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-10)*35\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Suppose -218 = 3*t - 50. Let w be 2\/(3 - t\/(-20)). What is the remainder when o(w) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyryyyyryyyyry. Give prob of sequence yyr.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 13 + 2 = 2*f, 5*f + 32 = 4*d. Suppose -5*m + 6 = -d*m. Let p = -3.4 - -3.3. Which is the second smallest value? (a) m (b) p (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33295 + -1?\nAnswer: 33294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 + 38 = 0. Let g be 0\/3 + k + -2. Let m = 18 - g. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*d + 18, -3*m = d + m + 18. Solve -5*h + 4*y = -11, -5*h + 3 = -0*h - d*y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000168175 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-11)\/44)\/(((-1)\/(-44))\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 27.0063. Round w to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10212 and 137862.\nAnswer: 275724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*p*x**3 + 405794*p*x**2 + 1647538*x**3 + 2*x + 1 wrt p.\nAnswer: 15*x**3 + 405794*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294 + 270 = 4*r, -y - 46*r - 273 = -5*r - 30 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ciaa when four letters picked without replacement from iaciaaiii?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118 + 120. Find the second derivative of -3 + 2*j**3 - 4*j**4 - 2*j**c + 2*j**2 + 2*j wrt j.\nAnswer: -48*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -589, 1, -43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3514, -7046, -10598, -14176, -17786, -21434?\nAnswer: -25126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 787\/28 or -212\/3?\nAnswer: 787\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*j**4*z - 4*j**3 + 4*j**2*z - 633*z - 2 with respect to j.\nAnswer: -60*j**3*z - 12*j**2 + 8*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o - 24*o + 105 = 0. Which is bigger: o or -61\/3?\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135 - 136. Let k(o) = 98*o**2 - 4*o - 3. What is the remainder when k(x) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + d + 2*d + 4*d - 3*d + 5*d + (-2*d - d + d)*(3 - 2 + 1) + (-4*d + 2*d + 4*d)*(1 - 1 + 1) + 2*d - 3*d + 3*d + 3*d - 4*d + 3*d + 6*d - 2*d - 3*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7056 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 220*n - 547*n + 330*n. Let s(c) = -9*c + 13. Determine s(k(j)).\nAnswer: -27*j + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15227 (base 13) in base 14?\nAnswer: 10793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 2. Let l be s(2). Suppose 5*b - 180 = f, l*f - f = -2*b + 75. What is the common denominator of 19\/b + (-4)\/10 and 95\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 9*d + 5. Let k(t) = -2*t**2 + 10*t - 5. Let h(p) = 2*k(p) + 3*m(p). Let v be 1\/(0 + 2\/(-14)). Let c be h(v). Solve c = -5*r - 0*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 5*g**2 - 3*g - 3. Let i be v(4). Suppose 3*c = i - 4. Let b = c + 7. What is the remainder when 22 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 4*i - i + 2*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i - 2. Let v = 7983 + -8003. Is 14 a factor of (0 - 6\/i) + v + 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 53468*r. Let x(c) = 15*c. What is x(g(m))?\nAnswer: 802020*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100 + 121?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 95, 143, 193, 245?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 10*s**2 - 9*s - 10. What is y(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6208*k**2 - 10544?\nAnswer: 12416*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*i + m + 4*m, 0 = i - m + 1. Calculate the smallest common multiple of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 579*j - 810*j + 14611 - 1906 for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(4)\/sqrt(2)) - (sqrt(252) - (sqrt(252) + -1))) + sqrt(63)\/(sqrt(1296) + 1*sqrt(1296) - sqrt(1296)) + 3.\nAnswer: 2 + 13*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 252431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -324, 10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-11)\/(p\/(p*p*p**(-1\/2)))**(-21) assuming p is positive.\nAnswer: p**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/25830 and 94\/173943.\nAnswer: 71316630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 times 2?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -204 at least as big as -237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 4)*(2*z - 4*z - 2*z)*(-3*z**3 + 2*z**3 + 0*z**3)*(-84 + 32*z + 84).\nAnswer: 640*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(5 + -1 + 1 + sqrt(1584) - (sqrt(1584)*2 + 3 + sqrt(1584) + 2)))**2.\nAnswer: 8211456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6 = 3. Let p be ((-2)\/4)\/(2\/(-4)). Is p\/r - (-3 + -8) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-165*j + 127*j + 80*j)*(0*j + 2*j - j) + (2 - 2*j - 2)*(3*j + 13 - 13) in the form c*j + w*j**2 + v and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 74*f**3 - 5*f**2 - 96. Let i be m(24). What is i rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 + 0.4. Let y = 0.1 - 0.2. Let x = y - -1.1. What is the nearest to k in 0.2, x, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*m - 18*m + 168 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6971820 is divided by 4333.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-1*(-1)\/(-7)). Suppose 5*n = -2*w + 17, -4*w - n = 4*n - 19. Calculate the greatest common factor of w and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171048.727 - 0.4941.\nAnswer: 171048.2329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffkkkkkkkkk. What is prob of picking 2 f?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 6. What is j(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h - 20 = 37 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 518680 to the nearest ten thousand.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 25750*f - 6 + 11.\nAnswer: 25750*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892115481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 4*b + 4. Let t(g) = 2*g**2 - 9*g + 9. Suppose 0 = 6*w - 16 - 38. What is w*x(h) - 4*t(h)?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3169, -6304, -9469, -12664, -15889, -19144?\n\"Answer: -15*p**2 - 3090*p - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9e9d (base 16) in base 5?\nAnswer: -2244410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 + 47*s - 286\/3.\nAnswer: (s - 2)*(s + 143)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ac2d (base 16) in base 7?\nAnswer: -1326432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9)\/(o**(-2\/11)\/o)*(o\/((o**(-1\/14)\/o)\/o))\/o*o**(2\/5))**(-43) assuming o is positive.\nAnswer: o**(177031\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2 + (-3 - -3)). Suppose n*d - 12 = -2*d. Suppose 3*t + 2*o - 85 = 0, -t + 14 = -d*o - 7. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3193\/44 - -291\/4. Let x be 7 - 2\/(-3)*-3. Sort -1, x, -1\/8, n in descending order.\nAnswer: x, n, -1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/1)\/(-7 + 6). What is the highest common divisor of 5 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -1)\/(5\/5). Suppose -3 = -k - r*k. Solve -8 = y - k*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -0.09, -2, -2\/7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 - 4*g**2 - 2*g. Let c(x) = -5*x**3 - 11*x**2 - 5*x. What is 4*c(k) - 11*n(k)?\nAnswer: 2*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1300)*3)**2 - -6*(1 + sqrt(13) + 0 - sqrt(13))**2.\nAnswer: -300*sqrt(13) + 11731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 26*l**2 - 23*l + 108. Let w be q(-27). Suppose -4*k = d - 98, k + 4*d - 32 = -w*d. Calculate the greatest common factor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -9) + -13 - 32 - 29?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6177 - 3921. What is the greatest common divisor of q and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*g - 85*g + 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 6*l**2 - 35*l + 62. Let t be y(2). Solve -t*x = -20 - 28 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q*q*q**(3\/26)*q*q))*(q*q\/(q\/(q**(5\/7)*q))*q)\/q)\/(q**13*q**8) assuming q is positive.\nAnswer: q**(-2397\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36 + (0 - 0)\/(-3). Let k = 0 + -34. Let o = k + l. Solve 0*s + o*s = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488 = 6*y - 340. Let n = -101 + y. Suppose -6*h - n + 787 = 0. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.5 (c) -1\/8 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**12)\/w)\/w*w\/((w\/(w*w**(-2\/35)*w))\/w)*w*(w*w**(-20))\/w**39 assuming w is positive.\nAnswer: w**(-2312\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*g + 9124, -k + 618 + 1664 = -g. Suppose -l + 5*l + k = 0. What is l rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 213 and 12?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**3 + 516*k**2 + 16112*k = 0. What is k?\nAnswer: -76, -53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*-1*4)\/(-1). Let q = 8 - 3. Suppose -j = 4 - q. Which is the biggest value? (a) j (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.221145 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -2 + 1 - (70 - (-69 - -129))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/((-2*sqrt(96))\/sqrt(12)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1.96. Let d = -0.5764 - 0.7236. Which is the smallest value? (a) d (b) n (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5)*(l**(-6\/7)\/l)\/l*(l*l*l**(-1))**(-7))\/((l**(-3\/2)*l)\/l**(2\/25)*(l**(2\/5))**(-1\/15)) assuming l is positive.\nAnswer: l**(-10343\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.260909l?\nAnswer: 2260.909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/160 and ((-460)\/(-70))\/23 + ((-859)\/1120 - 0)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w - 6 = 0, -4*t - 5*w = -23. Suppose 2*i - 8 = -2*v, 1 + 7 = -t*v + 2*i. Let y = -1.1 + 1.2. Which is the nearest to v? (a) -1 (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*r + 126 = 0, -u - 112 = 2*u + 5*r. Let o = -25 - u. Solve -3*a - 3 = 4*w + o, -a - 2*w - 1 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 426 + -1114454?\nAnswer: -1114027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2530 = 196*b - 306*b for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 946*o - 2835. Calculate q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*i - 1200 + 380 = 2293 + 849 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*a + 2*a**2 + 56*a + 88*a to h*a + k*a**2 + s and give h.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68.7 - 68.59. What is the third smallest value in 4, -1, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -16 + (-44 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 369 and 10089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b + 12. Let f be s(7). Which is greater: f or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/4)\/(-6)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 65 + -d72?\nAnswer: -d0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*(n\/(n**(-3\/4)*n*n))\/n*n*n*n**(5\/2)\/n)\/((n**(1\/4)*n)\/(n*n**(-2\/7)*n)) assuming n is positive.\nAnswer: n**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1220302201231?\nAnswer: -1220302201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -2c4b495?\nAnswer: 2c4b48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.4913 and 0.06?\nAnswer: 2.4313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-10)\/25)\/(-1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.81 + -17.43. Let u = 148 - 143. Sort 0, 4, w, u in increasing order.\nAnswer: w, 0, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**5 - 384*g**4 - 5481*g**3 - 11604*g**2 + 17472*g = 0.\nAnswer: -112, -13, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2503.63 + 2523. Let c = -2.07 + y. Let v = c - 5.7. Round v to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005425307 rounded to four decimal places?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*g - 25. Let b be (-180)\/126 + g\/14. Calculate the common denominator of (-376)\/30 + b\/(-3) and 17\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**3 - j**4 - 2 + 6*j**3 + j**2 + 0*j**3 to the form h*j**4 + o*j + c + m*j**3 + t*j**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p = -555 + 933 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2967 + -20?\nAnswer: -20.2967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k**2 + 17*k. Let r(y) = 3*y**2 - 6*y. Let l(v) = -17*r(v) - 6*u(v). Let z(q) = -4*q**2. Give z(l(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33734449?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 10*d**2 - 13*d - 6. Determine h(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o. Let k(w) = 11 - 2 + 3*w - 9. Determine i(k(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l - 36. Let k be a(8). Suppose 4*b + 4*d = 40, k*b + 3*d - 25 = 2*d. Solve -2*n = -b*n - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 20 = -6*y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 29. Let g = h - -9. Suppose a = -3, n + 0*n + 2*a + 1 = g. Let m(r) = r**3 - 6*r**2 + 6*r - 4. Calculate m(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1\/7 (b) -20988 (c) 0.015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*d - 800*d + 259*d = 88060 for d.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -43. Let y = -9 - m. Suppose -3*d = 4*v - 104, d + d + 104 = y*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.95 - -24.95. What is the second smallest value in -0.4, 5\/3, k, 6?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 557 - 1698. Let g = -374 + c. Calculate the lowest common multiple of 35 and g.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(14)\/sqrt(7) + 4 + 1.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*h - 876, 0*g - 3*g + h = -676. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 57159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*d - 5*c + 3*c, 4*c + 16 = d. Suppose 8 = a - 18. Let f = a + d. What is the highest common divisor of f and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o + 4. Let g be 4\/28*(o + 0). Let p = -0.7649 + 3.7649. Sort g, p, 0.3, -1 in descending order.\nAnswer: p, 0.3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 2*q. Let o(x) = 2*x**3 - x**2 - 3*x + 1. Let j(z) = -3*f(z) + 2*o(z). Calculate the least common multiple of j(-2) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u + 4. Suppose 4*g + 8 = u*n, 0 = n - 3*g + 1 - 7. Let j = -2 + 7. Sort n, 2, j in decreasing order.\nAnswer: j, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -8. Let q be 25\/3 + (-6)\/a. Let u = 12 - q. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 15*m - 32. Suppose 0 = 2*y + 6*y - 80. Let i be r(y). Is i != 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 293 and 38383.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 2. Let r be i(-3). Let w = r + 6. Let q = 4 + w. Calculate the smallest common multiple of q and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38757092?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + s + 5997 - 6152 = 5*o, -o = 4*s + 184 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.41 or -173\/5?\nAnswer: -173\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/101 or 1?\nAnswer: 21\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -1 + 11. What is the common denominator of (-15)\/(-11)*(-18)\/(-5) and l\/(-8) - 306\/56?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (574\/123)\/((-4)\/(-6)). Let n(i) = -6*i - 9. Let g(p) = 5*p + 8. What is l*g(d) + 6*n(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-21)*((-49)\/(-14))\/7.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110011 - -1013?\nAnswer: 111030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109421755 is divided by 135?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 683.71*-29\nAnswer: -19827.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1231 = 70*o + 143*o - 2300 + 549 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*a + 8*a + 9. Suppose 5*q + 2619 = a*l - 35749, 2*q - 12771 = -l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 68*u**2 - 3*u + 32. Let i(h) = -68*h**2 + 2*h - 24. Let f(c) = 4*i(c) + 3*l(c). Give f(-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1013809\/9 + -112829. Let v = w + 182. Find the common denominator of 16\/3 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-4)\/(-16))\/(-1))\/((-6)\/120). Is 2777\/((n\/(15\/(-6)))\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5 - 60*m**4 - 385*m**3 - 660*m**2 - 340*m = 0. What is m?\nAnswer: -2, -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.15 - 3.15. What is the closest to -1 in -1\/2, f, 1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + (23 - 37) + 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.1 minus 32?\nAnswer: -257.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*(1\/8)\/((-15)\/(-36))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - (-9130)\/(-1089) - -6 and 50\/243?\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -2*h**4\/3 + 5*h**3\/6 - 2*h. Let v(k) = 2556 - 2556 - 11*k + 17*k**2. Calculate -13*u(t) - 6*v(t).\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2. Let x(k) = -24*k**2 - 10*k + 18. Let t be x(-10). Let y = -1608 - t. Let r(p) = 674 - 6*p - y. Determine m(r(s)).\nAnswer: 108*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from lgolololgo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 449.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4164 - -258111\/62. Calculate the common denominator of j and -22.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f + 12. Let v be q(6). Let u(n) = 2*n + v*n - 5*n**3 - 2 + 1 - 4*n. Let g = 1 + -2. Determine u(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*i + 35, -3*i + 5 = -3*a + 2. What is the units digit of 0 - 2\/i*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -r - 2. Let p(c) = -29*c**2 - c. Let y be p(-1). Calculate the remainder when r is divided by (-98)\/y - 2\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(21)\/sqrt(48).\nAnswer: sqrt(7)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17171*r**4 + 4508 with respect to r.\nAnswer: 68684*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5114 and 18?\nAnswer: 46026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 582661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/70 and -53\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 - (9 + (-37)\/(-2)) - -9 and ((-4)\/12680 + 0)*(-890)\/4?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from nlylllny?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-37 + 35 + (3 - 7)) - (-6 + 87).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2399591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 310 or -5629?\nAnswer: 310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74\/5 or -8679.3?\nAnswer: -8679.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -7*i**5\/3 - 14911*i**4\/3 + 24211*i**3 + 91591*i**2\/3 - 457106*i\/3 - 153720 = 0?\nAnswer: -2135, -2, -1, 27\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(185 + 15 - 17 + (-1 + 3 + 0)*(-1 + 0 + 2))*(-171*w + 171*w - 63*w**4).\nAnswer: 11655*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 1:44 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3759, -14997, -33731, -59961?\nAnswer: -93687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17231260 is divided by 227.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5*r = -r + 24, 0 = -3*q - 3*r + 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-8))\/(-17 + (-805)\/(-46)). Which is the second biggest value? (a) 4\/5 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmjuhqq. What is prob of picking 1 m, 1 h, and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**1\/f))**(-1\/79)*(f**(-6)*f)\/f**(3\/5))**(-30) assuming f is positive.\nAnswer: f**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*f + 1622 - 18724 = 0 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(4\/(-10))\/(42\/35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.0651 - 0.0651. What is the nearest to 0 in 1\/2, 0.31, c?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(343)*4 + 2)**2 + 2*(2 + (sqrt(7) - (sqrt(7) - (sqrt(7) - (sqrt(168)\/sqrt(4))\/sqrt(6)))))*-4.\nAnswer: -784*sqrt(7) + 21985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/9 - 7579*s\/3.\nAnswer: s*(s - 22737)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuq when three letters picked without replacement from {u: 1, j: 1, r: 1, q: 1, k: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 19 = -5*m, 16 - 1 = -3*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49.4 - 89.6. Let w = u - -40. What is the biggest value in 4, -0.3, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/9 + 16*z**2\/9 - 4*z\/3.\nAnswer: -4*z*(z - 3)*(z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -144, 2, 0 in decreasing order.\nAnswer: 4, 2, 1, 0, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 20520.\nAnswer: -82080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -743*r**4 + 13835*r.\nAnswer: -8916*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtqnntovjonjnov. What is prob of sequence vt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -85? (a) -0.3 (b) -5 (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 19*t**2 - 73*t + 199. Let w be p(15). Solve -132*f + 19 = -128*f + 3*h, 0 = -w*f + 4*h + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 323101?\nAnswer: -323030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3844846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**3\/3 + 7. Let h(u) = 3*u**2. Calculate h(a(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 7286370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*a - 5267 + 2001 - 15591 + 668 = 0 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 1. Let k be c(1). Let g(z) = -z - 2. Let l be g(0). Put 1, l, k in decreasing order.\nAnswer: k, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16387, -13013, -7397, 455, 10537?\nAnswer: 22843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*b**2 + 181*b**2 - 12*b - 106*b**2.\nAnswer: -39*b**2 - 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 1. Let s(d) = -72*d**3 + 10*d**2 + 2*d - 5. Let g(q) = 6*j(q) - s(q). Let m(p) = p**3 - p**2 - p - 1. Let v(z) = g(z) - 2*m(z). Is v(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/((-1)\/(-6)). Suppose 20 + 24 = 4*n. Suppose -9 = -x + n. Solve -2*z = g*z + x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 4:43 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1226634205 + -4?\nAnswer: 1226634201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*z - 0*o + 77, -15 = 3*o. Does 4 divide (-15)\/10*z\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32726820 and 325640?\nAnswer: 65453640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97\/1161 - -2\/43. What is the third smallest value in k, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*y + 48*y = 7, 5*i - 5*y = 55 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*n - 79 - 191 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {a: 2, m: 4, d: 1, k: 2, f: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 922 - 1914. What is the remainder when 50 is divided by (o\/28)\/(-2) + 6\/21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375196463.\nAnswer: 107, 421, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -478825, -957650, -1436475, -1915300, -2394125, -2872950?\n\"Answer: -478825*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1175 and 869.8?\nAnswer: 2044.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -535976, -1071850, -1607724, -2143598, -2679472, -3215346?\n\"Answer: -535874*m - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*b**4\/13 + 4902*b**3\/13 - 92330*b**2\/13 + 236994*b\/13 - 6696\/13 = 0.\nAnswer: 1\/35, 3, 31, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from tttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -834 + 214*c**2 - 15750*c**3 + 632*c**2 + 1648 - 814 wrt c?\nAnswer: -94500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 88, 129?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 7 = -4*f, 4*x = 7 - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 801972 (base 10) to base 6\nAnswer: 25104500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*c**3*q**2 - 32*c**3*q*x + 143*c**2*q**2 - 2*c**2*x + 3*c*q*x wrt c.\nAnswer: 162*q**2 - 192*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54\/(-45)*10\/(-4). Solve y*g + 2*g + 25 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**3 - 380*h**2 + 3*h + 233. Calculate c(-76).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7694, -4, -65, 4?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p. Let u(a) = -19*a - 17. Let q(b) = -u(b) - 4*w(b). Let o(c) = -75*c - 85. Let g(n) = 2*o(n) + 11*q(n). Differentiate g(i) wrt i.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 6*u**2 + 8*u + 3. Let b be n(-5). Let m = b + 9. Sort 4, m, -4.\nAnswer: -4, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/14 in 3, -4, 4\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-114)\/54)\/(12426\/(-1962))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 - 7*f**2 + 9*f + 13. Let p(y) = y**3 + 3*y**2 - 4*y - 6. Let r(s) = 9*p(s) + 4*x(s). Is r(3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 4*o - 15 = 3*k + 5*k, 5 = -3*k + 4*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 12*p. Let q be k(12). Suppose 0 = -4*o + 4*b + 538 - 126, -2*o - 5*b + 220 = q. Let t = o + -76. Solve 10 - t = -4*r - v, v = -r + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111110001 - -100?\nAnswer: -111111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -113*h**5\/4 + 19*h**4\/12 + 67*h**3\/2 + 1272*h. What is the third derivative of i(d) wrt d?\nAnswer: -3390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 7612, -119 in descending order.\nAnswer: 7612, 4, -1, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v. Let p(m) = 2*m - 5. Let q(d) be the second derivative of -d**3\/6 + d**2 - 7*d. Let r(s) = -2*p(s) - 5*q(s). What is r(c(j))?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8000*g**3 + 11827*g?\nAnswer: 48000*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -127 (b) 1\/4 (c) 0.05 (d) 1323\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -188, -283, -378?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -420 + 417. Let d = 112 - 793\/7. Which is the third biggest value? (a) n (b) -1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 17. Give i(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11518*d*x**3 - 16253*x**3 wrt d?\nAnswer: -11518*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, -59, -208, -501, -986, -1711, -2724, -4073?\n\"Answer: -8*z**3 + 3*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10010111110010111010101 (base 2) to base 6\nAnswer: -254335541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -6. Let b(y) be the second derivative of y**4\/12 + y**3\/6 + y**2\/2 + 6*y. Give b(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153712.\nAnswer: 2, 13, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Let q(y) = -2*y + 4. Let t be q(w). What is the remainder when (5 - 5) + 38 + t is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4418 + -2439. What are the prime factors of c?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684*m - 682*m - 4*r = -2, r - 3 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccmiccccciccmcccm?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -127\/5, 2, 4, 1347\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*t + 28263 = 28256, 0 = 2*t + 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdv when three letters picked without replacement from ldvvdddbddklvb.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3675 - -8945. What are the prime factors of r?\nAnswer: 2, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30171393 < 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 17*t**2 - t + 10. Let m be u(-17). What are the prime factors of 210\/m - 4\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -71 - -78 - (1 + 53\/9). What is the nearest to 0.6 in 0.5, c, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431093034.\nAnswer: 2, 3, 2659, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311 + -111220?\nAnswer: -110303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30032262.\nAnswer: 2, 3, 13, 179, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f = 37*f - 84 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -142, 1.8, 1\/4, 30, -0.5 in ascending order.\nAnswer: -142, -1, -0.5, 1\/4, 1.8, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 79307 = -5*t, 0 = 4*t - 2*v - 66969 + 3541. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20203, 82487, 186841, 333271, 521783?\n\"Answer: o**3 + 21029*o**2 - 810*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 0*y + 7\/30*y**5 - 13\/6*y**3 + 27*y**2 + 1\/6*y**4 + 0. Let q be g(3). Calculate the highest common factor of 25 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 2003*a**4\/12 + 9*a**3\/2 - 42*a. Let u be z(-9). What is u rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((28 - (-4 + -16)) + -10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 507 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16419019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -12, -13, -10, -3, 8?\n\"Answer: 2*p**2 - 11*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2067.55 to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452 + 452 + 6*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.2, -2, -30?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, q: 2, j: 1, b: 1, o: 6, d: 3}. What is prob of picking 1 s and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 1. Let d(f) = 2*f - 37. Give -d(n) - 2*u(n).\nAnswer: 2*n + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.61? (a) -0.2 (b) -2\/9 (c) -0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92187863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27755191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 98\/(-12) + 22 + -14. What is the smallest value in x, 2\/7, 6, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25.03 - 0.97. Let c = 25.124 + b. Round c to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25*(117\/6)\/(-13)*64\/48\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 961, 963, 965?\n\"Answer: 2*y + 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**3 + 2*u**2 - 1. Let a be p(-1). Which is greater: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 713*c**2 + 89*c + 21. Let h be x(-2). What is the highest common factor of 140 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**5 + n**2 - 3*n. Let k(u) = u**4 - u**3 + u. Let d(q) = 3*k(q) + w(q). Factor d(i).\nAnswer: -i**2*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12 + -16*(-126)\/140)*(-5)\/(-3). Let a = -6 - -2. What is the closest to 0.08 in a, p, -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -348936314090.\nAnswer: -348936314095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/5, 0.02, 0.3, -0.5, 2\/1763?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 2*c - 1. Let m(f) = 3*f**2 + 3*f - 2. Calculate -5*k(d) + 2*m(d).\nAnswer: d**2 - 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 7:43 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/((45\/(-50))\/3). Suppose j*t = 2*n + 258 + 99, 4*n - 280 = -4*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 5*f**3\/3 - 33*f**2\/2 - 63*f. Let q be l(6). What is the highest common divisor of q and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - n - 14, 0*k + 2 = -k - 3*n. Let i(o) = 2*o - 5. Let c be i(4). Let t be 4\/((-40)\/6) + (-3)\/(-5). Sort k, c, t.\nAnswer: t, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -14. Which is the nearest to 9? (a) -0.3 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.7 - -19.7000005. Round y to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117) + 3*sqrt(117)*-3)\/sqrt(9).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1)\/((-5)\/((-70)\/6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*z - 3*z - 45 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 330736 - -1516?\nAnswer: 332454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*g - 2*g - 2, 2*a = -g. What is the closest to 16 in 4\/7, a, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3, 160, 35, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 1. Let b be o(-1). Let u be 6214\/(-65) - (-6)\/10. Let w = -87 - u. Solve -v + w = 3*k, b*v - 14 = -0*k - 5*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 0 + 1 - 5. Let h be u(-4). Suppose h*p = 5*z + 229, 4*p - 2*p - z - 119 = 0. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - 30. Let q(v) = -7*v + 7*v - v + o. Let a be q(4). Sort a, -1\/3, 23.\nAnswer: -1\/3, a, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8384408*f**3 + 22*f - 255016 wrt f?\nAnswer: -50306448*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 10*p - 58. Which is the third biggest value? (a) p (b) 2\/3 (c) -1 (d) -7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10*d. Let a(z) = 84*z - 2*z**2 - 84*z. What is k(a(r))?\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 690.2516 millimeters in micrometers?\nAnswer: 690251.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2613490224?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y + 31*y = -20, -4*g + 4*y = 8. Let i(o) = o**2 + 6*o - 4. Let f be i(-6). Sort 1\/9, 0, g, f in increasing order.\nAnswer: f, 0, 1\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1228314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6364111115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 3199, 11311, 27111, 53161?\nAnswer: 92023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -11*x**2 + 6*x**2 - 12*x**2. Let y(d) = d**2. What is y(u(s))?\nAnswer: 289*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 318 = 2*f. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*39\/42 + -4. What is the second smallest value in 0.08, 0.6, w, 2\/7?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -4\/11 (c) 1234835\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 14\/2*-1. Let i be 11\/(-2) - (-4)\/w. Let n be ((-4)\/(-6))\/(i\/(-9)). Solve -o = -2 - n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**3\/6 + l. Let f be (-28)\/(-20) - 4\/10. Let c(w) = -2*w. Give f*c(h) - 3*j(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {j: 2, f: 5, l: 1, u: 1, w: 1, c: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*v + 16, 22 = 4*v - 2*g + 2. Let c be (77\/55)\/(2\/10). Suppose 5 = v*f - c. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 33891*f - 2846801. Calculate a(84).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*f + 20 + 9, -2*h + 4*f = 6. Let o = 19 - h. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a kilometer in meters?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*i - 7*i - 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60.25 - -3.18. Round r to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 170, 373, 622, 917, 1258, 1645, 2078?\n\"Answer: 23*p**2 + 134*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 102 and -14570707268?\nAnswer: 14570707370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3807 - 12183 = 4*m, 0 = p + m - 3189. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = f, 6*x - 2*f = 2*x + 16. Suppose -x*u - 4*s - 4 - 6 = 0, u = -2*s - 4. What is the biggest value in 4, u, 1\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 82642\/(-99) - (-4)\/18. Let g be 8\/(-44) + (-9176)\/(-11). Let b = f + g. Put -1\/4, b, -2\/9 in descending order.\nAnswer: -2\/9, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 + 144 = 14*u. Calculate the remainder when (28\/35)\/(1\/60) is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71\/25387 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.619524 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/20 + (-35)\/(-42)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026372817 to six dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0*h - 3*h)*(176 - 35*h - 176 + (3 - 6 + 4)*(-3*h + 3*h - h)) + (2 - 2 + 3*h**2)*(0 + 1 - 2).\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 216 = -5*h, 0 = -2*h + 5*h + 12. Suppose -58*c + 2565 = -73*c. Let g = c + 183. Calculate the remainder when d is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -390069, -390071, -390073, -390075?\nAnswer: -390077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -2)\/(11 - 2303\/210). Suppose o*i - 3 = 117. Suppose 1\/5*s + 0 + 1\/5*s**i - 1\/5*s**3 - 1\/5*s**2 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + u - 6. Let l be g(-6). Let r = -68 + 57. Let h = l + r. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -f + 1455, 4*f = -8*d + 12*d + 5844. What is the remainder when f is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhehhh. Give prob of sequence ehh.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32336791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 - 1 - z**2 + 1.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2592 and 103\/101664?\nAnswer: 914976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/6)\/((-98)\/588)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -0*i - 5*i. Suppose 4*b = -0*b + i. Calculate the remainder when -2 - (0 + -2 + -12) is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 - 3*k**2 + 3. Let u be -14 - (1 + 18\/(-2)). Let b(n) = 17*n**3 - 13*n**2 + 13. Calculate u*b(r) + 26*v(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50183441?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 4. Let z be a(6). Let i(j) = -403*j + 2083. Let g be i(5). What are the prime factors of ((-29)\/z)\/(g\/(-16) + 4)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n - 0*n. Let b be 2 - (n - 0)*-1. Let d(w) = 2*w. Give d(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 0.1 (b) 1\/3 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 4*i - 12, 3*s - 8*s + 13 = 3*i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f**3 + 183*f**2 + 228*f - 60 = 0.\nAnswer: -5, -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 300000 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -3\/2, 22656, 247, 2\/5?\nAnswer: 247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2017595*j**3 - 204*j + 2466.\nAnswer: -12105570*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82063 + 575706\/7. Let u = 181 - d. Let z be (-9)\/3 + 2 + -1. Which is the nearest to z? (a) -3 (b) -1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 3*p - 15. Suppose 0*n + n = 4*q - 17, 5*n + q = -43. Let c = n - p. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*a - 65, 3*a - 4*l - 5 = 5. Calculate the least common multiple of 16 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**4\/2 - 2*c**3\/3 - c**2 + c + 3. Let l be b(2). Solve 3*a - 4*d - 1 = 2*a, 10 = 3*a - l*d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/553770 and -139\/180?\nAnswer: 1107540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 165945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 4)*(-g + g - g) + (11 + 8 - 8)*(-2*g + 0*g - 5 + 2 + 2*g - 5*g + 5*g + (2*g - 3 + 3)*(4 + 3 - 5)) in the form l*g + q and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 2:58 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -13*f + 3. List the prime factors of j(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = -19*w - 71 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70513902 and 33?\nAnswer: 775652922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-5*3\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/21)\/(-2*1\/14). Suppose -m = -3*i + 15, -5*m + u*i + 25 = 7*i. Suppose 2*t - 11 = -3*x, t + 5 - 3 = m. Solve -2*w = -x*h, 0*h = -4*w + 2*h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**4\/4 - j**3\/6 + 3*j**2\/2 + 50*j. Let b be t(0). Let n = 2 - 0. Solve n*o + 14 = -b*c, -o = -c - 6*o - 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 - 3*x**2 + 3*x**2 - x**2 as c + f*x**2 + d*x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, 47, 132, 285, 524?\n\"Answer: 3*r**3 + 7*r**2 - 7*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3 - 16\/3. Let s be 2 - (-3)\/b*10. What are the prime factors of 1\/s - 84\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**4\/12 + a**3\/2 - a**2\/2 + 6*a. Let u be v(4). Let h(x) = x**3 + 4*x**2 - 5*x + 4. What is the units digit of h(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75793 (base 11) to base 4.\nAnswer: -122320023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 2*g + 11, -29 + 7 = -8*g - 2*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351379.\nAnswer: 7, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 209, 224, 259, 320, 413, 544, 719, 944?\n\"Answer: r**3 + 4*r**2 - 4*r + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57121 is divided by 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxbhhbgbhbbbbxghbhx. What is prob of sequence xxbh?\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -23*t - 6. Calculate the remainder when 43 is divided by l(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 604.2 - 604. Let z = 11 + -15. Which is the third smallest value? (a) 1 (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5443 - -5448. Solve 3*o - 2*o = -w + 2, -o = -g*w + 28 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-2))\/((1845\/984)\/3)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 6. Let x(f) = f - 1. Let v(m) = 211*m - 419. Let w be v(2). What is w*x(a) - k(a)?\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q + 4. Let m be w(-3). Suppose 2 + m = 5*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -74. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -427 + 611. What is the tens digit of r + ((-6)\/(-5))\/((-15)\/(-25))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 94, 207, 374, 601, 894, 1259?\nAnswer: 1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 f when three letters picked without replacement from {f: 12, r: 3}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1092*v = -14675 + 479 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlrlu. What is prob of picking 1 u and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 7*x**2 - 8*x**2 + 2*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - 3 - -39 - 1\/(-8).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 - -913 - -3)\/((-3)\/2). Let f = -485 - z. Suppose 0*u + 123 = 3*u. Calculate the remainder when f is divided by u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1307*u. Let x(j) = j. Calculate x(f(a)).\nAnswer: -1307*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/15, 1\/356, 5\/8, -0.17, -0.3?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, u: 3, w: 7}. What is prob of picking 3 w?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1337 divided by 797.\nAnswer: 1337\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 13. Let j(a) = -a - 5. Let y be j(-9). Suppose -3*u = u + y*s - 32, -5*s = 5. Let g be x(u). Sort g, -3, 17 in decreasing order.\nAnswer: 17, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 2*m**6\/35 - 29*m**5\/35 + 5*m**4\/7 + 58*m**3\/21 - 36*m**2\/7 + m - 78. Solve f(s) = 0.\nAnswer: -1, 2\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 3*c**2 + 2*c - 4. Let h be a(-4). Suppose -4*i + 0*n + n + 63 = 0, -2*n = h*i - 54. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 + t**2 - t**2 + (-t**3 - 2*t**3 + 0*t**3)*(4*t - 8*t - 4*t).\nAnswer: 26*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 157267?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 2, -82, 122 in decreasing order.\nAnswer: 122, 7, 2, -4, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-154) + 2\/11. Let l = -1.962 - 0.038. What is the nearest to -0.3 in 1\/4, f, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 23 + 47 = 0. Solve 4*v = 2*d - c, -4*v + 3*d - 2 - 3 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -81040, -81082, -81160, -81292, -81496, -81790, -82192?\n\"Answer: -3*d**3 - 21*d - 81016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -4470bad?\nAnswer: -4470bac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000622060447 to seven decimal places.\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -171*n**3 + 2*n + 87. Let s(q) = 169*q**3 - 3*q - 87. Let k(c) = 3*s(c) + 4*y(c). Find the second derivative of k(x) wrt x.\nAnswer: -1062*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*g**2 - 5 + 5 - 8*g**2 - 31*g**3 wrt g.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -922 - -1423. Suppose 2*j + 98 = 3*b - 2*b, 5*b - z = -j. What is b rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5 - 4*o**2 - 79 + 156 - 77 + 3*o**4 = 0. What is o?