diff --git "a/data/dm_maths/full_data_2/10203_11255.jsonl" "b/data/dm_maths/full_data_2/10203_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10203_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find g such that -10*g**4 - 103116*g**3 - 265802106*g**2 + 106399216*g + 159506016 = 0.\nAnswer: -5156, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 3. Let q(h) = -h - 7. Let s be q(-10). Suppose -s*y = 2*y - 30. Calculate p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.84422 rounded to 2 dps?\nAnswer: 5.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from qkkkqkq.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415374 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 43 = -155. Calculate the highest common factor of l and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, -4, -1 in descending order.\nAnswer: 0, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 0.2, 0.7 in decreasing order.\nAnswer: 26, 0.7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 97.\nAnswer: 26\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39538 + -39313. Suppose 5*l = -20, -5*m + 133 = -3*l + l. Calculate the greatest common factor of m and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 10*q**3 - 4*q**2 - 63*q - 1. Let j(f) = 50*f**3 - 22*f**2 - 313*f - 4. Determine 11*a(u) - 2*j(u).\nAnswer: 10*u**3 - 67*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a century in months?\nAnswer: 22200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 24*p**2 + 81*p + 25. Let b be a(-27). Suppose -17*c = -9*c - 8. Calculate the greatest common factor of c and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 374 and 1309.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353.842 micrograms in tonnes?\nAnswer: 0.000000001353842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 342*j**2 - 1635*j - 20 + 65*j**2.\nAnswer: 5*(j - 4)*(82*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*(sqrt(209) - (sqrt(209) + sqrt(209) + 1*sqrt(209) + sqrt(209))))\/(sqrt(33)\/sqrt(3)*4 + sqrt(11))*6.\nAnswer: -216*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 589575176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (32 + 6*r - 12 - 22)*(1 - 3 + 6) as q + i*r and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 7. Let n be y(-8). Let v be -1*(2 + -2 + -2). Solve 2*d + g + n = v*g, 5 = -2*d + 5*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23, 88, 189, 326?\n\"Answer: 18*d**2 + 11*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561*f - 714*f + 786*f + 1142*f = 102950 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 14. Let b = f - -81. What is the remainder when b is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101220002 + 11?\nAnswer: -101212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -144 and -0.2011693612?\nAnswer: 143.7988306388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2203177 (base 8) to base 9\nAnswer: -1101327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6449963.\nAnswer: 13, 103, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 195 or -0.042?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 12 = -i - 3*g, 5*i + 34 = -g. Suppose -4*q + 0*q + 8 = 0. Let o(z) = -2 - 1 + 2*z**q - 5*z - z - 3*z**2. What is o(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*3*-1*3)\/(3*(sqrt(847) + (sqrt(847) - (sqrt(847) - (sqrt(847) - (sqrt(847) + -3*sqrt(847)) - sqrt(847)))))).\nAnswer: -sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.3, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3949594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 2*z + 96. Let b = 32 - 14. Let y be 4\/b - (-212)\/18. What is the greatest common divisor of z and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*v - 191*v - 2592 + 400*v.\nAnswer: -2*v - 2592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4943545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 37*s**2 - 1220*s - 44934. Calculate y(-34).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2. Let i(a) = 708582776*a + 145695. Let y(p) = -9727*p - 2. Let n(f) = -2*i(f) - 145695*y(f). Give q(n(r)).\nAnswer: -188684738*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4586*p - 2362. Let l(z) = -4596*z + 2358. Let n(r) = -4*f(r) - 3*l(r). Find the first derivative of n(u) wrt u.\nAnswer: -4556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + 18 + -24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 11 = -b, -2*b - 2 = -5*g - 9. Calculate the common denominator of -77\/58 and b\/(-27) - (-287)\/36.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 1. Let f(a) = -12*a + 14. Let r(v) = -6*f(v) + 84*y(v). Let o be r(-2). Suppose -d + 3*d = o. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103255145 (base 7) to base 8\nAnswer: 27411254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(456\/1216)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900.3115m to kilometers.\nAnswer: 0.9003115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**3 - 9*m**2 - 5*m + 8. Let r be (-124)\/(-10) - 4\/10. Suppose -7*n = -r + 61. Is w(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d. Let y(m) be the third derivative of 25*m**5\/6 + 1245*m**2. Determine y(j(k)).\nAnswer: 12250*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -66*i - 209. Determine u(-1).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 25*b - 53*b + 25*b. Let l(o) = -5*o - 2*o + o. Give k(l(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -11*v + 2. Let o(a) = -2*a**2 - 7*a - 74. Give o(y(t)).\nAnswer: -242*t**2 + 165*t - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -133659005*j**5 - 491*j**2 - 19379.\nAnswer: -8019540300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(7*z + 0*z + 7*z)*(-16*z**4 - z**4 - 29*z**4).\nAnswer: -644*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 1. Let s(m) = 4. Let z = 589 + -573. Suppose -4 = 5*r + z. Calculate r*d(p) + s(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {n: 2, p: 1, v: 1, j: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49093812 divided by 24546906?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n, -f + 3*n + 1101 = f. Let m = f - 489. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(5 - 126\/12). Which is the third biggest value? (a) -49 (b) -3 (c) z (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 6)*(36*q - 11*q - 5*q) + (-1 - 7 + 3)*(5 + 1 - 4)*(3*q + 4*q - 5*q) + q + q - q in the form u*q + m and give u.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61060019.\nAnswer: 337, 409, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 224 - 214.9. Let z = 9 - n. Let d = z + 0.092. What is d rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 44058?\nAnswer: -44056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 5:56 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2117307 plus 0.3139?\nAnswer: 2117307.3139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1365336 to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/288)\/(-2*1\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20092*z**2 - 281300*z - 168 = 0. What is z?\nAnswer: -14, -3\/5023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108922972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 641 + -653. Let b(u) = -u**3 - 11*u**2 + 11*u - 17. Determine b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzn when three letters picked without replacement from nznzznznnn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 2, -0.5, -17, 23, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -50*(-80)\/675 + -6. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/70 and 20410\/(-45526) + 27\/153?\nAnswer: 7210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 + 15440*q\/7 + 2911566.\nAnswer: -2*(q - 8869)*(q + 1149)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-1 - 1 - -1). Let q(a) be the second derivative of 5*a**3\/6 + 2*a**2 + a. Is q(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w - 832 = 6*w. Suppose 2*q = -i - i + 118, -2*i + 240 = 4*q. Let r = q + w. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 1, w: 2, a: 1, r: 2, e: 1}. Give prob of picking 2 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-three quarters of a year?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 10.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (2 + 4 - 5) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 463 divided by -2\nAnswer: -463\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 + 65. Solve -y + 5 = -2*w, y - u*w = -3*w + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - y**3 + 187*y**2 + 200*y**2 - 386*y**2.\nAnswer: -3*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/231 and 11\/27505443?\nAnswer: 302559873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1495824?\nAnswer: 2, 3, 11, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7782594 is divided by 170?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 4\/9 (c) 5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 36*u**2 - 49*u + 536. Give k(35).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5 + 114*a**4 - 1503*a**3 + 7644*a**2 - 10140*a = 0. What is a?\nAnswer: 0, 2, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3 - 1314584*k**4 + 109*k + 1314576*k**4 to h*k + i*k**4 + r*k**2 + m*k**3 + p and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 4. Let g(z) = -4*z - 21. Suppose 6*q + 4*n + 28 = 2*q, -n = 5. Give q*g(y) + 11*b(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -299\/30 - -49\/6. Which is smaller: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*((-51200)\/96)\/(-40).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*m + 698 = -94, -172 = -h - 3*m. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzghsgzhsssn. Give prob of picking 1 z, 1 h, and 2 s.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 + 105. Calculate the smallest common multiple of 32 and p.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 14. Let y be x(9). Suppose y*g - 26 = -6. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 17455497115.\nAnswer: 17455497114.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 75*z**2 - 47*z + 110. Determine v(-37).\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(9\/54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3187 = -4*l, 0 = 3*y - 20*l + 22*l - 1911. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 1 + 1)*(2*l + 47 - 47) + 3*l**3 - 2*l**3 - 3*l**3 + (-2 + 1 + 3)*(l**3 - 3*l**3 + 4*l**3).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -324, -2517, -8466, -20049, -39144, -67629, -107382?\n\"Answer: -313*k**3 - 2*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163125 is divided by 1080.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.3628349612333 less than -0.4?\nAnswer: -20.7628349612333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369 - 236 = -23*y + 78*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 10084179881802?\nAnswer: 10084179881806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -182 + 186. Let a(k) = 2*k**3 + 3*k**2 + 11*k - 8. List the prime factors of a(w).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5080.11 + -5080. Put -5, -1, -0.3, d, -28 in decreasing order.\nAnswer: d, -0.3, -1, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-6))\/((2091\/68)\/41).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -22, -44, -84, -148?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 11. Calculate c(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 - 4*v + 6. Let n be g(2). Is n\/15 - (-64)\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*p + 7*p + 10*p)*(-1 + 0 + 6).\nAnswer: 180*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2163 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -95217 - 332?\nAnswer: -95549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 31*x. Let k(o) be the first derivative of -5*o**2\/2 + 12. Let d(q) = q. Let t(j) = 9*d(j) + 2*k(j). Calculate f(t(n)).\nAnswer: -31*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c + 25*c - 53*c**2.\nAnswer: -53*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and ((8\/3)\/2)\/(6\/45)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (-10 - (8 + -15))) + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 20*l + 6. Let s be z(-7). Let j be 1\/3*120\/(-10). Let m(i) = i**2 + 22*i + 6. Let c be m(-23). Put j, c, s in decreasing order.\nAnswer: c, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 25*o - 29. What is the remainder when w(9) is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + 0*q + 6*q + (16 - 16 - 11*q)*(5 - 9 - 2) to the form h + c*q and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.74 + 15.739321. Round h to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Suppose -5*u = -7 + j. Let y be 1 + u\/((-9)\/3). Does y = 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2869129 and -3.61?\nAnswer: 3.8969129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18620\/(-168))\/95)\/((-6)\/36).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 566617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/((-2)\/(-12)). Suppose -5*c - u*b = -25, 2*b = -3*c + b + 15. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -318 or -311?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkvvbki. What is prob of sequence vbk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -309900*n + 929716. What is z(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, l: 4, c: 6}. What is prob of picking 1 n and 2 c?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4019012 divided by -1004753\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 72 = -3*y, d - 5*y - 58 = -178 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/8*(0 + 2). Let y = 11 + -8. Let z = 11755\/2 - 5877. Sort y, r, -2\/17, z in decreasing order.\nAnswer: y, z, -2\/17, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*p**5 + 8*p**4 + 3*p.\nAnswer: -100*p**3 + 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31 - 13 + 15*m - 5*m + 19*m wrt m.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + (-2 - 9) - (-111 - -103))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**9*(m\/(m*m\/m**4*m))\/m)**(2\/13)\/((m**(-2\/5))**(-5)\/(m*m**1)**(5\/2)) assuming m is positive.\nAnswer: m**(25\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -44 - (-5 + -44)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 17 = -3*k - q, 0 = -k - 2*q - 9. Let r be -5 - (-24)\/(3 + k). Solve s = -3*h - r, -2*s + 5*s = -h + 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-3 + 5 + -5 - 4 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-1)\/2 - -1. Suppose -17*b = -18*b + 35. Let y be (-3 - (-675)\/b) + 4\/(-14). Solve -5*t = y - m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 + 991*d**2\/4 - 124*d.\nAnswer: d*(d + 496)*(2*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19989 and 2475?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-199)\/(-4))\/(1771\/220 - 8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**3 + 16*h**3 + 9*h**3)*(2 + 1 - 1) to t*h + s + m*h**2 + x*h**3 and give x.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 465, 647, 839, 1041, 1253?\n\"Answer: 5*w**2 + 167*w + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288\/(-112)*7*2\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o**2 + 5*o**2 + 8*o**2 - 2*o**2 - 52*o**2.\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 32. Suppose b*f + 24 = -4*f + 3*a, 7 = -5*f - 2*a. What is the tens digit of 69 + f*4\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, 11, 19, 27, 35?\n\"Answer: 8*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60620.\nAnswer: 2, 5, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**3 + 3*b**3 + 2*b**3)*(2 + 1 - 4) + (0*b + 0*b - 2*b)*(12*b**2 - 11*b + 11*b) as a*b + q + t*b**3 + s*b**2 and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -19*a**2 + 29*a**2 - 11*a**2. Let j(h) be the third derivative of h**4\/24 - 2*h**2. Give o(j(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 558 + 566 - 1151 - 43*i as f*i + l and give f.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a - 4. Let w be p(3). Suppose w = 5*b, -2*x - b + 24 - 1 = 0. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d\/(d\/((d**(-8)\/d)\/d))))*d\/((d*d**(-2))\/d))\/(d**(-1))**(2\/131) assuming d is positive.\nAnswer: d**(-784\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-70))\/((-15)\/(-70)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-5)*(-1 - (-168)\/174). Let x = -5.2 - -8.2. Is x <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, o: 7}. Give prob of picking 4 o.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g - 3*g)*(-5*g**2 + 6*g**2 - 3*g**2) - g + 2*g**3 + g - 49*g**2 + 98*g**2 - 47*g**2 + g**3 - 15.\nAnswer: 5*g**3 + 2*g**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5161*h**2 + 610*h**2 + 1621*h**2)*(1 - 1 + h**2).\nAnswer: 7392*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 16) in base 3?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 369287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/3))**(7\/10)\/(o\/(o\/(((o*o*o*o\/(o\/o**(4\/11)*o))\/o)\/o))*((o*o*o*o\/o**(-6))\/o)\/o))**(-37))**(-45) assuming o is positive.\nAnswer: o**(-297813\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 24 (b) -126.09 (c) -2 (d) -3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = -s. Let p be -1 - (s\/5 - 9\/(-3)). Which is smaller: -21\/38 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 - -2.7. Which is the fourth biggest value? (a) 96 (b) 3 (c) x (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -35*k. Let t(y) = -174*y. Determine -24*m(x) + 5*t(x).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 + 2*k**2 - k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29486.88 - 28832. Let c = m - 622. Let p = c - 34. Round p to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1079, 5, -0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*y + 5, 2*y + 4 + 3 = 5*u. Let x(r) = 4*r - 2 - 4*r + 604*r**u + r**2 + r - 605*r**3. Calculate x(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 65.96. Let k = t + 0.04. Let x = k - -3.8. What is the third biggest value in -1\/2, x, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32520905 and 45529267.\nAnswer: 227646335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 22*b - 20*b. Put b, 1, -2, -95 in increasing order.\nAnswer: -95, -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 5 - 8*p + 1142*p**3 - 4*p**2 - 1136*p**3 - 3*p + 5*p.\nAnswer: -(p - 5)*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2311)\/11 + (-2)\/(-22). Let u = n - -213. Solve x - 7 = -u*m, 0*x - x = 4*m - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 n when four letters picked without replacement from {n: 2, t: 11}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 5683?\nAnswer: 37\/5683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 0.3 (b) -2 (c) 2\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7 + 2*g**2 + 1 - 4 + 5 + 3*g + 1. Let r be -1*(2*-3)\/2. Let a be k(r). Solve -u = -2*d - 11, -d + 4*u = -0*u + a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10811\/546 + 3\/91. What is the common denominator of 31\/25 and h?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u - 240. Let c be x(35). Let -24*w**4 - 46*w**2 + 32*w + 262*w**4 - 116*w**5 + c - 134*w**3 + 0*w**4 + 3 + 18*w**5 = 0. What is w?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -605.7 - -606. Which is the third smallest value? (a) g (b) 2\/5 (c) 22 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 4*x**2 - 2*x + 6. Let a be d(-3). Let -4*p**3 + 9*p**2 - a*p - 21*p**2 + 16 + 3*p = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 5*t + 6. Let u be x(4). Suppose -u*j + 34 = -4. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2))**45\/((m**(-1\/6)*m*m)\/((m*m**(1\/11))\/m)) assuming m is positive.\nAnswer: m**(685\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 + 29*p - 57. Let u be n(2). Let a be ((-6)\/4)\/(u\/((-1144)\/33)). Let -1\/3*b**a - 1\/3 + 1\/2*b + 1\/2*b**5 - b**3 + 2\/3*b**2 = 0. What is b?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -59291*t**3 - 843*t**2 - 843*t - 1686. Let y(q) = 281*q**3 + 4*q**2 + 4*q + 8. Give -4*f(x) - 843*y(x).\nAnswer: 281*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 17*p + 14. Let q(h) = -8*h - 7. Let l(s) = 11*q(s) + 6*w(s). Is l(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38991 (base 15) to base 13.\nAnswer: -6452b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 0 + 2 + 1*sqrt(2448) + sqrt(2448) + -3)**2.\nAnswer: -72*sqrt(17) + 22033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -664, 6, -6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188 - -263. Suppose 5*k = -3*v + 97 + 40, -2*k = 2*v - 58. What is the highest common divisor of y and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 1. Suppose 4*p = 2*d - 10, -4*d + 5*p - 10 = -9*d. Let l be d*3*(-6)\/27. Let w be c(l). Solve -2*f + 2 = -w*s, 8*f = 4*f - s - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17680838 is divided by 205?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/22*(-20)\/(-25)*(-105)\/126.\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 359997?\nAnswer: 2519979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/2 - 10128*p**2 - 40521*p\/2 - 10131.\nAnswer: 3*(p - 6754)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -465 <= -83979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*((4 - 2 - 1)*(-3*l + 4*l + 3*l) - 6*l + 2*l + 3*l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -70e76b2?\nAnswer: -70e76b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzavzlavaazzlzzzaal.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/1 + (-23205)\/(-273)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 41*b - 7418. What is t(109)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32325.46l?\nAnswer: 32325460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34098022?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 17 = -5*q + 6*z, -3*q - 3 = -5*z. What is the remainder when 241 is divided by 125 + (12 - 11)*q\/4?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*c + 4*h - 358, h + 516 = 3*c. Suppose -223 - c = -3*y. Let t(r) = 3*r + 9. What is the least common multiple of y and t(-1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-12)*3)\/(80\/32).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 4:47 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22168 + -1031. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246444, -246441, -246436, -246429?\nAnswer: -246420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/34 and 55\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -141423?\nAnswer: -141420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/(1\/(2\/10)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1532*c - 2*c**2 + 734*c + 1074*c.\nAnswer: -2*c**2 + 276*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 8:29 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, s: 1, o: 2, u: 2, x: 2, y: 3}. What is prob of sequence uoxx?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (33\/6)\/(2\/4). Let w be 58000\/(-1 - d\/(-10)). Round w to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 190822 or 199309?\nAnswer: 190822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1957, 1997, 2037, 2077, 2117, 2157?\nAnswer: 2197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215661962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 5:23 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -2\/9, 9, 0.4.\nAnswer: -2\/9, 0.4, 9, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + sqrt(2736) + sqrt(2736) + -4 + -3 + (sqrt(2736) - (2*sqrt(2736) + 2) - (sqrt(2736) - (0 + sqrt(2736))*2)))**2.\nAnswer: -624*sqrt(19) + 11113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/105*(-9)\/1*(-1295)\/37?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2494092 or -2494093?\nAnswer: -2494092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 19. What is the smallest common multiple of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201 - -417. Let i(q) = 5931*q + 65251. Calculate the remainder when h is divided by i(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92262 to the power of 1\/2, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/12 - 46\/(-12). Let j(u) = u - 2. Let s be j(n). Calculate the greatest common factor of s and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2762535717 is divided by 2009?\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/(-4)*391\/((-167739)\/390)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 438\/(-292) - (2\/(-2) - 0). What is the nearest to -2\/7 in 4, -0.2, h, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-21692)\/561*6*3\/24?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16442.9999976531 + -16443. Round q to 7 dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, j: 6, u: 1, w: 1, f: 3}. What is prob of picking 1 j and 1 a?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-44)\/(-330) + (-158349)\/(-45)?\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 3. Give p(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 15*t + 56. Let p be o(-7). Suppose p*f**2 + 0*f**4 - 1\/2*f**5 - 1\/2*f + f**3 + 0 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9)\/c**(-4\/7)*(c*(c*c**(-1\/2)\/c)\/c*c*c)**(-4\/9) assuming c is positive.\nAnswer: c**(-191\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 755 and -70457666?\nAnswer: 70458421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.81 + 0.19. Let o = q - 12. Which is smaller: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2) + -4 - (sqrt(11) + 1 + sqrt(99))**2.\nAnswer: -181 - 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -514533, -514525, -514517, -514509, -514501, -514493?\n\"Answer: 8*p - 514541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**3 + 159*m**2 - 12*m + 638. Let p be s(53). Let -5\/3*k**3 - 5*k**4 + 65*k**p - 115\/3*k - 20 = 0. Calculate k.\nAnswer: -4, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) 1\/5 (c) 6 (d) 642 (e) -6 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2705 or 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = -377 - 767. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u + 7. Calculate c(16).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 - 8*d + 8. Let r(j) = -j + 11. Let a be r(7). Let n be x(a). Solve -i = 5*l + n, 0 = -5*i + 3 + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8614 (base 9) to base 15.\nAnswer: -1d21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t - 5. Let w be p(4). Suppose 4 = 3*d - w. Let c(q) = 4441*q - 5. Let j be c(d). What is j rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = -2, -2*k + 3*u = -16. Suppose -k = -2*z + 8. Suppose -2*c - q + 17 = 0, 0 = -z*c + q - 2*q + 38. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (496 - 494 - 273)*(0*g + 6*g - 4*g)*(2 - 2 + 1).\nAnswer: -542*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 907529827 to the power of 1\/2, to the nearest integer?\nAnswer: 30125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20726972 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*z**3 - 28*z**3 - 39*z**3 - 31*z**3 - 41*z**3 - 36*z**3 + 8*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjkjvvjjgujpu. Give prob of picking 2 v and 2 u.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 11*m - 20*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -749431 + -214.1.\nAnswer: -749645.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/16)\/((-35)\/112)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636614243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7))**(24\/7)\/(z**(-1\/4)\/(z*z\/z**(1\/7))))**(1\/2) assuming z is positive.\nAnswer: z**(221\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15317116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/2 - 2*l**3 + 3*l**2\/2 + 5*l - 4 = 0. Calculate l.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -1 (b) -10 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_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: Let c = -33 + 63. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533072.\nAnswer: 2, 33317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, 3\/7, -52?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/(-1870)*(-6)\/(-3)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1831 (b) -0.105 (c) 1\/8 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 309866437?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 22*t + 13 = f, -5*t = -3*f - 16. Suppose -5*y + 33 = -f*x, -5*x + 3*y - 39 = -0*x. Let s(r) = -2*r + 3. Give s(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4850400 to the nearest 10000.\nAnswer: 4850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: a43 (base 13) to base 2\nAnswer: 11011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 28*z - 34. Determine o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -3 (b) -0.4 (c) -0.019\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n**3 + 7*n**3 - 4*n**2 + 4*n**2.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6899, 6530, 6149, 5750, 5327, 4874?\nAnswer: 4385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 42) + 3 + (2 - -3) + 28 + -32.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -178890*h**5 + 32587*h - 11 wrt h?\nAnswer: -3577800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48985*p**3 - 22*p**2 - 27 wrt p.\nAnswer: 293910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 471*c + 9. Let x be f(5). Suppose x = 8*a - 84. Calculate the highest common factor of 34 and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*l - 414*l + 5*q = -5, 0 = 3*l + 4*q + 39 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3231357*i + 1615629*i - 2*i**2 - 2*i**2 + 1615626*i.\nAnswer: -4*i**2 - 102*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from {u: 4, o: 6, b: 2, p: 3, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8320637018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 333, 876, 1625, 2574?\nAnswer: 3717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1291561.1117 to the nearest ten thousand.\nAnswer: -1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*(1*sqrt(175))**2.\nAnswer: -2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0455 - -208.0455. Let g = 207.9907 - d. Round g to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31306?\nAnswer: 2, 11, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4 = -4*d, -3*d + a = -3*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -345*g**2 + 5256*g**5 + 154*g**2 - 499*g**2 - 4626*g**5 wrt g?\nAnswer: 37800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-128)*4)\/((-2)\/(-8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18654 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 2*d**2 + 3*d + 25. What is m(4)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 20963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1519 and 10934.\nAnswer: -16608746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128230779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/(((y*y\/(y**(1\/3)*y)*y)\/y)\/y))\/y*y))\/(y**(-2\/21)\/y))**8 assuming y is positive.\nAnswer: y**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnjwwnnnjnnjnwwnw. Give prob of sequence njj.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 30. Let t be h(-20). Suppose -2*y - 4*d = -52 + t, 0 = y + 3*d - 25. Let f = -40\/3 + y. Does -0.1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76303639 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0004 and -5.\nAnswer: -5.0004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2\/3 + 20016321*c - 24019586\/3.\nAnswer: (c + 12009793)*(5*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjsjjsjjsjjjjjjr. Give prob of sequence jsrj.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4292 in 4\/3, -1\/2, 0, 0.5, -0.1, -2\/15?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 8. Let a = 170 - 60. Let o = a - 334\/3. What is the third biggest value in -3, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*n - 17*n - 966. List the prime factors of n.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*c**5\/4 + 21*c**4\/4 + 13*c**3\/4 - 21*c**2\/4 - c\/2 = 0. Calculate c.\nAnswer: -1, -1\/11, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2790\/(-372)*(16128\/60)\/(-16).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9887, 19749, 29617, 39485, 49347?\nAnswer: 59197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:09 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/12 and -77\/1065495.\nAnswer: 4261980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/((-2)\/4*-4). Suppose r - 4 - 2 = 5*h, -3*h - 4*r = -1. Let t be -1 - (4 - 2)\/h. Sort i, -4, t.\nAnswer: -4, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -266.0664 - -0.0664. Let p = b - -265.98. Is -0.7 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5774 + 5775 + (1 - (-1 - -14)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**2 + a + 3. Let g be u(-2). Is 138 + g\/(-6 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, h: 2, y: 3, p: 1, m: 1}. Give prob of sequence jj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 11) + -1 + 8 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -604. Let o(b) = -603 + u + b. Let l(w) = 2*w**2 + 5*w. Let s(q) = q**2 + 2*q. Let a(x) = -2*l(x) + 5*s(x). What is o(a(n))?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**2 + 7*f + 6. Let j(z) = -z**2 - 2*z - 1. What is 6*j(t) + v(t)?\nAnswer: -2*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 374727*x + 374730.\nAnswer: -3*(x - 124910)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-3)\/3) - 2. Let s be v\/(-14) - (-340)\/35. Let j = s - 9. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.346 - 92.346. Let x = j + 91. Which is the nearest to x? (a) -9 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -907*b**2*x**2 + 177380*b*x**2 - x**2 - 88254642 wrt b?\nAnswer: -1814*b*x**2 + 177380*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m - m + 5*m)*(-921 - 778 - 3746) in the form o + y*m and give y.\nAnswer: 5445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/63 + (-266)\/441. Is t != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcpgpggcsfkfkgs. What is prob of sequence sk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 14*s**3 + 1557*s**2 + 298*s - 3885. What is c(-111)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55035, 55050, 55069, 55092, 55119, 55150?\nAnswer: 55185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35322 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130 (base 8) in base 11?\nAnswer: -4a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 0*v**2 - 4\/3*v**3 + v - 126. Determine n(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3 + 3*x**3 + 5 + 7*x.\nAnswer: 3*x**3 + 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n\/(n\/(n\/n**(-13)))))\/n**9)\/(n**15*n**(3\/10)))**14 assuming n is positive.\nAnswer: n**(-2541\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22 + 2 + -7 + 4. Let l = -19 + z. Suppose 0 = -2*y - 10, 4*k + k + l*y - 230 = 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 16 = 0, 3*x + 4*u = 2*u - 23. Which is the third biggest value? (a) 0.4 (b) -2 (c) x (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6*l = -4. Let n = 7 - l. Solve 2*u = n*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 8\/3*r**4 - 4\/3*r**2 + 0*r + 10\/3*r**3 + 2\/3*r**5 = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*g**3 + 2*g**4 - g + 68*g**3 + 86*g**3 in the form j*g**4 + x*g**2 + y*g**3 + t*g + h and give y.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 1:02 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**3 + 0 + 0)*(-3076*q - 148*q - 5284*q) to the form x*q + l*q**3 + h*q**2 + d + g*q**4 and give g.\nAnswer: 17016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**2 - 238656*x - 3559792896 = 0. What is x?\nAnswer: -29832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 259224+0.12\nAnswer: 259224.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*l - 24, -2*f + 3*f - 12 = 4*l. Let y = f - -4. Suppose -s + 0*s = y. Solve s*a = -4*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*u + 4. Find the second derivative of -8*f + u*f**4 + 5*f - 4*f**4 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10679, -11437, -12197, -12959, -13723, -14489, -15257?\n\"Answer: -l**2 - 755*l - 9923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 6*m**2 + 6*m - 5. Let v be n(5). Let a(w) = w**2 + 2*w - w + v*w**2. Let z(d) be the second derivative of d**3\/3 - 3790*d. What is z(a(h))?\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 13*u**2 + 259*u + 235. Calculate h(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-75)\/(-3))\/(-1) - 2. Let c be ((-13)\/(-3))\/((-3)\/z). Let l = -9 + c. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325\/10*-2*(-18)\/15 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 27818528?\nAnswer: 27818528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088 greater than 461424\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 945 and 1155?\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 637 - 637.11. Put 4, b, 1\/8 in ascending order.\nAnswer: b, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72 - -85) + -103 + 37?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3) + (-68)\/24*2. Let p be ((-1)\/4)\/(i\/(-24)). Which is the closest to p? (a) -4\/3 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*d + 312*d + 1966*d.\nAnswer: 2623*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - 146. Let h = l - -152.00329. What is h rounded to 4 decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -139040 - -28?\nAnswer: -139012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2 + 204615*x + 1637240 = 0. What is x?\nAnswer: -8, 40931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1554312 (base 6) in base 12?\nAnswer: -45998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from yubtabwt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -238 - -132. Let v = z - -113. Suppose -60 = -11*t + v*t. Solve -4*u - 12 = -8*n + 4*n, 5*u - t = -5*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 - o - 4 - o + 3*o**4 + 2 as m + b*o**2 + n*o**4 + g*o**3 + d*o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 8:42 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 6, -3, 2085 in increasing order.\nAnswer: -3, 2, 3, 6, 2085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*x + 2*r = -125*x + 24, 4 = 2*x + 3*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.27 (b) -0.0846 (c) 0.2 (d) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 3516 = -3501 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.068 * -1.5345.\nAnswer: -0.104346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**4 - 3*x. Let t(c) = -c**3 - c - 4. Let y be t(0). Let u(s) = -s - 3*s + 2*s. Let a(f) = y*d(f) + 5*u(f). Find the second derivative of a(p) wrt p.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + 5*w**5 - w**5 + (2 - 1 - 3*w + 4*w)*(-3978*w**3 + 13*w**4 + 3978*w**3).\nAnswer: 16*w**5 + 13*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/615 (b) -0.8 (c) -1\/3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 180 = -l. Suppose 2*g - 7*g = 0, 3*x + 4*g = -6. Let w be x\/4 + (-34)\/l. Are 0 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18279 - 12*l + 18279 + 0*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(550)*-2 - sqrt(550))*6)\/(-4*(sqrt(10) - sqrt(40) - sqrt(10))))\/(-5*(sqrt(315) + sqrt(35))\/sqrt(7)*-3).\nAnswer: -3*sqrt(11)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/117, 0, 7 in decreasing order.\nAnswer: 7, 0, -2\/117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 22760 + 22845 = x, 2*x + x + o + 35 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24206384 and -6.5332.\nAnswer: 24206377.4668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -1545020?\nAnswer: -1545012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {n: 6, e: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.8 - -1.2. Let h be 3\/12 - 2\/(-8). Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n = 2*i + 35, 385*n - 389*n - 62 = -33*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**2. Let g(k) = 18*k**2. Determine v(g(x)).\nAnswer: 1296*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*m**3 + 429744*m**2 + 1349898*m + 1060444.\nAnswer: 2*(m + 4382)*(7*m + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/5)\/((5\/(-3400))\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48462 divided by 6\nAnswer: 8077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaqqmzqqm. What is prob of picking 1 m and 1 z?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*x = -2*u - 10, 5*u - 3*x = 25. Suppose 0 = -u*n + 6 + 54. Suppose 0*r = -r + n. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*y + 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*a**4 - 339575*a**2 + a - 1404379 wrt a?\nAnswer: 12*a**3 - 679150*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -324502 greater than -1947017\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*3)\/(15\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/88 and 524\/22*8*(-14)\/2240.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7950350?\nAnswer: 2, 5, 29, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*n - 685*n + 95 = 63645 for n.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -75 + -2 - -1. Let l = i + 144. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:18 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 + 94*j**2 - 194*j + 1. Calculate m(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 17. Suppose l*n = 18*n + 4. Suppose -k = 2*k - 5*i - 163, -5*k - n*i = -210. Calculate the highest common divisor of k and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 9*n**2 - 3*n**2)*(0 - 3 + 0) + 5*n**2 + 3*n**2 - 4*n**2.\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b. Let d(z) = -375*z**2 + 2039. Determine h(d(w)).\nAnswer: -1500*w**2 + 8156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1159 - 939. Calculate the greatest common factor of 132 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x*x**(-14)*x))\/x*x)\/((x**(-1\/4)\/x*x)\/x))\/((x**0*x)\/x*x\/(x**(8\/7)*x*x)) assuming x is positive.\nAnswer: x**(487\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e9b + 0?\nAnswer: -e9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 12:22 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852962 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -768.493 - 47?\nAnswer: -815.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4 + 2*y**2 - 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.232 plus 79604?\nAnswer: 79604.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 549*x**2 + 1 - 10*x**3 - 549*x**2 to k*x**3 + n + y*x**2 + l*x and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 636447?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/5 - 1071*i**2\/5 - 95049*i\/5 + 96123\/5.\nAnswer: -3*(i - 1)*(i + 179)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3611, -3612, -3613, -3614?\n\"Answer: -l - 3610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 5. Let v be o(-3). Let z(g) = 9*g**3 - 2*g**2 + 2*g - 1. Calculate z(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79*380\/25280)\/((12\/16)\/((-6)\/2))?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 29968\/4 + (2 - -6). Suppose 5*z = k + 3*k + 254388, -3*z + k + 152637 = 0. Let d be z\/((-2)\/(f\/9)). What is d rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/((-15)\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -18*j + 12348. Suppose -11*l - j + 2501 = 0. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - x - 4*x + 5 = 0, f - 4*x = 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 214*r**4 + 8 - 212*r**4 - 8*r**2 - 32*r - 9*r**3 + 31*r as b*r + j + t*r**3 + z*r**2 + k*r**4 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = -2*f - 4*z, 4*f = 3*z + 267 + 448. Let u = f - 115. What is the highest common divisor of 110 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1880?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 16*b**2 - 24*b + 74. Calculate p(-15).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13338)\/(-37791)*(-17)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 78*t - 51*t + 6 + 18*t + 63*t.\nAnswer: 108*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58017, -115995, -173973, -231951, -289929, -347907?\nAnswer: -405885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/2788 and 27\/1088.\nAnswer: 44608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010205067 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 621110 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, e: 6, m: 1, x: 1, h: 1, y: 5}. Give prob of picking 1 y, 1 h, 1 z, and 1 x.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4925, -4890, -4855, -4820, -4785, -4750?\nAnswer: -4715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -14. Let v(x) = -2*x - 1. Let n(t) = t**2 + 11*t + 6. Determine w*v(a) - 2*n(a).\nAnswer: -2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*l + 231*l + 277*l.\nAnswer: 395*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 9:56 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -8. Let s be 39\/9 - (-1)\/(-3). Suppose -4*j - 3*c + 138 = 0, j + s*c - 35 = 3*c. Calculate the remainder when j is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 37147*l = 37152*l + 45, 4*f + 15 = 5*l for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28563261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314320244 (base 5) to base 9.\nAnswer: 2436071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -2*x - 14. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 31. Let i be l(10). Is 35 a factor of (-2)\/4 - 351*i\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -8 + 1 - (1 + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpkfpkg. Give prob of sequence fg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 17. Give a(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 17. Is 2 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 + 70 - 70 + (r**2 + 0 + 0)*(-1 + 0 - 1).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -0.9. Let s = r - -0.6. Let x = 38520.2 + -38520. Which is the biggest value? (a) s (b) x (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2 + sqrt(51)\/sqrt(3))*-1*-6 - (sqrt(425) + 5 + sqrt(17) - sqrt(17) - (-6*(sqrt(17) + -1 - sqrt(17)) + sqrt(17))))**2.\nAnswer: 52*sqrt(17) + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5618 = 3064*y - 3129*y - 1783 for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 537850*r + 2323066 with respect to r.\nAnswer: 537850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 10 = 5*s, -1 - 10 = -2*s - v. What are the prime factors of (-2142)\/(-8) - s\/4?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-30))\/((-10)\/(400\/12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 26 = -120 - 56 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 12:37 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + -51 - 41 - -20.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 143, 418, 881, 1532?\n\"Answer: 94*b**2 - 7*b + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -1457.\nAnswer: -2914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 0 - 3 + 2)*(2 - 3 + 0)*(-11*a + 0*a - 2*a).\nAnswer: -39*a**2 - 13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07330695 + 0.07344. Round g to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 + 19*q + 14. Give d(-7).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 + 0*d**3 + 0*d**3 + (-2 - 4 + 4)*(0*d**3 - 2*d**3 + 0*d**3))*(-d - 2*d + d).\nAnswer: -14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134*n**3 + 337*n**3 - 28*n**3 + 367*n**3)*(-3*n - 2*n + 3*n).\nAnswer: -1084*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.91026 millennia to years.\nAnswer: 17910.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*a = 2*b + 98, -4*b + 2*a - 302 = 0. Let z = 84 + b. Let y(c) = -5*c**2. Let r(n) = 5*n**2. Determine z*r(u) + 5*y(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/6 and 65\/1318.\nAnswer: 3954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 30 + 33. Let z = 105 + -527\/5. Which is the closest to z? (a) -7 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 246?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*n + 4*u - 25, 0 = -3*n - u + 20. Let k = -3 + n. Suppose k*q**2 + q**2 + 5*q - 6*q**2 + q = 0. What is q?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o - 15 = 0. Let q(z) be the first derivative of 0*z**3 + 17\/5*z**o + 3 - 3\/2*z**2 + 0*z + 0*z**4. What is the second derivative of q(f) wrt f?\nAnswer: 204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 - -949921?\nAnswer: 949943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2*i + 21 = 0, -17*i - 1 + 17 = -4*p - 16*i + 5 + 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c - 10*c + 9*c**2 - 9*c + 26*c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*v + 165*v + 258*v)*(0 + 0 + 2*v).\nAnswer: 994*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3540*u**3 + 1205*u**2 - 2524791 wrt u.\nAnswer: -10620*u**2 + 2410*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:51 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*p - 31*p + 3473 - 2906 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1151826668.\nAnswer: 2, 1597, 180311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p - 16. Let d be a(-8). Solve 3*x - 2*x - 3 = d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 24*g**2 - 109*g. Let u be q(-18). Suppose 0 = -u*y + 44*y - 1872. What is the remainder when y is divided by 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 32 = 4*t + 5*d, -t + 21 = -3*d. Let h(b) = b**3 - 17*b**2 - 18*b + 36. What is the remainder when 142 is divided by h(t)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 47*x + 23*x + 26*x.\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, j: 7}. What is prob of picking 3 j?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -678fc (base 16) to base 9.\nAnswer: -715780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4, -4*q - 73159 = -23*p + 20*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272\/510*(-6)\/(-8)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1937105396?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 3 = 2*a. Let o be (1 - (-4)\/a)*3 + 17. Suppose 0 = o*x - 14*x - 300. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*(((j\/(j*j**(-2)\/j)*j)\/j)\/j*j)\/j)*j\/(((j**(4\/3)\/j)\/j*j)\/j)*(j**(2\/5)\/j)\/j**3 assuming j is positive.\nAnswer: j**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 20489 and 20488 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -5063, 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(44) - 3*sqrt(2816))\/sqrt(4))**2.\nAnswer: 46*sqrt(11) + 5820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171.16596*0.11.\nAnswer: -18.8282556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w + 38*w + 31 = -4*q, -4*q - 8*w - 136 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-18) - (-1)\/2. Sort -1\/3, 0.4, y in descending order.\nAnswer: y, 0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14160 and 934560.\nAnswer: 934560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 7:31 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20249 = -5*d + k, 181*d + 12154 = 184*d + 4*k. Calculate the greatest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o**2 + 31*o - 48. Let l(q) = 3*q**2 - 10*q + 16. Let d(y) = -14*l(y) - 4*w(y). Suppose d(c) = 0. Calculate c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l, 4*l = -4*j + 2806 + 1686. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**2 - 550*j - 263. Give s(79).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cree. What is prob of sequence ec?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835*p - 826*p - 709*p + 2388*p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.32 + -0.28. Let m = -138 + 139. Which is the nearest to -0.1? (a) m (b) h (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-284450)\/(-15) + (38\/30 - (-114)\/(-190))?\nAnswer: 2, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35568 and 27405144?\nAnswer: 54810288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, k: 1, i: 1, w: 1, n: 1, c: 1}. What is prob of picking 1 n, 1 w, and 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (3*(sqrt(128) + sqrt(128)*1 - sqrt(128)) - (5 + 1*sqrt(128)) - -3*(-6*(sqrt(128) + 0))**2).\nAnswer: 16*sqrt(2) + 13818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ammm when four letters picked without replacement from vaam.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, -9, 2, 11.\nAnswer: -11, -9, -3, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + 0*a + 4*a)*(1 - 8 + 1) - 714*a + 93*a - 305*a as l + u*a and give u.\nAnswer: -932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -1 + 4*r**2 + 2 - 5*r**2. Let s(i) = 5*i**2. What is s(k(t))?\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from hoo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -325*(-10 + 470\/50) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/1521 - -2537\/1521. Sort 2\/13, w, 20, -0.3 in decreasing order.\nAnswer: 20, w, 2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d**2 - 880*d + 27499. Calculate g(58).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from {e: 3, o: 2, t: 4, x: 2, j: 3, c: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 1\/2*z**3 + 9\/2*z + 0.\nAnswer: z*(z + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39010 is divided by 5723.\nAnswer: 4672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 5241.4914 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.5 + 6.7?\nAnswer: 17.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 1\/25 (c) 0.02 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/8)*i**(-1)*(i*i**(2\/7))**(-9))\/((i\/(i\/(i*i**2)))\/(i\/(i*((i*i\/i**(2\/11)*i)\/i)\/i*i)))**29 assuming i is positive.\nAnswer: i**(-93277\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3 = -3*t, -t = 2*l - 6*l - 1. Suppose d + 2*d - 75 = l. What is the remainder when d is divided by (-4)\/14 + (-200)\/(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 + 4*w - 1. Let z(d) be the second derivative of 5*d**4\/12 + d**3\/2 - 2*d - 394. What is -3*h(y) + 4*z(y)?\nAnswer: 2*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 3 + 27. Suppose -5*k - 53 = -o, -o - k + 21 + u = 0. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000027517 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 272188 + -1?\nAnswer: 272187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 9*h - 2. Let n = -20 + 36. Suppose -3*p = n + 5. What is the units digit of l(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-650)\/570) - (-10 - 1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60687319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b - 4 = 2*w, 12 = -4*b - 5*w. Let c be (-256)\/(-44) + b\/11. Suppose c = y + 2. Solve -2*p - 2*s = -4*p, 20 = y*s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25340 and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 16*d**2 - 35*d + 24. Let g be i(-18). Solve g = k + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/320 and (-400)\/20 + 32 + 1532\/(-116).\nAnswer: 9280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 28 = 8*m. Let b be ((-2)\/5)\/(m\/70). Solve -b*o + 0*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 688 (b) -5 (c) -3\/16 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 = -17*r - 198. Suppose 17*q - 41 - r = 0. Solve -4*t + 0*j = -q*j - 8, 5*j = 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(1362*h + 1624*h - 368*h).\nAnswer: 5236*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -272.16 + 271.76. What is the closest to 0 in -3, 890, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -947 + 536 - 285*s - 1260 wrt s.\nAnswer: -285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847223163 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = -18. Let c = 22 - 4. Let y = -11 + c. What is the smallest common multiple of y and h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -456, -1069, -2122, -3639, -5644, -8161, -11214, -14827?\n\"Answer: -4*t**3 - 196*t**2 + 3*t - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131\/5 - -1451\/55. Factor 0 - 2\/11*s**2 + i*s.\nAnswer: -2*s*(s - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6 + ((-238)\/168 - 0).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559*q + 11*q = 0. Let p(z) = z**2 + z + 4. Let s be p(-3). Suppose 2*x = 3*x - s. Solve -4*n = -b + x, 11 = -5*n + 2*b - q*b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2182561594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + (sqrt(175)*3 - sqrt(175)) + -4 - (sqrt(175) - (-2 + 1 + sqrt(175)) - (-1 + (0 + sqrt(175))**2))).\nAnswer: 10*sqrt(7) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 45 - 9*l**3 + 24 + 6*l**3.\nAnswer: -3*l**3 - 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 6651074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45a9 + cb?\nAnswer: -44de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 20*i - 18*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6202 to 2 dps.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-2)\/(-3))\/((-6)\/(-63)))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13442352 (base 6) in base 10?\nAnswer: 456764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -53404110?\nAnswer: 53404102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 + -2.2. Let f = 0.1 - 2.1. Which is the nearest to 0? (a) u (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from eewj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/sqrt(175) - sqrt(7))*4.\nAnswer: -16*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 7 + 5. Suppose -4*r - 3*n + 12251 = 0, -2*n - n = -f*r + 6103. Let q = r - 1529. What is q rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14203\/2 - -7101. Let n = 15\/52 + -7\/13. Which is the third smallest value? (a) 0.4 (b) w (c) n (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6368799, 6368804, 6368809, 6368814, 6368819, 6368824?\nAnswer: 6368829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 5*g - 4. Let s(h) = h**2 - 4*h - 3. Let d(t) = -5*s(t) + 4*x(t). Let l(c) be the first derivative of d(c). Let q(z) = -3*z. Determine l(q(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7920133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 5:01 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o - 152. Determine f(22).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 4) to base 5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1724610 and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 162.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9761*w**3 + 8854*w**3 - 18627*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -52. Suppose 4*n + 200 = -4*y, -2*y + 4*n - 118 = -0*n. Let s = j - y. Calculate the greatest common divisor of s and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.1 (c) -4 (d) 16.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143464 divided by -5.\nAnswer: -143464\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1693 is divided by 213.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -2.1?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwwjwwjwjj. Give prob of picking 1 j and 3 w.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27119288*f**4 - 5978737?\nAnswer: 108477152*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.19 + -20.19. Which is the closest to g? (a) 0.5 (b) -4 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 1375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -189823 (base 10) to base 12.\nAnswer: -91a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1232*n**3 + 1259*n**3 + 1231*n**3 - 4962*n**3 + 1231*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437 = -28368*k + 28429*k - 3894 for k.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1055*d**2 + 200 wrt d.\nAnswer: -2110*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 7 + 3 - 1)*(-2*s**2 + 6*s**2 - 2*s**2).\nAnswer: -2*s**4 - 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 699 - 640.6. What is f rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 9 (c) 2 (d) -677 (e) 1 (f) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11583663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*u - 257*u - 6 + 6.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, 1, 0, -0.77, 6\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7b49 - 5?\nAnswer: -7b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1461 + -617. Let n be f*1 + 1\/(1\/(-4)). Round n to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4943 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*y - 267 = 0, 98 - 78 = 4*y. Calculate the remainder when 1378 is divided by d.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 13. Suppose g*a + 4*y - 8 = 2*y, -2*y + 8 = -3*a. Suppose 0 = -2*c - a*c + 124. List the prime factors of c.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 10 (b) -7 (c) -5 (d) -150\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -826.811 - -20.761. Let z = 806 + g. What is the nearest to 1\/3 in z, -1, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.337 and 21150.9447.\nAnswer: 21152.2817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 2*n + 104. Suppose -z - 4*u = -13, 5*z = 3*z + u + n. Suppose 14 = -2*a + 88. Calculate the remainder when a is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-55))\/((-21)\/(-21))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6807 or -6814?\nAnswer: -6807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 416217.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 96*r**2 - 115*r + 1724. What is s(97)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)*-2)\/sqrt(8) - sqrt(20))\/sqrt(10).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - a**2 + a + 77. Calculate the remainder when r(0) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -408*v - 9793. What is j(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/22 and ((-8)\/96)\/((-39)\/(-246)).\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4548689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 8. Let j be o(-6). Let p = j + -2. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2 - 3*f - 10. Let j be p(3). Let c = 38 - -37. Let d = c - j. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 7*h**2 - 6*h + 2. Let g be a(6). Suppose -2*b - 17 = 1. Let v = 0 - b. Solve 3*u + v = 3*k, g*u = -4*k + 3*u + 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85\/4 + -21. Let o be 1 - -1 - (2 - 3). Suppose -3*p + 2*w + 6 = 0, 2*p = o*w + 6 + 3. Which is bigger: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3708, -14675, -32904, -58395, -91148, -131163, -178440?\n\"Answer: -3631*w**2 - 74*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 1 = -u, -u - c + 1 = -0. What is the lowest common multiple of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/168 and -59\/63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298186 is divided by 45?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/3) - 47\/(235\/45).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 2\/35*d**7 + 7*d**2 + 0*d + 0*d**5 + 1\/2*d**3 + 0 + 0*d**6 + 0*d**4. What is the first derivative of m(k) wrt k?\nAnswer: 48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.457295 litres to millilitres.\nAnswer: 2457.295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1153 or 19581\/17?\nAnswer: 19581\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*m - 14*m + 7*m + 31.\nAnswer: -31*m + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 6:41 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 5:19 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 120 = -j, -2998*j - 135 = -5*c - 2993*j for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*z**3 - 87673*z + 87673*z + 355*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/3294776 and -13\/21827891?\nAnswer: 174623128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/((n**(-2\/5)*n)\/n))*n*n\/n**2*n**(1\/4)\/n*n*n*n*n\/n**(1\/9)*n*n)\/(n**(-1\/2)\/n**0*n**1\/(n\/(n*n**3)*n)) assuming n is positive.\nAnswer: n**(403\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1841300, 1841398, 1841498, 1841600, 1841704?\nAnswer: 1841810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/11 - 2104*m**3\/11 + 22972*m**2\/11 - 72920*m\/11 + 52050\/11 = 0.\nAnswer: 1, 5, 1041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - y = 1, -5*y - 3 = c - 5*c. Suppose -c*u + 21 = -u. Let i be ((-10)\/(-15))\/(2\/u). What is the highest common factor of 35 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 976145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 955 and 246405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*f - 516*f + 1059*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**6\/60 + c**5\/30 + c**4\/12 - c**3\/3 - 11*c**2. Factor u(v).\nAnswer: -2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 3*f**2 - f - 3. Let h be p(4). What is the highest common factor of 6 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180920 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 l = 0.11889 + -0.11889. Which is the closest to l? (a) -894 (b) 1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1107 = -505*y - 3438 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -44, -77?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqqc when four letters picked without replacement from ivqciqvqiiiitcq.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - g + 2*g - 4)*(-2 - 1 + 2)*(-3 - 3 + 2)*(-5 + 1 - 1) in the form b*g + m and give m.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 543\/27 + 17 + -36 + -8 + 7.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41311 - -368?\nAnswer: 41679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -235\/3*c**3 + 0*c**2 - 29*c + 140. Differentiate g(h) wrt h.\nAnswer: -470*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -5, 1\/6, 0.3, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 166507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 6. Suppose -4*t - 68 = -v*t. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -215, -207, -207, -221?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000061102916 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3126 + -3126. What is the third smallest value in 1.6, -45, r?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 2 = 18*w. Which is the third smallest value? (a) w (b) 1\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*x - 11, -3*b + 1 = 4*x - 2. Suppose g = -f + 14, f - 5*f + 39 = 3*g. Solve 4*y = -o - 3, 4*o + g = -3*y + b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 7*s**2 - 9*s + 8. Let l be y(-8). Suppose -l = -4*x + 24. Let j(o) = 10*o - 3*o**2 - x*o. Let c(r) = r. Determine j(c(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2831980 and 11\/740?\nAnswer: 2831980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let x(h) = 5*h + 14. Let d(p) = 4*c(p) - x(p). Give d(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000450903 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 + q - 3. Let k be (22380\/(-21))\/10*-7. Let p(w) = w + 3*w**2 - 1484 + k + 736. Give 7*p(s) - 5*z(s).\nAnswer: s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 7) in base 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 11*q**5\/5 - 3*q**4\/4 - 7*q**3 + 357. Find the third derivative of i(a) wrt a.\nAnswer: 264*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*a - 84, 2*r + 226*a = 231*a + 106. What is the remainder when 417 is divided by r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 1023 = 74*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -415, -413, -399, -367, -311, -225, -103?\n\"Answer: a**3 - 5*a - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(0 + 0 + 3)*(-435 + 217 + 243 + 2*f**2).\nAnswer: -18*f**2 - 225","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o - 4. Let h = -757 + 760. Solve h*p - 20 = -o*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {r: 3, f: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 4*j**7\/105 + j**5\/15 + 3*j**2\/2 + 7. Let v(f) be the second derivative of m(f). What is the third derivative of v(y) wrt y?\nAnswer: 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.4 (b) -0.5 (c) 4 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -2 + (-6 - -8). Let y = 31 + -22. Let s be 26\/6 - (-6)\/y. Sort 1, m, s, -2 in increasing order.\nAnswer: -2, m, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*k + 10*k**4 - 6*k**2 + 6*k**2 - 4*k wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 52, 0.2, 53, 0.5, -2.1, -0.2?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-1 + 1 + 2*a) + 178*a + 156*a - 104*a + (2*a + 3*a - 3*a)*(2 + 2 - 3) + 4*a + 0*a + 3*a - 2 + 2 - a.\nAnswer: 242*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llllllllxllllllllll?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3088839 is divided by 79.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -732, -0.5, 4\/3, 6\/17, 0.044?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7282026 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2039*i**2 + 61*i. Let v(l) = -689*l. What is m(v(o))?\nAnswer: 967956119*o**2 - 42029*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 37*n - 54. Let h be o(4). Let b = h + -94. Solve 2\/17*f**2 + 0 + 2\/17*f**3 + b*f = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 14*r**2\/5 - 3032*r\/5 - 1302\/5 = 0?\nAnswer: -3\/7, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 0, 5*c - 1280 = u + u. Does 32 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 + 116*f**4 + 110*f**3 - 572*f**2 + 345*f.\nAnswer: f*(f - 1)**2*(f + 3)*(f + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/9, 3\/16, 3?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/7))**(11\/7)\/(z**3\/z*z**7)*(z**3*z)\/z*z**(-1\/2)*(z*z*z**2)\/(z*z*z*z\/((z**(-4)*z)\/z)) assuming z is positive.\nAnswer: z**(-919\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 119*t + 46*t + 1 + 45*t.\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 - 5014*r**2\/3 - 12740468*r\/3 - 2243017624.\nAnswer: (r - 6978)*(r + 982)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6678 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.2 + -28. Let p = g + -0.2. What is the smallest value in p, 2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29468970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five sixths of a century?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (29 - 45 - -38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -423*j + 1732. Calculate f(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*(-9)\/(36\/(-16)). Sort 3, 6, k.\nAnswer: k, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8086081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -115622 (base 8) in base 2?\nAnswer: -1001101110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/6)\/m**(-1\/5)*(m**(-1\/4))**3*(m**4\/m**4)**(1\/17) assuming m is positive.\nAnswer: m**(-43\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31806 greater than or equal to 31892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -26 + 7 - (-5 + -1 + -38)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913145.\nAnswer: 5, 181, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -54*((-4)\/(-10))\/((-3)\/5). Suppose 22 = -6*t + 94. Suppose 0 = 2*k - 2*m - t - 2, 3*k + 5*m - 37 = 0. Calculate the greatest common divisor of k and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109 - 103. Suppose -4*r = 5*h + 10, -5*r + 3*h + 0 = -p. Sort -6, 3, r, -1 in descending order.\nAnswer: 3, r, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/(-163)*(-44)\/352. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5421 - -144622?\nAnswer: 136201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4032 + 4056 - (0 + 9 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42189 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-6)\/(-14)*637\/(-546). What is the nearest to 5 in -0.3, -0.06, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/3 + 10\/2 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*a = -50, -3*o - 1 - 31 = -5*a. Let f = 7 + o. Sort 5, f, 3.\nAnswer: f, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 6)*(0*s + 2*s - 4*s) + s + 4*s - 4*s + (-62*s + 3020 - 3020)*(1 - 2 + 2) + 43 - 7*s - 38 + 3.\nAnswer: -64*s + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 10*p - p)*(4 + p - 4)*(2*p - p + 0*p).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**4\/7 - 8284*b**3\/7 + 82566*b**2\/7 + 305716*b\/7 + 214864\/7 = 0.\nAnswer: -2, -1, 13, 4132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10936, 10946, 10958, 10972, 10988, 11006?\n\"Answer: z**2 + 7*z + 10928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -2\/501 (c) 0.4 (d) -5 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2 + 15672*x\/5 - 6342259\/5 = 0 for x.\nAnswer: 2387\/5, 2657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227 is divided by 176.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 7*f - 6. Let x(a) = a**2 + a - 1. Let w(g) = r(g) - 3*x(g). Calculate w(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 3*z + 57, 5*z - 16*j - 12 = -64 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*m + 5 - 13 = 0, 0 = 3*m - 3. Solve 4*s = 2*w, 3*s - 6 + 3 = c*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -0.1, -2\/13, -3655\/14?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4*((0 + sqrt(3))*4 + -5*sqrt(9)\/sqrt(3))*-4)**2 + -1).\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*v + 173388 = -17123. What is the remainder when v is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1143234 (base 7) to base 4.\nAnswer: 203130330","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*u - 27*u + 14*u + 6*u**2)*(0 - 1 + 0 + 2*u).\nAnswer: 12*u**3 - 114*u**2 + 54*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -14384450 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**2*u**4 - t**2*u**2 - 476*u**4 - 6*u**2 wrt u.\nAnswer: 24*t**2*u - 11424*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*s + 10 = 0, -5*n = -0*n + 4*s - 20. Let f(p) = -p**3 + 12*p**2 + 30*p - 17. Let c be f(14). Sort c, n, 4, -1.\nAnswer: -1, n, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**14*m)\/(m*m\/m**20))\/(m*(m**(-1)\/m)\/m)**(3\/19) assuming m is positive.\nAnswer: m**(633\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 4:05 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aap when three letters picked without replacement from {l: 2, v: 2, a: 6, p: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/3094 and 91\/6?\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v**(-5)*v*v))\/(((v\/(v**(-2)*v*v*v))\/v)\/v)*v*v**6*(v\/(v**5\/v))\/v assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15484763.\nAnswer: 7, 1327, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24952 + -1247649\/50. Find the common denominator of h and -83\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 11 - 35 = 5*h, -5*w - 3*h = 2. Is 6\/w + 45 + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 900 divided by -6\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {w: 2, i: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 16. Let l(h) = -3 - 24*h - 5 + j*h**2 + 4 - 1. Is l(7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 j when four letters picked without replacement from iijiijpij?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b - 2. Let p(w) = 42*w + 27. Let z be p(-2). Let f = z + 56. Put f, b, 4 in decreasing order.\nAnswer: 4, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a**3 - 173*a**2 + 29*a - 49. Calculate o(-29).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2717 is divided by 1333.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12\/7, -2\/5, -35\/4?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*x - 445*x + 224*x + x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 251*l + 264. Calculate b(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsd when three letters picked without replacement from {s: 5, d: 14}?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-20) - 74\/(-10). Let x = -3 + n. Suppose -x*y + 0*y = -16. What is the closest to -1 in y, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*((1*sqrt(45) - sqrt(45) - sqrt(45) - sqrt(45))\/sqrt(9) + (sqrt(10)\/sqrt(2)*-3)**2).\nAnswer: -36*sqrt(5) + 810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b - 4. What is the units digit of (b*7)\/(-5 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-48)*-2)\/((-21)\/56). Suppose -2*t + 1 = 7. Which is the nearest to l? (a) t (b) 4\/9 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 250*b + 70*b + 52*b + 286*b + 30*b to the form k*b + t and give k.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k = -97*k + 11*k - 288 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 384, 763, 1138, 1509, 1876, 2239?\n\"Answer: -2*k**2 + 385*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by (3\/(-2))\/(39\/(-104))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1521 - 816. Suppose -g + 352 = i, i + m = 2*g + 2*i. Suppose -2*n + n = -g. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 921 - 916. Solve -7*y + 20 = -u*a - 4*y, -a - 4*y = -19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15 = 2*p. Suppose f = 3*w - 3, 0 = 5*w - p*f - 5. Solve w - 9 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-16) - 3945\/120. Let v = -39 - c. Let j(z) = z**2 + 7*z - 8. Give j(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197 - -485. Let d = -280 + y. Solve -5*c = 23 - d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2 - 7167*m - 79200 = 0 for m.\nAnswer: -11, 2400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x + 62*x + 3*x**2 - 38*x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(66)\/sqrt(6)) - sqrt(3)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 - 3*m**3 + m**4 + ((2*m - 3*m - m)*(0 - 2 + 7) + 4*m - 3*m + 0*m)*(0*m**3 + 4*m**3 - 3*m**3) as h*m + d + o*m**2 + y*m**3 + b*m**4 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 19590, 0, -5, -3, 27 in increasing order.\nAnswer: -5, -3, 0, 3, 27, 19590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4 - 8*s**3 + 4*s**2 + 8*s - 6 = 0 for s.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 636*p**7\/7 + 2*p**3\/3 + 93*p**2 - 5. Find the third derivative of c(h) wrt h.\nAnswer: 76320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 8 + 25)*(18*d - 51*d - 6*d).\nAnswer: -312*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-8)\/h)\/h**(-2\/19)*(h*h\/h**(-1))**28 assuming h is positive.\nAnswer: h**(1446\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39336 is divided by 3842?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + b + 12, -3*b - 32 - 12 = -4*q. What is the remainder when 28 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -90? (a) 3 (b) 8 (c) -5 (d) -6 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**1)\/x*x**16\/x assuming x is positive.\nAnswer: x**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.9526987239 - -40.\nAnswer: 27.0473012761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 17*t - 10. Suppose 144 = -4*r + 16*r. Calculate f(r).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59397062 divided by -5387?\nAnswer: 11026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59.9 - 60. Put g, 3\/2, -0.2, 0 in decreasing order.\nAnswer: 3\/2, 0, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in -1\/7, -5, -0.064, -27, 4\/5?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56902 divided by 46.\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2.9. Let m = -53\/259 - 3\/37. Let u be (-5)\/21*12\/(-30). What is the closest to 0 in h, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 281451684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204 - 200. Put -253, -2, z in descending order.\nAnswer: z, -2, -253","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 118725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:08 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -d495 (base 14) to base 5\nAnswer: -2132322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.3 - 7. Let o = 0.1 + 0.1. Let x = 0.3 - o. Sort x, d, -5.\nAnswer: -5, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**3 + 15*k**2 - 123*k + 152. Let q be n(-56). Round q to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1611*s - 2365*s + 1361*s + 4556 = -34292 for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258419010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/113 + -204\/1243. Which is the closest to -0.04? (a) -5 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1347, -1878, -2405, -2928, -3447?\n\"Answer: 2*b**2 - 537*b - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-111)\/(-4)*(-624)\/(-36). Let s = o + -469. Solve -5 = -13*q + s*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c - -171305?\nAnswer: 171333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60\/45*(-3)\/(-2) - 0. Is l\/((2 + 14\/(-8))\/23) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-574)\/252*54 - -100\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -7075.9053\nAnswer: -7076.0053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-21) - 15\/504?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 356, -1, 2 in descending order.\nAnswer: 356, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 1. Let c be s - 0*(-2)\/2. Differentiate n**3 + 0*n**3 + c + 0 with respect to n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 3162 = 11*h. Suppose -5*f + 413 = -r - r, -3*r = -f + h. Calculate the remainder when f is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.53 + 6.75.\nAnswer: 6.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 748653\/13 or 57588?\nAnswer: 748653\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 397771?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3 - 7 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 0*r + r)*(3 - r**3 + 2 - 3) as c*r + x*r**3 + m + a*r**4 + u*r**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1429, -3261, -5093, -6925?\n\"Answer: -1832*i + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 425 = -436. Suppose -107 - i = -2*u + 4*r, -3*u = -4*r - 593. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 347404509153.\nAnswer: 347404509147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzzz when four letters picked without replacement from {x: 12, z: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12025 by 481.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -z + 1, -5*p + 0*z = 2*z - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -7c?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 94.89, -5, 4, -18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1 - a**2 - 1 + 0. Let f(h) be the third derivative of h**4\/12 + 2*h**2. What is u(f(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 538616.3 years?\nAnswer: 538.6163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190133, 380263, 570391, 760517, 950641?\nAnswer: 1140763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*5 - (-1060)\/106. Is 115\/8 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 15. Suppose q = 2*m - s + 5 + 6, m + s - 2 = 0. Is (16 - 47)*(-3)\/(m\/(-2)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1 - 1) + (-114 - -97 - -20) + -72.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (175\/105)\/(((-6)\/21)\/((-36)\/14))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o + 0*o**2 + 0 + 19\/6*o**3. Let t(u) = -11070 + 4*u**2 - 3*u**2 + 11070. Give s(t(q)).\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110 (base 3) to base 9.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 - (-27 - 42 - (30 + 27 + -39)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 5*q - 24, 0 = 3*b + 3377*q - 3375*q + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5817 at most 5817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -0.1 (b) 0.5 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**3 + 44*l**2 + 46*l**2 - 86*l**2.\nAnswer: 5*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 + 1)*((-2 + 2 + 1)*(0*a - a - a) - a + 0 + 0 + 1 - 1 + 2*a)*(-3 - 3 + 0)*(4 - 5 + 14) to the form u + p*a and give p.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**2*p**4 + 18*c**2*p**2 + 4*c**2*p + 7*c*p**2 + 29*p**6 wrt p.\nAnswer: 72*c**2*p + 3480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17864 and 20735638.\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t - 5. Let h(g) = -8*g - 16. Let j(v) = -5*h(v) + 16*p(v). Let r(n) be the third derivative of -n**4\/12 + n**2 + 19. What is r(j(k))?\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 124?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - x + 33 = -364, 4*x + 634 = 3*j. Solve -38*t + 12 - j = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.139 * 1.7981.\nAnswer: -0.2499359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3447)\/315 - -5) + (-13 + 25 - 6).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 23*q - 199. Calculate k(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010111101 (base 2) in base 8?\nAnswer: -1275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.38, 13, -16, 3, 219, -2\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 138*b**3 + 6*b**2 - 4*b. What is the remainder when s(1) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3536, 3527, 3506, 3467, 3404, 3311, 3182?\nAnswer: 3011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 637267439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 - -2 - (6 - 16 - (-54 - (-38 + 9))).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1415096.2 + -6881611?\nAnswer: -8296707.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 + -6 - (-9 + 1) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 20557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 17*p**2 - 5*p - 3. Let n = -19 - -14. Let x be (-1 + (-1)\/n)*5. Is w(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62689 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*l + 122965 - 1117847. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 46 = 38*k. Let n be (-21)\/(-4) + k\/12. Solve n*b - 19 = 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-4)*480\/(-280). Find the common denominator of ((-102)\/(-10))\/(3\/(-2)) and y\/20*18\/9*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*u - 27*u + 1 + 15*u)*(3*u**3 - 28 + 28).\nAnswer: 24*u**4 + 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5 = 7*d - 13*d + 7*d, 12 = 4*s - 4*d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 8*x = 33. Let i(y) = 5*y - 15. Let l be i(x). Solve 3*m + 3*k = 21, -l = -4*m - 3*k - 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 14*s**2 - 71*s + 8. Let m be p(-4). Let i(d) be the first derivative of -d**4\/4 + d**3 + 2*d**2 + 2*d - 1. Give i(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 1 + (-4)\/(-8). Let p = 3903 + -35125\/9. What is the fourth biggest value in 16, p, 2\/7, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kasl when four letters picked without replacement from {c: 1, l: 1, s: 1, k: 1, a: 2, x: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 = -4. Suppose 4*t - d*w + 4 - 48 = 0, 2*t - w = 28. Suppose -18*g + 6 = -t*g. Solve -g*f + 1 = -5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15296, -15454, -15612?\n\"Answer: -158*p - 15138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0, 151, -26.6 in descending order.\nAnswer: 151, 0, -1, -3, -26.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2265 is divided by 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 16*z - 110. Give s(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 163, 145, 97, 7?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g = -36*g + 208. Let l = -207 - g. Put -4\/3, -3, -8, l in decreasing order.\nAnswer: l, -4\/3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174542142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*b - z, -3*b - 5*z = -6*z - 13. What is the nearest to b in 3, -2, 4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 21*m**3 + 15*m**3 - 2.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 52*r**2 + 6*r - 19. Let v be a(-6). Let o = v + -655. List the prime factors of o.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/6 + 13*r**2\/2 + 7*r - 40\/3 = 0. What is r?\nAnswer: -2, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + sqrt(5) + 1 + -3.\nAnswer: -3 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -182657790 times -3?\nAnswer: 547973370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*c + 12*c - 9*c**2 + 8*c to m*c + q*c**2 + v and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -26760*h - 512. Let c(v) = 4117*v + 80. Determine 32*c(l) + 5*n(l).\nAnswer: -2056*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-3)*(-1017)\/1582. Let 2*b + v + 2\/3*b**2 = 0. What is b?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 = 2. Is -3\/125 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and -7.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67\/2, 3, 114354, 6.\nAnswer: -67\/2, 3, 6, 114354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 385, 396, 417, 454, 513, 600?\n\"Answer: k**3 - k**2 + 7*k + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/24 - 2*115\/(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11449 and 3917?\nAnswer: -44845733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -25*o**3 - 70*o**2 - 720*o - 1940. Let i(z) = -z**3 - 10*z**2 - z + 1. Let v(u) = 20*i(u) - r(u). Factor v(b).\nAnswer: 5*(b - 14)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(231)*2)\/sqrt(7))\/(sqrt(22)\/sqrt(2)*2).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65175116 to the nearest integer?\nAnswer: 8073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -48*j**2 - 16*j + 12. Let d(p) = -19*p**2 - 7*p + 5. Give -12*d(b) + 5*q(b).\nAnswer: -12*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19412303*b**2*t**2 - 5860*b*t**2 - 138*b + 2*t**2 wrt b.\nAnswer: -38824606*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 392435873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60.7? (a) 0.5 (b) 5 (c) 2\/7 (d) 141 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*-5 + -5)**2 + ((sqrt(125) + sqrt(125) + sqrt(125)*-2)*-5 + sqrt(125))**2 + 2.\nAnswer: 250*sqrt(5) + 3277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 19912 to the nearest 100.\nAnswer: 19900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 22*w**2 + 20*w - 20. What is the remainder when 100 is divided by y(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*y - 16*y - 80. Let d be -2 + 2 + (-2 - -4). Solve y*f - d*q + 4*q = 0, 3*f - 2 = -q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 39. Let r(x) = x**3 + 1. Let c be r(0). Sort w, c, -1 in descending order.\nAnswer: c, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1163 + 1162.441. Let t = -0.819 - i. Put t, 1, 1\/9 in decreasing order.\nAnswer: 1, 1\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19639 is divided by 285.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61548*m**2 + 46 + 61550*m**2 + 29.\nAnswer: 2*m**2 + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1617 - -8*5\/(-20). Let l = z - 818. List the prime factors of l.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33817 is divided by 1298.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -231*t**2 - t - 73.\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -10. Suppose 19 = h + s. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 5. Suppose 3*w - 32 = 4*s, 0 = -s - 4*w + 2 + 9. Suppose -z + 4 = 2*r, -4*r + 4 = z - 8. Which is the nearest to 1\/3? (a) o (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j + 2*j - j - 7*j - 16*j.\nAnswer: -34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2347927, 4695857, 7043785, 9391711, 11739635, 14087557, 16435477?\nAnswer: 18783395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2. Let q(f) be the third derivative of 0 + 0*f**4 + 0*f**3 - 2\/15*f**5 + f**2 - 43*f. Determine k(q(u)).\nAnswer: 128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u - 882 = -37*u. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2697*d + 304753. Give f(113).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*a - 26 = 0, -32 = 28*w - 24*w + 5*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 divided by 112?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58638.629 * 0.3.\nAnswer: 17591.5887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y**4 - 10032*y**3 - 1318766*y**2 - 1745000*y - 580184 = 0 for y.\nAnswer: -347, -209, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, u: 2}. What is prob of sequence nunn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21405 + -21171. Suppose -5*q = -2*s - 86, 4*q - 48 = q + 3*s. What is the highest common factor of h and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6368*g**3 - 109128404*g**2 + 108916404*g + 205632 = 0.\nAnswer: -3\/1592, 1, 17136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9784*z**4 - 16*z**2 - 98*z wrt z.\nAnswer: 234816*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.084.\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times 0.37?\nAnswer: 0.0666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301031100123 + -3?\nAnswer: 301031100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -36. Sort l, -0.7, 1, -2\/5 in descending order.\nAnswer: 1, -2\/5, -0.7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtw when three letters picked without replacement from ttwwwwwtwwttt.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.91 - 0.029396\nAnswer: 2.880604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/5))\/(a*a*a**5))\/(a*a**(-23\/5)*a*a**44) assuming a is positive.\nAnswer: a**(-239\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2*h - 5 + (4*h - h - 6*h)*(-3 + 5 - 3) - 2 + 0 + 5*h + 1 in the form i*h + z and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -55, -87, -117, -145, -171?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 8*c**2 - 5*c - 9. Let n be o(7). Let x(q) = -n*q + 7*q - q + 0*q + 13. Let k be x(-6). Solve 0*m - 5*m - 2*r + k = 0, -6 = -m - 5*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*u - 2*u + u)*(-1 + 2 - 3) + 2*u + 2*u - u)*(2 + 0 + 0).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-47 - (-14 - -16)) - 21.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -90 - 10 + 3*q + 22 + (2*q + 4 - 4)*(0 + 5 + 0).\nAnswer: 13*q - 78","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**3 + 3*k**2 + 5*k - 4. Let q(g) = -4*g**3 - 2*g**2 - 4*g + 3. Determine -4*q(a) - 3*t(a).\nAnswer: a**3 - a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-40)\/30)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**3\/2 + 15*g. Let t(v) be the third derivative of 7*v**4\/24 + 3*v**2. What is t(q(m))?\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 2, 2603, 0, -2 in decreasing order.\nAnswer: 2603, 44, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 1441458?\nAnswer: -1441461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/37)\/(((-32)\/(-4))\/(-2))\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -43. Suppose -c = r - 1. What is the remainder when 29 is divided by 5 - (6 + -4 + r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (88\/12)\/(4\/18) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3366*175.8.\nAnswer: 591742.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**2. Let r(c) = -c**2 - c. Let z(m) = 5*m + 65. Let l be z(-19). Let v(y) = 20*y**2 + 15*y. Let g(k) = l*r(k) - 2*v(k). What is g(f(o))?\nAnswer: -160*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-4)\/6 - (-200)\/30 and 17.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/14, -2\/371, -6.37 in ascending order.\nAnswer: -6.37, -2\/371, 1\/14, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -282, -317, -226, 33, 502?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 - 1515 = 86*a + 908. Are a and -61 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and 24.\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3037.8791 to the nearest integer.\nAnswer: -3038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 237347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r**2 + 7*r + 31. List the prime factors of z(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 22*k**2 + 5*k + 143. Calculate w(-22).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 14 - (48 + -55)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -870, -1566, -2264, -2964, -3666?\n\"Answer: -c**2 - 693*c - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*x**3 + 4*x + 2*x**3 - 4*x**4 - x**3 + 2*x**3 - 14*x**2.\nAnswer: -2*x*(x - 2)*(x - 1)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.24 - -39.24. Let m = o - 37.1. Let j = -0.9 + m. Sort j, -1\/3, 0.5 in ascending order.\nAnswer: -1\/3, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330781227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90608 divided by 4.\nAnswer: -22652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 37\/81?\nAnswer: 37\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -260*i + 13. Let k be d(-8). What is the highest common factor of 91 and k?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43845 (base 12) to base 7\nAnswer: -521306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/(1\/(-22)). Suppose -16 + 181 = 3*i. What is the greatest common divisor of q and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 11*x + 196. Suppose -4*u - 16 = -l, -3*l + x = -4*u + 2*u. Calculate the lowest common multiple of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 352 + -370. Let f(n) = -n**2 - 18*n + 54. Is 6 a factor of f(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a9180 - 2?\nAnswer: -a9182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3 - 1008*h**2 + 63504*h = 0 for h.\nAnswer: 0, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(539)*-6 + -1*sqrt(11)*1)*-6.\nAnswer: 3 + 258*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*w - 2*w + 33, -2*n - 13 = -w. Let g be 2 + (-592)\/(-20) + 4\/10. Suppose -g*r + 12 = -28*r. Calculate the lowest common multiple of r and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10746 and 1670804?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (-28)\/(-3) + 6\/9. Suppose o*z - 174 = -74. Solve -8*v + 3*v + z = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*p - 15 = 0, -4*t - 2*p = -8 - 4. Suppose -t*y + 10 = -y + 4*u, -2*y + 5*u = -1. Let v = y + -2. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((2\/2)\/5)\/(((-9282)\/70)\/13)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -40356, 4?\nAnswer: -40356","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 less than 0.5?\nAnswer: -38.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 14) to base 2\nAnswer: 1010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b - 2. Let v be g(1). Suppose 0*p + 4*p = 2*a + 22, 2*a - 13 = -v*p. Put a, -2, 2 in ascending order.\nAnswer: -2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Let h(g) = g**2 + 2*g + 1. What is the remainder when h(f) is divided by ((-15)\/6)\/(50\/(-40))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2 + 3840*k - 3686400 = 0 for k.\nAnswer: 1920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 divided by 538?\nAnswer: 112\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1234*f - 752 = 1422*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssm when three letters picked without replacement from {s: 2, m: 5, k: 3, b: 5}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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: Suppose k = 2*x + 13, -3*k - 4*x + 2 = 3. Suppose 0 = -2*h + 3 + k. Suppose -20 = -4*r + 4*g, 2*r = 3*r + 4*g + 20. Solve h*j + 4 + 0 = r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.05, -5, -22.588 in increasing order.\nAnswer: -22.588, -5, -1\/5, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(19) + -1)*5.\nAnswer: 20 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) + 2) + (sqrt(425) + 2)**2.\nAnswer: 22*sqrt(17) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1)\/(12\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2008.5 minus 0?\nAnswer: -2008.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -96, -190, -284?\n\"Answer: -94*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m + 10 = -2*k, 25 = 2*m - 5*k. Let a be 110\/55*2\/4. Solve 0 = 2*g + d - m + a, -2*g + 2*d + 8 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53193.\nAnswer: 3, 7, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngycwgd. Give prob of sequence gc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/(27\/(-2511)). Suppose -50 = -3*w + d. What is the greatest common divisor of w and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1356 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -26050*g - 4887. Is i(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 5:41 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31674*b**3*m**2 + 5*b**3*m*y + 5*b**3 + 356307*m**2*y - 6 wrt y?\nAnswer: 5*b**3*m + 356307*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 37*y**3 - y**2 - y + 1. Let r(u) = u**3 - u**2 - u. Let c(t) = -k(t) + 3*r(t). What are the prime factors of c(-1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(378)\/sqrt(6))\/sqrt(9) + 2)**2.\nAnswer: 14*sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + y + 6605 = 0, 0 = 4*b + 2*y - 3*y + 6595. Let v = -237 - b. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*d + 300 - 444 + 324 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 35\/14 - 2 - (-270)\/12. Solve -9*g = i*g - 64 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 + 22 - -8) + -10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*3 + 14 + -16. Let j = -17 - a. Suppose 5*x - 6*x + 10 = j. Solve 5*k = -0*k - x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - 2*z**2 + 96 + 34 - 130.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 3*j**2 + 4*j + 3. Let o = 0 - -6. Let q = 3 - o. Calculate w(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17363210.\nAnswer: 2, 5, 47, 36943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b + 67. Determine d(-16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 736 and 867928?\nAnswer: 3471712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 22*w + 10, 2*f + 350 - 354 = 4*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(3*x**3 + 2*x**4 - 3*x**3)*(2*x - x + 2*x).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -14*n + 13*n + 2496, n + 3 = 0. Suppose 0 = 3*o - x + 99. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 4*p + 2*p)*(6*p**2 + 11*p - 11*p) + (2*p**2 + p**2 - p**2)*(-2*p - 4*p + 5*p + (1 - p - 1)*(0 + 1 + 0) + 1 - 1 - 3*p - 7*p + 0*p + 2*p).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = 8*f + 28 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2057))*6.\nAnswer: -30 + 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -325800\/7 or -46544?\nAnswer: -46544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/31, -5, 2, -0.676, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 127. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48\/13 - -423\/104. Let v be (6 - (-5)\/((-15)\/6))*-1. What is the smallest value in a, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16660 + -16660. Which is bigger: t or 3\/3550?\nAnswer: 3\/3550","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -30. Is p greater than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 236383.5um?\nAnswer: 236383500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by 3984\/30 + (-8)\/30*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (670\/804)\/(55\/1254)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/5 and 11\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1314144 + 1035?\nAnswer: 1315212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2667715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 - 13. Let j = g + 102. Find the third derivative of 31*m**2 + 0*m**j - 10*m**5 - 12*m**5 + 0*m**4 wrt m.\nAnswer: -1320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3)*-1)\/((-3)\/(-6))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 + 25*h - 15. Let f(t) = 3*t**3 + 23*t - 14. Let v(r) = -6*d(r) + 7*f(r). Let x be v(3). Calculate the greatest common divisor of x and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/5 + 2*s**2\/5 - 84*s\/5.\nAnswer: 2*s*(s - 6)*(s + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((690\/138)\/(18\/2))\/(10\/24)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 714309831 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/568323?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2312 = -3*s - 2082, 106 = -7*i + s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k**2 + 9*k**2 - k**4 + 2 - 2*k - 2*k**4 in the form b + f*k + l*k**3 + s*k**2 + a*k**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -180*r**4 - 23*r**3 + 16683?\nAnswer: -720*r**3 - 69*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 558 = 2*h, -1850 - 966 = -5*d - 3*h. What are the prime factors of d?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 564*-0.53\nAnswer: -298.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 26 = -6*p. Is -13 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 + -136. Sort q, -1, 2 in increasing order.\nAnswer: q, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13639 - -13673.068. Let i = -34 + n. What is i rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = 344*v - 315*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2625080, -10500338, -23625772, -42001382, -65627168, -94503130?\nAnswer: -128629268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*l + 63*l - 63 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 4. Let o be (-99)\/15 + 9\/15. Let k be b(o). Let u(m) = -1 - k + m + 7. Give u(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 28139?\nAnswer: 2813b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*t**5 - 5*t**4 + 55364*t**3 - 8933164*t**2.\nAnswer: 240*t**2 - 120*t + 332184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/15666 and -33\/20.\nAnswer: 156660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4279)\/(-4) - (-6465)\/(-1724). Which is greater: s or 1065?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1526*p + 20 = 1522*p - 9*l, -13*p + 3*l = 65 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 28 = -3*l, 2*l - 12 + 28 = -4*t. Let j(y) be the first derivative of -y**4 - y**3\/3 - 11*y**2\/2 - 19*y - 1. Is j(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -82*r**2\/7 + 4*r\/7 = 0. What is r?\nAnswer: 0, 2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*d - 244*d = 139*d - 90*d + 9108 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**6\/t)\/(t**8*t))\/((t**(2\/9)*t*t)\/(t*t**7)))\/((t**(-3\/4)*t**(-8))\/(t\/(t\/(t*(t\/t**(-1\/7))\/t))*t**(-3))) assuming t is positive.\nAnswer: t**(2437\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 4869\/7333 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2487293 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 - 1722*t\/5 + 330048\/5.\nAnswer: 2*(t - 573)*(t - 288)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 510, 4\/3, -16, -3, 1\/4.\nAnswer: -16, -3, 1\/4, 4\/3, 15, 510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, -2, 5, 57 in increasing order.\nAnswer: -2, 2, 5, 9, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54430159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2134 and 2716.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*o**3 + 519*o - 87*o**3 - 510*o.\nAnswer: -o**3 + 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - (9 + -2) - -11. Factor -4*b**3 + 190*b**2 - 2112*b + 441 + 758 - z*b**2 + 737.\nAnswer: -4*(b - 22)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119\/(-306))\/(28\/(-528)).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 7*b**4\/4 + b**3 + 3*b**2\/2 + 6. Let x(k) = -6*k**3 - 2*k**2 - 2*k. Give 2*c(u) + 3*x(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11044089?\nAnswer: 3, 7, 175303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12144)\/(-966)*5*42\/120.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 9*k**4\/4 + k**3\/6 - 499*k. Let v(w) = 0 - 5*w + 0 + 0*w + 1 + w**2. Let g be v(5). What is h(g)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-3 - (0 - 1)). Does -6 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 10:19 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 118, -5 in decreasing order.\nAnswer: 118, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 3*w + 2. Suppose 6 = -v + 3*v. Let l be p(v). Differentiate 3*a**3 - 1 - l + 0 with respect to a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 9. Let k(t) = -t. Let n(s) = -3291 - 689*s + 3291 + 686*s. Determine z*k(l) + 2*n(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - o**2 - 4*o**2)*(-6538*o + 693*o + 704*o - 1421*o).\nAnswer: 13124*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -1\/96*v**4 + 1\/12*v**3 - 5*v**2 - 1\/240*v**5 + 0 + 0*v. Solve y(h) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2828 - 2827.93761. Round m to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4070*d + 69190. Determine c(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 - a. Let n = 14 + -13. Let o be g(n). What is the common denominator of 61\/3 and o + -1 - 117\/(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-33)*-1*24\/((-8)\/1)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99\/(7 - 4)*6\/9 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a0 - -9730aa?\nAnswer: 97300a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*f - 215. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 18 = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2)*(t\/(t*t\/(t*t**3)*t))\/t*t\/t**(1\/3)*t**(-3\/5) assuming t is positive.\nAnswer: t**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*w = -2*k, -15 = 5*k - 5*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 5*z**2 - 189. Let x(k) = k. Determine 2*o(g) + 6*x(g).\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3439553, 6879105, 10318657?\n\"Answer: 3439552*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, e: 1, a: 3}. What is prob of picking 4 p?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*n + 86*n - 5*n**2 + 3*n**2 in the form m*n + o + g*n**2 and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2 - 18*d + 38. Let k be o(-7). Suppose k*y = -2038 + 9586. Is 37 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fse when three letters picked without replacement from msefse?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -704 + 23234\/33. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 + 2.89. What is the biggest value in k, 4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 10*r - 24. Let y be -2 + (-39)\/3 - (-6)\/2. Let k be x(y). Suppose 0*b - 406 = -5*b - 2*l, -4*b + l + 317 = k. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496 = 4*c + 4*b, 5*b - 468 = -3*c - 94. Suppose 63 = 6*l - c. Suppose 2*f - l = -3*d, 5 + 7 = -f + 4*d. Solve -f + 32 = u + 5*o, -2*u + 16 = 2*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 38 + 318*u**2 - 163*u**2 - 86*u**2 as h*u + t + a*u**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*q - 175 = 0, d - 3*d = -3*q + 49. Let g = d - -797\/25. Let a = g + -16\/75. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4171245 by -5.\nAnswer: 834249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*u - 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p + 5*v = -27, -14 = p + 3*v. Let s be p - -2*(9 + -2). Let y be (-6)\/s*(-5)\/7. Which is the nearest to 0? (a) -0.5 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**5\/70 - p**4\/21 + 4*p**3\/21 + 8*p**2\/7 + 67*p. Factor l(y).\nAnswer: -2*(y - 2)*(y + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 - 3*m**4 + 0*m**4)*(3*m - m + 11*m)*(3 + 1 - 6)*(-5 + 5 - 1).\nAnswer: -26*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 16*p**2 - 49*p - 5. Let s be z(-4). What is the closest to s in 0.6, -5\/7, -2\/7, 2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3984295 to four dps.\nAnswer: -0.3984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2115 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -647 by -7918.\nAnswer: 647\/7918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16 + -45620.\nAnswer: -45620.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -1. Suppose -4*r = -11*r + 77. Calculate the least common multiple of r and (6\/c)\/(0 - 2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8945?\nAnswer: 5, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.8 from 3780806.\nAnswer: 3780816.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**2 + 11*a + 5. Let q(d) = -6*d**2 + 14*d + 6. Let f(w) = 2*q(w) - 3*s(w). What is f(-3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -458569*f**3 + 369574.\nAnswer: -1375707*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = 18. Let w be (-2)\/g - (-44)\/16. Let a be w - 2*(-2 + 1). Sort 2, -2, a in decreasing order.\nAnswer: a, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145 - -103. What are the prime factors of (3 - d) + 0\/(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, -9, 0, 10 in ascending order.\nAnswer: -70, -9, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 times 0.0304?\nAnswer: 4.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r**2 + 9*r + 14. Let o = -85 + 77. Let v be c(o). Suppose -2038 = -4*p + v. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - x + 11 = -m + x, 5*x = -x + 11*x - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**7\/21 - 4*b**3\/3 - 5*b**2. Differentiate f(t) wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - -12.01. Let g = p + -14. Which is the closest to -0.1? (a) g (b) -0.4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 56189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19932774259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 + 0*a**3 + 0*a**3 + (-16*a + 8*a + 46*a)*(-a + a - 2*a**2).\nAnswer: -74*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.303709 rounded to three dps?\nAnswer: -0.304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 5*h + 60. Calculate the common denominator of (13 - 8) + (-52)\/h and 2\/(-48)*(-232)\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**6*w**2 - 47247*m**3*w**2 + 50210*m**2*w**2 - 1 wrt m.\nAnswer: -240*m**3*w**2 - 283482*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Suppose -2*t + 16 - a = 0. What is the greatest common divisor of t and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x - 4. Let i(g) = g. What is -4*i(m) + 3*r(m)?\nAnswer: 2*m - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5*-3590\nAnswer: 17950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115996\/4 - (-280)\/28 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/7700 and 37\/463881880.\nAnswer: 2319409400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -987 + 1054. Let l = 131 - 67. Calculate the remainder when h is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**2\/3 + 8846*t - 2051712 = 0?\nAnswer: 234, 26304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*n - 14109*y + 14101*y = 44, -3*n + 2*y = -9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*c*p**3 - 1395*c*p**2 + 3*c*p - 9*c - 1177814*p**3 - 16*p**2 + 2*p - 1 wrt c?\nAnswer: 13*p**3 - 1395*p**2 + 3*p - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154 - -149. What is the smallest value in 0.02, 0, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2, -1, -5, -35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l + 2. Suppose v = -5*o - 8, -3*o = -v + 3*v + 2. Let u be (-3)\/6 + 7\/o. Is 13 a factor of z(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtqeqtppateqqpqqqb. What is prob of sequence pqp?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**(-13\/3)*(j\/((j**1\/j)\/j*j*j))**(-9) assuming j is positive.\nAnswer: j**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -60*o**2 + 5*o + 2. Let t(u) = 125*u**2 - 12*u - 5. Determine -5*r(y) - 2*t(y).\nAnswer: 50*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*-4*(-2*sqrt(72) - sqrt(72))**2*3.\nAnswer: -23332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2. Let g(x) = x + 2. Let m(w) = -2*w - 3. Let t(q) = -6*g(q) - 4*m(q). Determine p(t(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59*v**4*y + v**3*y + 8*y + 5 with respect to v.\nAnswer: -236*v**3*y + 3*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102799808?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65, -59, -53, -47, -41, -35?\n\"Answer: 6*y - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70706640.1 rounded to the nearest one million?\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22344748?\nAnswer: 2, 397, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 30 - 10 = 0. Suppose x - 3*x = 5*h - 26, -x - 1 = -h. Let j be -4 - 36\/(6\/(-1)). Solve -4*g + 3*w = j*w + l, -h*g + 2*w - 20 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 103516620 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016546 to 5 dps.\nAnswer: -0.00165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 5 - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/17058 and 17\/3.\nAnswer: 17058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + q**2 + 0*q - 3*q + 3*q + 7*q**2 + (2*q - 3*q + 2*q)*(-q + q + 2*q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 times -3?\nAnswer: -1491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*t - 19, t - 29 = -i - 3*t. What is the remainder when i is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 46\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 75430, 151100, 226770?\n\"Answer: 75670*y - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54986078 is divided by 41374.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*j**2 + 4*j + 0*j - 6*j**2 - 3*j - 8 wrt j.\nAnswer: 4*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 13, r: 5}. Give prob of picking 4 r.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -13885716?\nAnswer: -13885716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 1)\/((-9)\/12). Find the second derivative of 13*j**2 - b*j - 8*j**2 - 7*j**2 wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15.5, -0.07, 5, 2\/9, 15\/2 in ascending order.\nAnswer: -0.07, 2\/9, 2, 5, 15\/2, 15.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192130 rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3019285 and 680?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 + 114. Let o(c) = d*c**2 + 198 - 198. Let y(u) = -15*u - 24. Let k(x) = -3*x - 5. Let s(z) = -24*k(z) + 5*y(z). Calculate s(o(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55990 and 88800140.\nAnswer: 88800140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13*l**2 - 27*l + 82. Let o(v) = -22*v**2 + 54*v - 161. Let h(y) = -3*o(y) - 5*u(y). Calculate h(24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) 4 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 6*h + 5. Is u(3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/10 + 78\/5. Suppose -t + 4*x = b, 7 - 2 = -2*t - x. What is the common denominator of 1\/12 and 4 - (-434)\/(-44) - t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:02 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5 - 1409*q**4 + 394350*q**3 + 74144690*q**2 + 824922449*q - 899460081 = 0 for q.\nAnswer: -117, -13, 1, 769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3946132000 to the nearest one million.\nAnswer: 3946000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 1:02 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-210))\/(1*(-4)\/(520\/13))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/11 + 2*c**2\/11 - 4930*c\/11 - 95874\/11.\nAnswer: 2*(c - 57)*(c + 29)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 3:48 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**8\/840 - 23*d**7\/525 - 17*d**6\/50 - 79*d**5\/75 - 107*d**4\/60 - 9*d**3\/5 + 1021*d**2. Factor w(u).\nAnswer: 2*(u - 27)*(u + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**3 - 13034. Let p(o) = o**2 + 1. Let j be (-6)\/4*4\/6. Let i(m) = 9*m**2 + 3. Let l(f) = j*i(f) + 3*p(f). Give l(h(r)).\nAnswer: -54*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1902*b*d**2 + 2*b*d + 45*b + 2*d**2 - 2*d - 863 wrt d?\nAnswer: 3804*b*d + 2*b + 4*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 577.18591 rounded to the nearest ten?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -118*n + 59*n + 208211. What are the prime factors of n?\nAnswer: 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91695013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/621138 and -85\/294.\nAnswer: 4347966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) -0.2 (c) -115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 104 = o, -960*s = 3*o - 964*s - 312. Calculate the remainder when 2807 is divided by o.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2320 by 1160.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 141415 to the power of 1\/2, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -47, -53, -43, -11, 49, 143?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14628 is divided by 170?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 2 + -1 + 0. Let j = 0.254 - -0.146. Which is the nearest to u? (a) 4 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(-10 - (-19)\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 131, 34, -153, -460, -917, -1554?\nAnswer: -2401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8 + (4 + -9 - -115).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/228 + (5732\/1140)\/1 - 25\/5\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(8\/(-30)))\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*q - 4*w, -2*w = -2 - 6. Let v(h) = -h**2 - 6*h + 9. Give v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 0*k**7 + 0 + 0*k - 1\/84*k**8 + 0*k**6 + 0*k**5 + 1\/8*k**4 + 0*k**3 + 4*k**2. Find the second derivative of j(r) wrt r.\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t = b - 12, -3*t = -3*b. Suppose 3*x = -0*c + c - 185, 64 = -x - t*c. Let n = x - -101. What is the highest common divisor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1613691.\nAnswer: 3, 17, 53, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 10*n**2 + 12*n - 19. Let a be j(9). Solve 4*s + a = 4*m, -4*m + 12 = -4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1\/494060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1600 and 11400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 18179 = -8401. List the prime factors of s.\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**4 - 38653*q**3 + 5*q**2 - 1241202*q.\nAnswer: -24*q**2 - 231918*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74694 - 488*u - 74694)*(0*u + 0 + u**2 + 4 + u).\nAnswer: -488*u**3 - 488*u**2 - 1952*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6935 - 5?\nAnswer: -693a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b + 216. Let o be a(-27). Put -3, 2, o, -1 in decreasing order.\nAnswer: 2, o, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7 + 23*v + 21*v - 8. Let r be o(11). Let d = r - 206. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92385324.\nAnswer: 2, 3, 2566259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2201.7*0.2\nAnswer: -440.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 13 = v - 17, -2*v - 2*i = -48. Let d be 1 + 19 + (-7 - -4). Let p = v - d. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3120001 + -2131?\nAnswer: 3111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 47, 11 in increasing order.\nAnswer: -2, 11, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -8*s + 0*s**2 - 1\/6*s**6 - 3 + 5\/4*s**4 - 1\/3*s**3 - 1\/14*s**7 + 0*s**5. What is the third derivative of w(r) wrt r?\nAnswer: -180*r**2 - 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 106, 5, -3\/2, 0.1, -29, -0.33, -0.2?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9308 at least 8\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 5:23 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**4\/8 + 2*z**3\/3 + 13*z**2. Let i(b) = 0 - b**3 - 3 + 2*b**3 - 4*b**2 + 4*b. Let o be i(2). Determine q(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 5*f**2 - 5*f. Calculate m(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q - 8. What is n(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Let a = t - 3. What is the remainder when 61 is divided by (6\/(-1))\/a*7?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-714))\/(91\/(21658\/(-126))).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -h + 2, 20 = 4*h + 21*l - 17*l. Solve -2*p - 2*p + 3 = 5*j, -j - 3*p = h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.423 - -0.007. Let m = 5.37 + k. Round m to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**6\/180 + w**5\/10 + 3*w**4\/4 + 3*w**3 - 58*w**2. Factor k(y).\nAnswer: 2*(y + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10705 = 5*s + 15*r - 10*r, 5*s = -r + 10709. What are the prime factors of s?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-274)\/180 + (-8)\/40. Let s = -947\/90 - d. Find the common denominator of -7\/10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 16\/7*o - 220\/7*o**3 + 48\/7*o**2.\nAnswer: -4*o*(5*o - 2)*(11*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5 - 1630*k**4 - 7*k**3 + 11416*k**2 - 9780*k = 0 for k.\nAnswer: -3, 0, 1, 2, 1630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -118742\/199 >= -596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-24226132)\/193)\/(7\/(-2)).\nAnswer: 2, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2329*p - 28*p**2 + 2353*p + 33*p**2 to the form j*p**2 + k*p + v and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -20. Let i be (-3 - 2)\/q*0. Suppose i = 4*d + 26 - 274. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001319 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38300299*k**5 - 56314493*k**2.\nAnswer: 2298017940*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/5, -4673, 0.3, 3\/8, -4\/3, 1\/5, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a + 4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-15)*510\/68*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 17\/4, 2\/29, 0, 0.2, -4\/9?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 2\/4419?\nAnswer: 2\/4419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46822751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 310915.3 nanograms in micrograms?\nAnswer: 310.9153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**5\/20 - 37*h**4\/12 + 71*h**3\/6 - 35*h**2\/2 + 481*h - 7. Factor l(q).\nAnswer: (q - 35)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 + -38. Let t = 81 - i. Let r = t + -4. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05346984 and 3.\nAnswer: 0.16040952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 20 = -2*y, 79*q - 38 = 74*q + 3*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*s + 0*s - 122 = 0, 0 = -4*g + 5*s + 503. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -116 - -1?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1703 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 12:36 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/12 + 5*q**3\/6 - 5*q**2\/2 + 2*q. Let s be y(5). Let m(a) = a**2 + 5*a + 4. What is the units digit of m(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, l: 4, f: 8}. What is prob of sequence eee?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25595846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 17*i - 5. Let y be w(-1). Let o be 0\/y - 2\/(-2)*3. Find s such that -2\/17*s**4 + 6\/17*s**o + 2\/17*s**2 + 0 - 6\/17*s = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*n**3 - n**2 - 2887*n - 3891?\nAnswer: 12*n**2 - 2*n - 2887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 49*r - 50*r = 9, 4*m + 2*r = 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9577302 divided by 259\nAnswer: -36978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y = -18 - 74. Let n(a) = 4*a**2 - 2*a + 4. Let g be n(2). Calculate the greatest common divisor of y and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*q - 14*r + 16*r, 3*r = -2*q + 9. Which is the second smallest value? (a) -2\/9 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70.726 - 1.274. Which is the nearest to -2\/5? (a) r (b) -2 (c) -0.3 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 - 23648*z**2 + 141834*z - 212724 = 0. Calculate z.\nAnswer: 3, 11818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*t - 134 + t**4 - 10*t**2 - 8*t**3 + 7*t**3 + 41*t - 153 + 9*t**2 in the form g*t**3 + u*t**2 + m + i*t + y*t**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x**2 - 2*x + 2. Let k(h) = 78*h**2 + 27*h - 27. Calculate -2*k(v) - 27*n(v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6000 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8213 and 63305613?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/11841 (b) 4 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6896 at most as big as -5.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (-1 + sqrt(325)))**2*3*5 + (sqrt(104)\/sqrt(32) - (4 + sqrt(13) + sqrt(117)))*2.\nAnswer: -7*sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(312)\/(sqrt(6)*-1).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 12. Suppose -7*u - 4*l = -3*u - 4, 3*u + l = 7. Let v be (-5)\/(10\/(-6))*3\/3. Solve -15 = u*y - 3*k, -4*y - b = -v*y + 2*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12442 (base 13) to base 11.\nAnswer: -23343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0) + (-23)\/(-6). Let p = 5 - q. Let s(k) = -k**3 - 3*k**2 + 3*k - 34. Let z be s(-5). Which is the second biggest value? (a) z (b) p (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q - 6650 = -24*q. Suppose q = 4*s + 6*s. List the prime factors of s.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5e0767 + 0?\nAnswer: -5e0767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51479780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1253, -1251, -1249, -1247, -1245, -1243?\n\"Answer: 2*r - 1255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/12 - (-30)\/90.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2*(-9)\/(-12)) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 3. Let v be l(5). Let o = 4 + v. Let j(g) = -5*g**2 + g + 2. Let m be j(-1). Put m, o, -0.2 in decreasing order.\nAnswer: -0.2, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 5. Let p(t) = -t**3 - 7*t**2 - 3*t - 17. Let i be (7\/2)\/(9\/(-18)). Let h be p(i). Let g(j) = -2*j + 9. What is h*g(b) - 7*z(b)?\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from gymgxbxbgxbgg?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -447.09 in -1\/7, 0.19, 5, -0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z**5\/5 + 92*z**4\/5 + 32*z**3\/5 - 136*z**2\/5 - 8*z + 44\/5 = 0. Calculate z.\nAnswer: -11, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 96665731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((-12)\/(-7)) - 2\/(-3). Solve z*b = 2*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -348, -8773?\nAnswer: -348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -69*y - 55. Let m(t) = 11*t. Calculate -6*m(u) - q(u).\nAnswer: 3*u + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*m**4 - 12*m**4 + 4*m**4 + (-2*m - 1 + 1)*(m**3 - 2*m**3 - 2*m**3).\nAnswer: 17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9639, 19296, 28933, 38550, 48147?\nAnswer: 57724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(-24)\/30 + 26. Which is the nearest to 1? (a) j (b) -2\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 16*a**2 + 16*a + 0*a**2 + 9 + 0*a**3 + 10 + a**3. Let z be o(-15). Suppose 13887 = z*s + s - 2*p, -5*s + 13886 = -p. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 11:19 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22208922 + 2?\nAnswer: 22208924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 861850065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + 31. Let d = 4744582.99966 - 4744622. Let g = d + i. Round g to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2560998.397019 and -0.01?\nAnswer: 2560998.407019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5108*v - 5104*v - 2*u + 28, -2*v + 3*u = 54 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x - 3*x + x**2 + x - 2*x - 3191*x**3 + 1662*x**3 in the form c*x**3 + b*x + f*x**2 + o and give c.\nAnswer: -1529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2799 is divided by 2603?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1078 - 19399\/18. What is the common denominator of k and -101\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45 + 6edd1d?