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 241.3 - 276. Let h = n + 35. Is 15 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o - 2. Let h(f) = 15*f**2 - 3*f**2 - 2176*f + 2174*f. Let a be h(1). Which is smaller: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + 2. Let k = 50 - c. Calculate the remainder when k is divided by -12*(-1)\/(-2)*-2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 11:54 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8267020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5405 = -7*j + 5550. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -18. Let m = x - -7. What is the remainder when m is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {m: 2, u: 1, z: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -3225, 33 in increasing order.\nAnswer: -3225, -1, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 7*v + 1. Let l be n(6). Suppose 56870 - 56994 = 62*d. Put l, d, 4 in descending order.\nAnswer: l, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 14*s - 35. What is m(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 124*j**2 - 599*j + 5944. Determine h(-129).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*b - 24. Let h(v) = -v + 14 - 3*v - 8*v + v**b. Let p be h(11). Let q(g) = 2*g - 6. Give q(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39295824.\nAnswer: 2, 3, 181, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 4, -3.06, 5, -5 in decreasing order.\nAnswer: 5, 4, -1\/2, -3.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -1 + 10. Let z(y) be the first derivative of y**2 + y - 1. What is z(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57? (a) 29 (b) 0 (c) -5\/2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 305322?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 394409 - 788765 + 394399 - 5*p. Calculate a(0).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*q - 211, -5*b + 0*b - 3*q + 341 = 0. What are the prime factors of b?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 28 - 250\/7*i**2 + 162*i + 12\/7*i**3 = 0.\nAnswer: -1\/6, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(2) - 1*-2*sqrt(2) - sqrt(2)))\/(-6*(sqrt(72) + (sqrt(72) - (sqrt(72) + (sqrt(72) - (sqrt(72) + sqrt(72)*2)))) + sqrt(72))\/sqrt(8)).\nAnswer: -sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 - 25\/(-12))*230\/1 and 101\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 291266*c**3*v*y**2 + c**3*v*y - 2*c**3*y - 29*c*y**2 - 2*c*y + y**2 + 110*y wrt v.\nAnswer: 291266*c**3*y**2 + c**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 939*b**8\/56 + 375*b**4\/4 - b + 601. What is the third derivative of m(l) wrt l?\nAnswer: 112680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/40)\/(21\/210). Let z = -0.16 + -0.54. Which is the second biggest value? (a) f (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**3 + y**2 - y**2 - 2)*(2839*y + 6*y + 5312*y) to the form w*y**2 + k*y + a + v*y**4 + u*y**3 and give k.\nAnswer: -16314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**7\/14 + 3*c**5\/10 - c**3\/2 + 4*c. Factor a(g).\nAnswer: -3*g*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*f + 4*t, -3*t = -2*f - 0*f - 13. Let m be f + (-2 - 102\/(-3)). Calculate the least common multiple of ((-5)\/m)\/((-1)\/6) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -859, -2045, -3727?\nAnswer: -5905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 22*n - 44. Let h be p(18). Let z be 7\/(h\/18)*(-4)\/6. Let v(y) = -y**3 - 3*y**2 + 3*y + 1. Determine v(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 4, r: 1, g: 1, k: 1, o: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -277 (b) 3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -7 - 8. Let v = -11 - -15. What is the smallest common multiple of v and -3*(-2 + 2\/y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3085169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742651 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 are the prime factors of 9972?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 1767?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0151772 rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15\/((-15)\/(-1))*1*7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 13*s - 1210 = k, -3*k = -5*s - 1504. Is s <= -295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 108*g**2 + 870*g + 196. Calculate i(99).\nAnswer: -1883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/299595 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -5\/2 (b) -2 (c) -5.3 (d) 0.8 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (14 + (13 - 7) + -24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-70)\/8)\/((-3)\/(-12)). Let p be ((-28)\/k)\/((-2)\/(-5)). Suppose c - 4*c = -6. Solve -3*z = -4*r + c*z - 17, 4*z = -p*r - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 4. Let r be x(0). Suppose -r*f = -20 - 4. Suppose -67 = -f*m - 7. Calculate the remainder when 69 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)*v\/(v**(1\/10)\/v*v))**(3\/7)\/((v**(-6)\/v*v)\/v*v*v*v*v**8*v*(((v*(v\/(v\/(v*v**(-2)*v*v)))\/v)\/v)\/v)**(-13)) assuming v is positive.\nAnswer: v**(-1383\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*f + 236*f + 52*f - 92491 = -595*f for f.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-996048)\/(-80) + (-1 - (-36)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let x(j) = 42*j - 3. Suppose -10*h = 8*h - 126. Let c(z) = -14*z + 1. Let k(b) = h*c(b) + 2*x(b). Give 22*f(n) + 2*k(n).\nAnswer: -6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1145*u**5 + 53*u + 1?\nAnswer: -22900*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b - b**2 - 4*b + 3*b**3 - 4*b to h*b + k*b**3 + w + n*b**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvggwvguvruwgwgwwdwv. Give prob of sequence guu.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 517636 and 10352720?\nAnswer: 10352720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**2 + 3*j + 9. Let z(h) = h**3 - 6*h**2 + 3*h + 10. Let n(y) = 4*t(y) - 3*z(y). Let n(d) = 0. What is d?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21291)\/31710 - 2\/(-20)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 - 84 - (7 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16+301051.88\nAnswer: 301067.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + (-560960)\/25)*2\/24. Let t = -1868 - v. Calculate the common denominator of t and -97\/92.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**5\/60 + 7*q**4\/24 + 7*q**3\/2 + 5*q**2 + 3. What is v(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12 - 30261*v - 30263*v + 60526*v + 1035*v**2 wrt v?\nAnswer: 2070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-188)\/84) + 16\/(-28). Let n = 1 - 1.2. Let o = n + -0.3. Which is the nearest to g? (a) -4 (b) -5\/2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6)*9 - 0. Suppose 0 = 2*n - 3*n + s. Let o(u) = -1 - 2 - 2*u**2 + n. Let q(d) = d. Calculate q(o(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3328684 and 28819.\nAnswer: 535918124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*w**3 + 82*w**3 - 305*w**3 + 110*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**3\/2 - 668690*g**2 - 149048326239*g\/2 + 49683072609 = 0.\nAnswer: -222897, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(-5*(sqrt(91) - sqrt(91)*-1 - sqrt(91)))\/sqrt(7) - (3 + (-3 + (sqrt(1053) - (sqrt(1053) + -2*sqrt(1053))) - sqrt(1053)))**2)*3.\nAnswer: 60*sqrt(13) + 6318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v**3\/3 - 1064*v**2\/3 - 6296*v\/3 + 896 = 0. What is v?\nAnswer: -6, 2\/5, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14100 + -40?\nAnswer: 14010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -136\/3*a + 52 - 44\/3*a**2 + 8*a**3.\nAnswer: 4*(a - 3)*(a - 1)*(6*a + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1155\/(-85))\/7 + (-5 - -7)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + 5*g**3 - 3*g**3 + (2*g - g - 2*g)*(-g**2 - 4*g**2 + 0*g**2) - 2*g**3 + 3*g - 3*g in the form z + u*g**3 + d*g**2 + x*g and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 8*z + 3. Let r(g) = 2*g + 2. Let o be r(3). Let b be j(o). Suppose -4*q - b*m = -19, -m = -3*q - 6*m + 6. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g**(-1\/2)*g*g*g**(-3\/5)*(g\/g**(1\/2))**(-26\/3) assuming g is positive.\nAnswer: g**(-43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-3*-6 - ((sqrt(1088) - (sqrt(1088)*-2)**2) + sqrt(1088))) + 3.\nAnswer: 2*sqrt(17) + 4355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52857?\nAnswer: 3, 7, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 3*x - 5. Let z be s(6). What is the derivative of -2*w + z*w + w + 3 wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(112) + sqrt(343)*-2)**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l + 8 - 11*l + 25*l. Let j be s(4). What is the remainder when (741\/j)\/((-1)\/(-4))*2 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 1, j: 8, u: 5, d: 2}. Give prob of picking 1 d and 1 j.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*y = 6*y - 32024, 9*y = -d + 10708. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f = -27*f - 705 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*f**3 - 95*f**2*i - 8*i - 19 wrt f.\nAnswer: 15*f**2 - 190*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126 - 105. Let k be s\/6 + (36\/(-8))\/9. Factor -2*h**4 - 3*h**2 + 7*h**k + h**5 - 8*h**4 + 5*h**4.\nAnswer: h**2*(h - 3)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 0. Let -3\/4 - q**h + q + 1\/4*q**4 + 1\/2*q**2 = 0. Calculate q.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.1, -65, -5, -1\/6, -1\/130?\nAnswer: -1\/130","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 13. Let j be f(13). Suppose j = -23*l + 21*l - 6. Let r(t) = -t + 4. What is r(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21971 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2356266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74632, 149172, 223688, 298168, 372600, 446972, 521272, 595488?\nAnswer: 669608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 10 - (-7 - -10))\/(5\/125). Which is the closest to -11? (a) v (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4048 - 4048.5. What is the biggest value in -15, 1\/2, l, -27?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y - 135916 - 136944 + 272860.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -57, -84, -111, -138?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 152, -709, 4, -45 in increasing order.\nAnswer: -709, -45, 0, 4, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - 0.2. Let g(k) = k**2 - 10*k + 6. Let r be g(7). Let u(f) = f + 17. Let l be u(r). Which is the third biggest value? (a) 5 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v = 95. Suppose g = -12*t + 15*t + 188, 0 = -g + 2*t + 188. Calculate the remainder when g is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 143\/330 + 6\/(-10)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -362 divided by 920\nAnswer: -181\/460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 9*v + 535. Let s = 243 + v. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i*x + 45889434*i + 3097232*x**4 wrt x?\nAnswer: 4*i + 12388928*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 297379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26650351 (base 7) in base 4?\nAnswer: -21122003122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 541*z - 10871. What is o(22)?\nAnswer: 1031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*g - 356*g - 3*g**3 + 183*g.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 2992168.\nAnswer: 23937344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 11*x**2 + 2*x - 20. Let y be j(11). Suppose 0 = -3*f + y - 2. What is the units digit of (f - (-2 + 0)) + 4 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + -2 + 7 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-6)\/9 - (-8)\/(-6)). Let y = -2 + 5. Sort k, -4, y.\nAnswer: -4, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45f4c (base 16) in base 9?\nAnswer: -476047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4)\/(-24) - 25169\/(-42) - (-24)\/42 and 264.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47545912 is divided by 778?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/9 + 860*d**3\/9 - 28414*d**2\/3 - 1566352*d\/9 - 2784824\/9 = 0 for d.\nAnswer: -14, -2, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (13 + -12)) + -24.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - (24 + (-23 - -10) + -36).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Suppose -u*g - 2 = -4*g. Let d = -2 - -5. Solve -3*s - 5 = -g*n, d*s - 13 + 3 = 5*n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - -20003?\nAnswer: 20030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 + 2) - (16 + -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 smaller than 124\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 16*m**2 + 33. Let x be k(-16). Suppose -4*d + 173 = x. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34048 divided by 7\nAnswer: -4864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 205 = 2*s. Let g = s - -128. What is the smallest common multiple of 3 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/336)\/((-3)\/36)*98.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 9*y + 3. Let a be r(-9). Let o = a - 4. Is (3\/6)\/(o\/(-68)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -798*c + 800*c + 5*b + 13, 0 = 5*c + 5*b + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -39.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s**2. Let y(g) = -4*g**2. Calculate t(y(u)).\nAnswer: -96*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 16749 and 16754 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 505 - 506. Is 4 a factor of (289 - (-9 - -2)) + 3*p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*i - 28 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 7*q + 2. Let j be i(-7). Suppose -j*z + 32 = 2*z. Let r = 3228 + -3218. Is z not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**4 + 2*x**2 - 60*x**3 + 3*x + 61*x**3 - 3*x - x to a*x**3 + g*x**4 + d + p*x + i*x**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(325)*-3)**2 + -4.\nAnswer: 11696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-60)*(-10)\/16?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21442259 and 38.697?\nAnswer: 21442220.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at most as big as 315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17, 37, 57, 77, 97, 117?\n\"Answer: 20*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i + 169. Let m be n(26). Suppose 0 = -v + m - 272. What is the highest common factor of v and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(7) + sqrt(28)\/(1*sqrt(4)) + 2 + ((sqrt(567) + -2*sqrt(567))*3)**2)*2.\nAnswer: 12*sqrt(7) + 30630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 30, 48, 66, 84, 102?\n\"Answer: 18*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l + 1. Let p be j(-1). Let y = -4 - -8. Suppose 3*b - 5*t - 49 - 125 = 0, -p*t = -y*b + 224. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c\/((c\/c**(2\/93))\/c*c*c))\/c)))\/c**(-1))\/(c**8*(c\/(c*c**(3\/8)))\/c) assuming c is positive.\nAnswer: c**(-5657\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -686*d**2*p**2*q + 11*d**2*p + 61400*d*p**2 + 4*d*p + 1508*q with respect to q.\nAnswer: -686*d**2*p**2 + 1508","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 6.29362 decades in millennia?\nAnswer: 0.0629362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**7\/210 - 23*r**6\/60 - 2*r**4 + r**2 - 39*r. What is the second derivative of c(i) wrt i?\nAnswer: 12*i**2 - 276*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -627, -703, -831, -1011, -1243, -1527, -1863?\n\"Answer: -26*n**2 + 2*n - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/7 - 32*p**2\/7 + 52*p\/7 - 24\/7.\nAnswer: 4*(p - 6)*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3996 - -119863\/30. What is the common denominator of b and -11\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1672)\/266*-36*(-42)\/288?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2898676 is divided by 1449262?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 62\/3, 16, 112, 2?\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 68\/14 + 5\/35. Suppose j + 64 = h*j. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*j - 1600. Calculate the highest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 214, 0.1, -2\/7, 1\/56?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/270 and 41\/212.\nAnswer: 28620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**6\/120 + 2*a**5\/15 + a**4\/24 - a**3\/3 + 2*a**2. Let k be y(8). Calculate the greatest common divisor of 42 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5802 times 5?\nAnswer: -2.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + ((sqrt(6336) + -2 + sqrt(6336) + sqrt(6336) - sqrt(6336)) + 1)**2 + sqrt(6336))*-6.\nAnswer: -152051 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) - 1\/(-3). Sort -3, u, -5.\nAnswer: -5, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 97 + -b4?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8678, -17263, -25838, -34397, -42934?\n\"Answer: n**3 - n**2 - 8589*n - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1442032 + -20?\nAnswer: -1442102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/25)\/((-2)\/(-15)). Let v = x + 21. Calculate the highest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12012102 (base 3) to base 8.\nAnswer: 7317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2+-323784846809429\nAnswer: -323784846809427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6.6. Let l = -0.1 - n. Let w = -42 + 42.3. Which is the closest to -0.1? (a) 2 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q - 7. Suppose x = 4*x. Let j(o) be the third derivative of 1\/12*o**4 - 3*o**2 + 0 + 2\/3*o**3 + x*o. Determine -4*a(k) - 7*j(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1985 - 1269. Suppose -16*g + 340 + q = 0. What is the remainder when g is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2942? (a) -29 (b) 8 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, -6, -3, 2 in increasing order.\nAnswer: -7, -6, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52626, 107067, 161508?\nAnswer: 215949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 10*s**2 - 10*s + 11. Let a be d(-11). Let t = 82 - 58. Suppose -3*i - 14 = f, 4*i + t = -f - i. Put f, a, -2 in increasing order.\nAnswer: -2, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*c + 17 - 17 + 12*c as r*c + b and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 1. Let d = v - -4. Suppose -911*a + 15 = -916*a, 0 = 4*f - 3*a - 89. Solve f = h + d*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -15*y. Let q be t(-1). Suppose -v = q + 18. Which is smaller: -32 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78733\/12 + 6562. Let p(w) be the second derivative of 0*w**3 - 21*w + c*w**4 - 1\/5*w**5 + 0 + 0*w**2. Find the third derivative of p(o) wrt o.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 181 and 118603327?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -17 + 0 + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 48*j - 258. What is v(0)?\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(2\/7)*o))**(-2\/33)*(o\/o**1*o)**(2\/183) assuming o is positive.\nAnswer: o**(-152\/4697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 3*m - 55, 1 = -4*m + 4*p - 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 13. Suppose -v + 2 + 2 = s. Suppose 2 = v*q + 2*n, 4*n + 21 = 3*q - 8. Sort 0, q, -3 in decreasing order.\nAnswer: q, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -127?\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -644 and -655 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 s when four letters picked without replacement from {n: 7, s: 9}.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 - -69. Suppose 5*p - b = 319. What is the remainder when p is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 10*b**2 + 9*b + 12. Let h be c(-9). Calculate the greatest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 10:48 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 - 4)\/(1\/43) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 14*p**2 + 3. Let c(s) = -15*s**2. Determine w(c(x)).\nAnswer: 3150*x**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + l + 0 = 14, 3*l - 12 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 1\/30*b**5 + 0*b + 1\/6*b**3 - b**2 + 0 + 1\/6*b**4. Suppose 0 = 2*g - 21*g - 127*g - 584. What is l(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*s**3 + 37*s + 22421 with respect to s.\nAnswer: -162*s**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31010 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -6, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18298482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t**2 + 66*t + 1. What is c(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - l - 1. Let m(p) = 2*p**3 + 4*p**2 + 4*p + 1. Let o(s) = 6*s - 92. Let j be o(16). Suppose j*u - 16 = -0*u. Calculate u*z(q) + m(q).\nAnswer: 2*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47476.\nAnswer: 2, 11, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((-60)\/(-25))*-3. Suppose 0 = -5*f - m - 65. Let k be f\/(-7)*(0 - -2). Solve 0*u = 2*r + 5*u + 18, -5*r - 11 = k*u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {e: 8, i: 2}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**2 + 1265*p = 0.\nAnswer: 0, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 34 - (-40 - (-4 + -20))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(6\/7)*k**(-22\/7)\/k)**(-4\/11))**47 assuming k is positive.\nAnswer: k**(4324\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44656 and 345024?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*q - 1)*(-q**2 + q**2 - 4*q**2).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**5\/60 + 13*t**4\/12 + 47*t**3\/6 - 9*t**2 + 2*t. Calculate the smallest common multiple of z(27) and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 4 - 4 + (4 - 2 - 3)*(86*c - 127*c - 108*c))*(-c**3 + 2*c**3 - 5*c**3) to the form b*c + j*c**2 + s + p*c**3 + u*c**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4 - 6*k - 6*k + 10*k - 3*k. Let q(b) = 2*b**2. What is t(q(l))?\nAnswer: -10*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -7 + -2 + (-1 - 7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2338, -1495, -664, 149, 938, 1697?\n\"Answer: -a**3 + 850*a - 3187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -385?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 5)*(-3465)\/660. Solve 8*l - t*l - 52 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 27 = 2*u, 20*u - 18*u = -4*i + 6. Suppose 4*o - 9 = -u. Sort o, 32, -3 in decreasing order.\nAnswer: 32, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3192, -13692, -31372, -56232?\nAnswer: -88272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2203*x - 2240441. Calculate k(1017).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3813.535mm?\nAnswer: 3813535000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208354, -416710, -625066, -833422?\nAnswer: -1041778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/3 (b) 0.08 (c) -2\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1998 + 1994. Let t(j) = 15*j - 2. Let a(f) = 14*f - 1. Let r(m) = -7*a(m) + 6*t(m). Give r(v).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 97152 and -0.066156373.\nAnswer: 97151.933843627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 687 - 460*k + 2568 - 528*k + 389 + k**2 - 3*k**2 with respect to k.\nAnswer: -4*k - 988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252.0857us in minutes?\nAnswer: 0.000020868095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -172 - 170 - 2*c + 13*c + 117 + 2*c. Give u(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16573170 divided by 4965.\nAnswer: -3338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 9 = -4. Let a be ((-192)\/(-30) - 7) + 483\/j. What are the prime factors of (-2 + 50\/(-8))\/((-18)\/a)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/((-19)\/76). Suppose 0*y + 2*y = 0. Suppose a - 3 = -y*a. Solve 5 = -t*f + a*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcuc when four letters picked without replacement from {c: 10, u: 6, b: 1}?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-8)\/(-48)*2. Let a = -16 - -28. Solve 5*h = -5*p + 15, -2*p - k = -2*h + a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 1212120000?\nAnswer: 1212120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*g = 420*g - 804*g + 93 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5\/7 - 116*t**4\/7 - 1368*t**3\/7 + 11332*t**2\/7 + 58714*t\/7 + 46128\/7 = 0. Calculate t.\nAnswer: -31, -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 43 + (-12)\/(-18)*21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*j + 2. Is j\/4 + (-4689)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 568fb (base 16) to base 12.\nAnswer: 151223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9740 + 135?\nAnswer: 9875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13032 (base 4) in base 10?\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*v + 424 = 0, 3*s - 103 = 2*s + 2*v. Calculate the highest common divisor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3468328*j*v**2 - 57*j*v + j - v + 121 wrt v.\nAnswer: 6936656*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138473571.\nAnswer: 3, 46157857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -39858458 divided by 2?\nAnswer: -19929229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-five thirds of a hour?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300\/(-345)*(-126)\/30?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 + (-39)\/(-15). Let z be (-1)\/(-2) - (-10)\/4. Suppose z*x - 105 = -u. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13569354 is divided by 560?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34357 is divided by 96?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1840115439.\nAnswer: 3, 19, 10760909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 10*h**2 - 8*h + 9. Let j be w(-10). Let d = j - 83. What is the highest common divisor of 66 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(5 + sqrt(171))**2 - ((sqrt(171) - (sqrt(171)*2 - sqrt(171))**2) + 3)) + 4.\nAnswer: -2292 - 294*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 164*a**4 - 4*a**3 + 4*a + 141. Let s(g) = -164*g**4 + 5*g**3 - 5*g - 142. Let d(b) = 5*p(b) + 4*s(b). Differentiate d(y) wrt y.\nAnswer: 656*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -99, -433, -997, -1797, -2839, -4129, -5673, -7477?\n\"Answer: -i**3 - 109*i**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311002112320 - -1?\nAnswer: 1311002112321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.7 - -18. Let t = 4.7 + z. Let j be (-2)\/56 + 2\/(-8). What is the biggest value in -1\/3, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -0.1 (c) 6 (d) -2 (e) 150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-60) + (-44)\/(-132)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + v**2 + 15*v - 316. Give t(9).\nAnswer: -829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*(sqrt(18) - sqrt(1800)*-2))\/(sqrt(150)*-5*4).\nAnswer: -21*sqrt(3)\/50 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1125\/8, -8, 11\/5, 1?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*f + 761 - 625, p + 2*f = 40. Solve 128*l - p = 136*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-34 + -10 + 18 + -16)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -20. Let k = r - 12.00000045. Round k to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -62, 85, 292, 559, 886, 1273?\nAnswer: 1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1064 and 23.\nAnswer: -2.4472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1793 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -7. What is the remainder when (3\/1)\/(-3) + 41 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) 0.5 (c) 1\/54 (d) 3 (e) 0.3 (f) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 e, and 1 z when three letters picked without replacement from dfxexzu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7. Let w(u) = u + 6. Calculate 3*p(z) + 4*w(z).\nAnswer: 4*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*y**3 - 4455 + 7*y**4 - 77*y**3 + 25*y**3 - 4320*y - 1350*y**2 - 2*y**4.\nAnswer: 5*(y - 33)*(y + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11572463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/z**(7\/6))))\/(z\/(z\/z**(-4\/13))) assuming z is positive.\nAnswer: z**(11\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 0, -0.4, 61.3 in increasing order.\nAnswer: -0.4, 0, 1\/6, 61.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2114901.\nAnswer: 3, 234989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15413113 (base 6) to base 8\nAnswer: 2053005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2 + 375*w - 2142 = 0. Calculate w.\nAnswer: 6, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663.131 nanometers in meters?\nAnswer: 0.000001663131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -153?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*p + 191*p - 55*p - 74*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l - 34 = -151. Factor 0 + 7\/3*r**l + 2\/3*r**2 + r**4 + 0*r.\nAnswer: r**2*(r + 2)*(3*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721469666 to the power of 1\/2, to the nearest integer?\nAnswer: 61004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (842 + 854 - 402)*(-2*c**2 + 2*c**2 - c**5).\nAnswer: -1294*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(1408) + -3*sqrt(1408))\/sqrt(11) + -3.\nAnswer: -15*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4*2\/1. Suppose 0 = -2*c + 3*h + 22, a*c - 4*h = 5*c - 8. What is the lowest common multiple of (-21)\/28*(-448)\/21 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1327*u**2 - 82258*u - 1019635232 with respect to u.\nAnswer: -2654*u - 82258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 6*f + 10. Let x be n(7). Put -3, x, 5, 7 in decreasing order.\nAnswer: 7, 5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 2*b + 3. Let m be d(-1). Are 4 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqn when three letters picked without replacement from {j: 2, q: 3, e: 2, a: 4, n: 2, z: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 422 + -392. Calculate the greatest common divisor of 150 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52249, -52162, -52075?\nAnswer: -51988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from gggggggggggggggggmgg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 169.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4626 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-215)\/(-45) + 14\/63.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*p - 180*p - 5*y = -618, p = -4*y + 138. What is the highest common factor of p and 8343?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvddvddvdvvvddvvdvvd. What is prob of picking 2 d?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6440 and 44896?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 19, 1, 3\/5, 7, 5\/4.\nAnswer: -1, 3\/5, 1, 5\/4, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - 3 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*k - 2 + 3 + 0 + 2.\nAnswer: -161*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -19016.\nAnswer: 3803.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1201369 to 3 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0456, 0.5, 17?\nAnswer: 0.0456","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 470, 1191, 2190, 3461, 4998, 6795?\nAnswer: 8846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 206 = 44. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) -3 (c) -2\/19 (d) -433 (e) 0.1 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/300 + h**4\/20 - 14*h**2 + 3*h. Find i, given that a(i) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + 3 + (sqrt(1900)*1 + -2 + 4)*3)**2.\nAnswer: -17200 - 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*x - 8, 0 = -4*n + 2*x + 54. Suppose -23 = 5*k + 7. Let z(i) = -14*i - 7. Let l be z(k). Calculate the highest common divisor of n and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(425)*4.\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45148 + 77023?\nAnswer: 31764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 - (-1)\/3*159\/(-53) and 235.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29355*z**2 - 48646 wrt z?\nAnswer: 58710*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177 + -103. Suppose d - 2*f - 97 + 26 = 0, -v = -d + f. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -392936760867?\nAnswer: -392936760865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -3561 plus 102.2?\nAnswer: -3458.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6376255741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -8*s + 32, 20*s - 4 = -5*f + 19*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/12)\/((-440)\/(-5500) + (-14)\/(-200))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/15 - 4084*s\/15 + 589888\/5.\nAnswer: 2*(s - 1418)*(s - 624)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -112*o**3 + 145?\nAnswer: -336*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 564630?\nAnswer: -564625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9552453029 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiiqiwzqiqiqwci. Give prob of picking 1 i and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9882833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152 - 148. Let k(x) = -5*x**3 + x + 40. Let c(u) = -15*u**3 + 3*u + 120. Let o(v) = b*c(v) - 11*k(v). What is the first derivative of o(m) wrt m?\nAnswer: -15*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -171, -756, -1747, -3144, -4947, -7156?\n\"Answer: -203*x**2 + 24*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3 - 125536*x**2 + 200585216*x - 82291589120 = 0. Calculate x.\nAnswer: 832, 29720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13271785?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*p**4 + 0 - 568\/3*p**2 - 50*p**3 + 0*p.\nAnswer: -2*p**2*(p + 4)*(p + 71)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5850804.\nAnswer: 2, 3, 73, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -6) + -3 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2433*x**3 + 7*x**2 - 30*x + 7. Let d(z) = -811*z**3 - 2*z**2 + 9*z - 2. Give -7*d(t) - 2*s(t).\nAnswer: 811*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 735 divided by -179512.\nAnswer: -735\/179512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4*t + 0*t)*(-1 - 2 + 0)*(-1 + 3 - 1).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/10 - 47\/20. Find the common denominator of d and -4 + (-129)\/66 - -2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 + 1 + 1 + -34. Let l = 47 + k. Solve 2 = -3*u - 7, 0 = 5*c - 2*u + l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 4*j - 1. Let v be f(-5). Let n(k) be the first derivative of -k**4\/4 + 5*k**3\/3 - 2*k**2 + 6*k + 2. Give n(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1098e2 (base 15) to base 10.\nAnswer: 791762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106 + 46 + 40 + -117.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -457554?\nAnswer: 1\/228777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 16*r - 12. Suppose -345 = 25*v - 2*v. Let l be w(v). Solve 0 = -5*x - l - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2059750 divided by -535.\nAnswer: 3850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 1. Let c(x) = -2*x**2 + x + 11. Let z be c(0). Let r(d) = 6*d - 62. Let t be r(z). Calculate o(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176.9812l to millilitres.\nAnswer: 176981.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 1. Let n(c) = -60*c + 5. Give 5*f(h) + n(h).\nAnswer: -55*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-18\/5)\/(d**(-3\/10)\/d*d))\/(d*d\/(d\/(d*d**(2\/7)\/d))*d)**(6\/11))**(-42) assuming d is positive.\nAnswer: d**(10503\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = a - 14, 3 = -2*a - 4*n + 7. Calculate the remainder when 22 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*j - 45 - 6 - 335*j.\nAnswer: 2*j - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -3. Let i = c + 4. Suppose -5*q + i + 3 = 0. Let o(r) = 13*r**2 + r - 1. Determine o(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 2*h**2 - 28*h - 30. Let w be k(7). Which is the biggest value? (a) 24 (b) 1\/11 (c) 3 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 v when three letters picked without replacement from {j: 2, v: 4, y: 3, o: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:19 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177592546 + 0.3.\nAnswer: -177592545.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -253*n + 63*n + 48*n to y*n + i and give y.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhrh when four letters picked without replacement from {e: 1, r: 5, i: 3, h: 6, t: 5}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 5*w**2 - 2*w - 3. Let o be x(-4). Suppose 3 + 2 = c. Suppose o - c = 2*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 208 = 3*s, -6*s + 2*d = -s - 343. Let i = -27 + s. What is the least common multiple of 6 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3\/5 + 19*f**2\/5 - 11*f - 363\/5 = 0?\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**3 + 2*r**2 - r - 6. Suppose -728*i - 169 = -715*i. Let a(x) = 9*x**3 + 5*x**2 - 2*x - 13. What is i*v(f) + 6*a(f)?\nAnswer: 2*f**3 + 4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001011001001001 (base 2) to base 12.\nAnswer: 50235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:35 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(5\/4)*y)\/y**(3\/2))\/((y\/(y\/y**(-2\/93)*y))\/y**(-26)))**(-2\/131) assuming y is positive.\nAnswer: y**(9571\/24366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a\/a**(2\/9))\/(((a**(3\/5)*a*a)\/a)\/((a\/(a**(4\/7)*a))\/a)) assuming a is positive.\nAnswer: a**(-439\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 7*q = q + 24, 8*q - 7*q - 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 4:17 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 302?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g**(-6)*g)))\/g)**(-2\/41)*(g*(g*g**(4\/31))\/g)\/(g\/g**29*g) assuming g is positive.\nAnswer: g**(36124\/1271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 88?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose x = 5 - u. What is the third derivative of -v**3 + 0*v**x - 4*v**2 + 2*v**2 wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -441 - 0?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/72 and 73\/66?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12002212102 (base 3) in base 14?\nAnswer: 288ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/25)\/((84\/70)\/2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 15*t**2 - 30*t + 24. What is the lowest common multiple of q(4) and 278\/4 - 8\/(-16)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 + 16 = 8*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (434\/14 - -2) + -2 + -6.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 15 = -7. Suppose 5*w - 5*m - 70 = 0, w - 2*w + 23 = f*m. Suppose 0*c = -w*c + 1445. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(1977\/492 + 12\/(-3)). Suppose x = 4*w - 128. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584625413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 701 = -2*z, -17 = 3*z - 8. Which is smaller: 140 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*4\/18*-3. Let f(a) be the third derivative of a**6\/120 + a**5\/30 - 5*a**4\/24 + 2*a**3\/3 - 27*a**2. Is f(p) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80111 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.8 + 0.2. Let h = 88311 + -10155669\/115. Let o = h - 10\/23. What is the third biggest value in c, o, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -9. What is the biggest value in -7, -1\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 990 (b) -2 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(209)*2)\/sqrt(11))**2*-3 + 1.\nAnswer: -8207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -654*b - 52. Let z be t(-12). Suppose -5*r - z = -4*m, 4*r = -4*m - 433 + 8229. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1608355 (base 9) to base 2\nAnswer: -11011001101111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 3*h**4 - 4*h**4 + (1 - 1 + 1)*(-152*h**4 + 222*h**3 - 222*h**3).\nAnswer: -154*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 80, 0.5, -2613\/8, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 275*j**3 + 126*j**2 - 3*j wrt j.\nAnswer: 1650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5687 (base 11) in base 8?\nAnswer: -16464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -26. Suppose -4*j - 16 = -2*p, 9*p - 4*p - j = 67. Solve -4*y + p = b, -b + y - f*y = -2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-234)\/(-14) - (-8)\/28. Suppose 33 + c = 5*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 29. Let b(p) = i - 4 + 4*p**3 + 3*p - 7*p. Let a(o) = -90*o**3 - 86*o**3 + 5*o - 3 + 171*o**3. Give 2*a(u) + 3*b(u).\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**5\/60 - 5*g**4\/12 + g**3\/3 - 8*g**2. List the prime factors of w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6210100906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.1829587 to 3 decimal places.\nAnswer: -16.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + sqrt(448))**2 + (-4 + sqrt(448) + 0)**2 + 3.\nAnswer: -1853 + 256*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321636 divided by -321636.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 14. Suppose i = 4*b - 3*t - 36, 5 = -3*b + t + 27. Let m be (b - 0)\/(-6 + 4 + 4). Solve m = -8*k + 7*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -19, -16, 7, 56, 137, 256, 419?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 20*l - 23*l + 15, 0 = -3*d + 5*l + 55. Let p(g) = -3*g + 5. Suppose 0*n + 2*n + 10 = 0. What is the lowest common multiple of d and p(n)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516620219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 379881861 to the nearest integer?\nAnswer: 19491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 89593300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -14.01. Let b = m + -2.9. Let i = b + -0.09. What is the closest to -0.2 in 1, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 40*t - 1. Let r(d) = 20*d - 1. Let m(x) = -3*p(x) + 5*r(x). What is the units digit of m(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15072, -30233, -45468, -60771, -76136?\nAnswer: -91557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (48\/(-60))\/(14\/(-5)). Which is the closest to l? (a) -4 (b) 0.01 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 10 = -14*u. Solve u*v - 6 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 299744489*d**5 - 7000*d**2 + d - 1122.\nAnswer: 17984669340*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622686.\nAnswer: 2, 3, 59, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3498, -3517, -3552, -3609, -3694, -3813, -3972, -4177?\n\"Answer: -r**3 - 2*r**2 - 6*r - 3489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -14. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 44*t**2 + 3392*t + 242. Calculate b(-77).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -139146 or -139144?\nAnswer: -139144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 10*t**2 - 5*t - 10. Let l be (5\/(-3))\/(4\/24). List the prime factors of b(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**3 + j**3 + 8*j**3)*(-94*j - 5789 + 5789) + 2*j**4 - j**4 + j**4 to p*j**2 + q + k*j + g*j**4 + i*j**3 and give g.\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, s: 4, h: 2, t: 2}. What is prob of picking 1 s and 1 i?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 137415 or 137429?\nAnswer: 137429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1070)\/(-50) - 4\/10. Is 7\/(p\/18) + 1 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 {o: 1, a: 2, v: 1, m: 1}. Give prob of sequence vm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 o, and 1 x when three letters picked without replacement from {o: 2, u: 2, k: 2, x: 2, z: 3, y: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 9*t - 10. Let o be v(-10). What is the units digit of (o - 0) + 3 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.048 - -985.952. Let h = m + -1034.7. Let j = h + 49. What is the closest to -0.1 in 3, j, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {c: 2, k: 8, p: 1, g: 3, i: 1, e: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(15) - 1*(sqrt(15) + sqrt(135))))\/((sqrt(5) - (sqrt(5) - 5*sqrt(60)\/sqrt(12)))*6).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(75) + 1*sqrt(75) + 1 + sqrt(75) + (sqrt(75) + (sqrt(75) - (-1 + sqrt(75)))*-5 + sqrt(75) + sqrt(75) - sqrt(75)))**2*6.\nAnswer: -600*sqrt(3) + 11274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.677 - 0.67699162. Round h to 7 decimal places.