\nAnswer: 6edcc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 63184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -949119 divided by -316373\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 = -12. What is the second derivative of -q**4 - 3*q**4 + q + q**3 - q**r wrt q?\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 1. Let h(o) = -8*o + 12. Let n(x) = -5*h(x) - 60*y(x). Let u(d) be the third derivative of d**5\/60 - d**2. Calculate u(n(l)).\nAnswer: 400*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 234540379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 122443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.45 - 578.05. Let h = 602 + p. What is the second biggest value in h, -0.009, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*p + 38, 3*d + p - 104 = -3*p. Solve -5*q + d = -6*t + 2*t, 3*q = 2*t + 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4427357318.\nAnswer: 2, 31, 71408989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t - 2*t - 8*t + 7*t as p + u*t and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*r + 2, 7*r - 12 = -3*k + 4*r. Let m = -7 - -18. Let q = m - k. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51.7 - -49.7. Which is the third smallest value? (a) 16 (b) -10 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 408 - 386. Let q be (-12)\/(-20) - (-44)\/10. Solve q*i + v = -0*x - 3*x, 0 = 5*i + 4*x + 26 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*t + 375, 0 = -3*t + 2*r - 6*r + 236. Let w = t - -23. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0176*-2253.73\nAnswer: 39.665648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*5\/40)\/((-1989)\/10608).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - -934c4?\nAnswer: 934b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*p - 64*p + 1488 = 0. Let i = 192 - p. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19885.7154 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 498*w**4 + 140*w + 3.\nAnswer: 5976*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -62*y + 57 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -9.8309?\nAnswer: -4.8309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) -0.5 (c) 0.5 (d) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88*z**5 + z**3 - 21023*z**2 - 28158556*z?\nAnswer: 1760*z**3 + 6*z - 42046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 18*k + 2*v - 8, 0 = 2*k - 4*v + 16. Factor k - 8\/5*b + 2\/5*b**2.\nAnswer: 2*b*(b - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**2 - 4*b - 2. Suppose 3*a - 5*p - 4 + 6 = 0, a = 3*p + 2. What is the units digit of t(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 216\/40*45\/(-366) and -19\/13.\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238\/(-4)*120\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m + 137. Let d(l) = 941 + 986 - 4*l**2 - 1927. What is r(d(n))?\nAnswer: 52*n**2 + 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m = 5*o - 20, 0 = 5*m - 2*o + 29. Let w(i) = i + 10. Let y be w(m). Let k(q) = q - y*q + 4*q. Let f(c) = 2*c. Give f(k(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9588, -11396, -14408, -18624, -24044, -30668, -38496?\n\"Answer: -602*k**2 - 2*k - 8984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1004737178 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132 + -116. Let y be (-3)\/(45\/35)*o\/(-28). Which is the nearest to 1\/4? (a) 0.1 (b) -2\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 246 and -2.6.\nAnswer: 243.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*j - 9*j - 4 + 0*j)*(-5*j**2 - j**2 + 1 + j**2 + (1 - 1 - 2*j)*(-j + 0*j + 3*j) + 1 - 2*j**2 - 1) as k*j**3 + z*j**2 + s + b*j and give k.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 3\/236, 1\/6, -29200?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 122280?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 6:44 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3470 (base 11) to base 8\nAnswer: -10712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1603 + 1001 = -43*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 39*v - 14. Calculate r(2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 1.291.\nAnswer: -5.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 2593586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1322212.9 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r. Let z(k) = k**2 + k + 1. Let q(t) be the first derivative of 4 + 7 + 2*t + t**2 + 4 + 0. Let v(u) = q(u) - 2*z(u). Give c(v(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 32*u - 104. Let k be (126\/24*-1)\/((-3)\/20). Let z be n(k). Solve -z = -j + 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 281412456 and -36?\nAnswer: 281412492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -27*v + 32*v + 5*r, 3*r = 2*v + 5 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -112\/11 (c) -2\/9 (d) -14 (e) 1 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1039 and 10?\nAnswer: 10390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18880?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*t**4 - 3*t**3 + 61*t + 1448 wrt t.\nAnswer: 24*t**3 - 9*t**2 + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2080806 divided by -2163.\nAnswer: -962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17 and 253.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29529 - -20504. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a kilogram in grams?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/1887 and 14\/27.\nAnswer: 16983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5 - y**4 - 14*y**3 + 28*y**2 + 8*y - 32 = 0. Calculate y.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -20)*(-240)\/(-200). Solve 0 = 4*n - 5*u - w, 5*u + 16 = -2*n - 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 + 39\/(-91))*14\/3. Calculate the highest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**4 + 43477658*p**3 + 2*p**2 + 2982517*p + 6 wrt p?\nAnswer: -48*p + 260865948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, l: 1, v: 2}. What is prob of sequence lvgg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2, 3.\nAnswer: -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 - (-4)\/(-16). Let a be -1 + p - (3 - 74). Suppose 5*i = 3*i + a. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 102*i + 208.\nAnswer: -(i - 2)*(i + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from ajjv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15257*v - 15*v**3 - 1 - v**2 - v**4 + 15278*v - 30532*v to the form g*v**4 + j*v**3 + s*v + z*v**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 237211710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 8*p**2 + 2*p - 16. Let r be g(8). Let t(u) = 10 + r*u**3 + u**3 + 313*u - u**2 - 314*u. Does 5 divide t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 1. Suppose z - 19 = -5*f, 2*z - 4*z = -4*f + 32. Let p(q) = -2*q - 1. Give z*p(c) - 5*m(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - m - 4. Give r(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 733*r**2 + 72076*r + 471. Give a(-117).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*j**3 + 5*j**2 - 7*j**2 + 0*j**2 + 2*j**2 - 224*j.\nAnswer: 36*j**3 - 224*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -14*m**3 + 41*m**2 + 426*m - 466. Calculate y(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.2 (c) 13 (d) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-5) - 21\/5. Let z be (15\/p)\/3 - -2. Let y = -1\/2 + z. Is -1 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5 + 3 = 0. Suppose 2*w - 12 = -c. Let z(u) = u**3 - 5*u**2 + 3*u + 5. Is z(w) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 6*j**2 + j - 4. Let i be z(-6). Let b = i - -12. Let k(l) = 3*l**b - 2*l**2 + 0*l**2. Let v(h) = -2*h. Give v(k(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**3 + 7*p**2 - 8*p + 1. Let z be v(1). Let h be ((-3)\/z*-2)\/((-3)\/9). Solve -20 = 5*g + 3*t, 12 = -h*g + 3*t + t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 148?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -607 + 24426.\nAnswer: 23819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139974 take away -2.3?\nAnswer: 1139976.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.72 and 14177601876?\nAnswer: 14177601871.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -32. Let c(m) = -m**3 - 10*m**2 + 11*m + 4. Let n be c(k). Suppose 0 = -n*s + 2720 - 12. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 182752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 132. Let u be f(0). Suppose 0*w - 48 = -4*w. Calculate the greatest common divisor of w and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*y - 5, 0 = 3*u + u + 4*y. Differentiate -u - 2*h + 2 - h with respect to h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 2. Let l = 4 - 0. Let r(i) = -7*i - 15. Let w(n) = 10*n + 23. Let k(a) = 8*r(a) + 5*w(a). Give l*k(z) - 11*y(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 118. Calculate the highest common factor of 122 and n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t - 2. Give h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 798 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/24, -14\/31, -3 in decreasing order.\nAnswer: -1\/24, -14\/31, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -874447, -6995597, -23610147, -55964797, -109306247, -188881197, -299936347?\n\"Answer: -874450*x**3 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssaasxxhssah. What is prob of sequence hah?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = f - 48 - 48, 5*z - 5*f - 140 = 0. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -80 - (35 + -39)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 130*t + 1870. What is g(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758817293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*a + 21898*a + 138873 = 405969 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182312*x**5 - 4*x**4*y**3 - 41*x**2*y**2 - 19*x*y**2 + 1042*y**3 wrt x.\nAnswer: -10938720*x**2 - 96*x*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(44)*-5*-6)**2 + (1*sqrt(198))\/(sqrt(2) + (sqrt(162) - sqrt(162)*2)).\nAnswer: -3*sqrt(11)\/8 + 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from {f: 5, a: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*6\/(-24) + 3 + -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31910 is divided by 343?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2))\/(13\/(-52)). Suppose 0 = -5*g - y, -z*g + y = -0*g + 7. Let u be 252\/(-24)*2\/(-3). Is g at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -11, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 5:28 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, 1\/43 in decreasing order.\nAnswer: 2, 0.2, 1\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d - 59*d - k = 3*k + 24, -5*d = 3*k + 18 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*x = -4*f - 25, 247 - 364 = 3*x + 19*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 = 1. Let h be (200\/6)\/(5\/(-15)). Let m = 904\/9 + h. What is the third biggest value in m, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 - 0.23. Let z = 78.8 + -76.8. Which is the second smallest value? (a) -4 (b) z (c) v (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*t + 242099 - 242495 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -524763, -0.1 in decreasing order.\nAnswer: 5, -0.1, -524763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 21716*r**2 + 3*r + 21718*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*j = 5 + 1, 5*p - 3 = -4*j. Let x(g) = -60*g - 175. Let f(z) = -20*z - 59. Let i(v) = p*x(v) - 8*f(v). Differentiate i(q) wrt q.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1230*y + 3007*y + 720*y + 3055*y + 2939*y to r*y + x and give r.\nAnswer: 8491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -14. Suppose -2*x = j - x - 114, 464 = 4*j + v*x. Let q = j + -82. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 91510 - 2?\nAnswer: 91509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3 + 3157*x**2 - 18969*x + 28467 = 0. Calculate x.\nAnswer: -3163, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35209303 to the power of 1\/3, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxn when three letters picked without replacement from {x: 15, n: 5}?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -196786513 to the nearest 1000000.\nAnswer: -197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -10\/37, 0, 2836, -1 in increasing order.\nAnswer: -1, -10\/37, -0.2, 0, 2836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w**2 - 6*w + 9. Suppose -51 = 16*p - 3507. Suppose -27*t - 9*t - p = 0. Let u(f) = -f**2 + f - 1. Calculate t*u(k) - o(k).\nAnswer: -2*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -6)\/(4\/(-6)). Find the second derivative of 0*v**4 - 2*v**5 + j*v + 0*v**4 wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3770107?\nAnswer: 11, 17, 20161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-7))\/(o\/(o\/(o*o**(-8))))*(o\/((o*o**(1\/2))\/o)*o)\/o**(-2))**34 assuming o is positive.\nAnswer: o**153","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 18*b + 21. Let o be w(17). Is (3760 - (-4)\/(-16)*o) + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-434)\/21)\/((-206)\/(-210) + -1). Suppose 4*n + n - a = 5*q, -4*n - q = -858. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2507*s = 2486*s + 42 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432556168?\nAnswer: 2, 6607, 27103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -439, -876, -1315, -1756, -2199, -2644, -3091?\n\"Answer: -m**2 - 434*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezt when three letters picked without replacement from lktzkek?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5482 + 5491. Suppose 0 = 3*v + 2*v + 20. Put n, v, -5 in ascending order.\nAnswer: -5, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:15 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 2, x: 2, k: 1, q: 2}. What is prob of sequence jk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*b**2 - 1901*b**3 - 112*b**2 + 15601*b**3.\nAnswer: 13700*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrrnnnnn. Give prob of picking 2 n.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r - 4. Let v be 2\/4*608\/76. Let i(o) = -15*o + 11. Calculate v*i(m) + 11*f(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*r, 3*r = -0*z - 2*z. Suppose r = -m + 11 + 5. Suppose 2*x - 4 = m. Solve 3*t + x = -2*n, 0 = 3*t + 3*n + 2*n + 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.17 - -12.17. Suppose 5*s = 139 - 134. Which is greater: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 27*b**3 + 2*b**2 + 32*b + 9. Let l(s) = 117*s**3 + 9*s**2 + 129*s + 37. What is 9*d(a) - 2*l(a)?\nAnswer: 9*a**3 + 30*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/42 and -88\/111153.\nAnswer: 222306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (1 + -660) - 0. Suppose -3*f + 9 = -h, -2*f - 2*f = -h - 12. Suppose l - 87 = -f*p, 0 = 5*l - 3*p + 208 - r. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862*f - 6724 - 4482 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**2 + g. Let c(v) = 14*v**2 - 2*v - 1. Let n = 8 + -4. Let x(q) = n*c(q) + 11*j(q). What is the remainder when 10 is divided by x(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64919788*a - 49038765 wrt a?\nAnswer: 64919788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*l**2 + 10*l**2 - 31*l**2 + 3*l**3 - 11*l to k + m*l**2 + d*l + g*l**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*o, -617*h + 5*o = -612*h - 30. What is the fifth biggest value in 0.5, 4, h, -1\/9, 2\/7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -2, 62804, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j + 288. Suppose a - j = 76. Calculate the common denominator of -49\/12 and (-28)\/(-6)*(-195)\/a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -186*z. Let c(m) = -6*m**2 + 23. Calculate s(c(a)).\nAnswer: 1116*a**2 - 4278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21433723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.3771 to 0 dps.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5 + 1118*h**4 - 39670*h**3 + 386642*h**2 - 701644*h - 1129072 = 0.\nAnswer: -593, -1, 4, 14, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 7*k = -723 + 706, -2*t - 13 = 3*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4)*(-g - 2 + 2) - 2*g + 6*g - 3*g + g - g + 2*g + (-26*g + 32*g - 30*g)*(5 - 4 - 3) + g + 6*g + 2*g as a*g + u and give a.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-6))\/((-7)\/(-42)) + -4. Let q be 76\/6 + 4\/(-6). Let r = i + q. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/8)\/l)**(-1\/7)*l**(-5\/3)*l*l**(-32\/5))**(-26\/3) assuming l is positive.\nAnswer: l**(75413\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + w - 5*w = 2, 2*w = -4. Calculate the remainder when 59 is divided by (-372)\/18*m\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20837\/45 - -5969\/15. Let f = -2311\/36 - i. Let s = 315179\/24 - 13130. Calculate the common denominator of f and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -6*z - 54. Let x be z\/(-4)*4\/3. Solve 3*y + 0 = x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - 1.6. Let t = -56 - -55.918. Let j = t + 0.582. What is the nearest to 0.6 in 1\/4, j, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176 + -185. Let k(j) = -j**3 - 10*j**2 - 9*j - 6. Give k(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131432568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.88 - 35.28. Let v be -2*(-6)\/16 - 1. Sort v, r, 1 in descending order.\nAnswer: 1, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**3\/3 - 6*o**2 - 37*o + 4996. Give q(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, n: 4}. Give prob of sequence pp.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 18496.4204 to the nearest 10.\nAnswer: 18500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/(-32))\/(3\/((-456)\/(-2))). Suppose -z*f + 115996 = -86658. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -52. Solve -i = 16*u - 24 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -754.5 + 754. What is the biggest value in g, 4\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3)*n**(11\/4)*n assuming n is positive.\nAnswer: n**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**7\/315 - m**6\/60 - m**5\/30 - m**4\/36 - 10*m**2. Factor v(d).\nAnswer: -2*d*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 2*h**2 - h - 1. Determine u(5).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 9*n + 11. Let g be b(-7). Let p be (2 - 4) + 1*-3. Put g, 65, p in descending order.\nAnswer: 65, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/387 + (65182\/1978 - 11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -3a?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -231 - -231. Solve v - 2*v + 3 = p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s + 7. Let z(m) = -m**3 + 9*m**2 - 16*m + 19. Let o be z(7). Let c(i) = -3 - 2*i - 15 + 0*i + 12. Determine o*a(v) + 6*c(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnqhnqctoqonqcq. Give prob of picking 1 o and 1 t.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + j - 5*k - 35, 5*j - 67 = -3*k. Calculate the remainder when j is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/189 (b) -5 (c) -177 (d) 0.4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 2*u + 2. Suppose 859*b + 190 = 897*b. Let w(q) = -2*q**3 - 5*q - 5. Determine b*h(p) + 2*w(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.73 and 142?\nAnswer: 142.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 314\/3, -1\/2852 in decreasing order.\nAnswer: 314\/3, 0, -1\/2852, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60.45 - 63. Let b = m - -1.9. What is b rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5 = -2*a. Suppose -2*p - 59 = -3*u - 3*p, 3*p + 103 = a*u. Suppose 0 = -0*w + 4*w - u. Solve -2*n = w*f + 3 + 10, -5*n = -4*f + 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 + 3 + -8) - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85260 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -16 + (11 - 7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*m - 25 - 22 - 14 + 414*m - 782*m.\nAnswer: m - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9681*f**5 + 3*f**4 - 2*f**2 + 71886*f.\nAnswer: 193620*f**3 + 36*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11974 divided by 2?\nAnswer: -5987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10733 and 284.7?\nAnswer: 3055685.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/4)*l**(-11))\/(l\/(l\/(l*l*l**2)*l*l)*l**7) assuming l is positive.\nAnswer: l**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 - 29.4. Let o = z - -21. Let b = o - -4. Round b to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a - a**2 + 6*a**2 - 12*a - 5*a.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*r + 2*c, r - 22*c + 17*c = 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 9:58 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 3*l - 4 - 3*l. Let c be 1 - ((-13)\/(143\/(-66)) - (3 + 0)). Let a(g) = 20 - 4*g - 4*g + 3*g + 1. Give c*a(h) - 11*j(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -6. Let x = m - 2. Let s(h) be the first derivative of -h**3\/3 - h**2\/2 + h - 60. Let f(w) = -4*w**2 - 4*w + 7. Determine x*s(n) - f(n).\nAnswer: -n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 7*z = -2*q - 10, 2*z - 5*q - 25 = 0. Suppose z = 11*b - 112 - 823. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 * 1152.8\nAnswer: 1613.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 9*b**2 + 3*b + 29. Let k be z(-9). Factor -18 + 14*m - 17*m + 6*m - 3*m**k + 4*m**2.\nAnswer: (m - 3)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1 = 2*g, -13*h + 47 = -25*g + 21*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 95343.3 millennia?\nAnswer: 9534330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 187230*a**2 - 3*a + 186923*a**2 + 6*a to the form c*a**2 + u + h*a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 20*k**2 - 4*k + 27. Let f be m(20). Let n = f - -67. Let i = 69 + -39. What is the lowest common multiple of i and n?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 229 - 213. Is (-12)\/w + 556\/16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1797*p - 8 = -1795*p - c, 0 = 4*c + 16 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -9*n - 6. Let j(v) = -627*v - 626*v - 3 + 1249*v. Give -13*j(d) + 6*z(d).\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hiq when three letters picked without replacement from hzipqqviqqih?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/3)\/g)\/g)**(-29)\/((g\/(g\/(g\/(g\/g**(-7)))))\/(g*g**(-9))))\/((g\/g**0)\/(g*g**(-1)*g)*g**1*g**8\/g) assuming g is positive.\nAnswer: g**(176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8376?\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n + 3*q - 44, 4*q - 2 + 10 = 0. Solve 0 = 2*i - 5*t + 9, -66*t + 68*t = -n*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/9 + 10*p\/9 + 1.\nAnswer: (p + 1)*(p + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 2*q - 96*f + 95*f, -5*q + 4*f = -256. Calculate the highest common divisor of 15 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 9 = 3*a, 5*a + 10 = 2*h - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1519138 divided by -5.\nAnswer: -1519138\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, x: 6}. Give prob of sequence xxx.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 1:39 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9441000 rounded to the nearest 100000?\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 589, 449, 309?\n\"Answer: -140*f + 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*x + 8 = 0, 3 = s - 2*s - x. Which is bigger: s or 2\/19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + 3. Suppose f - 5*m = 387, 0 = 440*m - 444*m - 36. Calculate the highest common divisor of f and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oosqqoqsqrqoqqqqqqq. What is prob of sequence or?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - c + 97752 = 0, 3*c = -7 - 5. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -9 - (10 + 2 + -4 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (((-4)\/3)\/(-9 - (-1100)\/120) - 3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 7*a + 2. Let b be h(7). Suppose -b*k - r = -27, -2*r + 7 = 1. Let d = k + -12. Solve d = q - 1 + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 20. Let z be x(-10). Let q(p) = 5*p**3 - p**2 - p + 3. Let v(i) = -14*i**3 + 3*i**2 + 3*i - 9. Let u(f) = -17*q(f) - 6*v(f). Give u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 6*c - 10. Is g(8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -75*t + 5405. Calculate g(72).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4*(-12)\/32)*(-7)\/119?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 10*j**2 - 2*j - 3. Is y(9) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24, 106, 234, 402, 604?\n\"Answer: -s**3 + 29*s**2 + 2*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/((11 - 4017\/364)\/(-1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqqzzrzzqziii. Give prob of sequence rzzi.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.8 (b) 478 (c) -0.9 (d) 0.1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -45742655 greater than -45742656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 40 = -5*m. Sort -3, m, 1 in increasing order.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 861 and 119.\nAnswer: 14637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*i = -6, 3*c = -5*i + i - 1. Suppose c*q - 2*v = -v + 165, 3*q - v - 99 = 0. Suppose 4*y = 7*y - q. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q - 316. Let a be x(-46). Let g(b) = -b**2 + 2*b + 15. Let r be g(7). Let z be 40\/25 + (-8)\/r. Solve 4 = -z*f - a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 48. Let o(c) = 400*c - 23881. Let i be o(60). What is the highest common divisor of i and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 87 = 5*t - 235, -2*t - 5*f + 55 = 0. Let g be -16*4\/(0 + 4). Let u = g - -26. Calculate the greatest common divisor of u and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 48 = -16. What is the first derivative of 8*r + m + 12*r + 14*r + 8 wrt r?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, o: 1, g: 2, n: 2, q: 1, b: 1}. What is prob of sequence bjng?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(19*i**2 + 66 - 66) - i**2 - i + 0*i + 0*i.\nAnswer: 18*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*y**4 - 1269804*y**3\/5 + 5137296*y**2\/5 - 5307216*y\/5 + 45168 = 0. What is y?\nAnswer: -9410, 2\/45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -2 (c) 1\/3 (d) -7\/8 (e) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34282628 is divided by 808?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -21*o + 25*o + 20, 5*o + 2*u + 7 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3*r - 25, -2*r + 558*l = 561*l - 35 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - k + 38 = -v, -3*v = 2*k - 59. What is the highest common divisor of v and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4\/3 - 355*c**3 + 25844*c**2 - 1439908*c\/3 + 454480 = 0.\nAnswer: 1, 30, 46, 988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h. Let s(f) be the third derivative of -f**5\/60 + f**2. Give s(k(m)).\nAnswer: -49*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.29, 45, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29525705 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*3)\/sqrt(2) - 5*(sqrt(5) + -1).\nAnswer: -2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3 - 7*v + (-3 + 2 - 1)*(0 + 0 - v))*(-4*v + v + v).\nAnswer: 10*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*b**2*l**4 - 45*b**2*l**2 + b**2 + 4*b*l + 165*b - 135*l**2 - 1 wrt l.\nAnswer: -252*b**2*l**2 - 90*b**2 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000596631717 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259943?\nAnswer: 259943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 5*f - 115, 5*o + 38778 - 38969 = 12*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*m - 88391 = -88051 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10225363 - 4?\nAnswer: -10225400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**4\/32 + 9*z**3\/16 - 2136*z. Factor b(t).\nAnswer: -3*t*(t - 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {i: 2, c: 7, o: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2704 divided by -676?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and ((-36)\/14)\/((-15)\/140)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 17*w**2 - 19*w + 18. Let f be t(18). Suppose -2*s - 4*k + 240 = 0, 4*k + 0*k - 8 = f. Calculate the remainder when s is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 77 + 75 + 39*l - 155 - l**2 as y*l**2 + k + p*l and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/((0 + 2)*1). Let a = -3 + u. Suppose a = 2*f - 1 - 3. Solve l = -1 + f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/27)\/((-124)\/1116)*(-216)\/80?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 5*k**2\/2 - 18*k + 16. What is the derivative of j(n) wrt n?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8477 + 20121. What are the prime factors of c?\nAnswer: 2, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 3. Let c = 85887.98 + -84850. Let q = 1038 - c. Does q = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23462176339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**7\/(i\/(i\/((i**8\/i)\/i)))*(i*i**(2\/9)\/i)\/i**9 assuming i is positive.\nAnswer: i**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.127 + -5.1. Let s = -3.257 + r. Let a = s - -3.2299639. What is a rounded to six dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*o = 4*l + 391*o + 111, -81 = 4*l - 5*o for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 39 = -409. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 340\/119 - ((-2)\/42)\/(8\/(-48)).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(833) + 2*(sqrt(17) + 0))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 7145062?\nAnswer: -7145057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**9\/68040 + z**8\/15120 + z**7\/11340 + z**4\/24 - 2*z**2. Let v(g) be the second derivative of b(g). Factor v(q).\nAnswer: 2*q**2*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.6 - 1.4. Let i = -66.152 + 66. Let g = 1.152 + i. Which is the fourth smallest value? (a) 5 (b) g (c) 2\/21 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3))**(-25)\/(c\/(c**(-13\/2)*c*c*c)*c**(3\/14)) assuming c is positive.\nAnswer: c**(-274\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 34. Suppose m = 4*o + 2*f - 40, -2*o - 3*f + 20 = 2*f. Calculate the highest common divisor of o and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o*w**2 - 233*o + 6*w**3 - 2*w**2 - w wrt w.\nAnswer: 8*o + 36*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108119 + 22559 = -3679*i - 182037 for i.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/427 + 2113\/4697. Let i = f - 13\/77. Let w(o) = o**3 + 9*o**2 + o + 4. Let y be w(-9). Which is the smallest value? (a) y (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2 + (-1 - 1 + 1)*(-2 + 2 - 2) + 1 - 8 - 3)*(4*a - 2*a - a) to k + r*a and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -2, 2, 8, 16, 26?\n\"Answer: b**2 - b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -2 + 3 - -10) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 u when four letters picked without replacement from qnuquqnuqquunn.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 + 90*v**3 + 93*v**3 - 266*v**3 + 84*v**3 + 1 + 37*v**2 in the form o*v**3 + b*v**2 + j*v + f*v**4 + n and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((73\/15 + -5)*5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1 + 3 = 0. Let z = y + 1. Suppose z = -v + 5*v - 40. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**7\/(y*y**0*y)*(y**(-1\/3))**(2\/41) assuming y is positive.\nAnswer: y**(613\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -263 + 271. Calculate the remainder when 46 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 1:25 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 - 2*p. Give r(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to 348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 0)*((2 - 2 + 2)*(4 - 4 - m) + (3 - 3 + 2)*(5*m - 4*m + 5*m)).\nAnswer: 40*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 81685662985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 - 2*q**4 + q**4 + 24 - 12 - 5*q**4 - 10 + (8*q + 3*q - 5*q)*(3*q**3 - 3*q**3 - 2*q**3).\nAnswer: -18*q**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Express -259*c**2 - 18*c**3 + 0 - 8*c + 16*c**3 + 0 + 7*c as w*c**2 + v*c**3 + y + k*c and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-43)\/(-12))\/((-9)\/(-6)) and 1\/(-3)*(-220)\/(-24)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -270, 1666, 0, 38 in descending order.\nAnswer: 1666, 38, 0, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*j + 17*j**3 - 10*j**3 - 12*j**3 - 194*j.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8314.118 weeks?\nAnswer: 5028378566400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -155 greater than -125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d - 3*g - 25 - 6 = 14*d - 27*d, 5*d + 4*g + 33 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/527 + -1042\/1581. Which is the closest to 0.04? (a) -9\/5 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -326 divided by 163\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, j: 7, p: 11}. What is prob of sequence jpjj?\nAnswer: 77\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 3\/3793031 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41103013 (base 5) to base 11.\nAnswer: 207185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5853 or -5852?\nAnswer: -5852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b = 40*b - 1454. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 5:28 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404 divided by -351?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 499, 2, 1\/9.\nAnswer: 1\/9, 2, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x - 39*x = 5*g + 10, -4*x + 20 = 5*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*((2*sqrt(200))**2 - -3*sqrt(8)\/sqrt(4)).\nAnswer: 45*sqrt(2) + 12000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12 + 2)\/((2\/2769)\/((-160)\/120))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2eb5 + -2?\nAnswer: 2eb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {e: 1, v: 3, b: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 = 28467\/1370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -53*o - 1922. Calculate n(-36).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10207\/98 equal to 105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4\/5 - 6066*f**3\/5 - 93286*f**2\/5 - 336096*f\/5 + 192128\/5 = 0 for f.\nAnswer: -1501, -8, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22165973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119 - -123. Suppose 4*h = -w*h. Factor 1\/2*q + 1\/2*q**2 + h.\nAnswer: q*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*j = -0*j - 111, -3*j + 70 = 2*v. Let y = -639 - -656. What is the remainder when v is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**2 - 5*o**2 - 11*o + 8 + 4. Let k be r(10). Solve k + 2 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.80108 plus -7?\nAnswer: -35.80108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222 a factor of 1225666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/15 + 3 - 3217\/(-3). Let g = 2268 - l. Suppose 0 = -3*j + g + 301. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 252000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) - (-134)\/3. Let r = -66 + v. Let f = r + 40. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - u = 19, -4*v - 2*u = u + 9. Let i be v + (-2 + 2 - 0). Let g = i - -10. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/((-210)\/27))\/(24\/(-2200)*-11)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**4*x**3 + 26*n**4*x - 6*n**3*x - 5*n**2*x**3 + 12*n**2*x + 8*x**3 - 2*x**2 wrt n?\nAnswer: 48*n*x**3 + 624*n*x - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2207588 is divided by 2722?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -240963*n + 240191*n - 50952 for n.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3*g)\/g**(3\/4))**(-1\/15)*(g*g*g*g**1)**43\/(g**(-1\/8)*g**(-1\/4)) assuming g is positive.\nAnswer: g**(20659\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 12 = -914*x + 909*x, 2*x = 4*m - 16. Which is smaller: -12\/1669 or x?\nAnswer: -12\/1669","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118 + -114. Let s = -47\/2 + 23. Let k = -330 + 2966\/9. What is the closest to -0.3 in k, t, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*r + 8, -2*x = -x - r - 10. Let a = x - 2. Let k = -2.84 - 0.16. What is the third biggest value in k, -1, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*f**4*j + 5*f**3*j - 2*f**2*j + 3*j + 66 wrt f.\nAnswer: -648*f*j + 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/12 + (-81)\/(-6). Suppose 2*h - 7*h + 23 = 3*a, z = 5*h + 5*a. What is the remainder when 12 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 - 2*b**3 - 96.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2400340 is divided by 3786.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*d**5 - 1775*d**3 - d**2 + 815748?\nAnswer: 2580*d**2 - 10650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, b: 4, e: 7}. What is prob of sequence ib?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2057*k**3 + 14 - 995*k**3 + 14 - 41 + 13 - 1053*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlpl when four letters picked without replacement from {p: 2, q: 3, l: 12}?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/7)\/((f**(-8)*f)\/f))**37 assuming f is positive.\nAnswer: f**(2183\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.2, 1\/90, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7156100.703 + -47124?\nAnswer: -7203224.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2846832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1001.1 - 1001. Let s = -1 + 1.3. Let k = 0.2 + s. Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p + 3 + 4*p**2 - 1 + 8*p**3 - 37*p**3 - 1. Let i be m(-2). Suppose -a = 4*a - 135. Calculate the highest common factor of i and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468906951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - i = 61, 2*l + 2*i = -0*i + 76. Suppose t + 587*x - 329 = 588*x, -3*x = 5*t - 1653. What is the greatest common factor of t and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 4 + 5 + g + 1.\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 41 - 51, -35*w + 59041 = 2*j. List the prime factors of w.\nAnswer: 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 16*u**2 + 2*u - 2. Give i(-16).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15\/((-345)\/(-22057)) - 1*-7*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 91 - 101 = 2*c, -4*j = -2*c - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3479 or -14\/13?\nAnswer: 3479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -1856*i + 27. Is b(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 14*u**2 + 16*u - 7. Let q be f(15). Suppose q*k - 2660 = -6*k. What are the prime factors of k?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -746, -5991, -20226, -47945, -93642, -161811, -256946?\nAnswer: -383541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -23*g**3 + 6. Let t(z) = -22*z**3 + 5. Give -5*c(h) + 6*t(h).\nAnswer: -17*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 40*y - 402. Determine a(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y - 91 - 86 + 177 in the form j*y + h and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 4*j**2 + 5*j + 2. Calculate the smallest common multiple of r(-5) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2623287*b**4 + 4324137*b?\nAnswer: 31479444*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 6 - 15 + 77*h**2 + 7 - 1 as k + y*h**2 + s*h and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.777531261 + -0.161482409. Let n = r - -0.939. What is n rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 310881, 1243496, 2797857, 4973964?\n\"Answer: 310873*s**2 - 4*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a + 0*a - 44 - 7*a - 9*a**2 - 12*a.\nAnswer: -9*a**2 - 37*a - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10378.\nAnswer: 2, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*n - 17. Suppose l + 0*k = 2*k + n, 0 = -4*k - 4. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**3\/3 + 9*k**2\/2 + 660*k + 1461. Differentiate z(a) with respect to a.\nAnswer: -2*a + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -353 (base 14) to base 6.\nAnswer: -3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1040*p - 720 = 1036*p. Calculate the lowest common multiple of 360 and p.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/159 (b) -137 (c) 2 (d) -29 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 - -83. Determine w so that -6*w**2 + 0*w**2 + 12*w**4 + 9 - 15 - k*w - 19*w + 27*w**3 = 0.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 + 1.38.\nAnswer: 3.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**23)*l)**(-44)*(l*l\/(l\/((((l\/l**(-7\/3)*l)\/l)\/l)\/l)*l*l*l)*l)**(-2\/49) assuming l is positive.\nAnswer: l**(142294\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvcviiucvvuvcvccvuvv. Give prob of sequence cvc.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 520, 3\/2, -2\/7, 0.3, -17?\nAnswer: 520","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + -22. Let p = 33.104 + j. Let t = -0.16 + p. Round t to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63 and -209115.8?\nAnswer: 13174295.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 48 - -1a6?\nAnswer: 1ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57557.6 millimeters to nanometers.\nAnswer: 57557600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**3\/3 - d**2 + d - 10. What is o(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/16 and -21\/1168?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 13*o**2 - 25*o - 27. Let a be n(-11). Suppose -156 + 168 = a*v. Sort 1, v, -4, 5 in decreasing order.\nAnswer: 5, v, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8610 rounded to the nearest one hundred?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 728288?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 + 0)*((-4 + 5 - 2)*(d**2 + 2*d**2 - d**2) + 4*d**2 - 2*d**2 - 3*d**2).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**7\/560 - 11*m**6\/320 + 27*m**5\/160 - 25*m**4\/64 + m**3\/2 - 330*m**2 + 2. Solve l(x) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/6*6\/(-4 + 2). Suppose o - 65 = -h*f - 13, -4*o - 32 = -4*f. Solve -f*j = -11*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/11 in 2\/7, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 5*g**2 + 7*g - 4. Let q be r(6). Suppose -q*l = l. Suppose l = -2*n - 0*n + 10. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2816) + 1 + sqrt(2816).\nAnswer: 1 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2655 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*((-8109)\/774 + 9) + 3. What is the second biggest value in j, 1, 2, -6, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 443.1 - 417. Let w = a + -26. What is the nearest to -1.4 in -0.2, 0, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6775898 times 0.1?\nAnswer: 677589.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 262630 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4240301 + -222?\nAnswer: 4240024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342 - 26 - 269*c**3 + 368.\nAnswer: -269*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(156)*5*1)\/(sqrt(60)\/(sqrt(20)*-6)).\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17717099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 11. Let s be u(8). Let d(r) = 25*r + 1. Let n be d(s). Calculate the remainder when 154 is divided by -7*1*-4 + n\/37.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.91866501 rounded to one decimal place?\nAnswer: 33.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35, -77, -121, -167, -215, -265?\n\"Answer: -m**2 - 39*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2755431895 to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 178.422 - 0.422. Let y = v + -183. Let b be (-30)\/20 - (-1 + 1). What is the fourth biggest value in b, -3, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ganjb. Give prob of sequence nab.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4 = -5*i, 5*i + 9*u - 7 = 13*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4*-6856\nAnswer: 27424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 807368166 and 594.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 7*g**2 + 3*g + 16. Give i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154472 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(1 + 0) - (-10 - -9). Suppose 0 = -2*h + l*f - 12, 3*h = -0*h - 4*f - 4. Which is the biggest value? (a) h (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 1 + -2 + 4)*4)**2 + sqrt(147) + -3*-3*sqrt(147) + (0 + sqrt(147))*1.\nAnswer: 749*sqrt(3) + 2496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**3 - 5\/8*b**4 + 0 + b**2 + 33\/20*b**5 + 0*b. Let h(u) = 0. What is u?\nAnswer: -2\/11, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 11 + 16)*(-54*a + 407*a + 56*a) to the form d + l*a and give l.\nAnswer: 6953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 15506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 4*v**2 + 0 + 5 - 40*v to the form u*v + z + w*v**2 and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989875789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(128) - (2*sqrt(128) + 1))**2 + 5 + 4)*-5.\nAnswer: -10290 - 320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -49 - (588 + -567)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33891 is divided by 1352?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 20.257791 months?\nAnswer: 0.0168814925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68877050 a multiple of 1457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -61*x**3 + 237*x**2 + 4*x - 2. Let o(s) = -244*s**3 + 949*s**2 + 18*s - 9. Let c(t) = -4*o(t) + 18*y(t). Find the third derivative of c(m) wrt m.\nAnswer: -732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -12 (b) 5 (c) -0.026\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*i + 25, 2*l = 3*i + 2*i - 59. Let c be 1 - 2 - (-5)\/4. Which is bigger: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -278*b - 1845. Let p(q) = -333*q - 1843. Determine 6*n(s) - 5*p(s).\nAnswer: -3*s - 1855","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 18 = -4*t. Suppose -t*d + 2*o + 36 = 0, 0 = 3*d + 5*o - 11 - 46. Suppose 2*j + d = z - 0, 6 = -3*j. Solve -b = -3*b - z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 9:56 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*45\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -572*m - 1446*m - 694*m - 488*m - 3324*m in the form p*m + c and give p.\nAnswer: -6524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7257, 27311, 57603, 95571, 138653, 184287, 229911?\nAnswer: 272963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (6 + -5 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {m: 4, i: 2, j: 1, w: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6666 to 2 dps.\nAnswer: 1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*m**3*u**3 + 294*m**3*u + 7*m*u**3 wrt u?\nAnswer: -84*m**3*u + 42*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 5*m + 2. Let h(z) = -z**2 + 5*z. Let y be h(4). Calculate the smallest common multiple of s(y) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470.136 rounded to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 10. Sort 4, n, -4.\nAnswer: -4, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/23)*i*(i*i\/(i*i*(i\/i**(-3\/7)*i)\/i*i))\/i)\/(i**(1\/6)*i**(-2\/17))*(i**3\/((i\/(i*(i\/i**(-4)*i*i)\/i))\/i))\/(i**0*i)**(-19) assuming i is positive.\nAnswer: i**(434123\/16422)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-12) + -1)*135\/60?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/35607000 and -49\/13200.\nAnswer: 71214000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135238 = -2768*k + 210762 for k.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/12*(-36)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -5*t - 4*k, -t - t + 3*k = 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*i + 8 = 0, -4*i - 16 = -4*f + i. Suppose f*x - 7 - 45 = 0. Solve -2 - x = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59132*v - 3 - 1 + 4.\nAnswer: -59132*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2155 - -3469. What is the greatest common divisor of 36 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6030.2155 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 321087888 a multiple of 1782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**3 - 65*u**2 - 41*u + 21 = 0.\nAnswer: -21, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -13*d**7\/15 - 17*d**3\/6 + 255*d**2. Differentiate z(h) with respect to h.\nAnswer: -728*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.273 take away -0.0091?\nAnswer: 0.2821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/2 + 16\/32. Solve z = 6*w + 22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + sqrt(180)\/sqrt(4)*5.\nAnswer: 6 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -18. Let q = i + 38.9991. Round q to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + (18 - 6 - 11 - 19)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y + 90 - 230. Do y and 96\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 4:36 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 4*v = -4500. Let f = v + 10501\/28. Find the common denominator of (-3)\/(-2)*(-11)\/(-8) and f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 10903 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 7*q - 9. Suppose -q*n + 1251 = -n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9693 - 1316 + 1856)*(-a - 3 + 3) in the form l + c*a and give c.\nAnswer: 9153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 - 5*g - 5. Suppose -16*c + 14*c - 30 = 0. Let i(u) = -u**2 + u + 1. Let h(y) = c*i(y) - 3*t(y). Let q(w) = w. Give q(h(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233806 to the power of 1\/2, to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -5.8. Put q, -3, -4 in descending order.\nAnswer: q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**2*k**2*y**2 - i**2*k - 5*i**2*y**2*z - 8*i**2*y*z + 7*k**2*y**2*z - k**2*z wrt k.\nAnswer: -6*i**2*y**2 + 14*y**2*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.20883 and 41707.\nAnswer: 8709.67281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107874 by -3.\nAnswer: -35958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -35. Solve 0 = -0*c - c - 5*b - s, -3*c - 5*b = 19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {s: 4, x: 3, t: 1, o: 5}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9636 - -0.0364. Which is the biggest value? (a) m (b) 1\/3 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9116 and 9115 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**3 + 27*c**2 - 341*c - 161. Calculate o(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -47327653\nAnswer: 18931061.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/5 - 14824*i**3\/5 - 54922918*i**2\/5 + 109890312*i\/5 - 54952569\/5.\nAnswer: -(i - 1)**2*(i + 7413)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635988378.\nAnswer: 2, 3, 105998063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 254085 and 3232743.\nAnswer: 3909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -0.1 (b) 1 (c) 2\/17 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 122077 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 994 = -y - 10*n - 87*n + 218, 4*n + 32 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 - t + 6. Let g(d) = -5*d**2 + d - 7. Let o(w) = -3*g(w) - 4*k(w). Let j(x) = 74 - 518*x - 78 + 519*x - x**2. What is 5*j(f) - 6*o(f)?\nAnswer: f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j + 13. Let n(d) = 353*d - 117*d - 121*d - 2 - 114*d. Let z(t) = 3*n(t) + y(t). Let m(v) = -9*v + 8. Determine -6*m(p) + 7*z(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 l, and 1 m when three letters picked without replacement from zczcmccalczlc.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 70419 * 0.1\nAnswer: 7041.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2\/(b\/b**(-3\/7)) assuming b is positive.\nAnswer: b**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -3*(sqrt(117) - 3*sqrt(117)) - sqrt(117)) + -5*sqrt(117)*2)\/((sqrt(324)*-6)\/(1*sqrt(4)*-2)).\nAnswer: -4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)*i**(4\/9))**(-1\/54)\/((i\/(i**(1\/4)*i*i))\/i*i\/i**(1\/7)*((i\/(i\/i**(-1)))\/i)**(3\/14)) assuming i is positive.\nAnswer: i**(12421\/6804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 11*s**2 + 14. Let z be n(-11). Suppose 10 + z = 2*t. Suppose 62 = 5*c - 103. What is the lowest common multiple of t and c?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 160 and 56 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 0. Let i(a) = a**2. Let f(o) = 327 - 161 + 5*o**2 - 166 - o**3. Calculate g*f(w) + 10*i(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 12*i**2 + 67*i + 61. Suppose -57 = 12*k + 279. Is q(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2\/2 - 1875*p\/2 + 56814 = 0. What is p?\nAnswer: 68, 557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -470909\/68 - -27701\/4. Let y(z) = -z**2 + 3*z + 3. Let t be y(4). What is the nearest to 1 in g, -3\/5, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-110) - (-2 - (1 + -2))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 119*b - 120*b + h, b + 5*h = 1. Suppose -3*o - 8*w + 3*w + 174 = 0, -o - w + 56 = 0. Let l = o + b. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10878336)\/882)\/(-142) - (39\/21 - 1)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2417974 - 1607964. Suppose b + 0*h = 5*h + p, -b + 809996 = 2*h. Round b to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11124 and 16739148?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-9) + (-8206)\/(-28017). Let f = 34443\/2830 - l. Find the common denominator of (-4)\/((-36)\/(-33)) + -2 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -384 - -3a30?\nAnswer: 3657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from rllrrorloolllorlorr?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5815 is divided by 422.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8603?\nAnswer: 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -1389?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 + 0.56. Let w = o + -0.476. Let c = w + -0.0114. Round c to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 256615 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25728 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Suppose -4*w + g*d - 2*d = -266, -5*w + d = -329. Is w a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 43310 = -7*o + 68890. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -1 - (5 + -2) - (-1 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*k**2 - 3*k**2 - k - 10*k**2 in the form p*k + z*k**2 + j and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 325 + 325 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - 0. Let a be (143\/q)\/(-1 + (-3)\/(-2)). Let i(x) = -x**3 - 6*x**2 - 10*x - 36. Is i(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = 0, 0*x - 2*x + 13 = -5*y. Which is the third smallest value? (a) -1 (b) x (c) -3\/4 (d) -129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 3752?\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1427*p - 2. Let d(o) = -709*o - 1. Calculate 7*d(m) - 4*n(m).\nAnswer: 745*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**3 - 3*v**2 - 5*v - 16. Let c(u) = 5*u**3 - 4*u**2 - 6*u - 15. Let x(o) = 2*c(o) - 3*i(o). What is the units digit of x(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*x + 0 - 1 + 4*x + 2 - 22*x - 170*x**2 wrt x?\nAnswer: -340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10021470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 94120150 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-18))\/(39\/234)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196 and 8260?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -3 - 66) + (54 - 55 - -3)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2150 divided by -238?\nAnswer: 1075\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000964 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 189457223.\nAnswer: 189457230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 225 + -280.5. Let q = 4.5 + n. Let i = 51.000081 + q. What is i rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(1\/(6 - 8)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m - 4. Let n be 9*(48\/(-9))\/(-2). Let w = -22 - -16. Let u be w\/(-4)*64\/n. What is h(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 3*z - 2*z - 16*z.\nAnswer: -21*z - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66881, -66886, -66903, -66938, -66997, -67086, -67211, -67378?\nAnswer: -67593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8 = -3*r. Find i, given that -6*i**3 + 0*i**2 - r*i**4 - 8*i**3 + 2*i - 6*i**4 - 4*i**2 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2272281 is divided by 5016.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8211 - -1018137\/124. Let w = m + -1\/31. Let f = -3 - -3.3. Which is the nearest to -2? (a) 0.4 (b) f (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 132?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 181*g**2 + 2*g - 1. Let u be s(1). Which is smaller: u or 183?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**5\/11 - 313920*q**4\/11 + 11303064*q**3\/11 - 101733408*q**2\/11 = 0?\nAnswer: -156996, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-12)*6*32\/(-24). Solve -245 = 41*z - h*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -25*b. Let r(k) = 57108563 + 36*k - 57108563. Determine r(w(o)).\nAnswer: -900*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8945, -35737, -80373, -142853, -223177?\n\"Answer: -8922*a**2 - 26*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 818, 6, 5984 in ascending order.\nAnswer: 6, 818, 5984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 35. Let h be (-6)\/i + 6899940\/50. What is h rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 4*x**2 - 8*x - 10. Let w be d(-5). Let p(b) = b**2 + b - 1. Let u be p(0). Let g = 1 + u. Solve g*y + w*y - 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4, 0 = -5*i - 4*c + 6 + 12. Put 1, 3, i in descending order.\nAnswer: 3, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 - (664 - 673).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -1)*(0 + -3). Let c(w) = w**2 + 3*w - 7. Let x be c(-5). Suppose -3*g + 5 = -v, x*g - v - 4*v - 1 = 0. Solve m*i = g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 11:21 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11975 - -11978. Which is the closest to y? (a) -4 (b) 7\/10 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174921838?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500315941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 1. Let o(k) = 8*k + 6. Suppose 5*h + 12 = 2*n + 3, 0 = 4*h + 4. What is n*o(f) - 12*z(f)?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1295 or -951?\nAnswer: -951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41\/68 - 6\/17. Let g = 32.57 + -43.57. Let t be (-32)\/(-180) - 8\/20. Which is the closest to 0? (a) g (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 4560.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: bcb8b (base 16) to base 4\nAnswer: 2330232023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5995, -11562, -17133, -22708?\nAnswer: -28287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 51. Which is the biggest value? (a) -0.3 (b) 0.06 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-72)\/(-20) + (-6)\/10. Find the second derivative of x**4 - 3*x + p*x - 4*x wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-3)*12\/8. Suppose b = d*b - 9. Suppose 8 = -s + b*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 31, 20808, -5.\nAnswer: -8, -5, -2, 31, 20808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**5\/4 + 6*y**4 + 99*y**3\/2 - 177*y**2 + 741*y\/4 - 63 = 0.\nAnswer: -7, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {d: 2, s: 1, x: 2, e: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/12*x**3 + 65\/12*x**2 + 0*x + 0.\nAnswer: -x**2*(x - 65)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -3, 318 in decreasing order.\nAnswer: 318, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 1. Let v(x) = 11*x + 2. Let l(h) = 23*h + 4. Let b(j) = 2*l(j) - 5*v(j). Let y(k) = b(k) - 2*s(k). Let f(o) = 8*o**2. Give y(f(i)).\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = o - 21, 2*i = -4*o - 0*o - 4. Suppose 7*g = 4*g + 9. Let u(x) = x**2 - 2 + 4*x + 2 - g*x. Let h(s) = -s**2 - 6*s + 2. What is i*u(j) - h(j)?\nAnswer: -3*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*2\/(-8) - -9. Solve -2*i = -4*c - 7 - r, 0 = -4*i - c + 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 67219394 in increasing order.\nAnswer: -4, 1, 67219394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 297.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3105 and 49680.\nAnswer: 49680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 1018, 1861, 2924, 4195, 5662, 7313, 9136?\nAnswer: 11119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 17*m + 15. Suppose -3*x - 29 = -2*f, -9*x + 5*f - 34 = -7*x. List the prime factors of j(x).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3 = 0, 5*h + 0*q = -3*q - 413. Let m = 217 + h. Is m a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 2*f + 162 = 0. Let v(c) = c + 20. Let q be v(f). Solve -m - q = 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -404, -817, -1230, -1643, -2056?\nAnswer: -2469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 153 = 3*a, 4*a = 3*p - 811 + 969 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4428 and 6724.\nAnswer: 181548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 12*n + 26. Let z be h(14). Let q = 7\/3 + z. What is the nearest to q in -3\/7, 2, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43 + 270*q**4 + 22 + 9 - 142*q**4 wrt q?\nAnswer: 512*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/17 - 206*p**2\/17 + 5200*p\/17 + 5408\/17.\nAnswer: 2*(p - 52)**2*(p + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-430))\/(401\/((-384960)\/768))?\nAnswer: -3\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2948 and 206126371?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 5*n - 4. Let y(k) = k - 1. Let p = 20 + -22. Let c be y(p). Give t(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 733597778 to the power of 1\/2, to the nearest integer?\nAnswer: 27085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -53. Suppose d - 5*l = 54, -4*d + o*l - 63 = -279. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - -72) + -60 + -2 + (-2 - -6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1671?\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 0, -0.01, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 33059650 to the nearest 100000.\nAnswer: 33100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((r**2 + r**2 + 0*r**2)*(2 - 2 + 2*r**2) - 2*r**2 + 2*r**2 + r**4 + (2*r**2 + 0 + 0)*(0*r**2 - 4*r**2 + r**2))*(2*r + 5*r - 5*r).\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*j. Suppose 101*t - 100*t - 60 = j. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**3 + 184679219*g**2 - 56060563.\nAnswer: 9*g**2 + 369358438*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35)\/(-14) - (-2)\/(-4). Suppose 0 = -o + u*y - 25, 3*o + 25 = -4*y - 0. List the prime factors of (-84)\/o + (-4)\/(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19060\/15*(-48)\/(-64) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**2 - 23 + 23 + 13*s**2.\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddgggdddgdfdfdg. What is prob of sequence dg?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 19. Is w greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 14 = 4*w. Suppose -2*x + 6*x + 12 = 0. Sort -5, w, x in ascending order.\nAnswer: -5, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*y - 79, 2*p - 31 = p + 4*y. Let h(i) = -6*i. Let s be h(2). What is the remainder when p is divided by 10\/(-3)*s\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -214*s + 277 - 919 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 53*p - 347. Let k be q(-6). Solve 12*m - k*m + 4*v + 20 = 0, 20 = -5*m + 5*v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0039? (a) -0.4 (b) 32 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 828, 1654, 2480?\nAnswer: 3306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:56 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -75 and -1636163?\nAnswer: 122712225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 10:11 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131331022140 + 2?\nAnswer: 131331022142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtys when four letters picked without replacement from sytju.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*v**3\/2 - 14*v**2 - 11*v\/2 + 1.\nAnswer: -(v + 1)**2*(15*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 3:55 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 16*s - 22. Calculate z(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 6 + (-19 - (-4 + 1 + 4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 0.3, -2, 0.5, 49173 in descending order.\nAnswer: 49173, 4, 2, 0.5, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -178 or 424?\nAnswer: 424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 359 - 328. Which is greater: 30 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 11, 2, 124.\nAnswer: -1, 0, 2, 11, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.49 - 0.55. Let f = y + 0.060196. What is f rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v - 7*v - 8374 + 8374.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 3*w**3 + 2*w**3.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 18*l - 74. Let w be r(11). Solve -w*v - 14 = -5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 286230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*b + b. Suppose -101 = -t - 3*l, -b*l - 523 = -5*t - 0*l. Suppose -t = -6*z + 346. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(90)\/sqrt(5).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p**3\/2 + 574158455*p**2\/2 - 688990119*p\/2 + 206697033\/2 = 0.\nAnswer: 3\/5, 22966337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/(l**19*l)))*l**(-2\/63))**(-27) assuming l is positive.\nAnswer: l**(3597\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 29 = -q, -3*q - 450 + 501 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*f - 4*i, 5 = 2*f + 2*i - 3. Let s(q) = 2*q**2 - 4*q. Let c = -53 - -84. What is the remainder when c is divided by s(f)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1553472*h**3 + 35377698 wrt h.\nAnswer: 4660416*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -17*w - 19. Let v be l(-17). Calculate the highest common divisor of 45 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41187*0.12.\nAnswer: -4942.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5183*z + 13. Let f be (-58)\/(-10) - (-1)\/5. Let a be 136\/12 + (-2)\/f. Let p be c(a). What is p rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a68 + -2?\nAnswer: -3a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - g + 1. Let c(y) = 6*y**2 + 7*y - 4. Determine c(h) + 3*v(h).\nAnswer: 3*h**2 + 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 - 706*h + 10998. Give y(-250).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -11*b**2 - 6*b - 5. Calculate t(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -71*b**6\/15 - 29*b**3\/6 - 2*b**2 - b + 67. What is the second derivative of z(n) wrt n?\nAnswer: -1704*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 10, -4*z + 288 = -5*h - 686. What is the remainder when z is divided by (2\/(-14) - (-200)\/(-70))*(-1155)\/99?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -2\/7, 3, 5\/6 in descending order.\nAnswer: 3, 5\/6, 0, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20048147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6}. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzttzkzzkzttkkttkzk. Give prob of sequence ttk.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1124312010?\nAnswer: 1124312012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqmkmqnmmk. Give prob of sequence qkmo.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3659172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3796 and 2920?\nAnswer: 37960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/20651664 and -113\/660?\nAnswer: 103258320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 1. Let f(p) = -5*p**2 - 4*p - 2. Let q(r) = 10*r**2 + 7*r + 3. Let i(l) = -7*f(l) - 4*q(l). Let a(k) = i(k) - 6*w(k). What is a(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duufafk. What is prob of sequence uuak?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5880856?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4389285 (b) -0.1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00871184 rounded to five decimal places?\nAnswer: 0.00871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 11*r**2 + 2*r - 15. What is the hundreds digit of s(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncl when three letters picked without replacement from {n: 2, l: 2, c: 6, k: 1, i: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r + 28*r - r + 3 - 11*r to the form o + l*r and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Let n(i) = 4*i + 5*i - 10*i + 12 - 11. Calculate -3*d(m) - n(m).\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10020 divided by -501\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 1 - 2*k**2 + 4*k**2 + 4*k - 3. Let j(y) = -56*y - 564. Let f be j(-10). Calculate r(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 8. Let l be c(12). Suppose -146*u + 156*u - 20 = 0. Solve -u*t = 3*t - 5*j - 30, 0 = l*t - j - 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 14 = -6*l. Suppose -5*z = -46 - 204. Let t = l + z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*((4 + sqrt(180)*-2)**2 - (-2*(sqrt(180) + 1))**2)*-4.\nAnswer: -3456*sqrt(5) + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(86*k**3 - 4*k**4 + 1484807*k - 1484806*k + 7*k**4) to c*k**3 + x*k**2 + z*k + w + f*k**4 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2558, 121, 3, -2 in descending order.\nAnswer: 2558, 121, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 - 106. Calculate the remainder when 45 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 6. Let k be w(8). What is the first derivative of 2*l + l + 6 - k*l - 3 wrt l?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/198 and -143\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91560)\/30408 + (-1)\/(-3)*(-36 + 45)?\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13705?\nAnswer: 5, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 51.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g - 4. Suppose 5*b + 8 = -7. What is i(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5de - -3?\nAnswer: -5db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -358 - -362. Solve 4*x = a*k + 2*x, 5*k = 3*x - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2538 divided by -4\nAnswer: 1269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 46 + (-1389 - -1358).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1371\/2 - 126133\/184. Let g = t - -277\/184. What is the second smallest value in -4, g, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - ((-225)\/10)\/(-15))\/(15\/(-30))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjjjbjjjjjbjjj. Give prob of picking 2 b and 1 j.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (288*x + 287*x - 92 - 577*x)*(4*x**2 + 5*x**2 - 5*x**2).\nAnswer: -8*x**3 - 368*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 16) to base 11.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 + 9. Let m = j + -12.20000059. Round m to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/25*(-5)\/2. Suppose 3 = -2*p - h. Sort p, -0.2, -6.\nAnswer: -6, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/45*10)\/((-2)\/(-1)))\/1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-154)\/119)\/(-11) - (-3660)\/102. Calculate the highest common factor of 576 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrrryrdyyyy. What is prob of picking 4 r?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 618416.1 kilograms in tonnes?\nAnswer: 618.4161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4*w - 14, 127*w - 69*w = -2*l + 57*w - 19 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5515 - 311224?\nAnswer: -321143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 422928 and 153792.\nAnswer: 1691712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 561 and 277848.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 306340547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 0 - 2)*(1 + 0 - 2) - 73 + 14 + 36)*(-78324 + 160*a + 78324) to the form l + m*a and give m.\nAnswer: -3840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n - 1198 = -1429 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 = 2*y - 9, 0 = -2*y + 3*v + 9. Suppose 2*a = -4*w - 84, -w + 4*w - 2*a + 63 = y. Let c be (-6)\/w - 92\/28. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/4 + 8\/16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 3 - (16 + -3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15 - 1) + -52 - -21) + 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 41) + 24 + -27.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/(-416)*-8*(-3)\/(-5).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*t + 1 = -6, 5*w - 17 = t. What is the biggest value in w, -19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74803793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -103 - (-16 + (-12 - -9) - -23).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 - -1962. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 + 390*h + 789. Determine k(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 32*z + 144. Let k = 180 + -162. Calculate the remainder when i(k) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00411 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/2*(0 - 162). Let d = m - 287. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 5*x**2 - 9*x - 6. Determine b(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213\/4 - -54. Sort -1\/6, -1\/3, u.\nAnswer: -1\/3, -1\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 3*i + 6. Let p be (-1)\/((5\/20)\/(-1)). Let u be ((-5)\/((-10)\/p))\/(1\/(-2)). Let o be ((-7)\/u)\/((-8)\/(-32)). Calculate n(o).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 12:56 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 2. Let c be s(-3). What is the third biggest value in 0.5, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801*l + 202*l - 531*l = 28*l + 22002 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20967553 and 2.\nAnswer: -20967551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 324, 489, 652, 813, 972, 1129?\nAnswer: 1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-21) + (-52)\/14. Let s = 2694 - 2694.4. Which is the closest to 4? (a) 2\/7 (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*w + 4233 = 2414 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 4*g**3\/3 + 213. Determine f(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1094 by 1.\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 102 = 2*u. Let f = u - 29. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16020 divided by 534\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 82 - 276 = -3*v, -v + 62 = -i. Calculate the highest common factor of 33 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 3:02 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 9 (c) 2 (d) 0 (e) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3722, 4, 4\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4087448*d + 2 + 169*d**4 - 4087434*d - 12 + 8 + 0*d**4 + 3*d**4 - 2*d**4 + (0 + 2*d + 0)*(4*d**2 + d**3 - 4*d**2).\nAnswer: 172*d**4 + 14*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50001, -100197, -150375, -200529, -250653, -300741, -350787?\nAnswer: -400785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 12:06 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 3\/4, 8, 5, -2\/27, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 18, -67\/7 in decreasing order.\nAnswer: 18, -0.3, -67\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 1.69334?\nAnswer: -1.79334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -120, -180, -338, -642, -1140, -1880, -2910?\n\"Answer: -8*n**3 - n**2 - n - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109240?\nAnswer: 2, 5, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9831357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/1005 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/11 + 2*z**3 - 4*z**2\/11 - 240*z\/11 = 0.\nAnswer: -10, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -13*m**3 + 41*m**2 - 22*m + 53. Let z(p) = 3*p**3 - 10*p**2 + 5*p - 13. Let k(c) = -2*o(c) - 9*z(c). Let y be k(8). Solve y*j = 2*j + 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 3\/4, -4, -18?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929 a factor of 2281011636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*m = -836*m - 2*g - 55, -4*m - 4*g - 140 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 377767 + -4536011\/12. Let k = -233 - f. Let i = -20\/33 - -2281\/660. Calculate the common denominator of k and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2333, 3\/8, -5\/19?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 - 4864*q**2 - 9729*q\/2.\nAnswer: q*(q - 9729)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 3411*p**3 + p**2 + 3397*p**3.\nAnswer: -14*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/330 and -79\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u**2 + 1958*u - 3924. Let s(j) = -100*j**2 - 21540*j + 43165. Let i(n) = -45*k(n) - 4*s(n). Factor i(f).\nAnswer: -5*(f - 2)*(f + 392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*p + 50, v - 100 = -8*p + 4*p. Let d be (2365\/p)\/(-11) + 11. Factor -d*r**2 - 12\/5*r - 4\/5*r**3 - 4\/5.\nAnswer: -4*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 6*m + 7. Let u = 6 + -11. Let v be i(u). Suppose v*p - 9 = 7. Calculate the greatest common factor of 40 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -38*q + 1. Let l(k) = 20970*k. Calculate g(l(d)).\nAnswer: -796860*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2 - 4*s - 3*s**2 + s**2 + s**3 - 1. Let r be u(-3). Is 7 a factor of r\/6*(4 - -59)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 858349.9nm?\nAnswer: 0.8583499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13 + 3 + 6*s - 7*s - 12 wrt s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3072.136011 - -3067.156010874. Let k = m + 4.98. Round k to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7170*d**2*m**4 + 2*d**2 + 2192*d*m**2 + 35*d*m - d + 41*m**4 wrt m?\nAnswer: 172080*d**2*m + 984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/5 + 11064*b\/5 - 4424 = 0.\nAnswer: 2, 5530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7643026ng in milligrams?\nAnswer: 0.0000007643026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/19, -421, -3\/5 in decreasing order.\nAnswer: -4\/19, -3\/5, -2, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 13*c + 5. Let b be u(12). Let y = b - 10. Calculate the least common multiple of y and 19.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53223 - -53226. Suppose 3\/2*h**2 - 3\/8*h + 3\/4*h**4 - 15\/8*h**l + 0 = 0. What is h?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 11*b + 8*b)*(-346*b - 385*b + 236*b).\nAnswer: -8910*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = 3. Suppose -3*f = 5 + i. Is -3\/4 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 2, w: 1, z: 1, t: 4, v: 3, s: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 237 and 63.\nAnswer: 4977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12819076 = -486*z + 2344124. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -19*g**2 - 9*g - 6623 + 42*g**2 - 273*g - 10*g**2. Let n(j) = -9*j**2 + 282*j + 6624. Let x(m) = 4*n(m) + 3*w(m). Factor x(p).\nAnswer: 3*(p + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 2 + (3 - -1). Let b = 6 - w. Let c = 8 + -6. Solve 24 + 4 = 5*d + b*k, c*k = d - 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.67, -3, 139, -1\/9, 22?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -44e2 (base 15) to base 3\nAnswer: -202001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102212101212 + 0?\nAnswer: -102212101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16847 * 0.6\nAnswer: 10108.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85385*p**4 + 169622*p.\nAnswer: 1024620*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 794077*w + 163 = 794079*w + 31*y, -5*y = -3*w + 90 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 1042*b - 2086*b + 1042*b.\nAnswer: -b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2154672 and 7\/673335.\nAnswer: 10773360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 2*t + 2. Let j(p) = -p**2 + 2*p + 1. Determine -3*j(q) + 4*u(q).\nAnswer: -q**2 + 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054067198 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-8 - ((32 - (-14 - -4)) + -7 - -2))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.078? (a) 1.1 (b) 10\/7 (c) 1\/2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -7. Let n(x) = -x - 6. What is the smallest common multiple of m and n(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-6)\/4*(-34)\/(-17). Let p(j) = 0*j**2 + j + j**a + 9 + j - 11*j. Determine p(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 12*(-2)\/10. Let a = -4.87 - 0.13. Let c be ((-8)\/(-26) + 0)\/2. Put t, c, a in ascending order.\nAnswer: a, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 311950854 divided by -24282\nAnswer: -12847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51\/2 of a gram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -6*c + 3*c + 68, 2*c - 4*d = 48. Suppose -s - l + 139 = 0, -s - 3*s + 562 = l. Calculate the remainder when 1\/(-6)*-2*s is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*u + 5*s, 43*u + 8 = 42*u - 5*s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27 * 0.03.\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070693 to the power of 1\/2, to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b - 30 = 0. Find the second derivative of -b*f**2 + 8*f**2 + 20*f - f**2 + 12*f**2 wrt f.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1 = 2*k, -2*v = -5*k - 20 + 12. Is ((-370)\/(-3) - v)*21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 424, 635, 848, 1063, 1280, 1499?\nAnswer: 1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 724933?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (16 - (8 + -4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*q = -94 + 72, -2*g + 24 = 3*q. Solve 0 = t - g + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 91 = 19*p, -117*c + 123*c + p - 17 = -0*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u + 11. Give s(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-78))\/3 - (4\/58 + (-2132)\/(-78416))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-14 + 5 - (-4 + -15)) + -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1670664?\nAnswer: 2, 3, 151, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -5 (c) -2\/29 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -853\/202314 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0700835418 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**3 - 3*v + 3. Let j(q) = 4*q + 8. Let w(c) = -7*c - 13. Let b(g) = -5*j(g) - 3*w(g). Give 3*b(z) + n(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2135, 2132, 2127, 2120, 2111?\n\"Answer: -o**2 + 2136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/168328 and -17\/1113.\nAnswer: 3534888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1430 + 1428. Suppose -f + 5*i = -12, 2*f = -0*f - 4*i - 4. Let b(k) = k - 2. Let a be b(f). Do y and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyjnyinjiyiiy. What is prob of sequence iny?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4*j = 19, 0 = -5*k + 2*k + 4*j - 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*n + 49. Find the common denominator of 35\/6 and 3308\/1144 - n\/(-52).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -565, -847, -1129, -1411?\nAnswer: -1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 1. Let l(h) be the third derivative of 7*h**4\/24 + 2*h**3\/3 - 9*h**2. Let q = -9 + 4. Calculate q*c(x) - l(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/3)\/3 + 44. Suppose -5*a - 11 = -x + i, -3*a + 25 = x. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3672\/11 + (-10)\/(-55). Let f = 2 - a. Let u = f - -493. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + v - 1. Let n(w) = 13*w**2 - 27*w + 76. Let t = 180 + -181. Let c(p) = t*n(p) - 5*q(p). What is the first derivative of c(y) wrt y?\nAnswer: -6*y + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73598 and 4802.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1899097.7 to the nearest ten thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-26*4\/4 + 1)*-9 is divided by 64?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 5*m - 2. Let o = -3847 + 3883. What is the lowest common multiple of x(-3) and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otw when three letters picked without replacement from otwqwqqqqqwwwqqwwo?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41137.\nAnswer: 31, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3350 divide 42907142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let 8 + 57*q**3 + 15 + 89 + 3*q**5 - 102*q**2 + 8 - 6*q**5 - 36*q = 0. What is q?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000526327 to seven dps.\nAnswer: 0.0000526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(78\/30 - 2). Solve 0 = -p*u, -3*t - 2*t = 5*u - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let a be 36\/(-99) + (-184)\/(-22). Let j(q) be the third derivative of 0*q + a*q**2 + 0 + 0*q**3 + 17\/24*q**4. Give r(j(n)).\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9682*h + 5546*h - 433*h + 11009*h.\nAnswer: 25804*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 - ((12 - 3) + 0)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 956987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, 0, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4))**15\/((v\/(v*v**(-2\/5)))\/v*v**(-4\/7)) assuming v is positive.\nAnswer: v**(-2059\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9355.019973 - -9355.1. Let g = -0.08 + n. What is g rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5 = -0. Let q = -19\/140 + -3\/20. Let z = 2 + -2.4. What is the third smallest value in z, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -1, 4, 1\/10, -2.606?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 2:55 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 119, 166, 213, 260?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19038884 to the nearest integer?\nAnswer: 4363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-492)*-548 - ((-1045)\/55 + -1)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 32*w + 9. Let v be h(-2). Let f = 255 + v. Suppose 0 = -7*d + 3447 + f. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + h - 98, -5*b - 3224 + 3328 = 3*h for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/20 + z**4\/3 + 2*z**3\/3 + 3*z**2\/2 - 5*z. Let a be r(-3). Is a - -1 - (-1 + -80) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*t - 30. Suppose -y - 2 = t, 5*n + 20 = -2*y. Is (-20)\/5 - (n + -160) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 2*g**2 + 0*g**2 - 4*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, m: 2, u: 2}. Give prob of sequence mqm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 - 12. Let x(n) = 1. Let m = -127 - -126. Calculate m*d(q) - 12*x(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54608455*x + 16677933.\nAnswer: -54608455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9307 is divided by 473.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -197*p**3 - 91 with respect to p.\nAnswer: -591*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 5 - 23*l - 5 as z*l + i and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 8*i - 8*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7146*k**4 + 18201*k wrt k?\nAnswer: 85752*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -35117392 smaller than -35117392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 24*k**3 + 18*k**2 - 231*k + 255. Let z(d) = 3*d**3 + 2*d**2 - 29*d + 32. Let s(y) = 4*o(y) - 33*z(y). Find m, given that s(m) = 0.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7544 and 3343878.\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 768.4 (b) -11 (c) -2\/3 (d) 2.2 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.13 (c) 2\/33 (d) -3\/22 (e) -0.02 (f) -9\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28420299 divided by -3?\nAnswer: -9473433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/72)\/(8\/(-48))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495525 is divided by 4164.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111\/54*(((-8)\/(-2))\/28)\/(16\/504)?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c04b - 0?\nAnswer: 1c04b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112612.999892767 + -112613. What is n rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 568579 and 0.4.\nAnswer: 568579.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37744\/117 - 2902\/9. Sort -2, a, 10, -5, -3 in decreasing order.\nAnswer: 10, a, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*u - 5, -4*b = -5*b + 4*u - 7. Suppose b*p + 695 = 2055. Suppose -p*t = -273*t - 4. What is the nearest to 0.2 in t, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5062 - -1?\nAnswer: 5063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1016 - -1115404?\nAnswer: 1114377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4 - (-11 + 11))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2589 + -1515. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11*w + 1. Let f(t) = -t**2 - 2250*t + 2. Determine f(b(p)).\nAnswer: -121*p**2 - 24772*p - 2249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 493846 to the power of 1\/2, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -244\/903 - 2\/129. Let t be 8\/(-24) - (-5)\/(-3). Let p be (-3 + 2)\/((-2)\/t). Which is smaller: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 2. Calculate j(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2483 is divided by 209?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/62 - 29\/682. Let m = 0.6 + 2.5. Let n = m + 1.9. Which is the closest to -2? (a) -3\/8 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 16757*k + 16745*k - k**3.\nAnswer: -3*k**3 - 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 2, -1\/5, -14, 3 in descending order.\nAnswer: 3, 2, -0.05, -1\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/2 (b) 3657 (c) -0.4 (d) -2\/17 (e) 1\/19557 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -0.64. Let u = x + 0.24. What is the nearest to -1 in -2\/3, 2\/3, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + f - 38*f**3 + 37*f**3 - 4 as u*f + o*f**2 + v*f**3 + m and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7731414 to the power of 1\/2, to the nearest integer?\nAnswer: 2781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184774 + -184772.600088. Let o = 8.4 - 7. Let t = s - o. What is t rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834890 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -350 + 373. Suppose r*a - 16*a = 945. What is the highest common factor of 180 and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*s - 7, -3*u - s = 4*s + 5. Suppose 3*r + u*x = 34, -r + 2*x + 8 = 3*x. Let j = -14 - -19. Solve 0 = r*c + t + 6, 2*t + 1 = -j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524067 is divided by 5575?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 513340 and 216.\nAnswer: 27720360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.18, 0.03, -1, 3?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 50*y**5 - 8*y**4 + 1964*y**3 - 2012*y**3 + 32*y**2 - 22*y**4 = 0.\nAnswer: -1, 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 728*v**5 + 15929*v**4 - 1035*v**2 + 877*v + 4.\nAnswer: 43680*v**2 + 382296*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(735\/900 - 10\/540*9).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2263, -2 in decreasing order.\nAnswer: 6, -2, -2263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.87 + -0.13. Let w = 2.8492 - 2.7492. Let j = -11\/3 + 3. What is the second biggest value in u, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.836386 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -11\/2*f**2 - 3\/20*f**5 + 4*f + 7\/6*f**3 + 2 + 0*f**4. Find the first derivative of r(m) wrt m.\nAnswer: -9*m**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -25 - (-4 - (4 + -4 + 3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 71 - 141 = -42 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrr when three letters picked without replacement from nnrrrnnrrrr?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 16*z = 688. Let u(a) = -3*a + 137. Let i be u(z). Is 0.6 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 11031.\nAnswer: -2\/11031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21311 + 10?\nAnswer: -21301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 i, and 2 e when four letters picked without replacement from zpezssipyieszpspspsp?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -7*r**6\/3 - 5*r**3\/3 - 10. Find the third derivative of y(j) wrt j.\nAnswer: -840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103119883 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -20, -4, 0, 1, -8 in descending order.\nAnswer: 1, 0, -2, -4, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1167 divided by 481.\nAnswer: -1167\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 348 and 5598\/99 + (-138)\/253.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*h + 40 = 0, -l + 5*l = -2*h + 74. Suppose -l = -5*j - 24. Does 6 divide -3 + -2 + 3 - -73 - j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.10009ms to minutes.\nAnswer: 0.0015350015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 28*r + 126. Determine w(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (200\/120)\/((-30)\/(-18))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u. Let n be 4\/(-28) - 75\/(-35). Let h(t) = -3*t**2 + t**n + 0*t**2 - 3*t**2. What is x(h(i))?\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + (-488)\/12)*30\/8. Let r = 147 + l. Suppose 18*j = r*j + 84. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z - 72*z + n + 1918 = 0, 270 = 5*z + 5*n for z.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-6)*(-2214)\/(-1353)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*f**4 + 8*f**3 + f**2 + 366809*f wrt f.\nAnswer: 444*f**2 + 48*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.2 - 6.200062. Round l to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, -3, -220, 3 in ascending order.\nAnswer: -220, -3, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/40)\/((-2)\/(-5))*(-56)\/(-42).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*j - 39*j**3 - 77*j - 41*j + 21*j**3 wrt j.\nAnswer: -108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 m when four letters picked without replacement from uvqmmuh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -18. Is (298\/j)\/(3\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 7*o**2 - 8*o + 13. Let q be l(-7). Suppose q = 3*p + 45. Suppose -2*a + 6 = y, p = 4*y + 2*a + 2*a. Sort 4, 3, y, -5 in decreasing order.\nAnswer: 4, 3, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 202613\/136 and 1489 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g**2. Suppose 0*n - 4*n = 28. Let y be n\/(-14) - 3\/(-6). Let i(v) = -1 + 162*v + y - 161*v. Determine i(t(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2333?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 825 and 2640?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2020 - 20003013?\nAnswer: -20011033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1197\/(-21) - -58)\/(34\/8)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 12 = -5*z. Suppose -z*t + 535 = 5*l, 2*l + 672 = 5*t + 5*l. Suppose 0*c = 3*c - t. Calculate the common denominator of 23 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 83448\nAnswer: 83440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3735, 3694, 3653, 3612, 3571?\nAnswer: 3530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.517 * 6\nAnswer: 3.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38564193*b**2*u**2 - 82*b*u**2 - 19*b*u - 2669*u**2 wrt b?\nAnswer: 77128386*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44\/5 or 1243?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1144144371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**4 + 400*y**3 - 308662*y**2 - 309060*y = 0.\nAnswer: -505, -1, 0, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 4. Suppose 7*t = 2*t - 30. What is x(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 82*r*x + 7279*r + 1016109*x wrt r?\nAnswer: 82*x + 7279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - p = -7 + 3, 0 = -4*r + 4*p. Let y(v) be the third derivative of -1 + 0*v**3 - 5*v**2 + 0*v**4 + 1\/20*v**5 + 0*v. Determine y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4660328 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -0.024, 0.47 in descending order.\nAnswer: 3, 0.47, -0.024, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26219753 and 18728395?\nAnswer: 131098765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(2 - 4) + (-167)\/(1350195\/(-64974)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 22375 = 3*l - 22423, -3*l + 60 = -2*s for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1630)\/(-150) - (-814)\/(-74). Suppose 5*o - 15 = -k + 2*k, k - 5 = 0. Sort o, 0.5, -4, s.\nAnswer: -4, s, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -1422431?\nAnswer: 1422423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 0*k**5 - k + 0*k**2 + 1\/12*k**4 + 0*k**3 - 1\/30*k**6 + 0. What is the third derivative of d(p) wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukuukkkkuuvkvuu. Give prob of sequence vuuk.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(308)\/sqrt(7) + sqrt(44) + -4)**2 + (2*sqrt(1331) - ((sqrt(44) + -2)**2 + sqrt(11) + sqrt(11))).\nAnswer: -28*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 13*h**3 + 6*h**2 - 6*h + 3. Let s(v) = v**3 + v**2 - v - 1. Let l(r) = o(r) - 6*s(r). Differentiate l(k) wrt k.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145646*a**4 + 5*a**2 - a - 9294 wrt a.\nAnswer: -3495504*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -3*r - 1256. Suppose 0 = -46*c + 601 + 2001 + 296. What is the remainder when r is divided by c?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 930*4\nAnswer: 3720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 17 - 5)*(0 + 4 + 4)*(-3*f - 2*f - f) to the form x + v*f and give v.\nAnswer: 1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*m = 5381*a - 5376*a - 1504, 32 = -3*a + 5*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - 2*v + 5*v)*(0 - 2*v**3 + 0) - 2*v**4 + 2*v**2 - 2*v**2 + (-2*v**3 - v**3 + v**3)*(v - v - 3*v)*(-3 - 1 + 2).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -1, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*s - 54 = 36*s. Calculate the greatest common divisor of s and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5317 - 913 = -178*n for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 14*r + 13. Let t be d(6). Suppose 400 + 700 = t*m. What is the remainder when 183 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4844*t = 4810*t - 170 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 5770\nAnswer: -3\/5770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-2))**(5\/14)*(s**(2\/5)\/s)**(3\/17))\/(s*s\/s**(-4\/9)*s*s**(-1\/4)*s\/(s*s*s*s\/(s*s*s**(5\/4)))*s\/(s*s**9*s*s)) assuming s is positive.\nAnswer: s**(5699\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -78?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 18 = 3*r, -4*w + 56211 = 5*r. Calculate the highest common factor of w and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -24, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10620, 11539, 12460, 13383, 14308, 15235?\nAnswer: 16164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21780613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.013 rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -44. Suppose -5*w - 2 = -l. What is the smallest common multiple of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 933*r + 5675. Is 153 a factor of h(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0 + 0*p**2 + 1\/6*p**3 - p. Let c(u) = 6*u - u - 3*u. Determine c(b(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -17. Suppose -u = -5*a - 2*x, 6 = -2*x - 0*x. Let s(i) = -i**3 + 7*i**2 - i + 3. What is s(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b45c5 + ae?\nAnswer: -b4516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 5*a**2 + 3*a + 20. Let j be w(6). Solve -5*f = -0*f - 4*q - 22, -j*q - 8 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.315, -35, 1 in decreasing order.\nAnswer: 1, 0.315, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 201 and 24.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 - (-30)\/4. Let s(m) = m**2 + 10*m - 8. Let v be s(y). Suppose -v = n - 4*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1784095 times -0.109\nAnswer: 194466.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.84908682 to one dp.\nAnswer: -36.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2 - 5 + 0 + 4 + (0 + 5 - 4)*(2 + 0 + 0) - 1 - 6 + 2)*(a**2 - 2*a**2 + 3*a**2) + (3 - 3 + 1)*(a - a - 2*a**2) - a + a + a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (310\/217)\/((-6)\/(-21)). Sort 2, p, 0.01, -1.3 in descending order.\nAnswer: p, 2, 0.01, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zznn when four letters picked without replacement from {n: 11, z: 5}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 2:42 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 19*r + 2. Let q be c(19). What are the prime factors of -16*(-618)\/15 - q\/10?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9506?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -29376\/5 != -5876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18901*h**2 - 17752?\nAnswer: -37802*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12684491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-12))\/(1\/(-96)). Let y = -43 - l. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(3\/7))**(24\/13))**(-27)*((i*i\/(((i**5\/i)\/i*i)\/i)*i*i*i)\/(i\/(i\/(i*i**(3\/5)\/i))))**(2\/29) assuming i is positive.\nAnswer: i**(-938326\/13195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 276 - 257 = -r, 0 = -2*s + 4*r + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -601, -933, -999, -799?\n\"Answer: 133*r**2 - 731*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**22)**(-10\/11) assuming z is positive.\nAnswer: z**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -2*y**2 - 15*y + 2. What is the remainder when d(-13) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13387392 is divided by 4462458.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.76 rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*v + 22 = -0*v, -v = 4*t - 17. Solve t = 5*i - 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 - 298*m**2 - 303*m - 716. Calculate o(-148).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 0*g**3 + 4*g**3)*(0*g**2 + 4*g**2 - 5*g**2 + (-2 + 1 + 0)*(1 + 3*g**2 - 1)).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.367 - 0.167. Which is the nearest to w? (a) -1 (b) 1\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -9. Let v = -10 + f. Suppose u - v*u = -80. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2 < -305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7500.564mg in tonnes?\nAnswer: 0.000007500564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.68 - 67.68. Let j = a - -62. What is the nearest to 0.2 in -1\/4, -2, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15354829?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000803927 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319 - 346 + 1312 - 314 - 313 + y**2.\nAnswer: y**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 6, 3*x - 546 = -2*v + 5*x. List the prime factors of v.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 6. Let r be o(-5). Suppose -r*s = -2*s. Which is smaller: s or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20656 (base 11) in base 9?\nAnswer: -45220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*y + 158. Calculate the remainder when 90 is divided by 6\/(-24) - y\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (3 - 4) + -3. Let u(r) be the first derivative of r**3\/3 + 2*r**2 + 3*r + 4. Let n be u(b). Which is smaller: -2\/13 or n?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 44. Suppose 0 = 2*a + 4*i - 22, 3*i = -3*a + a + 18. Suppose j = -a*f + 19, 5*j + 25 = 5*f - 0*f. What is the smallest common multiple of s and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208202 - -22456.76845\nAnswer: 230658.76845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4706 + -423. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/15)\/(14\/20 + 190\/(-285))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76734.03 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, j: 2, v: 4}. Give prob of sequence jjqj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-420)*7)\/((-2)\/(-4))*15\/6?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 2*b + b)*(4 + 0 + 1)*(5 - 1 + 3)*(-1 + 1 - 1) to the form j*b + k and give j.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 423340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 12. What is the third biggest value in q, 3\/4, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39012 - 18782 - 30492)*(4 - 2 - 4 + 2 - 2 - 1 + (0 + 4 - 2)*(-2 + 1 - 1) + 2 - 4 + 4 - 3 + 3 + 1)*(-3*w**3 - 2*w**3 + 4*w**3).\nAnswer: -41048*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 10*x + 14. Let t = 74 + -39. Suppose 2*i = -t + 13. Let p be m(i). Solve 4*h = -20, -p*h - 20 = -3*s + h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 2*s**5\/3 + 43*s**4\/6 + 44*s**3\/9 - 16*s**2\/3 + 1535. Solve l(p) = 0.\nAnswer: -8, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - -2190)*(-10)\/(-30)?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**6*g + 7556*b**3*g**2 - 37089*b**2*g**2 wrt b?\nAnswer: 240*b**3*g + 45336*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106816 rounded to the nearest 100?\nAnswer: 106800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174*y**2 + 6 - 1 + 16*y**2)*(y**2 + 4*y - 4*y) + 4*y**4 + 0*y**4 - 6*y**4 + 4*y**4 + 5*y**3 - 5*y**3.\nAnswer: -156*y**4 + 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150 + 215. Calculate the remainder when i is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8414 less than 0.05186?\nAnswer: 8414.05186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 670701.9m in centimeters?\nAnswer: 67070190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -742 - -537. Is -613\/3 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/63)\/o)\/(o*o\/(o*o\/((o\/o**(-5))\/o)))*(o**(-8))**(-48) assuming o is positive.\nAnswer: o**(23815\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 0.2, -5, 1\/312, 34.\nAnswer: -39, -5, 1\/312, 0.2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let f be (-17 - -1*(-185)\/(-10))\/(30\/(-16)). Which is the closest to -7? (a) 4\/3 (b) l (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:11 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22643*g**3 + 11366*g**3 + 29540*g**3.\nAnswer: 18263*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 8:00 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = 572*b - 571*b - 4, 5*h + 16 = 4*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003413 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1953307*y + 10191349*y + 975933*y.\nAnswer: 9213975*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -1.089.\nAnswer: -0.4356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -28. Let c be 0\/i*(1 + 0). Suppose c = 2*h + 3*h + 30. Let s(x) = -x**3 - 5*x**2 + 6*x + 1. Give s(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37237535 rounded to the nearest 100000?\nAnswer: 37200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*z**4 - 1152723*z**3 + 49768872?\nAnswer: 40*z**3 - 3458169*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -793. Calculate the greatest common factor of g and 332.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 574 + -326. Let i = w + -87. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b - 2. Let i be t(10). Let j be 1 + 3\/i*-175393. Let g = 12522 - j. Calculate the common denominator of -45\/16 and g.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/26*-338*42\/(-2184).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (29\/(-58))\/(-1*1). Let t = -8.8 + 8.4. Put t, -1, 6, l in descending order.\nAnswer: 6, l, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6969612 micrograms to grams.\nAnswer: 0.0000006969612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**4\/12 + 2*m**3\/3 - 7*m**2\/2 + 4*m. Let u be y(-5). What are the prime factors of (41\/1)\/(u\/(-2))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1863426 is divided by 743?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1. Let w(t) = t. Give 2*f(r) - 6*w(r).\nAnswer: -6*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227824?\nAnswer: 2, 29, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 136 = -20. Suppose -3*h = 5*t - 55, -2*h - 5*t - 35 = -5*h. Let m = h + s. List the prime factors of m.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 384*n**2 - 16*n + 1536.\nAnswer: 4*(n - 96)*(n - 2)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**5 + 869*c**2 - 673960*c + 2?\nAnswer: -100*c**3 + 1738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-8)\/(-18)*(-30)\/(-140).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 586444789 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s - 12. Let n(p) = p. Let m(v) = k(v) - 2*n(v). Let h be m(9). Find the third derivative of g**h - 2*g**2 + g**6 - 6*g**6 + 5*g**2 wrt g.\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 - (7 + -9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from {i: 1, v: 1, e: 1, f: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) -5 (b) -6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 1407731 - w + 1407729.\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 + -119. Suppose d*g - 7 - 3 = 0. Let q = 0 - 1. Which is the second biggest value? (a) -0.5 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14735770 and 8668100?\nAnswer: 147357700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/3600288 and -36\/5.\nAnswer: 18001440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 4 - 3, 31*v + 5*m - 214 = 2*m for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(((m*m*(((m*m**(-4))\/m)\/m)\/m)\/m)\/m)*(m*m**(-2)*m)\/m)**(2\/41)*(m**2*m)**2\/(m*m**1*m)**(-19) assuming m is positive.\nAnswer: m**(2597\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 231 and 1418725.\nAnswer: 4256175","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.04958 times -66?\nAnswer: 3.27228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4 = 9. Let o = -3 - z. What is the units digit of (28 + o)*(-1)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -2\/7, 4\/9, -4\/55?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550)\/(sqrt(360)*6)*-5)\/(sqrt(110)\/sqrt(360) - sqrt(275)*2))**2.\nAnswer: 125\/125316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (11 - 23) - (18 + -2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - -41. What is the remainder when 18 is divided by 6\/15 + p\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2\/7, 14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**1*p*p)\/(p*p**(-3\/7)\/p*p))\/(p\/(p*p**0\/p*p)*p)**(-36) assuming p is positive.\nAnswer: p**(276\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 112 - 22575?\nAnswer: -22463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {p: 7, r: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.002\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 7*l**5\/30 + 5*l**3\/6 + 11*l**2\/2 + 10. Let f(y) be the second derivative of t(y). Differentiate f(b) wrt b.\nAnswer: 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 13*f + 63. Let o be (5 + 35\/f)*2334. Suppose 3*g + j - o = 0, 5*g - j - 2*j = 5835. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -71. Calculate the remainder when g is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i - 6*i - 98. Is i at most as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 139337849 and 399.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 211211 (base 3) to base 9\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*v**3 - v**2 + 5*v + 39527?\nAnswer: 63*v**2 - 2*v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 11) to base 6\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6974*l**2 + 2557*l?\nAnswer: 13948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**4\/12 - c**2 - 3*c + 2. Let o(u) be the first derivative of b(u). What is the derivative of o(x) wrt x?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43666289*p*u**3*y**2 - 12901*p*u**3*y + 27*p*u**2*y - 10*u**3*y**2 - u**3*y - 21*u**3 wrt y?\nAnswer: -87332578*p*u**3 - 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 1. Let g(d) be the first derivative of -3 - 3*d + 1\/3*d**3 - d**2. What is g(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1640, 6546, 14710, 26120, 40764?\n\"Answer: -2*x**3 + 1641*x**2 - 3*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001012211 (base 3) to base 16.\nAnswer: 9d3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.3 (b) -88 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 110. Let l(k) = 192*k**2 - 459*k**2 + 280*k**2. Calculate l(u(g)).\nAnswer: 52*g**2 - 5720*g + 157300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/2 - 6\/3. Let f = 24 + -59. Let q = -20 - f. Solve -4*g = -4*l + 4, r*g + 3*l + q + 12 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06752 in -1, -4.26, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003174 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/546 and 1\/875.\nAnswer: 68250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1735\/7 - 247. Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 + 9 - 3*x - 1 - 2 + 13*x**2 - 8 + 3*x**3 to p*x**3 + q*x**2 + u + g*x and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r = 57 - 126 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4336 - -4499. Which is bigger: 165 or r?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 30 = 198. Let f = 338 - r. List the prime factors of f.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 3}. Give prob of picking 2 x.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 4*i - 75. Suppose -95*t = -285*t + 1140. Calculate y(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = r - 0. Let x = r + 18. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**3 - 2*o**2 - o. Let k be w(-1). Let b(g) = 3*g + 3. Let q(c) = 5*c + 4. Let x(u) = k*q(u) + 8*b(u). Give x(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 9:57 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1469*i**3*z + 29*i**3 + 39*i**2*z + 1386*z wrt i.\nAnswer: 8814*z + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*r = -24, 18*p = 15*p - 4*r - 10. Solve p*z = 2*m + 16, -5*z = -m - 3*m - 36 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 24*j**5\/7 + 4316*j**4\/7 - 9432*j**3\/7 + 5820*j**2\/7 - 104*j = 0?\nAnswer: -182, 0, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 23. Let n(w) = 13*w. What is o(n(r))?\nAnswer: -26*r + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 130557202 to the power of 1\/2, to the nearest integer?\nAnswer: 11426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*-4 + 4. Suppose 0 = -k - k - j*v, 3*k - 4*v = 0. Let s(p) = -p**2 - 7. Calculate s(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 8805630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/8, 0, 3\/11, 2\/33?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**4\/24 + j**3\/2 + 11*j**2. Let c be r(-3). What is the hundreds digit of c*((-24)\/(-36) - (-116)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 614986547?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -5. Let w(o) = 2 + 0 + 16*o - h. Is w(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {h: 3, p: 4, w: 6, m: 1}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 - -54. Let j = -7 - g. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 4*o**2 + 5*o + 2. Let z be w(-5). Let x = -379 - -799\/2. Find the common denominator of z\/(-8)*124\/(-5) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 + -96. Let g = o - 97.3. Which is the smallest value? (a) 0.4 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u. Let k(r) = -16*r - 25. What is o(k(a))?\nAnswer: -80*a - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 8*q + 16. What are the prime factors of h(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c + 5 - 1 = 56. Let t(k) = 6*k**2 - 10*k + 7. Calculate t(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 194*m - 209*m. Which is the smallest value? (a) -0.06 (b) m (c) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*f - 15. Suppose -6*t = -4*t + u + f, 4*u = -2*t - 20. Put 0, t, 5, -10 in ascending order.\nAnswer: -10, t, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -569*r - 1313136 = -641*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2\/19, -6\/7, -1.3, 1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 1. Let h(i) = -3*i**2 - 3*i - 4. Determine h(c) + 4*u(c).\nAnswer: c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 82038b (base 14) to base 6\nAnswer: 233514223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -176 (b) 0.5 (c) -3\/5 (d) -34 (e) -0.5 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 15*f - 24. Let r(k) = -k**2 + 7*k + 11. Let o(u) = 3*q(u) + 7*r(u). Let l(n) = -n**2 + 3*n + 5. Calculate -6*l(h) + 5*o(h).\nAnswer: h**2 + 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -755, -2903, -6905, -12761, -20471?\nAnswer: -30035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-21)\/(-4)))\/(3\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2249*r - 35471 + 12837 - 14355 = 115943 for r.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3 + 2)*4. Let c be 11*1 + -7 + a. Suppose 3*o - 5*f - c = 0, 3*o - 3*f = -o + 7. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1731 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*r + 6, -2*r = -2*n - 0*r - 2. Let y(a) = a + 1. Let o(i) = i**2 + 2*i. Let l(t) = n*y(t) + o(t). Suppose -3*u + 0*u = 6. Determine l(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - -1.24. Let y = t + 3.06. Which is the closest to 1? (a) 1\/2 (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q**3 - q**2 + q. Let x be u(1). Let r = x + 17. Suppose d + r = 4*t - d, -5*d = 0. Solve -t*h + 10 + 0 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20151, -30781, -41399, -51999, -62575?\n\"Answer: k**3 - 10637*k - 9515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 3:36 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**19)\/(b\/(b*(b*b**(2\/3)\/b)\/b))*(b**(-2\/13))**(5\/7) assuming b is positive.\nAnswer: b**(5339\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46195 > 46183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5800 is divided by 1917.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33115 is divided by 134.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q**3 - 9*q + 4. Let g = -622 + 615. Let o(i) = 5*i**3 + 8*i - 4. What is g*o(t) - 6*p(t)?\nAnswer: t**3 - 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 79 + 673 = 0. Let d = -97 - x. Let b(y) = y**3 + 3*y**2 + 3*y + 1. Calculate b(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Let s be -1*(1 + (-2)\/2). Suppose 2*f + s*f = 0. Solve 2*g + l = -4, h = 3*g - f*l + 5*l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -38*u + 15. Let f be j(-4). Let q = f + -162. Solve 0 = -0*k - k + q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4 + 107*h**3 - h - 277 wrt h.\nAnswer: -12*h**2 + 642*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4499*i - 22 - 4499*i + 22 + 19*i**2.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42083 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: What is 665 minutes before 8:33 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -4\/7 (c) -0.0374 (d) 9\/124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*l - 4, t + 5*l - l - 2 = 0. Suppose -4*f - t*m - 78 = 0, -4*m - 51 = 3*f - m. Let q = f - -32. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-17969)\/(-42))\/(-17) - 42\/(-36). Let y(k) = 344*k. Let m(r) = -69*r. Calculate n*m(b) - 5*y(b).\nAnswer: -64*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtmvm. What is prob of picking 1 v and 2 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from ixbniiiix.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 22*j**3 + 3*j**3 - 596*j**2 + 595*j**2 in the form w + x*j**2 + s*j + n*j**3 and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 25*a + 1310. Calculate the least common multiple of l(-15) and 12.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10524584510 and -4?\nAnswer: 10524584514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/7 - 42*x + 855\/7.\nAnswer: 3*(x - 95)*(x - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 h when four letters picked without replacement from hihyeehyihyeeeehhei.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7720 and 4110900.\nAnswer: 8221800","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1238848*b**2. Let k(i) = -2*i. Calculate z(k(t)).\nAnswer: -4955392*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 154496845 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: Let k = -0.02 - 1.88. Let y = 1.96 + k. Let c = y + -0.06056. What is c rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (-17)\/2) + (-33)\/22. Let u = 7 + -1. Solve -3*s + 4*y = -x, 3*s + 3*y - 2*y = u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 + 9*g. Let u(k) = -9*k**2 - 17*k - 1. Let m(s) = 7*o(s) + 3*u(s). Let z be m(-6). Calculate the common denominator of -23\/5 and 60\/8*z\/36.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 10335.\nAnswer: 186030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -15*h - 33. Let o(s) = 7*s + 16. Let b(m) = 13*o(m) + 6*t(m). What is b(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2811, 11307, 25467, 45291?\nAnswer: 70779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78 + 129 + f**4 - 69 - 4*f**4 wrt f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1118*w + 1043*w - 225 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2571848*x + 49*x**2 - 3*x**2 - 2571835*x)*(2*x - x + 0*x) in the form p*x**3 + z + q*x + l*x**2 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -22118.926.\nAnswer: 110594.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 149166.8421 rounded to the nearest 10?\nAnswer: 149170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2296*v - 459*v + 52*v + 1934*v to the form h*v + o and give h.\nAnswer: 3823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 31. Let y be r(9). Suppose a + 622 = 2*h - y*a, 5*h - 1513 = 2*a. Suppose 3*p + u = h + 108, -p - u = -139. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3136\/41 != 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e427 - -9b?\nAnswer: 1e4c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/7, 5, -0.05 in descending order.\nAnswer: 5, -0.05, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 29*o - 34*o = -15, 4*o = -3*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 84*u - 263. Let m be c(3). Let k be ((-6)\/9)\/(1\/(-15)). Sort k, -1, 2, m in descending order.\nAnswer: k, 2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*h**5 + 19*h**3*n**2 - 2*h**3*n + 66*h**2 + 13*n**2 wrt h.\nAnswer: -960*h**2 + 114*n**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 139*a - 4014. Let v be l(41). Let 4\/19*z + 6\/19*z**3 + 0 - 2\/19*z**5 + 2\/19*z**v - 10\/19*z**2 = 0. Calculate z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 53 (b) 0.37 (c) 1\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -192689?\nAnswer: 192677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3605383662?\nAnswer: 2, 3, 3733, 160969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/((q\/(q\/(((q\/(q\/(q**(-3\/2)\/q)))\/q)\/q)*q))\/q))\/(q*q*q**(-7)*q*q\/((q*q*(q*q**(-7))\/q*q)\/q)) assuming q is positive.\nAnswer: q**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -32 (b) 0.05 (c) 102 (d) 0.055 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1017*a = 1014*a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -45823 and 3.296?\nAnswer: 45826.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 4, -2553, 2, 5 in ascending order.\nAnswer: -2553, -12, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 81 + -2?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*m**2 + 167*m**2 + 5*m - 58*m**2 - 5*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 454*r**2 + 7*r - 334. Does 56 divide s(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-63858)\/(-108))\/(-29) - -13 and -113\/42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2) - 3\/(-2). Suppose -5*g + f*g = -20. Solve -2*r = 2*t + 8, g*r - 5*t = -12 - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.1, 10\/21231, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r = -27*r - 6. Which is the closest to -1\/2? (a) -0.1 (b) 2\/15 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -31570?\nAnswer: 31564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146294.\nAnswer: 2, 3, 43, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -151488539 at most as big as -151488540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -663, -2242, -4965, -8904, -14131, -20718, -28737?\nAnswer: -38260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 0 - 1\/6*a**3 + 33*a + 2*a**2. Calculate v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/2 - 20673*q\/2 + 41338 = 0. What is q?\nAnswer: 4, 20669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/y**(1\/4)))\/((y*y*(y\/(y**(3\/2)\/y))\/y)\/y)*y**(-2\/19)*y\/(((y*y**8)\/y)\/y) assuming y is positive.\nAnswer: y**(-407\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (86 - 98) + -1 + -12?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/3 - 9991*r\/3 - 673886\/3 = 0.\nAnswer: -67, 10058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = -2*u - 4*r, 5*u - 8 = -3*r. Which is smaller: u or -4\/15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 785*g**2 + 31*g + 7. Is y(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7002009 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1612*a*q**3 + a*q**2 - 17*a - 2*q**2 wrt q.\nAnswer: -9672*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2202 by -1.\nAnswer: -2202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1302342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 126 = k + 124, 0 = -k - u + 5. Solve -4*b - k*i = -20, i = -5*b + 5*i - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**5\/3 - 2267*w**4\/3 + 9101*w**3 - 102505*w**2\/3 + 113950*w\/3 = 0.\nAnswer: -2279, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 17*f + 45. Let b be u(3). Suppose b*o = -3, -362 = -5*l - 2*o + 4*o. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - (-4*-5*sqrt(2736))**2)*-5.\nAnswer: -60*sqrt(19) + 5472000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 865054 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56105 and 259629895?\nAnswer: 8015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 18\/8 - -2. Let q = -5.01 - -0.01. Let a = -3 - q. Sort a, -0.3, c.\nAnswer: -0.3, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 698 + -696. Is 2\/1349 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2823 - -976. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*a - 20, -2*g + 0*g + 40 = -4*a. Suppose -g*t + 2 = -11*t. What is the common denominator of (39\/t)\/(33\/7) and 85\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5689*v - 8952*v + 8424*v in the form p*v + t and give p.\nAnswer: -6217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from {a: 9, b: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 40. Let f = 0.27 - 5.27. Which is the nearest to r? (a) 0.5 (b) f (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 54535500 - 0?\nAnswer: 54535500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/(-4) - (9 + -4). Let g = -6\/11 - -41\/55. What is the second smallest value in g, -1\/4, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5.37 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24294558*w + 473668621 with respect to w.\nAnswer: 24294558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/(-38)*(-12)\/45?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -178*d*v**2 + 134420*d*v - 24*d - v**2 + 129982 wrt v?\nAnswer: -356*d*v + 134420*d - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103114 and 172?\nAnswer: 206228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.856 and -0.2?\nAnswer: 0.3712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 15405 = -r, -2*b - 17*r + 11*r = -15426. What is the lowest common multiple of 40 and b?\nAnswer: 38520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 6 = x, 2*o - 4 = -2*x - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -62934 != -62927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2496*c = -2514*c + 270 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 7*c**2 - 13*c - 2. Let v be q(-4). Solve 4*w + 4 = -4*l, -4*l + w = -v*l + 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -186970 and 25479.1.\nAnswer: -161490.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + d + 2*d)*(-2 + 1 + 2)*(3 - 1 - 1 + (0 + 0 + 1)*(-4 + 5 + 0) + 2 + 0 + 0 + 1 - 1 + 3 - 1 + 2 + 1).\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16051 - 7479. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**8\/280 + m**7\/525 - m**6\/150 + m**2 - 3*m. Let d(f) be the first derivative of c(f). What is j in d(j) = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020001212010 (base 3) to base 14\nAnswer: -12d2c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-3))*(((k*k**(-1\/3)*k)\/k)\/k)\/k)**21 assuming k is positive.\nAnswer: k**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-126)\/(-35) - 4\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -19*h - 5. Let t(q) = 38*q + 10. Let p(s) = 14*b(s) + 6*t(s). List the prime factors of p(-4).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/4)\/(((-75)\/10)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from eeereeee?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -313 divided by 5?\nAnswer: -313\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/13098995 and 83\/78593970.\nAnswer: 78593970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.5, -3.1, 2167?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 - -100. Suppose b + 85 = -u. Let d = -172 + u. What is d rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**(-4\/13)*(r*r**(-2\/9)*r)**(-13\/3) assuming r is positive.