\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -35*k + 274. Let p(z) = 71*z - 547. Let m(w) = 5*b(w) + 2*p(w). Does 25 divide m(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4095191 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21734877 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4302556 weeks in microseconds?\nAnswer: 260218586880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/14)\/((-2)\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 9:47 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*g - 2*t, -2*g + 3*g + 4*t + 22 = 0. Let q be (3\/g)\/(2\/(-4)). Solve q = 4*s + 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1100) - (-2 + sqrt(1100))) + 0 + sqrt(1100)*2 + 5*sqrt(1100)*2 + -3 + -2*sqrt(1100))**2.\nAnswer: 1800*sqrt(11) + 110081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 3*p + 2088*h - 2086*h, -2*h + 2 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2)*((-234)\/14 + 784\/(-343))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001729 rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/7 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686 + 270*p**3 + 680 - 736*p**3.\nAnswer: -466*p**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2411, -9642, -21671, -38480, -60051, -86366?\nAnswer: -117407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 and 99\/44774.\nAnswer: 44774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 30 = -o, 2*f - 34 = -2*o - o. Calculate the remainder when 68 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1857, 181, -2619, -6549, -11615, -17823, -25179, -33689?\nAnswer: -43359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304956.\nAnswer: 2, 3, 43, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236703255 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: What is 612 minutes before 3:50 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000500643 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172569 is divided by 3922.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 4)*1 - -2. Let t be 16*((-6)\/4 - p). Suppose t*v - 5*r - 101 = 5*v, 5*v + 3*r - 157 = 0. What is the highest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (-4)\/2*(0 + 58*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 - (-5 + 11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 205\/4 + -52. Let j = 42 + -36. Which is the nearest to 0? (a) m (b) j (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u = 0. Solve u*x + 3*x + 2*r = 21, -5*x - 4*r + 37 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3061 rounded to 2 decimal places?\nAnswer: -5.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-6)*d*d))**(-15)*d**(2\/33)*(d\/(d*d**(2\/73)))\/d assuming d is positive.\nAnswer: d**(-183004\/2409)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 - 4\/15. Let v = -5157.7 + 5158. Let g = 0.19 - 0.09. What is the nearest to v in -1, p, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 119349*r**3*w**2 + 7*r**2 - 6*r + 158*w**2 + 13042*w - 3 wrt r?\nAnswer: 358047*r**2*w**2 + 14*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171380 divided by 836.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 4*i**2 + 6*i + 5. Let q be m(-5). Suppose q = 4*b + 3*a + 165, -2*a = -5*b + a - 240. Let l = -18 - b. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 37*l + 842. Give f(-21).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16926 and 127348?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s**3 - 2*s**2 - 182*s + 9. What is w(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**7\/42 + 5*k**3\/6 - 9*k**2. What is the first derivative of d(p) wrt p?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*f**2 - 795*f + 795*f - 4*f**3 wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30245 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5 = -1. Let r be 40\/6 - (o - -1)\/(-9). Find the second derivative of 21*w - 2*w**5 + r*w**5 - 24*w wrt w.\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bab when three letters picked without replacement from {b: 2, a: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (21 - (6 + 11) - (0 - -22))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t - 6. Suppose 0 = -g + 2*g. Suppose g*h + 2*h = -16. Is r(h) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389.5 rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 396*j - 556*j + 1600. Solve j*d - 19 = -39 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1762333 and 151?\nAnswer: 1762182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5 = v, 0*v - 2*v = -2. Determine k so that k**2 + 0*k**2 - k**3 + 0*k**2 - 2*k + a*k**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - g + 1. Let m(c) = -c**3 - 4*c**2 + 6*c + 3. Let o be m(-5). Let z(r) = -2*r + 3. Give o*z(d) + 4*h(d).\nAnswer: -4*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 = -8*w + 5*w - 2*f, 3*w = -f + 469. Calculate the remainder when w is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/35 - (1222\/6)\/(5480\/24). Are -1 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) + (-142)\/(-5). Let w = 638\/63 - 130\/7. Find the common denominator of (b\/8)\/(5\/4) and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.315332 and 4.\nAnswer: -9.261328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/4))\/i)**46\/((i*i\/((i*i\/i**(-1))\/i)*i)\/(i*i\/((i\/i**(-7)*i)\/i)))*(i\/i**(-6\/5)*i\/i**(-4))\/(i\/i**(1\/8)*(i\/(i*i**4))\/i) assuming i is positive.\nAnswer: i**(-287\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/39)*q**25)\/(q*q*q**2*q*q*q)**(1\/3))**(-1\/17) assuming q is positive.\nAnswer: q**(-294\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.064 + -0.474. Let m = -0.01 - u. Let g = m + 2.6. What is the closest to 1 in -2\/3, -2, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, u: 5, z: 2}. What is prob of sequence uzz?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25493 - 25494. Which is the smallest value? (a) -1\/10 (b) 0.07 (c) -0.6 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*o + 2*o - 2*o)*(0*o + 3*o - o) - 166 - 21*o**2 + 166)*(0 + 2 - 6)*(o + 6*o - 3*o) as s*o + z*o**3 + r*o**2 + j and give z.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 179 and 646727.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-280)\/7*(-180)\/150. Solve -5*v - 68 = -k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.37273 plus 8.0266?\nAnswer: -10.34613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4151662 to two decimal places.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*a**3*m**2*o - 255*a**3*o - a**2*o - a**2 - a*m - a*o + 5*m**2*o wrt a?\nAnswer: 222*m**2*o - 1530*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3, 0, -68 in descending order.\nAnswer: 0, -3, -21, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.46775 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + -40. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 2)\/(1\/12*-3). What is the units digit of (-236)\/((-44)\/o + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**4 + n**4 + 4*n**4 + (-3*n**2 + 3*n**2 + 2*n**2)*(-n**2 - n**2 + 3*n**2) + (-3*n**2 + 0*n**2 + 0*n**2)*(-4*n**2 - 7*n - 2*n + 6*n).\nAnswer: 16*n**4 + 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 880251972 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4999978 + 0.5. Round a to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5004874*c**3*z**3 - 3*c**2*z**3 + 133*c - 1372*z**3 wrt c?\nAnswer: -30029244*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17697*u + 137744 = 17701*u. List the prime factors of u.\nAnswer: 2, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqpp when four letters picked without replacement from hphq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n - 4. List the prime factors of s(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2454247477.\nAnswer: 11, 20283037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - 71*v - 601. Determine i(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 222057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 4*f**2 + 6*f - 1. Suppose 10 = -c + 3*c. Let n = 12 - -2. What is the least common multiple of n and u(c)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79 or -722\/9?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (5 - 7)) + (1 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -145974\/7 or -20853?\nAnswer: -20853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2322 is divided by 49.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5*a + 5100. Round a to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2675752 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4*h + 24 = 0, -23*h = -23851*u + 23855*u + 100 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (200\/(-60))\/((-6)\/(-9)). Suppose -7*f + 12*f = -20. Which is the nearest to 0.2? (a) g (b) 4\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12137981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 12*a**2 + 1. Let g(w) = -21*w**2 + 18487 - 18487. What is u(g(o))?\nAnswer: 5292*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 205*g = -210*g + 27, 0 = -5*g + 25 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1215 + -1209 + -39 + 1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 6. Let s be o(-3). Sort 0, -3, s, -2.\nAnswer: s, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26349.41 + 1331\nAnswer: 27680.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4\/3, -3\/2, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**3 + 726*o**2 - 46020*o + 250632 = 0. Calculate o.\nAnswer: 6, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/15 + 112*y**3\/15 + 11186*y**2\/5 - 197676*y\/5 = 0. What is y?\nAnswer: -114, 0, 17, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.06 - 2. Let n = k - 0.16. Let x = -2\/73 - -81\/292. Which is the nearest to n? (a) x (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4\/10 - 11*q**3\/10 - 11*q**2\/5 + 208*q\/5 - 192\/5 = 0.\nAnswer: -6, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0*u**7 + 0*u + 0*u**4 + 1\/42*u**8 - 5 + 4*u**2 + 0*u**6 + 0*u**3 + 13\/12*u**5. What is the third derivative of t(l) wrt l?\nAnswer: 480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 3*r**2 - 4*r**2)*(2*r + 2*r - 3*r) - r**3 - 5*r**3 + 0*r**3 - r**3 + 0*r**3 + 38*r - 2 - 36*r.\nAnswer: -5*r**3 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 425557533*l**6 - 656741606*l**2 wrt l?\nAnswer: 51066903960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 2*n**2 + n**2)*(-5*n**3 + n**3 + 2*n**3) + (-3*n + 0*n + 2*n)*(2*n**4 + 0*n**4 - 3*n**4) + 0*n**5 + 2*n**5 - n**5 - 3*n**5 + 0*n**5 + n**5.\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820087770?\nAnswer: 2, 3, 5, 23, 233, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 24*a**2 + 12591*a - 17267. Calculate i(-526).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-171) - (-32)\/42*1287\/(-2508)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 10*q - 2 = -5*p, 2*p - 7 = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*m - 156*m - 5635 = 61*m. What is the second biggest value in m, 3\/4, -2\/7, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (0 - (-3 + 7)). Let s(g) = -2*g**3 - 13*g**2 - 10*g + 5. Let n be s(o). Differentiate -37*f**4 + 30 - 8 - n*f**4 + 53*f**4 with respect to f.\nAnswer: -52*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (69\/2)\/(3\/(-4)). Let p = a - -111. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**4*u - 60347*b**3*u - 2*b**2*u - 15*b*u - 156*b + 4 wrt b.\nAnswer: -24*b*u - 362082*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/4 - 1515*l\/4.\nAnswer: -3*l*(l + 505)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -663*a - 359 wrt a?\nAnswer: -663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 796*z**6 - z**3 + 150*z**2 + 2*z.\nAnswer: 95520*z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huuh when four letters picked without replacement from {h: 15, u: 4}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83486333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 1:15 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r - 2*j, -2*j + 15 = -5*r - 25. Are r and -26\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 5*f + 1. Let m(k) = k - 3. Let l be m(8). Calculate the remainder when i(l) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7387934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 5204.\nAnswer: 52040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -422 and -1.\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4134928 divided by 8.\nAnswer: -516866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**4 + 2*i**2 + 3*i**4 + 5*i - 3*i**2 - 45*i**3 + 1 + 47*i**3 in the form s*i**3 + z*i + o*i**2 + u + h*i**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3370835, -6741668, -10112503, -13483340, -16854179?\nAnswer: -20225020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239, 295, 377, 473, 571, 659, 725, 757?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4064 and 14792672.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3 + 846*n**2 + 3360*n + 3352 = 0. What is n?\nAnswer: -419, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 2*w**2 + 4*w + 11. What are the prime factors of l(6)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 396 = 2*h - 1215, -2414 = -3*h + n. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.122 - -0.992. Let i = -1491295 - -1491295.869963. Let a = h - i. Round a to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111010 + 1?\nAnswer: 1000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -65618 (base 16) in base 6?\nAnswer: -12522252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 14*m**2 + 34*m + 61. Determine o(-15).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6484 (base 10) to base 13\nAnswer: -2c4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13889 and 4.\nAnswer: 55556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 + -918. Let v = k + 502. Let t = v + 298.867. What is t rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.546 - -0.054. Let t = q + -9.5. Which is the closest to t? (a) -1\/7 (b) -0.3 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-28 - (-17 - -23)) + -30.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 2:02 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 divided by 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 137773130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*q - 82*q = 60. Let b be q*4\/(-12) + (-4)\/(-2). Is b at least 7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 5 (b) -48 (c) -0.16 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184857 is divided by 394942?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p**2 + 11*p - 258 with respect to p.\nAnswer: -8*p + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6755)\/43232)\/(10\/12).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 14*l**2 + 38*l - 7. Is z(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321279771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6366, -4571, 5388, 23511?\n\"Answer: 4082*q**2 - 10451*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*i**3 + 495*i**3 + 32*i**3 - 418*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2964 and 111378?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57736*c**3 - 223*c - 8 wrt c?\nAnswer: 346416*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -645307328+-175762\nAnswer: -645483090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 796, 1803, 3216, 5035?\nAnswer: 7260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (6\/2 + -858). Let r = q + -429. Suppose -645 - r = -6*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/(1*sqrt(3)))**2 - sqrt(13))*4 + 4.\nAnswer: -4*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1609 + 322\/(-138)*(-1)\/7*-9 is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/20)\/((-186)\/2232)*2.\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21475 by -22.\nAnswer: 21475\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {d: 1, y: 19}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -182*j**6 - 57*j**3 + j**2\/2 - 3674. Find the third derivative of r(w) wrt w.\nAnswer: -65520*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10\/11)*(h\/(h\/h**(-2\/17)))\/h)\/(((h\/(h\/(h\/(h*(h**(-1\/4)\/h)\/h*h))))\/h)\/h)**22 assuming h is positive.\nAnswer: h**(5413\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 72335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -308 - -140.4. Let q = 185 + s. Let c = q - 17.39999839. Round c to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*j = 0, 0 = -5*z - j - 12 + 4. Let v(q) = -q**2 - q + 5. Let w be v(z). Suppose 0 = -w*f - 9*f + 528. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 8\/139?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0.01, 4\/11, 0.07, 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3498 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 2380?\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (27 + -22 - -18)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -5. Let r = 1 - 0.7. Which is the third biggest value? (a) z (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16715 by -3343.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -27 times 6\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.145 - 1.855. What is the closest to u in 2\/7, -1, 1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23555, 23532, 23487, 23414, 23307, 23160, 22967?\nAnswer: 22722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 18*l**2 + 27*l + 264. Is s(-10) a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lede. Give prob of sequence ee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - -78 - 7) + 3.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 3)*(-3 + 3 - 1) + 1 - 1 - 2)*(-3 + 2*j + 4 - 6*j).\nAnswer: 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:43 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45 - -42) + -1 + 9. Suppose 0 = -q*t - 2*o + 3569, -3740 + 179 = -5*t + 2*o. What are the prime factors of t?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 463 + 5ab5c?\nAnswer: 5b2c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*-2*3*(-205541)\/126 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 132, 538, 1214, 2160, 3376, 4862?\n\"Answer: 135*m**2 + m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Suppose 3*o = -4*z + 4*o - 247, b = -4*z - 3*o - 251. Let g = z - -92. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 + 14*t - 6. Let f(x) = -4*x**2 + 15*x - 6. Let w(o) = -6*a(o) + 5*f(o). What are the prime factors of w(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 65*o**2 + 152*o - 23. Let y(b) = 67*b**2 + 203*b - 24. What is -4*q(u) + 3*y(u)?\nAnswer: -59*u**2 + u + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-99)*9)\/(4*(-11)\/22).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 1 - (60 - (19 - -45))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68563656 divided by -609.\nAnswer: -112584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 0*g**3 + g**2 + 0 + 0*g**5 + 0*g**6 + 0*g**7 - 1\/12*g**4 + 1\/336*g**8 + 0*g. What is the second derivative of j(w) wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(14)\/((sqrt(70)*1)\/sqrt(10)).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 2*t - 4. Let w(x) = -x + 2. What is 2*o(u) + 5*w(u)?\nAnswer: 2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4754, -2, -4\/9, 0, -4\/7, -0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132 - 123.1. Let k = w - -1.1. Put -3, k, 3\/5 in decreasing order.\nAnswer: k, 3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - (-5 - -11) - ((-5 - (1 + -1)) + 5).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2214 and -73\/99?\nAnswer: 24354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - -16. Suppose h + 2 - 18 = 4*r, -4*h + r = -d. What is the third derivative of -10*w + 10*w + h*w**4 + 12*w**2 + 3*w**2 wrt w?\nAnswer: 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/4 + 37*w**3\/4 + 203*w**2\/4 + 291*w\/4 + 63\/2.\nAnswer: -(w - 42)*(w + 1)**2*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 849766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 7*q**2 - 10*q + 13. Is s(9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49518 * -2\nAnswer: -99036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 4*d**2 - 18*d - 19. What is the lowest common multiple of 11 and p(-6)?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + -1 - (17 - 16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140784.3ml to litres.\nAnswer: 140.7843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 + -86. Let i(j) = 12*j - 10 - 2*j - 5*j - k*j. Let z(m) = -1. What is 2*i(u) - 20*z(u)?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 229172, 916421, 2061750, 3665159, 5726648, 8246217, 11223866?\n\"Answer: 229040*r**2 + 129*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 3:51 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkkkvkk. Give prob of picking 1 v and 2 k.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/3 + 26*r**4\/3 - 22*r**3\/3 - 76*r**2\/3 + 23*r\/3 + 50\/3 = 0.\nAnswer: -1, 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48514 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 649641351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1070 divide 323871013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11\/(-2*2\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18157196 is divided by 6052393?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-105)\/175 + (-426)\/(-10)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(1 - 1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*u + 28 + 2 = 0, -2*g - 5 = 3*u. What is the second derivative of 111*i - i**5 - g*i**2 - 21*i + 3*i**5 wrt i?\nAnswer: 40*i**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6120, 6116, 6100, 6066, 6008, 5920?\n\"Answer: -a**3 + 3*a + 6118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/2))**(9\/4)*(j*j*j**(-2\/3)*j)\/(j**(-2\/13)\/j*j) assuming j is positive.\nAnswer: j**(1829\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18050 and 27436.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by -48\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -3\/8*l**4 + 0*l + 0*l**2 - 2 + l**3 - 3\/10*l**5. Factor r(v).\nAnswer: -3*v**2*(v - 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from khkkkkkkkkkkkkkkukk.\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**6\/60 - a**5\/15 - a**4\/12 + 2*a**3\/3 + 3. Let w(j) be the third derivative of o(j). Find z such that w(z) = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/137203 and -56\/62365.\nAnswer: 686015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.9 and 278.\nAnswer: 287.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 3*w**5 + (6*w**2 + 7*w**2 + 6*w**2)*(w**2 - 2*w**3 - w**2) - 10*w**5 - 9*w**5 - 2*w**5.\nAnswer: -56*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576 and 1288128?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 10698.15 litres?\nAnswer: 10698150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**3 - 4*i**2 + 5*i + 2. Let d(h) = -5*h**3 + 4*h**2 - 4*h - 2. Calculate 5*d(j) + 4*x(j).\nAnswer: -j**3 + 4*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 477 + -527. Sort j, -2\/7, 2, -0.1 in increasing order.\nAnswer: j, -2\/7, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -2*s**6\/27 - 8*s**5\/45 + s**4\/3 + 16*s**3\/27 - 8*s**2\/9 - 11. Factor n(r).\nAnswer: -4*r*(r - 1)**2*(r + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 451173\/884 - 6624\/13. Calculate the common denominator of -67\/404 and k.\nAnswer: 6868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.3 (c) 806 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 5481*j**5\/20 + j**3\/3 + 7*j**2\/2 + 7*j. Let x be t(3). Round x to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -0*x - 120. Differentiate -10619*b - x*b**3 + 10619*b - 1 + 4*b**2 + 24 wrt b.\nAnswer: -30*b**2 + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327816 != 2294722\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(2\/91)*((g*g\/(g*g**(-3)\/g*g))\/g)\/(g*g**(-2)))\/(g*g**(-5)*g*g\/((g**(-2)*g)\/g))**(-49) assuming g is positive.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 55907676 to the power of 1\/3, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*b + 292 = 0, j + 4*b - 22 = 37. What is the remainder when 1049 is divided by j?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 77.64798 months?\nAnswer: 0.006470665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from afwahrf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + h**2 + 2*h**3 - 3*h**2 - 4638*h**4 + 4658*h**4 - h + 0*h**2 as y*h + o*h**4 + k + q*h**2 + i*h**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -10*i + 11*i. Suppose 0 = -3*f - 3*o, -4*f - o = -0*o - i. Solve 0 = 5*a - 15, 4*t - 3 - f = -4*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beeb when four letters picked without replacement from {e: 4, v: 2, j: 1, u: 3, b: 9}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2, 0.1, -0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8053 + -7986. Which is the nearest to -2? (a) t (b) 2 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 49 + 73)*(55 - 55 - 2*i + (4*i - 6*i + 4*i)*(3 + 2 - 2)).\nAnswer: 328*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.96164 to one decimal place.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 136752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9 - 4 + y**3 + 1 - 5*y**2 + 2*y. What is the lowest common multiple of k(6) and 42?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s. Let v(m) be the first derivative of m**5\/20 - 14*m**2 - 23. Let n(x) be the second derivative of v(x). Give n(r(q)).\nAnswer: 192*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 26*j + 3036.\nAnswer: -2*(j - 33)*(j + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -3 (c) 2140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176951.624 rounded to the nearest one thousand?\nAnswer: 177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**2 - 2*o + 4. Calculate g(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -0.06, 0.1 in ascending order.\nAnswer: -0.06, 0.01, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 150*u**2 + 350*u - 26335. Determine w(75).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z + 3*w + 454, -5*w + 10 = 0. Let x be 3*((-2)\/12)\/((-2)\/z). Find the third derivative of -19*a**2 + 9*a**2 + 52*a**4 - 36*a**4 - x*a**2 wrt a.\nAnswer: 384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x**3 - x**2 - 3*x + 32. Let i(h) = -32*h**3 + 3*h**2 + 7*h - 62. Calculate 5*g(q) + 2*i(q).\nAnswer: -4*q**3 + q**2 - q + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/117 and -41\/655830.\nAnswer: 8525790","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -17\/5200?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 210*f**2 + 47946*f - 5388554.\nAnswer: -2*(f - 131)**2*(f + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/14972 and 7\/8981624.\nAnswer: 170650856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60694 is divided by 15171?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*n + 5*f, 5*f = 5*n + 10 - 35. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 11:20 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -123123.9 and -1341.\nAnswer: -124464.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10208 (base 9) to base 6.\nAnswer: -51055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 496 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3754240 and 4290560?\nAnswer: 30033920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 84*a**5\/5 - 19*a**2\/2 + 3*a + 70. Find the second derivative of f(v) wrt v.\nAnswer: 1008*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23474*p - 488833 + 255099 - 929131 = 1090639 for p.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/414084 and -139\/18822.\nAnswer: 414084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18506 divided by 20?\nAnswer: 9253\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21222 and 1673001?\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18399 divided by -6032.\nAnswer: 18399\/6032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22020200211 + 3?\nAnswer: 22020200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 258*x - 877 - 1445 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2543673 (base 10) in base 14?\nAnswer: -4a2dcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -115102?\nAnswer: 115101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.061 + 11.\nAnswer: 10.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -26*l**5 - l**4\/2 - 12*l**3 + 424. What is the third derivative of s(n) wrt n?\nAnswer: -3120*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from dqmqdkqqkqmqmmqmkdk.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)*f)**(2\/53) assuming f is positive.\nAnswer: f**(-12\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 1 + 4, -3*o + 31 = 4*n. Is 24 a factor of 782\/n - (-3)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/5))**(-2\/107) assuming p is positive.\nAnswer: p**(2\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*s + 24*s + s**2 + 18*s + s**2 in the form d*s**2 + j*s + t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.174 + -2.374. Which is the biggest value? (a) v (b) -15 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616*q + 200*q - 908*q.\nAnswer: -1324*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18 times 253830\nAnswer: -4568940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 911360 and 2670.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1570 + 1641?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -1\/32*l**4 + 1\/16*l**3 - 6*l - 1\/16*l**2 + 0 + 1\/160*l**5. Factor w(m).\nAnswer: (m - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otqvbqvbqibq. Give prob of sequence ibtv.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6397 + 6397 + 223*h**4 + (4*h**3 - h**3 - 5*h**3)*(0 + 0 + 2*h) + 447*h - 447*h + 45*h**4 to s*h**4 + f*h + u + l*h**3 + k*h**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 2*w - 9, 88*j - 2 = 86*j for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(20\/(70\/(-14)))*(-4)\/(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1109, -2554, -4963, -8336, -12673?\n\"Answer: -482*v**2 + v - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73501, 73326, 73141, 72940, 72717, 72466?\nAnswer: 72181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212341124 - 0?\nAnswer: -212341124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*k**2 + 9 + 38*k**2 - 18*k**2 in the form g*k + p + f*k**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2316392946 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4408, -17492, -39244, -69664, -108752?\n\"Answer: -4334*v**2 - 82*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 12) + -2 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*h + 696 - 696.\nAnswer: -50*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -36.1\nAnswer: 541.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 4*d - 12 = 0. Let v(u) be the third derivative of 0*u**d + 0*u + 0*u**4 - 1\/630*u**7 - 1\/120*u**6 + 0 - 1\/90*u**5 - 2*u**2. Factor v(f).\nAnswer: -f**2*(f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3 = -3. Let t = 5.246 + 0.054. Let v = t - 0.3. Which is the second smallest value? (a) -1 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 369519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 66\/33*57\/76*-6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2159*r**3*y + 2411*r**3 wrt y?\nAnswer: 2159*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651386679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16, 15, 46, 77?\n\"Answer: 31*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Suppose -15 = -3*m + 3*r, -y*m - 6*r + 11*r = -19. Let k = 2 + -2. Solve -5*w + g = 23, m*w + k*w = 5*g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 240\/480*3*6\/(-27)*30. Let p(a) = -2*a**2 - 21*a. What is p(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2. Let y(n) = n**3 + 13*n**2 + 31*n + 25. Let b be y(-10). Let l(v) = -29*v**2 + b*v**2 + 62*v**2. Calculate l(r(i)).\nAnswer: 192*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 23 = -3*p - 3*r, 4*p + 5*r = -34. Let v(q) = 2*q**2 + 2*q + 12. Is v(p) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**3 + 19*c**2 - c + 26. Let v(x) = 2*x**3 - x**2 - 2. Let t(n) = q(n) + 2*v(n). Determine t(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*u - 93 = -205*u. Let i = u + 333. What are the prime factors of i?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-4)\/1) + 1. Suppose -g*b + 0*b + 18 = 0. Calculate the remainder when 180\/8 + 6\/(-4) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 7*k - 4. Let j be d(-5). Let v(i) = -2*i + 1. Determine v(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -501292176 divided by 33?\nAnswer: -15190672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g**2 - 14 - 34*g**3 + 10*g**2 - 31*g + 33*g**3. Let x be u(16). Let y be (x - 5\/((-45)\/(-19)))\/1. What is the second biggest value in y, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + -1 + (-110 - -114).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*l**3 + 24*l**3 + 64*l**3)*(-3 + 3 - 3*l) in the form u*l**3 + h*l**2 + w*l + b*l**4 + z and give b.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2005 - 806. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 374*k**2 - k. Let o(r) = 12*r - 27*r + 8*r + 9*r. Calculate o(b(x)).\nAnswer: 748*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*s**3 + 7324*s**2 + 4888*s = 0. What is s?\nAnswer: -2\/3, 0, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 170 = -3*s. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 2, n: 2}. What is prob of sequence mf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17*(3 + -1 + 1). Let w = i + -31. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64 or 138?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = 12*c + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = -5*v + 17, x = 4*v. Let y(h) = h**2 - h + 2. Let b be y(v). Is 17 a factor of (b - 2) + -2 + 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 879 divided by 293.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = l + 35. Put l, -5, -2, 3 in increasing order.\nAnswer: -5, -2, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**2 - 215889*b - 647694 = 0.\nAnswer: -3, 71966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 17*n**2 - 16*n + 77. Suppose 0 = 34*a - 52*a + 126. What are the prime factors of f(a)?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -129534 and 33663.\nAnswer: -95871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**7\/35 + g**6\/40 + 3*g**5\/5 + 9*g**4\/8 + 1379*g**2. Factor w(s).\nAnswer: -3*s*(s - 3)*(s + 1)*(2*s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 46869*s**2 + 181430904*s - 12742861212.\nAnswer: 3*(s - 69)*(s + 7846)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 + 2.31. Let p = s - 2.09999982. What is p rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 246*g**2 + 1047*g + 1290.\nAnswer: -3*(g - 5)*(g + 1)*(g + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 - -144) + 7 - 137.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2362 from 0.4.\nAnswer: 2362.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 o when three letters picked without replacement from orrroro?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11495 + 9134. List the prime factors of g.\nAnswer: 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78384676.\nAnswer: 2, 19596169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.108 - -0.24. Let f = -92 + 107.268. Let h = f + k. Round h to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447443657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-20 - -6) - 9) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -783 and 2608?\nAnswer: 3391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**8\/480 - 5*a**4\/8 + 5*a**2. Let x(v) be the second derivative of r(v). What is x(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/((-10)\/40). What is the second derivative of -5 - v**2 + 0*v**m + 5 + 6*v wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/29, 383, 2\/39 in decreasing order.\nAnswer: 383, 4\/29, 2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 379, 785, 1191, 1597?\n\"Answer: 406*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5, -2*z + 5*z + 4*g - 8 = 0. Suppose -m + z = 1. Is 19 a factor of (-19)\/m*-3*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -5*n**2 + 33702275*n + 33702280 = 0?\nAnswer: -1, 6740456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/((d*d**(2\/33))\/d))\/d))\/((d*d*d**3)\/d))**(1\/8)*(d*d\/((d**0*d)\/d*d))**(-27)\/((d\/(d\/d**(-2\/3)))\/d)**(32\/7) assuming d is positive.\nAnswer: d**(-12165\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1043 + -1.\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 + 9*t + 13. Let q be m(-7). Suppose -q = -4*z - 3*g + 131, -3*g = z - 67. Which is bigger: 69 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -1041, 14, 5 in decreasing order.\nAnswer: 14, 5, -1041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1475 - -1475.027. Which is the fourth biggest value? (a) t (b) -0.3 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -799, 1, 6, 5, 0 in descending order.\nAnswer: 6, 5, 1, 0, -799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 104507.5 and 0.1.\nAnswer: 10450.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137\/51 - 6\/17. Suppose 25 = -5*c, 0 = -3*v - 4*c + 5*c + 11. Put q, 3, v in decreasing order.\nAnswer: 3, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 15*b + 149. What is k(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vvvvvvbv?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 bigger than -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2104862.\nAnswer: 2, 1052431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 1\/5*i**5 + 7*i + 1\/12*i**4 + 0 + 0*i**2 + 0*i**3. Let n be c(1). Put -3, 0, n in decreasing order.\nAnswer: n, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 smaller than -23643668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j + 3. Let h(n) = -n - 3. Let s be h(0). Give b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/(10\/(-75)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.6415, -4, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223\/6 + -73\/2. Put m, -380, -1\/6 in increasing order.\nAnswer: -380, -1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3778727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1929.008 to the nearest ten.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 8789, -4, 5 in decreasing order.\nAnswer: 8789, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 12, q: 6}. Give prob of picking 1 s and 3 q.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -60*j**3 + j**2 + j + 1. What is the remainder when q(-1) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5093.2 (b) -0.1 (c) 0.5 (d) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72216 and 112?\nAnswer: 1011024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 - 11 + 11)*(7*a - 2*a - 2*a + (-a + 0 + 0)*(-3 - 1 + 6)) in the form l*a + n and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1521313 - -2?\nAnswer: -1521311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + b**3 + 2)*(-b**2 - b**2 + 5*b**2 + (-59 - 27*b + 59)*(3*b - 2*b + 0*b) - 2*b + 2*b - 2*b**2 - 5*b**2 + 4*b**2 + 0*b**2).\nAnswer: -27*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8442869 is divided by 61?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 15*u**8\/112 + 67*u**7\/14 + 787*u**6\/24 - 1219*u**5\/4 + 855*u**4 - 3610*u**3\/3 + 491*u**2. Determine g, given that z(g) = 0.\nAnswer: -38\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7271238292?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y*y**(-6))\/y)*y)\/(y*y**(2\/3))*(y**(-1)*y)**(14\/9) assuming y is positive.\nAnswer: y**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3 - 77. Let z = i + -13. Suppose -1 = -z*o + 2. Is 2\/15 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 13*q + 16. Calculate the remainder when c(28) is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k - 8 = 0. Suppose 0 = -a - k*a + 5. Do a and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.3 - -8. What is the third smallest value in -2\/9, -11, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89828.9ml to litres.\nAnswer: 89.8289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5364 - -5367. Solve -m + 7 = -b*j, -15*m = 5*j - 10*m - 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -5*h - 0*m - 35, -3*h = 5*m - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 7*n + 7. Let v be p(1). Suppose 4*g = v*g + 722. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27 (b) 5 (c) -0.3 (d) 0.04 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*8\/(-6))\/(1\/((-22)\/(-132)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13498*w + 13502*w - 27002*w + 3*i - 49, 7*w + 0*i + 152 = 4*i for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4297 = -6*x + 425. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 4*m**2 - 3*m**2 + 5*m**2 - 9*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 10:40 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 180480, 180481, 180482, 180483?\n\"Answer: x + 180479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 + 2*k + 1. Suppose -i - 2 = -1. Let r be a(i). Let g be 0*(-5 + 10 - 6). Solve -5*w - r*m + 2*m + 5 = g, -3*w = -m - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(2 + sqrt(363)*-1)**2 + 4*(sqrt(363) - ((sqrt(363) - (-1 + sqrt(363))) + sqrt(363) + 0) - sqrt(363))**2.\nAnswer: 2193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 54, 100, 138, 168?\n\"Answer: -4*n**2 + 58*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-5) - 2)\/((-234)\/20)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -6) + (101 - 76)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 10*z**4 - 11*z**4 + 5*z**2 + 2*z - 2*z**2 + 0*z to the form w*z**2 + b*z + p*z**4 + i*z**3 + t and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87429?\nAnswer: 3, 151, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 7*r + 1. Let c be f(8). Suppose 0 = -d - 2*u + 28, -d - 3*u - c + 35 = 0. What is the highest common factor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**8\/1120 + h**6\/360 + h**5\/120 - h**4\/8 + 5*h**2. Let t(d) be the second derivative of w(d). Calculate t(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 8*t + 9. Let g be h(9). Let z be (g - -6)*2\/6. Suppose 4*a = -0*s + z*s + 20, 0 = -a - 2*s. Solve -f + a = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 531373 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0223784 to 4 dps.\nAnswer: -0.0224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3489 = -280*j - 4283 - 2308 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 179*w - 228*w + 892*w + 0 + 0 - 2*w + (-2*w + 5*w - 4*w)*(-2 - 1 + 5).\nAnswer: 839*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 72060355?\nAnswer: 72060357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l + 1. Let n(i) = -3*i**2 - 22*i + 26 + 7*i**2 + 6*i**2 - 15*i**2. Let z(t) = -d(t) + n(t). Let y be z(-10). Round y to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3876 divided by 114?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 898 + 2*p**5 + 22*p**2 - 9*p**4 - 898 + 2*p wrt p.\nAnswer: 120*p**2 - 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24824017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/8 - 33*f**2\/8 - 3*f\/8 + 33\/8.\nAnswer: 3*(f - 11)*(f - 1)*(f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**5\/20 - 7*d**4\/12 - 7*d**3\/6 - d**2\/2 + 2*d. What is b(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((7 - 5) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**4\/12 + m**3\/3 - m**2\/2 - 25*m. Let a(g) be the first derivative of k(g). Determine a(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. What is the derivative of 1 + 2*j**2 - 4*j**2 + w + 0*j**2 wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 + -263.\nAnswer: -262.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -221 at least -221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 233 - 235. Which is the nearest to l? (a) 1\/6 (b) -2\/7 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 9*t**4\/4 - 2*t**3 + 4*t**2 - t + 35. Let z be c(2). Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*u = 150 + 52 - 82. Let v = 9 - 6. Sort -2\/15, u, v, 0.2 in decreasing order.\nAnswer: v, u, 0.2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 16. Calculate the remainder when t(-5) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -33. Find the third derivative of -47*m**p + 5 - 200*m**2 + 203*m**2 - m**3 wrt m.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:34 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3952860 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4756 divided by 22087.\nAnswer: -4756\/22087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y + g = -1917, -2*g + 477 = -y. Is y\/3*(-2 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**6\/30 + 103*c**5\/15 - 1400*c**4\/3 + 5000*c**3 - 759*c**2 + c + 2. What is i in q(i) = 0?