\nAnswer: r**(-2488\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*q**4 + 6*q**2 - 175 wrt q.\nAnswer: -64*q**3 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 12*m**2 - m + 1. Let u be p(12). Which is smaller: -9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*g, -g = -u - 5*g - 54595. Let l = u + 21245. Let j = 19434 + l. What is j rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/(-810)*-6*3.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -214 + 214 - 59*v in the form s + c*v and give c.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006387574 to 7 dps.\nAnswer: 0.0000639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 0*q - q)*(-4*q + q + 2*q) + 312*q**2 - 201*q**2 - 175*q**2 + 1 - 3*q**2 - 1.\nAnswer: -68*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*v**5 - 32*v**2 + 13*v**2 + 0*v**5 wrt v.\nAnswer: 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16892941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/4*(-1)\/(-3)*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*3\/(-9)*-6. Suppose -22 + m = -2*u. Solve 50 = 3*t - 5*c + 18, -u*t + 5*c = -40 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 11:44 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 32a9b?\nAnswer: 32a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 7:56 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-7 - 3)) + -3 - 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*b - t - 16 + 13, 0 = 2*t - 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -382 - -420 - (23 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1216*j + 4058*j + 1431*j.\nAnswer: 4273*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -28*h - 20. Let t(g) = 13*g + 11. Let b(s) = -4*q(s) - 9*t(s). Give b(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.35. Let h = -0.05 - s. What is the closest to -1 in -1, h, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 34632420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - c - 14. Calculate g(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -14*d**3\/3 + 7*d**2 - 14*d - 3. Let g be p(10). What is the tens digit of 8\/6 + g\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 10366590.\nAnswer: 31099770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l + 30 = 0. Suppose -2*g = 3*g + l. Let c be g\/(-2) + 8\/2. Solve -c*o + 0 = 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19754 + -8?\nAnswer: 1974b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 + 891\/33 + 47?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1348 + -1068. Let p = -216 + o. What is the remainder when p is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 3*g. Suppose 5*f + 5*t + 40 = 0, 0*f - 5*f - 4*t - 35 = 0. Determine j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/(12\/(-136)). Let p = -46 + 76. Let k = p - h. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/18)\/(-5)*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*c = 10. Suppose 3*t = -0*t + 4*u + 41, 3*u + 50 = c*t. Suppose -t = -f + 5. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -1 (b) 0.1 (c) 1\/4 (d) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96676, 193357, 290040, 386725?\nAnswer: 483412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44413?\nAnswer: 23, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17750581487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1\/7)*z)*z*z\/(z\/z**(4\/7)))**(-7\/5) assuming z is positive.\nAnswer: z**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32440141.\nAnswer: 1663, 19507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -26*n**3 - 8*n**2 + 4*n - 12. Give j(2).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -679492 divided by -15443\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1650 + 11740 = 267*l + 841 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**3 - 28*w**4 - 2*w**3 + 1790*w**2 - 1645*w**2 - 8*w**4 + 7*w**4 wrt w?\nAnswer: -696*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9645, 16077, 26791, 41781, 61041, 84565?\nAnswer: 112347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4210.424 days in nanoseconds?\nAnswer: 363780633600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/1539 and 20\/1881.\nAnswer: 16929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -18, 62 in decreasing order.\nAnswer: 62, 5, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*y**3 + 319*y**3 + 9957 - 9957.\nAnswer: 99*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*s + t, 8 - 1 = -3*s + t. Sort 99, -4, s in decreasing order.\nAnswer: 99, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4064733 and 21.\nAnswer: 28453131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y + 1409 = 499. Is 6\/7 - 360365\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -38*s**3 - 13 + 7*s**2 - 11*s - 3*s**2 + 40*s**3. Let x(h) = -h**3 - 2*h**2 + 5*h + 6. Determine 6*l(c) + 13*x(c).\nAnswer: -c**3 - 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 5*p**2 + 3*p + 4. Let y be h(4). Suppose o - 1 - 2 = y. Suppose -2*k**4 + 5*k**5 + 3*k**o - 2*k**3 - 4*k**5 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 113 = 38. Suppose u*q - 1882 = -2*v, -q + 357 + 270 = v. List the prime factors of q.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945148331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 739b + 3?\nAnswer: 73a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 789853\/203 or 3892?\nAnswer: 3892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.847 + 9.9. Let s = 0.0529903 - l. Round s to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-56))\/((-18)\/40)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-3 + 0 + -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l + 0 + 1 - 1. Let g be c(3). Suppose -4*z = -58 - g. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 3*w**2 + 3*w + 1. Let n be u(-2). Let p be ((-6)\/9 - 1)\/((-3)\/18). Suppose 23 = p*k - 7. Solve 0 = -k*o - c - 14 + 2, 0 = 5*c - n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1121 + -1077 + (-40 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 0. Let o be ((69\/8)\/1)\/((-54)\/396). Let x = 63 + o. Which is the nearest to x? (a) -1 (b) u (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -140743 or -1551?\nAnswer: -140743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 11:58 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/21 - (-54 - -52))\/2.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 11*m + 16. Let b be c(12). Let p be (-4)\/b + (-1 - -20). Suppose 2*d - p = -4*l, 4*d + d + 15 = 0. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + (-5)\/(-8). Let g = -2 - -6. Sort g, j, -0.2.\nAnswer: -0.2, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 44.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -28 + 9 - -11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/9*(-10)\/(-8).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 2959.15187?\nAnswer: -2959.05187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.8 - 16. Let d be 16\/18 - 6\/27. Which is the third biggest value? (a) d (b) 1\/8 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 0*t - 1\/5*t**5 - 2*t**2 - 5\/4*t**4 - 8\/3*t**3 + 16. Factor s(z).\nAnswer: -z*(z + 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 5*u - 6, 84*o - 162*o + 77*o - 3*u = 6 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 13303670*h + 26607320.\nAnswer: 5*(h - 2660732)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7600\/76000 + 6\/(-280)*-2 - 559\/(-7)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73075830?\nAnswer: 2, 3, 5, 23, 105907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y. Let m(d) = 0*d + 4*d - 26 + 101 - 31 - 30. Give m(f(q)).\nAnswer: 36*q + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(112) + -1 + sqrt(112))*-5)**2.\nAnswer: -400*sqrt(7) + 11228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ppjjjpsjtpspjsypty.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 2. Let t be -11 + b - (5 - 1). Factor 4\/7 + 4\/7*h**t + 10\/7*h.\nAnswer: 2*(h + 2)*(2*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 497406 and 3695016.\nAnswer: 25865112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(2\/7)))**(-30))**(1\/17))**26 assuming c is positive.\nAnswer: c**(1560\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 3*q**2 + 4*q + 1. Let i be t(-4). Let p = 4 - i. Suppose 2*a - 24 = -3*d, a + a = p*d. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19159 <= -20285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 8*l**2 - 12*l + 21. Let q be a(-9). Suppose q = 5*k + 68. Find the common denominator of -92\/15 and (k\/14)\/(-1 - 5453\/(-5537)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -18.2. Let b = 7.7 - -7.3. Let m = u + b. What is the second biggest value in 4, 0.07, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -322, -951, -2008, -3499, -5430, -7807, -10636, -13923?\n\"Answer: -r**3 - 208*r**2 + 2*r - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/14)*(z\/(z**(2\/7)\/z*z))\/z)\/(z**(-1\/28)*z\/(z\/((z*z**(-4\/7))\/z))) assuming z is positive.\nAnswer: z**(11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -5 (c) 7\/2 (d) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 - 2 - (-321 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-245)\/49*((-18)\/(-26) - 1). Do 3 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(2*h - 4 + 4 + h - 2*h + 3*h + (0 + 0 + h)*(4 - 1 - 2) - h + 2*h - 2*h + 9*h - 25*h - 43*h).\nAnswer: -55*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 111202?\nAnswer: 111211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruu when three letters picked without replacement from {k: 2, b: 1, u: 1, l: 2, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80304.\nAnswer: 2, 3, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 30, 23, 1.2 in increasing order.\nAnswer: 0.1, 1.2, 23, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 42706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/68*(-248)\/558)\/(((-112)\/9)\/4)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 64*x**2 - 938*x - 379. Determine k(41).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k**2. Let l(w) = -6*w - 16. Let j be -1 + 3 + -1*5. Let p be (-5 + 1)*(-12)\/j. Let m(b) = -2*b - 5. Let i(f) = p*m(f) + 5*l(f). What is i(c(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 10)*(u**2 - 3*u**2 + u**2) - 5*u**2 + 3*u**2 + 0*u**2 to the form w + o*u + y*u**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2*s = -4, -4*t - 24*s - 19*s + 26 = 29*s - 70*s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**2\/2 - 7311. Let j(g) = 131*g - 7. What is u(j(d))?\nAnswer: -131*d + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**5\/4 - 5*j**4\/4 + 431*j**3\/3 + j**2\/2 - 1690*j. Find the second derivative of v(l) wrt l.\nAnswer: -30*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (16 + -5 + (0 - -6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c + 3*s = -47, 0 = 5*c - 4*s + 54. Let v = c - -10. Solve 4*m - 6*m = v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 1 + (-3)\/(-1). Suppose 10 = v*w + 2*m - 29, -12 = 4*m. Calculate the greatest common divisor of 150 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/(w*w**(-1)))\/w)**(-45)*w*w**(2\/11)*w\/(w*w**11) assuming w is positive.\nAnswer: w**(-603\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 104714557 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1527 or -1.2?\nAnswer: 1527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3664393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 4*z - 132*o + 135*o, 0 = 3*z - 2*o - 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6853 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {t: 5, s: 5, z: 1, p: 9}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 3*x = -22. Is -2 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**5\/17 - 406550*f**4\/17 + 8536962*f**3\/17 - 59757362*f**2\/17 + 139432244*f\/17 = 0.\nAnswer: 0, 7, 203254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 6*p**2 - 4*p - 26. Determine a(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707134?\nAnswer: 2, 353567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40778, -81464, -122150, -162836, -203522, -244208?\n\"Answer: -40686*w - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 46*v**2 + 31*v - 760. Give n(-47).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 38. Let y = -16 + u. Let d = -8.4 + y. Which is the closest to d? (a) -2\/13 (b) -3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 + 220202?\nAnswer: 221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-16))\/((y*y**(-4\/3))\/y)*y\/(y\/(y*y**(-13))*y*y)*y\/(y\/y**10) assuming y is positive.\nAnswer: y**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgcg when four letters picked without replacement from gcwgm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 518076473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1906*f**2 - 24 + 716*f - 215 + 1909*f**2.\nAnswer: (f + 239)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6660021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2390 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 48*s + 17. Calculate the remainder when y(1) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1001*v - 3519*v + 997*v - 6 + 19 + 1520*v.\nAnswer: -v + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/59 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -416, -5, 2, 1, -2, -19 in ascending order.\nAnswer: -416, -19, -5, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 1)\/(-8 - -1). Let x = 0.7 + -3.7. Let r = x + 5. What is the smallest value in f, r, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -466 - -1865\/4. Let x = -9 - -6. Let l(z) = -z**2 - 6*z - 5. Let q be l(-5). What is the closest to q in d, -0.5, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-52)\/(-130) - 4\/10. Suppose f = 4*r - 36*r + 23648. List the prime factors of r.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121517.\nAnswer: 11, 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -14. Let r be ((-8)\/k*2)\/((-1)\/(-15)). Let p = r - -35. Which is the closest to 0? (a) -3 (b) p (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 863658032749 and -3.\nAnswer: 863658032746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23424 (base 9) in base 7?\nAnswer: 63433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k + 3. Suppose -2*r = -3*t + 13, 4*r + 21 = r + 3*t. Let v be i(r). Suppose 229 = 5*h - v. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7860?\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 0.0635?\nAnswer: 0.3635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -15 - (1248 - 1260)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40.7 - -41. Suppose 0 = 4*x - 5*c + 117, -3*x - 66 = -x - 4*c. Let r = x - -112\/5. Sort r, o, -4\/5.\nAnswer: -4\/5, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**3 + 298472651*j*y**2 + 139596*y**2 - 3468*y wrt j?\nAnswer: -3*j**2 + 298472651*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 20 = r. Let o be (-3*1)\/(5\/70*2). Let h = r - o. Solve -h*j + 4*j = -2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 38 = 9*n. Is 17 a factor of (-38)\/n*-2 + 10 + -11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7ba62 (base 16) to base 2\nAnswer: -1111011101001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20001172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/5 - 92*d\/5 = 0. Calculate d.\nAnswer: -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w + 3*w)*(-4*w + 7*w + 6*w)*(0*w**2 + w**2 - 3*w**2).\nAnswer: -54*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61369438, 122738876, 184108314, 245477752?\n\"Answer: 61369438*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-6) + -2)*72\/16.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a microgram in nanograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**(4\/7))\/z)\/z*(z*z**(3\/8)*z)\/z assuming z is positive.\nAnswer: z**(109\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 + -87. Suppose 0 = d - k - 9. Suppose -d*t + 33*t = -4958. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -20, -42, -72, -110?\n\"Answer: -4*s**2 - 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + -6*(sqrt(187) - -2*sqrt(187)) - sqrt(187)) + (sqrt(187) - (sqrt(187) - (sqrt(187)*2 - sqrt(187))))*1)\/(3*(sqrt(275) + 3*sqrt(275))*-3).\nAnswer: 17*sqrt(17)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 5. What is the units digit of 5 - 2 - 21\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f + 0*f - 3*f - 2*f + 5*f - f + (3*f - 3*f + 6*f)*(2 + 4 - 4) - 2*f + 4*f - f + (-2 + 2 + f)*(-3 + 6 - 2).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -6*a - 208. Let w = a + 58. What is the first derivative of u**4 + w + 9 - 29*u**4 wrt u?\nAnswer: -112*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/120)\/(-45*85\/(-1377)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {x: 1, f: 4, a: 3, n: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (109 + j - 22 - 18)*(1 - 4 + 2) to the form l + s*j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -14. Let c = 406 + -404. Solve -b + c = d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102840.36847 + 102841. Let p = f - 0.63. Round p to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (-3151)\/(-138) - (-9)\/2*1?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 69575359734\nAnswer: 69575359726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 272 + -450. Let i = 179 + m. Solve 0 = -2*h + h - i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*s = -152, -5*r + 6*r - 3*s = 148. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10914907?\nAnswer: 10914907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 3. Let d = 0 - p. What is the closest to 1 in d, -0.2, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 363 - 351. Factor h - 24*m**3 + 6*m**2 + 6*m**2 + 56*m**2 - 56*m.\nAnswer: -4*(m - 1)*(2*m - 3)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Suppose -u - n = 11. What is the common denominator of (6\/(-32))\/(u\/370) and -19\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c**2 - 16*c**2 + 475*c**3 - 2*c + 2 + c + 0*c + 8*c**2 in the form p*c + y*c**2 + d + x*c**3 and give x.\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 9*j - 14. Calculate w(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*(4 + sqrt(275) + 5)*-2.\nAnswer: 54 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -23*l**2. Let c = 22159 - 22156. Let f(s) = 22*s**2. Determine c*b(h) + 4*f(h).\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -7*r - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1463*f*i*s**3 + 326*f*i*s - f*s**3 - f - 2*i*s**3 + s wrt s.\nAnswer: -8778*f*i*s - 6*f*s - 12*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993 is divided by 165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -275139, -274987, -274837, -274689, -274543?\n\"Answer: -j**2 + 155*j - 275293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-576)\/(-12168)*-13*26\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**3\/3 + 18*s - 5. What are the prime factors of p(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.055505, 4 in decreasing order.\nAnswer: 4, 1\/5, 0.055505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26824, 46, -5, 18 in ascending order.\nAnswer: -5, 18, 46, 26824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9.8296 * 2221\nAnswer: 21831.5416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 805 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 4*q + 12.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 62*u**2 + 538*u - 213. Calculate k(10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 12) to base 6.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 10*q - 2. Let m be b(-8). What is the least common multiple of ((-6)\/(-9))\/((-4)\/m) and 0\/1 + 2 + 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 8*s**2 - 8*s - 6. Let j be n(-7). Let h(x) = -x - x + x + j. Let z be h(3). Which is greater: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 12*b**2 + 11*b + 16380. Let u be a(0). Round u to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.93628 nanometers in meters?\nAnswer: 0.00000005093628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 853*w**2 + 855*w**2 - 3402*w**2 + 847*w**2 + 845*w**2. Let l(x) = -10*x**2 + 4. Determine l(m(p)).\nAnswer: -40*p**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 825, 3 in decreasing order.\nAnswer: 825, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**1\/z*z)\/z)\/z)\/z)**(6\/11)*z\/z**(2\/7)*(z*(z\/((z\/(z*z**(3\/4)\/z*z))\/z*z))\/z)\/z*(z\/z**(-1)*z)**(7\/5)\/(z**6\/z**(-1\/9)) assuming z is positive.\nAnswer: z**(-21313\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + w - 4. Let b be z(-3). Suppose 0 = b*k + 1 + 47. Let y be ((-15)\/30)\/((-2)\/k). Sort -2, 1, y.\nAnswer: y, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12966*d**2*t - 249697*d**2 + 3781*t**2 + 758 with respect to t.\nAnswer: -12966*d**2 + 7562*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -7118.403 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*w**4 - 2*w**3 - 116*w**2.\nAnswer: 504*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 16 (c) 19.83 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -9) + (5 - 11) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -5\/3 (b) -2 (c) -0.3 (d) 1.13 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 - (22 + -7 + -3)) + (1 - -5).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:37 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 169.64.\nAnswer: -169.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -67. Let a be 8\/r - 44\/99. Suppose a = 3*d + 6*d - 2736. Calculate the greatest common divisor of d and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1301\/9 - -767563\/5310. What is the common denominator of u and -23\/590?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*k**2 + 117*k**2 - 41*k**3.\nAnswer: -41*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2463894 and -29\/6?\nAnswer: 2463894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-1 - -1 - (69 + -63))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2328 + -1?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 6259?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/7)\/((-2)\/(-7)). Suppose 6 = 2*i - f. Suppose y + i*n = 2, n + 11 + 1 = y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*t + 80, 3*h - 4*h - 2*t = -23. Solve -6*r - 52 = -h*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526 = 11*f - 427 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-238)\/84 - (-55)\/22.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 10. Let d = 10 + g. Which is smaller: 11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**3 - 23145*t**2 + 558140*t - 1023660 = 0.\nAnswer: -4653, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.951 + -1.051. Are 0.04 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14 + 6)\/(2\/(-44)*-4). What is the greatest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o\/((o*o**(1\/9)*o)\/o)))\/o))\/o)**(-3\/14)*o*o*o**(4\/11)*o*o*o*o*o*o*((o*o\/(o**(3\/2)*o))\/o)\/o assuming o is positive.\nAnswer: o**(1360\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2\/9 (c) 2\/11 (d) -19 (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r - 2. Let w = 0 + -2. Let q be u(w). What is the highest common divisor of q and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3*u - 412 = -2*n, 4*u = -2*n + 416. Suppose 0*p + n = 2*p. Is 27 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-133))\/(1*(-3)\/6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from mnacd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2262 + 1363 - 1636 = 127*i + 3053 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**4\/4 - 2*r**3\/3 + 2*r + 9. Suppose -7 - 3 = 5*m. List the prime factors of n(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 20 + 49)*(-5*i + 3*i + 3*i) + 56*i + 397 - 397.\nAnswer: 157*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2 - 2 = 0. Let f be 3\/2*4 + z. Suppose f = 3*v - 10. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -1 + 0 + 6. Let d = -8 + j. Let b(s) = 0 + d + s + 1. Let c(i) = i**2 - 6*i - 5. Give -5*b(l) - c(l).\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*j = 214*j - 253 - 1691 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 - -119. Suppose 3 + 7 = s*j, -f = 3*j - 10. Suppose -4*w = 2*w - f*w. Solve w = -2*i - 6 - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19\/5560 + 10949\/50040. Find u, given that g*u**3 + 4\/3*u**2 + 0 + 0*u = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**2 - 5*p - 2*p**2 + 3 - 6. Let x be u(-3). Suppose 0 = -3*a - 3 + x. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3162 - 1870 = 629*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 6*z**2 + 7. Let f be i(-6). Let l be 2\/f + 5\/7. Suppose 30 = 3*v + 3*d, 4*d + 7 = -l. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0362 and 3883.\nAnswer: -140.5646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11448 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 928*f - 926*f - 24 = -4*h, -9*h + 33 = f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-4 + -3)*(4 + 54\/(-14))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.412 plus -1?\nAnswer: -7.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**2 + 6*u + 5. What is the tens digit of i(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Let z be (-2 + 2)\/(3 - 1). Suppose -41*x - 142*x = 112*x. Solve x = -q - t, -b - 2*q - 3 = -z*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 4*i + 4*i)*(2*i**3 + 4*i**3 - 4*i**3)*(1 - 1 - 4*i)*(1 - 2 - 1).\nAnswer: -80*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 3. Let t(x) = -3*x**2 + 5. Suppose -4*r + 30 = -2*o, 30 = -o - 2*o + 3*r. Calculate o*c(p) - 3*t(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*j + 5755, -341 = -3*z + 2*j + 5406. What are the prime factors of z?\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -30*z**2. Let g be (4 + (-9 - -6))*7. Let u(m) = 2*m + g*m - 3*m - 2*m. What is h(u(l))?\nAnswer: -480*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 34*s**2 - 21*s + 181. Give c(-35).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121 (base 3) in base 5?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 493 and 1064909.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-92 - -26) + 48 + 35\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102628 + 30349 = 13*r. Let l = r + 3342. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 3:15 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -i + 3*k, 2*k = -2*i - 2*i - 8. What is the closest to 2 in i, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -99, 5, 3, 1 in decreasing order.\nAnswer: 5, 3, 1, -3, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3690 divided by 5\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 + 5 + 0*l**2 - 5. Let i = -3 + 9. Let y(z) = i - 6 - z. Give w(y(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 - k**3 + 0 - 2 + (3*k + 3 - 3)*(-2*k**2 + 2*k**2 - k**2) + 5*k - 5*k + k**3.\nAnswer: -5*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 minutes before 6:54 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sum -0.12 and -13818.\nAnswer: -13818.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((1 + sqrt(13) + sqrt(13))*-3*2)**2 + -6*((sqrt(13) + sqrt(52)\/sqrt(4))*4 + sqrt(13))*-5)*-1.\nAnswer: -1905 - 414*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1319 - -1319. Which is bigger: w or -7\/100?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 20. Suppose 2*i - n*j - 119 = -0*j, 5*i - 278 = j. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115186802327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or 23?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 4:37 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*j*r*t - 905*j*t**2 - 2700*r*t**2 + 30*t**2 with respect to r.\nAnswer: 25*j*t - 2700*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -41. Is k bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 29*f**2 + 15*f + 17. Calculate m(14).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 6. Let k be f(3). Suppose -k*n + 4*j = 7, -3*n + 0*j - 21 = 3*j. Which is the second biggest value? (a) n (b) 2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - h - 1. Let s be (-14)\/21 + 5\/3. Let x(a) = a**2. Give s*l(z) - x(z).\nAnswer: -2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161879 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyssosssyl. Give prob of picking 1 s and 1 l.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -34*w + 1989. Calculate l(61).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 55ad5a?\nAnswer: -55ad5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449031947 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = t + c, -c + 397 = -4*t + 113. Let h be (t\/(-30))\/((-6)\/(-20)) - 2. Let s be 15\/(-1 + h)*1. Solve 2*y - 5*y = s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/((-2)\/(-6)*-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1997*c**2 - 2*c + 2*c - 772*c**2 + 5275*c**2.\nAnswer: 2506*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390\/(-26) - -6516 - 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -11*i + 20. Solve 21 = j - i*j - 2*s, 4*s = 5*j + 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 - 6*a**2 + 4*a - 3. Let i(f) = 3*f**3 + 7*f**2 - 5*f + 4. Give 4*i(l) + 5*j(l).\nAnswer: -3*l**3 - 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1956, -1960, -1966, -1974?\nAnswer: -1984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*h - 2 = 0, -y + 4*h - h = -14. Suppose -2*k + y*m + 8 = 0, 0*m - 2*m = -4*k + 14. Suppose 4*f - 51 = k*f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.5 - -67. Let g = -60 + r. Let z = -0.1 + 0.2. Which is the second biggest value? (a) -3 (b) g (c) z (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -3.77.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3) + 3 + (sqrt(5)*-2 + sqrt(5))**2*4.\nAnswer: sqrt(5) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 + 2*x**2 - 197 + 4*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*w = -9, x - 80*w + 84*w + 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, -2, 0.08, 4\/9, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 35. Let g be s(6). Suppose 3*j - 1 = g. Solve 26 = 2*u - 4*i, i - 24 = -j*u + 2*i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**4 + 13*a**2 - 13*a**2 - a**4 + 3*a**4 + 0*a**4 + (2*a**4 - 2*a**4 + 2*a**4)*(-1 + 0 - 1).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 221\/6 - 1117\/30. Which is the biggest value? (a) -147 (b) 2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 2481 = 63. Let n = 2121\/10 - d. Sort 0, n, 5 in decreasing order.\nAnswer: 5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 75\/4 (b) -2\/33 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13090)\/(-1190) - ((-36)\/(-5) + 3).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 248 and 372?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*0.6.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3 - 5 = 0. Suppose -2*m - 14 = -u, u - m = g + 9. Let c(v) = -v**2 + 4*v + 5. Give c(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -4. Let m(x) = -x + 4*x**2 - 1 + 2 - x - 2*x + x**p. Let l(w) = -2*w**3 - 19*w**2 - 39*w + 13. Let s be l(-6). Calculate m(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 41*w - 305. What is a(32)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 10\/3*j**3 - 1\/2*j**5 - 10*j**2 + 3 + 5\/4*j**4 - 33*j - 1\/6*j**6. Factor x(n).\nAnswer: -5*(n - 1)**2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -1. Suppose -d = i - 2. Let t(j) = j**3 - 8*j**2 - 7*j - 8. Calculate the least common multiple of i and t(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/30 and -109\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**3 - 8837*q**2 - 1165710*q = 0.\nAnswer: -130, 0, 8967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l**2 + 2. Let x(t) = 25*t + 1452. Let h be x(-58). Let o(p) = 3*p**3 + 2*p**2 + p + 7. Give h*o(r) - 7*j(r).\nAnswer: -r**3 - 3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 15*u**2 - 31*u - 31. What is l(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 0 + 3*o + 10*o - 3 + 1. What is the tens digit of p(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6*4833\/(-7160)*(-16)\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5663 is divided by 183.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 7\/6, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 11*r - 92. Let k be c(9). What is the greatest common divisor of k and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1\/4, -1\/8, -131 in descending order.\nAnswer: 2\/7, -1\/8, -1\/4, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -354 + 78. Suppose -4*o = -3*v + 15, -5*v - 5*o + 459 = 434. What is the hundreds digit of w*(v + -7) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467453148 divided by 6?\nAnswer: 77908858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + 3*(0 + -1 + sqrt(1700) + sqrt(1700))*-3)**2.\nAnswer: -2880*sqrt(17) + 550864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2422.02492 - 2422. What is f rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3. Suppose t = -4*m - m + 20. Let d(r) = -r**3 - 6*r**2 + r + 7. Let p be d(-6). Solve 5*l = p + m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22012122 + 2?\nAnswer: 22012130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4381 - -7150. What is the highest common factor of j and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 255245321*d**3 - 118485828*d wrt d?\nAnswer: 1531471926*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 197564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -33*i + 18. List the prime factors of v(-9).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 4*y - 4*i - 274, 314 = 2*y - 3*i. Calculate the greatest common divisor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 4:42 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - i + 1. Let r be u(2). Let s be (r\/(-6))\/(14\/(-4)). Which is the closest to 0? (a) -0.4 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82682\/11 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 18 = -3*u, -40*z + 35*z = 4*u + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29865, -30058, -30379, -30828, -31405?\nAnswer: -32110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 + 6 = 0. Suppose -y + s*y = 16. Suppose -2*u + 2 = -y, -4*u = -3*f. Solve f = -z - 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**5\/2 + 9*w**4\/2 - 27*w**3\/2 - 93*w**2\/2 + 54 = 0. Calculate w.\nAnswer: -3, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 147 = 2*n + 5*c, 5*c - 219 = -4*n. Let g = n - 41. Let w = 30 - g. What is the greatest common factor of w and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13138673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -552196*a**3*r**2*y + 14552*a**3*r**2 - 16*a**3*r*y - 2*a**3*r - 12*a**2*r**2 + a*r**2 - 2*a*r - 1 wrt y?\nAnswer: -552196*a**3*r**2 - 16*a**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**2 + 7*m + 11. Let o be a(12). Let d = o - 1814. Let q = d + 2266. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 638020 and 13800?\nAnswer: 19140600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 60 in decreasing order.\nAnswer: 60, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*3\/12*3\/(144\/(-128)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 22, -0.4, 7, 5, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/24 + (-9381)\/21240)\/(24\/(-15)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 6*g - 8*g + g**2 - 5 in the form l + x*g + v*g**2 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, -0.18, -6, 348, -3 in descending order.\nAnswer: 348, 1\/13, -0.18, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = 2*l + 11*l - 28 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-12)*(7 + (-53)\/9)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - c**2 - c + 1. Suppose 0*d = -5*i + 5*d + 10, 0 = -2*i - 4*d + 4. Suppose 162 = -i*t + 56. Let z = t - -55. What is w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + 3*(sqrt(32) - 2*sqrt(32)) + -4 + -3*sqrt(512))**2*-5*2.\nAnswer: -144080 - 4800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, j: 1, n: 1, w: 3, t: 1, z: 6}. What is prob of picking 1 d and 2 z?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.03, 0.01, -0.01, 0.3, -2.7?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 27.1. Let r = -0.04 - 0.16. What is the nearest to r in 2, 5\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(2\/2*(-120)\/16))\/((-74)\/5).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + 4.97. Let r be (30\/22)\/((-27)\/118). Let m = 52\/9 + r. What is the biggest value in -4, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 7, 2, -3, 1.\nAnswer: -7, -3, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 82\/7 (b) 22 (c) 3 (d) -0.2 (e) -161\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.221 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22005 and 99765?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 (base 8) in base 2?\nAnswer: 10111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2 and -113\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 6. Let q be l(-6). Let s = q + 7. Solve s + 2 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**4\/12 - 19*a**3\/6 + 3*a**2\/2 + 14*a. Let f be u(19). Solve -s = f*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2135 is divided by 274.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/6 - 13*c**3\/8 - 5*c**2\/8 - 8*c. Let q(k) = 0. What is k?\nAnswer: -1\/8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-897) - -1*4\/46.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 3*m + 1. Let y be k(-2). What is the units digit of (128\/y)\/(-4) + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1776\/30 - (-64)\/80. What is the greatest common factor of f and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 + (-2 - (0 + -1)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 46 = -2*y + 82, -q + 38 = 2*y. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 364 and 288925.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b. Let v(w) = -w**2 + 2*w. Let h(n) = 21*m(n) - 3*v(n). Find the second derivative of h(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -979, -5\/8, -2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 11*y + 1\/2*y**3 - 1\/12*y**4 + 7\/2*y**2 + 0. Calculate z(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 16*x**2 + 60*x - 23. Give p(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4 = -3*q, -3*q - 3*a + 10 = 2*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118 + 64. Let s = v + 329. Let a = s - 289.3. What is a rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 11 - 5 - (448\/24 + -13)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129850 is divided by 275.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2251763 to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 1\/1682710748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + 4*q**3 - 4*q**3 + 0*q**3 + q**3 + 0*q**3 + (-2*q**3 - 3*q**3 + 3*q**3)*(2 + 3 - 4) - 10 - 6*q**3 + 10.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7 + 11 - v - 22. Suppose -4*c - 3*o + 3 = 0, -5*c + 3 = -4*o + 7. Give f(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38582327\/332 - 116212. What is the common denominator of 95\/4 and a?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/18 and 139\/546.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(245)*-4*6*6 + 4*((1*sqrt(245)*2)**2 + 3) + -3.\nAnswer: -2016*sqrt(5) + 3929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 770168*o**3 - 710962*o wrt o?\nAnswer: 4621008*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4578*0.05069\nAnswer: 0.023205882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -30. Let u be k\/(-1 + -1) + -2. List the prime factors of ((-14)\/u)\/(3\/(-9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 806.3808 years?\nAnswer: 80.63808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4209 is divided by 178.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*f + s - 9, 2*s + 18 = 4*f. Suppose 0 = 2*n + f*n. Suppose 8 + n = 2*t + x, -2*t - 4 = 4*x. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3bc (base 16) to base 6\nAnswer: -4232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -61, -4 in decreasing order.\nAnswer: 4, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6552330443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808262.\nAnswer: 2, 7, 13, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -884.\nAnswer: 16\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 13*w - 9. Let i(p) = 2*p**2 + 16*p - 11. Determine 5*d(m) - 4*i(m).\nAnswer: 2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -709*v**3 + 196*v**3 - 258*v**3 + 1503*v**2 + 701*v**2 - 252*v**2 wrt v.\nAnswer: -4626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 35. Let s be (a + (-12372)\/(-6105))*(-29 - 0). Let x = s - -78\/55. Find the common denominator of x and 59\/10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/(180\/384)*5\/2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*i**3*t - 3*i**3 + 1169249*i**2 - 928515270*t wrt i?\nAnswer: 36*i**2*t - 9*i**2 + 2338498*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2130604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjjj when four letters picked without replacement from qqjjjjjj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 + -0.2. Let p = 1.2 + u. Let a = -1479\/10 - -148. What is the nearest to 1 in p, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**3 + 2*b + 1. Let l be o(-1). Let g be 17 + -43 - (-9 - -9). Is 8 a factor of ((-472)\/g - l) + 38\/(-247)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4 - ((-1)\/5)\/(56\/(-224))\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**4\/24 - r**3\/2 + 2*r**2. What is the units digit of k(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(15)\/sqrt(3)) + -3 + sqrt(50).\nAnswer: -3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 2*k**2 + 2*k - 4. What are the prime factors of h(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -0.1, -0.04, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h\/h**(2\/15))*h**(-2\/9)*h*h**(4\/7)*h**(5\/6)*h assuming h is positive.\nAnswer: h**(2719\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - (6 - (-1 + 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398269 - 398269 + 3*l - 4*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5 - 3*b**3 + 7*b**3 + 0*b**3 + 2*b**2 + 2 - 6*b - 6*b**4 + 2*b**2 = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 485 + 350 = 0 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/(((-2)\/12)\/(-1)). Solve -2*r = q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1877 + 1938. Calculate the remainder when 264 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -5 (b) 5 (c) -1 (d) 125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/4 and -71\/232659.\nAnswer: 930636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4\/7 - 180*h**3\/7 - 2392*h**2\/7 - 576*h.\nAnswer: 4*h*(h - 56)*(h + 2)*(h + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 4888\nAnswer: -1\/1222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.8 + 11. Let k = d + 6.8. Let t = -3.5 - -0.5. Which is the biggest value? (a) 2 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*q - 4 - 5, 20 = 4*q + 4*x. What is the highest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-26)\/(-8) - 2)\/(2\/8). Solve -16 = -4*a + 2*q, 4*q + 2 = -b*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - -720. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/3*(-815)\/(-978)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 6*g**2 - 6*g - 14. Is n(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -147*q + 7077 - 7088 + 141*q. What is h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -5*n**8\/336 + 5*n**7\/14 + 15*n**6\/8 - 225*n**5\/4 - 675*n**4 - 3240*n**3 + 2071*n**2. Factor t(h).\nAnswer: -5*(h - 12)**2*(h + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 535 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/48 - (-1 - 10\/(-8)). Suppose r = 2*m - 12*m + 440. Factor -20*o**2 - 25*o**3 - m + 2*o + 3*o + 44.\nAnswer: -5*o*(o + 1)*(5*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - -92. Let d = -246 + i. Let z = -19 - d. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14777689, 29555376, 44333063?\n\"Answer: 14777687*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iitt. Give prob of sequence ii.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 372, 1530, 3466, 6180, 9672, 13942, 18990?\n\"Answer: 389*h**2 - 9*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 8.\nAnswer: -4, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-21)*(-2)\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 21*b - 147. Let i be c(7). Suppose -r = 4*r. Suppose y + v + 0 - 2 = i, r = -5*v + 10. Let p(j) = j**3 + j**2 - 24. What is p(y)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1632 in 32, -7, -5?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (39\/6 - 8)\/(705\/(-94)). Let j = 0 + 2. Solve -3\/5*s**j + f*s**4 + 2\/5 + 1\/5*s**3 - 1\/5*s = 0 for s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/57 (b) 44 (c) 2\/49 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 15*q**2 + 33*q + 22. Let p be y(17). Suppose 1219 = 3*w + 3*f + 343, 1444 = p*w + f. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2386120 by -40.\nAnswer: 59653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - u**2 - u. Let z(o) = 7*o**3 + o**2 + 3*o + 1. Let h(f) = -4*c(f) - z(f). Let d be h(-1). Sort 2, d, -2 in decreasing order.\nAnswer: d, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2997*y - 14 = 2995*y - 4*t, 2*y - 4*t + 2 = 0. Factor -40\/7*s**2 + 52\/7*s**y - 2*s**4 + 0 - 16\/7*s.\nAnswer: -2*s*(s - 2)**2*(7*s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.365*-0.43\nAnswer: -0.58695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 446 + -442. Suppose -y - 2146020 = s*m, 0 = -4*y + 4*m - 7894264 - 689716. What is y rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2723 + -2587. What is the remainder when w is divided by 114?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 1\/150*d**5 + 0*d**3 - 1\/1680*d**8 + 8*d**2 + 0 + 0*d**6 - 1\/525*d**7 + 1\/120*d**4 + 0*d. Determine l, given that y(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - y - 8. Let i be b(-6). Let s = i - -520\/7. Let r = 20035 + -20030. What is the second smallest value in 3, r, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-88)*68\/(-17).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 858 and 156?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/3 (b) 16 (c) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169562564 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 8802?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + sqrt(209) + (sqrt(209) - (sqrt(209) + -1*sqrt(209))*1))\/(sqrt(44)\/sqrt(4)*-1).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -267*t**3\/2 + 10411*t**2\/6 + 13*t\/3 = 0?\nAnswer: -2\/801, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 19*j + 2*u = 85, u = -3*j + 51 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -81380, -81447, -81514, -81581?\n\"Answer: -67*k - 81313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15491, -30920, -46255, -61448, -76451, -91216?\n\"Answer: 8*k**3 - k**2 - 15482*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(7\/(-2)))\/((-780)\/(-364)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + 3. Let o be j(-6). Suppose 8*p = 3*p + o. Let g = -3.362 - -3.362. Which is the closest to g? (a) p (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47394173*w**3 - 8835519*w wrt w?\nAnswer: 284365038*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 744991.7 and 5.\nAnswer: 744996.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38304 rounded to three dps?\nAnswer: -0.383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97.43 + 98. Let l = o + 3.33. Let m = 2.6 + l. What is m rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232335136 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*n - 40, -72 - 2 = -5*n - 4*s. Suppose -v - 351 = -n*v. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37\/12 - 31\/12. What is the closest to 7\/3 in -2\/5, a, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 5*i, -423*d + 418*d = -4*i + 29 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-567)\/(-63) - (-4005)\/(-444))\/((-3)\/8)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 5*j**4\/4 + 5*j**3\/6 - 121*j**2 - 259*j. What is the derivative of h(k) wrt k?\nAnswer: 30*k + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 499220.2 and -780.\nAnswer: 498440.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {s: 5, c: 1, q: 5, n: 6}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*c - 23*c - 28360. What are the prime factors of c?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.22 + 26.3. Which is bigger: z or -3\/17?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 + 0*m - 2 - m - 4*m**2 + 2*m**3. Let f be h(-4). Suppose r = -f*x - r + 10, 4*r = x. What is the smallest common multiple of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3 + 4738806*d**2 - 21106957*d.\nAnswer: -6*d + 9477612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033788213.\nAnswer: 3, 114865357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to 0.3717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a - 23*a + 282 = -7*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93205\/46 or -2026?\nAnswer: -2026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001011000000110111110011 - 100?\nAnswer: -1010001011000000110111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = v - 4*m, 3*v + 4 = -2*m + 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -822, 286\/3, -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/156 - 307\/780. Which is bigger: b or 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((6*(sqrt(76)*1 + sqrt(76) + sqrt(76) + sqrt(76)) - sqrt(76))\/(sqrt(196)*1) + -5*(sqrt(19) - (sqrt(931) + (sqrt(931) - 5*sqrt(931)))) + -2)**2.\nAnswer: -21204734\/49 - 5976*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.18 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/7 + 6*f**2 - 495*f\/7 + 162.\nAnswer: -(f - 21)*(f - 18)*(f - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oogoggoggggoo. Give prob of sequence ooo.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1 + 5)*-6*5.\nAnswer: -180 - 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**4 + 3281197*t**3 + 2*t**2 + 17258*t - 2780.\nAnswer: 12*t**2 + 19687182*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/6 - 87*o\/2 + 130\/3.\nAnswer: (o - 260)*(o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 547553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -444.9293 to the nearest 10.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 2*o - 6. Let r be a(-4). Solve 0*s + 4*s + 5*k + 17 = 0, 0 = -r*s - 2*k - 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 14\/1219, -0.3, 0.3, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 772535847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -200, -700, -1518, -2690, -4252, -6240, -8690?\nAnswer: -11638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -3*n**4\/20 + 82*n**3\/5 - 717*n**2\/10 + 474*n\/5 - 13. Factor t(p).\nAnswer: -3*(p - 79)*(p - 2)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -565?\nAnswer: -2260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*c**2 + 3*c - 3*c)*(-c + 3*c - 4*c) + 4*c**3 + 5*c**3 + 0*c**3.\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155 or -2?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 - 2*d. What is the tens digit of u(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(1517\/820)\/(7*16\/(-840))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-225)\/100)\/(45\/(-12)))\/(12\/(-45))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12 (b) 5 (c) 4 (d) -2\/7 (e) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122333 - 1?\nAnswer: 122332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q + 6*q - 4*q. Let f(h) be the first derivative of -28 + h**2 + 32 + 0*h**2. Determine k(f(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 251 = 3*m. Let z = m + -33. What is the derivative of -23*h**4 + 9 + 5*h**2 + z*h**4 - 5*h**2 wrt h?\nAnswer: 108*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3636531.\nAnswer: 3, 47, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 393, 1557, 3477, 6141, 9537, 13653, 18477?\n\"Answer: -2*b**3 + 390*b**2 + 8*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 879 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: Calculate the highest common factor of 74 and 109372.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 45 (c) -3 (d) -706138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 302, 309?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7416 + 259561\/35. Let y(m) be the second derivative of 19*m + h*m**5 + 1\/21*m**4 - 2\/21*m**3 - 2\/7*m**2 + 0. Factor y(a).\nAnswer: 4*(a - 1)*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(2\/(-4)). Let d = 14 + -5. Calculate the greatest common divisor of v and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i + 34. Let r be x(-5). Let t be (r - 0*(-1)\/(-4)) + -1. Solve -14 + 11 = t*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.616 + -1.916. Sort -2\/5, w, -3, 28.\nAnswer: -3, -2\/5, w, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*f - h, -5*h + 4 + 6 = 0. Let c be (12\/(-3) - f)*-1. Is c at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*m + 40. Suppose 0 = m*z - 4*z - 16. Suppose -z*w - 6 = -5*w. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/24 and 125\/14796.\nAnswer: 29592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7455 - -119337\/16. Calculate the common denominator of 29\/12 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 5:11 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-29)\/(-2) - (38 + -48). What is the third smallest value in 42, 0.3, 6\/5, d?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 534*x**2 - 3 + 8*x**4 + 535*x**2 + x - 1066*x**2 - 4*x**3 as i + j*x**3 + k*x + c*x**4 + r*x**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -143*l - 478. Let p be y(-5). Calculate the highest common divisor of p and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t - 5*t - 45*t + t.\nAnswer: -62*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -3\/2, 39, -14\/47?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 12 + 2687*z**2 - 2705*z**2 - 12. Let w(u) = 7*u**2. Determine w(h(b)).\nAnswer: 2268*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-16)*-6 - 4\/(-1 + -3)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**2*x**2 - j**2*x - 518*j**2 - 43*x with respect to x.\nAnswer: 6*j**2*x - j**2 - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8905*t**3*u + 27843*t**3 wrt u.\nAnswer: 8905*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3 + 125*r**2 + 101*r wrt r?\nAnswer: 12*r + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 32*x**5\/7 + 68*x**4\/7 + 46*x**3\/7 + 2*x**2 + 2*x\/7 - 18. Find o such that l(o) = 0.\nAnswer: -1, -1\/4, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 8*f**2 + f - 6. What is the remainder when l(-7) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -30. Let f be (-56)\/(-14) - (2 + -13). Let j = y + f. Which is smaller: 1\/30 or j?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -171*s**2 + 326*s**2 - 72*s**2 + (-2 + 1 + 2)*(6*s**2 - 2*s**2 - 2*s**2) + (20 - 10*s - 20)*(0*s + 4*s - 2*s).\nAnswer: 65*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 q, and 1 m when four letters picked without replacement from {m: 2, w: 3, q: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8652302?\nAnswer: 2, 37, 116923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (1 - 10\/8). Let f = -47.2 + -15.8. Let p = 63 + f. Sort -5\/6, z, p in increasing order.\nAnswer: -5\/6, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -43, -64, -87, -112, -139, -168?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 - -76. Let t = 82 + m. Suppose -3*r + 26 = -t. Put 3\/8, 0, r in increasing order.\nAnswer: 0, 3\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r**2 - 3. Let a(c) be the first derivative of 5*c**3\/3 + c**2\/2 + 3*c + 3. Let w(v) = 7*a(v) + 6*m(v). List the prime factors of w(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350.5426 rounded to one dp?\nAnswer: -350.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 551590 rounded to the nearest ten thousand?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(1\/6)*n))\/((n**(5\/3)\/n)\/n))\/(n**7)**(-5\/3) assuming n is positive.\nAnswer: n**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 5\/3*r**3 - 4*r + 2\/5*r**5 - 11\/6*r**4 + 2*r**2 + 6. Let h(y) be the first derivative of f(y). Factor h(k).\nAnswer: 2*(k - 2)*(k - 1)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1252, -2377, -3500, -4621, -5740, -6857, -7972?\n\"Answer: i**2 - 1128*i - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*w - 46 = -514, -3*u + 5*w = -316. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18939706?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -91, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 16 = -5*h. Let n be -1 + -2 + (1 + -3 - h). Let u be n\/(-20) - 12\/(-20). Solve -3*w + 9 + u = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/1*-1*(-46 - 21). What is the derivative of 404 - 385 + 5*c**4 + z*c**4 wrt c?\nAnswer: 288*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55*m*q**2 - 25918*m + 26997*q**2 - 141 wrt m?\nAnswer: -55*q**2 - 25918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2. Let i(a) = -7*a + 6. What is i(d(h))?\nAnswer: 7*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 2*u**2 + 2*u**2 + (5 + 2*u - 5)*(2*u + 4*u - 3*u) + (-4*u - u + 3*u)*(-224*u - 147*u + 143*u) in the form t*u + h*u**2 + y and give h.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-15))\/((-20)\/15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*k - 5 - k - 2*k + 1 - 1 + (0*k + 0*k + 2*k)*(2 + 4 - 4) + 4*k - k - k + 2*k + k - k - 2*k + 0*k + k.\nAnswer: 7*k - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -109112 divided by 92?\nAnswer: -1186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -11. Let t = -15 - y. Which is the biggest value? (a) 3 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59645 is divided by 1127.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: (64\/160)\/((-2)\/(-2))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/((-1428)\/(-552)))\/((23\/(-46))\/(3\/6))?\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4589 or -4578?\nAnswer: -4589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*36)\/((-19)\/(-38)). What is the highest common divisor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-6*sqrt(60)*-2)\/(sqrt(12) - -4*sqrt(588)) + -5)**2.\nAnswer: -48*sqrt(5)\/29 + 4084\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3910 + 3857.42. Let u = c + 0.58. Let h = -52.111 - u. Round h to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (15683\/(-2))\/(3\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*f**4 - 37*f**3 - 354*f + 61898 wrt f.\nAnswer: -68*f**3 - 111*f**2 - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -5)*(-28)\/(-35). Let h = q + 19. What is the remainder when h is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/10 and -3\/1970?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*y + 364*y**2 - 240*y**2 - 63*y + y**3.\nAnswer: y**3 + 124*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*c - 3*c + 38, -5*n = 5*c - 35. Solve -5 + n = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-14))\/((-4)\/(-2)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**3 + 0 - 26*g + 4*g**2 - 79\/12*g**4. Find the second derivative of j(h) wrt h.\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 + 2*o**2 + 2. Suppose -5*r = -3*r - 4. Let p be d(r). What is the remainder when (-4)\/p - (-507)\/9 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -2035?\nAnswer: -203a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 + 3*z**3 + 10*z**2.\nAnswer: -z**2*(z - 5)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 58. Let p(d) = d**2 - 5*d + 2. Determine p(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 0.2, 4, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Suppose 0*i - 8 = -y*i. Let w be 4\/i*(-1)\/2. Is 1\/4 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 646*v*y**2 - 70*v*y - v - 661682*y**2 wrt v.\nAnswer: 646*y**2 - 70*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 30. Solve 5*k + 5 = -x, -5*p - 4*k = 21 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*(105\/(-6))\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(44\/24))\/((-6)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150 + 562. Let j = t - 709. Solve j*g - 2*l = -12, -g - 3*l + 4*l = 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13\/(-39))\/(((-3)\/2)\/(-3)). Let l = -0.411 + -0.809. Which is bigger: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 1374280*b.\nAnswer: 4*b*(b - 343570)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 2*l, 0 = -5*c - 3*l + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20, 123, 396, 923, 1788, 3075, 4868?\n\"Answer: 14*l**3 + l**2 + 2*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 22, 42, 68, 100, 138, 182?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 67*z**2. Let q = 15 - 14. What is the units digit of y(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 0 = -5*z - 4*x, 4*x - 20 = 0. Suppose z = -16*j + 11*j + 1655. Suppose o + j = 2*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/28336 and 111\/221536.\nAnswer: 2436896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 47 = -5*s + 29, 0 = -3*s + 2*l - 10 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 3007 = 439177. List the prime factors of t.\nAnswer: 2, 7, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11369520 by 48.\nAnswer: 236865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 3, -33\/8, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2862 divided by -54.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 2)*(a**2 + a**2 + 3*a**2) - 775*a**2 - 167*a**2 + 237*a**2 to the form f*a**2 + h + o*a and give f.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2707 or 13529\/5?\nAnswer: 13529\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffheeihfsfihihp. Give prob of picking 2 e.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*x - 58*x. Suppose x*h + 4*h - 240 = 0. Suppose -h*m = -61*m + 63. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*o - 4 + (-3 + 1 + 1)*(2 - 2 - o))*(-10 - 8 + 32).\nAnswer: 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + h = 51, -j + 10 = j + 3*h. What is the remainder when 53 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 485.91 - 486. Sort 1, -4, d.\nAnswer: -4, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115596 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/9)\/u*u**(1\/4)*(u\/(u*u**(-1\/2)))\/(u**7*u))\/((u*u**(-1\/5)*u)**5)**(18\/11) assuming u is positive.\nAnswer: u**(-9055\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24430, 47024, 69618?\n\"Answer: 22594*r + 1836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**6\/120 + 7*w**5\/60 + w**4\/3 - 7*w**3\/6 - 15*w**2. Let v be m(-5). Solve -10 = 3*a + 2*c - 0, -c - 8 = v*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120195, 118840, 116613, 113508, 109519?\nAnswer: 104640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9851598*n**2 - 7807228?\nAnswer: -19703196*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b - 1. Let q be s(4). Let w = q - 6. Calculate the remainder when w is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20, 168, 578, 1382, 2712?\n\"Answer: 22*h**3 - h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66379 + 66379 - 237*y**2)*(-2 - 1 + 1)*(10*y**2 - 13*y**2 + 7*y**2) to the form p + g*y**3 + x*y**4 + a*y + k*y**2 and give x.\nAnswer: 1896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**23\/(((p\/p**(-15))\/p)\/p))\/(p**(-25))**(1\/6))**(-1\/12) assuming p is positive.\nAnswer: p**(-79\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (91 - 35 + 9)*(2*l - l + l) + (-1 - 5 + 4)*(0*l - 4*l + 3*l) + 0*l + 0*l + 2 + 3*l to the form y*l + r and give y.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) - 49374\/(-312). Solve -19*s - l + 63 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 4*s - 93395752*s**3 + 93395754*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(((-135)\/(-20))\/(-1)*(-161)\/1449)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-7))\/(30\/945). Let t = 50 - o. Is (-3 - t) + 3 - -485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 828 divided by -36.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20109 or -20107?\nAnswer: -20109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 + w - 5. Let i(j) = -j**2 - 1. Suppose -d = -3*u - 2*d, 5*u + 10 = -5*d. Determine u*x(l) - 4*i(l).\nAnswer: l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -800, -2, 1 in increasing order.\nAnswer: -800, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 220 - 219.6. Which is the closest to 0? (a) 0.3 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -j + 93. Let c = j - 89. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643058 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: b\"What is the tth term of -317, -3881, -13521, -32267, -63149, -109197, -173441?\n\"Answer: -505*t**3 - 8*t**2 - 5*t + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12360 and 159003366?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15563 and 2561?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 205\/35)*(-7)\/(-2). Let i = -1 + 3. Suppose 0 = -12*v + 4*v + 88. Solve -q*m = -v + i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/9447 and 119\/18?\nAnswer: 56682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -771 + 2025. What are the prime factors of p?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(32\/8)\/((-10)\/(-8)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6887758007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txwtxxxtwzff. What is prob of picking 1 x, 1 t, and 1 f?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -70910.1 times -0.107?\nAnswer: 7587.3807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -8*z**2 + 3*z + 2. Let j(w) = 9*w**2 - 4*w - 2. Let g(n) = -6*j(n) - 7*x(n). Let u be g(-4). What are the prime factors of (-6)\/3 - u\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**4\/12 + y. Let l(g) = g - 2*g + 0*g + 3*g. Calculate i(l(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1352 and 1016?\nAnswer: 171704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + 1.4. Let y = c - 2. Let v = 2 + y. Are 0 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 1\/160*l**6 - 1\/8*l**3 + 0*l - 6*l**2 + 0 - 1\/32*l**4 + 1\/80*l**5. Factor m(x).\nAnswer: 3*(x - 1)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 224\/3 - 74. Which is the third biggest value? (a) -0.5 (b) -4 (c) 0.1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 2\/9, -4, -5, 3.6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -86\/2587 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26\/((-1404)\/4239))\/(1\/(-2)). Solve -48 = 41*m + r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-35))\/((-94)\/30 - -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 164.55 + -28.45. Let f = -142 + v. Which is smaller: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1750 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.84 and 61190.\nAnswer: 173779.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -11*z - 33240. Suppose -6*k + z = 14*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-2*1 - (-182)\/56.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 2. Let y = m - 6. Let k be (-2)\/20*(-2 - 0). What is the closest to -2 in 1\/2, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 9:02 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 - j**3 + 643*j**2 + 76*j**2.\nAnswer: 2*j**3 + 719*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13991779 divided by -37\nAnswer: 13991779\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/8532816 and -113\/185496.\nAnswer: 8532816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((81\/6)\/(-27))\/(5\/(-180))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**3\/3 - l**2\/2 - 14*l + 421. Suppose -7*g + 5*g = 0. Give c(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j - 14. Let t = 12393 - 12387. Determine k(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -11*r**2 + 11*r + 28. Let v(c) = -30*c**2 + 33*c + 83. Give 8*m(s) - 3*v(s).\nAnswer: 2*s**2 - 11*s - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1119*a - 270 - 168 = -92 - 10417 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(2\/(22\/22))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3 - 198*p**2\/5 + 212*p + 1248\/5 = 0. What is p?\nAnswer: -24, -1, 26\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 10 - 1 = -s, 28 = 4*s - 4*d. Suppose -s*x - 1 = 2, 465 = b + x. List the prime factors of b.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**7\/210 + x**6\/20 + 2*x**5\/15 - x**4\/4 - 3*x**3\/2 - 306*x**2. Factor y(w).\nAnswer: (w - 1)*(w + 1)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 762 or -4\/25?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6 - (6 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 2*i**3 - 2*i**4 + (-i**3 + 3*i**3 - 4*i**3)*(-5*i - 6 + 6).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 80. Let l(z) = z**3 + 8*z**2 + 8*z - 2. Determine l(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.03 + 0.03. Let h = -387 - -385. Let p = 0 + 0. Which is the closest to p? (a) g (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 1, -6, -5, 4, -3 in descending order.\nAnswer: 84, 4, 1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c730 (base 13) to base 7.\nAnswer: -322460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 19 = -0*b + 2*b, 4*c = 5*b + 35. Let d(p) = -p**2 + 9*p - 9. Let a be d(8). Let n = a - -5. Solve 0 = c*f - 16 - n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 + -43?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-6) - (-5859224)\/16. Let i = -208104 + o. Round i to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 9:21 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert d3264c (base 14) to base 2.\nAnswer: 11011001000101111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85467 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/11 + 16*i**4\/11 - 32*i**3\/11 + 4*i**2\/11 + 34*i\/11 - 20\/11 = 0. What is i?\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -12\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (85930033*m - 85930033*m - 835*m**2 + 5)*((-2*m + 1 - 1)*(m + 0*m + 2*m) + 5 - 2*m**2 - 5) as k*m**3 + g*m + v + o*m**4 + c*m**2 and give o.\nAnswer: 6680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415036081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, o: 5}. What is prob of sequence oo?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 4*s - 4. Let u = 2 + 3. Suppose -f = -u*f + 8. Let j(k) = 5*k - 2*k**2 - 2*k**f + 5 + 3*k**2. Give -4*j(o) - 5*q(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -14. Let t be r\/(-3) + (-5)\/((-120)\/184). Sort t, 2, 5.\nAnswer: 2, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2180\/179 + 775645\/62292. Let r = -19225\/87 - -221. Let t = b - r. What is the closest to 2 in 2, t, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nrenernnenee?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2470951 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5\/3))**(-46) assuming b is positive.\nAnswer: b**(230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (94 + 112)\/(2\/40).\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -1 (c) -4440\/3169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 111222012122222 (base 3) to base 14\nAnswer: db3aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**3 + 17*t**2 + 11. Let f(w) = -2*w**3 + 6*w**2 + 4. What is -11*f(v) + 4*x(v)?\nAnswer: 2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 82*g**3 - 8*g**2 - 3*g + 13. Let m be l(6). Suppose -24*i + 22*i - 3*j = -m, -2*j - 17444 = -2*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + 5*x**3 - 4*x**3 + (2 + 1 - 2)*(0*x + x**3 + 0*x) + 0*x + 0*x + 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 160083699767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2*c - 5 = c, -w + 5 = c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1439*c - 195. Is 140 a factor of b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 378\/43 and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -88227327?\nAnswer: -88227327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*k**3 - 107*k**3 - 81*k**3 + 285*k**3.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 7. Let t(g) be the second derivative of 5*g**4\/12 - g**3\/3 + g**2\/2 - 4*g. What is t(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4603234*m + 2066032?\nAnswer: 4603234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 32. Let d be f(17). Solve 0 = -c + 3*h - d + 17, 2*c - 12 = -2*h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.0848 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = h - 2, 2*h + 4*x - 7 = 5. Suppose i - 140 = -h*s, -5*s + 2*i - 3*i + 175 = 0. Suppose 2*n = -3*t + 98, -t = -0*t + 3*n - s. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 471149 and 266.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1. Suppose -3*z - 17 = 2*m, -6*m - 18 = -4*m + 2*z. Let j(d) = -d - d + 1 - 6. Calculate m*p(k) - 2*j(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*(-2*sqrt(108)\/sqrt(4) + sqrt(27)))\/(-3*-1*sqrt(9) + sqrt(54)\/(-1*sqrt(6))).\nAnswer: -sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43421 - 1?\nAnswer: 43420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxc when three letters picked without replacement from {a: 3, x: 3, m: 3, i: 4, c: 3}.\nAnswer: 9\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 49 = -3*x, x + 53 = 5*k - 0*x. Let c = 239 - 169. Suppose a - c = -0*a. Calculate the greatest common factor of a and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15201704 a multiple of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4\/3 (b) 3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-5)\/(10\/(-106)) + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + c - 105 = -33, -2*c - 60 = -4*n. What is the remainder when 151 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 5:55 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 6*x + 3*t - 5 + 13, -19*x + 75 = -0*t - 5*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 o when four letters picked without replacement from {s: 3, a: 2, o: 2, e: 1, j: 11}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0 + 0*i**3 - 3\/20*i**5 + 0*i - 11*i**2 - 1\/2*i**4. Find the second derivative of l(j) wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (1*-2)\/(2\/(-10)) and 4 + -1 + 1 + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40118 = 431*a - 3341*a - 35542 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11850236 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 61*d**2 - 7*d - 21. Let o be h(-2). Suppose -198*m - o = -199*m. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 1 - 9. Let k be 0\/(-1*(-3 + 1)). What is the second derivative of k*f - 2*f + 3*f - f**l wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -3*d + 10, -3*f - 9*d + 4*d + 26 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6)*(-1 - 45). Let l = 25 + v. Solve -5*p + 8 = -l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 92, 249, 478, 785?\n\"Answer: w**3 + 27*w**2 + 3*w - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 0.2 (b) -49 (c) -0.4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6355564, -6355563, -6355562, -6355561, -6355560, -6355559?\nAnswer: -6355558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 9*w**5\/5 - 3*w**4\/4 - 23*w + 23. Find the first derivative of h(o) wrt o.\nAnswer: 36*o**3 - 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -2371 (b) 2\/3 (c) 2\/11 (d) 0.5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/21*7\/(21\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/127824 and 53\/3.\nAnswer: 127824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*b = -62*b + 6. What is the remainder when 5 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + sqrt(156)*-4*-5 + sqrt(156) + (sqrt(156) - (sqrt(156) + sqrt(156)*2*3 + sqrt(156))))\/(((sqrt(336)*-1)\/sqrt(7))\/(sqrt(400) + sqrt(400)*1)).\nAnswer: -300*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(165) - -2*sqrt(165))\/sqrt(3))\/(sqrt(11) + (sqrt(396) - (sqrt(396)*-2 + sqrt(396))) + sqrt(132)\/sqrt(192) + sqrt(11)).\nAnswer: 20*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.23, 4, 0, 15?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1757, -156, -1, 17?\nAnswer: 1757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d*k**6 + 7*d*k**3 + 42*d*k**2 - 20*d + 433*k**5 - k**2 wrt k.\nAnswer: 120*d*k**3 + 42*d + 25980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8*j - 10 = 0. Suppose 15 + 5 = j*h. Calculate the highest common divisor of h and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311884?\nAnswer: 2, 103, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -104. Let o = 536141\/106260 - 1\/9660. What is the common denominator of o and 21*((-3)\/t)\/(-1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 5, -4, -274 in decreasing order.\nAnswer: 5, 4, 3, -4, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*o - 5*s - 259, 68 = 2*o + 5*s. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -83943620*f**2 - 23623574?\nAnswer: -167887240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -148, -717, -1642, -2905, -4488?\n\"Answer: 3*d**3 - 196*d**2 - 2*d + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1.2 (c) -685 (d) -0.3 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q + 5. Let n be v(0). Let b = 5 - n. Suppose -5*s + 2*j + 29 - 1 = b, 4*j = -5*s + 4. What is the highest common divisor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205239, -410529, -615819?\nAnswer: -821109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 = -2. Suppose 0 = 4*n - 2*y, 3*n - 2 = -2*n + 2*y. Suppose -1 = x - h, 0*x - n*x + h = 1. Solve 0 = -2*j - x*j - o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2664 (base 9) in base 10?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - (43 - 64)) + 4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014372781 rounded to 5 decimal places?\nAnswer: -0.01437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2638071812?\nAnswer: 2, 4423, 149111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 23 = 5. Let m(j) = j**2 - 6*j - 6. Let p be m(6). Let n = p - b. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266638.161 times -1?\nAnswer: 266638.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -2*n**3\/3 - n**2\/2 - 2*n. Let v = 27 - 29. What is g(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201164 less than -3871?\nAnswer: -205035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-7))\/((-25)\/(1106000\/(-96))). Which is bigger: 263 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1592*-134\nAnswer: 213328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 20 = -20*z, -7*b + 6*b - 5 = 4*z. Find u, given that 3\/4*u**2 + 0*u + z - 1\/4*u**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 383410 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b + 3*b + 46 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-29))\/(z\/(z*(z\/((z*z*z**(5\/8))\/z))\/z))*(((z\/(z*z\/(z**12\/z)))\/z)\/z)\/(z*z*z*z**(4\/17)\/z) assuming z is positive.\nAnswer: z**(-3245\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 + 214?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n**2. Let w = -390 + 390. Let o(f) be the first derivative of w*f + 2 + 0*f**2 + 1\/3*f**3. Determine o(v(m)).\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.45 + 17635386220?\nAnswer: 17635386218.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*o + 11. Let w(y) = -8*y - 12. Let j(n) = 2*n + 3. Let u(x) = -22*j(x) - 6*w(x). Let k be u(o). Solve k*h + 3*h = 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7\/2)*g)\/g*(g**(3\/20)\/g*g)\/g assuming g is positive.\nAnswer: g**(-87\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 0.2, -1 in decreasing order.\nAnswer: 38, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47255 and 34169.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23428435 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105331 divided by -890.\nAnswer: -105331\/890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2834*s + 202 + 1208 = -2819*s. What is the greatest common divisor of s and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -14*v - 17. Let x be t(-2). Calculate the highest common divisor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*u - 1034 - 6235 - 4539 = 1269*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -13089*k - 2. Let z(b) = -49*b**2 + 3*b. Determine t(z(u)).\nAnswer: 641361*u**2 - 39267*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 153.7*101\nAnswer: 15523.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Let x = f + -8. Let l = 7 + x. Which is bigger: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 410.1348 to zero decimal places.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 687871345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -0.2, 2.454 in ascending order.\nAnswer: -0.2, 2.454, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-48)\/9 + 4)*3. Let v = b - -14. What is the greatest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58005920 - f**3 + 2*f**3 + 58005950.\nAnswer: f**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10476 divided by -582?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79150, -158116, -237082, -316048, -395014?\nAnswer: -473980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 1\/6*r**3 + 1 + 2*r + 0*r**2. Let m(t) be the first derivative of d(t). Let q(b) = 2*b**2. What is q(m(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 15*b**2 - 11*b - 14. Let r be t(16). Calculate the highest common factor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 3*i - 3. Let p(c) = -2*c**2 + 4*c - 4. Let a(s) = 4*b(s) - 3*p(s). Let q(g) = -7*g**2. Calculate q(a(n)).\nAnswer: -28*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 2) + -3 + 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 9*s**2 + s - 13. Let o be f(9). Let k be (2*1\/o)\/(-1). Let i be 8\/10*1\/(-4). Sort i, -4, k in increasing order.\nAnswer: -4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -15. Let c = y + 1. What is the second biggest value in c, 2\/3, 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otttttot. Give prob of picking 2 t.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 24346.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(832) + 4 - sqrt(832))*1.\nAnswer: -24*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 6 = 2*h - 9, 0 = -2*h + 4*b + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**4\/12 - 13*c**3\/18 - 5*c**2\/3 + 18*c. Factor h(g).\nAnswer: (g - 5)*(3*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -8. Let c(o) = -y*o + 2*o - 6*o + 2*o. Let d(k) be the third derivative of k**4\/12 + k**2. What is d(c(g))?\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-297)\/864*-8)\/(2\/(-8)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 4*j - 2. Let l be c(4). Let f be (-8)\/l + (-60)\/12. What is the remainder when (27 - f) + 2 + -4 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -707, -706, -705, -704?\n\"Answer: i - 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 3 + 3 - 28*h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219.96723 months to millennia.\nAnswer: 0.0183306025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.5, -1, -5, 4?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 3*r + 2272 = 2286, -2*r + 16 = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a + 58. Let t(f) = -9*f + 58. Give 5*s(z) - 4*t(z).\nAnswer: z + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-19)\/(1615\/(-34)))\/(2\/(-20)). What is the closest to 0 in r, 5, -2\/9, 9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-14) + (3 - (-5258)\/14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1 = i, 3*i - 8 = -n + 6. Let o = -1150\/9 - -128. Which is greater: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25058850*s**5 + 16046912*s**2 wrt s.\nAnswer: -1503531000*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -4 + 3 - (-13 + 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noa when three letters picked without replacement from nstsnnnatntdnnnnsno?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 4\/55, 11?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -37067, 8, -1 in ascending order.\nAnswer: -37067, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (6 - 3) - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1287*q + 1. Let r be n(1). Let t = -587 + r. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*d + 28. Suppose 11 = 3*m + o, -4*o + 3 = -m - 2. Suppose -4*p - p = m*q - 65, 12 = 2*p + 4*q. Calculate the remainder when p is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -293*p**2 + 149*p**2 + 3*p**3 + 147*p**2 - 131 in the form c*p + q*p**3 + m*p**2 + u and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2\/7 - 205146202*d\/7 - 205146204\/7 = 0.\nAnswer: -1, 102573102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01134436 to 4 dps.\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1392 - 386 + 408)*(-1 + 1 + f).\nAnswer: 1414*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 4 + 6 - 2*a - 30.\nAnswer: -2*a - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 26*j**2 - j + 99. Calculate the remainder when 139 is divided by c(26).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240639069 divided by 21876279.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598409824?\nAnswer: 2, 3271, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115220 is divided by 236.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -339 + 170. What are the prime factors of ((-13)\/(k\/104))\/(2\/368)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 451 - 441 - (-1 - (-1 + -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(1 - 9*b - 25*b - 3).\nAnswer: -68*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**3 + 2*v**2 - 2*v + 3. What is the remainder when 92 is divided by u(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259796 divided by 5.\nAnswer: -259796\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*((0 + sqrt(300) - sqrt(300)) + 1 + sqrt(3)*-2) + (1 + 3 + sqrt(3) + sqrt(3) + sqrt(9)\/sqrt(27))**2).\nAnswer: -136*sqrt(3) - 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**3 + 3*r**2 - 4*r + 2. Let v be l(-4). Let d = v - -190. Let c = d - -261\/2. Is 4 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 10:49 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-9))\/(-2)*9. Suppose -f*k = -5*q + 25, -q = -0*k + 4*k - 5. Solve k = h - v - 1, 2*h + 4*v + 1 = -15 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-320)\/(-2240))\/((9200\/105)\/(-20)).\nAnswer: -3\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 703 and 117 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 292 - 291. Suppose -7*h - 603 = -j. Round h to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45707722, 91415448, 137123174, 182830900, 228538626?\n\"Answer: 45707726*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 428 and 49862.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 1:24 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 886 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*z - 24, 5*r - 394*z = -392*z + 28. What is the highest common factor of r and 772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.275 + 0.725. Let o = -7 + 0. Let n = h + o. Which is the third biggest value? (a) -0.2 (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.2. Let f = -103 - -108. Which is the closest to z? (a) -3 (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513 + 344 = 43*c + 169 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + l. Let b be r(1). Suppose -b*j = -5*o - 40, -4*o = 3*j - 14 - 8. Suppose -a + 5*n = a - 24, -j = -3*a + n. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + (-2 - -3))*22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184 and 26152748?\nAnswer: 52305496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -61.7 (b) 0 (c) 3\/43 (d) -1\/4 (e) 2 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528116.\nAnswer: 2, 31, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 13*q + 13. Give t(-7).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58914 is divided by 11771?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -41. What is the second biggest value in 15, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.2. Let n = 0 + v. Let q = -44650 - -44686. Which is smaller: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1211 - -326. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2046 + 2071. Which is smaller: b or 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9202166 rounded to the nearest 1000?\nAnswer: 9202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6*w + 6 = 0. Suppose -w*p = -4*p + 1. Let m = 0.6 - 0.1. What is the nearest to 2\/5 in p, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19352, 19557, 19892, 20357, 20952, 21677, 22532?\n\"Answer: 65*o**2 + 10*o + 19277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - -1789994) + (-4)\/(-2). Suppose 0 = -5*h + 4*h + f. Round h to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-3)\/(3 + 0). Suppose -4*k - k = 0. Let b = 842 - 830. Solve k = -4*w - b - u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61876835 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -52277 less than -52278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 81, 75, 59, 27, -27, -109, -225?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1583 * -150.9\nAnswer: -238874.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 23*b**2 - 111*b - 145. Let d be r(-17). Sort -5, 56, d, 0.2, 0.5.\nAnswer: -5, 0.2, 0.5, d, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 8*q - 1. Let y be 30\/15 + (1 - q*-1). What is the third derivative of -14*p + 14*p + 17*p**2 - y*p**4 + 0*p**4 wrt p?\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955.314ug to tonnes.\nAnswer: 0.000000000955314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, -23, -4, 0.3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 7*q**3 - 39.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*h - 78 = -8*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (178\/267)\/(2\/27).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) -43 (c) -1 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*x**3 - 86*x**3 + 140*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-8470)\/(-85))\/14 - 24\/3) + 1\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103 - -4?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -3 + 0*q**2 + 0*q - 1\/3*q**3. Let d(v) = 3*v**2 - v - 2*v**2 + v. Give d(u(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-914)\/3656*6*(-2)\/45*(10 - 0). Let j = -0.06 - -0.28. What is the nearest to m in j, 1, -0.3, -0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9? (a) -1\/2 (b) -0.02 (c) 349\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2, 3, -679761, -1\/2, 2\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19625345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7448599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14*(-1085)\/186.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 1145207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r + 3*r - 3*r. Let z(c) = -2*c. Let l(v) = -5*b(v) - 6*z(v). Let h(k) be the second derivative of -k**4\/12 + k. Calculate l(h(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + o + 3. Let v be d(0). Solve -1 = 4*z - v*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1639 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k - 5*k - 7*k**3)*(-4 - 2*k + 4) - 227*k**4 + 106*k**4 + 76*k**4 to the form a*k + i*k**2 + b*k**3 + c*k**4 + y and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -25700 at least as big as -25718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.4596429?\nAnswer: -0.4596429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/266949216 and 143\/6476616?\nAnswer: 6139831968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 816 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -2\/3, 3, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27c (base 13) to base 9\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247577.642 + 358.4.\nAnswer: 247936.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 12:48 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -92035, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61273223 to the power of 1\/2, to the nearest integer?\nAnswer: 7828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**3 - 4*m + m + 7*m**4 - 10*m**4)*(-3*m + 4*m - 2*m).\nAnswer: 3*m**5 - 6*m**4 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -113508*q - 2431. Is r(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1728 - 618. Does 20 divide s\/40 - (-1)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/12*(-1*2 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 241020 and 4017?\nAnswer: 241020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000020523353 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 (base 12) in base 7?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z**12*z)*z)*z)\/(z\/(z\/z**(-7)*z*z*z)*z*z) assuming z is positive.\nAnswer: z**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.28 + -250.28. Let m = s - -249.1. What is the closest to m in 1\/4, 2, -1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/317 or -1?\nAnswer: 5\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/1 + -2 - -2. Let f = 56 + -45. Which is bigger: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*y - 133*y = -34760. Suppose 3*f + r + 543 = y, 2*f - 1736 = -5*r. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130422302 + -15?\nAnswer: -130422321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**6)\/((d**6*d)\/d)*d**(-7)*d\/(d*d\/(d**(-3\/5)*d)) assuming d is positive.\nAnswer: d**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 e when three letters picked without replacement from {e: 4, a: 6}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37\/7 or -4330?\nAnswer: -37\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5975882309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 t when four letters picked without replacement from ptttp.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098276 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 330 = -2*w, w = -5*u + 6*u + 157. Does 55 divide w\/(-35) + 4\/(-10) - -775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -10981*m - 242. Let k(z) = -7321*z - 151. Give -8*k(x) + 5*q(x).\nAnswer: 3663*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -105584690.\nAnswer: -105584687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -145 - -146. Let s(w) = -9*w**2 - 5*w + 5. Let q(i) = -i**2 - i + 1. What is r*s(n) - 5*q(n)?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**5 + 12*a**4 - 47375*a**3 - 18288890*a**2.\nAnswer: 120*a**2 + 288*a - 284250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.51 rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1 = 17. Suppose -3*q = -d - p, -2*q - 3*d = -2 - 15. Suppose -2*m = -q*m + 36. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897 a factor of 79806987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-4\/3)))\/(s\/s**(4\/13)*s) assuming s is positive.\nAnswer: s**(-118\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-24)\/15)\/(-4)*(-1547)\/(-182).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/((-66)\/4)*534. Let d = 2472\/7 - x. Is d > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 5*w**2 + 1. Let z be u(-5). Let n(v) be the second derivative of 7*v**5\/10 - v**4\/12 + v**3\/6 + 6*v. Does 12 divide n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10063*x + 1350124 - 1350124 to t*x + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2807 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d**3 + 2*d**2 + 2*d - 2. Let x(i) = -8*i**3 - 2*i**2 - 3*i + 2. Let l(u) = -6*b(u) - 5*x(u). Let c be (-612)\/510 + (-4)\/(-10)*-2. Give l(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*d - 89*d = 16072. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s*s\/s**(-5\/6)))**(8\/3) assuming s is positive.\nAnswer: s**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50528784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1503.550008 - 1503.5. Let g = 2.95 + -3. Let w = g + p. Round w to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8098066 to the nearest ten thousand.\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59\/30? (a) -2\/17 (b) -0.7 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -5*l - 13*z + 304035, 60803 = l + 5*z. Suppose -n + 9*n = l. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z = 10. Let f = 2 - z. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/5, 4, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4350 and 18966?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0, -1 in decreasing order.\nAnswer: 0, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/10 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/3 - 2\/3*i**3 - 26\/3*i**2 - 46\/3*i.\nAnswer: -2*(i + 1)**2*(i + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495) + 2*sqrt(495) + sqrt(495))\/(3*sqrt(44)\/sqrt(4)) + -2)**2.\nAnswer: -16*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + g - 2 = 0, -5*g + g = -4. Let y be 1 - (-5 - (a - 2)). Suppose -3*h + 19 = -y. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1186 = -2*r, 4*r + 4*m = 532 + 1800. List the prime factors of r.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2\/21, -2, -26, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36570 less than or equal to 36582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 821 - 816. Solve -y = -i + 2, 5*y - 3*y - w*i - 5 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4021*k**2 - 213*k**4 + 4021*k**2 + (k**2 + 2*k - 2*k)*(-2 + 2 + 3*k**2) as q*k + h*k**4 + z*k**2 + a*k**3 + x and give h.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/(-5) - 1880\/(-8). Sort -1\/6, 4, s in ascending order.\nAnswer: -1\/6, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oopacwpwop. Give prob of sequence ww.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/68426 and -19\/20.\nAnswer: 684260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 10*k**2 + 10*k - 5. Let u be n(11). Let t = u + 16. Let c(y) = -y**2 - 4. Give c(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) -0.4 (c) -1 (d) 2 (e) 2683\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 29\/6, -6, -2\/7, 0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9379989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 12*p - 12. Let i(u) = -3*u**2 + u - 3. Let l(w) = 4*w**2 + 5. Let g(s) = 5*i(s) + 4*l(s). What is 12*g(n) + 5*y(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 17 = -5*d, 5*v = -d + 3 + 12. Let y(i) = i + 1. Suppose 1 = -s + 5. Let t be y(s). Calculate the greatest common factor of t and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (sqrt(75) + 5 - sqrt(75) - sqrt(75))).\nAnswer: -30*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 y when three letters picked without replacement from {z: 3, y: 7, f: 4, b: 2, p: 1, h: 1}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = -2*x + 1102. Suppose k + 299 = l - 3*k, -3*l - 5*k + x = 0. Is l a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 819 = -l. Let c = -72 - l. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 159, 212, 245, 252, 227, 164?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1150 - -71. Calculate the greatest common divisor of q and 333.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -147*c**2 - 110*c**2 + 31*c**2 + 34*c**2 - 23*c**2. Let z(n) = -6*n. Determine z(p(d)).\nAnswer: 1290*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in -1, 3\/7, -3.2, 1\/18, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 33. Which is the smallest value? (a) -2 (b) 1\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 2\/5 (c) -2\/41 (d) -2\/7 (e) -27 (f) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 + -2829508.\nAnswer: -2829507.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2 = 13. Suppose -a*c + 165 = 5*d, c = -2*d - 2*d + 117. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 2*k**2 + (0*k + 3*k - k)*(2*k - 2*k + 2*k + (-2*k + 3*k + k)*(0 + 4 - 2)) to f*k**2 + d*k + g and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**2 + 4*o + 2. Suppose 949*c - 956*c - 49 = 0. What is g(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -111, -234, -445, -750, -1155, -1666, -2289?\n\"Answer: -q**3 - 38*q**2 - 2*q - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j - 3*j - j**2 + (9 + 14 - 3)*(2*j**2 - j**2 + j**2 + j).\nAnswer: 39*j**2 + 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -204110414 (base 5) to base 4\nAnswer: -3032323321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -11?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o**3 + 11*o**2 - 29*o + 141. What is i(3)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmmuwmdmccdmzcwzcdm. What is prob of sequence cmu?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1160407 + 8122852\/7. Factor 3\/7*m**3 + 0 - 6\/7*m**2 + n*m.\nAnswer: 3*m*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-8)\/36) - 2*-1. Let w(u) = -u**2 - 9*u - 5. Give w(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8053249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79500 and 265.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 2*f + 1. Give o(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 8*g - 7*g + 14, -g = 5*r + 17 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/45844 and 119\/1698126?\nAnswer: 533211564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**3 + 55*s**2 - 4*s + 153. Give l(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**0*l**(10\/7) assuming l is positive.\nAnswer: l**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -200113220 (base 4) in base 12?\nAnswer: -64888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 - 20*t**2 + 5*t + 72537. Let r be o(0). Round r to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3501 + -3508. What is the closest to -13 in 0.1, k, -2\/11, -3\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9 + 1)*(2*n**3 + n**5 - 2*n**3).\nAnswer: 7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.6 + -2.47. Let a = -54 - -54. What is the third smallest value in m, -5, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 <= 69\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56, -118, -184, -254, -328, -406?\n\"Answer: -2*j**2 - 56*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y - 4865741 - 17*y + 14*y - 11*y + 4865741.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48533*y**3 - 19853.\nAnswer: -145599*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -7 (b) -1\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 30.192?\nAnswer: 29.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 143096 - 1.556\nAnswer: 143094.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ea7 (base 16) in base 13?\nAnswer: -3758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 8 = -3*x, 4*x - 3*t = 2*x + 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*z**2 + 14*z**2 + 50*z**2 + 45*z**2 - 2*z**2.\nAnswer: 59*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.68 * -0.05.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*y - 175 - 199. Let u(l) = -8*l**3 - 30*l**2 - 17*l - 38. Let s be u(y). What is s rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + k = 4*k - 14, 2*k = -3*g - 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4135.648ml in litres?\nAnswer: 4.135648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4)\/((-2)\/(-16)). Suppose -3*w - 18 = -c*v, -4*v + 12 = -2*w - 4. Suppose 4*g - 11 = 3*d, v*g - 28 = -5*d + 2. Solve 0 = -0*f - f + d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + g**2 - g - 7*g - 13*g to b + m*g + s*g**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*(-1 + (-6)\/(-10)). Let p(x) = -12*x + 5. Is p(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4001 (base 10) to base 8.\nAnswer: 7641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -61*n**3 + 53*n**2 + 5*n - 5. Let j(u) = -92*u**3 + 80*u**2 + 8*u - 8. Let k(a) = 5*j(a) - 8*z(a). Find the third derivative of k(w) wrt w.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2616 and -1425609967?\nAnswer: 1425612583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + h - h)*(-5 - 4*h**3 + 5)*(-34 - 136 - 100).\nAnswer: 1080*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 147.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 134*r + 90*r + 29*r - 29*r as w + p*r and give p.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = 0, 198 - 996 = -3*x + 3*o. Suppose 0 = 265*w - x*w. Determine q, given that 18\/7*q**3 + 2\/7*q + 12\/7*q**2 + w = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -3. Let i = -22.2 + r. Let m = -15.199927 - i. What is m rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/541 greater than 3\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -151 + 156. Sort -7, -3, 0, b in decreasing order.\nAnswer: b, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4198 is divided by 55.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -35?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = y + 32, -3*r = -2*y + 2*r - 64. Let h = y + 42. Calculate the greatest common divisor of 170 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 3. Let j be 65\/9 + 4\/(-18). What is the units digit of c(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1085 - 756. Let q = j - 329. Solve -n - 29 + 30 = q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 4*q - 5. Suppose 542 - 158 = 16*u. What is the smallest common multiple of u and l(-7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/44)\/(-1))\/(1\/2)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.52699936406 + 29.527. Round x to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjg when three letters picked without replacement from {g: 7, j: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -10*h. Let v(r) = -3*r - 9. What is v(b(n))?\nAnswer: 30*n - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -df8 (base 16) in base 4?\nAnswer: -313320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13604?\nAnswer: 2, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + ((sqrt(32))**2 - sqrt(2))*-3 + sqrt(2) + (sqrt(4)\/sqrt(2))**2 + 3 + (sqrt(10)\/(sqrt(5)*2) - (-2 + sqrt(242) - sqrt(2))))*4.\nAnswer: -356 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t. Let r(c) = -5*c - 2. Let g(p) = 6*p + 3. Let d(u) = -2*g(u) - 3*r(u). What is d(j(q))?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2517.29371 and -0.1153?\nAnswer: 2517.40901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -323\/3 - -109. What is the nearest to -1\/4 in 2\/9, p, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 z when three letters picked without replacement from ggzggggggzg.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 2\/5 (b) 0.2 (c) 3.83 (d) 0.049\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 times 1.673?\nAnswer: 165.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 110*r - 4834. What is the least common multiple of 772 and s(44)?\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1374*a - 15241. Give p(-11).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 30426767640 to the nearest one million.\nAnswer: 30427000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 12:52 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - 7*x**2 + 0*x**2 + (4 + 8*x**2 - 4)*(0 - 4 - 2 + (7 + 0 - 3)*(-2 + 3 - 3)).\nAnswer: -118*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1700)*1*-3 - ((sqrt(17) - sqrt(34)\/sqrt(2)*-1) + sqrt(17)*-4 + -1))**2.\nAnswer: 56*sqrt(17) + 13329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a minute?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f. Let u(i) = -8*i - 1. Suppose 16*h - 465 = -529. Determine h*p(v) - u(v).\nAnswer: 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/30)\/(6\/9). Let z be -1 + 4 - (10 + -6). Are d and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*n**3*t**2 - 142*n**3 - 34*n*t**2 - 4*t wrt t?\nAnswer: -96*n**3 - 68*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66896 <= 66885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p = -2. Suppose p*d - 4 = -0. Suppose 2*w + d*o - 20 = 0, 4*w + 6*o - 44 = o. Solve i = -i - w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 408*z - 20808.\nAnswer: -2*(z - 102)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s + 2 - 2)*(2 + 0 + 0) + 5*s - 4*s - 2*s)*(-2 + 6 - 2)*(-3 + 2 - 1).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p - 46. Let g be o(10). Let m(j) be the first derivative of 0*j - j**2 - 2\/5*j**5 + 2\/3*j**3 + 1\/2*j**g + 8. Solve m(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6 = -16, -2*p = 3*c + 216248. Let y = p + 11352442\/105. Let r = y + 59\/15. Which is bigger: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*r**2 + 14 - 14)*(-3 - r + 3)*(3*r - 2 + 0*r - 5*r) to the form b*r**2 + c*r**3 + x*r + w + m*r**4 and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 16) to base 8.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24369 and 418748773.\nAnswer: 8123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 33.8\nAnswer: -371.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*c + 1780, 8*c - 12*c - 892 = -s. Is s a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 5, r: 1, z: 6, b: 1}. What is prob of sequence mm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 870738 divided by -290246\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + -2. Let q(f) = f**3 + 8*f**2 + 6*f - 10. Let v be q(r). Let w = -1340 + 1341. Put v, -5, w in descending order.\nAnswer: w, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k = -10*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1357584479.\nAnswer: 277, 919, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -225, -209, -159, -57, 115, 375?\n\"Answer: 3*h**3 - h**2 - 2*h - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42087, -84174, -126261, -168348, -210435, -252522?\nAnswer: -294609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55568 is divided by 174.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 876.7413km in millimeters?\nAnswer: 876741300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-66) + 6\/(-66)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*p + 9, -3*p - 5 = 3*l + 2*l. Suppose -n = 2*h - l, -h = -2*n - n + 34. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441736099 is divided by 13390.\nAnswer: 13389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1, 8, -0.5, 31 in descending order.\nAnswer: 31, 8, 2\/7, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0709374072 rounded to 4 decimal places?\nAnswer: -0.0709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77\/5 - -16. What is the third biggest value in b, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2.5, 0.4, 9, -0.1, -3.16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -137\/2. What is the nearest to 0 in g, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 + 23*v - 225. Let d be z(6). Calculate the highest common factor of d and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16507 - 197953\/12. What is the common denominator of h and 91\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2.2. Suppose -v - 20 = -5*v. Suppose 2*k - 5*x - 37 = -k, 0 = v*k + 4*x. Put -0.4, k, c in increasing order.\nAnswer: -0.4, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 + 110. Sort 0.3, 1\/10, g, 0.2 in descending order.\nAnswer: 0.3, 0.2, 1\/10, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 1, 7283 in decreasing order.\nAnswer: 7283, 21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 4. Let f be -2 - (-1 - 23*-4). Let y = f - -467\/5. What is the third smallest value in -1\/4, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*u**3 + 178*u**3 + 0 + 0.\nAnswer: 357*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5115?\nAnswer: 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 16*j**3 - j**2 - 5*j - 4. Calculate k(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 48. Suppose 6*q - 3*q + 12 = 3*h, 8 = -2*q. Let r be 8\/j*(1 - h). Which is the closest to r? (a) 4 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 1030*n + 18600.\nAnswer: 5*(n + 20)*(n + 186)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1570 - 420 = 3*i, 796 = 2*c + 3*i. List the prime factors of c.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 4*sqrt(704)*3 - sqrt(704))**2 - (sqrt(704) + (4 + (1*sqrt(704) - sqrt(704)))**2)) + -2.\nAnswer: -8*sqrt(11) + 101358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -12*p - 9. Suppose o + 4 = -0. Is q(o) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41724, -42152, -42580, -43008?\nAnswer: -43436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1\/4*6\/(-18).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2962112 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -62\/7 > -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1, 25 in descending order.\nAnswer: 25, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/18 - (-14)\/3. Solve -j*t = 9 + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 47418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 not equal to 2\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5204911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 64 + 196. Let p be (-1)\/6 - i\/24. Suppose -3*h - p*h = 2*y + 3, -3*y - 5*h - 2 = 0. What is the second smallest value in y, 5, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1.22799272\nAnswer: -6.1399636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a meter in millimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 65359278?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*s + 55*s = -74*s + 89 - 89 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 962*f**2 + 266*f + 730*f - 98*f wrt f.\nAnswer: 1924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p + 3*p + p + (-21 - 10 + 17)*(-11*p - 6*p + 3*p) + (5 + 0 - 3)*(-2*p - 1 + 1)*(2 + 2 - 3).\nAnswer: 189*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600 = -108730*r + 108770*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 709*t - 714*t + 36, -18 = -2*t - 2*v for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - 7)*((-860)\/15 + 5).\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -0.3 (c) -3\/29 (d) -3\/7 (e) 167\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*m - 7791 - 1659. Let o = m - 374. Let l(q) = 2*q**2 - 15*q + 7. Let n(x) = -x**2 + 7*x - 4. Let t(w) = -2*l(w) - 5*n(w). Determine t(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 14*c**2 - 14*c - 40. Let i be p(-13). Let l be (-6)\/i + (-364)\/(-63). Solve 0 = 2*z + 8, 4*h = -2*z + l*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16545*-0.1\nAnswer: 1654.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 + -127. Let l(w) = -w**2 + 6*w - 3. Determine l(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000512844862 rounded to seven dps?\nAnswer: -0.0000513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/82 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = w + 5*y + 18, 3*w - 3*y = 9. Let i(u) be the third derivative of -u**4\/6 + 5*u**3\/6 + 3*u**2 - 6980. Let d(o) = o - 1. Calculate w*i(q) - 5*d(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 11:57 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39665 divided by 7933?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 = -2*n, -v + 2 = 2*v - 4*n. Suppose 14 = v*f + 6. Suppose -f*h + 20 + 12 = 0. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 237065 and -22?\nAnswer: 237087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -70. What is the closest to 1 in -5, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-279)\/31 + 30\/4 + (-3)\/2. Let j(h) = -2*h**2 + 3*h + 12. Let f(q) = -3*q**2 + 5*q + 24. Give v*f(o) + 5*j(o).\nAnswer: -o**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30201?\nAnswer: 3, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*s - 12*s + 11*s)*(s**2 - s**2 - 2*s**2).\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -230 - -230. Solve x = -r - 4 - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + 3.05. Let v = p + -3.5. Let q = -2451\/2 - -36761\/30. What is the closest to -2\/7 in v, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02752 - -0.71084\nAnswer: 0.73836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -m - 4*m + 64, -3*u = -4*m + 47. Suppose 2*j - 2*w = m, -2*j - j = -w - 27. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 201468 + -2?\nAnswer: 201466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -432*y**4 + 8*y**3 + 4*y + 773. Let r(g) = 433*g**4 - 10*g**3 - 5*g - 774. Let a(t) = -5*o(t) - 4*r(t). Differentiate a(c) wrt c.\nAnswer: 1712*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.89 - 4.89. What is the closest to s in -5, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042219 rounded to seven decimal places?\nAnswer: -0.0000422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 1, v: 1, p: 1, o: 1, k: 2}. Give prob of sequence vz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1716056, -3432101, -5148132, -6864143, -8580128?\nAnswer: -10296081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.8 + 18. Which is the closest to i? (a) 2 (b) 5\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -369450, -369784, -370342, -371124?\nAnswer: -372130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 3*g - 5. Let h be -3 - ((4 - -2) + -4). Give l(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/2*(-9)\/(-63)*7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 52. Suppose 0 = -q - 5*g + 31, 0 = -r*g + g + 6. Let t be q\/4*(25\/4)\/5. Solve -j - t = -4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -30. Let i(k) = 4*k + 14. Let o be i(q). Suppose -z = -o*z - 6. What is the second biggest value in z, -3, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -204.4 + 1214.4. Let x = -1010.00000437 + y. Round x to 7 dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -450 divided by -225\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64450 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrbrrbrbbbbrbbbbb. Give prob of picking 1 b and 2 r.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*j - 648, -115 = 2*j - 2*a - 379. Let g be (30\/(-8))\/(24\/j). What is the units digit of (24\/g)\/(6\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1406 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 31362?\nAnswer: -25\/31362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3*o - 16, 25386*o = 25382*o - 3*i - 38 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Let o be 575\/c + (-6)\/9. Suppose 0 = -b - 0*b + o. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 9*h**2 - 11*h + 7. Let p(a) = -a**2 - 6*a + 19. Let j be p(-9). What is the remainder when y(j) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -41, -0.4, -2\/15 in decreasing order.\nAnswer: -2\/15, -0.4, -25, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 741*w**3 - 10 + 5842*w**3.\nAnswer: 5101*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (sqrt(272) + -1 + 2)**2 + ((sqrt(272) + -2)*2 + -3)**2.\nAnswer: -104*sqrt(17) + 1409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4341 + 40434303?\nAnswer: 40424412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7690458065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxxxxl. What is prob of sequence ll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n - 1. Suppose -3*b - b = 4. Let z be w(b). Differentiate -2*x**z + 0 + 2 - 1 with respect to x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 88 - 4*p + 57 in the form s + o*p and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d + 3. Let f = 12544 + -12543. Suppose 3 = -w + r, -25 = 5*w + 2*r + 4. Put w, -11, f, d in descending order.\nAnswer: d, f, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 930*i + 78 - 107 as b*i + c and give b.\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010 (base 2) in base 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 0*n**2 + 0*n**3 + 4*n + 1\/6*n**4 + 0. Let j(t) = 11*t. Give p(j(g)).\nAnswer: 242*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20 * -1.1\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12077\/110 - 1244\/11. Calculate the common denominator of b and -37\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1080 divided by 24\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-12)*f)**(-2\/9)*f**(-2)*f*f**(2\/29) assuming f is positive.\nAnswer: f**(395\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/7)*o)\/o*o**10 assuming o is positive.\nAnswer: o**(73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/17100 and 91\/18050?\nAnswer: 324900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:27 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijuvyjyi. What is prob of sequence jvj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaagagggagggga. Give prob of sequence ag.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/50 - (-14 - (-5134)\/(-425)). Solve l - 3*b + 7*b = 21, 5*b - a = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 27 = 2*g - 5*u, 5*g + 3*u = 57. Suppose 0 = -0*p - g*p + 1200. What is the highest common divisor of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 782 = 5*j, 24*j - 2*w = 29*j + 776. Let k = 354 + j. Let n = -31 - -71. What is the greatest common divisor of n and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1883 + 1889. Let i be j\/(-5)*(13 - 2074\/153). Factor -4 - 16\/3*k**2 - i*k**3 - 26\/3*k.\nAnswer: -2*(k + 1)**2*(k + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0817 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 277 + -274. Differentiate -33 - 4*v**4 + 11*v**3 - 29*v**3 + 17*v**g wrt v.\nAnswer: -16*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j\/(j\/j**3))\/j))*(j*j**(-4\/11))\/j)\/(j*j**(-1\/5)\/j*j*j\/(j\/(j**(-2\/11)*j)*j*j)))**(3\/23) assuming j is positive.\nAnswer: j**(333\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -211*s**3 + s**2 + s + 2. Let z be f(4). Round z to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1474.064 + -21\nAnswer: -1495.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/(s*s\/(s\/(s**9\/s))*s*s)*s**(-1\/7)*s\/((s**7*s)\/s))**35 assuming s is positive.\nAnswer: s**(-425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*i - 168*i + 1797520 = -2324976. What are the prime factors of i?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4816*f - 643309 = -877*f for f.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 4) to base 16\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 b when three letters picked without replacement from fbuqbikk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34148a + -39?\nAnswer: 341451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(8) + -1)*1 - sqrt(128)\/(sqrt(20)\/sqrt(5)))**2.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/7 - 95*c\/7 + 2074\/7 = 0. Calculate c.\nAnswer: 34, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + 4.8. Let s = l + -20.8. Which is the second biggest value? (a) -2 (b) -8 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2. Let a(t) be the second derivative of -7*t**3\/3 - 11*t. Give a(y(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-40)\/(-12))\/((-2)\/(-3)). Suppose 5*u - 5*o - 10 = 0, 8*u = 4*u + a*o + 6. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5002494*r**4*v**3 + r**4 + 4*r**2*v**3 + 2*r**2 - 12*v**3 + 11159*v + 1 wrt r.\nAnswer: -120059856*r*v**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 328*t + 14316. Give i(-48).\nAnswer: 876","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -171, -1\/95, 1, 5, -26.\nAnswer: -171, -26, -2\/7, -1\/95, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(2 + 12\/(-5)). Suppose -3*u - 4*y = -1, o*y = 5*u + 2*y + 37. Which is the nearest to 1\/2? (a) -1 (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6030.4 + -6030.4309735. Let x = z + 0.031. What is x rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 11*y**2 - 9*y - 17. Let d be f(-11). Let o = d + -161\/2. Let i = -19 - -10. Sort o, i, -2.\nAnswer: i, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102200010102102 (base 3) to base 2\nAnswer: -10111101010010100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/6 of a hour?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 61 + (4840836\/496)\/(-143)\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 2.9. Let x = -3 - -3. Let l = o + x. Sort -3, l, 1\/2 in decreasing order.\nAnswer: l, 1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 6 - 6 - -157. Which is smaller: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(5*(-8)\/(-60)). Suppose -2*n + 60 = 3*n. Calculate the greatest common factor of z and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -670747?\nAnswer: 670752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01548 - -8.01548. What is the nearest to q in 0.3, -0.3, -0.04?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -v - 66, -8 = 5*v - 33. Calculate the remainder when z is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g - 4*g - g**3 + 16*g**2 - 13*g**2 - 3*g**4 + 0*g**3 to the form o + i*g**2 + w*g + s*g**4 + v*g**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + 51 - 51 - 21.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5740 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165446031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14 - (4 - 2\/1). Let j(y) = -535 - 541 + y**2 - 524 + y + 6*y + 1625. What are the prime factors of j(h)?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 1, r: 1, v: 1, m: 3}. What is prob of sequence vr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 8:30 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1321613938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.03, -0.1, -0.1273, 0.5, -6.\nAnswer: -6, -0.1273, -0.1, 0.5, 3.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-173)\/(-519) - ((-19522)\/6 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 16*j + 8. Let k be a(16). Let w(l) be the third derivative of -l**5\/60 + 5*l**4\/12 - 7*l**3\/6 - 983*l**2. Determine w(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - 915)\/(-27) - (-53176)\/(-1518).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1836)\/24)\/(-17)*(-8)\/51)\/(-4).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 2\/3, -0.3, 16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 55 + 30)*(-3*p**3 - 2*p**3 + 4*p**3) + 7*p**3 - 11*p**2 + 11*p**2 + (-2*p + 4*p - 5*p)*(-5*p**2 + 5*p**2 + 2*p**2).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 34. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 167047602?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -9*z**5\/4 - 35*z**4\/4 - 120*z + 63. Let i(k) be the first derivative of m(k). What is the third derivative of i(p) wrt p?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3517*f**2 - 370*f + 1125. What is the hundreds digit of j(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 18*q**2 + 19*q + 3. What is the smallest common multiple of 6 and t(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6899115 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -24 - 15 - 2 - (-24 - (-2 + -1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2 + 384*t**3 - 29*t**3 - 691*t**3. Let m be g(-1). Let b = m + -213. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -127, -230, -375, -574, -839, -1182?\nAnswer: -1615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82 + 573\/7. Let v be (-46)\/(-10) - 4\/(-10). Let o = -10 - -10.4. Sort r, v, o.\nAnswer: r, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(120\/(-18)) - 153\/(-6). Let l = 743.7 - 669. Let r = l + -75. Put -5, r, z in ascending order.\nAnswer: -5, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 41. Let d(a) be the third derivative of -1\/90*a**5 + 0*a**3 - 1\/36*a**4 + f + 0*a - 3*a**2. Factor d(p).\nAnswer: -2*p*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {c: 2, t: 2, e: 1, g: 1, j: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.276 + -15.25. What is x rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 3*q - q)*(1 + 0 - 3 + (4 - 1 - 1)*(3 + 11 - 1) + 9 - 6 + 5).\nAnswer: 64*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 10:11 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -772578, -1545132, -2317682, -3090228, -3862770, -4635308?\nAnswer: -5407842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 969617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (36 - 53 - -13).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 5*t**2 + 5*t - 4. Let y be q(-6). Suppose 5*m + 10 = 0, -5*u = -0*u + y*m - 56. Suppose 10*i + 50 = u*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-5))\/((-39)\/(-130)). Let g(r) = -30*r + 57. Let a be g(x). Suppose -7*n - a = 275. Which is greater: n or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -12. Let i(h) = 2 + 5*h + h - k. Let p(z) = -5*z**2 + 4. Let j(g) = -11*g**2 + 9. Let f(u) = -4*j(u) + 9*p(u). Determine f(i(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = o - 19, 4612*m - 4613*m + 21 = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -23. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 1. Let u(g) = g**3 - 2*g + 3. Suppose 2*z + 4 = 2. Let j(f) = z*u(f) - 3*r(f). What is the second derivative of j(n) wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 126*g**2 + 2594*g - 35. Let q be b(144). Suppose -3*f - 82 = -5*h + 33, 2*f = -4*h + 92. What is the greatest common divisor of h and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 4*p**2 + 4*p - 4. Let s be x(3). Let q(z) be the first derivative of -3*z**4 - z**3\/3 - 453. What is q(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*r - 385*r - 17*r - r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*b**3 + 22*b**3 + 11 - 9 + (-4 + 3 + 2)*(3*b - b**3 - 3*b) to the form y*b**2 + c + h*b + s*b**3 and give s.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 525543\/22 - 23893. What is the common denominator of r and -71\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 19 = -4*b, 3*b = -4*c + c + 30. Let d(l) = -8*l - 2 - 4*l + b*l + 0 + l**2. Let h be 4 - 5\/(5\/(-2)). Give d(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3630 - 3632.873. Let i = -3.49 - t. What is i rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8726105?\nAnswer: 5, 1223, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4321213431 (base 5) to base 11\nAnswer: 5199840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 1*(-1 + -3 + 2). What is the fourth biggest value in -2\/19, 2\/13, f, 27?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/2))**(1\/25)\/(x*x**3)**(-27) assuming x is positive.\nAnswer: x**(5401\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 851 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(1\/4)\/v)\/v)**(15\/4)\/(v*v**5*v**(1\/10))*((v\/v**(2\/23))\/v)\/v*v*(v*v**(-5\/4))\/v*(v\/(v**(1\/3)\/v*v))**1 assuming v is positive.\nAnswer: v**(-52897\/5520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1269758089\/570 + -2227645. Let o = f - -6\/95. Put 0, o, -4, -3 in descending order.\nAnswer: o, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 5*d + 5. Give g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/60)\/(6\/15).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 6 - 2635*s - 2*s**3 + 2635*s - 9*s**4 + 8*s**4 as r*s + a*s**4 + g*s**3 + i + f*s**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - -16. Calculate the remainder when a is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08695*4.\nAnswer: 0.3478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/949739 and -24\/12145.