\nAnswer: 3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zylzfyzyzlyyfzzzfzz. Give prob of sequence yyf.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**3*l**2*o - 2*i**3*l + 160*i**3 - 3*i**2*l**2 - 522*i*l**2*o + 2 wrt o.\nAnswer: -i**3*l**2 - 522*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 17*s. Let h(g) = 3*g + 201810. Calculate h(o(c)).\nAnswer: 51*c + 201810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 + -0.15. Let q = -1.2 - -1.1. Let t = q - -5.1. Which is smaller: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 2*f**2 + 2*f - 4. Let p be t(4). Is (-21)\/p - 1282\/(-8) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -244 - 2?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5*h + 12 = -0*h, i - 2*h - 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4215 is divided by 192?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -285*k - 680. Give q(-3).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -7 + -1 + 6 - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1700)*-3*5.\nAnswer: 750*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 33.58. Let h = y - -0.41999966. Round h to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 723, 1645, 2935?\nAnswer: 4593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 55 - 5 = 0. Calculate the lowest common multiple of s and 14.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of -8 + (-378)\/(-48) - ((-1294935)\/24)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14770*v + 14751*v. Solve v = 20*b + 138 - 118 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 8) to base 5\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 24 = -4*p. Put -5, 1, p, -13 in descending order.\nAnswer: 1, p, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*l + 327231 = 160558 + 156381 for l.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w + 5. What are the prime factors of i(6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + -14 + 8 + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4453 + 4452.29984. Let l = -13 + 12.3. Let w = l - p. What is w rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:05 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9399924 divided by -6\nAnswer: 1566654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 9:39 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 40*k + 1484. Let i be h(-37). Let t(s) be the third derivative of 1\/480*s**5 - 1\/96*s**4 - i*s**2 + 0 + 1\/48*s**3 + 0*s. Factor t(f).\nAnswer: (f - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(3\/34)*(u**(-1\/2))**(-1\/59) assuming u is positive.\nAnswer: u**(97\/1003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -185 + 594. Suppose 0 = -4*z + 5*z - r. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663.5043 tonnes to grams.\nAnswer: 663504300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*c**3*h**2*t**3 - 2*c**3*h*t + 23*c**3*t**2 - 262*c**2*h**2*t**3 + c**2*h - 6*c*h*t**3 - 2*c wrt h.\nAnswer: 14*c**3*t**3 - 524*c**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4969\/5 + 994. What is the nearest to 0 in f, -1, 2, 2\/125?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 + -161.6. What is r rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32053 (base 6) in base 8?\nAnswer: -10401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -57, -250, -581, -1050, -1657, -2402, -3285?\n\"Answer: -69*w**2 + 14*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86689\/2 - -43345. Solve -a*w**2 - 1\/2 + w = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*(-6)\/30 - (-687)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 480.9.\nAnswer: -477.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -317648 or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6143, 12451, 19097, 26249, 34075, 42743, 52421, 63277?\nAnswer: 75479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from {u: 1, s: 6, w: 1, e: 2, f: 4, x: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*m + 123*m = 9177 - 29997 for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.95 - 0.05. Let x = -4.4 + 1.4. Let l = x - o. Is l != 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o. Let f(c) = -c**2 + 10*c - 4. Let w be f(9). Let v(t) = -4*t. Let j(r) = -r. Let z(p) = w*j(p) - v(p). Determine z(y(u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -27166370 (base 8) to base 4\nAnswer: -113032303320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**2 + 0*w - 2*w + 2*w**2 + 29*w**3 + 5 + 3*w - w**2. What is the units digit of g(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.219 - 0.139. Let u = 0.15 + -0.1. Let n = o - u. What is n rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Suppose -j + 0*j + 5 = r. Solve o - j = -0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -22*l**3 + l**2 + l + 1. Let n be r(-1). Let d = -20 + n. Differentiate -5*w**4 - 2 - 3 + d with respect to w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 15*p**2 + 53 - 6*p + 0 - 53 - 17*p**2. Let z(k) = -k**2 - k + 1. Calculate -n(c) + 4*z(c).\nAnswer: -2*c**2 + 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/12554 and -47\/62770.\nAnswer: 62770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/(-6)*(-3)\/(-2). Let z = 15 - f. Suppose -x + 5 = 5*y - 6, 0 = -5*x + 2*y + 28. Solve -2*l + x + z = 0, -4*l = -4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -14\/1399, 5, -1, 0.3?\nAnswer: -14\/1399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**6 + 47367*c**5 + 50*c**2 + 933.\nAnswer: -240*c**3 + 2842020*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/6 + 40\/12. Suppose 38 = n*c - 74. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62796 or -62795?\nAnswer: -62796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 + 75*o**2 - 58*o - 161. Give t(-38).\nAnswer: 599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1085 and 18235?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/6869072 and 73\/30052190.\nAnswer: 240417520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 6 = -14. Let p = -3 - t. Let k = -1 + 3. Are k and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3997*p**3 - 134*p**2 + p - 67683908?\nAnswer: 11991*p**2 - 268*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Suppose q*m - 3*n - 77 = 0, 3*n + n = 3*m - 113. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**2\/3 - 3158*c\/3 - 12664\/3 = 0.\nAnswer: -4, 1583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d**2 + 153*d + 26. Determine w(-6).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3.01*-0.056\nAnswer: 0.16856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -430.5 + 48.5. Let j = h + 382. Let b = -388\/5 - -78. Sort j, -18, b.\nAnswer: -18, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1494600.3 to the nearest ten thousand.\nAnswer: -1490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -269 - -271. Find the third derivative of -6221*c - 40*c**2 - m*c**4 - 9*c**3 - 2 + 6221*c wrt c.\nAnswer: -48*c - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c + 2*c**2 + 13*c**2 - 9*c to the form w*c + o*c**2 + k and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35232, 70469, 105706, 140943, 176180, 211417?\n\"Answer: 35237*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 8:29 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**5\/5 + 112*i**4\/5 - 15991*i**3\/5 + 92318*i**2\/5 - 15288*i = 0.\nAnswer: -196, 0, 1, 5, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*w**3 - 12*w**4 - 22*w**3 + (-2 + 2 + 1)*(2*w**4 + w**4 - w**4) + 2328 - 2328 + 64*w**4 to the form z*w**3 + q*w**2 + a + t*w**4 + f*w and give t.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1810, -1936, -2140, -2416, -2758, -3160, -3616?\n\"Answer: n**3 - 45*n**2 + 2*n - 1768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 18?\nAnswer: -25\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 9*l - 18. Let x be d(-3). Let k be (-2)\/x - 1420\/180. Calculate the remainder when 90 is divided by 26 - (-5*k\/20 + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5680850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9070*k**4 + 11*k**3 + 229*k**2 + 235.\nAnswer: -217680*k + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 64 = 48. Let o(n) = n**2 + 19*n + 20. Let m be o(-18). Suppose m*k - y - 4 = 0. What are 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 0 = 2*m + 2*h - 1912 - 5624, -4*m = 3*h - 15069. Suppose 12*f + 3*f = m. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -3*b + 8. Suppose 5*j - 8 - 23 = y, 4*j = 3*y + 27. What is the common denominator of (-6)\/(-22)*b\/j and 4\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unqeyenuqqyqnf. What is prob of sequence uny?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 100. Let r = -47.00084 + l. What is r rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-3 - (-78)\/24)\/(-1). Suppose 0 = z - w + 4, 5*z + 4*w = -0 - 11. Put 4, v, z in ascending order.\nAnswer: z, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33, 38, 45, 54, 65, 78, 93?\n\"Answer: k**2 + 2*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 1318.13?\nAnswer: 1323.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 8*g + 6. Let w be h(8). Suppose 4*z = u + w, 3*u - 4*u = -2*z + 2. Suppose d - 45 - u = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:35 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 6*r + 4. Let l be w(-5). What is the highest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 k, and 1 t when four letters picked without replacement from {t: 2, d: 2, k: 1, j: 3, r: 6}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 - 8*a**3 - 157753 - 5*a**3 + 78706 + 79047.\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 10*u**2 - 7*u - 33. Let q be l(8). Differentiate 194*s - 19 - 86 + q*s wrt s.\nAnswer: 233","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*(-2)\/20*-5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**5 - 55*x**4 + 195*x**3 - 225*x**2 = 0.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682*f - 941*f = -14245 for f.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37 + 23*h**5 - 32*h**2 - 37 + 2*h**5 wrt h.\nAnswer: 1500*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -73. Solve -2*k - 30 = i*k - 5*r, 5*r = 2*k + 24 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 74*w - 44. Let m be z(6). Let p(g) = -267*g**2 + 3*g + 2. Let v be p(-1). Let i = v + m. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8329*v**2*z + 9*v*z - 2*v + 4*z + 1 wrt v?\nAnswer: -16658*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13016\/40831 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**2 - 7*j**2 - 11*j**2 + 1 + 2*j**2 - 39*j**2.\nAnswer: -69*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/2)\/((-9)\/27). Let v be c\/(-18) - (-14)\/(-3). What is the lowest common multiple of 1 and v\/12*(-8 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12822685013 - -12822678395.849993. Let y = z + 6617. Let x = -0.15 - y. Round x to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2) - (21 + -3)\/(-9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.93642388 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 19 - 15. Let v be (-14)\/(-5) - (-1)\/5. Suppose -2*f + 15 = -b - 1, -4*f + 30 = -v*b. Calculate the smallest common multiple of t and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34445 divided by 33?\nAnswer: 34445\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-68)\/(-12))\/((-2)\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.43 + 0.07. Let p = m + -0.54. Let l = 0.5189 - 0.0189. What is the third smallest value in p, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/5 + (-1)\/(-5). Let a be l*((-70)\/6 + -1). Let i = 53 - a. Solve -3 = 4*h - i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 9, -14, -61, -138, -251, -406, -609?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 58*z**3 - 14*z**2 + 45*z - 208. What are the prime factors of t(6)?\nAnswer: 2, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*h, -4*b - 5*h = -h. Suppose b = -2*u + 47 + 43. Calculate the remainder when u is divided by (-1)\/(-1)*24 - 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 + 4*p**2 - 4*p + 5. Let h(z) = -z**2 + z - 1. What is -4*h(i) - j(i)?\nAnswer: 2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -472646 + 315435. Let v = b + 3459969\/22. Let t = v - 121\/2. Which is greater: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -14) + 5\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + g**2 + 12 - 4*g**2 + 4*g + 2*g**2. What are the prime factors of y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 35*p - 11041. Suppose -p = -l - 2*i, -6*l = -11*l - 2*i + 1599. List the prime factors of l.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 - 5*q**2 + 2 + q**4 + 3*q**2 + 2*q**3 to f*q**4 + y*q + n + p*q**2 + v*q**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/(-1188))\/((20\/88)\/((-2)\/4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1777 - 938 - 73*f**2 - 845 + (-3*f - 3*f + 4*f)*(-1 + 1 + f).\nAnswer: -75*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 344.7815km in nanometers?\nAnswer: 344781500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/17753128 and -51\/2?\nAnswer: 17753128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 24*t + 81. Give a(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2650 - 1379. Calculate the highest common factor of k and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -575 - -640. Let l = -88965 + q. What is l rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*i + 4, -6*k + k - 3*i + 3 = 0. Solve 0 = -k*b + 492 - 477 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -11 - (-8 - (15 + 1 + -4))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -685 divided by 8.\nAnswer: -685\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + 3. Calculate the least common multiple of 128 and b.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 657 + -655. Let v(z) = -2*z**2 - 4*z**3 - 3*z**2 + 4*z + 3*z**3. Let i be v(-6). Solve 0 = 4*k - i, -25 = -y*w - 5*k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352 = 48*p + 52*p - 23*p - 3894 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 9*r**2 + 2*r - 13. Let v be c(9). Suppose -v*o = -19*o + 73472. What is the units digit of 2\/(-9) + o\/288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*v + 191 = 43, 0 = t + 5*v + 43. Let a be (3\/4)\/(t\/(-128)). Let u(l) = -5*l + 334*l**a - 333*l**2 + 5 - 1. Determine u(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -397524 and 85948721.\nAnswer: 85551197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -50. Suppose 4*p - w = 2*k + 8, k + 1 = p. Let r(t) = -2*t + 2. Let n be r(k). What is the third smallest value in n, -0.1, 3, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/9)\/(2\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)\/(12\/6). Let r = d + 1. Calculate the remainder when 1 - -1 - (2 + -2) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5796888 to the power of 1\/2, to the nearest integer?\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 852*g**6 + 1025*g**6 + 360450*g**2 - 7*g - 360558*g**2 wrt g?\nAnswer: 225240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.6 + -28. Let n = 10 + q. Let p = -8.26 + 6.26. Which is the nearest to p? (a) n (b) 1\/12 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0.5 (c) -0.1 (d) 1 (e) 6 (f) 1600\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 10 = 3*m. Let l(h) = -4*h**3 + 3*h - 1. Let y(k) be the first derivative of -k**4\/4 + k**2\/2 - 1. Calculate m*l(j) + 6*y(j).\nAnswer: 2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(-1) + (-2)\/1. Suppose 0 = -3*d - 0*d + y. Let l = d - -2. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**4\/2 + 3145*j**3\/2 + 82355*j**2\/2 + 288495*j\/2 + 104643 = 0.\nAnswer: -22, -3, -1, 3171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 + 226708*j\/3 - 6576214\/3.\nAnswer: 2*(j - 29)*(j + 113383)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 z when four letters picked without replacement from {r: 8, z: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**2 - r + 5 - 1\/3*r**3. Suppose 3*g + 7 = 1. Calculate a(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 634367965 and 5390.\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 15*o**2 + 28881*o + 433235. Determine m(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(5\/2 + -2). Suppose w*y - 132 = -4*y. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16374 divided by 2333.\nAnswer: -16374\/2333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2862223*j. Let r(n) = -153*n**2. Give f(r(u)).\nAnswer: 437920119*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jll when three letters picked without replacement from jljllj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 2*m - 5. Let d be f(4). Let a = -30 - d. Is (-4)\/((-8)\/2) + 52 + a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -4. Let d be (-1 + 1)\/(-2 + -1). Suppose 4*b - 5 - 15 = d. Let s(k) = -k - 6. Let r(j) = j + 7. Determine a*r(z) + b*s(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/25 (b) -17 (c) -1\/11 (d) -2\/21 (e) 33\/4 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -116662*l + 116669. Determine u(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5397, 5426, 5459, 5496, 5537, 5582, 5631?\n\"Answer: 2*y**2 + 23*y + 5372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 236*l**2 - 4*l + 410. Let x(a) = 236*a**2 - 5*a + 510. What is 5*j(o) - 4*x(o)?\nAnswer: 236*o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 3, i: 6, b: 2}. What is prob of sequence iyy?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -369930600 to the nearest 100000.\nAnswer: -369900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*v**3 + 3*v + 5*v**2 - 3*v - 32*v**3 + 2 in the form f*v**3 + o*v**2 + u + z*v and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*f**2*i**2*n - 14*f**2 - 272*f*i*n + 383355*i**2*n + 2*i*n wrt f?\nAnswer: -18*f*i**2*n - 28*f - 272*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114*w + 460*w + 976*w - 621*w**5 wrt w?\nAnswer: -12420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.8 (c) -131 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*t**6*z - 16*t**4*z - 316*t**2*z - 3 wrt t?\nAnswer: 1920*t**3*z - 384*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 6 = d. Let r = d + 4. Let z(b) = b**2 + 5*b + 2. Calculate z(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -704532?\nAnswer: 704536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 10) to base 16.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -327 - -278. Let t = w + 44. What is the closest to -1 in -0.2, 0.03, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-1 + -18)\/1. Suppose x + 4 = 5*z. Suppose 2*c + 24 = 4*s - 2*c, s + z*c + 14 = 0. Solve -s*h = -2*v + 2*h - 14, -4*v - 14 = -h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-84)\/105)\/(2\/(-65)). Let t be 12\/(-9) - o\/(-15). Which is the closest to t? (a) 3\/5 (b) -1 (c) 0.1 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggbgbgggggg. Give prob of picking 2 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 13. Let s = -4 + z. Solve -s*x - 18 = -5*i, x + 8 = 3*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 2*s - 5. What is z(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpxmqxpmxxpmfbqqp. What is prob of sequence xp?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 253032334 (base 6) in base 16?\nAnswer: 4ad1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 27. Suppose -3*x = 0, -6*x + 9 = v*f - 4*x. Solve -5 + 2 = -d + f*w, -5*w - 3 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1\/36*3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 12:32 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i*i**(-1\/4))\/i)\/i*i)**(2\/3))**20\/((i**(-1\/3)\/i)**(-11))**(-12\/17) assuming i is positive.\nAnswer: i**(346\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1559954 and 484?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**3 - 4726 + 4726 - 11*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/2153 (b) -1\/4 (c) 5\/3 (d) -2\/27 (e) -0.5 (f) -1\/16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 623 + -425. Let -k*r - 8*r**4 + 182*r + 4*r**4 - 24*r**3 - 36*r**2 = 0. What is r?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 18*k + 3. Let a be i(18). What is the highest common factor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2148796 by -26.\nAnswer: -82646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 4, -2\/169, -5?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 854322 >= 854310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*l - 46. Let o = 12 + l. What is the greatest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*p**2 - 19840 - 11*p + 11*p + 5*p**2 + 19840 + 17*p**2.\nAnswer: -29*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -15. Let i be 2775\/(-36) + q\/(-4). Let k = i - -78. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 62071121 - -4?\nAnswer: 62071125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**5\/20 + m**3\/6 + m**2 + 270*m. Let y = -1 - -3. Calculate j(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -12. Calculate the common denominator of 2\/o + (-130)\/770 and -21*3\/(-3*11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*x + 5*d, d = -x + 2*d + 4. Suppose z - 634 = 5*j, 3*j - 3300 = -5*z + x*j. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138644 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v*v**8)*v)\/v*v*v*v**(-14)*v)**(1\/19))**18 assuming v is positive.\nAnswer: v**(-324\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 361515 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - 52. Let o = 1321 + -1245. What is the smallest common multiple of y and o?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 2. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 484?\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1420 = 2*n, 10*m - 3*n + 2094 = 13*m. What is the highest common divisor of m and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 10 = 54. Let k(w) = 4*w + 8 - 3*w - 8 + 19. Let t be k(z). Solve p + p - t = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k + h = -18, 4*h + 27 = 5*k. What is the second derivative of -g - 2*g**3 + 5*g - 2*g**k + 0*g wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 71, 92, 121, 158?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*-1*12\/(-24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2099*r + 40*r = 14118 - 136041 for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 1148516*r - 24117954.\nAnswer: -2*(r + 21)*(r + 574237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -52326*-5\nAnswer: 261630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 0.128?\nAnswer: -0.00896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5644210 - -3?\nAnswer: 5644213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39876229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10*q - 3. Let b(u) = 276*u + 24. Let a(t) = -25*t - 2. Let z(v) = -32*a(v) - 3*b(v). Let o(j) = 8*n(j) - 3*z(j). Let d(m) = -30*m**2. Give o(d(c)).\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**6\/120 + v**5\/6 - 13*v**4\/12 - 4*v**3 + 2*v**2. Let j be i(-12). Is 234 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + 12*t + 4. Let w(r) = 2*r**2 + 11*r + 3. Determine 3*j(u) - 4*w(u).\nAnswer: u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1792)\/196*826\/118.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 495. Let y be c(0). Calculate the greatest common factor of 45 and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/7 (b) -1\/1149 (c) 2 (d) 5 (e) -2 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (308 - 242 - 798 - 1884 - 1236)*(2*g**2 + g**2 - 4*g**2).\nAnswer: 3852*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 9, 2, 3, -9 in descending order.\nAnswer: 9, 7, 3, 2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 7*d + 3. Suppose 0*x + x = 5. Suppose -x = -2*n + 3*n. Calculate w(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 8) to base 9.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + 4. Suppose -11 - 49 = -k - 4*i, -f*k - 4*i = -240. Let y be (-2 - -2*3) + 2. What is the greatest common divisor of y and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -45. Suppose 4*x = d + 11, -i = 2*x + 5*d - 4. Suppose -3*t + x*t + 16 = p, 4*t = 4. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -702882 (base 10) in base 11?\nAnswer: -4400a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -1\/18*y**4 - 1\/90*y**6 - 138*y + 0*y**3 - 1\/252*y**7 + 0 + 0*y**2 + 7\/120*y**5. Let u(r) = 0. Calculate r.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 924 and 363?\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:55 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 3. Let l be 10\/(-6)*2\/(12\/(-18)). Suppose 2*a + 2 = 3*a. Suppose y - a*y = -i + 1, -l*i - 19 = -y. Give o(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2 = -y. Let p be ((-28)\/y - 3) + -1. Suppose 0*r = 5*r + p. What is the biggest value in -0.1, -1\/4, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 + 52. Let w = 367 - 367.3. What is the second biggest value in 0.1, w, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16687 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8847 + 8849. Which is the nearest to -1? (a) -1\/2 (b) u (c) 1 (d) 25\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -922 + 11023 = -481*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.74 + 0.54. Suppose -3*k = 2 - 5. Let v be 2\/12*k\/(-2). Which is the closest to 1\/4? (a) u (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 11:50 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 32*z**2 + 69*z + 91. Let v be y(-34). Put v, 0, 5, -1 in descending order.\nAnswer: v, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 60323413.49 and 28.11.\nAnswer: 60323441.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 9 = -5*x. What is the tens digit of (-14)\/(-42) + (-95)\/x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 divided by -5.\nAnswer: -143\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/324)\/(1*(-9)\/(-81)*-3)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 19*g**2 + 4*g + 4. Let o(i) be the second derivative of -25*i**4\/4 - 5*i**3\/2 - 15*i**2\/2 - 3395*i. Determine 4*o(t) + 15*z(t).\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -266635\/5734 - -2\/2867. Find the common denominator of t and ((-36)\/(-32))\/(6\/(-40)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101153567*c*j**2 + 23869518*j**2 with respect to c.\nAnswer: -101153567*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8*w - 504. Let l be m(-62). Suppose 0 = -4*t - 0*t + 16. Let u be 3\/t*l\/9. Sort u, -3\/7, 3 in decreasing order.\nAnswer: 3, -3\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125602*l - 43*l**2 + 125602*l + 224.\nAnswer: -43*l**2 + 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**0)\/d)**(-26)\/(d\/d**(-2)*d*d**(4\/9)) assuming d is positive.\nAnswer: d**(-274\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121108 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*w + 233*w + 37 - 227 = 0. Solve -5*v + 9*r = 5*r - w, v + 5*r - 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 40*d + 1. Let h(f) = 39*f + 1. Calculate 6*h(x) - 5*q(x).\nAnswer: 34*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -3*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3482)\/41784)\/((-5)\/(-420))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 9*t - 22 - 8 + 20. Let u be q(7). Solve -u*o = -2*s + 18 - 6, -2 = s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q = 98*q - 215 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -528988, -4231276, -14280208, -33849106, -66111292, -114240088, -181408816?\n\"Answer: -528887*b**3 - 79*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, 219578, -2, 13 in ascending order.\nAnswer: -2, 0.2, 4, 13, 219578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1215 + -726. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/62 and 7\/12580.\nAnswer: 389980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**4\/6 - 5*j**3 + 15*j**2\/2 + j + 44. Let i be s(-15). Solve i - 1 = -2*z + 4*x, 25 = 5*z + 5*x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7*n**3 - 26*n**2 + 3*n - 11. What is the remainder when 120 is divided by k(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/7000*10)\/((-12)\/7)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-325)\/15 + (-4)\/(-6). Let d = -21 - c. Does 38 divide 65 - -6 - -2 - (d + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5754 and -22.0626.\nAnswer: -5776.0626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338453, 338459, 338465, 338471?\nAnswer: 338477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 8015, 0.2, 0.5, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -80 + (-51 - -47) + 120\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 6. Let q(p) = -p**3 - 2*p**2 + 5*p + 3. Let h be q(-3). Let t be n(h). Factor 1\/4*v**4 + 0*v**t + 0*v + 0 - 1\/4*v**5 + 0*v**2.\nAnswer: -v**4*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 175\/6, 67674, 4\/5?\nAnswer: 175\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 8*y - 1. Let s be q(8). Let r(f) = -f**3 - f**2 + 1. Let n(h) = -10*h**3 - 3 + 8 + 0 + 9*h**3 - 5*h**2. Give s*n(j) + 5*r(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0092 + 0.01359. What is b rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 7*j**2 - 10*j + 4. Let r be c(-8). Let o = -18 + r. Suppose -m + 4*l = 10, 4*m - l - 28 = -o*l. Solve 4*k + 14 - m = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 1408 (c) -1\/7 (d) -480\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 14458\nAnswer: -2\/7229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2 = 7. What are the prime factors of (0 + 0 + z)*25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1266209, 1266207, 1266205, 1266203, 1266201?\nAnswer: 1266199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13603847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 45*y**2 + 360*y + 213. Let m be d(52). Let q(r) = -29*r + 16. What is q(m)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35990802*v + 35990802*v + 2527*v**3 + v**2.\nAnswer: 2527*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3800, 7602, 11404, 15206, 19008, 22810?\n\"Answer: 3802*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 8*r + 11. Let l be x(8). Suppose -c = -25 - l. Differentiate -c*v**2 + 2*v**3 + 36*v**2 - 7 with respect to v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68649607051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 5*y + 2*y)*(2*y + 5 - 5) + 16340*y + 4984*y**2 + 16342*y - 32684*y.\nAnswer: 4980*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46 - -8?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/15, -26, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/23 and (-23)\/(3*(-7)\/(-3))?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -43*i**5\/6 - 91*i**3 + 627*i**2. What is the derivative of h(f) wrt f?\nAnswer: -860*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 739956 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 2.8. Let q = 2.182 - -0.118. Let v = q - 2.2. What is the third smallest value in 0, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -2*b + 0*b**4 + 0 + 0*b**3 + 3\/20*b**5 + 4*b**2. Let v(d) = 3*d. What is a(v(u))?\nAnswer: 81*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 1897 and 1895 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/8)\/((-14)\/56). Let f be (-2 + 4 + i)*-51. Suppose j - w = 21, f = j + 2*w + 3*w. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128295.\nAnswer: 3, 5, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(((sqrt(1900) + -2)*-5 - (sqrt(1900) + -2*(-1 + sqrt(1900)) + sqrt(1900))) + -2))**2.\nAnswer: -9600*sqrt(19) + 760580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -22. Let l(o) = -3*o + z*o - o + 0*o. Let k(y) be the second derivative of -17*y**4\/12 + 2*y - 2. What is k(l(r))?\nAnswer: -68*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -48, -121, -234, -393, -604?\nAnswer: -873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2472*s**2 + 10*s + 1448. Let j(r) = -r**2 + 5*r + 7. Let k(x) = -2*j(x) + q(x). Differentiate k(u) wrt u.\nAnswer: 4948*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/6 + 7207*i**3\/3 + 704509*i**2\/6 + 1494056*i + 1379040 = 0. What is i?\nAnswer: -14365, -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7749159752 to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 850400 to the nearest ten thousand.\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 - v + v)*(38 + 9*v - 38 + (4*v - 2*v + 2*v)*(-2 + 0 + 3)).\nAnswer: 26*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 24*v - 99. Determine l(-28).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21319\/4 - 5365. Suppose 0 = 2*o + 110 - 40. Let v = o - l. What is the biggest value in 2\/7, v, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -6. Let l be 5 - (-6)\/(-3 - t). Suppose 2*x - 9 - 2 = -3*g, x - 4*g = -11. Solve -l*p = 3*q - 6, x - 17 = -4*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l - 3415 = -27241. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 - (-19)\/(-4). Suppose 10*z = 2*z + 16. Let b(s) = -3*s**2 - 25*s + 197. Let t be b(5). Put k, t, z in descending order.\nAnswer: z, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 - 21*z**2 - 2*z**2 in the form l + k*z + v*z**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1017\/5 - -4093\/20. Which is the biggest value? (a) 12.8 (b) 1\/7 (c) l (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = -5*r + 5*o + 1192, r - 6*o - 252 = 0. Suppose 5 + 115 = t. Let i = r - t. 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: What is 328 minutes before 4:25 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40871.\nAnswer: 23, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -68*b**3 - 95*b**2 + 41*b + 27857. Let o(u) = -7*u**3 - 12*u**2 + 5*u + 3482. Let y(v) = 17*o(v) - 2*p(v). Differentiate y(r) wrt r.\nAnswer: 51*r**2 - 28*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -784 = -8*r + 1352. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39699520 = -5*u - 5*p, -3*u + p = -2*u + 7939896. Round u to the nearest 10000.\nAnswer: -7940000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -3\/19, 1682?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17732, -35359, -52986, -70613, -88240, -105867?\n\"Answer: -17627*o - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252322198 is divided by 4587676.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - y**3 + 0*y + 1 + 2*y**3 - 1 + (-2*y**2 - y + y)*(-y + 5*y - 2*y) + 8*y**3 - 3*y - 25164 + 25166 - y**3.\nAnswer: 4*y**3 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12339 and 1371?\nAnswer: 12339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72900*r - 4\/3*r**3 - 540*r**2 - 3280500 = 0. What is r?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -141\/4 or -36?\nAnswer: -141\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 976439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0*h - 3*h)*((10*h + 45 - 45)*(0 + 0 - 2*h**2) + 2*h**3 + 0*h + 0*h - 4 + 4 - 3*h**3).\nAnswer: 84*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -70, -81, -96, -115?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f. Let w(i) be the third derivative of 0*i**4 + i**2 + 0 - 1\/15*i**5 + 0*i**3 + 0*i. Calculate w(g(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55cb1 (base 14) to base 5.\nAnswer: -23131212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**5\/4 - 5*w**4\/6 + 5*w**3\/6 - 4*w. Find c such that a(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 30202410?\nAnswer: 30202403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291108?\nAnswer: 2, 3, 17, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 915, 923, 933, 945, 959, 975?\n\"Answer: f**2 + 5*f + 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743240?\nAnswer: 2, 3, 5, 73, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30aa - 436?\nAnswer: 2774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167632295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82595611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/18 and 121\/16920.\nAnswer: 16920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -c + 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2. Let s be (35 - 0) + (-1 - -1). Let c = 41 - s. Let g(y) = c*y**2 + 5 - 7 + 2. What is l(g(k))?\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.6054933 rounded to 2 dps?\nAnswer: 45.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1725, -3452, -5179, -6906, -8633?\nAnswer: -10360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433633?\nAnswer: 433633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 2. Let z(c) = 0*c - 3*c - 14 + 16 + 2*c. Let w(n) = -6*n + 1 - 9 + 9*n + 0. Let m be w(4). Give m*r(a) + 3*z(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 - 148 = -17*s + 102. Solve -32 = 3*k - 3*p - 23, -3*k - 23 = s*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 488 and 984.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4850 - 1654. Let m = b + 9223. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 10*h**2 + 19*h - 11. Let l(o) = o**3 + 9*o**2 + 8. Let q be l(-9). Let r be c(q). Solve w = s, w - 12 = -4*s + r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 21, -3, 0, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 46*(-8)\/64. Which is the nearest to 2\/3? (a) 2\/11 (b) -9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 279 = 147. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 + 16985\/237 - (339\/9 + -1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*x - 28 = 0, 2*c = 7*c + 2*x + 15. Let k = 7372\/11 - 670. What is the closest to -6 in 5, c, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 14. Suppose 0 = -4*f - 5*o + t, -5*o = 2*f - o - 12. What is the third derivative of 124*p + 13*p**3 - 124*p - 16*p**f wrt p?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*y - 0*y. Let t be (-10)\/25 + (-34)\/(-10). Suppose -5*k + 0*m = -t*m - 43, -k - 3*m = -23. Are y and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.56308303 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 2913160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*u - 0*h + 40, 0 = -2*u + 2*h + 20. Let m = 817 - 817. Sort u, m, 2 in increasing order.\nAnswer: m, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4 + -3. Let h be (-12)\/(-8) + 369\/(-6). Let p = h + 361\/6. What is the nearest to 2 in m, -1, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {b: 5, x: 1, w: 1, v: 4, c: 1}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1433*n - 126 - 531 + 657.\nAnswer: -1433*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792230?\nAnswer: 2, 5, 227, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24122*g + 24112*g - 72366*g + 24138*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgxbxbjngnbxn. What is prob of sequence gj?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 0*t + 5*n - 11 = 0, 0 = -4*t - 5*n + 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 127 (c) 257 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 5.3. Let p = -22433 + 22430. Let t = 4 + -3. What is the closest to 4 in l, p, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iitninnittintt. Give prob of sequence iitn.\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 4. Let g be j(-3). Let u(s) = -s**3 + 3*s**2 - 2. Let b be u(g). Let h be 32\/4 + -4 + -4. Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-12))\/(460\/(-828)*(-48)\/(-40))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 104.82.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 5*x**4\/12 + 10*x**3\/3 - 41*x. Factor m(u).\nAnswer: 5*u*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*o + 1064, 54*o - 51*o = -2*z + 2037. What is the least common multiple of z and 1029?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -890 or -905?\nAnswer: -890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.4, -0.395, 0.5, -4, 0.02?\nAnswer: -0.395","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4759869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11465*y - 11448*y - 85 = 0. Let b(g) = 3*g**2 + 0*g**3 + g**2 + g - g**3. Give b(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3342 - 88.614507?\nAnswer: -3430.614507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuguguguuuuu. What is prob of sequence guu?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13 + 11)\/(-3 - -1). Suppose -4*w - g = -5*w. Is 2 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hllh. What is prob of picking 2 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + n**2 - 4. Let f = 9 - 8. Let z(k) be the second derivative of k**2\/2 + k. Let w(t) = f*u(t) + 4*z(t). Find p, given that w(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110212 + 1?\nAnswer: 110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 480, 696, 928, 1182, 1464, 1780?\nAnswer: 2136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 239463947 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32503 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19310b (base 12) to base 3\nAnswer: -211101122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l - 11*l + 3*b + 20 = -29*l, 4*b = -3*l + 5*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l - 19*l + 15 - 4*l.\nAnswer: -3*l + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/(-5200))\/(6\/52) + 2\/(-6)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22922 + 458 = 1185*r - 12813 + 55524 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2025 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/8 + 5279*s\/8 + 795795\/4 = 0. Calculate s.\nAnswer: -286, 5565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnlt when four letters picked without replacement from ulnltluunclt.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 12*r**2 + 14*r + 17. Let v be m(-13). Suppose -d - 8 = 4*h, -5*d = -d - v*h - 8. Solve 5*p + 5 + 5 = d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 - 102. Let f = 46\/15 + -844\/285. Put s, -2\/7, f, 0.2 in ascending order.\nAnswer: s, -2\/7, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -109*t + 692. Let o(z) = -27*z + 173. Let c(g) = -9*o(g) + 2*u(g). Let b be c(8). Solve -5*r + 2*f = -7, -3*r - 3*f + b = 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 20, 3 in ascending order.\nAnswer: -3, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -82686\nAnswer: 2\/41343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -675548*n**3 - 477963*n wrt n.\nAnswer: -4053288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8530762651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 29*c**3\/3 - c - 376. Let n(y) = -y. Calculate n(l(b)).\nAnswer: -29*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/11)*q**7*(q**1)**(-5\/3) assuming q is positive.\nAnswer: q**(167\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1247 by 29.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1451, 1438, 1415, 1376, 1315?\nAnswer: 1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49869 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 24 = 6*q. Suppose -q*w - 22 = -8*w. Let r be 13\/w + -1 + (-2070)\/495. Which is bigger: r or -14?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73372800 to the nearest 1000000.\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -10. What is the lowest common multiple of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d + 1701?\nAnswer: 172e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83082*g + 83108*g - 166245*g + 3630 for g.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = a + 2, i - 3*i - 2 = 5*a. Suppose a = -0*t - 4*t - 4. Let j(x) be the first derivative of 2*x**3 - x + 405. Give j(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + i - 181 + 49 in the form z + n*i and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -7054, 1, -5, 11, -1 in ascending order.\nAnswer: -7054, -6, -5, -1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229.8 - -156. Let k = 74 + f. Is 2\/3 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.182 times 1301.3?\nAnswer: 96533.0366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41074 and 41074?\nAnswer: 41074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1410 + 110*u**2 + 2*u - 1151 + 16*u**2 with respect to u.\nAnswer: 252*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**4 + 234*c**3*x - 726*c**3 - 1068*c**2*x - 71*c*x - c wrt c.\nAnswer: -48*c + 1404*x - 4356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5\/2)*a**(-16)\/a*(a*(a*a**(-3))\/a)**30 assuming a is positive.\nAnswer: a**(-159\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 44*w - 2 + 12*w**4 - 14*w**4)*(-6 + 3 + 0) to k*w**4 + h*w**2 + s*w + z*w**3 + l and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {g: 3, t: 2, a: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f**2 - 100*f - 90. Give k(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2216*g**3 + 3*g - 9 + 2206*g**3 - 10*g**2 - 16*g. What are the prime factors of t(-3)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 3:10 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*x + x. Let v be 2\/(-4)*x\/12. Sort -0.5, 2\/7, v in decreasing order.