\nAnswer: 4748695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7*m = 3*a + 4, 3*m - 28 = -4*a. Suppose -2 = -5*s + 8, 5*s = -m*t - 34. Let c be -2 - 0 - (t + (-3 - 0)). Solve 4*n = -0*n + c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (2 + -6 + (2 - 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 13*w**2 - 19*w + 27. Calculate x(-10).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(8\/15))**(-21)\/((l**(-43)*l)\/l**(6\/13)) assuming l is positive.\nAnswer: l**(2032\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63045.46 millennia in years?\nAnswer: 63045460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14213.\nAnswer: 61, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*j + 7. Let u be (j\/3)\/(17\/102). Let i(r) = 3*r**2 + u*r**2 - 8*r**2 + r + 4*r**2. Give i(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26)\/sqrt(2) + -4)*3)**2.\nAnswer: -72*sqrt(13) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1644 = -b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from {o: 1, p: 2, w: 1, u: 1, b: 1, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -239 + -914. Let d = 6863\/6 + w. Calculate the common denominator of 17\/30 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7188730 divided by -37.\nAnswer: 194290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1496 - 1465. Let s be (300\/18 + -5)*3. Is z >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -32*a - 747. Calculate the remainder when 29 is divided by v(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003220708 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*g**3)*(-74 - 6*g + 40*g + 76) to o*g + t + i*g**3 + r*g**2 + c*g**4 and give c.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 812\/87*(8 - 806\/91)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25.4, -3\/2, -9, -97 in increasing order.\nAnswer: -97, -25.4, -9, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18225 and 6840630.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + 4)*(-1)\/(-2). Let l = -33 - -98\/3. Which is the closest to -1? (a) l (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21\/(-12))\/(-7))\/(19\/1444).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 + 22*r**2\/5 - 38*r\/5 + 18\/5.\nAnswer: -2*(r - 9)*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 324 + -324. Sort c, 0.5, 12 in descending order.\nAnswer: 12, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, o: 7}. Give prob of picking 2 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 3*i + 3. Let c(z) = -6*z**3 + z - 6. Let l(p) = -5*p**3 + p - 5. Let f(n) = -4*c(n) + 5*l(n). Calculate -3*f(y) - g(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32345107 rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0149? (a) 2 (b) 10 (c) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((j*j*(j\/j**(2\/5))\/j*j*j)\/j)\/j)\/j)\/(j\/j**(1\/28))*(j\/j**3)**(-23\/4))**(-21\/8))**(1\/13) assuming j is positive.\nAnswer: j**(-4677\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c + 73. Let h be u(-6). Suppose 5*b - 28 - h = 0. What is the remainder when 20 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1230 or -1229?\nAnswer: -1229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2116307 (base 12) to base 9\nAnswer: 12678537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(1 - 2) + -243 + 245 + -17.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 915*c + 9*c**2 - 2784 + 1434 + 431*c**2 - 5*c**3 = 0?\nAnswer: -3, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176259 = -41*b + 176177 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -332 + 393. What is the remainder when 186 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276982246.\nAnswer: 2, 138491123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*v = -5*d + 59, -3*d = 3*v - 81. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2341\/48 + 13\/48. Let u = -2066628559\/2982416 + 42\/186401. Let c = 699 + u. Calculate the common denominator of c and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - 152*q - 2684. What is n(-15)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -37*v**3 + 4*v**2 + v - 2. Let q(g) = 2*g**3 + g**2 - 1. Let o(f) = n(f) - 4*q(f). What is the second derivative of o(u) wrt u?\nAnswer: -270*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374736 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7201790 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -583*a**2 + 2339*a**2 - 588*a**2 - 583*a**2 - 583*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378959 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -13*k**2 - 2 + 9*k**2 + 3*k**2 + k - 2*k**3. Suppose -4*f + 20 = f. Suppose f*a = t - 4, 4*t + 10 = -a - 8. Give w(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6*k + 20 = 0. Let b be (-14)\/35 + 3\/k. Let h = 69 - 74. What is the closest to b in -1\/7, h, 0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 + 45389228*j\/9 - 257522752304498\/9.\nAnswer: -2*(j - 11347307)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-40) - 85\/146. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28539 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 - -27.4. Let l = 30.8 - g. What is the second biggest value in l, 16, -5, -3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68848, -137810, -206716, -275536, -344240, -412798, -481180, -549356?\nAnswer: -617296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-1\/2)))**(-1\/22)*s**(-2\/7)*s*s**6)\/(((s*s*s\/(s\/s**(1\/5)*s*s))\/s**(-2\/5))\/((s**(-4\/7)\/s)\/(s*s**1))) assuming s is positive.\nAnswer: s**(3951\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1294930.\nAnswer: 2, 5, 7, 13, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119332513 to the power of 1\/3, to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 + -127. Let q = -55.9955 - r. Let p = q + 0.0224. Round p to 3 dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84*z**5 + 24*z**4 + 2747*z**2?\nAnswer: 5040*z**2 + 576*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17165312*r**4 - 164473636*r?\nAnswer: 205983744*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1583*d**3 + 3*d**2 - 1576*d**3 - 3*d + 3*d as y*d + w*d**3 + q*d**2 + u and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 154891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2943*l**3 + 13868*l**3 + 61482*l**3.\nAnswer: 78293*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(242) + -2 - sqrt(242) - sqrt(242))*-3 - -2*sqrt(242)*-3))**2.\nAnswer: -3564*sqrt(2) + 19926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 20. Let d be ((-12)\/8 + 0)*y\/6. Suppose d*f = 4*q - 2*f - 556, -558 = -4*q + 2*f. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, p: 3, o: 1, y: 4, k: 1, q: 1}. What is prob of sequence mo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {r: 3, s: 8}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:07 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-2)\/(-2)))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*v - 729 = -2339 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -983, -960, -925, -872, -795, -688, -545?\n\"Answer: t**3 + 16*t - 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-21))\/(12\/35). Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 - 45. Suppose 4*m + q - l = 0, 2*m - 5*q = -0*m + 34. Factor -7*n - 3 - 7*n + 5*n**3 - n - m.\nAnswer: 5*(n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -214.029536 - -214. Let s = c - -0.029. What is s rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 = 3, 0 = 2*b + 2*l - 6. Suppose -2*a + 25 = 3*t, -a - 10 = 31*t - 34*t. Solve 0 = q + 3*q + 2*v - 6, -a*v = -b*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1232 or -1569?\nAnswer: -1232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9218\/286 - 6\/26. Calculate the greatest common factor of 64 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3442198088 and 10.\nAnswer: 17210990440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p**2 - 8*p - 95. What is the remainder when r(13) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 851 and 3415063?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h + 0 + 6\/11*h**3 + 4\/11*h**2 + 2\/11*h**4.\nAnswer: 2*h**2*(h + 1)*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyocroh. What is prob of picking 1 o and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 21. Solve -y*o - 2 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1011 + -1011.2. Which is the closest to p? (a) -2 (b) -10 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*r - 1027970 = -5*d, 1541953 = 3*d - 2*r. Let g = d + -735183. What is g rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 304417 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -23*t**3 - 6*t**2 - 8*t + 2. What is the tens digit of x(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/20)\/(((-165)\/(-110))\/((-24)\/2))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 12:56 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 125*a + 340. Let x(o) = 229*o + 682. Determine -11*d(m) + 6*x(m).\nAnswer: -m + 352","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-137 + 116 + -28 + 10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 3292*v**2 - 9848*v + 6560.\nAnswer: -4*(v - 820)*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -1474250 = -1474253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((-4*((sqrt(68) - sqrt(68)*-1) + sqrt(68)) + sqrt(68))*-3*1)\/(5*(sqrt(4) - -2*sqrt(4)) - (sqrt(256) + 3*sqrt(256) + sqrt(256))))**2.\nAnswer: 21013\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281254, -281249, -281240, -281227, -281210, -281189, -281164?\nAnswer: -281135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3017556 + 415?\nAnswer: 3020173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, z: 2, d: 2}. What is prob of sequence qdqq?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4 = 11*l - 9*l, -5*a = 4*l + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-44)\/(-8))\/(2\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*l - 66*l = j - 6, -2*j = -l - 6 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npgngpnpppgnn. What is prob of picking 2 g?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66\/865 + 30077\/2595. Determine y so that -u*y + 170\/3*y**3 + 200\/3*y**4 + 10\/3 - 25*y**2 = 0.\nAnswer: -1, -1\/2, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3844 is divided by 90?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10000111100000111101000 (base 2) to base 5\nAnswer: -2114044202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 2\/5, -1\/3, 85 in decreasing order.\nAnswer: 85, 28, 2\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-2233))\/(6\/42)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4891866 is divided by 2609?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87 * -12.\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -21, 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198449332?\nAnswer: 2, 59, 73, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8759*k. Let x(i) = -363*i. Determine x(h(m)).\nAnswer: -3179517*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -759 - -775. What is the remainder when m is divided by 0 + 0 + -2 + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1027\/2220 + -3\/740. Let t = -1\/15 - m. Let -t*y**2 + 0 - 2\/5*y**3 + 4\/5*y = 0. What is y?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 + 22\/(-6) - 5. Suppose -3*a - 5*y + 6 = 0, -4*a - 3*y + 0*y + 8 = 0. Factor 1\/3 + n*s**a + 2\/3*s.\nAnswer: (s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 8. Let r be v(8). Let l = r + 2. Is 1 + 37 + l\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19761397*k**2 + 80887769.\nAnswer: -39522794*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0442 - 7?\nAnswer: -7.0442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 847209814 and -0.3?\nAnswer: 847209814.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.76 - 2. Let a = b + 1.94. Let g = 1.6 - a. Sort 1\/8, g, 1\/3 in decreasing order.\nAnswer: 1\/3, 1\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034963 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**3*p**2 + 8869216*l**3*p + 2*l**2*p**2 - 21*l**2*p - 3*l - 10*p**2 - 164 wrt l.\nAnswer: 18*p**2 + 53215296*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**4\/7 + 642*f**3\/7 - 45676*f**2\/7 + 165048*f\/7 + 517968\/7 = 0.\nAnswer: -2, 6, 99, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + (1 - (-3 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1795478965 - 41.2\nAnswer: 1795478923.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22042.87188 rounded to the nearest one hundred?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*z**4 - 10*z - z + 2*z**2 - z**3 + 7*z in the form s*z**2 + c*z**4 + l + d*z + v*z**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**4\/4 + 2*c**3\/3 + 3*c + 6. Determine t(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -12*y + 29*y - 8*y - 7*y - 7*y. Let i(q) = -19*q**2 + 3. Determine i(a(s)).\nAnswer: -475*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 922867 or 2?\nAnswer: 922867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -5, 4, 0.3233, 1, 223 in increasing order.\nAnswer: -5, 0.3233, 1\/3, 1, 4, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -203\/55040 or 0?\nAnswer: -203\/55040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 - -2 - (-6 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 3*b + 5. Suppose 0*h = h. Suppose h = 3*t - 0*t + 3*x + 9, 3*x + 9 = 5*t. Suppose -7*q + 3*q + 20 = t. What is z(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 7*i**4\/24 + 7*i**3\/6 + 10*i**2. Let t be (-48)\/(-10) + (-429)\/55 + 7. Let c(g) = 6*g + 6. Calculate t*h(a) - 5*c(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d - 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, e: 4}. What is prob of sequence ssse?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3595 - -6943\/2. Let q = -123 - n. Which is the third smallest value? (a) 1\/7 (b) q (c) -2\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189121278.\nAnswer: 2, 3, 53, 594721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.72 less than -81?\nAnswer: -61.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 12 = 5*w. Suppose 4*t + 2*c + c - 14 = 0, -t = -2*c + 2. What is the second derivative of -18*h**t - 19*h**2 - 17*h - w*h**3 + 37*h**2 wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**12)**(-1\/4) assuming j is positive.\nAnswer: j**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*4\/10 + 4184\/40 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 5*s + 156. Suppose -9*w - s = -10*w. What is the remainder when w is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 8:39 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 159*c**2 - 560*c**2 + 151*c - 152*c + (-c - c + c)*(4 - 4 - c) - 2*c**2 + 1 - 1.\nAnswer: -402*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1.5. Let m = -0.389 - -0.089. Which is the nearest to 0? (a) m (b) r (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 15*p**2 - 2*p + 37. Let y be g(15). Let u be 2\/y + 15910\/(-70). Let w = u - -889. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 2*t, -r = 7*t - 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24 or -13?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njl when three letters picked without replacement from lnlljjllnljl?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 935 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1506 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5771.05758 - 5771. What is b rounded to 3 decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from hhdhsmdms.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -669562, -669941, -670306, -670651, -670970?\nAnswer: -671257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1017*l**3 - 15522*l**3 - 5 + 5.\nAnswer: -16539*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144*j**3*o*w - 47*j**3*o + 2*j**3*w - 2*j**3 - 26*j**2*o - 3*j**2 - 42*j*o*w - 2*j*o - j - o wrt j?\nAnswer: 864*o*w - 282*o + 12*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/(-14)*(-14)\/4. Suppose -12 = -2*j - y. Suppose 31*h - 30*h = j. Solve h*w = 3*b + 13, 4*w - 3*b = -2*b + 21 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9470a + 43?\nAnswer: -946a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - v. Let o(m) = -m**3 + m**2 - m + 1. What is n(r) - 2*o(r)?\nAnswer: 2*r**3 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 287507 + -19 + (-16)\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41032 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5062761 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 9) to base 4.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 455, 444, 423, 392?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/299 or 0?\nAnswer: 8\/299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 39*k = -44*k + 26, -2*k = -x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = 6. Let o(l) = -4 + 6 + 2*l**2 + c*l + 2. What is the tens digit of o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*j - j = -2598, -4312 = -5*s - 4*j. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j**2 + 3*j - 2*j**2 + 5*j - 3 - 1 - j + 11*j**3. Let q = 3 - 10. Let y(m) = 6*m**3 + 4*m**2 + 4*m - 2. Give q*y(c) + 4*i(c).\nAnswer: 2*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280147.33 rounded to the nearest 100?\nAnswer: 1280100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*i = -7*i - 31, 5*a = 3*i + 25. Let u = a + -22. Is u*(2 - 2 - 1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, b: 2, v: 3, p: 5, w: 1, r: 1}. What is prob of picking 3 r and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -4*v**3\/3 - v. Let b(r) = r**2 - 6*r + 2. Let k(z) = 4*z**2 - 12*z + 4. Let a(p) = 2*b(p) - k(p). Calculate t(a(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10789*o - 1320*o + 5446*o.\nAnswer: 14915*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + (-8)\/(-6))*2\/(-10). What is the closest to 0 in g, -2, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-4) + 15\/(-12). Let o be -1 - m - 2\/7. Let g(n) = n - 14. Let j be g(14). Is j at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2 - 4)*(4*h - h**4 - 4*h) - 5*h**2 + 5*h**2 + 2*h**4.\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008633835 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 2, 2*v = -5*n - 659996. What is n rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/294 and -167\/1470?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otttooooktt. What is prob of picking 1 k and 1 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 2, 0.17, -15, -0.3 in decreasing order.\nAnswer: 2, 0.17, -2\/15, -0.3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpf when three letters picked without replacement from {p: 1, f: 5, g: 3, q: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 110*a**3 + 230*a**2 + 10*a - 65. Let r(o) = 10*o**3 + 21*o**2 + o - 6. Let n(t) = -4*k(t) + 45*r(t). Factor n(g).\nAnswer: 5*(g + 1)*(g + 2)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**4\/24 + 3*i**3\/2 - 4*i**2. Let x(r) = 30*r - 187. Let k be x(6). Give t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*b - 47 - 9, 5*b - 15 = 0. Is (-8756)\/(-242) + 2\/d*-1 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*h = 182, -4*s - 3*h = 2*h + 788. Let l = -66 - s. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00429289402 rounded to 4 decimal places?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*m - 5*m + 6 - 6*m to g + i*m and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2)*-6)\/(-1*sqrt(250)).\nAnswer: 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 d, and 1 r when four letters picked without replacement from rqrudrquuqrrur?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1 + g + 1 + 1 - 2. Let z be y(4). Suppose 5*c - z*c - 30 = 0. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 - -92. Which is the closest to 3\/4? (a) 0.1 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**5\/20 - b**2. Let y(c) = -2107*c + 2107*c + 19*c**2. Give g(y(x)).\nAnswer: -1083*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 5)*(-4 - 7 + 33)*(0*a + 0*a - a**2).\nAnswer: 88*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2031233322 (base 5) to base 4.\nAnswer: 33320303211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 421 + -160. What are the prime factors of c?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 566190 and 11889990?\nAnswer: 11889990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50884, 101247, 151610?\nAnswer: 201973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Suppose 0 = -u*i + l + 17, -4*l + 2*l - 19 = -3*i. Calculate the highest common factor of i and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m - 3*m)*(-2*m**2 - m**2 + 2*m**2) - 8792*m**2 + 51*m**3 - 147*m**3 + 8786*m**2.\nAnswer: -94*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 19959*v**3 + 8013*v**3 + 3*v + 6 + 5903*v**3. Let s be o(-2). Round s to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16421912 and -0.6.\nAnswer: 9853147.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1841283 - 2700483. Round d to the nearest 10000.\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 (base 10) to base 12\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Let w(k) = -1096*k + 8769. Let s be w(8). Which is the nearest to -4? (a) s (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 1313290.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7645, -7896, -8147, -8398?\nAnswer: -8649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 5*d + 14 + 28 = 0, -101*d + 98*d - 30 = 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2429*z - 3. Let n(i) = 15654909*i + 19336. Determine 3*n(y) + 19336*p(y).\nAnswer: -2417*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -11*g - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6 = 2*o - 0*o, -4*i - 8 = 0. Suppose -o*r - 17 = r - 4*m, 0 = -2*m + 6. Let h = r - -6. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-648)\/(-756))\/(6\/(-126))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + z - 12, -2*x - z + 3 = 2*z. Which is the closest to x? (a) -0.6 (b) -2\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22, 17, 2, -23, -58?\n\"Answer: -5*h**2 + 10*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2132 + (-3 - -6) + -3*2?\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26479\/39 - 679. Let p = b - 5\/156. Let z = 0.4 + 3.6. Sort p, -4\/3, z, -7 in ascending order.\nAnswer: -7, -4\/3, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20894 divided by -5\nAnswer: -20894\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18910 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197801 is divided by 16483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 - 89. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 8*g**2 + 8*g. Suppose 5*z - 8 - 7 = 0. Let h be (-100)\/(-16) + z\/4. Let v be q(h). Solve 2*l - v = 3*n, 3*l + 12 = -n - 2*n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -100*s**3 + 6435*s**2 - 14675*s + 6510 = 0.\nAnswer: 3\/5, 7\/4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273133 is divided by 436.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j - 3. Let z be 456\/36*((-20)\/(-8) + -1). Let q(d) = 5 - 16*d - 31 + 6*d + z. Calculate 2*q(y) - 5*u(y).\nAnswer: 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 9*n**2 + 6*n - 10. Let q(a) = -a**3 - 9*a**2 - 5*a + 10. Let y(l) = 2*f(l) + 3*q(l). Suppose 0 = -19*t + 8*t - 99. Is y(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let o be t(0). Suppose -a = -3*a, 4*n + 2*a - 52 = o. Calculate the remainder when n is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t + 0 + 0 + 9*t - 2.\nAnswer: 36*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -5 (c) 22.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -693 - -697. What is the remainder when 31 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07213 less than 1896499.4?\nAnswer: 1896499.32787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/(-1525))\/(1\/(-5))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let t be (-4)\/(-1) - (-10)\/(-2) - -3. Suppose -7*f + 6*f + 4*u = t, 5*u - 15 = -5*f. Let s(o) = -f*o + o + 1903 - 1903. Determine y(s(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -34*m - 41*m + 143*m - 37*m - 33*m. Let k(r) = 4*r**2 + 7*r - 5*r**2 - 25*r. Determine k(j(h)).\nAnswer: -4*h**2 + 36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Let l = 10 + -7. Let u = z - l. Which is the closest to -1? (a) u (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1073297627 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2516, 2501, 2486, 2471, 2456, 2441?\nAnswer: 2426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9 = q, x + 2*q = -29. Let g = x - -158. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -437614005*b*n**2 - 25477193*b - 3*n wrt n?\nAnswer: -875228010*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14714244, -29428486, -44142728, -58856970?\nAnswer: -73571212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(19) + -1*sqrt(19))**2*6*-4.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -1\/6*p**5 + 0*p**3 + 0*p + 0 + 13\/24*p**4 - 15*p**2. What is the second derivative of x(h) wrt h?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-1.3.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/21 and -167\/1890?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38.6? (a) 0.7 (b) 2 (c) -2217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1277, -1278, -1279, -1280, -1281?\n\"Answer: -i - 1276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*l*n**4 - 373370*l*n**2 + 2682720*n**5 + 11 wrt n?\nAnswer: 168*l*n + 160963200*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a - a + 193 = 221. Let i = 1 + 8. Calculate the greatest common divisor of a and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12242310 divided by -5.\nAnswer: 2448462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + 2*sqrt(119))*2)\/sqrt(7).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from wwwnwwwwwn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -956 = 5*c - 1006. Calculate the least common multiple of c and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30884 + 132661*f + 30884.\nAnswer: 132661*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + p + 0*p - 17 = 0, g = 4*p + 12. Suppose -2*i + 3*f = -64, 4*f = -3*i + g + 46. Let w = i - 11. Solve 0 = -3*q - 0*q - w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3228, 5510, 7790, 10068, 12344, 14618, 16890?\n\"Answer: -z**2 + 2285*z + 944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61541962 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(432) - -3*sqrt(432))*-3)**2.\nAnswer: 995328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**7\/105 - l**5\/15 - 7*l**3\/3 - 14*l. Let d(u) be the second derivative of t(u). Find the second derivative of d(k) wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (15\/(-3) - 3). Solve -d - h + i*h + 5 = 0, 4*h + 4 = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 5162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + t - 2*t - 3*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1815.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, -5, -17 in ascending order.\nAnswer: -60, -17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3633 (base 7) to base 3\nAnswer: -1211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.79 - 15. Let j = -1656.3 - -1655.8. Which is the smallest value? (a) j (b) -7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*g**2\/5 + 509598*g\/5 + 44964\/5.\nAnswer: 2*(g + 7494)*(34*g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/63 - 74\/(-14). Let d(h) = 2*h**2 - 1. Let r be d(1). Sort s, -2, r in decreasing order.\nAnswer: s, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 916*m - 1580 = 758*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/7, -1 in descending order.\nAnswer: 0, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/18 and 95\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1686, 1689, 1694, 1701, 1710, 1721?\n\"Answer: v**2 + 1685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxmmcrtx. What is prob of picking 1 m, 1 r, 1 c, and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, 9, -6?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -28794?\nAnswer: -28796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*x**2 - 3)*(9154*x + 1816*x + 3289*x + 1584*x).\nAnswer: 31686*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/8802 and 14\/45.\nAnswer: 44010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -46120?\nAnswer: -46121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833140651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**2 + 686*k - 4224. Calculate m(6).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 884080 - 441844 - 17*l**2 - 442236.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + (sqrt(5) - -6*sqrt(20)\/sqrt(4)))**2 - (-1*sqrt(5) + -1)) + 2 + sqrt(20)\/sqrt(4) + (sqrt(40)\/(sqrt(8) - sqrt(72)))**2.\nAnswer: 2*sqrt(5) + 1297\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 567915935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b = -34*b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2.3901232, -2, 0.1.\nAnswer: -5, -2, 0.1, 2.3901232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 10:39 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 25*t**3 + 9 - 11)*(-10 - 10 + 13).\nAnswer: 175*t**3 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v + 2*v + v)*(5 - 4 + 2)*(2*v**3 + 0*v**2 + 0*v**2).\nAnswer: 54*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3834, -3840, -3850, -3864, -3882, -3904?\nAnswer: -3930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/(d**2*d))))**(-4\/7))**(2\/91) assuming d is positive.\nAnswer: d**(16\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2034765630 to the nearest 1000000.\nAnswer: -2035000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4088838 divided by 1691\nAnswer: -2418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/949 at least -0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6956)\/(-799))\/(19*(-18)\/(-2907)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-33\/2)\/(u*u**(2\/43)))\/(u**45)**37 assuming u is positive.\nAnswer: u**(-144699\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 12*a**2 + 11*a - 8. Let u be c(-11). Let h(v) = -7*v - 4. Calculate the remainder when h(u) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5176516.\nAnswer: 2, 1294129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -700, 2\/21, 64, 13, 4\/7, -2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + m - 62 = 0, 4*t = -0*t - 2*m + 64. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -5*r + 2*r. Suppose 0 = -2*t + 51 + 11. Let x = t + r. Solve 2*z + p = 2*p - 3, 4*p - x = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*y**3 + 17*y**2 + 2571.\nAnswer: -168*y**2 + 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/54 - 41477\/(-171). Suppose 0 = -2*i - 4*z + 52, 0*i + 5*i = -5*z + 120. Calculate the greatest common divisor of i and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o - 400 = 0. Suppose 0*c + o = 5*c. Suppose c = 3*w - n, 2*n = -2*w + 7 + 9. Which is smaller: 11 or w?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*h + 14, 5*s + 13 = -5*h + h. Suppose o = h*x + 228, 2*o + 2*x - 110 - 362 = 0. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 2*k. Let a(r) = 3*r**2 - 15*r - 2. What is -a(u) + 5*s(u)?\nAnswer: -8*u**2 + 5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -760 - -765. Let f = 177 - 129. Which is smaller: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -132*x**4 + 2*x**3 - 1025*x - 701156 wrt x?\nAnswer: -528*x**3 + 6*x**2 - 1025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 70033?\nAnswer: -70031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 33*d**2 - 30*d**2 + 19*d**2. Let p(w) = w**2. Give p(v(f)).\nAnswer: 484*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1700)*1)**2 + sqrt(1700))*3*6*6*2 + 3.\nAnswer: 2160*sqrt(17) + 366771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 40*v - 2. Let p be q(2). Calculate the greatest common factor of 1014 and p.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**3 - 67888*x**2 - 407220*x - 610776 = 0.\nAnswer: -16966, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -1 - 2. Suppose 4*z - 4*k = 5 + 3, -h*z + 4*k = -6. Solve z*u + 2*y + 12 = 0, -5*u - 8 - 10 = 2*y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163323160 and 14560.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 179. Let d = -150.0122 - m. What is d rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from ddsdddxdi?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 5*j - j)*(3*j + 10*j - 4*j).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(2\/(-8))\/(24\/36)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**3\/3 + 3*y**2\/2 - 3*y + 1356. Determine q(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z = -170. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*f - 2*f**4 + f**4 + 5*f**4 + 43*f**2 + 5*f**3 - 45*f**2 as n*f**2 + c*f**3 + l + b*f + o*f**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**3 + 21*s**2 + 12*s**3 + 3*s - 14*s**2 - 19*s**3 - 4 to the form w*s**2 + h + i*s + n*s**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zey when three letters picked without replacement from {h: 2, e: 5, x: 1, z: 1, y: 1}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 9:18 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/2)\/(131\/(-393))*(-2)\/(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*v**3 + 48*v + 59 wrt v.\nAnswer: 6*v**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a factor of 87201840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*3*1\/(-4). Suppose 0*g + f*g + 2*i - 322 = 0, -4*g + 431 = i. What is the tens digit of (g\/(-45))\/(1\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/464 and 89\/1184.\nAnswer: 34336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, -2, -23, -44, -65, -86?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10.4, 8, 3, 5?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1764)\/(-96) - 6\/16. Let y = q - 9. Let w = 249 + -224. What is the remainder when w is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24957 and 35767.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + j. Let v(t) = -12*t**2 - 6*t. Suppose 0 = 3*q - 1 - 17. Let p(f) = q*u(f) + v(f). Let r(c) = -c**2. Give r(p(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0 - (-188 + 193)) + 29\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 6, f: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 2*i. Suppose -m = -3*a - 0 - 6, 27 = -i*a - 4*m. Let t(y) = -3*y - 3. List the prime factors of t(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788404 is divided by 135?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 23*o**2 - 48*o + 582. Give h(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 6:07 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 2*z**2 - 3. Let r = 0 + -3. Let p be n(r). Suppose 3*j - j - p = 0. Solve b - 4*y + j = 6, 0 = -3*b + 2*y + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 times -39\nAnswer: -5616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*s**5)*(1 + 5 - 4 + 4 + 0 - 5 + (0 + 3 - 1)*(0 + 1 - 2) - 66 + 44 - 73) + 3*s**5 + 4*s**5 - 5*s**5.\nAnswer: 290*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -113\/4. Let y(b) be the first derivative of -r*b**4 - 2 + 0*b**3 + 0*b + 1\/2*b**2. What is the second derivative of y(m) wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x - 8. Determine h(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 12 = 2*j, -4*j + l + l + 24 = 0. Suppose -2*x = -k - 4, -3 + 8 = -x + j*k. Suppose -15 = -4*p + 5. Sort -2, p, x in increasing order.\nAnswer: -2, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w - 8. Let o be j(6). Suppose -o = -2*t - 3*q - q, 2*t = 2*q + 34. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -534b3e (base 15) to base 16.\nAnswer: -3c7f70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 252 = -90. Calculate the remainder when (3*37)\/((-12)\/(-8)) is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 5*z**2 - 3*z + 7. Determine i(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.38, 15, 4, 4\/19, -1\/5 in decreasing order.\nAnswer: 15, 4, 0.38, 4\/19, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((1414\/126 + -11)*(1 - 49\/(-14)))\/(-7). Let v = -32.9 - -31. Let q = 2 + v. Put q, 5, 13, z in decreasing order.\nAnswer: 13, 5, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/4784*((-455)\/(-63) - 9).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 229.8\nAnswer: 1608.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/40)\/((-2)\/72))\/((-2)\/10).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1586688 = -6*x + 7*x, 4*x = -3*c + 1190029. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = -3*i. Let p = i + -1. Let l(o) = -o**3 + 5*o**2 - 5*o. Let n be l(4). Which is bigger: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 546406*f**2 + 117794?\nAnswer: 1092812*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.356 and -33366.\nAnswer: -33365.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 - 2. Let h = -5.2 - -5. Which is the nearest to 2? (a) u (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**4 - i**2. Let m(y) = -10*y**4 - 2*y**2. Let n be 16\/(-10)*25\/(-10). Let k(d) = n*x(d) - m(d). Find the third derivative of k(j) wrt j.\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**3 + 5*r + 115. Let a(k) = -5*k**3 - 4*k - 115. What is -3*a(j) - 4*o(j)?\nAnswer: -j**3 - 8*j - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48500833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.271 + 296.1495469?\nAnswer: 296.4205469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/3 + 2\/3. Put 3, -3, m, -0.5 in descending order.\nAnswer: 3, m, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*y = -8, 4*n + 5*y + 6 + 20 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32394)\/(-27) - (-4)\/18. Suppose -4*u + u + x = 0. Round u to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**2\/3 - 32214*c - 96643\/3 = 0.\nAnswer: -1, 96643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.16269693 to 2 dps.\nAnswer: -64.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + g**2 - 18*g + 62. What is j(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7903474 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 - 2*x**2 - 4*x**2)*(-4*x**2 + 6*x**2 - 4*x**2) + 21*x**4 + 49*x**4 - 5*x**4 + (-4*x**2 - 2*x**2 + 4*x**2)*(3*x - 3*x + x**2).\nAnswer: 65*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -163602\/5 equal to -32719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 1887 = -17*r, 157*k - 555 = 129*k + 5*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -6. Let x(u) = -u**2 - 8*u + 5. Suppose 8 = -3*q - 16. Let a be x(q). Solve c*v = a*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - v + v)*(6 + 37 + 1) + (-5 + 6 + 5)*(-2 + 1 + 0)*(-v + 2 - 2).\nAnswer: -170*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-163)\/((-15485)\/798)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 5*c - 3. Let a be j(4). Let n(l) = 8*l**2 - 13*l + 13. Let r(y) = 2*y**2 - 3*y + 3. Let u(s) = -2*n(s) + 9*r(s). Determine u(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)*2*-3)\/sqrt(8))\/(sqrt(30)\/(1*sqrt(5)) + sqrt(216)\/sqrt(4)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -10*h**7\/7 + 2*h**3\/3 + 7. Find the third derivative of v(w) wrt w.\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7396?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 14842, 40 in descending order.\nAnswer: 14842, 40, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-5)*r**2*r*r)**(1\/3)\/((r\/r**(1\/4))**8)**(16\/3) assuming r is positive.\nAnswer: r**(-95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(7920\/5))\/(2\/29444). Let j = r + -217\/8. Find the common denominator of 5\/3 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/143? (a) 0.1 (b) -2 (c) -3\/41 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 459*v**2 - 472*v wrt v?\nAnswer: 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (26 - (-17 + 33))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**3 - 144*c**2 - 324 wrt c?\nAnswer: 6*c**2 - 288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 5:42 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0282 from 0.56.\nAnswer: 0.5318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 646 - 647. Put 2, -10, 1, m in decreasing order.\nAnswer: 2, 1, m, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18543, 19028, 19513, 19998?\nAnswer: 20483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878237?\nAnswer: 17, 19, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p - 7 = -19*p. Suppose 140 = 6*h - 2*h. What is the lowest common multiple of p and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5093?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y**2 + 0*y)*(0*y**2 - 4*y**2 + 2*y**2) + 0*y**3 + 0*y**3 + 2*y**4 + 5*y**4 + 0*y**4 - 2*y**4 + (4*y + 2*y - 5*y)*(2*y**3 + 16*y**3 + 8*y**3).\nAnswer: 35*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -17. Factor -5*d**2 - d - 5*d**3 + d**4 + 0*d**3 - q*d + 4*d**3.\nAnswer: d*(d - 3)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 84*d**2 - 960*d - 1600.\nAnswer: -2*(d + 2)*(d + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 2\/3, -3, 0.2753, 1\/16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4756, -4754, -4732, -4684, -4604?\n\"Answer: d**3 + 4*d**2 - 17*d - 4744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 902 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffff. What is prob of sequence fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 71709085*u - 71709086.\nAnswer: (u - 1)*(u + 71709086)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.42 + -564.58. Let f = -582.11 - g. Let a = 9.5 + f. What is a rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6388974336.\nAnswer: 2, 3, 8318977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87932 and 2492?\nAnswer: 615524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -3*w + 2*w - 578. Which is bigger: -506 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/4 - 43*r**3\/4 + 551*r**2\/4 - 1805*r\/4.\nAnswer: r*(r - 19)**2*(r - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/16 + 6\/(-24). Let q(z) = 1. Let n(o) = 5*o**2 + 4. Let g(k) = -6*k**2 - 4. Let t(f) = -3*g(f) - 4*n(f). Let r(w) = 4*q(w) + t(w). What is r(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -217 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75928 by -61.\nAnswer: -75928\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-216))\/((-12375)\/792)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5292 = -169*k + 85*k. Solve 0 = 13*b - k - 15 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 31 = 4*j, 0 = -3*j + 3*f - 155 + 125 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*o - 1 = 0, 14*o = -2*x + 13*o - 19 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14116312 and 784.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/17)*z**(3\/19))\/((z*z\/(z**(-15)\/z))\/z)**(-8\/3) assuming z is positive.\nAnswer: z**(43967\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*a - 132*a - 21 = 0. Put a, -2, -4 in increasing order.\nAnswer: a, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 363?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12542 divided by 2?\nAnswer: -6271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.36845 and -4341.05.\nAnswer: -4334.68155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/60)\/((-1)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 17*k + 3. Which is the biggest value? (a) 0.1 (b) 1.58 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -7 (b) 4 (c) 0.02 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003803544 rounded to six decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.613 * 0.06\nAnswer: 0.09678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1943, -1919, -1881, -1829?\nAnswer: -1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.02 (b) -14 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 963744 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -479 * -18\nAnswer: 8622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1346, 5336, 11972, 21248, 33158, 47696, 64856?\n\"Answer: -b**3 + 1329*b**2 + 10*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10159.8 rounded to the nearest one hundred?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w - 5245 = -5*l, -3*w + 2*l = -3142. Suppose 28*u = 32*u - w. Let n = u + -171. List the prime factors of n.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a century in decades?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6566, -6561, -6554, -6545, -6534, -6521, -6506?\nAnswer: -6489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*p = -197 - 167, -4*u - 352 = 4*p. Let f be -3*(-3)\/u*4. Let y = 15 + -10. What is the nearest to f in -0.3, 4, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**4 + 3*i. Let v(y) = -y**2. What is l(v(f))?\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, w: 1}. Give prob of sequence cc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1319, -2351, -3383, -4415, -5447?\n\"Answer: -1032*v - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 106*j**3 + 3*j**2 + 3. Let p(s) = -s**2 - 1. Determine 3*p(u) + w(u).\nAnswer: 106*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -1 + 11 + -6. Let f be 2\/(-8) + d\/(-4). Let n be f\/8 - (-1)\/(-12). Is 0 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4937 + 6045. List the prime factors of w.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -554 - -1684\/3. Solve 20\/3*v**2 - 2*v + x*v**4 - 2*v**5 - 92\/9*v**3 + 2\/9 = 0 for v.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 - -86. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 195875*r**3 + 98873 wrt r?\nAnswer: 587625*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -585 and 4.\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 q when four letters picked without replacement from {h: 3, c: 3, q: 2}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2 = -2*f, 0 = -5*f - 5*a - 0 + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 7 = -9. What is the least common multiple of 7 and (6 - -4) + -4 + j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 15*y**2 + 23*y - 17. Let i be j(16). Suppose 0*q = 5*q - i. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1191 + 589 - s - 166*s**2 + 2*s - s**4 - 6*s**3 + 603 + 34*s**2 to the form q*s**4 + f*s + b*s**2 + c + t*s**3 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 148067 (base 10) in base 2?\nAnswer: 100100001001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -38, 292 in descending order.\nAnswer: 292, -38, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 5 (b) -4\/3 (c) -0.73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 7*c**2 - 6*c - 7. Suppose -3*g - 3 + 12 = 0. Suppose -g*k = 2*k + 35. What is the tens digit of a(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 62.32 (c) 160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1*1\/(-7)). Are 6 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4180 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-15 - -6) + (1 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 8, -13, -34, -55?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y = 0. Let i(m) = 12*m - 67. Let w be i(6). Suppose 0 = -w*k + 7 + 18, f + 4*k - 50 = y. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/6 + f**3\/3 + 6*f**2 + 5*f. Let w(u) be the first derivative of t(u). Suppose 3 = h - 0. What is w(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 26*o + 5. Let s be y(13). Solve -5*n - 4*i - s = i, 0 = 3*n - 5*i - 29 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23641481 less than or equal to -23641481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 371.043522 take away 44.9?\nAnswer: 326.143522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11478771, 22957545, 34436319, 45915093, 57393867, 68872641?\nAnswer: 80351415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1433049 greater than 198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -1, 2, 883, -3 in ascending order.\nAnswer: -3, -1, 2, 14, 883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-185)\/740*11\/(55\/(-12)))\/(2\/(-40))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 862264347 to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from qgxxckqjxjqcxgq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**5\/30 + 2*m**3 - 4*m**2. Let b(p) = -28*p - 24*p + 83*p - 29*p. What is b(i(u))?\nAnswer: 4*u**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3859, -4, -103 in decreasing order.\nAnswer: 3859, -4, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**6\/240 - 11*i**5\/240 + i**4\/16 - 52*i**2 + 2*i. Factor h(j).\nAnswer: -j*(j + 6)*(2*j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**3 + 5628*f**2 - 2570700*f - 64980000 = 0.\nAnswer: -24, 950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from attottntttttattzzott.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3240*l**2 + 17*l - 53. Let w be a(4). What is the highest common factor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12)*-1*19\/(399\/(-6))*-27?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1785422*o**2 + 1785419*o**2 + 1785427*o**2 - 5356268*o**2 - 4*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -924474381.\nAnswer: 924474389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212202310 - -10?\nAnswer: 1212202320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 11145*i + 11140.\nAnswer: 5*(i + 1)*(i + 2228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**2 + 11*i**2 + 8 - 56*i - 8.\nAnswer: -2*i**2 - 56*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81956?\nAnswer: 2, 7, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1885, 0, -5, -2 in ascending order.\nAnswer: -1885, -5, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4760052*o**3*s**2*v + 145*o**3*s*v + 2*o**3*v - 2*o**2*s + 3*o**2 + 2*s*v + 75 wrt s.\nAnswer: 9520104*o**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and -26410?\nAnswer: -4489.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49437780 and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*a - 326*a + 9157 - 22128 = 0 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmaaa. What is prob of picking 1 a and 2 m?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 17, k: 2}. What is prob of picking 4 d?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**2\/7 - 7218*i\/7 - 5095788\/7.\nAnswer: 6*(i - 1702)*(i + 499)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 711 = 12*v - 225. Is 52\/v - (-39650)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4132352568 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677637 is divided by 224086?\nAnswer: 5379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 30 = 3*b, 25 = b + 2*b - 2*i. Let j be (8\/(-20))\/(-1*1\/b). Solve -2*c = -0*c + j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6365 is divided by 76?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**5*v - 464461*b**2*v - 735299*b - 4*v wrt b?\nAnswer: -20*b**3*v - 928922*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 3.044, 13, 30.7, -0.4?\nAnswer: 3.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.196934 to 3 dps.\nAnswer: 2.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/186 - (-1 + (-7)\/(-18))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*y - 88 + 728 = -606 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 24637251 and -26104.\nAnswer: 24611147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 divided by -43?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + -3 + sqrt(425) + (3*sqrt(425) - sqrt(425)) - (sqrt(425) + (sqrt(425) + 2)*2)) + 2)**2.\nAnswer: -50*sqrt(17) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/3338650 and 63\/268522850.\nAnswer: 1879659950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 + 77 - (-2 + 1 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2511 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/47 - 593\/1974. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 - 8*k + 8. Let u(s) = -s**2 + 5*s - 2. Let b be u(2). What is the least common multiple of z(b) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3399622842 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20145, 80831, 181975, 323577, 505637?\nAnswer: 728155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36564568, -36564564, -36564560, -36564556?\nAnswer: -36564552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -11. Suppose -5*u = y + 2*y + n, -2*y + 2*u + 22 = 0. Solve 4*w = 2*w - y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19020492 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 14 = 4*h, -3*b - 2 = -2*h - 2*b. Suppose -r = 4*m - 4, 4*r + 3 = 3*m + h*r. Solve 0 = 6*a - 5*a + m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/7 and 51\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, 12, 44, 100, 186?\n\"Answer: w**3 + 3*w**2 - 2*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -20, 279379?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.48 - 14.48. Let g be 5\/(-35) + (-4)\/14. Let w = -1 + -1. Sort w, x, g in descending order.\nAnswer: g, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*r = 12*p + 102, 13459 = -p + 2*r + 13501 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44583875 and 1450?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - f + 1. Let n(j) = 7*j**3 + 34*j**2 - j + 1. Give i(c) - n(c).\nAnswer: -7*c**3 - 33*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from uuwuwuuuuuuuuuuuuuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6752104?\nAnswer: 2, 844013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1323 - 1323.2. Sort m, -2, -0.1, -84 in descending order.\nAnswer: -0.1, m, -2, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:56 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 1581.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 348332671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -206.8 + 206.7. Sort 2\/9, -0.4, 0.5, r in ascending order.\nAnswer: -0.4, r, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*(sqrt(1900) + -1)*5)**2*5.\nAnswer: -135000*sqrt(19) + 12831750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 59*f - 3392. Give h(-37).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i**3 + 3*i**2 + 3*i. Let f(z) = -36*z**3 - 16*z**2 - 15*z. Calculate -2*f(w) - 11*x(w).\nAnswer: -5*w**3 - w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from {d: 4, e: 2, c: 4}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 20. Let d(v) = -v - 1. Suppose 3*f - 30 = -t, 7*t - 3*f = 3*t + 150. Let a(i) = t - 22 - 5*i + 0*i - 21. Give u*d(l) + a(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 780\/48*(-10)\/(50\/(-1))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(6*v**2 - 5*v**2 + 0*v**2) - v**2 + 0*v**2 + 0*v**2 + (3*v - 3*v + 2*v)*(-v + 0*v - 2*v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784) + (sqrt(784)*-2 - sqrt(784)) + sqrt(784) + sqrt(784) - sqrt(784))\/((-1*sqrt(63) - sqrt(7)) + sqrt(7)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 20*m + 20. Let l(j) = 51*j + 39. Let k(v) = -5*a(v) + 2*l(v). Calculate k(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 25 = 225. Suppose -14 = 14*a - 15*a. Suppose -7*h + a = -525. What is the remainder when h is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Let o(k) = 2*k**3 - 3*k**2 + k - 1. Let v be o(u). Suppose v*m - 23 = -n, -n + 7 = 2*m - 4. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-54) + 404\/504*2.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52211\/3039 or -17?\nAnswer: -52211\/3039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**5 - 51805*n**4 - 465970*n**3 - 1345880*n**2 - 1242240*n = 0. Calculate n.\nAnswer: -10352, -4, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.059\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 30*w + 136. Is a(30) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143*r**2 - 9*r**2 + 257*r**2)*(1 + 1 - 3)*(-14 + 21 + 13).\nAnswer: -2100*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 11 = 4*z, 0*z + 3*a = -2*z + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2813 - -2812.99. Sort -0.07, -1\/2, -3\/4, i, 4.\nAnswer: -3\/4, -1\/2, -0.07, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from {s: 5, q: 2, n: 3, g: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 61. Calculate the greatest common factor of 14 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u + 542 = -151 + 189 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 3*u**5\/10 + 5*u**4\/12 - 4*u**3\/3 - 41*u**2. Suppose m(s) = 0. Calculate s.\nAnswer: -1, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o**(-24))*o*o*o**(-3))\/((o\/(o*o**24\/o*o))\/o*o\/(o**(8\/13)*o)) assuming o is positive.\nAnswer: o**(619\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1236772 and 34.\nAnswer: -42050248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**3 - 10*z**3 - 10*z**3 - 17*z**3.\nAnswer: -25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2112 - 33?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4\/13 (b) -1\/4 (c) 1 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/15)\/(4\/(-10)). Suppose -n*z = 5*f - 1147, 2*z - 5*z + 889 = -2*f. What are the prime factors of z?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 43, 132, 257?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(252) + 1 - sqrt(252))*-6 - sqrt(252))**2.\nAnswer: 72*sqrt(7) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 136 and 431428.\nAnswer: 58674208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-4)\/((-2)\/2). Suppose 0 = -3*d + 14*f - 13*f + 131, 2*d + m*f = 64. Let g = 14 + -8. Calculate the highest common divisor of g and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvmvvnmvnvmmvv. What is prob of sequence mnnv?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 11*o**2 - 5*o + 19. What is c(12)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -3 - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 i when four letters picked without replacement from vvvvvivvvvvvvvv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1\/242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1\/z)\/(z**(2\/9)*z))\/(z**6\/((z*z**(2\/3))\/z))*(z\/(z**(4\/3)\/z)*z**(-8))**(2\/11) assuming z is positive.\nAnswer: z**(-71\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -3*x + 3, -5*b + 3*x = 7*x - 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000035198 to six decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2932, 2937, 2942, 2947?\n\"Answer: 5*f + 2927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-180) + ((-2492)\/36 - -4). Let a = -85 + 33. Let u = a - y. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001334309 to 7 dps.\nAnswer: -0.0001334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1824189 and 2451?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*(-1)\/(-2) + 554. Suppose 547*n = d*n - 6. Solve -n*s = 9 - 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*b - 31. What is the units digit of (-1)\/(3\/(-3))*b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 15*o**2 - 53*o + 14. What is h(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1534762000 to the nearest 1000000.\nAnswer: -1535000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.016 - 5.116. What is the closest to x in -1, 35, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 266 = 12*x, 199*x - 215 = 190*x + 4*o for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2493 - -8)*(5328\/(-220) - 34\/187)?\nAnswer: 2, 7, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - k**2 - 10 + k**2 + 26*k. Let d(u) = u**3 + 50*u**2 + 139*u - 82. Let m be d(-47). What is the lowest common multiple of z(m) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d - 600 = 23*d - 17*d for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-369)\/(-16) + 174\/(-2784). Let c(k) be the second derivative of -1\/6*k**6 + 5\/6*k**3 - 5\/4*k**4 + r*k + 3\/4*k**5 + 0 + 0*k**2. Factor c(a).\nAnswer: -5*a*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 90 = 3*t - 7*o, 5*o - 15 = 0. Let z be (-4)\/t + (-426)\/(-42). What is the greatest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128 + 128.1. Put 4, r, 5 in decreasing order.\nAnswer: 5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yd when two letters picked without replacement from {m: 1, y: 3, d: 1, x: 1, o: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 419609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 + 5.91. Let g = -8 + o. Let f = 0.46 - 0.16. Which is the biggest value? (a) 0.4 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*m, a + 2*a - 3*m = 1722. Let z be (-20)\/(-4)*448\/35. What is the greatest common factor of a and z?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 3 - 35 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -151446, -302953, -454482, -606045, -757654, -909321, -1061058, -1212877?\n\"Answer: -2*j**3 + j**2 - 151496*j + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 611 and 904046.\nAnswer: 42490162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*o + 1401, -5*x - 9*o + 14*o = -6985. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 896 and 5670.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 430, 0, 7, -24, -2\/9.\nAnswer: -24, -2\/9, 0, 7, 430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 33 = s, 486 = -s - 16*h + 409 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is adb150 (base 15) in base 4?\nAnswer: 133213300110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)\/(z*(z*z**(-12)\/z)\/z))\/(z**14*z*z\/z**3*z*z) assuming z is positive.\nAnswer: z**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032328993.\nAnswer: 43, 24007651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19757400 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14803, 58895, 132273, 234937, 366887, 528123?\nAnswer: 718645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**4\/6 + l. Let x(d) = -d. Let i(s) be the first derivative of s**2 + 3. Let y(w) = i(w) - 3*x(w). What is y(n(j))?\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pygyvyppggkyp. Give prob of sequence vpy.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37225051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3 + (-5 + 0 + 3)*(2 - 5 + 2) + 1 + 3 - 2 - 2 + 0 + 4 + 4 + 3 - 5)*(u + 5*u + 0*u).\nAnswer: 42*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -299 - -305. Suppose -3*t + 12 = -r. What is the remainder when 59 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 107 + -121 - (-4 + (-94 - 6)) - 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9884? (a) -2 (b) 2\/17 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = -4*h, -3*f + 0*f + 25 = h. Let r = f - 6. Suppose -12*y - 11*y = -53*y + 60. Solve r*w = y*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4559? (a) 0.4 (b) 3 (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -0.54 (c) 0.2 (d) 4 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**6\/10 + 3*h**5\/25 - 3*h**4\/10 - 2*h**3\/5 + 3*h**2\/10 + 3*h\/5 + 32. Factor b(m).\nAnswer: 3*(m - 1)**2*(m + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c - 4*v = -23, 3*v + 2 = 2*c. Solve 1 - c = 3*t, 0 = 4*h + 2*t - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 11*x - 4. Let q(u) = u**2 - 10*u - 4. Let w(j) = 2*f(j) - 3*q(j). Let y(h) = -11*h**3 - 192*h**2 - 85*h + 8. Let t be y(-17). Determine w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(175) + sqrt(175) - (-1*sqrt(175)*6)**2) + 3 + -1 + 5.\nAnswer: -6293 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.067 and -389.\nAnswer: -3138.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 + -218.214.\nAnswer: -199.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + c**2 + 3*c**2 + 3*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35875, -143489, -322845, -573943, -896783, -1291365, -1757689?\nAnswer: -2295755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 9) in base 14?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 1.2.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 + (-119022)\/11460. Let r = -60\/191 + s. Calculate the common denominator of r and -85\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 7*n**3\/3 - 93*n**2\/2 - 17*n - 2. Let r be j(7). Solve 4*i - 2*m + 5 = -5, i - r*m = -7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, 233, 1117, 2663, 4991, 8221?\nAnswer: 12473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-48)*23562\/4620.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1\/69442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 10:51 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -23*b**7\/7 + 26*b**3\/3 - 18. What is the third derivative of h(n) wrt n?\nAnswer: -2760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - h - 6*h)*(-4*h**3 - 93*h**4 + 90*h**4 - h**3) + 6*h + 40*h**5 - 6*h.\nAnswer: 46*h**5 + 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 41. Sort -5, d, 2, 0 in increasing order.\nAnswer: -5, d, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 50345*v - 100743*v + 50303*v. Let a(j) = -4*j**2. Determine a(x(h)).\nAnswer: -36100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**8\/840 + k**7\/210 - 7*k**3\/3 + 4. Let r(g) be the third derivative of w(g). Solve r(q) = 0 for q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4166193 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1610 - 28835\/18. Find the common denominator of f and -49\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 3*j + 7. Calculate the remainder when x(7) is divided by (-3 - -3)\/(-4) + 1*20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5461, 5402, 5285, 5080, 4757, 4286?\nAnswer: 3637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10861 - -10885. Let d = -31.9 - -56. Let w = z - d. Are w and -1.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 313536 times 0.7\nAnswer: 219475.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.2. Let d = 0.1 - o. Let m be (-4)\/6*(-1 - 2). Which is the nearest to 2? (a) m (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or -14681?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77d1a1 + 5?