\nAnswer: 2\/7, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22808326 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*p + p + 0*p)*(5 - 2 - 4) - 2*p + 4*p + 0*p)*(1 - 1 - 2*p**3) + (0*p + 3*p - p)*(-3*p**3 + 2*p**3 + 2*p**3).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -28*h**3 - 6*h - 6. Let s(x) = -28*x**3 - 7*x - 7. Let d be 467\/1401 + (-38)\/6. Determine d*s(b) + 7*y(b).\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 687 = 5*t - 0*t, -230 = -i + 2*t. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*g - 2180 - 988 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26699 by 41.\nAnswer: -26699\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93*h**4 - 5*h**3 + 5327.\nAnswer: -372*h**3 - 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2 + 2*sqrt(68) - (5 + -2*sqrt(68))) + -3)**2 + 1.\nAnswer: -160*sqrt(17) + 1189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-947.\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -48*u**3 + 4*u**2 - 20*u + 4. Let v be q(-9). What is v rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -14180 (c) 1\/9 (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 8*j - 23. Determine c(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t*t**(1\/8))\/t)\/(t*t*t\/((t**(1\/4)*t)\/t)*t)*(t\/t**8)\/t**(-2\/19) assuming t is positive.\nAnswer: t**(-1295\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44481651, 88963306, 133444973, 177926658, 222408367?\n\"Answer: z**3 + 44481648*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, k: 2, v: 3, s: 6, n: 1, j: 4}. Give prob of sequence jk.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*q**3 + 16\/5 - 28\/5*q**2 + 16\/5*q.\nAnswer: 4*(q - 2)**2*(2*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 141\/47*4\/66. Sort 0.631, 2, g.\nAnswer: g, 0.631, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17*(-22)\/88)\/1.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 180.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-16))\/((-7)\/(-140))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1173327459 to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.27 + 3.27. Let j = -110 + 108. Which is the closest to -0.2? (a) 2\/5 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g - 6. Let z(d) = 2*d + 3. Let k(c) = 2*m(c) + 5*z(c). Let y be (13 - 1)*(-102)\/(-306). Let o(f) = -6*f - 10. Determine y*o(x) + 11*k(x).\nAnswer: -2*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4108*x + 973552. What is j(237)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 18 = -6. What is the units digit of ((-2)\/(-4))\/(d\/808)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390090783.\nAnswer: 3, 130030261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d + 49*d = 4*l - 112, -2*l - 3*d = -46. Let v(y) be the first derivative of 2*y**2 + 4*y - 3. Let p be v(6). Is l < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196234, -196247, -196260, -196273, -196286, -196299?\nAnswer: -196312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*53\/(-265).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2055172 is divided by 288.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(450) - sqrt(450))\/(-4*(sqrt(6) - sqrt(54))).\nAnswer: 5*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -h + 2*s + 481, h + 2*s - 484 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*w - v, -3*w - 37 = v + 11. Is -1901*(-2)\/(w\/(-40)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = 4. Suppose -y + 9 = r*y. Suppose y*k - 5*o = 8*k, -3*o - 10 = -2*k. Solve k = -2*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaff when four letters picked without replacement from accfcccaff?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 5, z: 3}. What is prob of picking 1 z and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -3732978.\nAnswer: -4\/1866489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2040524 is divided by 23454.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -15 + 86*q - 62 - 177*q. Let o(x) = -5*x + 11*x - 7*x - 6 - 6*x. What is -6*c(l) + 77*o(l)?\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 241990967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 91150942.5 to the nearest 100000.\nAnswer: 91200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 3. Let k = 3.5 - h. Let m = 4.11 + -0.11. Which is the nearest to -1\/2? (a) k (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 - 8*v + 1. Let q be r(-6). Let d = q + 49. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 1. Let k(i) = -3*i**2 + 9*i**2 + 3*i**3 + 6 + 3*i**2 + 3. Calculate k(o) + 9*r(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8538217 microseconds in nanoseconds?\nAnswer: 853.8217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from {f: 4, i: 3, j: 3, y: 2, n: 7}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/6)\/((-4)\/(-40)). Let f = d + 10. Let u = f + 55. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -9*n + 153. Suppose 3*g - 35 - n = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/111))**17*(k\/k**(1\/3)*k**(1\/2))**24 assuming k is positive.\nAnswer: k**(3074\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -19085 - -16470352\/863. Is h less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61253.\nAnswer: 61253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*y + 261*y - 3 - 75*y - 82*y.\nAnswer: 28*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -440539\/30 + 44038\/3. Let g = -238\/11 - -40069\/1826. Calculate the common denominator of t and g.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 2:54 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 1. Let q be r(2). Let s = q - 2. Let g be s\/4 + 21\/12. Is 4 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*w - 11 = 0, 736*r - 737*r + w = 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 34684160 divided by -4335520\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4189 and 1357.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*g = 5 + 5, -3*g - 15 = -l. Suppose -v = 5*f + 4*v - 40, -f = -4*v + 12. Let h be (4*9\/24)\/(3\/f). Put l, 4, h in descending order.\nAnswer: 4, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 15*p = 12*p - 12, -k = 3*p - 4. Let j = 2 - 21. Which is the smallest value? (a) -1\/2 (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 3:20 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3\/5 (c) -2\/9 (d) -4 (e) -6\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -27*w**3 + 2*w + 29. Let j(d) = -80*d**3 + 7*d + 87. Let v(h) = -2*j(h) + 7*p(h). What is the derivative of v(l) wrt l?\nAnswer: -87*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjzjjoarrrrta. What is prob of sequence zjo?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/5130*8595 + -33?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-37))\/((-24)\/(-22)*2233\/609).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/15)\/(t\/t**(-1)))\/(t**(-19)*t**(4\/7)))**46 assuming t is positive.\nAnswer: t**(79994\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 - 583262680*q\/3 + 85048838470195600\/3.\nAnswer: (q - 291631340)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/5 - 218*k**3\/5 - 3036*k**2 - 325206*k\/5 + 68121 = 0 for k.\nAnswer: -87, -45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -7*f**6\/120 - f**5\/60 - 5*f**4\/24 - f**2. Let a(y) = 11*y**3 + 2*y**2 + 8*y. What is 5*a(j) + 8*v(j)?\nAnswer: -j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 395 * -204.\nAnswer: -80580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -408.\nAnswer: -7\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*l**3 - 129*l**3 - 130*l**3.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6255*j + 6258*j = 4*y + 4, 5*y - j + 16 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*p - 10*p + 6*p + (-3*p + p + 0*p)*(0 - 1 - 1) - 2 + 2 - 2*p.\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 4:05 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -40.2. Let a = 15 + z. Let t = -2.6 + a. What is the second smallest value in 0.4, t, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*n**3 + 2)*(3 + 3 - 5) + 4*n**2 - 4*n**2 - n**3 + 0*n**3 + 3*n**3 - 4*n + 6*n - 198 + n**3 + 11*n**3 - 11*n**3.\nAnswer: 5*n**3 + 2*n - 198","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/(-6))\/((-4)\/344).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.39. Let w = -1222159 - -1222158.90999915. Let k = w - m. Round k to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3508\/39 + -90. Is t bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013179685302 to 5 decimal places.\nAnswer: 0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 33 - 38 + 21 + 27 = 0 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*r + 2, 0 = -5*y + r + 282. Let l = y + -29. What is the units digit of l\/(-15)*10\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) 2 (c) -3 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 21, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67137078?\nAnswer: 2, 3, 73, 153281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by 1?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23c09a (base 15) to base 5.\nAnswer: -414230040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3*715\/33*31?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 e, and 1 x when four letters picked without replacement from xexfxxefexqexfesfxex?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -15?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6810395733 less than -0.26?\nAnswer: -6810395733.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**10)*i*i**(-8))\/(i\/i**(-1\/4)*i**11) assuming i is positive.\nAnswer: i**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015752 rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(637) + 1)*-4)**2.\nAnswer: 2016*sqrt(13) + 91872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1683 and 2295.\nAnswer: 25245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*x - 15 = 0, 13 = -5*v + 5*x - 2. Suppose v = -n - 3*n. Solve 5*g - 25 = n, -g + 0 + 2 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 715 divided by 2\nAnswer: 715\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(150)\/sqrt(54))\/(sqrt(10)\/((sqrt(2) + (sqrt(2) - (sqrt(2) - sqrt(32))))*-5)).\nAnswer: -1 + 50*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77334.\nAnswer: 2, 3, 12889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 1. Let y(l) = 12*l + 7. Determine -y(i) - 6*z(i).\nAnswer: -6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1453145)\/240 - 4\/6. Let i = -1478 + 7539. Let s = i + x. Find the common denominator of s and 57\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**3\/6 + 19*j**2\/2 + 9*j. What is the remainder when 33 is divided by c(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + (sqrt(20) + sqrt(140)\/(sqrt(7)*-3) - sqrt(20) - sqrt(40)\/(sqrt(4)\/sqrt(2))) + -5))**2.\nAnswer: 144*sqrt(5) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 + 38*o - 48. Let h be i(17). Solve -16*t - 20 = -h*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -3, -119640, -2\/11 in decreasing order.\nAnswer: 9, -2\/11, -3, -5, -119640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(22)\/sqrt(2) - sqrt(11) - 1*sqrt(1100) - (-2 + sqrt(11) + 2 + sqrt(275)))**2.\nAnswer: 32*sqrt(11) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 - 8*c - 44. Let p(r) = -2*r**2 + 3*r + 15. Determine -3*n(h) - 8*p(h).\nAnswer: h**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 16343.42.\nAnswer: 81717.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 928448\/15 = 61896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 24*l**2 - 464*l + 2101. What is j(12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 150796 + -393?\nAnswer: 150403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8435 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 -6*f**3 + 1418120*f**2 + 3288*f + 8999 wrt f.\nAnswer: -36*f + 2836240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-15)*1*(-8)\/(48\/18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/15983292 and -113\/108?\nAnswer: 143849628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 11.542?\nAnswer: 16.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011786656 to five dps.\nAnswer: -0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107981634*z**4 - 24805692*z - 19?\nAnswer: 1295779608*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -65.72738 times -7\nAnswer: 460.09166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3))**(-2\/43)*(o**(-1))**(-1\/16)*((o\/((o**(-1\/2)\/o)\/o))\/(o\/(o**(-4)\/o)))\/((o*o**(3\/2)*o)\/(o\/(o\/o**4))) assuming o is positive.\nAnswer: o**(-3935\/2064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -10*d - 35. Suppose -d*r + 84 = -5*r. List 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 the thousands digit of 5140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-129)\/301 + 22\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.162 and 0.8?\nAnswer: 0.1296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 - -59.3. Let l = i + 8.6922. What is l rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -3. Let a = -0.7 + 1. Let x(h) = h**3 + 2*h**2 + h + 1. Let t be x(-2). What is the second biggest value in t, r, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.47 - 2.37. What is the smallest value in s, -6, 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**5 - 20*u**2 + 49*u + 293*u**6 - 322*u**6 + 21*u**2 wrt u.\nAnswer: -3480*u**3 - 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p + 554 + 409 = 50*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c17d49 + 3?\nAnswer: 2c17d4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -4*g - 111667 + 111675, 4*g + 3*h - 16 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255 = -10*f - 305 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 + 88*p**2\/5 - 38*p - 276\/5.\nAnswer: 2*(p - 3)*(p + 1)*(p + 46)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g - 298. Suppose 29*b + 1395 + 390 = -6*b. Give l(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 25*m - 21. What is the third derivative of -431*x**5 + 414*x**5 - x**m - 51*x**2 + x**3 wrt x?\nAnswer: -1020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.114 in -0.25, 1\/24, 2, -2\/3?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3708936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 12c0?\nAnswer: 12ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15 - -25)*(27\/5 - 1). Let q = 41 - m. Put -10, 5, -2, q in descending order.\nAnswer: 5, -2, q, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -k - 25 - 11 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/7*3)\/3*6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyyyhhyyhyyhhyylhy. Give prob of picking 2 h and 2 l.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -36996, -73132, -109270, -145410, -181552, -217696?\n\"Answer: -c**2 - 36133*c - 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -80 in 5, -1\/3, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 596*d**5 + 20256*d**4 - 162384*d**3 + 363352*d**2 - 224772*d + 2952 = 0.\nAnswer: -41, 2\/149, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {u: 6, i: 2, v: 9}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**5 - 306*k**4 - k**2 - 1070*k wrt k?\nAnswer: 60*k**3 - 3672*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**3 - 308*f**2 + 14*f + 32880?\nAnswer: 3*f**2 - 616*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (0\/(-28) - -4*1) + (-4 - -57) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 3)\/(95\/38). Let d(x) = x**2 + 6*x + 2. Let y be d(-6). Do y and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/(-12))\/11*-6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*y - 25, -5*u + 3*y - 25 = -0*u. Let m be (-9 - u)*(0 + 1). Which is the third smallest value? (a) 0.1 (b) -1\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5504048 to the power of 1\/2, to the nearest integer?\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) + sqrt(66) + sqrt(66)*-2 + sqrt(66))*-3 - 4*(sqrt(66)*-4 - sqrt(66) - sqrt(66)))\/((sqrt(36)*-1*2)\/(-1*sqrt(486))))**2.\nAnswer: 392931\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -929\/2*f**2 - 5*f - 1. Is o(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**5\/60 - 7*a**4\/24 + a**3 + a**2 + 171*a. Let z = -18 + 7. Let l be z\/(-2) - 2\/4. Calculate x(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 - 106 = -30*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.952 to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466*b - 15 = 463*b. Solve v + 12 = 4*s, 3*s = -0*s - b*v + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -24, -3, -0.2, 0.04?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19165*-5.\nAnswer: 95825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 196*(-3)\/9. Let g = o - -66. Which is the third smallest value? (a) 2\/5 (b) -0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4eb + 1e81?\nAnswer: 236c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 137, 565, 1281, 2285, 3577, 5157, 7025?\n\"Answer: 144*t**2 - 4*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 2*t - 2*t - 3*t - 2*t + t + (5 - 1 - 5)*(2*t - 4*t - t) - 5 + 5 + 3*t to the form f + k*t and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.0036 + 6. What is k rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38b + 5?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-46)\/6)\/(3\/(-63)). Let y(w) = w**2 + 3*w + 14. Let q be y(-11). Let v = f - q. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*n + 10 = 0, 3*a + 11 = 5*n + 28. Suppose 0 - o**5 - 9\/4*o**3 + 1\/4*o - 1\/4*o**2 - 11\/4*o**a = 0. What is o?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbiovlk. What is prob of picking 1 k and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11047078048\/14301 - 5407284\/7. Let x = u + -2\/2043. What is the fourth smallest value in 0, 3, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+6264\nAnswer: 6261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 7*y = 9*y - 6, 3*t + 6 = -2*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -23. Let o = 34.14914 + -0.09114. Let j = o + k. Round j to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 308 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -684479, -2737957, -6160427, -10951889, -17112343?\nAnswer: -24641789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = -13*d + 436. Let i be ((-3)\/2)\/(3\/(-4)). Let x(p) = -p**2 + 1. Let o(s) = 10*s**2 - 8. Calculate d*x(t) + i*o(t).\nAnswer: 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 9 - 23. Let f(r) = r - 8. Let h be f(j). Solve h = -a + 4*a - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 - c - 2. Let n be u(8). Suppose -j + 3*g - 79 = -201, -2*j = -5*g - n. Is j\/5 + 4\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*f + 482*f - 216524 = -63322. Calculate the greatest common divisor of f and 9238.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 16*b + 22 = 0. Put 22, -4, b in increasing order.\nAnswer: -4, b, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 248 + -247.99899. Round b to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 (base 14) in base 5?\nAnswer: -2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 w, and 1 o when four letters picked without replacement from fhflwfhfwufhfofohffu.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/3*x**3 + 0*x - 2\/3*x**5 + 0*x**4 + 0*x**2 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8165*h**2 - 1307?\nAnswer: -16330*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 19*w**3 - 19*w + 13*w**3 + 18*w to the form t*w**3 + u + x*w + d*w**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.9 - 24. Is m at most 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 = a + 2*k, 14 = 4*a + 2*k. Suppose 12 = a*y - 9. Let u = y + 4. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271830.6 nanoseconds to days.\nAnswer: 0.0000000031461875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3227*f + 0*k - 2*k - 16 = -3223*f, 12 = -2*f - 3*k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 104, 71, 4, -109, -280, -521, -844, -1261?\n\"Answer: -2*g**3 - 5*g**2 - 4*g + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 26. Let w = s + -7. Let u = -22 - -32. What is the remainder when u is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2 + (4 + 1 - 4)*(1 - 2 - 1) - 1 - 2 + 1)*(-4*s + 4*s - s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2534181 kilometers to micrometers.\nAnswer: 253418100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/(q*q**(4\/7)))\/(q**(1\/3))**2 assuming q is positive.\nAnswer: q**(-110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1054346.76632056 + 1038183.38042. Let t = 16136.3859 + x. Let i = 27 + t. Round i to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -100466.995 to the nearest integer.\nAnswer: -100467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 3*v - 2. Let r be z(-2). Suppose 0*p + 4*p - 120 = r. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 79\/1659*(0 - -6). What is the nearest to -1 in t, -0.3, 217?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = 2*j. Let p(c) = -5*c. Let g be p(j). Let f(w) = -89*w + 2942. Let z be f(33). Solve 0 = z*v - 0*v - g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33075 * 4.\nAnswer: -132300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/(-15) + 1)*9573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 160 - 15 = 0. Suppose -113 = -3*q - c. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220222110 (base 3) in base 4?\nAnswer: 21100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from ukukusukuukus?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108997744 to the nearest integer?\nAnswer: 10440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - m + 7 + 4*m + 0*m. Determine p(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4017 = 4*k + 465. Suppose -12*n + 4*n = -k. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 652644, 1305397, 1958150?\nAnswer: 2610903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1263 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 311 - 19. Suppose 3*g = 344 - 965. Let r = o + g. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/642, 0.2, -52?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t - 0*t, -8*n + 282 = -2*t. What is the smallest common multiple of 588 and n?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 54. Calculate the remainder when 43 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.242066023 to 3 decimal places.\nAnswer: 1.242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -g + 964, 0*g + 5*b = 4*g - 3793. Suppose 4*r - a = 2*a + 3808, r = -a + g. List the prime factors of r.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11*u**3 - 8*u**2 - 8*u - 3. Let i(c) = -c**2 + c + 2. Let l be i(-2). Let y(x) = -5*x**3 + 4*x**2 + 4*x + 1. Let a(w) = l*j(w) - 9*y(w). Give a(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 995757221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 5*p**2 + 2*p**2 - 8*p**2. Let t(s) = -7*s**2. What is t(w(k))?\nAnswer: -7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5167035?\nAnswer: 3, 5, 199, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -4*s**3\/3 + s**2 - 5*s. What is the first derivative of n(c) wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3110*d**2 + 11*d + 11. Let o(c) = -3888*c**2 + 14*c + 14. Let p(m) = 14*i(m) - 11*o(m). Let h(q) = -q**2. What is h(p(j))?\nAnswer: -595984*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-1172)\/16) + (-1)\/4. What is the tens digit of ((2 - 25)\/(-1))\/(9\/f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 632, 2, 8, 4, -2.\nAnswer: -2, 2, 3, 4, 8, 632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1380541 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17672.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.11394 millimeters to centimeters.\nAnswer: 0.411394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29 + 18 + 12 + 165*n + (2*n + 0 + 0)*(0 - 3 + 4).\nAnswer: 167*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 165502351 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-234)\/57 + 4)*-1 + 10\/(-95). Solve -5*z = -15, d = r - 4*r + 4*z - 27 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 306681*i**2 + 420083*i wrt i?\nAnswer: 613362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3 - 182*z + 177*z - 5*z**2 + 13 = 0. What is z?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - -1)\/(-2) + -1. Let l = 27 + a. What is b in 4 + 4*b**4 - 26*b**2 + l*b**2 - 4 - 2*b**3 = 0?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.204\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -17*j + 46. Calculate the remainder when 89 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - l**2 - 1. Let a be t(-2). Suppose 2*x - 3 = 3*x + a*d, -d = -x + 1. Solve -v + p - 4 = x, 4*v + p = -p - 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41254*d**3 - 16*d**2 + 340 - 340 + 16*d**2.\nAnswer: -41254*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.2, 146?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -7. Let r = c - 9. Sort 4, -2\/3, r in descending order.\nAnswer: 4, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 2*l**2 - 3*l**2)*(18*l**3 - 12*l + 12*l).\nAnswer: 18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -48545675552\nAnswer: -48545675548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32292853*j**2 - 609051*j + 2?\nAnswer: 64585706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55880573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1065329874 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + 5*d**2 - 5*d**3 - 2 - 9*d**2 in the form i*d + h*d**2 + n*d**3 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -5*a + 4. Let l = 32 - a. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2052511 + 2041871 = -80*o for o.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21 - 6)*2\/(-3). What is the second derivative of 4*u + s*u**2 + 3*u - 3*u - 20*u**2 wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*y + 30*y - 31*y)*(-482*y + 22*y**3 + 482*y).\nAnswer: -1012*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73112*g + 1096108 wrt g.\nAnswer: 73112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7439*35.\nAnswer: -26.0365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/(sqrt(1440) - (-3*sqrt(1440) + sqrt(1440)) - sqrt(1440)))\/(sqrt(1728) + 4*sqrt(1728)*3).\nAnswer: sqrt(5)\/3744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9801 - 221187?\nAnswer: -221195.9801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 126\/21 - (-2 + -1 + -9539)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17c3 + 1?\nAnswer: 17c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.06 and -0.4?\nAnswer: 7.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 9:07 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 19*w + 107. Calculate the lowest common multiple of 1106 and q(-5).\nAnswer: 6636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + 0.06. Which is the third smallest value? (a) j (b) -1 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1563*s**2 - 4*s - 2435. Let p(w) = -3178*w**2 - 7*w - 4871. Let j(l) = -10*c(l) + 6*p(l). What is the first derivative of j(g) wrt g?\nAnswer: -6876*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 times -6598\nAnswer: -323302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(-4 - 21\/(-6)) - 4. Suppose c = -8*h + 178 + 14. Let d = h - -137. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(-1\/6)*w)*w\/(w**6\/w))**(-50))**(2\/61))**20 assuming w is positive.\nAnswer: w**(29000\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*z - 69*z + 26*z + 33*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 5:32 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 3:45 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 671198 + -37589941\/56. Let i = a + 305\/7. Find the common denominator of -7\/18 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 3. Suppose 5*b - 39 = -2*p, -4*p - 5*b + 111 = 18. Calculate the lowest common multiple of w(3) and p.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*d, -2*j + j = -4. Suppose -25*k + 28*k - 11 = 5*m, -d*m - 6 = -k. Solve 2*w = 10, 6 + 7 = -k*p + 3*w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 21 = -d, -4*d - 46*o - 630 = -149*o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, -53, -91, -143, -209?\n\"Answer: -7*a**2 - 3*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/g*g*g**(4\/7))**(-7\/2)*((g**(-1\/9)\/g)\/g*(g**(2\/23)\/g)\/g)**(-5\/14) assuming g is positive.\nAnswer: g**(-8927\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/2*-1)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9159 - -9067.61. Let x = t - -92. Let g = -0.39 - x. Sort g, 3\/7, -4 in increasing order.\nAnswer: -4, g, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxsssxssssss. Give prob of sequence ssxx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140\/(-21)*(-18)\/15 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8615.174mm to kilometers.\nAnswer: 0.008615174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32328 + 64656. Let c be ((-8)\/28)\/(n\/6538). Let q = 1\/449 + c. Do q and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1379337 is divided by 44491.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 0.1 (c) -1 (d) 0 (e) -3 (f) 18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -276 by -23.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/(-16))\/((3\/4)\/(-3)). Solve -o*f + 2 = 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 - 220585*d - 37136060 = 0 for d.\nAnswer: -43948, -169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, -4\/7, 0.1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 67. Suppose 70 = -18*z + u*z. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*((h\/(h**7\/h*h))\/h)\/h)*h))**(-20))**(-16\/5) assuming h is positive.\nAnswer: h**(-512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*y, -r = -2*r - y + 6. Suppose -4*n - 56 = -w + 16, 0 = -r*w. Let k be 1\/(-4) - n\/8. Solve -6*m = -k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8431.0804*4.\nAnswer: -33724.3216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 + 1186380*t**3 - 21356055*t**2 + 96104070*t.\nAnswer: 5*t*(t - 9)**2*(t + 237294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d - 12*d + 3*v + 1, -3 = d + v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) 187.68 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 10:50 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -13. Suppose 4*z + 454 = p - 246, 2*z + f*p = -336. Let q = z - -379. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 22 = 7. Suppose 0 = 5*z - 5*v - 10, -4 = m*z + 3*v + 10. Let r(k) be the second derivative of -k**3\/3 - k**2\/2 + 39*k. Determine r(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 3*v - 24*w, 3*v - 190 + 184 = 3*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (13 - 34) + 25 - -11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -18. What is the closest to 1 in -5, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 52 - 49, -3*z = k + 2304. Let m = k + 2316. Suppose 0*f**2 + 0 - 2\/19*f**m + 2\/19*f**4 + 0*f = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 22 = -4*s, 5*c - 72*s + 67*s = 35. Suppose 3*i - t = 6*i - 139, -c*t - 51 = -i. What is the greatest common divisor of 141 and i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 3*l + 2. Let a be c(2). Suppose 5*n - 18 - 22 = a. What is the remainder when 23 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 times -0.3592?\nAnswer: -29.8136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/14 and -17\/17360.\nAnswer: 17360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -100, -139, -220, -349, -532, -775, -1084?\n\"Answer: -z**3 - 15*z**2 + 13*z - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 23.4. Suppose 17*m + 180 = 15*m. Let g be 3\/5 - (-84)\/m. Which is the biggest value? (a) 0.4 (b) g (c) -3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 2*h - h)*(4*h - h - 2*h) + 5*h**2 - 3*h**2 - 6*h**2 + (h**2 + 5*h**2 - 2*h**2)*(-18 + 27 - 29) to l*h**2 + w + r*h and give l.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from czhrh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)\/g)**13*g**5*g*g**(-2\/9) assuming g is positive.\nAnswer: g**(-377\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64127273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -2)\/(3\/(-45)). Let i = m + 25. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3534295.5 microseconds in hours?\nAnswer: 0.00098174875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l + 19*l + 9 + 5*l + 6*l - 16*l to f + o*l and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-73)\/25 - -3 - (4068\/225 + -36)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*x = -195*x - 25, -4*p + 5*x = -41. Let j(c) = 4*c**3 + 4. Let g(y) be the third derivative of y**6\/30 + 5*y**3\/6 + 4*y**2. Give p*g(u) - 5*j(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*d = -13, -2*d + 14 = 2*z + 4. Suppose z*q = 4*q - 8. Solve -4*f + 4*m = m - 4, 2*m = q*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)\/sqrt(4) - (sqrt(112)*-2)**2.\nAnswer: -448 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -19*b + 47*b - 10 - 26*b + 3. Let d(z) = -1. Calculate 6*d(t) - j(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/16 - (-5)\/(-180). Let -8\/9 + 8\/9*b - p*b**2 = 0. What is b?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 52) + -4 + 18 + -15?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 12*d**3 - 167*d**2 - 8*d - 82. Let q be t(14). Solve -q*x - 2 = 0, 3*x = 4*l - 2*x - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of ((-153)\/(-3))\/((819\/2054)\/21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 185*t**2 - 3588*t - 53. Calculate l(-22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3796 (b) 7\/5 (c) -1.8 (d) -0.4 (e) 2 (f) -0.1 (g) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24470 + 14?\nAnswer: -2445a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 - 6*j. Let l(r) = -9*r**2 + 11*r. Let x(i) = 6*l(i) + 11*o(i). Let v(g) = 5*g**2. Give x(v(w)).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 - d**2 + 2*d + 5. Let x be c(3). Let k = x + 103. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/219037 and -43\/286433.\nAnswer: 3723629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 j, and 1 f when three letters picked without replacement from ifxpgfj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2\/3 + 8312867*x + 49877198\/3 = 0.\nAnswer: -24938599, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.0729 times 2\nAnswer: -0.1458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -89, 56, 309, 670?\n\"Answer: 54*w**2 - 17*w - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1025940131 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76 - 1415176?\nAnswer: -1415263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 7 + -15 - -28.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 4:53 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 291 + -158. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71345603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a - 48*a + 6819215 = -8*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 34*b**2 + b + 29. Determine x(-34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 1044*w**2 - 90828*w + 2634012.\nAnswer: -4*(w - 87)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 6:08 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**3*v + 154501*p**3 + 93284*p*v wrt v?\nAnswer: -p**3 + 93284*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*t = -27974, 35 - 43 = 4*t. Is 38 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 - 12*s + 46. Determine k(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 22 = 2*b + 24, -4*b - 60 = -2*o. Let n = b - -19. Factor n*m + m**3 + 2*m**2 + 2*m - 6*m**2 - 5*m**3 + 4.\nAnswer: -4*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 23551*m + m**2 + 172*m**3 - 141*m**3 - 33*m**3 - 1 as y*m**2 + x*m**3 + p + v*m and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -48370*f + 48895. What is c(1)?\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -196739 and -196739 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-24)*53\/(-265)*24\/900*140.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 + -433\/6. Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 15. Let x be v(-10). Suppose -3*t + 27 = x*y - 48, 0 = 3*t. Let q(a) = a - 15. Let j be q(y). Solve j*g - g = 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-4 - -5)*-1). Let y(r) = 133*r**2 + 56. Let m(v) = -7*v**2 - 3. Suppose -8*s = 522 - 74. Calculate j*y(p) + s*m(p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(200)*3 + -5 + sqrt(200) - sqrt(200) - (sqrt(200) - ((sqrt(200) - sqrt(200)*2) + -2))))**2.\nAnswer: -240*sqrt(2) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 360.3912 seconds to nanoseconds.\nAnswer: 360391200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40236 + -5?\nAnswer: -40244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/(6*(-2)\/16).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 357 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.097 - 0.303. Let g = 1.6 + 0.4. Let z = g + -3. Sort 2, z, r in decreasing order.\nAnswer: 2, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47773513 at least -47773516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433 + 861 + 5*z**3 - 428.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -11.8. Let r = j + 0.7. Let m be (5\/(-2))\/(3\/(-6)). Which is the smallest value? (a) 0.5 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 702413, 2809633, 6321669, 11238527, 17560213, 25286733?\n\"Answer: s**3 + 702402*s**2 + 7*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28089.4 + -0.6?\nAnswer: 28088.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 16, -2*h + 3*m = -0*h - 20. Suppose -w + 2*l - 404 = -3*w, -3*w - h*l + 602 = 0. Is 28 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7028)\/(-6526)*65\/(-4).\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654 is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 12:00 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2. Let i(h) be the third derivative of 461*h**4\/12 - 112*h**2 - 5. What is i(s(u))?\nAnswer: -2766*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46022 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.004 + 1.05. Let i = n - 0.146. Put 4, 2\/13, -2, i in descending order.\nAnswer: 4, 2\/13, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2912*u - 101. What is the thousands digit of p(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138 - -90. Let j = 81 + t. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/9 + 736*r**4\/9 - 39494*r**3\/3 + 4728304*r**2\/9 - 56888608*r\/9 = 0.\nAnswer: -497, 0, 28, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1149 = 67*t - 5698 - 4630. What is the closest to -2\/7 in 5\/3, 0.4, t, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 1\/2*p**3 - 3\/2*p**2 + 8*p + 0. Give b(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + 0 + -7 - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1170553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1574890 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*q + 61977 - 9401 = -121*q. Is -980 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/1035 - -2083\/13455. Let d(x) be the first derivative of 1\/13*x**2 + 0*x + 3\/26*x**4 + 18 + m*x**3 + 2\/65*x**5. Determine w so that d(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**2 - 1261*o - 96. Let m(t) = -11*t**2 - 2523*t - 208. Let j(i) = -6*m(i) + 13*p(i). Let a(f) = -f. Give a(j(z)).\nAnswer: -z**2 + 1255*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36*(-11)\/22*2\/(-28)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a century in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, c: 11}. Give prob of picking 3 c.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 32*f. Give a(2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(18)*-3 + 3.\nAnswer: -9*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/18 (b) 2\/3 (c) -0.04 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7299 + 7299 + 15*d**3 - 13*d**3 + 7*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 740\/(-2 - -4). Let y = 771 + s. Is y a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3173096018.\nAnswer: 2, 383, 4142423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 5*j - j)*(0 - 2 - 1)*(-5*j + 2*j - 6*j) to d*j + g + q*j**2 and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 23.77893 millimeters?\nAnswer: 23778930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645\/(-21)*18\/90*-3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -16?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 6*z**2 - 6*z + 6. What are the prime factors of v(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.79 in -7, 7, 0.4, -1, -2\/17?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87493501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/77, 77\/5, 0.4, 0 in increasing order.\nAnswer: 0, 2\/77, 0.4, 77\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**5 + m**4 - m**2 - m + 1. Let l(y) = y**5 + 22*y**4 - 42*y**3 + 44*y**2 - 31*y + 10. Let w(d) = 4*i(d) - l(d). Suppose w(h) = 0. Calculate h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2 - 923*b - 923. Determine z(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -2. Let i(q) = q**2 - 7*q + 15. Let n be i(7). Suppose -2*t - t = -5*c + 26, -5*t = -n. Calculate the remainder when m is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjr when three letters picked without replacement from {j: 1, x: 1, r: 5, m: 1, z: 1}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*y - 213*y + 35*y - 44*y + 57*y + 47*y.\nAnswer: -177*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-30)*-10*-100. What is the highest common factor of z and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43941 times 605?\nAnswer: -26584305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/9 + 12442*m\/9 - 99152\/3 = 0 for m.\nAnswer: 24, 6197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11664 and 972.\nAnswer: 11664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1612*f - 1630*f - 481 + 2119. What is the remainder when 904 is divided by f?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 889 - r - 945)*(-6 + 2*r + 6).\nAnswer: -4*r**2 - 112*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61793, -123581, -185361, -247133, -308897, -370653?\nAnswer: -432401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9300, -18605, -27908, -37209, -46508?\n\"Answer: b**2 - 9308*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 9.2 (b) -13.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 401152 - 401152 - 8227*y to j*y + l and give j.\nAnswer: -8227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 225885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -337, -673, -1009, -1345, -1681?\nAnswer: -2017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 - 59. Let h(j) = -5*j + 95. Let z be h(19). Suppose 2*v + 14 = 2*y, y - 4*v - 7 + 0 = z. What is the highest common factor of y and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1.0889112?\nAnswer: 1.0889112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7676 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/14782 and -21\/152.\nAnswer: 59128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348 = -38*r - 44 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3670, -14689, -33054, -58765?\nAnswer: -91822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60534181 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.38 - -8.4. Suppose -1 + 0 = n - p, -4*n = 4*p + 4. Sort n, s, 5\/3.\nAnswer: n, s, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -6. Suppose -5*x = 3*w + 8 - 117, w - 4*x - 59 = 0. Let t = w - p. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 8*l + 64, 1398*s - 18 = 1398*s - 3*l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62\/(-6) + 9\/27. Let n = y + 7. Let z = n - -18. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 678 + -1480. Let u = k - -802. Solve u = -n - 2*n + 2*v + 17, -4*v + 21 = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128280 divided by 25656?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 135361547 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96857?\nAnswer: 96857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/653 and -39\/2612?\nAnswer: 2612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.54 - 5.54. Let i = -10.4 + 10. Let a = -0.4 - i. What is the third biggest value in x, a, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**4 - 6311 + 6317 - v - v**4 - v**2 + (-v**2 + v**2 - v**2)*(-2*v**2 - 2*v + 2*v) + 2*v**4 + v**4 - v**4.\nAnswer: -3*v**4 - v**2 - v + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75)*-2 - -3*(sqrt(12))**2.\nAnswer: -10*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(5) + 4).\nAnswer: -15 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*m**2 + 20*m**2 + 5*m**5 + (m**3 + 3*m**3 - 2*m**3)*(10 - 10 - 14*m**2).\nAnswer: -23*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 3*z**2 + 9*z**2)*(-3*z**3 - 2*z**3 + z**3) + 3*z**5 - z**5 + z**5.\nAnswer: -13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 39)*64\/(-24). Suppose -y = 3*n - 7*n. Find the second derivative of -n*c - 6*c - 13*c**2 - 3*c + 57*c**2 wrt c.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2788 - 2784. Let b(k) be the first derivative of 0*k - 17 + 0*k**5 + 0*k**2 + 2\/3*k**6 + 0*k**i - 13\/3*k**3. Find the third derivative of b(q) wrt q.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299.7 - 2319818.\nAnswer: -2320117.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50029 and 80752?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(324) - -3*sqrt(324)*-2)\/sqrt(12))\/((-2*sqrt(144) - (sqrt(99) - 1*sqrt(99))\/sqrt(11))*-6).\nAnswer: 5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h. Let j(z) = 3*z - 1. Let m be j(1). Let g(y) = -3*y + 2*y + m*y + 2*y. Give w(g(s)).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-6) + (-3710)\/(-636). Put -9, f, -5 in descending order.\nAnswer: f, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113916121 divided by -11.\nAnswer: 10356011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278474*14.\nAnswer: 3898636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93485?\nAnswer: 5, 7, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1831 is divided by 130?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 46*y - 51*y - 86410 = 0, -21583 = -f - 2*y. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5 - 11*a - 5 - 7. Let z(v) be the second derivative of -v + 3*v**3 - 2*v**3 + 4*v**2 + 2*v - 2*v**2. Give 4*o(h) + 7*z(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718 is divided by 181.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 2*u + 2. Let l be 3 - (18\/(-63) - (-348)\/42). Determine m(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 2. Suppose 17 = -4*o + 1. Let y be r(o). Are y and -2 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52571, -420831, -1420369, -3366821, -6575823, -11363011?\nAnswer: -18044021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -61e + -596e?\nAnswer: -5f8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18317 + -7243. What is the greatest common factor of t and 452?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 280.6\nAnswer: 280.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 4*x = 26, 0*g - 1132*x + 1138*x - 18 = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22941, 91567, 205937, 366045, 571885, 823451, 1120737?\n\"Answer: -x**3 + 22878*x**2 - x + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 8:35 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40634, -81140, -121646, -162152, -202658?\nAnswer: -243164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjypjqqp. Give prob of picking 2 p and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*(4 - (4 - (11 - 4))). Suppose -2*h - f = -11*h. Suppose 11*q - 20 = h*q. Solve -q*r - 10 = 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in 1769.1, 2\/9, 7, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163713247.\nAnswer: 17, 103, 93497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n. Suppose 0*s + 1 = -s + o, 3*s - 9 = -o. Suppose 4*k + s*y - 12 = 0, -16 = 4*k - 2*y - 3*y. Put k, 4, n in descending order.\nAnswer: 4, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - 2*v**3 + 4*v**3)*(-7 + 4 - 3) + 91*v**3 - 29*v**3 + 56*v**3.\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 + 97. Is (-45)\/w - 5 - 813\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28.6, 0.08, -9, -4 in ascending order.\nAnswer: -9, -4, 0.08, 28.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 182\/(-6 - 1 - -5). Let z = k - -119. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/((-8671)\/552)*13?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -89*o**2 - 6*o + 2. Let z be f(-5). Let t = 6641\/3 + z. Let p = t - 21. Sort 3, p, 1 in descending order.\nAnswer: 3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -320 - -320. What is the closest to q in -0.5, 2\/9, 3\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Let z = -4 + y. Let m be 1\/2*2 + z. Solve m = f - 0*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-91)\/(-39) + 2\/(-6). Put -1, 33, 0, l in decreasing order.\nAnswer: 33, l, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 + 224*i**2 - 367*i**2 + 652*i + 145*i**2 - 12*i**3 to the form h*i**3 + l*i**2 + r + k*i and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - (49 + (-4 + -2 - -4) + 14)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 8:21 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203300 + -13023412?\nAnswer: -12320112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 0*m - 15. Suppose -4 = -b - m*b. Let n be 4700001 - (b - 1 - -1). Round n to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 43 = 5*z - 12*f, 4640 - 4651 = 3*z - f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 (base 13) in base 12?\nAnswer: -1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 y when three letters picked without replacement from {y: 2, x: 1, d: 2, n: 6}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 139*q**3 - 8*q**2 + 23*q - 27. What is the remainder when d(5) is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17846850 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -292*l - 121*l + 4956 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2036 + 27*q**3 - q**2 + 2036 + (2*q**2 - 2*q**2 + 2*q**2)*(1 - 2*q - 1) to g + m*q**2 + c*q + r*q**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-29)\/1)\/(19\/(-19)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 240379100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.2, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*y - 70*y + 13*y**4 - y**3 - 4*y**4 to n*y**3 + q*y + k*y**2 + t + f*y**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 19*w + 25. Let s(r) = 29*r + 37. Suppose -18*z = -15*z - 21. Let q(c) = z*i(c) - 5*s(c). Does 13 divide q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 10:36 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 410? (a) -6\/37 (b) 4\/3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i + 66. Suppose -4*c - 16 = 130*n - 132*n, 6*c - 96 = -3*n. Calculate t(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2572425 divided by -65.\nAnswer: -514485\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 544327329 to the nearest integer?\nAnswer: 23331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3) + (10 - 18)\/40.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*x + 102943 + 22793 = -5333*x for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 14274.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153402, -307503, -461604, -615705, -769806, -923907?\nAnswer: -1078008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -562, -2209, -5506, -11011, -19282?\n\"Answer: -93*k**3 + 12*k**2 + 60*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132*g*v**2 - g + 201*v**3 - 18*v**2 + 96054 wrt v.\nAnswer: 264*g*v + 603*v**2 - 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 less than or equal to 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 85.013? (a) 0.4 (b) -1\/4 (c) -2 (d) -3\/2 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 549\/(-7) - 3\/(-7). Let s be (i\/(-12) - -3)\/((-2)\/(-4)). Let y(k) = s*k**2 + 11*k**2 - 32*k**2. Let z(n) = -25*n**2. What is y(z(l))?\nAnswer: -1250*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163011, -162952, -162893?\nAnswer: -162834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -499, 0.2, 7, -1\/4, -27, -3, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000127596833 rounded to 6 dps?\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/11 + 9457*g\/11 + 28362\/11 = 0. What is g?\nAnswer: -9454, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(399\/(-28))*(-15)\/(-110)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8330417 is divided by 495?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 137887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 120 - 160. Suppose -a + 0 = -6. Is c not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2901 - -175. List the prime factors of v.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-10)*(-36)\/(-42)*(-3)\/9.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 172050 - 4?\nAnswer: 17204b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2525*v - 6815*v + 196140 = 0 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -0.2 (c) -7 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8784 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 2*x - x + x + 1 - 1 + x + 2*x - 2*x + x - 3 + 3 - x + x - x + (-1 + 2 + 1)*(-1 + 1 + 2*x) - 3*x - 3*x + 4*x + 3 + x - 3 - 3*x - 2*x + 4*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5*x + 14 = -0*x, u = x + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33434\/9051 - -3\/862. Find the common denominator of d and 169\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5 - 3958377*v**4 - 7916758*v**3 = 0 for v.\nAnswer: -2, 0, 3958379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -14847\nAnswer: 4454.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/257 in 1, 2\/35, 2\/3?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4177937 is divided by 117?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -5*x + 92947 - 93012, -z - 40 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.142138657 - 0.5?\nAnswer: -5.642138657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 1. Let d(f) = 2*f**2 + 6*f + 4. Let j(t) = d(t) + 2*u(t). Let b be j(-2). What are the prime factors of (6 - b) + 0 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 132975 or -330?\nAnswer: 132975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5662\/(-6705) - 4\/(-10).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368947759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 153 = -5*l, 2*z + 2*l - 80 = -2*l. Let b = z - 25. Suppose -y - b = -4*q, -26 + 6 = 4*y. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-5))\/((-1)\/3). Suppose x*s - 253 = 2*s. What is the highest common factor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 606 - 247. Suppose -x - 3*x - 440 = 0. Find the common denominator of n\/x - 2\/(-5) and -89\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**4 - 16 - 29*m**2 - 6*m + 41*m**2 - 14*m + 20*m**3 = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 24*g**2 - 13*g - 4. Let i(t) = t + 4. Let m be i(-6). Let w(k) = 8*k**2 - 4*k - 1. Let c(q) = m*v(q) + 7*w(q). Suppose 2 = -3*p + 5. Give c(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (2 + 1 + -2)) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -825*y - 2. Let p(l) = -5*l. Determine g(p(a)).\nAnswer: 4125*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5349?\nAnswer: 3, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 34*p**2 - 31*p - 141. Let h be s(-4). Calculate the highest common factor of h and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5311727 and 836389.\nAnswer: 4379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 665819 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*i + 34 = -174. Solve 2*c - 6 = 3*a, 8*a - 2 = 7*a + i*c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -1097?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -33807, -5 in increasing order.\nAnswer: -33807, -5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0756 or 116\/3?\nAnswer: 116\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65369*c**2 - 120307*c wrt c.\nAnswer: -130738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6 + 8*f - f**2 - f**2 + f**2. Let a be p(7). Does 2\/17 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + (-18)\/(49896\/4609) and 155\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657739 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 - 14\/(-6). Suppose -4*x = -2*h - 16, s*x - 2 = -h - h. Suppose c - 303 = -5*k - 3*c, -x*c - 230 = -4*k. What are the prime factors of k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 75 - 70 - (7 - 34).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 76, 85, 96?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39950 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -87, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*z = -1155, -5*r + z = -0*z - 1165. Suppose -t + 3*k = -54, -t - r = -6*t - 3*k. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 175*v + 7563. Let o be q(-43). Solve 0 = -o*u - 12*u - 450 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(119) - sqrt(119))*3*-2)\/(5*sqrt(343)*-3 + sqrt(343)).\nAnswer: 3*sqrt(17)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29075.\nAnswer: 5, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8272? (a) 20 (b) -172 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1277 - -9132. Is l 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 4:31 AM and 3:17 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3*c - 8)*(5 + 1 - 4) - 19 + 35 - 5 - 7*c.\nAnswer: -c + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 138868382 to the power of 1\/2, to the nearest integer?\nAnswer: 11784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*l**3 - 86*l**3 + 2*l**2 - 1001*l + 886*l as b*l**2 + c*l + m + a*l**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5 + (-9 + -6 - (-1508)\/145). Sort -127, u, -4 in descending order.\nAnswer: -4, u, -127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -1 + 0)\/(117\/(-234)). What is the fourth biggest value in 13, -3, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 1:30 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 19*d**2 + 39*d - 17. Let u(v) = 18*v**3 - 2*v**2 + v. Let x be u(1). Let b be o(x). Are b and 69 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**2 + 11*r + 3. Give t(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0567008+0.28\nAnswer: 0.2232992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*l + 51, 4*t - 60 = -5*l + 9. Suppose -2*y = -2*b, 5*b + 5*y = 3*y + t. Let o = -257.1 - -256.6. What is the biggest value in o, -1\/9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1047597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67090?\nAnswer: 2, 5, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + (sqrt(176) - (sqrt(176) - (1 + sqrt(176) + 4))) + sqrt(176))**2 + -2 - 6*sqrt(55)\/((sqrt(55)\/sqrt(11) + sqrt(5))*-6).\nAnswer: 241*sqrt(11)\/2 + 1607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*n + 117*n = -x - 20, -3*n - 4*x = 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 681622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = v + 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 8. Suppose -2*y - 4*c = 4, t*y + 2*y - 4*c = 4. Solve y = -z - 2*z + 12, -p - 5*z = -20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 + 2*b**2 + 2*b + 1. Give c(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**2 + j**3 - 4*j**2 - 2*j**4 - 14*j**2 + 22*j**2 in the form h*j**4 + u*j**2 + s*j + x + z*j**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3478, -3502, -3542, -3598, -3670?\nAnswer: -3758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.63 times -4\nAnswer: -6.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3 (b) 2\/5 (c) 0.3 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 6*o. Let x(a) be the second derivative of -a**5\/10 - a**4\/12 + 7*a**3\/6 - 413*a - 2. Let d = 5 + -7. Calculate d*x(n) - 3*p(n).\nAnswer: -2*n**3 + 2*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2248222, 2248362, 2248502?\n\"Answer: 140*t + 2248082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**4\/6 - 26*m**2 + 65*m. Let z(p) = 1663*p**2. Determine z(u(q)).\nAnswer: 26608*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*i = -662 - 4630 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*k + 14*k + 16. Let n(r) = -5*r**2 + 25*r. Let u(w) = w**2 - 6*w. Let y(c) = k*n(c) + 18*u(c). Factor y(t).\nAnswer: -2*t*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j + 3. Let s(c) be the third derivative of -c**4\/24 - 40*c**2. Give l(s(h)).\nAnswer: -6*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12222 (base 3) in base 16?\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 + -131. Suppose -3*w + 4*l = -21, -o*w - l = 3*l. Let q(j) = j**3 - 2*j**2 - 5*j + 3. Determine q(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + ((-12)\/(-76))\/((-3)\/2). Sort s, -1\/4, 0, 2 in ascending order.\nAnswer: -1\/4, s, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37763000 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 121 = -2*y, -4*y + 138 = 4*m - 354. Let l = m + 15. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1982 - -3.1982. Let u = -52 + 53. What is the closest to y in u, 4, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 5*k**2 + 3*k - 5. Let w be q(5). Let j = w + 6. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 + 9*r + 0*r**3 - 2*r**4 - 12*r in the form u*r + y*r**4 + w*r**2 + d + f*r**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 3*m + 9. Let d(i) = m*i + 2*i - 5*i + 4*i. Let p(q) = 6*q. Calculate d(p(y)).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47058589 to the power of 1\/2, to the nearest integer?\nAnswer: 6860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwjoss. What is prob of picking 1 o and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 20. Suppose r + 6 = -2*y, y - 12 = -0*r + 2*r. Calculate a(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 37 - 42 = -4*l, x - 2*l = 27. Find the third derivative of 71*f**3 - 81*f**3 + x*f**3 - 3*f**6 + 138*f**2 wrt f.\nAnswer: -360*f**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 12*h - 7. Let c = 3 - 16. Let l be q(c). What are the prime factors of (410\/(-15))\/((-4)\/l)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -916*s**4 - 5*s**3 + 363. Let c(i) = -5*i**4 - i**3 + 1. Let t(u) = 5*c(u) - f(u). What is the derivative of t(h) wrt h?\nAnswer: 3564*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 less than 0.500198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z - 3*z + 4*z)*(-2494*z + 1236*z + 1242*z + 211) to r + o*z + l*z**2 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/30*(-4)\/(-12))\/(51\/(-18)).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6992.497 plus 432?\nAnswer: -6560.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/(-2))\/(1\/2). Let s(r) = -4*r + 57. Let w be s(12). What is the first derivative of -5 - p**3 + f - w wrt p?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5687\/742 - 39\/53. Find the common denominator of -61\/8 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 + 0.08. Let l = f + 2.97. Let s = -0.3 - -0.2. Sort s, -0.3, l in descending order.\nAnswer: l, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18 and -11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17115?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 115.14 and 17.\nAnswer: 1957.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 7*o - 5. Suppose 5*j + 107 = o*w, 0 = -4*w - 3*j - 88 + 237. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 42.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((72\/(-42))\/2)\/(8\/4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 7*y. Let n(s) = -2*s**2 + s - 8. Let q be n(y). Let h = 49 - q. List the prime factors of h.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 136. Calculate the remainder when y is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -600, -20 in ascending order.\nAnswer: -600, -20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13958 divided by 13958?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 166\/(-6)*(-1)\/11. Let f = o - 24\/11. Let w = -3200 + 3200. Sort f, 0.5, w in increasing order.\nAnswer: w, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -17\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7679.801909 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(3\/4)*a)\/a*a**(1\/5))\/(a\/(a\/a**(-2\/35))*a**(-2\/9)\/a) assuming a is positive.\nAnswer: a**(4069\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 3 + 1)*(0 - 3 + 5) - 132 - 75 - 149)*(-11*y**2 - 30*y + y**3 + 30*y) to the form t*y**3 + k + l*y + o*y**2 and give t.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2\/13*t**2 + 192\/13 - 58\/13*t = 0?\nAnswer: -32, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueeaueeyyubuuayuubab. Give prob of sequence bbu.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10344, -10440, -10514, -10566, -10596, -10604?\n\"Answer: 11*f**2 - 129*f - 10226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/9)\/(8\/(-30)). Let c(b) = b**3 - 10*b**2 + b - 5. Let i be c(10). Suppose 0 = 5*g - 10, -u + 5 = 4*u + i*g. Is u at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18839317 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2 + 6 + 1 - 15*g. Suppose m - 5*m = 16. Is s(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -14, 481, -8, 7 in descending order.\nAnswer: 481, 7, 1, -5, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 5. Suppose -4*q + d = o + 29, -43 = 4*q + d. Let a = q + 40. What is the remainder when 119 is divided by a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 136\/56 - 6\/14. Let z be (2 - 4)*2\/(-2). Is b at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 4. Let y be u(0). Let w(a) = -y - 2 + 7 - 4 - a. What is w(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69487921.\nAnswer: 19, 3657259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.1 (b) -0.5 (c) 0.4 (d) 115048 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22d2 (base 16) to base 14.\nAnswer: -336a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ual when three letters picked without replacement from {u: 3, a: 4, g: 1, l: 4, o: 1}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/16? (a) 4 (b) -3 (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/j**(-1\/2)*j))\/(j*j*j\/j**(1\/6))*(j*j**(-1))**(16\/7))**(-28) assuming j is positive.\nAnswer: j**(448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5636 = 472*h - 16009 - 29275. What is the greatest common divisor of 322 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (325\/22750)\/(6\/(-30)*-2)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -524.55?\nAnswer: 52.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4597647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1618, 2\/3, 22, -4?\nAnswer: -1618","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6724 + 6924. What is the lowest common multiple of 400 and q?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 16*n**2 - 11*n + 11. Calculate t(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4)*-146)\/(((-12467)\/182)\/137)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**3 - 17*u**2 - 191*u - 127. What is the ten thousands digit of r(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.92634 meters to kilometers.\nAnswer: 0.08692634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377062 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + ((-4)\/(-1))\/4. Let t be r*(-6)\/27*12. Suppose 71 = l + t. Calculate the highest common divisor of 42 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268719990?\nAnswer: 2, 3, 5, 7, 11, 116329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115.923 - -116. Let l = -0.177 + c. Let y = -79 - -82. Put l, -0.6, y in descending order.\nAnswer: y, l, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.7508 + -0.0492. What is the nearest to 0.1 in -2\/5, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/107?\nAnswer: 5\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 131\/10 (c) -30 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.609561l in millilitres?\nAnswer: 3609.561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8511 + -19600832\/2303. Does g = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 1232?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - 109. Let p = -140 - o. Suppose -72 = -5*l - 17. Calculate the greatest common divisor of p and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o = -44. Let l = o - -13. Suppose l*p + 7*p = 684. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, -2\/3, -8, -2, 0.065, 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 5*j**2 - 3*j + 3. Let w be t(6). Let a be 36\/(-15 - 429\/(-26)). Suppose -w*g + a*g = 3. Let u(r) = -7*r**2 - r + 1. Determine u(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502478.\nAnswer: 2, 277, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*p - 8. Suppose i + i = p. Let q = 0.323 + -0.023. Sort q, i, -2\/17 in increasing order.\nAnswer: -2\/17, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69328 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: Simplify (k**(-2\/13))**(-1\/4) assuming k is positive.\nAnswer: k**(1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11321 - 0?\nAnswer: -11321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-2)*(16\/240)\/(4*4\/(-320))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2. Let m(a) be the third derivative of -108*a**2 - 17\/4*a**4 + 0*a**3 + 0 + 0*a. Give p(m(i)).\nAnswer: 10404*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i + 6. Let p be d(-1). Suppose 17*r - 8*r - 252 = p. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3 - -2.4. Let w(c) = c - 7. Let s be w(4). Put s, -0.3, l in descending order.\nAnswer: l, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000693189673 rounded to seven decimal places?\nAnswer: -0.0000693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14749\/4 - -3713. Let u = 26 - l. Let n = -1 + 1. What is the third smallest value in -4, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = y + 11. Suppose y = 5*n + 2. Calculate the least common multiple of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.9 - -8. Suppose 0 = z - 12 + 17. Which is the closest to u? (a) -0.5 (b) -4\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/(-3) - (-66 - -61). What is the third biggest value in 0.4, b, 0, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 6*l**2 + 9*l + 8. Let c = 17 + -24. Give x(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134 - -138. Suppose 5*o + 4*x = 14, 0 = s*o - x - 3 - 4. Solve -4*k = 4*n, -o*n = 5*k - 2 - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 168*z + 15*z + 209 + 82*z + 129 - 13*z with respect to z.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57*-1925.\nAnswer: -109725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7553781?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 - 326 = 88*k + 38 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5 = 2*l, -4*l + 5 = -5*v - 7*l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.186477 times -3906?\nAnswer: 728.379162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 h, and 1 c when four letters picked without replacement from {h: 6, c: 5, s: 3, z: 3}.\nAnswer: 45\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 68\/5, 4, -3\/4 in ascending order.\nAnswer: -3\/4, 4, 5, 68\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 2*z**3 + 4*z**2)*(4*z + 13 - 13)*(4 + 0 - 2)*(-z - 3*z - 2*z).\nAnswer: -96*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**3 + 6*c**2 - 5*c + 6. Let r be h(3). Let d = -43 - r. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2424244 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.10017 rounded to two decimal places?\nAnswer: -62.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3480 - -4988. Suppose -x = -35*v + 9*v. Calculate the least common multiple of 2 and v.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of 102150 and -51392.\nAnswer: 50758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -209*k**6\/120 - 847*k**3\/6 - 397*k**2. What is the derivative of b(t) wrt t?\nAnswer: -627*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 4:22 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000326 to 6 dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3947 + -3942. Let x = -6 - -10. Suppose -3*k = 5*r - x*k - 17, -5*k = -5*r + 25. Solve -r*o + c = -8*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197951250 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69 - -70) + (1 - 5) + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 1:08 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*d + 169326 - 8991. List the prime factors of d.\nAnswer: 3, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1672 = -7*m - 37*m. Calculate the greatest common divisor of m and 836.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(-1\/2)\/y)\/y)**(5\/13)\/(y**5\/y**2))\/(y\/y**0*(y*y**(-5)*y)\/y*y*(y**(2\/7)*y*y)**(8\/9)) assuming y is positive.\nAnswer: y**(-5281\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 81*j**2 - 4*j - 6. Let s(f) = 82*f**2 - 3*f - 5. Let r(w) = -4*c(w) + 5*s(w). Calculate the remainder when r(1) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 436 - -3?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*l + 49, l - 7 + 17 = 5*w. Let a = l + 27. Let j be 4\/14 - a\/(-7). Let o(x) = x**3 - x**2 + 2*x + 1. Determine o(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b**2 - 391*b + 11. Determine s(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 253 - 163. Suppose -5*k + j = 5*r, 3*k - r - 42 = -0*k. Factor -3*d + 0*d + k*d**2 + 6 + 18*d**2 - 36*d**2.\nAnswer: -3*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9}. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 r when three letters picked without replacement from hwrwwrrkhrwrwgwrrr?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/144 and 25\/112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 3*s**2 + 2*s**3)*(5 + 0 - 4) - 4*s**3 - 3*s + 3*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/25 of a kilometer?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 3. Find the second derivative of 30*i**3 + 3*i**4 + 2*i - 30*i**h wrt i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7961 and 285?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 5739\nAnswer: -5738.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s\/(s\/(s*s**(4\/5))*s)*s*s)\/s*s*s)\/s*s)\/s*(s\/(s\/(s\/s**(-5))))\/s*(s\/(s\/s**(1\/5)*s))\/(s**2*s))\/(s**(-1)*s**0\/s)**(-14\/9) assuming s is positive.\nAnswer: s**(17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 651, 2745, 6267, 11223, 17619, 25461, 34755, 45507?\nAnswer: 57723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/16)*s**(1\/6)\/s*s)\/(s**3\/s)**(-1\/2) assuming s is positive.\nAnswer: s**(59\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-6 + 1 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56480, 56473, 56466, 56459?\n\"Answer: -7*b + 56487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 61058?\nAnswer: 61057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -931, -0.02, 0.7, -18?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (23 - -1)\/(27\/18). Let r be (t\/340)\/((-6)\/(-15)). What is the smallest value in -1, 4, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/31, 34, 110, 1\/10, 0.2, -8?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570\/17 - (-1640)\/3485?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15460 is divided by 609?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**9\/504 - b**6\/72 + b**3 + 3*b**2. Let z(j) be the first derivative of w(j). Find the third derivative of z(l) wrt l.\nAnswer: 360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 9) + (-3)\/(24\/(-28)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 645, 646, 647, 648, 649, 650?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by 158.\nAnswer: -83\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1365 (base 7) to base 16\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4285854148, -4285854149, -4285854150, -4285854151, -4285854152, -4285854153?\nAnswer: -4285854154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2744 and 561.\nAnswer: -1539384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143 + 146. Calculate the least common multiple of 27 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539134*k**2 + 539102*k**2 - 1078232*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16334 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -14*x. Suppose 0 = 5*d - 20, -5*s + 17 = -6*s + 4*d. Let b be h(s). Suppose 7237*r - 7238*r = -35. Calculate the greatest common factor of b and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/((-360)\/54))\/((-975)\/250*10\/(-8))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.880238 millennia to centuries.\nAnswer: 8.80238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 2:57 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a factor of 4709893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + -13 + -4 - -8 - 21\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25a6aa + 1?\nAnswer: -25a6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10\/7 (b) 0.5 (c) 44 (d) -0.1 (e) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -2961*w**5\/20 - 94*w**3\/3 + w**2\/2 + w - 2253. Find the second derivative of q(x) wrt x.\nAnswer: -17766*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 5*h - 1. Let v be q(-6). Suppose -2*r - 5*o = -32, -r - v*o + 13 = -13. Let c = -8 + 9. What is the least common multiple of c and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -128 (b) 0.2 (c) 203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1 + sqrt(162) + -5 + -1*sqrt(162))**2 + (-1*(sqrt(162) + 0)**2 - 3*(sqrt(162) + -1 - sqrt(162))))*3.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162995 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251118 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124787\/72 + -3467\/2. Let t = 1\/8 + q. Which is the second biggest value? (a) 1\/3 (b) t (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 23 - 6*w**3 + 3*w**2.\nAnswer: -6*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 32*p**2 - 26*p - 4. Suppose -34 = -t - 29. List the prime factors of w(t).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(3 - 3 + 1)*(-1 - 5 + 4)*(3*f**3 + 12*f**3 + 3*f**3 + (4*f**2 - 3*f**2 - 2*f**2)*(f - 2*f + 0*f) + 2*f - 2*f - 2*f**3 - f + f + f**3).\nAnswer: 72*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 2*h**2 - h + 2. Let y = -5 - -7. Let m be q(y). Let n(x) = m*x - 5*x + 4 + 3*x. What is n(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (0 - 2)) + -8 + -3 + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 50 = 3*g, -g + 3*m + 2*m = -38. Calculate the remainder when (-3)\/1*(12 - 13)*17 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 357105.3 millilitres?\nAnswer: 357.1053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*y**4 + 61803*y**2 + 1069004*y?\nAnswer: -204*y**2 + 123606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 3, -33 in increasing order.\nAnswer: -33, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 18*u**2 + 6*u + 47. Let m be w(19). What is the common denominator of (290\/m)\/((-3)\/(-6)) and 54\/119?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1144132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {a: 1, x: 1, o: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58742 and 5074798.\nAnswer: 2554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*j**2 + 17*j**2 + 11*j**2 - 65*j**2 + 40 + 31*j**2 - 3*j in the form u*j + v + c*j**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -1301.\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, e: 1, l: 1}. What is prob of sequence lulu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, u: 4, q: 1, o: 4, j: 1}. What is prob of picking 2 u and 1 o?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 780?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652045 + 652045 + 7*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1)\/((-11)\/(-121)). Find the third derivative of 12*g**5 + 0*g**2 + 11*g**2 - 3*g**5 - u*g**5 wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4494 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.46 + 6.46. Sort 0.5, 6, r in decreasing order.\nAnswer: 6, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239653 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -649*i**3 + 651*i**3 + 2*i**4 - i**2 - 41*i - 45*i as a*i**3 + s*i + l*i**2 + m*i**4 + k and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*q + 11207*q**2 - 11207*q**2 - q**3 + 0*q**3 + 3 + 2*q**3 to the form k*q**2 + p + z*q**3 + v*q and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/sqrt(704) - (sqrt(280)\/sqrt(32) + sqrt(35)))\/((sqrt(252) + sqrt(28))\/sqrt(4) + (4*sqrt(49))\/sqrt(7)).\nAnswer: -11*sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 30 = 0, -t + 8*r = 3*r - 259301. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/8*(-4 + 6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4*p - 13 = 0, 5*c + 2*p - 70 = 4*p - 63 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 4*f = 13, -24 + 6 = -5*b + 3*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i - 5*i**3 - 5*i**3 + 3*i**2 - 6*i**2 + 1 + 6*i to the form l + a*i**3 + r*i + k*i**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*t*t*t*t**(3\/5)))*t)\/t)\/t*t*t\/(t\/t**(-3))*t*t*t*t)\/(t**(-2)*t*t**(-2\/7)) assuming t is positive.\nAnswer: t**(241\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11873, -11777, -11613, -11375, -11057, -10653, -10157, -9563?\nAnswer: -8865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-6)*10\/3. Suppose 3*f + 4*a = 75, 2*f - 76 = -y*a - 19. What is the greatest common factor of 14 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m + 6*p = -35*m + 61, 3*p + 52 = 5*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28720 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 17\/735?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (5 - 1 - (-2 - -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(2*b + 0*b + 0*b) + 2 - 2 - 2*b - 1 + 1 + 2*b - 2*b - 2*b + 5*b + (4*b - 2*b + 0*b)*(-1 - 2 + 1).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*k**6 + 6555*k**5*y**2 + 43105*k**2*y - 2*k*y**2 wrt k?\nAnswer: -1080*k**3 + 393300*k**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 11:31 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 66023802.\nAnswer: 66023802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/33 + (0 - 4\/(-22)). What is the hundreds digit of -1 - (l - 3) - -171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 11*g + 3*l - 1 + 18 = 4*l, 0 = 3*l - 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/28*4 + (-21)\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - s**2 - 3. Let f be 9\/(-3)*3*(-1)\/(-3). Determine n(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**8*d))\/(d*d\/d**7*d))\/(d*d*(d*d\/(d*d\/d**(-19)))\/d*d*d*d*d**(-6\/7)*d) assuming d is positive.\nAnswer: d**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -203 - -368. Suppose -9*q = -4*q - y. Suppose -q*s = -29*s - 32. Solve 3*u + 4 = s*u - c, -4*c = 3*u + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 9:47 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3836 - 3873.03. What is a rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x. Let p(m) = 323*m + 1. What is n(p(y))?\nAnswer: -969*y - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y - 5*o + 2 = 0, 0 = 3*y + 5*o - 6. Let z be y + (0 - (-3 - 56)). Suppose 3*k + 12 = 5*i - z, 3*i - 5*k - 47 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*c + 432 - 6, 4*c + 1624 = 4*d. Let t = d - 7621\/19. Let x = -1 - -2. Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 10 = 4*s + 8*p, 0 = -5*s + 4*p - 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633 = -5*w - h, 2*w + 15*h - 237 = 20*h. What is the smallest common multiple of w and 198?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 5\/6, -20.43, 0?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 24 = q. What is the derivative of 19 - 2 + 12*n**q - 5 wrt n?\nAnswer: 48*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 196 = -23*g. What is the remainder when g is divided by ((-30)\/4)\/(2\/(-4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgsqqlrrrlrq. Give prob of sequence rqr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x + 0 - 89*x**2 - 14\/3*x**3 + 1\/30*x**5 + 0*x**4 - 71\/60*x**6. What is the third derivative of t(a) wrt a?\nAnswer: -852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -16*c + 1. Let d = 1096 + -1095. Give f(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1056*k = 366*k - 677*k + 127131 for k.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15014217 divided by 1.\nAnswer: 15014217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -242 - -239. Let w(x) = 7*x**2 - x - 1. Calculate w(n).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = -5*m + 17680. Is 52 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71309, -142660, -214015, -285374, -356737, -428104?\n\"Answer: -2*p**2 - 71345*p + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2 - 107*n - 678 = 0.\nAnswer: -6, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251963.3 seconds to milliseconds.\nAnswer: 251963300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10)*-15)\/((-99)\/(-6)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/68 and 43\/238?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 3972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o**2 - 416*o + 420*o - 5 + 5 to the form r*o + i*o**2 + c and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Let x(m) = 6*m - 13. Let z(c) = 5*p(c) - x(c). Let i be z(9). Find the third derivative of 0*l**3 - i*l**3 + 2*l**2 + 2*l**3 wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -5 (c) 19\/32 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 4:06 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10244*m**4*y - 3*m*y - 33202*y wrt m.\nAnswer: -40976*m**3*y - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1200349 to the nearest 1000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169263.\nAnswer: 3, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) 6 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -3*x**2\/2 - 16*x + 4. Let o(s) = -s**3 - 5*s - 32. Let f(i) = -3*o(i) + 5*v(i). What is the derivative of f(t) wrt t?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m - 328. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56760*i**2 - 908161*i - 16.\nAnswer: -(i + 16)*(56760*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 + 2140*x**4 + 280764*x**3 - 1477260*x**2 - 2527200*x + 13122000 = 0 for x.\nAnswer: -270, -3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -73, -205, -401, -667, -1009, -1433?\nAnswer: -1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 j when three letters picked without replacement from {b: 6, n: 1, y: 1, m: 2, j: 4, h: 1}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 u when three letters picked without replacement from viddvvhddudu?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16.4 in 2, -1\/3, -0.27453?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107184*h + 107184*h + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*c**3)*(-3 + c**2 + 3 + 9 + 20*c**2 - 9 + (3*c + c - 2*c)*(2*c + 0*c - 5*c)).\nAnswer: 45*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*i + 108925, 13*g = 9*g - 2*i + 87140. Let d = g - 11014. Is d 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 484*q**2 + 18593*q**6 - 17930*q**6 + 1238*q**2 + q wrt q?\nAnswer: 79560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**2 + 4*j + 3. Suppose 5*x + 12 = 2*x. Let s(y) = -5*y**2 + 3*y + 2. Give x*m(d) + 5*s(d).\nAnswer: -d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0013 and -43.476.\nAnswer: -43.4773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -9. Solve -4*u - 3*q - 15 = 0, 0 = 4*u - l*u - q + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjjezjejcjjyjcy. Give prob of picking 1 s and 1 z.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 - -163\/2. Let p be (-2)\/(-6)*-1 + 312\/234. Calculate the common denominator of d and (-33)\/(-48) + (-3 - p).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, r: 1, b: 1, s: 3, t: 1, h: 2}. Give prob of sequence rtb.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u - 688. Calculate g(-56).\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10020 + 10020.004407. Round c to four decimal places.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 + 7*o - 9. Let f be t(4). Are -30 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -626 or -3131\/5?\nAnswer: -626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 21467.833?\nAnswer: 21472.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/1521 and -41\/2028?\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26586 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: Divide 42486080 by 3268160.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 58 - 5. Suppose 4*t = 27 + l. Let n(j) = -29*j**3 - j. Let d be n(-1). What is the highest common divisor of t and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-608)\/342)\/((-12)\/54)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 89*w - 1 = 86*w, -3*c = -3*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 11. Suppose -3*j + j = -5*i + 52, 5*j + 4*i + 130 = 0. Let r be 10\/j*4\/10. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*l + 30, -5*x + 24 + 37 = -4*l. Suppose -x = -4*w + 3. Suppose w*a + 2*m = -4, -5*a + m + 3*m + 8 = 0. Solve a = 2*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-560)\/224)\/((-2)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1050\/(-140)*(1 - 0).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + (-14 - -15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6590*x. Let w(b) = -12*b**2. Determine j(w(n)).\nAnswer: 79080*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k - 1. Let x = 9 + -7. Suppose r + 0*r - x = 0. What is q(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131031211 (base 4) to base 2.\nAnswer: -11101001101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 w when four letters picked without replacement from rwihzwiiiiwiwwffwh.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6227 + -622. List the prime factors of a.\nAnswer: 5, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*n + 225. Let m = n - 48. Calculate the remainder when (-8)\/m*(6 - 3\/(-2)) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 334, 732, 1278, 1966, 2790, 3744, 4822?\nAnswer: 6018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a week?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8739727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4635260 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0924052 and -1?\nAnswer: -0.0924052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450\/125*(-3)\/(27\/15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 12:32 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Let g be 1*(2 - -3*p). Solve -4*x + 3*w = -29, 5 = 3*x + x + g*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (53 - 47) + (-1 - 0) + -17.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m**3 + 17*m**2. Let j(d) = -d**3 + 3*d**2. Suppose 0 = 3*c + 14*c + 578. Give c*j(w) + 6*z(w).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**5\/60 + 19*a**4\/24 - 5*a**3\/2 + 17*a**2. Calculate the least common multiple of j(-20) and -1 + 2 - -3*1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 25*z**3 - 11*z - 11. Calculate i(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -25*l**2 + 33*l. Let w(u) = u**2. What is q(w(s))?\nAnswer: -25*s**4 + 33*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/5 - 266*g**3\/5 - 2071*g**2\/5 - 1806*g\/5.\nAnswer: -g*(g + 1)*(g + 7)*(g + 258)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/21120 and 79\/680.\nAnswer: 359040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48089835 divided by -4.\nAnswer: -48089835\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28257, -28258, -28259, -28260?\nAnswer: -28261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37532, 74969, 112406?\nAnswer: 149843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*k - 35 = 0, -3*k + 26 - 2 = 2*y. Solve -3*j + 3*m = y, -3*j - m + 9 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z*z**(1\/2)*z)\/((z\/(z**(-2\/7)\/z)*z)\/z*z)**(-12))**3 assuming z is positive.\nAnswer: z**(1803\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2812 and 1628?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5260, 0, -0.1, -3\/7?\nAnswer: -5260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -170*2\/(-5)*1?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 10*u + 10. Suppose 5*m = 5*c + 47 - 7, 0 = 4*m. What is the remainder when o(5) is divided by 6\/c*(-5 + 3 + -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263, -526, -789, -1052, -1315?\nAnswer: -1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-495)\/54 + 1*4)\/((-4044)\/(-72) - 56).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8426 - 1?\nAnswer: -8427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 820\/(-246)*(-201)\/5. Suppose 4*x - 4 = 0, -d - 4*x = 2*d - 781. Let b = d - f. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 13. Let m = -953\/4 + 230. Let l = 27\/4 + m. Which is the closest to -0.1? (a) t (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -624 + 629. Suppose m = -n, 5*s + 3*n = -n + 5. Solve s*f + 5 + 5 = -2*x, -2*x = -3*f + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8 = -0*s. Suppose -3*v = 2*v + 3*h, s*v = 2*h + 22. Solve 2*j + 1 = v*p - 3, -4*p + 8 = -4*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 437931 and 2955.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -12*y**3 - 5*y + 8. Let j(u) = 31*u**3 - u**2 + 9*u - 15. Give -5*g(n) - 2*j(n).\nAnswer: -2*n**3 + 2*n**2 + 7*n - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 32*s + 13. Let c be n(2). Let o = 175 - c. Let w = o - 98. Which is greater: 4\/23 or w?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 735*f**5 - 1330*f**4 + 555*f**3 + 120*f**2 - 80*f = 0. Calculate f.\nAnswer: -1\/3, 0, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 221\/35 + -33\/5. Suppose 65 = -6*k + 19*k. What is the nearest to -1.7 in x, 0.2, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than 2\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 + 553 = h + 3*m, 2*h + 3*m - 1496 = 0. Suppose -3*y = 3, -4*x - 5*y + 4006 = h. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 2*h + h)*(5*h + 2*h**4 - 5*h) + 695*h**5 - 9269*h**2 + 9269*h**2.\nAnswer: 707*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*m - 192574 + 217342. Is m > -6959\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/6 - 14\/(-4). Let b = -292 - -340. Suppose -4*t - d = -0*d - b, 67 = o*t + 3*d. Calculate the highest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6*-3)\/(4\/(-4)). Solve o = 2*t + 3*n + n, n = -4*t + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + 5*i - 33. Let z(f) = -f**2 + 2*f - 16. What is -2*g(y) + 5*z(y)?\nAnswer: y**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 2:54 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 28*v. Let r(j) be the third derivative of 2*j**2 + 0*j**4 + 0*j + 0*j**3 + 11\/60*j**5 + 42. What is k(r(h))?\nAnswer: 308*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -50 - -47 - (16 + -7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 - (-35 + 9\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1094 - -145. What are the prime factors of f?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 119*s**2 - 243*s + 200. Calculate o(121).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-693)\/12)\/3)\/((180\/(-96))\/(225\/30)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176094 is divided by 175803.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 528 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (95*o - 95*o + o**2)*(-598*o - 721*o - 156*o + (2 - 1 - 3)*(4*o - 5*o + 3*o)) in the form y*o**3 + a*o + d*o**2 + p and give y.\nAnswer: -1479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((n**3 - 3*n**3 + 3*n**3)*(-3 + 3 - 2) - n**3 - 2*n**3 + n**3)*(-613 + 51*n + 613) to x + w*n**3 + o*n**2 + r*n + l*n**4 and give l.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*a - 2 = -9, 0 = -2*j + 4*a - 8. Suppose j*z - 24474 = -4416. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 16. Let x be l\/7 - (-25)\/7. Find the second derivative of 2*n**4 - n - n**x + 6*n**4 + 15*n wrt n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwtt when four letters picked without replacement from uwuuywwtwwywt?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z = -3*d - 33*z - 8, -4*d + 5*z = 36 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-3*(-5)\/(-15) + 7. Let x(p) = -p**2 + 10*p - 14. Let w be x(k). Let j(n) = -n**2 + 14*n - 14. What is the remainder when j(w) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198105 divided by 6.\nAnswer: -66035\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -239, -602, -1223, -2168, -3503?\nAnswer: -5294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5}. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 + -72 + 29 + -118.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97778 (base 11) to base 3.\nAnswer: -21012210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*o = -1148, -9*c + 6*c = -3*o - 705. Solve 229*a = 453*a - c*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 6, o: 4}. What is prob of sequence wy?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, n: 5}. What is prob of sequence ppnn?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 4*x**2 + 4*x - 1. Let y be a(3). Solve 0*i + i + y = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/6*(-88)\/(-6). Suppose 0*b = -2*b + g. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29826, 28977, 28128?\n\"Answer: -849*c + 30675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (992*w**3 - w**2 + 2*w + 3*w**2 - 1002*w**3 + 4*w**3 - 2*w**3 - w**3 + (3*w**2 + 0*w**2 - w**2)*(-3*w + 3*w - 2*w))*(-4*w**2 + 5*w**2 + 0*w**2).\nAnswer: -13*w**5 + 2*w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-5 + -8) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/(1\/(-6)). What is the greatest common divisor of x and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 + -89. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 9*q - 21. What is k(-4)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 = -5*b. Let g be b + 2*27\/6. Is 7 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145385.478 minutes to weeks.\nAnswer: 14.4231625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -10. What is q rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5814 - 3377. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 3*n + 213. What is j(10)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 + 114 + (-44 - -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w = 21*w - 973636. What are the prime factors of w?\nAnswer: 2, 19, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - f - 5 = 0, 10 - 20 = 4*t + 2*f. Let v = -0.8 + 1. What is the closest to v in 0.5, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 247*b**2*h - 58*b**2 - b + h wrt h.\nAnswer: 247*b**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1807\/(-78) - -21)*6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.1 + 20.1. Let j = s + -22. Let z = j - -7. What is the third biggest value in -4, 2, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 26*b**2 - 33*b - 5. Let s be p(-1). Solve 758*n - 764*n = s for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = n + 3*p, 0 = 4*p + 16. Let l(f) = 2*f + 3. Let k be l(0). Suppose 41 = k*t - 100. What is the remainder when t is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3}. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 - 3*q**5 + 0*q**5 + (q**2 - 2*q**2 - q**2)*(4*q - 4*q + 2*q**3) - 5*q**5 - 27*q**5 - 34*q**5.\nAnswer: -75*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*p - 315*p - 58*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-28))\/(21\/((-5292)\/(-1152))))\/((-2)\/(-24))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 252800300 - 4\nAnswer: 252800296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-3)\/((-2)\/14). Let w be (2\/(-8))\/(m\/24). Let h = 4 - 9. What is the closest to 0 in w, h, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91886 or -92692?\nAnswer: -92692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vaavtiiavvtavaaaiii. Give prob of sequence tiit.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 4, -4 in increasing order.\nAnswer: -37, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3776 divide 1876426560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 749762 (b) -1\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 550*r + 878*r + 22*r + 1915*r as q*r + l and give q.\nAnswer: 3365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117*45\/35100*(12\/(-32))\/((-81)\/(-60))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2\/9 (c) -4 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - n - 80 = 0. Suppose n = b - 41. Does 24 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4761*h**3 - 966*h**2\/5 - 372*h\/5 + 24\/5.\nAnswer: 3*(15*h + 2)*(23*h - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 279 or -573?\nAnswer: -573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53305 divided by 5.\nAnswer: -10661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttgtgtsshtgffttgttg. What is prob of sequence ffs?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 8*h**2 + 7*h - 2. Let s be k(-7). Let n = 0.4 - 0.7. Let d = n + 0.24. Is d at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -699 - -9363. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1192420 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56606 = 674*g - 40430 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnnucccnccnn. What is prob of sequence nnun?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tututttttt. Give prob of sequence tuut.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + 8 + (-52)\/4. Suppose 8\/15 + 6\/5*v + 2\/15*v**3 + 4\/5*v**f = 0. Calculate v.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + 3*sqrt(104)*-3 - sqrt(104))\/(sqrt(392) + sqrt(392)*3 - sqrt(392) - sqrt(392)).\nAnswer: -9*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73\/17 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4652.\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 11:24 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439*0.02.\nAnswer: 8.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37258*h*m*o*w**2 + 2*h*m*o + 4*h*m*w - 3*h*o*w**2 + h*w + 2*m*o**2*w**2 + 2312*m*o**2 + m*w - 3*m wrt w?\nAnswer: 74516*h*m*o - 6*h*o + 4*m*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(-5*b + 3*b + 0*b)*(4 + 6*b - b - 4*b).\nAnswer: -4*b**2 - 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00299356098 rounded to five decimal places?\nAnswer: -0.00299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -794, 3\/2, -0.5, 72, 2\/17, 0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c. Let k(s) = 2*s**2 - 6270*s. Calculate i(k(a)).\nAnswer: 2*a**2 - 6270*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -0.4 (b) -239 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 3*c - 4. Let z be m(2). What is the greatest common divisor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjddjjd. Give prob of picking 2 j and 1 d.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/16 + 26\/(-4). Let m be 1 + 2\/(8\/y). Let z be ((-1 - 2) + 1)\/(-2). What is the third smallest value in m, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*l - 1 + 21, -g - l - 4 = 0. Let y be 2*(4 - (-106)\/112*g). Let k = 0.13 - 0.1. Is y >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286473 a multiple of 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203201 + -5075144.\nAnswer: -4871943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 2, 4.\nAnswer: -21, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 209079.943 rounded to the nearest ten?\nAnswer: 209080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 90*z + 182. Let b(y) = -29*y - 62. Calculate -8*b(g) - 3*w(g).\nAnswer: -38*g - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17037*r**4 + 199325 wrt r.\nAnswer: 68148*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-63)\/(-25) + -1)\/(282\/470). Determine a, given that 16\/15*a + 14\/15*a**3 + n*a**2 - 8\/15 = 0.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073046 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5226159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.188 - -27369.\nAnswer: 27360.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 919, 995, 1121, 1297, 1523, 1799, 2125?\n\"Answer: 25*y**2 + y + 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = 23*x + 5*f + 66, 4*x + f = -18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -92*v**3 - 5*v**2 - 50. Let d(x) = -46*x**3 - 2*x**2 - 25. Let t(y) = -5*d(y) + 2*r(y). What is the first derivative of t(k) wrt k?\nAnswer: 138*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5476990.\nAnswer: 2, 5, 23, 23813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z. Suppose z = t + 1, n - 42 = -2*n - 3*t. Suppose -o + 22 + 5 = 0. What is the remainder when o is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 24.06?\nAnswer: -22.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 108244 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: Round -14.5 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**5 + 265*b**4 = 0.\nAnswer: 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4615 and 2175440.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7449 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s - 7. Let a(u) = -2*u - 6. Let r(d) = 4*a(d) - 3*q(d). Suppose -4*m - y + 29 = 0, 3*m + 1 = -2*y + 29. List the prime factors of r(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10680242 and 12.\nAnswer: 64081452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 262 and 2.\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 51 - 51 + 2*h in the form t*h + z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 440 + -1264\/3. Suppose 0 = -7*m + 11*m + 76. Let h = p + m. What is the smallest value in 5, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9859*k**2*w**5 + 2320834*k**2*w - 2*k**2 - 8*k*w + 1247*w**5 wrt w?\nAnswer: -197180*k**2*w**3 + 24940*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1563552*t**3 - 1563551*t**3 - 1.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 4*w + 3. Let k(j) = j**2 - 4*j + 4. Let y(f) = -3*k(f) + 4*u(f). Find the second derivative of y(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 20, 0.4, -4, 2 in decreasing order.\nAnswer: 20, 2, 0.4, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**2\/7 + 18441*k - 775278 = 0.\nAnswer: -43071, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017100837 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-19)*o\/((o\/o**(-16))\/o))**23)**(9\/7) assuming o is positive.\nAnswer: o**(-6831\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28.765 + 0.235. Let g = n - 29.2. Which is greater: 29\/2 or g?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 15566360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138519546 to the nearest integer?\nAnswer: 11769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/20)\/(9273\/(-173096)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-12)\/f**(-3\/2)*(f*f*f*f*f*f**(3\/2)*f)**(1\/41))**(-1\/28) assuming f is positive.\nAnswer: f**(423\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4 - 145925*j**3 - 7051273866*j**2 - 110522799463804*j + 111362049838982488 = 0.\nAnswer: -48958, 949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9, -8, -29, -90, -209?\n\"Answer: -3*n**3 + 7*n**2 + n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 18*c - 17. Let i be k(-1). Solve -u - p = -i*p - 7, 5 = -u - 2*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -22112201?\nAnswer: -22112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 471138537 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7121*i**2 + 7776*i**3 + 1 - 14115*i**2 + 7073*i**2 - 28*i - 1 wrt i?\nAnswer: 46656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 2*w - 3. Let p be i(2). Suppose 0*b + 2*b - p*f = -7, -5*b - 58 = f. Let d = 18 - 30. Which is smaller: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -36*z**2 - 5*z + 21. Let j(p) = 251*p**2 + 34*p - 139. Let q(m) = 20*f(m) + 3*j(m). Determine q(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631598833 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147663 is divided by 1490.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (25 - 18 - -17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, r: 1, h: 4, v: 1}. What is prob of sequence vrth?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 6*j - 2*c, -3*j - 4*c = -6 + 3. What is the closest to j in -0.27, 0, 3\/2, 0.5?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15389251981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54055 is divided by 1146.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 4, -0.18, 2\/63, -3, -4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3}. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -3. Let b = 0.37 - -0.13. Suppose -5*y + 2*a - 5*a = -4, -2 = -2*y - a. What is the biggest value in o, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -190, -193, -196, -199, -202?\n\"Answer: -3*c - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c - 46. Give z(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004736 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2) + (-76)\/184. Suppose -2*x - 20 = 3*x + 3*c, -x = -4*c - 19. Which is smaller: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzrzavavbzzvrai. Give prob of picking 2 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.276877 to two decimal places.\nAnswer: 10.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 601 + -595. Let b(r) = -4*r + 11. Calculate b(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.38 and -23763?\nAnswer: 23763.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 31 - o**2 - 6*o**3 + 32 + 0*o + 29*o**3. What is the least common multiple of r(1) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19853 (base 10) to base 5\nAnswer: 1113403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1220)\/(-12) - 2)\/((-7)\/21). Let q = -249 - n. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -38. Let o(j) = 2*j**3 + j**2 - j + 2. Let p(t) = -t**3 + t**2 - t + 1. Let m(v) = v**3 - 2*v**2 - 7*v - 3. Let z be m(4). Give l*o(n) + z*p(n).\nAnswer: -3*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 49 + -6 + (4 + -2 - -3). Suppose -49*u - w = -50*u. Calculate the greatest common divisor of u and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-8) + (-2)\/(-8). Let s be (z\/2*-1)\/(-1). Let h = -351.07 - -350.96. Which is the smallest value? (a) h (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 11*m**7\/840 - 35*m**4\/24 + 8*m**3 + 15*m + 1. Let d(l) be the second derivative of w(l). Differentiate d(i) wrt i.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*r + 22 = r + 8*r, -44*r - 138*r + 122 - 426 = -30*r for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccejeeecce. What is prob of picking 1 j and 1 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + g + 0 + 0*g)*(260*g + 10 - 454*g + 133*g) in the form p*g**2 + f + r*g and give p.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36, -136, -306, -546, -856, -1236?\n\"Answer: -35*j**2 + 5*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3023.5 - -3023. What is the fourth biggest value in -1, 0.01, -0.2, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:22 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w - 748 + 748. Let y(c) be the second derivative of 6*c + w + 0*c**3 + 0*c**2 + 19\/12*c**4. Let a(s) = -s**2. Give y(a(o)).\nAnswer: 19*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 550?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-10) - (-52)\/10. Let p = 85 + -84.9. Which is the smallest value? (a) -0.3 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413 = u + 11. Calculate the remainder when u is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -13*u**6\/120 + u**3 + u**2. What is the derivative of j(p) wrt p?\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000054254 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8399 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/44 and 61\/38016?\nAnswer: 38016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5300 - -5313. Calculate the remainder when 24 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 8 = 3*u. Let x = 17 + -16.2. Let v = 39.5 + -39. What is the biggest value in x, v, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - h + h - 2*h - h + (-h + 2*h - 3*h)*(1 + 3 - 2) - 4*h + 6*h - 4*h)*(0*h + 2*h - 3*h)*(2*h - h + 3*h).\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 + 45)\/((-21)\/(-7)) - -45*(4 - 3).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - -13. Find the common denominator of (-10)\/(-4) + 166\/q and 17\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -4.8. Let n = -49 - -52. Let t = -10 + 12. What is the closest to t in n, f, 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1620543*f**5 + 23*f**2 + 1620533*f**5 + 70*f**4 + 166 - 3*f**3 - 47 + 155 wrt f.\nAnswer: -600*f**2 + 1680*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 119*o**2.\nAnswer: -119*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5) + 13\/5. Suppose 16*i**2 - 5*i**z - i**5 + 2 - 6*i - 3*i + 6*i**4 - 9*i**3 = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2 + 297997*i - 595990 = 0. Calculate i.\nAnswer: 2, 297995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: -25 times 0.5\nAnswer: -12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, e: 2, o: 2, s: 1}. What is prob of sequence ot?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -331 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*f - 6. Suppose i - 36 = -f*c, -3*c - 38 = -3*i - c. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-54)*((-208)\/4160)\/((-3)\/(-9))?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 1189084?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/165 - ((-16)\/(-22))\/4.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + q + 14 = 0, -u - 2*q + 5 = -0*u. Suppose -19 = 3*o + x, 5*o + x = -u - 26. What are the prime factors of 20*(0 - 4\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20023123 + -11211?\nAnswer: 20011312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (310\/(-15))\/(1\/(-36)). Suppose 4*w - r = w. Suppose -w - 62 = -2*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 18. Let n(f) = f**2 - 20*f - 249. Suppose -11*k + 13*k = 3*c + 52, 2*c - 4 = 0. Let p be n(k). Is p smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 2:03 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1259199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10753706 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37572, -75154, -112736, -150318?\n\"Answer: -37582*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - -10422?\nAnswer: 10332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2503, -6803, -12905, -20809, -30515, -42023, -55333?\n\"Answer: -901*y**2 - 1597*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/14635, -1\/3, -5.\nAnswer: -5, -1\/3, -2\/14635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -1\/459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 19 = 3*u, -3*u - 2*u - 5*j = 15. Let h(i) = 8*i**2 + i. Let r be h(1). Suppose -2*l + 4*o = 0, 5*l + r = -3*o + 35. Solve -u = s + l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642217 is divided by 214068.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*t + 1005*t + 277*t + 125*t)*(-5*t**2 - 2*t**2 + 4*t**2).\nAnswer: -4383*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + -4.07. Let g = 82\/33 - 20\/11. What is the second biggest value in y, -1\/8, g?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.31 + -0.91. What is the nearest to 0 in j, -20\/3, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 22904.45 micrograms?\nAnswer: 22.90445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/15 - -1)*-10. Suppose 4*z = -z + 15. Suppose -z*t = -f - 11. Calculate the highest common divisor of t and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - ((0 - 2) + 4)) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1332)\/2331)\/((-2)\/(28\/(-18)))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, -3025 in descending order.\nAnswer: 1, 0.1, -3025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i**2 - 22*i - 3. Let b(x) be the third derivative of x**5\/12 - 11*x**4\/24 - x**3\/6 + 4*x**2 + 6*x. Let g(d) = 11*b(d) - 6*h(d). Calculate g(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5674 = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42*-6*10\/30*16\/24.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79 - -3 - (-15225172)\/(-185894).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 4*o**2 + 5*o + 3. Suppose 0 = 5*d - 73 - 177. Let v = -45 + d. Determine m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllvvlvlllll. Give prob of picking 2 v.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 - 2*w - 46 + 2*w + 0*w - w to g*w + a and give a.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 7 = 3*g, -4*j + 13*g - 14*g - 5 = 0. What is the fifth biggest value in -3\/7, -4, j, -2, 4\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -4562 (base 12) to base 14.\nAnswer: -2b46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 41. Which is bigger: 0.3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (-3 - -2 - (-1 + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -496853.4 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9035851 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -327872, -329025, -332148, -338225, -348240, -363177, -384020, -411753?\nAnswer: -447360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -36\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.418 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37662, 7, 1.2 in ascending order.\nAnswer: 1.2, 7, 37662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - ((-4326)\/(-35))\/((-3)\/15). Let a = p - 325. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + -5*(2*4*sqrt(325) + 3)*3)**2*1.\nAnswer: 57600*sqrt(13) + 4682304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7008259\/60 - -116807. Find the common denominator of a and 55\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8405, -8406, -8409, -8414, -8421?\nAnswer: -8430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/4*20\/(-25). Suppose 4*x + 2*t - 6 = 2, -1 = 3*x - 2*t. Suppose r = 5*q - 4*n, 2*n - 1 - x = 0. What is the remainder when 2 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Let k = 2.1 - n. Let v = -14 + 102\/7. Which is the smallest value? (a) 3 (b) k (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32\/351 - 35065\/11934. Suppose -5 = l + 2*b, 4*l + 3 = l - 2*b. Find the common denominator of y and l\/(-18)*-267 - 1.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 10*s - 16. Let w be u(9). Let i = 6 - 4. Suppose -i - 8 = 5*p. Which is greater: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 10*m + 21 + 54 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13.230078 * -0.5\nAnswer: 6.615039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 1755218 = -3584782. What is f rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1502 = 2*i, -5*r + 1526 = -2*i - r. Let w = -418 - i. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 155*a = 159*a - 468, -4*i + 5*a = -399. What is the remainder when i is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*m + 72*m - 26*m - 29*m + 247 wrt m.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 2*x - 13. Let i be b(5). Let o(s) = -3*s**i + 7*s**2 - 2*s**2 - 3*s**2. Let t(a) = 28*a**2. Calculate t(o(v)).\nAnswer: 28*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 2\/9, 0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 6*o**2 - 5*o + 1. Suppose -10*f - 33 - 17 = 0. Give v(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1569 + 1568.8581. Let u = 0.141897246 + y. Round u to seven decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 - 34.45569052.\nAnswer: -109.45569052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 8*q + 9. Let k be 5 + -4 + 4 - 0. Let t = 1 + k. Give j(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 50, 1 in decreasing order.\nAnswer: 50, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 11, -54.6, 5, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 1, y: 1, v: 1, z: 1}. What is prob of sequence iyz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -238262 in -0.2, 36, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*y - 1769 + 3574 = 0 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10100010100000000000010 (base 2) to base 9\nAnswer: -11015226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - d = -4*m + 5, 5*m - 25 = 5*d. Suppose -o + q + m*q + 33 = 0, -5*o + q + 181 = 0. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 = 6*t. Suppose 0*s - t*s = -105. Calculate the remainder when s is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.015 (b) -2\/5 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 + -9 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4 - -9) + 11 + -9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 5159*l + 36065. Calculate f(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.21 - 0.11. Let c = k - -0.3. Let f = 8\/39 - 2\/39. Sort c, f, -0.3 in descending order.\nAnswer: c, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(((-105)\/(-2))\/5). Which is the second smallest value? (a) 5 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 73*d**2 + 404*d + 13. What is c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**5\/60 + t**4\/12 + t**3\/2 + 3*t**2. Suppose -17 = 5*i - 7. Give x(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.822 * -0.1\nAnswer: 1.5822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -363010, -726074, -1089138, -1452202, -1815266, -2178330?\n\"Answer: -363064*d + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 144, 131, 104, 57, -16, -121?\n\"Answer: -b**3 - b**2 - 3*b + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 30\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 3*q + 54. Suppose -5*k - 3*o + 52 = 0, -3*k + 45 = -3*o + 9. Calculate the remainder when q is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61141489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**11*(i*i**(3\/4))\/i assuming i is positive.\nAnswer: i**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 78\/(-20) + 4 - 15517074\/1440. Let i = -10777 - r. Calculate the common denominator of -45\/22 and i.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -374 + 2616\/7. Let s be (0 + 1\/1)\/1. Which is greater: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 9*c**2 - 23*c - 227. Calculate s(-10).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w. Let z be (-256)\/14 - (-6)\/21. Let f = -9 - z. Let s(n) = -f*n + 9*n - 3*n. Determine u(s(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-90)\/(-20) + (-2)\/(-4). Suppose 4*f = -4*o + 700, -v*o + 198 = 4*f - 677. What is the greatest common factor of o and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 717, 0 in decreasing order.\nAnswer: 717, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 13, s: 3}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.999685 - 30. What is t rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*k - 19*k = 21*k. Which is smaller: k or -2\/5137?\nAnswer: -2\/5137","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143632661 and 1589.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 = v. Suppose 0 = -r + 5*a + 2, v = r + 4*a. Suppose 34 = -5*g + 14, 32 = 5*p + r*g. Solve -p*s + 4*s - 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, v: 1, j: 3, g: 2, s: 1}. Give prob of picking 1 g, 1 s, and 1 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 432 + -612. Let q = 210 + s. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**2 - j**3 - j**3 + 1 + 4*j**3 - j**3 - 5*j. Let x be c(7). Suppose 5*r = x - 5. Let q(d) = 3*d + 1. Determine q(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 2. Suppose -b*p = 4*j - 22, -j = 2*p + 2*j - 6. Solve -m + 3*f - 2*f - 6 = 0, m + 5*f - p = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -4, 2\/15, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 13*i + 49 + 25*i - 53*i. Does 9 divide d(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-40)\/(-8)*731 - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3828556864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-16 - -2) + (13 - (17 + 15))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 251*s - 253*s. Solve -s*a + 58 = 196 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3786381329 to the power of 1\/2, to the nearest integer?\nAnswer: 61534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60d7 - 19?\nAnswer: -6112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/6056313 and -62\/15?\nAnswer: 30281565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -5*f - 86. Solve 40 = -13*s + f*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -709\/4, 7361, 1\/9?\nAnswer: 7361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 884*s + 1747 - 885*s - 1739.\nAnswer: -s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12\/25 of a millimeter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11327 + -234?\nAnswer: -11561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38 and -1229.\nAnswer: 46702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10221937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152901379?\nAnswer: 7, 8377, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 2*i**2 + i - 4. Let x be l(3). Suppose 0 = x*w - 3*w. Which is greater: w or -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 13*h + 10. Let t(x) = -x**3 + 3*x**2 + 2. Let r(u) = -3*u**3 + 7*u**2 + 5. Determine h*r(i) - 5*t(i).\nAnswer: -i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 7*u + 6. Let k be p(4). Find the common denominator of -95\/12 and (k\/240)\/((-24)\/(-20)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(-7) - (-10 + -1). Suppose 4*a + 0 + k = 0. Let h = 4.97 + 0.03. Put h, 0, a in increasing order.\nAnswer: a, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15739?\nAnswer: 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*t + 10, t - 5*t + 8 = -5*m. Let v(n) = -n**2 + 12*n + 15. Let g = 4 + 9. Let h be v(g). Solve m = 5*y - 17 + h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.85 - 28.15. Let q = c + 28. Let t = -16.81 + -0.19. Which is smaller: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -180, 236, 4 in decreasing order.\nAnswer: 236, 4, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**7\/5040 + b**5\/60 + 2*b**2. Let k(t) be the third derivative of n(t). Let u(j) = -6*j**2. Calculate k(u(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 504 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*r**2 + 8\/13*r**3 + 0*r + 0 + 2\/13*r**4 = 0. What is r?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2325638410.\nAnswer: 2, 5, 53, 4387997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 3*m. Let h be b(-1). Suppose -5*z - 3*v = -0*v - 21, 4*z - 8 = h*v. What is the second derivative of -z*l + 6*l + 5*l**3 + 8*l**3 wrt l?\nAnswer: 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022121 + 11?\nAnswer: 1022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + ((-3*(sqrt(72) + 1))**2 - sqrt(72)).\nAnswer: 108*sqrt(2) + 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 4 (c) -0.1 (d) -3 (e) 817\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 4:38 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5674, -22771, -51274, -91183, -142498?\n\"Answer: -5703*x**2 + 12*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*j**2 + 5047 - 2529 - 2518.\nAnswer: 74*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 3, -3\/2, 636, 42, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 5*k - 4*k + (3 - 1 + 4)*(0 - 1 + 3)*(k - 6*k + 2*k))*(10*k + 12*k - 17*k) in the form y*k**2 + v + g*k and give y.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let b(s) = s**2 + 1. Let p(m) = 24*m**3 + 7*m**2 - m + 6. Let j(w) = -6*b(w) + p(w). What is the units digit of j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Suppose -22 = -4*x - 3*d, -2*x + 7 = -d + 1. Let a = 27 - 23. Let u(m) = m + a*m + x*m - 7*m. What is u(l(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*b - 12 = -41*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -135*k**2 + 4318*k + 55. Calculate u(32).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-16) - (1 - 3)*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9645 * -0.7\nAnswer: 6751.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 44*v**3 + 6*v**2 - 8*v - 1. Let b(w) = -w**3 - w**2 + w. Let z(i) = -6*b(i) - k(i). Suppose 0 = -4*x + 3*x - 1. Is z(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348, -318, -300, -300, -324, -378, -468, -600?\nAnswer: -780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 350751206?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/5 - 1331*u**3 - 16649*u**2\/5 - 3332*u\/5 + 1332 = 0 for u.\nAnswer: -2, -1, 1\/2, 3330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-440)\/24 - -19) + (-8)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 519116183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 1258*o**2 - o - 2*o + 3*o.\nAnswer: -1258*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 1:17 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2435923 is divided by 3961?\nAnswer: 3869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 12159\nAnswer: -2\/4053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.12878 and 147?\nAnswer: 146.87122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*z = 160, 130*z = m + 129*z - 48. Calculate the remainder when 391 is divided by m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2012*m**5 - 25*m**4 + 2*m**3 + 645*m**2 - 2*m - 12.\nAnswer: -120720*m**2 - 600*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -80 and -2894.43962.\nAnswer: -2974.43962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f + 15 = 0. Let t = 380 - 375. Let l(o) = -10 - 2*o - 2*o**2 - o + t + f*o**2. Give l(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -327767 - -89480212\/273. Let k = 1\/91 - s. Which is the third smallest value? (a) k (b) 0.1 (c) -0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007 + -30 + 31 + (-1 - -1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1705*v**2 + 2371*v**3 - 1705*v**2.\nAnswer: 2371*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + a = 17, -n + 1052 = -2*a + 1061 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -397*p**2 - 1 + p + p**3 + 0*p**3 + 396*p**2 to the form g + y*p**2 + b*p**3 + d*p and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 6578 = -33*m. Suppose t - 4*n - m = -2*n, 4*t + n = 1144. What is the highest common factor of t and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76731524341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -1 (c) 0.1 (d) -4 (e) -364.1 (f) 126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26750.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8932237 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 - -0.18?\nAnswer: 4.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 8*l**2 + 16*l + 40. Let p be r(10). Which is the nearest to -7? (a) p (b) 4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q + 2. Find the common denominator of (-178)\/(-40) + q\/(-8) and 0\/(-1) - (-89)\/(-18).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i - 48 + 184 = 0. What is the highest common divisor of 152 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*sqrt(19))**2 - (sqrt(19) + sqrt(19)*5*-1).\nAnswer: 4*sqrt(19) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2 - 2)*(-3 + 6 - 5) + (-2 + 1 + 0)*(i + i - 4*i) + i - 2 + 2 + (-3*i + 2*i - i)*(2 + 2 - 2) + 2*i - 3*i + 3*i + 8*i - 12*i - 6*i.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-17*54\/(-1530)). Let v(s) = -s. Let p(k) = -3*k - 15. Calculate y*v(u) - p(u).\nAnswer: -2*u + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -489\/10. Calculate the common denominator of 102\/(-4)*5\/3 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*g + 9 + 4 + 4 - 16.\nAnswer: -109*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3332 and 1156?\nAnswer: 56644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107947680 to the power of 1\/3, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21\/(-9) + 3)*-18. Let v = 31 + r. Calculate the remainder when v is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 10:54 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 - 19*n**2 - 20*n**2 + (-3 - 2*n + 3)*(-69*n - 66*n + 44*n) as j*n + f + q*n**2 and give q.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-63))\/(317\/13631*2\/(-6)*1)\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -101302211?\nAnswer: 101302202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22852, 91396, 205684, 365752, 571636?\nAnswer: 823372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 165 + 14 = -4*z, -5*m = -3*z + 142. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -12. Let n(b) = -800091*b + 4. Let k(l) = -800073*l + 4. Let o(c) = 5*k(c) - 4*n(c). Let m be o(y). What is m rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14725\/(-285) - (4\/(-3))\/(-4). Put 3, v, -2, 12, 2 in increasing order.\nAnswer: v, -2, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3058394\/51 and 59968 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1707*d - 18778. Give c(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42570 and 4.2220682.\nAnswer: 42574.2220682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = q - 543 - 904, 3*q - 4385 = -5*h. Suppose -8*s = -5*s - q. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 4232?\nAnswer: 4235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152661.\nAnswer: 3, 151, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/5 - 208*j**2 + 1041*j\/5 = 0. What is j?\nAnswer: -1041, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.7 (b) -0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*x - 94, -169 = 5*b - 2*x + 45. Suppose 5*v = 58 + 37. Calculate the smallest common multiple of (3 - b\/(-16)) + 14\/8 and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**6\/660 + o**4\/132 + 3*o**2\/2 + 1. Let d(g) be the second derivative of v(g). Factor d(a).\nAnswer: -2*a*(a - 1)*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11772.107 - -11780. Let w = c - -0.107. What is the second biggest value in -2\/11, 2\/5, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5531751 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207931*g**4 - 40*g - 33318.\nAnswer: 2495172*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 32*g. Suppose -2*a - 5*o = -98, 113 = -4*a + 7*a - o. Let p = -34 + a. Let u(j) = -j - 4*j + p*j + j. Give u(c(m)).\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-4))\/(33\/(-132)*(-1)\/2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3923017 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*a**2 - 84*a**2 - 3*a - 77*a**2.\nAnswer: 21*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19354 is divided by 8001?\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:15 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 16*c - 507 = 11*c, 169 = f - c. What is the greatest common divisor of 26 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1404\/338 + (-6)\/39. Suppose 5*f = 3*m + 5135, j*m + 4145 = 4*f + 9*m. What is the smallest common multiple of 10 and f?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 0*o**2 + 47\/4*o**4 - 2\/3*o**3 + 75*o + 85. Find the third derivative of y(b) wrt b.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 909860.6 centuries in decades?\nAnswer: 9098606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 351\/130 - -7 - 10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30430 - -2?\nAnswer: 30432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g**2. Let d = 11 + -9. Let c(z) = 20*z + d - 24*z - 2. What is c(m(x))?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 14*h - 185*h**3 + 14*h to the form w*h**2 + b*h + f + r*h**3 and give r.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q**3\/7 - 3786*q**2\/7 - 2979126*q\/7 + 45518490\/7 = 0.\nAnswer: -467, 15, 1083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/24*(-6)\/(-1). Let s(u) be the first derivative of 15 + p + 2 + u**2. Let b(j) = -17*j**2. Calculate b(s(c)).\nAnswer: -68*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-1 + (-2)\/2). Let g be (-12)\/(-9) + -3 - -2. Let n be -1*(-3)\/9*0. What is the third smallest value in g, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 335, -2 in descending order.\nAnswer: 335, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 20*z - 11*z + 528. Let i(r) = 85*r**2 + r. Let s be i(-1). Calculate the greatest common divisor of s and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/52)\/(21\/1092)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) + (-90)\/(-21). Let q(z) be the second derivative of -z**3\/6 - z**2 - 2*z. Let l be q(-4). Sort -1, f, l in increasing order.\nAnswer: -1, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.1, 0.1, -36, 5 in increasing order.\nAnswer: -36, -0.3, -0.1, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13132575.2 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 13*u + 11. What is n(3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14502.\nAnswer: 2, 3, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511141.\nAnswer: 43, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2275 + 3055 = 122*w - 4710 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*m + 2 = -3, k = -2*m - 6. What are the prime factors of (1 - k)*252\/35?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 5*s**2 + 4*s + 1. Let h be r(-2). Suppose h*k - 7362 = -k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 66. Let d = q - -4. Solve -d*f = -7 + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121201202 - 120?\nAnswer: -121202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 3:54 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35738, -35748, -35758, -35768?\nAnswer: -35778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a gram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 + 20.2. Let h = k - -12. Which is the smallest value? (a) -2 (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 bigger than 339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-19)*q**(1\/7))**(18\/7))**(-31))**(2\/71) assuming q is positive.\nAnswer: q**(147312\/3479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 124862 rounded to the nearest 1000?\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1048.035463 to two dps.\nAnswer: -1048.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 3:14 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*2\/24*36\/(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 89 = -17. Suppose -10 = -3*x - 2*x. Suppose -3*c = -2*i - 45, -3*c - x*i = -5*i - 48. Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7726 - -7723. Which is the second biggest value? (a) -10 (b) -1 (c) z (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/2079*((3 + -42)\/13)\/(25 - 27).\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1073*a - 2151*a + 1077*a - 265)*(-2 - 22 + 4).\nAnswer: 20*a + 5300","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 22. What is the remainder when b(-8) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*a**3 - 43*a**3 - 36*a**3 - 49*a**3.\nAnswer: -219*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 64\/12 - (-4)\/6. Suppose -3*a + 41 = -4*q, 4*q = a - 3*a - l. Let s(z) = z**2 - 4*z + 4. Calculate the lowest common multiple of s(4) and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23690, 23402, 23120, 22844, 22574, 22310?\n\"Answer: 3*a**2 - 297*a + 23984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 21*n + 60. Suppose -2*r + 35 = -l, 32*r = 27*r - 5*l + 80. Give v(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11423413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*b + 1022 = 78*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t = -30*t - 318. Suppose t - 50 = q. Solve q*l + 2*l - 5 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1064.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -191.4958719 - -0.4677719. Let t = -191 - y. Round t to 3 dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/7 (b) -0.87 (c) -237 (d) -2\/19 (e) 0.483\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-3)*(-12)\/5. Suppose -p - c = -1. What are the prime factors of p*(-2)\/(2 + 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -21*y + 90. Calculate the remainder when 1901 is divided by r(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (129 + -5 - (39 - (17 - -9))) + -4?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 220*j**2 - 3*j. Let k(w) = 3*w + 158. Determine k(u(v)).\nAnswer: 660*v**2 - 9*v + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/3716451 and 26\/135?\nAnswer: 55746765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25951*h**2 - 12459*h**2 + 1 - 1 - 13491*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486) + sqrt(6))\/(sqrt(75)*1).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1\/m)**(-4\/5)\/(m**(2\/5))**(-2\/13))**(-3\/19) assuming m is positive.\nAnswer: m**(-12\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**5\/15 + a**4\/2 - a**3\/3 - 10*a**2\/3 - 4*a - 44. Let u(y) = 0. What is y?\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*g = -132 - 321, -2*g = 4*w - 942. Let b = 505 - w. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20491, 1\/2, -1.41, 56.\nAnswer: -1.41, 1\/2, 56, 20491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6148 is divided by 439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-21) - (-10)\/(-14). Let p be f\/(-3) + (-336)\/(-18). What is the third derivative of p*l**6 - 22*l**6 + 10*l**2 - l**2 wrt l?\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 31003414 = 5*m + 4696718, -10 = -5*h. Suppose -5138660 = 4*q + m. What is q rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 26049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-240))\/(22\/(-396))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(sqrt(176) + 1 + sqrt(176))*2*6 - (2 + sqrt(176) + 3 + 1 + sqrt(176) + -5)).\nAnswer: -2832*sqrt(11) - 354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 3*x**7\/70 + x**5\/12 - 3*x**2. What is the third derivative of n(s) wrt s?\nAnswer: 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-22 + 34 + -31)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221110210210001 + -2?\nAnswer: 10221110210202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 22 = -10. What is the remainder when 11 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/14 and -1\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*v + 3, 25 = -2*t + 2*v + 23. Solve t = -4*s - 5*l - 11, -s + 2*l + 2 = -5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 - 760 = 16*c + 25*c for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/64*(-13)\/((-26)\/(-120))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2336 = 3*y, 0 = z + y + 166 - 2526. What are the prime factors of z?\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from tjjdjaddmdaaamdd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6187.185 decades in centuries?\nAnswer: 618.7185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 1\/168*i**8 - i**2 + 0*i**6 + 0*i**3 + 0*i**7 - 1\/20*i**5 + 0*i + 0*i**4 + 0. What is the third derivative of f(n) wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let h be (-24)\/(-8) - ((-2 - -1) + 1). Let d(n) = -2*n + 1. Calculate h*w(m) + 2*d(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 928, 927, 926, 925, 924, 923?\n\"Answer: -s + 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*51453.\nAnswer: -308718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 58*l**2 - 390*l - 127. What is the thousands digit of a(-55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44586852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1157032 divided by 160\nAnswer: 144629\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**5\/15 + 87*a**2. Let c(b) = -b**2 - b - 1. Let j(v) = 3*v**2 + 2*v + 2. Let z(m) = -2*c(m) - j(m). Determine z(x(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**2 - i**5 + 6*i**2 + 5*i**4 - 6*i**3 - i**5 + i**4 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*c**2 - 82*c**2 - 32*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 131\/283963 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/5 + 5 + -10. Let v(l) = l**2 - l - 1. Let i(j) = 3*j**2 - 2*j - 2. Determine c*i(b) - 5*v(b).\nAnswer: 4*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4553 and 7069243.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(4 + -3*sqrt(272) + sqrt(272) + 3)**2.\nAnswer: -672*sqrt(17) + 6821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -14713?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 13*j - 14*j + j.\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/sqrt(4) + sqrt(63))\/sqrt(9))**2 + 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or 2996380?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40417?\nAnswer: 13, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)\/i**(2\/15)*(i\/(i\/(i\/(i**0*i))))**13)**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - o - 5*o + (-3 - 4 + 4)*(-o - 3*o + 30*o)*(-5 + 3 + 3).\nAnswer: -83*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, q: 3, r: 1, o: 1, a: 7}. Give prob of sequence aoru.\nAnswer: 7\/17160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35050 - 1?\nAnswer: 35045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - h + 1 + (-3 + 5 - 1)*(-133 + 61 + 72 + 1557*h) to j + s*h and give s.\nAnswer: 1556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -63336, -63303, -63242, -63147, -63012, -62831, -62598?\n\"Answer: c**3 + 8*c**2 + 2*c - 63347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2924\/195 - ((-12168)\/78 - -171)?\nAnswer: -1\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 24536348?\nAnswer: -24536342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -42882936 divided by -134852?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 351710 and 177894918?\nAnswer: 889474590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 7*q**2 + 1. Let z be w(7). Let x be z\/(2 - (-42)\/(-20)). Let i be (-4)\/(-20)*x\/8. Which is the biggest value? (a) -5 (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/5)\/n)\/n)**(-1\/9)\/(n**(1\/4))**(3\/29))**(-34) assuming n is positive.\nAnswer: n**(-13481\/2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**4 - 2327*m**2*o**3 + 2*o**3 - 790*o wrt m?\nAnswer: 4*m**3 - 4654*m*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 8, 5*f - 164 - 1370 = 4*x. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*1 + sqrt(98))**2 + -4 + -3 - (-3 + sqrt(72) + (sqrt(72)*1 - sqrt(72))**2).\nAnswer: -6*sqrt(2) + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3ab1 (base 12) to base 7.\nAnswer: 25462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 3:10 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 19*s - 13*s + 1 + 11*s**2 - 10*s**2. What is q(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 25*d + 15. Calculate j(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222\/9*29\/(-58).\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 22*k**3 + k**2 + k - 2. Let y be r(1). Differentiate 4*c + 15 + y*c + c with respect to c.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5342 by 2.\nAnswer: 2671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 - p + p + (3 - 3 + p)*(2*p - 4*p + 3*p) + 2 - p**2 - 2 - 4*p - p**2 + 4*p - 94*p**2 + 176*p**2 + 120*p**2.\nAnswer: 199*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**3 - 4*w**2 - 11*w + 11. Let j(y) be the third derivative of -y**6\/60 - y**5\/30 - y**4\/4 + y**3 - y**2 - 774*y - 2. Determine -11*j(z) + 6*l(z).\nAnswer: -2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 0.2, -3\/44?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 7*s**6\/360 + s**3\/2 + 4*s. Let t(c) be the second derivative of x(c). What is the units digit of t(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-1) + -1 + 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -11 + (1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2170)\/308 + 1380\/(-3036)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 11. Let h be a(0). Suppose -300 = -7*t + h*t. Let c = 120 + t. Calculate the greatest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 17. Let a = m - 7.6. Let x = 0.8 + a. Round x to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 411*t**3 + t**2 - 3*t - 33. Let q be n(5). Let s = q - 35723. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3855 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-10 + -3)) + 370 + -393\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6097 divided by -305?\nAnswer: 6097\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 12. Let p(s) = 3*s - 12. Let q(z) = 4*j(z) + 3*p(z). Does 12 divide q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*q + 2*q, -3*y - q - 27 = 0. Let j be (-40)\/(-16)*y\/(-10). Let c be ((-6)\/(-15))\/(j\/60). Solve c = 3*a + a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 1 + 2. Suppose m = 2*d - z, 3*m - m = 5*d - 9. Factor -2*b - 18*b**2 + b - 10*b**4 + 3*b - 26*b**d + 4.\nAnswer: -2*(b + 1)**3*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143567 divided by -5?\nAnswer: -143567\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.1 (b) 5 (c) -2 (d) -3 (e) -103\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n + 123 - 12 + 19 = 0. Let y = -13 - -18. Put y, n, -4, 3 in decreasing order.\nAnswer: y, 3, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 1. Let u(g) = -70*g**3 - 7. Calculate 7*o(n) + u(n).\nAnswer: -77*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13945687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 34*k - 40 = -36*k, 4*x - 4*k = 40. Find the first derivative of -187*s**4 - 17*s**4 - x - 97*s**4 wrt s.\nAnswer: -1204*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422.9579mm to micrometers.\nAnswer: 422957.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -25 (c) -2 (d) 8\/81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04567 - -0.54567. What is the fourth biggest value in -0.0467, c, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -6 (b) 35 (c) 6\/11 (d) 181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g - 25 = 5*t, 2*t = 5*g - 10. Let s(y) = y + 12. Let z be s(t). Let q = 12 - z. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97643081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/9*(-36)\/(-8). Sort -1, 0, u in descending order.\nAnswer: 0, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 5:03 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5961011 or -2?\nAnswer: 5961011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + 10f?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-67732)\/(-24) - 37\/222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202472880 is divided by 33745479.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x + 24. What is the remainder when 71 is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + (-1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 507659.6079 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/6*(-18)\/8. Let g = 2 - b. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 2 = 10*g + 4*j, -3*g + 2*j + 26 = 0. Let k(n) = g - 4 - 17 + 11*n. Let i(h) = -5*h + 7. What is 13*i(y) + 6*k(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 244.59 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.65, -76322, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120157?\nAnswer: 120157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 2*f + 6*f)*(-f**3 - 4*f**2 + 4*f**2) + 93*f - 26672 - 2*f**3 + 26672 - 3*f**4.\nAnswer: -4*f**4 - 2*f**3 + 93*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(k - 3*k + k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t)\/t*t**(1\/9)*(t\/t**(1\/3))**(-19)*t**(-2\/9)\/((t**(-2)\/t)\/t)*t**(-1)\/t**(1\/7) assuming t is positive.\nAnswer: t**(-814\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -55, 5, -126, 82 in ascending order.\nAnswer: -126, -55, -2, 2, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002982 to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0609719 + 0.037?\nAnswer: -0.0239719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/48 and -11\/135312?\nAnswer: 135312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*a - 301878 = -134*a + 1241946. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42368 - 42368 - 4948*o + (0*o - 2*o + o + (4 + 0 - 2)*(-2*o + 2 - 2))*(0 - 5 + 4).\nAnswer: -4943*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((11 - 14) + 13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 1 - (1 - 8). Suppose m*n = 9*n + 300. What is n rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s = 23114. Suppose 23*j - 10*j = s. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 3. Let w(q) = -12*q - 32. Let r(p) = -32*m(p) + 3*w(p). Let x(s) be the second derivative of -s**3\/2 + 5*s. Determine x(r(z)).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 - 0.84. Let t = -6238393 + 6238393.90000025. Let z = n + t. What is z rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64622 is divided by 7217?\nAnswer: 6886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 - 2 + 3 - 101*v - 124*v**2 + v**4 - 100*v + 200*v to the form s*v**3 + t + a*v + k*v**2 + q*v**4 and give k.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**4\/6 - 5*d**3\/6 + 5*d**2\/2 - 5*d. Let c be z(2). Let s be c\/78 - (-134)\/12. Solve -14 - s = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/2864544 and -3\/387907?\nAnswer: 37239072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.507465 and -3035746.\nAnswer: -3035740.492535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68632513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3093497?\nAnswer: 11, 281227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 147 - 387 + 18*p + 127 + 141 to s*p + t and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + -4. Let c(g) = g**2 + 5*g + 6. What is the remainder when c(-5) is divided by 10\/1*(-16)\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 8*v - 3. Let n(a) = -4*a + 5. Let i be n(5). List the prime factors of k(i).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/3 - 6400\/1120*14\/5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 - t**2 + t - 1. Let d be s(1). Suppose 2*a = 4*o - 2, 4*a - 2 = o + o. Let q be a\/(d\/46) - 1. Solve 5*p = -3*k, 5*p - q = 4*p - 5*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76? (a) 2 (b) -3\/5 (c) -0.253 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111010101 - -11110101?\nAnswer: 1001011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*u + 6*m + 25, -3*u = -4*m + 2. Let p(q) = -2*q**2 + 5*q + 4. Give p(u).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 143*i - 579. Determine b(7).\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56915984 by -7114498.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1567*k + 14109. What is p(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -17. Suppose 2*c = -s*m - m + 24, -18 = -2*c - m. Calculate the remainder when c is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 3:50 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 8:54 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 6*x - 124549 = 0, 15*x - 99680 = -4*k + 17*x. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 3*r + 69 = 0. Suppose -107 + r = -3*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2299) - sqrt(2299)) + -2 + (sqrt(2299) - (0 + (sqrt(2299)*-1 - sqrt(2299) - sqrt(2299))))**2 + -3 + -3*sqrt(304) + 1 + 0.\nAnswer: -12*sqrt(19) + 36779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -227*u**2 - 2*u**3 - 2*u - 326*u**2 + 186*u**2 - 2 + 2 as p*u**2 + s*u**3 + a*u + b and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3382 - -3?\nAnswer: -337a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.7 - -0.3. Let m = 7 - j. Let x = 25 - 25.2. What is the third biggest value in m, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((-5 - -2) + 10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289005245.\nAnswer: 5, 57801049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 594132*z**2 + 1420*z + 66?\nAnswer: 1188264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {q: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*y**2 - 48*y**2 + 15*y**2 + (-y + 4*y + 3*y)*(2*y - 4*y - 3*y))*(3 + 2 - 6).\nAnswer: 43*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 - k**2. Let y(c) = 2*c**3 - 2. Let d be y(0). What is t(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 10:34 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - n + 113 = 32, n = -5*g - 206. Let x = 57 + g. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 + 34. Suppose -5*s + 1325 - 547 = 4*p, -3*s = -4*p - 454. Let c = s + z. Does 26 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**6\/900 + z**5\/300 + z**4\/30 + 2*z**3 + 3. Let f(n) be the third derivative of i(n). Factor f(r).\nAnswer: -2*(r - 2)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -34*q**6 + 3*q**5\/5 - 7*q**3\/3 - 4*q + 300. Find the third derivative of k(p) wrt p.\nAnswer: -12240*p**2 + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4003 - -4003.6. What is the nearest to 2\/7 in 2\/9, 4, 5, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/8)*h)**(-27)\/(h**(-3\/7)\/h)**15 assuming h is positive.\nAnswer: h**(-123\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 55*y - 35*y = -2*m + 32*y - 51, 3*m + y - 2*y - 6 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77*(-15)\/(-315))\/((-1)\/3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3166086 and 6035624.\nAnswer: 2190931512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -233112 + 32361?\nAnswer: -200421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 1. Let g(q) = -3 + q**2 + 8*q - 11*q + 0*q**2. Let m(o) = -g(o) - 3*u(o). Let z(k) = -k**2. What is 4*m(l) - 3*z(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 9*h**3 + 25*h**2 + 22*h**2 - 47*h**2.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/5)*b\/((((((b*(b*b**(-2\/7)\/b)\/b)\/b)\/b*b)\/b)\/b)\/b))**22*(((b\/b**3*b*b)\/b)\/b**(-5))\/((b\/(b*b*b**(-2\/17))*b*b)\/b**(-1\/2)) assuming b is positive.\nAnswer: b**(146451\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3 + q - q**2 - 6*q**2 + 2 + q**3. Let h be o(5). Calculate the common denominator of -65\/6 and (-1)\/(-4) - 258\/h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 9 - 35 = 0. Let p(y) = y**2 + 9*y + 21. Let j be p(-6). Suppose 0 = j*m + 41 - 74. Calculate the highest common factor of q and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 0 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -6. What is the smallest common multiple of (-2 - -2) + 1\/1 and (m\/12)\/(1\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30169402091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 3*n + 9 = 0, -3*d + 2*n + 7 = -0*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.9 + -6.03. Let o = 0.13 + q. Let y = 2.5 + -2. What is the second biggest value in y, o, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1413145 is divided by 37188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/21 and 83\/4634?\nAnswer: 13902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 1152 in descending order.\nAnswer: 1152, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 12:05 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/3 and (-4 - (-2423)\/606)\/(20\/276).\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - a - 6. Let b be k(5). Suppose b = m - 0*m. What is the lowest common multiple of m and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 36*d\/5 - 55.\nAnswer: -(d - 25)*(d - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218576 is divided by 1024?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*i + 790 + 68 = -73 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r**2 - 17*r + 61. Let y = 113 - 99. Is c(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7515 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n - 19. Let x be o(4). Let h = -50 - x. Calculate the remainder when 0\/(-8 - -13) + (35 - h) is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392283992 to the power of 1\/2, to the nearest integer?\nAnswer: 19806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 3*j**2 - 2*j**2 + 6 - 18 - 3 - 6*j**2.\nAnswer: -5*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 235 + -107. Calculate the greatest common factor of 608 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 1, -4, -9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30841813, -61683619, -92525425, -123367231?\n\"Answer: -30841806*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27234 and 5268266.\nAnswer: 3026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1080\/(-567))\/(53800\/(-3766)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23703563329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 7*a**2 + 9*a + 7. Let d be i(8). Let v be (-1)\/(-15)*3 - (-42)\/d. Solve -r = v*r + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1)*g)**(2\/25)*g**(-2)*g*g**(-5\/6)*(g**(-1)*g)**(-2)*g**(-5\/4)*g**(2\/3)\/g assuming g is positive.\nAnswer: g**(-953\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/63*(-14)\/(-6). Is w smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s + 4465 + 1359 = 0. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 427\/13. What is the smallest value in a, -1, -3\/7, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 25 = 3*d - 7*i, i = 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02314 or -3\/3139?\nAnswer: -3\/3139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oge. Give prob of sequence ge.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 811153+-1.1\nAnswer: 811151.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1622.747 centimeters?\nAnswer: 16227470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10065358 to the power of 1\/2, to the nearest integer?\nAnswer: 3173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44010 divided by -6.\nAnswer: 7335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjaf when four letters picked without replacement from {a: 3, g: 4, f: 3, j: 3}.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blhc when four letters picked without replacement from lleellbehheeelllceel.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2\/83)*m*m**(-24))\/((m*m**(-11)\/m)\/(m\/m**(-17))))**(6\/19) assuming m is positive.\nAnswer: m**(3498\/1577)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5474959*c - 11397604.\nAnswer: 5474959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-15))\/(2 - 60\/54) and -15\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 14039999 = 3*p, 7224055 - 204053 = 2*l + 2*p. Let f be (25 - 1)\/(-6) - l. Round f to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 373 + -173. Let o = 10 + -7. Suppose k = 2*n + o*n. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*f - 16. Let o = 15 - 6. What is the smallest common multiple of (6\/3 - f)\/(-1) and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8970 and 1726140?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -36 - 46. Let z = 14 - 0. What is the remainder when w is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*f - 11123, -f - 11138 = -4*f + h. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*n + 275, -n + 17*f = 15*f - 148. What is the remainder when 288 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k + 358. Determine f(54).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112302032 (base 4) to base 14.\nAnswer: 121114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -a7 (base 11) to base 13\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -10 - 2*q**2 + 8*q**2 + 10. Let g be i(4). Differentiate 18*z - g - 2*z - 3*z + 87 with respect to z.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**4\/3 + y**3\/6 - 14*y - 81. Let o(s) = 23*s**2. What is o(k(i))?\nAnswer: 368*i**4 + 184*i**3 + 23*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8208 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293*u + 7 = 292*u. Let j(d) = d**2 + 8*d. Determine j(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12 + 6 + 5)\/((-6)\/1134). Calculate the greatest common divisor of r and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + d - 27 = -0*d, 3*d = -5*m - 45. Let b(o) be the first derivative of -o**3\/3 - 9*o**2\/2 + 3*o - 3. What is the units digit of b(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/57 and -76\/9?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 + 0.14. Let d = u - 0.12. Suppose 4*q = q + 6. Are d and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - -7. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1231*q + 1563*q - 2808*q - 3 + 3.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 351473 (base 10) to base 2\nAnswer: 1010101110011110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57487*r**4 + 43*r**2 - 8668913*r wrt r?\nAnswer: -689844*r**2 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1806180 is divided by 3480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 24046?\nAnswer: 24053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 10, -5, 7.6, -0.1, 13\/3?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*c = -3*w - 10, 3*w + 3*c = -6. Suppose 2*u - 4*p + 48388 = -w*u, 6 = -2*p. What is u rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 32*m**4 - 9*m**3 + 18*m**2 - 10. Let h(d) = -31*d**4 + 8*d**3 - 17*d**2 + 8. Let o(y) = 5*h(y) + 4*i(y). What is the third derivative of o(c) wrt c?\nAnswer: -648*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -19*l**2 + 34*l - 13. Let q(r) = -13*r**2 + 23*r - 9. Let u(s) = -5*d(s) + 7*q(s). What is the lowest common multiple of u(3) and 17?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10309094 by 29.\nAnswer: -355486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 5*z**2 - 4*z**2 + z**3 + 8*z - 5 + 4*z**2. Let u be k(5). Solve 4*o - 2*s - u = -s, o - s - 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12303*u**3 - 7*u**2 - 5*u - 6. Let y be q(-5). Suppose r - 1962281 = y. Round r to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 190205.\nAnswer: 1\/190205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + o + 8 = 0, f + 4 = o + 2*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.14 - -2.2. Let m = -2.06 + z. Let s = 0.4 + -0.4. Sort s, m, -0.5.\nAnswer: m, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0992 - 22.0992. What is the smallest value in -0.5, m, 42, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218 + -1220. List the prime factors of 6\/(1992\/u + 2).\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8629 + 1.1629. Which is the smallest value? (a) -8 (b) 3 (c) 0.02 (d) 2\/13 (e) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 0*z - 20. Suppose 245 = 9*o - z*o. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (2 - (-4 + 7)) + (-4 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*w. Let v(y) = 65*y - 253. Let z be v(5). Suppose -2*f + w*f = -z. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*1*(-94)\/47.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 70*f**2 - 36*f + 2667. Give d(70).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 4. Let p be x(2). Suppose -3*j - p*t = -3, -4*t + 7 = -5. Put 0, j, 3 in increasing order.\nAnswer: j, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-110)\/(-11)))\/((-9)\/15)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 1163, 2550, 4483, 6968?\nAnswer: 10011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmooo. Give prob of sequence om.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 8*i**2 - 7*i. Let x be a(7). Put x, 1, -2 in ascending order.\nAnswer: -2, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 767*m + 34640. Determine h(-45).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (35\/20)\/((-4)\/(-2144))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**7\/420 - u**6\/90 - 11*u**4\/12 - 3*u. Let l(x) be the third derivative of r(x). Find the second derivative of l(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -270*c**3\/11 - 5376*c**2\/11 + 488*c\/11 + 160\/11 = 0?\nAnswer: -20, -2\/15, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**5 - 8*o**5 + 17*o**5 + (-o**2 - 2*o**2 + o**2)*(-2*o**3 - 5*o**3 + 6*o**3) + (180*o**3 + 16*o**4 - 180*o**3)*(-o + 1 - 1) + 1 - 1 + 2*o**5.\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2486 - 2486 - 47*y)*(0 - 2*y + 0).\nAnswer: 94*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*v + 13, -o - v = -0*v - 2. Suppose 0 = o*z - 2799 - 666. Suppose -128 = 5*c - z. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and (-696*1)\/((21\/(-84))\/(3\/2))?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234633.767 rounded to the nearest one hundred?\nAnswer: 234600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**2\/2 + v + 2. Let q(g) = -g + 4. Let z be q(5). Let h be 6\/2 + 9*z. What is p(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1540162?\nAnswer: 2, 13, 37, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(-3*j**2 - 15*j**2 - j**4 + 3*j**2) + 2*j**4 + 0 + 0 + (-2*j**4 - j**4 + 6*j**4)*(-5 - 6 + 3).\nAnswer: -25*j**4 - 45*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3467 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.354702 rounded to 1 dp?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -16*l**2 - 995*l - 8947. What is z(-9)?\nAnswer: -1288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6bc6 (base 14) in base 7?\nAnswer: 105536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:39 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, 517, 3 in ascending order.\nAnswer: 0, 3, 8, 517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -197 + -69. Let c = f + 273. Let r = -3 + 7. What is the closest to 0 in c, r, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -5. Let u be 2\/z - (-24)\/16. Solve 3*j - 4*j + u = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 247778, 247783, 247788?\n\"Answer: 5*n + 247773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d + d + 6*d. Let k be (-42)\/(-4)*(-16)\/(-24). Let i(c) = -4*c - 8*c + k*c. Calculate -i(r) + 2*q(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63666 (base 16) to base 11.\nAnswer: -25898a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 64 = 2*j + 1890*w - 1876*w, -2*w - 8 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121665248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 6*m**2 - 4*m + 4. Let l(v) = -3*v**2 - 8. Let x(q) = 2*q**2 + 4. Let r(b) = -3*l(b) - 5*x(b). Let o be r(-3). What is g(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + n + 2*n - 4*n - 4.\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -15. Let h = -4.1087 - -0.1087. What is the third biggest value in -6, o, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -61*v**2 + 36*v - 5. Let l(o) = -2*o**2 + 6*o - 1. Let j(f) = -b(f) + 6*l(f). Let q(d) = 176*d. What is j(q(z))?\nAnswer: 1517824*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1430, -1432, -1434?\nAnswer: -1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14533.6+-45471\nAnswer: -30937.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 10) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**2\/2 - 19*u - 30. Determine v(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -292 + 416. Suppose -n*a + 120*a + 160 = 0. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 912*i**2 + 7*i - 5. Let a(p) = 454*p**2 + 4*p - 3. Calculate -7*a(d) + 4*v(d).\nAnswer: 470*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1284)\/(-2140))\/((1\/(-15))\/(75\/27))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 13. Let z be 10\/(-25) - 457\/f. What is the common denominator of 18\/7 and 0 + (-4)\/((-24)\/z)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g - 12 + 12)*(4*g + 5*g - g) - 3*g**2 + 4*g**2 + 0*g**2 - 5*g**2 - g**2 + 4*g**2 + (0*g - 4*g + 2*g)*(-2*g - 2*g + 5*g) + 3 - 3 - g**2.\nAnswer: -52*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4+-39.9\nAnswer: -35.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1.36, 0.3, -3, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6939*v + 27748 wrt v.\nAnswer: 6939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141235*p**6 + 2*p**2 + 1279*p - 4 wrt p.\nAnswer: -16948200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -27*l - 1. Let s be w(1). Let q = -13 - s. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376832099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u + 6*u - u. Let k(s) = -10*s**2. Give k(r(o)).\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5, -2*b + 4*o = 3*o - 149. Calculate the remainder when b is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.23 and 0.0812?\nAnswer: 1.561476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1850*c - 60473 + 2207 + 2766 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q**3 - 5*q**2 + q + 6. Let z = 121 + -116. Is i(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*g + 19350 = 1488. Calculate the highest common factor of 39 and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 131, -7 in ascending order.\nAnswer: -7, -2, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) - sqrt(52))\/sqrt(4) - (sqrt(208) - (sqrt(208) - sqrt(208)*2))) + (sqrt(13) + sqrt(91)\/(sqrt(63)\/sqrt(9)))*1)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8889816 is divided by 8889802?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 16\/205?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11187?\nAnswer: 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*n**3 + 42*n**3 - 97*n**4 + 95*n**4 - n**4 + 2*n**4 + 0*n**4 + (n**2 - n**2 - 2*n**3)*(-3*n + n + n) + 4*n**4 + 5*n**4 - 5*n**4.\nAnswer: 5*n**4 + 68*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 + -2 - -4) - -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14730*m**2 + 33518*m?\nAnswer: 29460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5343494 is divided by 333965.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3 - 6. Let d(x) = 2*x**2 + x - 11. Let i(p) = p**2 - 5. Let b be 1\/(((-10)\/(-8))\/(-5)). Let c(n) = b*d(n) + 9*i(n). Give c(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -11, -19, -29, -41?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16793829337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -68. Suppose -x = -6*x - f. Let j(y) = -y**3 - 7*y**2 + 8*y + 3. Let h be j(x). Solve 2*l + 18 = -2*p, h*p = -2*p - 2*l - 33 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -144, 2, -2 in increasing order.\nAnswer: -144, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z = 21. Let l(x) = -6*x - 18. What is the remainder when z is divided by l(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 + -120. Suppose -17 = 2*x - 9, 3*v - z*x = 268. Round v to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, -24, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14)*(-105)\/375\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 6*v. Let z be i(6). Let s = -33.7 + 31. Let m = 0.7 + s. Which is the nearest to 1\/3? (a) m (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/7 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 34*t + 60. Let g be h(15). Let x(f) = f**3 + 5*f**2 - 2*f - 6. Let v be x(-5). Solve g = -2*y - v + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71193.\nAnswer: 3, 19, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -251116700 to the nearest one hundred thousand.\nAnswer: -251100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4466082, -8932146, -13398198, -17864232, -22330242, -26796222?\n\"Answer: c**3 - 4466071*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 3:19 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 - 4.6. Let t = w - -6.00056. What is t rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q - 2*q)*(1 - 82*q**2 + 20*q**2 + 78*q**2 + 6*q).\nAnswer: -16*q**3 - 6*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 674 - 329 - b**2 - 4*b**2 - 2*b.\nAnswer: -5*b**2 - 2*b + 345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*j**2 - 11*j + 11*j + 2 to r + g*j + h*j**2 and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**3 - 3*u**2 - u**3 + 6*u**2 + 74885*u - 77787*u - 3*u**4 wrt u.\nAnswer: -36*u**2 - 12*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 585\/(-30)*8\/(-6). Let v(n) = z*n - 4*n + 11*n + 5. List the prime factors of v(3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**4\/12 + 2*p**2 - 5*p. Determine x(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24007, -48887, -73745, -98569, -123347?\n\"Answer: 2*q**3 - q**2 - 24891*q + 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g. Let i be 0\/3 + 4\/1. Let j be (-33)\/(-6) - 2\/4. Let w(k) = -j*k - 2*k - i*k. Calculate y(w(d)).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 404432082 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -22905*u + 4882. Is v(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 - 3*z**3 + 6*z**3)*(66 - 66 + 82*z**2) + (z**4 - 2*z**4 + 2*z**4)*(-z - z + 3*z).\nAnswer: 165*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 856830 and 53742?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 8\/3*a**3 - 2 - a**2 + a. Suppose -2*h + 1 = -h. Determine i(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 6:50 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkqn. What is prob of sequence qq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -31*f**3 - 16*f**2 + 103*f + 1132. What are the prime factors of o(-12)?\nAnswer: 2, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16940 and 21175.\nAnswer: 84700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5 - 6*v**4 - 6*v**3 + 22*v**2 - 12*v = 0. What is v?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -6 + 1 + -8 + 0 + 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 795793510?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1716\/25 or -70?\nAnswer: -1716\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4492 and 47896?\nAnswer: 53787208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 34113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 + -32. Suppose -188 = -4*q + z. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113.54008*-14\nAnswer: 1589.56112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -160 - -85. Let w = -282 - -201. Let l = w - b. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**2 + 44*s - 5. Let f(p) = 4*p**2 + 23*p - 2. Let h(t) = -11*f(t) + 6*x(t). Give h(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 232. Let o(x) = 6*x**2. What is z(o(h))?\nAnswer: -6*h**2 - 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 10*d**2 - 16*d - 13. Let b be v(-11). Suppose -r = -7*r + b. Calculate the remainder when 26 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-4 + 8) - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.087625 + 0.11967037\nAnswer: 0.03204537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.59 - -5848?\nAnswer: 5844.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j + 1. Suppose 16*c + 19 = 15*c. Let g = c - -30. Let t(i) = 8*i - 6*i - 4*i - 2*i + 5*i. Determine g*t(n) - 2*a(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 627490.9.\nAnswer: 1882472.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.133 and -114?\nAnswer: 122.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 8) + (-10 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + 14\/8. Is g < -46\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -58625.\nAnswer: -1\/58625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}