\nAnswer: 77d1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72254847.\nAnswer: 3, 7, 53, 64919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 36 + -36 + (-43 - 11).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 651140851 and 11162?\nAnswer: 5581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 1\/2*t**2 + 0*t - 1\/4*t**5 + 1\/4*t**3 - 1\/2*t**4 + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q**2 + 1. Let c be a(-1). Suppose -160 = -5*x + x. Suppose -w = -2*h + 1, 5*w - x = -5*h - 0*h. Sort c, 2, w in descending order.\nAnswer: w, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21.535 and 0.188?\nAnswer: 21.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = d - 21, -3*r - 15 = -5*d + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*g - 68182, -4*u + 16323 = 3*g - 85935. What are the prime factors of g?\nAnswer: 2, 17047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-476)\/(-252)*(-9)\/2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 5*c + 107 = 0, -4*i - 4*c - 389213 = -389137 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**3\/3 + 13*o**2\/2 - 12*o - 9. List the prime factors of w(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/12*48600\/(-3564)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 4*l + 4. Let x be (8\/10)\/((-2)\/(-5)). Suppose 5*j = -2*k + 4 + 1, -x*j - 22 = -4*k. Is 9 a factor of y(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -89*k + 447. What is the remainder when i(-11) is divided by 102?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 - 14\/10. Let i be -2 - ((-11)\/13 - 1). Sort v, i, -4.\nAnswer: -4, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 5:28 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -1, 4, 3, -2, -53 in decreasing order.\nAnswer: 4, 3, -1, -2, -53, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 324 or 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 0 + 3*f**4 - 4*f**2 - 4\/5*f**5 - 9\/2*f**3 + 0*f. Let s(h) = 0. Calculate h.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10446, -9629, -8812, -7995?\n\"Answer: 817*w - 11263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**2 + 13*x - 13. Let n(c) = 5*c**2 + 12*c - 12. Let o(l) = -6*d(l) + 7*n(l). Suppose 2*m + 3*u - 7 = 20, 0 = 3*m - u - 13. Calculate o(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-2 + (-5)\/(-2)). What is the second biggest value in -0.3, c, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -102, -2, 75 in increasing order.\nAnswer: -102, -2, 0, 6, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2601 divided by 6\nAnswer: 867\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 69*t**2 - 50*t**2 + 172*t**2 as u*t**2 + f + n*t and give u.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 648 = -8*f. Let v = -88 + f. Which is bigger: -11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 0. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-189)\/(-637) + -7 + 96\/14.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 693 + -477. Suppose 4*r - w = -4*r. What is the second derivative of -44*g + r*g + 31*g**5 + 28*g + 13*g wrt g?\nAnswer: 620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzkz when four letters picked without replacement from pkkikzikk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32.9 + -32.6. What is the nearest to 0.4 in q, -1, -2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3325 = -5*s + 9689, -2*s + 2542 = 2*l. Let h be s\/6 + 245\/(-105). What is the greatest common factor of h and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010110 (base 2) in base 7?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2) + 1 + 5)*-6 + 1*((-1 + sqrt(243)*1)*-2)**2.\nAnswer: -84*sqrt(3) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11a (base 14) to base 16\nAnswer: dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 248 + -192. Is f at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*v**5\/7 - 74*v**4\/7 - 270*v**3\/7 - 190*v**2\/7 + 396*v\/7 + 144\/7 = 0. Calculate v.\nAnswer: -6, -4, -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23878, -23880, -23882, -23884, -23886, -23888?\n\"Answer: -2*p - 23876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*l + 15*l - 55*l to x*l + o and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2014 - ((-18)\/(-153) - 416\/68).\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 + 143. Suppose 3*x - 194 = i, 0 = x - 0*i - i - w. Suppose -5 = -l + 16. Calculate the highest common factor of x and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p - 15*p - 16*p - 16*p to t + b*p and give b.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 7*y**2 - 4*y + 7. Let n be v(6). Suppose n = 4*p - 137. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 10*r + 308 = 0. Find the common denominator of (-8)\/r*66\/(-8) and 63\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 - (161\/14 - 2). Sort 1, -4, r in descending order.\nAnswer: 1, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-291)\/(-1) + 30\/(-24)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q - 7. Let o be j(2). Suppose 61 = 4*h + o. Solve -4*s - 4 = -4*l, 5*s + h = s - 5*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1212220 (base 3) to base 7\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31299 divided by 1?\nAnswer: 31299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, c: 3, x: 3}. Give prob of picking 1 g and 2 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13838 is divided by 301.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14, 5, -4, 33, -1 in descending order.\nAnswer: 33, 14, 5, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 45, 150, 349, 672?\n\"Answer: 5*s**3 + 2*s**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420 = 7*x - 2863. Is x greater than 349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, g: 1, c: 3, f: 1, o: 3, d: 2}. Give prob of sequence fodw.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**11\/w*w*w\/w**6)\/(w**(3\/2))**(-6\/17) assuming w is positive.\nAnswer: w**(111\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -43, -2, 13521?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - q - 7 - 9 = 0, c + 2*q = 4. Suppose -125 = -x + 399. Suppose 8*j - x = c*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**5\/60 - k**4\/12 - k**3\/6 + k**2 - 2*k. Let o(g) be the first derivative of m(g). Is o(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 64*r = 38 + 172 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 = 8*a - 4*a. Suppose -4*w - 74 = -3*s, -s + 5*s - 4*w - a = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 7. Let t be a(0). Let s(m) = -m**3 - 7*m**2 - 7*m - 15. Let l be s(t). Let h = -5 + l. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let q(n) = -94*n**2 - 38*n + 2. Give p(q(i)).\nAnswer: 188*i**2 + 76*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 274, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {f: 4, m: 3, s: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 4:21 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-21))\/4*7. Suppose -k*w = 5*s - 28, -3*s + 3*w = s - 4. Solve 2*m - 3 - 5 = a, 0 = 5*a + s*m - 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.21 - 4.79. Which is the closest to -1\/3? (a) d (b) 0.5 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2953 = -3*m + 4*w, -9*w + 1970 = 2*m - 11*w. What is the greatest common divisor of m and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 40*b**2 - 40*b + 41. Let q be u(39). Suppose -3*s = 5*p - 8, 0 = 3*s + q*p - 0*p - 14. Calculate the smallest common multiple of 15 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38800156.\nAnswer: 2, 9700039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2016 = -4*q. Suppose 743 = -223*v + q*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5526892.922966?\nAnswer: -5526889.922966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4037?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 3*l + 4. Give y(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 473035400 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247986?\nAnswer: 2, 3, 23, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let v be p(5). Suppose b - 25 = -5*z - 2*b, 2*z = -3*b + 19. Let j be (-15)\/(-12)*16\/2. Solve -5*r = 5*g - 20, v*r - g = -z + j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f = -0*f - 144*f. Put 78, 7, -1\/4, f in decreasing order.\nAnswer: 78, 7, f, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 135250?\nAnswer: 135250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12020110 + 11011120?\nAnswer: -1001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78038767, 78038762, 78038757, 78038752, 78038747?\nAnswer: 78038742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-45)\/20)\/((-6)\/16). Suppose -m - a + 15 = 0. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 509495193 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 4:25 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43, -97, -225, -457, -823, -1353, -2077, -3025?\n\"Answer: -5*g**3 - 7*g**2 + 2*g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + 138289?\nAnswer: 138275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h - 3*h, -4*d + 5*h + 227 = 0. Is d at least as big as 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2844928 is divided by 222?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-40)\/12)\/(16\/(-24)). Suppose -l*h - 148 = -4*s - 788, -600 = -5*h - 4*s. Does 31 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*-2*1\/(-2). Let m = 5 - x. Let l = -16 - -24. What is the lowest common multiple of m and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 39*x = -846. What is the highest common divisor of 705 and x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 980 and 147910.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -458 divided by 458\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 7*c**2 + 4*c**2 - 4*c**2. Let m(k) = -k**2. What is z(m(i))?\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, s: 2, j: 2, u: 3, k: 4, l: 3}. Give prob of sequence jlup.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -m - 3*t, 0 = 2*m + m - 2*t - 10. Let u(c) be the first derivative of 2*c - 1\/4*c**4 + 1\/3*c**3 + 0*c**2 - 3. What is u(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26749, 106996, 240735, 427960, 668665, 962844, 1310491, 1711600?\nAnswer: 2166165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*o - 1)*(-5*o**3 + 3*o**3 + o**3) + 311*o**4 + 329*o**4 - 196*o**4 as f*o**3 + u*o + d + s*o**4 + y*o**2 and give s.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1059 - -1510. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, -30, -10, -13.\nAnswer: -30, -13, -10, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -631*g - 107*g - 1526*g - 451*g in the form a + c*g and give c.\nAnswer: -2715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 463641, 463905, 464617, 465999, 468273, 471661?\nAnswer: 476385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h. Let x(y) = 0*y + 39*y**2 - 44*y**2 + 0*y. Calculate v(x(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21\/52 - 17\/26. Which is the smallest value? (a) -5 (b) 8\/11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*-2*(-1)\/(-1)*-12 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -0.4 (c) 1\/4 (d) -2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -6. Let b = 2884 - 1602. Suppose r + 11816 = 2*k - b, 0 = 5*k + d*r - 32715. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250298, -500598, -750898, -1001198?\nAnswer: -1251498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.007069 * 0.03.\nAnswer: -0.00021207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -7. Is (0 - w) + 3\/(-1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62757344*v**5 + 50939897*v wrt v.\nAnswer: -1255146880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a*((a\/((a*a*a**(-3)*a)\/a))\/a)\/a)\/a*a)\/a)\/a)\/a**(1\/12))\/(a**(-1\/2))**(-2\/61) assuming a is positive.\nAnswer: a**(-805\/732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3892430 is divided by 256?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24024 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4535, 9103, 13669, 18233, 22795?\nAnswer: 27355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 822 = -4*l, -l - 2*l + 614 = 2*x. Suppose 4*k + 195 = y - 15, l = -4*k + 2*y. Let q = k - -84. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y + 9. Let r be p(4). Let c = r - -11. Calculate the lowest common multiple of 20 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3883 divided by -4\nAnswer: -3883\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**6\/40 - g**4\/24 - g**2 + g. Let w(s) be the first derivative of l(s). What is the second derivative of w(n) wrt n?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5086 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*s + 522 = -815*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 0*j + 4\/3*j**3 - 4*j**2 + 35. Factor l(k).\nAnswer: 4*k*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -12*m**3\/7 + 650859646*m**2\/7 - 8825380753912640*m\/7 - 1470896810398208\/7 = 0?\nAnswer: -1\/6, 27119152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 7. Let u be 2\/(-3) + (-21)\/9. Let q be c(u). Let n = q - -6. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o + 15*o + 397 - 13*o**2 - 400 + 15*o - 40*o.\nAnswer: -13*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + g = 22 - 0, -2*g - 4 = 0. Let w be (-19)\/(-5) + -4 + 0. Let h = -381 + 381.4. What is the second biggest value in d, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 9*b + 172. Let x(o) = -5*o**2 - 31*o - 510. Let l(j) = -3*x(j) - 8*z(j). Give l(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.36 (b) -8\/7 (c) -1\/3 (d) 3 (e) -9 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 19*u - 84. Suppose 8 + 113 = 11*w. Calculate the remainder when 93 is divided by b(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*u - 0. Suppose 3*d = 4*o - u, -4*d + 8 = 2*o - 0. Solve 4*t = -7 - d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -5, 6*c - 2*c - 5*p = -9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/113 and 73\/13656585?\nAnswer: 1543194105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132030 (base 4) to base 9.\nAnswer: -2576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1. Let t(u) = -2*u - 5. Let r(p) = -4*g(p) + t(p). Let x be r(-7). Solve -3 = 4*m + x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1100) + 0 + 0 + sqrt(1100))**2 + -1.\nAnswer: 4399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*c - 7 = 892, 0 = -2*d - 4*c + 1770. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 942500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, a: 5}. Give prob of sequence al.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25\/2 in -1\/4, 3\/5, 0.087, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -75996*n - 227655. Give s(-3).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2318346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 85 - 58 = 0. Sort -5, -1, a, -2 in decreasing order.\nAnswer: a, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147725398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-54)\/9)*9753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -45*t**2 + 35473*t - 10251. Determine g(788).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 (base 6) in base 5?\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4146 - -4110. Put k, 61, 2 in ascending order.\nAnswer: k, 2, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3646 - 22) + 1*0\/(-2). Suppose -f = 12*a - 11964. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**3 + 13*i**3 - 46*i**3.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 6, 4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 8*b - 2. Let q be r(-9). Let l be (-62)\/(-4) + -5 + 2\/4. Let s = q + l. Calculate the greatest common divisor of 27 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**3 - 14430*z**2 - 115200*z - 230240 = 0.\nAnswer: -2878, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*z + 3. Let m = 126 - 129. Let w = -68 - -63. Sort m, z, w in increasing order.\nAnswer: w, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132 + -47. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 641397162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + sqrt(84)\/sqrt(2))*-1 + -2*sqrt(6048))\/((-1*sqrt(66)*1)\/sqrt(11)).\nAnswer: 26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 131, 330, 665, 1136, 1743, 2486, 3365?\n\"Answer: 68*r**2 - 5*r + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27966 at most as big as 27954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 4510255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 89.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 4*h + 60, 89*h - 167*h + 85*h = m - 66 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -5*c**4\/12 + c**3\/6 - 9*c. Find the second derivative of g(k) wrt k.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10*q + 30*q - 42*q**2 + 305 + 96*q**3 - 307. Let d be p(-21). Round d to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2403885 is divided by 2403837.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/20 and (-1395)\/(-155) - 1305\/142.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 - -39. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 21 = -4*p, -4*p = -3*g - 21. Let f be (4\/6)\/((-6)\/9). Suppose -5 = -2*q + 1. What is the closest to f in g, q, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*s - 0*s. Suppose -19 = -2*h + 5*z + 10, 5*h + 4*z + 10 = 0. Let p = h - s. Are p and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*c + 11, -1725*c = -1726*c + j + 3. Solve -r - 4*d = -5, 3*r - c*d = -5*d - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*s - 66 = g, 2*g - 48 = 3*s. Let k be (-50)\/(-4) + (-1)\/2. What is the highest common factor of k and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(sqrt(130) - sqrt(130)*1))\/((sqrt(490) - (sqrt(490) - sqrt(490)*-2) - sqrt(10)) + sqrt(10) - 4*sqrt(90)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 4*l. Let o(a) = -2*a**2 + 7*a. Let d(v) = 4*o(v) - 7*z(v). Let r(j) = -8*j**2. Calculate 14*d(x) - 2*r(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**2 + 140*z - 418. Determine s(3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 0 - -7 - ((1 - 3) + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2514218 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -9. Which is the closest to x? (a) 4 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38062, -38054, -38020, -37954, -37850?\nAnswer: -37702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-588)*-14)\/((-2)\/(-56))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -2279*o**6\/120 + 323*o**3 + 2280*o**2. Find the first derivative of m(y) wrt y.\nAnswer: -6837*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, f: 5, h: 1}. What is prob of sequence afhf?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 223*u**7\/210 + 209*u**4\/24 - 503*u**2. What is the second derivative of q(f) wrt f?\nAnswer: 2676*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -3, 0, -594 in descending order.\nAnswer: 7, 0, -3, -4, -594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215 and 235425.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -74. Suppose 174 = i*z + 150. Suppose 8*g - z*g - 4 = 0. Solve 3 = j + g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002628462 rounded to seven decimal places?\nAnswer: 0.0002628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -154*j**4 - 3*j**3 + 10*j - 381. Let p(a) = -231*a**4 - 4*a**3 + 14*a - 572. Let w(g) = 7*m(g) - 5*p(g). Differentiate w(q) wrt q.\nAnswer: 308*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -1\/2*j**3 - 1\/12*j**4 + 0 + 2*j + 5*j**2. Let o be t(7). What is o rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 858479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021221222012 - -1022?\nAnswer: -1021221220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2. Let v(f) = -106*f - 93 + 71*f + 54*f + 86. Determine v(z(d)).\nAnswer: -19*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -28*g + 29. Let p be j(6). Suppose 670 = 2*b + 2*d, 2*d + 10 = -0*d. Let s = p + b. What are the prime factors of s?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1454*y**2 - 16. Let d(f) = 1865485*f**2 + 20524. What is -5131*b(c) - 4*d(c)?\nAnswer: -1466*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1)\/d)**(-3\/53)*d**1\/(d**(-8)*d))**(-1\/3))**(1\/7) assuming d is positive.\nAnswer: d**(-430\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -47?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166782146*n**4 + 3*n**2 + 286302*n - 30.\nAnswer: -4002771504*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/1623, -5, 0.4, -0.5, 131 in ascending order.\nAnswer: -5, -0.5, -1\/1623, 0.4, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -138*g**5\/5 - 1528*g**3\/3 + 761. Find the third derivative of y(c) wrt c.\nAnswer: -3312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(80)*2 + sqrt(80) + sqrt(80))*-5 + 5*-1*sqrt(80) - ((-1*sqrt(80) + sqrt(80))*3 + 4))**2.\nAnswer: 800*sqrt(5) + 50013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -32*a**5 - 2092*a**4 - 26100*a**3 - 70072*a**2 + 260992*a + 729600 = 0.\nAnswer: -50, -8, -19\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 8*b**2 - 1125*b + 16940. Calculate k(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 732140508 + 0?\nAnswer: 732140508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 10*o - 7*o. Let a be ((-14)\/(-35))\/(o\/(-5)). Let n(v) = -7*v - 5. Let j be n(a). Calculate the greatest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -1. Let s(u) be the third derivative of -u**6\/120 - u**5\/15 - u**4\/12 - 2*u**3\/3 + 2*u**2. Let p be s(g). Put 5, p, 3 in decreasing order.\nAnswer: 5, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37031872.41 to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -11*q - 25. Give x(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/28)\/(24\/(-42))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**6*v**2 - 2*n**6*v - n**3 - 2*n**2*v - n*v**2 + 15*n*v wrt n?\nAnswer: 120*n**3*v**2 - 240*n**3*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6035356 to the power of 1\/2, to the nearest integer?\nAnswer: 2457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5608*y**2 - 5613*y**2 - 5614*y**2 - 5607*y**2 + 22441*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 130*d**2 - 2646*d + 16038.\nAnswer: -2*(d - 27)**2*(d - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.2, 1, 9\/2, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**2 + i**2 + i**2 + (0 + 3 + 1)*(2*i**2 + 0 + 0) + 0 + 0 + i**2)*(-544 - 532 + 954) to r*i**2 + t*i + u and give r.\nAnswer: -1342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*p*z**3 - p*z**2 - 5254*p*z + 14*z**3 - 5*z**2 wrt z?\nAnswer: 66*p*z - 2*p + 84*z - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 247159896 and 2628.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4)\/((-3)\/(-4)). Let f be (2\/1)\/(-1 - -2). Find the third derivative of 0*z**2 - z**f + 3*z**p - z**4 wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2239341 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17454952?\nAnswer: 2, 2181869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + l + 1. Let k(s) = -s**2 + 8*s**2 + 8*s - 2 + s + 7 + 1. Let m(x) = -x - 16. Let w be m(-11). Let h(b) = w*r(b) + k(b). Give h(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -499 divided by 296.\nAnswer: -499\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/32)\/(3*2\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:57 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-2 - -5 - -1). Let m be 0 + j - (2 - -2). Are -6\/7 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4\/121 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/869 + -103421\/4345. Let r = x - -45\/2. What is the common denominator of r and 85\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/27)\/((-30)\/(-72)). What is the smallest value in -2, v, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-7)*(3 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 104, 3, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1403017 and 213994?\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2))**(-38)*g**(1\/4)*g\/g**9 assuming g is positive.\nAnswer: g**(-107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26\/37 - -1039\/259. Find the common denominator of j and -31\/4032.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 g, and 1 q when four letters picked without replacement from {t: 1, g: 2, q: 1, v: 2, w: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1572346.1 rounded to the nearest one thousand?\nAnswer: -1572000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*((-7)\/(-3) + -3). Suppose 2*j + w*j = 8. Suppose -15 = -3*h - j*h. Solve 0 = 5*n - 10*n - h*u - 16, 0 = n - 4*u - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44, 214, 504, 920, 1468, 2154, 2984, 3964?\n\"Answer: f**3 + 54*f**2 + f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 420\/28000*(-130)\/48. Is 0 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 448\/(-14) + 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*r, 4*d - 31 = 5*r + 48. Suppose 2*s + 3*s = 70. Suppose -2*c - s = -d. Solve -2*w + c = 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from evyyvyeeyvayayyee?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-64)\/(48\/(-6)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:08 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - ((11 - 18) + 8 - -3) - -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101760*y + 305367*y - 101848*y - 101756*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 3*c**2 + 3*c - 3. Let z be r(4). Let n(m) = m. Let f(d) = 4*d + 4. Let j(a) = -f(a) + 2*n(a). Let g(i) = 6*i + 13. Give z*j(b) - 2*g(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.93638868 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/2376 and -37\/4686?\nAnswer: 168696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 0*s + 1\/12*s**3 + 1\/4*s**2 + 1 + 1\/4*s**5 - 1\/2*s**4. Suppose p(x) = 0. What is x?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61882 rounded to the nearest 1000?\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2181, -4486, -6865, -9312, -11821, -14386, -17001, -19660?\nAnswer: -22357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j - 38. Let r(p) = -949*p. Determine r(x(o)).\nAnswer: -1898*o + 36062","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 5:57 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + t**2 - 12*t + 3. Let z(a) = -a**3 - 23*a**2 - 21*a + 18. Let l be z(-22). Let y be d(l). Solve -y*n + 31 = 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -116\/3*g**2 + 0 + 39*g - 1\/3*g**3 = 0. Calculate g.\nAnswer: -117, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -3\/11 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31813242 (base 9) in base 7?\nAnswer: -244400156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(-26*m**2 - 7*m + 24*m**2 + 16*m) as u + i*m**2 + z*m and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/15 in 4\/9, -0.05, -1.7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w + 34 - 34. Let m = 1 + -2. Determine j(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -46 - (21 - (136 + -154))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 113*g**4 + 6*g**3 + 4*g - 237. Let z(y) = 1809*y**4 + 99*y**3 + 66*y - 3792. Let r(i) = -33*c(i) + 2*z(i). Differentiate r(a) with respect to a.\nAnswer: -444*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddc when four letters picked without replacement from crccrrqrcccddcdrdd?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j - 5171 - 5173 + 10342 - 20*j**2 in the form c*j**2 + t*j + m and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23866885 + 98403168271\/4123. Let a = x + -6\/217. Let g = 43\/76 - a. Are g and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by (6\/(-12))\/(1\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -953*a**3 - 25*a**2 - 29*a - 5. What is j(-1)?\nAnswer: 952","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l - 2*l - 5*l + 5. Let n be k(9). Is (n\/5)\/((-2)\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-2)*(-60)\/(-75)*17\/((-1836)\/1323)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((3 - (17 + -7 - 47)) + 7)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/(-10))\/(21\/875) and 39\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3151246 divided by -5?\nAnswer: -3151246\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 130. Let b(s) be the third derivative of s**5\/20 + 1189*s**2. What is r(b(k))?\nAnswer: 3*k**2 - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 11. Let j be s(6). Solve -6*h - j = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 0.5791?\nAnswer: -9.8447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 4*c**2 - 3*c - 3. Suppose 26*p + 18 = 32*p. Determine x(p).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 0*q + 6*q - 8*q**2)*(-2*q**2 - 14 - 17 + 16) in the form n*q**3 + i + l*q**4 + t*q + h*q**2 and give h.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbwbewbww. What is prob of picking 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 1:23 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122.999791 + 123. What is j rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2919 or -2916?\nAnswer: -2916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w + 119. Let i(n) = -5*n - 102. Let r(f) = 7*i(f) + 6*k(f). Let v(l) = -2*l**2 - 59*l. Determine v(r(o)).\nAnswer: -2*o**2 - 59*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**4\/6 - r**3\/3 - r. Let k(l) = l**3 + 3*l - l - 3*l**2 + 0*l. Let g(f) = 2*k(f) + 3*q(f). Solve g(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58545785 is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 24*t**2 + 24*t**2 - 3*t**5 - t**5 + 3*t**5 + 0*t**5 - 2*t**5 + t**5 + (2*t - 2 + 2)*(0*t**4 - t**4 + 3*t**4) + 34*t**4 - 34*t**4 + 9*t**5.\nAnswer: 13*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/402 and 71\/22?\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 * -2.78\nAnswer: -0.6394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 + -133.4. Let k = -50 - s. Let o = 4 - 3.5. Which is the third biggest value? (a) k (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l + 56. Determine v(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**5 - 14304*l**4 - 474286*l**3 + 545796*l**2 + 1897112*l - 1954320 = 0.\nAnswer: -34, -2, 1, 2, 7185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1566 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/9 + (-2757)\/(-27) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.917 + -8.317. What is the nearest to 0 in 5, l, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -22*p**2 - 19*p + 43. Let g(t) = -5*t**2 - 5*t + 10. Let q(r) = -9*g(r) + 2*s(r). Suppose -5*i - 7 = -4*c - 27, -2*c + 4*i = 10. Give q(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/5289192 and 179\/481904160.\nAnswer: 4337137440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 11*x + 11. Let f(v) = -v**2 - 4*v - 4. Let b(o) = 11*f(o) + 4*w(o). Let c(p) = -23*p**2. What is c(b(g))?\nAnswer: -23*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 532 and 674?\nAnswer: 179284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6040875, -6040877, -6040879?\nAnswer: -6040881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 946 + -1345. Let x = 462 + z. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.08, 1\/9, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (1 - (3 - 0)). Suppose 2*g - 3*y + 4*y + 1979 = 0, -4*g - 3961 = -y. Let z be (-2)\/9 + g\/(-81). Solve 5*f - z - 13 = -j*d, -f = -5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5 + 10. Suppose 0 = w*u - 64 + 9. List the prime factors of (u - 4) + 0 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3)*-3 + 3. Let b(q) = -q - 17. Let r(a) = -4*a - 50. Let z(j) = w*r(j) - 7*b(j). What is the units digit of z(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**4 - 27736*p**3 - 11021984*p**2 - 21960744*p - 10966500 = 0.\nAnswer: -375, -1, 7311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**5\/15 + f**3\/9 - 9. Factor y(j).\nAnswer: -j**2*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -148, -1325, -4532, -10783, -21092, -36473?\n\"Answer: -169*t**3 - t**2 + 9*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -111100011 (base 2) to base 6\nAnswer: -2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*o**4 - 938*o + 6246*o**3 - 7*o**4 - 6243*o**3 - 8*o**4 + 2 + 2*o**2 to r*o**3 + n + v*o**4 + l*o**2 + y*o and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/(sqrt(7)*1))\/(sqrt(3) - sqrt(36)\/(sqrt(12) - sqrt(12)*-1)))**2 - (sqrt(100)\/(sqrt(24)\/(sqrt(60)\/sqrt(5))))**2.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-329)\/14 + 420\/20)\/(4\/(-2))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33104563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2219686 and 1487514.\nAnswer: 4634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -929 + 3470. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 862*v**3 - 10*v**2 - 10*v + 24. Let j be l(12). What is j rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/129 and -8\/261.\nAnswer: 11223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*44\/(-16))\/((-1 - -2)\/(-1)). Let l(d) be the second derivative of -k*d**2 + 14*d + 0 + d**3. What is the first derivative of l(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/149, 15, -2\/17, -9\/4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6423140*t*y**6 - 2*t*y**4 + t*y**2 + 42*t*y + 56501 wrt y.\nAnswer: 770776800*t*y**3 - 48*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13049563 + 0?\nAnswer: 13049563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7906753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -15, -1427, 8 in decreasing order.\nAnswer: 8, -4, -5, -15, -1427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*n**3\/2 + 128*n**2 - 894*n + 1240.\nAnswer: (n - 4)*(n - 2)*(9*n + 310)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10259\/60 - 687\/4. Let r = j + 3\/5. Let c = 0.6 + 3.4. What is the third biggest value in r, -2\/7, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsqcqsssqcs. What is prob of sequence qcq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -148, -169, -198, -235, -280?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*2*4\/(-42)*23\/(-46). Let g be (6 - 3)\/3*-5. Which is the smallest value? (a) -1 (b) h (c) 4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -363810?\nAnswer: -2546670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 746 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + j + 4. Let k(y) = -3*y**2 + 8*y + 1. What is -k(l) + 6*z(l)?\nAnswer: -9*l**2 - 2*l + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/756)\/((-8)\/28)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 562 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (279575\/13695)\/5 - 4. Let y = q + 2\/249. Sort y, 2, -5 in descending order.\nAnswer: 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -477671, -477687, -477703, -477719?\n\"Answer: -16*m - 477655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*l - 7604 = r - 7581, 0 = -r + l + 21 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (19 + -17)) + -75 + -17 + 4.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 390 = 788*p - 793*p, -25*d + 66 = -p - 12 for p.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/36 - (-418)\/8. Suppose 0 = -3*q - r + 187. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 5 (b) -0.9 (c) 22\/47 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3309, 6637, 9965, 13293, 16621, 19949?\nAnswer: 23277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01711 + -7.92989. Let v = 0.053 - x. Let q = 3.3 - 3.7. Which is the biggest value? (a) 1 (b) v (c) q (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 83887674 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 0.1. Sort f, -0.5, 0.\nAnswer: -0.5, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from {g: 1, b: 3, s: 2, n: 1, z: 4, w: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 43*f**2 + 1\/80*f**5 + 5\/24*f**3 + 0*f - 3\/32*f**4 + 0 + 1\/480*f**6. Find c such that d(c) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, u: 2, t: 7}. What is prob of picking 1 u and 1 c?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**2 + c**2 - c**2.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, -127, 5518 in ascending order.\nAnswer: -127, 0, 15, 5518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 10*x**3\/3 + x**2\/2 + x. Let t be l(2). Let q = 80 - t. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -875991*q**4 - 3*q**3*w - 37*q**2*w + 2*q**2 - 2*q*w + 880803*w wrt q.\nAnswer: -21023784*q - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0932183kg?\nAnswer: 93218300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1800 and -131\/2700.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -5*m**4\/4 + 2*m**3\/3 + m**2\/2 - m - 1662. Calculate g(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2)\/4 - (-75)\/30 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/(-5))\/(3\/160). Let s be -2*((-705)\/(-10) + 4). Let i = u + s. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1462*d = 1470*d - 56 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -729*x**4\/8 + 5*x**3\/6 - 2*x**2. Let p be a(6). Let t = 183751\/14 + p. What is the common denominator of t and -41\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y*y**(1\/2)))))\/(y*(y*y**1\/y)\/y))\/(y\/(y\/y**(7\/3))*y**(-2)) assuming y is positive.\nAnswer: y**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142828, 285801, 428922, 572191, 715608?\nAnswer: 859173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14277841 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -597 * -0.3062498.\nAnswer: 182.8311306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xez when three letters picked without replacement from {e: 4, n: 2, x: 3, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 10:54 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 + -1)\/(-3 - -4). Let x(w) = -w**3 + 9*w**2 - w + 24. What is the hundreds digit of x(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 6 - 7)*(12*i - 15*i - 47*i - 73*i) to w + q*i and give q.\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 22 = -3. Suppose k = 24 + 18. Let n be 1\/6 - 28\/k. Put n, -6, t in ascending order.\nAnswer: -6, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -82*g + 486. What is o(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 7}. What is prob of picking 3 w?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66327*k**2 + 33173*k**2 + 33163*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 0. Suppose -40 = -2*d - 2*d. Which is the biggest value? (a) 1\/3 (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*w - 760*w + 63 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 193 and 19815889.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-644)\/(-60))\/(-7) + 14*(-28)\/(-294)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 337*l - 12652. Give d(31).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/60*(-6)\/4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/13 - 68*i**3\/13 - 726*i**2\/13 - 2024*i\/13 - 1720\/13 = 0.\nAnswer: -5, -2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 4*k**2 - 6*k - 18. Let j be d(-2). Suppose -j*p = -16*p - 14*p. Let v be (-4)\/(-3)*18\/39. Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-16 - -1 - (-56 - 21))) + 5.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/109374 and -11\/2344?\nAnswer: 128186328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155123, -104, 2 in ascending order.\nAnswer: -155123, -104, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 1:43 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4830\/(10 + 481\/(-52)) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4)\/(w*w\/w**(-2)*w))\/(w**2*w*w**(-1\/2))*((w\/w**2*w)\/w)**11*w\/(w*(w\/(w**(2\/7)*w))\/w*w)*w*w*(w**(-5\/2)*w)\/w assuming w is positive.\nAnswer: w**(-517\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018 + -4324167?\nAnswer: -4324166.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6500 - 6500 - 217*o**2 + (0 - 2 + 1)*(0*o**2 + 0*o**2 - o**2) + 1 + 2*o**2 - 1 - 2*o**2 + 4*o**2 - o**2.\nAnswer: -213*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(-2\/97)\/(d\/d**(-2))**28 assuming d is positive.\nAnswer: d**(-8144\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - x = 4*x - 36, 4*h - 4*x = 0. Solve h*g - 6*g = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 90 = -4*t - 4*b, 115 = 4*t + 3*b. Suppose x + t = 5*k - 2*x, 20 = -4*x. Solve -3*v = -k - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 3. Let i be a(14). Suppose -2 - 7 = -3*z. Suppose -i - 4 = -z*c. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 + 64. What is the third biggest value in -3, 1, 0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2\/9 - 78494*s\/9 + 8106100\/9 = 0?\nAnswer: -39350, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/458110 and -113\/274866.\nAnswer: 1374330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(-3*h**2 - 5*h**2 + 3*h**2) - 2 + 2 - 2*h**2.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1680 = 2*u + 25, 2210 = 4*m + u. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 5*w**2 - 6*w - 6. Determine h(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-three halves of a day?\nAnswer: 30960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136269841\/378 + -360502. Calculate the common denominator of 67\/90 and w.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 2. Suppose -m - 4 = -6. Suppose -m*l = -3*h + 4*h + 3, l + 4*h = 9. Calculate s(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from artmvqm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 24. Suppose -k = 1, a + 2*k - 4 = -14. What is the remainder when i(a) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 d, and 1 x when three letters picked without replacement from {j: 2, m: 2, d: 1, l: 2, x: 1, r: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - ((4 - 2) + -10). Suppose j = -5*m - 4 + 11, -7 = -5*j + 3*m. Let b(t) = 0 + 4 + t - j - h. Give b(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f - 26. Let w be z(9). Let o(y) = y + 6. Let q(n) = -1. Determine w*o(u) + 5*q(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -121300000 rounded to the nearest one million?\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154\/770*2\/((-4)\/5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1971 + 846. Find the common denominator of -17\/6 and (1\/65)\/((-10)\/h).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*s - 8626 = -8621, 3*h + 9*s - 5 + 35 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (245\/(-98))\/(1\/4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 770\/1820*-26 + (-15)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 80 = -2*s + 68 - 8, 2*s - 28 = 2*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4951710 and 5948?\nAnswer: 2974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1326, -2829, -4684, -6891?\nAnswer: -9450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 + 105 = 6*v. Let t(p) be the third derivative of 0*p**3 + 0*p + 2\/105*p**v + 2*p**2 + 0 + 1\/35*p**7 + 2\/35*p**6 + 0*p**4 - 1\/24*p**8. Factor t(k).\nAnswer: -2*k**2*(k - 1)*(7*k + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.999981 - 5. Round o to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(-2*sqrt(75)).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(4\/(-248))\/((-36)\/24)*2?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 10 + -1 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8755699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 6:54 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 7*c**2 + 9*c + 6. Let t be p(-8). Let y be (0 + (-8)\/(-26))\/t. Let h = -102.5 + 102. What is the third smallest value in 1\/4, y, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*z + 6 = -10*z, 2 = -z. Which is the closest to 0.1? (a) -0.2 (b) f (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 not equal to -15\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 - 3*v - 48*v**2 + 4*v - 41 + 85 as s + u*v + i*v**2 and give i.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-19 - -27) - (-4 + 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 1087a?\nAnswer: 1087d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**3 - 32104*m**2 + 1388044*m + 1420144 = 0.\nAnswer: -8069, -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14712 + 14712 - 6*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -18. Is -4 - v - (1 + -168) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -876*b**5 + 3175*b**2 + 50*b + b**3 + 59*b - 109*b - 580*b**5 wrt b.\nAnswer: -87360*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -52*x + 9. Let i be q(0). What is the highest common divisor of i and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200\/(-15)*(-189)\/(-252).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 2*y - 3. Suppose -9 = g - 1. Suppose 0 = 5*t + 4*d + 33 - 6, -5*t = -d + 12. Let f(n) = 3*n**2 - 5*n + 8. Give g*c(r) + t*f(r).\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)*q**0\/q)\/(q**(-1)*q)**(-35) assuming q is positive.\nAnswer: q**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + 13. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4960 - -7127. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0133784534 rounded to 5 dps?\nAnswer: 0.01338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.568039 hours?\nAnswer: 9244.9404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*j - 107*j = 0. Suppose -4*k + 3*z + 317 = j, -132 = -2*k + 5*z + 9. What is the remainder when k is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 16, 37, 74, 133, 220, 341, 502?\nAnswer: 709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 872066 and 670820.\nAnswer: 8720660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/88 + 317\/8. Let n be (-2)\/(-4)*y\/4. Suppose 2*w + 735 = -3*f - w, -2*f - 462 = -n*w. What is f rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 8*q**2 - q - 5. Let u be a(-8). Suppose 5*v + 80 = t + 4*t, u*t + 3*v - 72 = 0. Solve -4*w - 4*s + t = 0, -w + 3*w + 4*s - 16 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**3 - 85756*g**2 + 25288876*g - 1877405364 = 0 for g.\nAnswer: 149, 21141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458724 is divided by 91439.\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -25 and -59237147.\nAnswer: -59237172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -34 - -34 - (-1 + -10)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.278 - -11.19. Let z = 1.012 + -1. Let v = j - z. Round v to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 a factor of 14075710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 854934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p = -37*p - 15. Is 21231\/27 - 2\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 - 3*v**2 + v. Let w be d(2). Let i = 69 + w. Which is smaller: i or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-36)*(-27)\/90*(-49)\/196?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3481, 2, -0.1?\nAnswer: -2\/3481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - n + 3. Let q be m(0). Let k be q\/4 + 8880018\/(-24). What is k rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -1002200?\nAnswer: -1002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13560, 13554, 13544, 13530?\nAnswer: 13512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 3:15 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17338 divided by -8263.\nAnswer: 17338\/8263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 242280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**5 + 2*f**5 - 4*f**5)*(5 + 0 - 6) - f**4 + f**4 + 2*f**5.\nAnswer: 6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87483 - r + 175063 - 87504.\nAnswer: -r + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*o + 2114 = 11639 + 639 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2589, 2582, 2569, 2550?\n\"Answer: -3*c**2 + 2*c + 2590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**8\/1344 + x**7\/280 + x**6\/480 - 7*x**5\/240 + x**3\/6 - 5*x**2. Suppose o(y) = 0. Calculate y.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6396 divided by 246\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 3789.\nAnswer: 4\/3789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -834119344*b**2 + 834119344*b**2 - 17837*b**3.\nAnswer: -17837*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 11*y**2 - 21*y - 5. Let s be p(-8). Let j be s\/(-14) - 9\/6. Factor 2\/7*n**4 + 0 - j*n**3 + 2\/7*n**2 + 0*n.\nAnswer: 2*n**2*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7432 + 3476. What are the prime factors of n?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 + 15*j**2 + 16*j - 63. Let a be r(8). Let i(z) = -z**2. Let n(o) = -o**2 - 9. Give a*n(x) - 6*i(x).\nAnswer: 5*x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 295415.159 and -0.5.\nAnswer: -147707.5795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393017?\nAnswer: 393017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*p**5 - 3*p**4 - 261*p**2 - 1 wrt p?\nAnswer: -4620*p**2 - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y + 43 = -5*a, -2*a = y - 8. Suppose 15*v + 9 = y*v. What is the first derivative of 3*o + 0*o - v - o - 1 wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 l when three letters picked without replacement from {z: 1, l: 3, x: 1, w: 3, p: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.6 - -35.6. Put 7, s, -2\/5 in descending order.\nAnswer: 7, s, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwh when three letters picked without replacement from {k: 1, d: 3, w: 2, u: 2, h: 8, s: 1}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*v + 2, -4*p + 11 = v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a hour?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkw when three letters picked without replacement from ookkoowokwowwoowwook.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734382887.\nAnswer: 7, 1447, 72503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r. Let o be z(-2). Suppose 3*u + 1 = o*x + 49, 5*x = 4*u - 63. Let c be ((-3)\/(-4))\/(3\/u). Solve -h - 5 = -c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626 a factor of 107828812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**3)**(-5\/7)\/(((w**(1\/4)*w)\/w)\/w**9) assuming w is positive.\nAnswer: w**(285\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5726? (a) -2 (b) 6\/13 (c) 69 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(24\/180).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -543755 and -45131622\/83 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 205.97 times 21\nAnswer: 4325.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6329 + 706 = 335*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -16*n + 9. Let j(f) = 129*f - 72. Let g(h) = 4*j(h) + 33*m(h). Let r(x) = -3*x + 2. Determine -2*g(s) + 9*r(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0*t*t*t)**(-38)\/(t*(t\/t**(-3\/7))\/t*t**(3\/8)*t))\/((t**(2\/3))**(1\/2)*t**(1\/4)\/t**0) assuming t is positive.\nAnswer: t**(-26105\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -26, -82, -170, -296?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 4.1. Let b = -2.1 + q. Let a = b + -1.899919. Round a to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 - 46. Which is the closest to o? (a) 0.3 (b) 2\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + -52. Let v(n) be the first derivative of 5*n**2\/2 + 3*n - 3. Does 17 divide v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18028988 is divided by 273165.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 11. Let d = -0.032 + 2.032. What is the fourth smallest value in d, p, -4, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**4\/12 + k**3 + 7*k**2. Let w be q(4). Which is the third smallest value? (a) -0.5 (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5252.3404 to the nearest 10.\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 50*z = 79*z, 2*z = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89723618 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/6 + 601*s**3\/2 + 103379*s**2\/6 + 449819*s\/2 - 1563419\/3 = 0?\nAnswer: -29, 2, 1859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 1. Let r(l) = 125. Let b(g) = 11. Let c(a) = 22*b(a) - 2*r(a). What is c(q) - 6*t(q)?\nAnswer: -6*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149236 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324830.\nAnswer: 2, 3, 5, 13, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 7*w = 30519. Suppose -5*s - 132 = w. What is s rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 3. Let m = 6 + -1. Suppose -2*h = -6*h + m*s + 2, 3*h - 2*s + 2 = 0. Let f(d) = -1. Let q(j) = j**2 - 2. What is h*f(y) + r*q(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*(-1 + (-1*sqrt(392))**2).\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**4\/24 - y**2. Let a(p) = -300*p + 300*p + 5*p**2. Calculate a(d(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -133? (a) 0 (b) 3 (c) -0.3 (d) -2 (e) 0.37 (f) 0.069\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 8. Let r be 2\/12 - (-262)\/v. Solve -o + 6*o - 2*u + 16 = 0, 5*u = -3*o - r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 13. Let c(m) = 6. What is -9*c(v) + 4*l(v)?\nAnswer: 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14412000 rounded to the nearest 100000?\nAnswer: -14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1314 - 115. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - h - 2*h)*(4074*h - 828 + 1646 - 818) to c*h + q*h**2 + v and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/8)\/((-222)\/296).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27 - -15)\/(((-2)\/2)\/2). Let a be -1 + -3 + (j\/(-3))\/(-4). Let c(r) = r**3 + 3*r**2 + 3*r + 5. Determine c(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*v + 764*g**3 - 457*g**2*v - 2*g*v + 3*g wrt g.\nAnswer: -12*v + 4584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/3 - 50*n**3\/3 - 106*n**2\/3 - 18*n.\nAnswer: 2*n*(n - 27)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 108438. Let y(t) = -25*t. Give f(y(g)).\nAnswer: -25*g + 108438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*f*l**3 + 2*f*l**2*u**2*z + 22266*f*l**2*z + 3*f*l*u**2*z - 2*f*z - 34*l**3*u**2*z - 3103*l**3*z + 4*l**2*u**2*z wrt l?\nAnswer: 606*f - 204*u**2*z - 18618*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 divided by -107?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2101012502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a69 (base 12) to base 9.\nAnswer: -46340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 518 = o + 5*z, 4*z + 350 = 2*o. What is the greatest common divisor of o and 2921?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.98 + 3.88. Are l and -16.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -356366 divided by 3?\nAnswer: -356366\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96092 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00136 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 204089321?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 57244248 to the power of 1\/2, to the nearest integer?\nAnswer: 7566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-18) + 2\/(-9). Suppose 3*p = -h*p. Suppose p = -y - 0*y + 2. Solve 9 = 5*t - y*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 3*m**2 + 6*m - 1. Suppose 0 = 8*r - 26 - 6. Let d be t(r). Solve -d = -2*f - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.2937 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*k**2 - 365*k - 67*k**2 + 402 + 364*k to the form c*k**2 + p*k + o and give o.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 5460654.06.\nAnswer: 5460653.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*n + 64*l - 136*l + 1252 = -67*l, -5*n - 5*l + 130 = 0 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 4*h**2 - 7*h - 8. Let b be x(-5). Suppose 0 = -0*s + b*s - 20. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 3:23 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**4\/8 - v**3\/3 + v**2. Let s = 32 - 28. Let t(w) = -2 + 2*w**2 + w**2 - s*w - 4*w**2 + 0*w. Give -3*c(u) + 2*t(u).\nAnswer: -2*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 3:22 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from zud.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 3*s**2 + 3*s - 5. Let o be w(3). Let z be (o + 266)*(-4)\/(-10). Let x = z + -58. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22a (base 12) to base 9.\nAnswer: -387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 499.28 rounded to the nearest ten?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1*sqrt(405) - sqrt(405)) + 5) + (sqrt(405) - (sqrt(405)*1*3 - sqrt(405))) + (sqrt(405) - (sqrt(405) + 0 - sqrt(405) - sqrt(405))) + 1)**2 + -4.\nAnswer: 288*sqrt(5) + 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -13. List the prime factors of 8 - (-5)\/(z\/4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5 - 2355476*f**4 + 23554843*f**3 - 40043254*f**2 + 18843888*f = 0. What is f?\nAnswer: -2355486, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4215, 6378, 8541, 10704, 12867?\nAnswer: 15030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -649 * 0.093\nAnswer: -60.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 9. Let g be n(8). Suppose -1 - g = -4*v. Let u be 2\/(3 - -1 - v). Solve 4*s + 2*f - 25 = -u, 5*s - 32 = -3*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 873*j + 55. Is w(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z + 18. Let q be n(3). Suppose 7 = r - h - h, q*h = 2*r - 15. Factor -16*o - 13*o + r*o - o**2 - 4*o**2 - 20.\nAnswer: -5*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 3 (c) 10 (d) -1 (e) -589\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 3. Let o be k(-7). Let z be 13160021\/14 - (-6)\/o. What is z rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0137 and 0.0826.\nAnswer: 0.00113162","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 602 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 49 = -4*j, 646 = 2*j + 2*g + 644 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11701811 is divided by 5850884.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 350930 to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 63 + 66 + 3*d**2)*(-2 + 4 - 3)*(-1 + d + 1).\nAnswer: -5*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092527197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 7) to base 2.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1, -9, -15, -11, 9, 51, 121, 225?\n\"Answer: a**3 - 4*a**2 - 5*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(36)\/(-2*sqrt(300) + sqrt(300)))\/(-1*1*sqrt(100) + sqrt(100) + (sqrt(100) + 2*sqrt(100) - sqrt(100))*3))**2.\nAnswer: 3\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5487505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 6*z = -1, -3*z - 28 = 5*h. Sort -3, 5\/4, 11, h.\nAnswer: h, -3, 5\/4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-256)*-8*8\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/3)*v**(11\/3) assuming v is positive.\nAnswer: v**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4365905 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*g - 2*l - 32, 22 = 2*g + 5*l. Find the first derivative of g + 24*n**3 - 1 + 7 + 4*n**3 wrt n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -753*p**2 - 2*p + 2443 wrt p.\nAnswer: -1506*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*j - s + 23, 4*j + 2*s - 34 = 0. Suppose -2*u = u - j. Find the first derivative of -k**2 - 2 + k**u + 2*k**3 + 0*k**3 wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 15. Let t = 3.9 + 0.1. What is the closest to 0 in p, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2829 - 9\nAnswer: 2820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -27. Suppose 0 = t - 4*t - 5*m + 25, 2*t - 5*m = k. Solve -4*l + 3 = -3*f, t - 8 = 3*f - l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*w + 3 = 2, 8 = -4*h + w. Let b = 0.4 + -0.4. Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(-2\/13)))\/z)\/(z*(z**(9\/5)\/z)\/z))\/(z\/((z\/(z*z**(2\/69))*z)\/z*z)*z*z**(2\/91)\/z*z) assuming z is positive.\nAnswer: z**(-84676\/31395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -55.4. Suppose -b + 3*y - 69 = b, 2*b + 109 = -5*y. Let u be 3*(2\/b)\/(-1). Put -0.5, u, h, 4 in decreasing order.\nAnswer: 4, u, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1575545131.\nAnswer: 1575545131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjjm when four letters picked without replacement from xmjqmxjjmqjjmxmgxqml?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178 + -129. What is the remainder when 143 is divided by a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14278000 divided by -15.\nAnswer: 2855600\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + 299. What is the remainder when d is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y - 170. Let o be d(26). What is the remainder when (1400\/(-245))\/((-10)\/o + -1) is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r + 12. Suppose -k - 3*k = 44. What are the prime factors of o(k)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**3\/3 - k**2\/2 + 16. Let i(a) = -a**3 + 6*a**2 - 5*a + 1. Let z be i(5). Let d(c) = 6*c**2 - 4*c - 2. Give z*d(p) - 5*j(p).\nAnswer: p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 15 = 7. Sort j, 3, 5 in decreasing order.\nAnswer: 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwnah. What is prob of sequence awh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1253 divide 2621361987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2\/13, 5, -0.4, 30.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 42?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 5*h + 5, 30 = -t + 6*t + 2*h. Suppose -t*v = -4*l - 3*v + 79, 0 = l - 5*v - 34. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382619 is divided by 191282.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -56 + 109 + -61 + -2 + -18\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmmr when four letters picked without replacement from rmmrrmmmrr.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(4\/(-3) - 0). Let g = 498 - 10460\/21. Which is the smallest value? (a) g (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -413 times 21263.3?\nAnswer: -8781742.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4664656.\nAnswer: 2, 47, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -63 + 3*w**3 - 106 + 21 + 27*w**2 + 4 + 6*w = 0.\nAnswer: -8, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4827919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h + 27. Let j(n) = n - 4. Let r be (-1 + -1)*-1 - (-136 - 5). Suppose 440 - r = 11*t. Calculate t*j(a) + 4*p(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffsf when four letters picked without replacement from {s: 1, f: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 27 - 111. Let s = c - 9. Let q = s - 3. Do q and 9 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -74*w + 8. Let x be s(2). Let t = -75 - x. What is the tens digit of (t\/4)\/(15\/120)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -22*c + 57. Let m(n) = n**3 - 10*n**2 + 2*n - 14. Let o be m(10). Solve o = -c*i + 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(7) + 0 + sqrt(7))*3)**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 107152 and 34752?\nAnswer: 1285824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21\/1 + (-3590)\/170\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -19.5?\nAnswer: -19.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10936 - 4073. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13406 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7837328 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 44*l - 14*l + 79*l. Let d(o) = -3479*o - 3*o**2 + 3479*o. Give h(d(t)).\nAnswer: -327*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g - 48. What is v(0)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3379492 and 7025786.\nAnswer: 266979868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -687661\/30 - -22926. Let c be 1 + 8\/(-12) + -2170. Let l = -2145 - c. Calculate the common denominator of s and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/45 + (-14)\/63. Is v > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.876538 rounded to two decimal places?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480364711 to the power of 1\/3, to the nearest integer?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/2 - 93*d**2\/2 - 57*d + 288.\nAnswer: 3*(d - 32)*(d - 2)*(d + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2 - 13*o + 16. Let l(q) = q**2 - 4*q + 5. Let i(r) = -7*l(r) + 2*v(r). Determine i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2657 = x + 3*i, -7*x = -9*x - i + 5334. Is x >= 2668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2807, 2811, 2815, 2819?\nAnswer: 2823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*n + 111*n + 50*n - 5*n + 3*n - 4*n + (n + 2*n - 4*n)*(-1 - 3 + 5) + 3*n - 2 + 2.\nAnswer: 213*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/28)\/(-1) + 990\/(-14). What is the common denominator of -51\/52 and h\/(-3)*4*(-3)\/(-144)?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) -4 (b) -0.4 (c) 2 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 91960510 to the nearest one million.\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 1. Let s(m) = -m + 0*m**3 - 10*m**2 + m**3 - 1 + 2*m + 0*m. What are the prime factors of s(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 1004 = 928. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 3. Let b(h) = h**2 + 2*h + 2. Let t(z) = -3*b(z) + 2*i(z). Let w(q) = 5*q. Give w(t(s)).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, -14, -36, -78, -146, -246, -384?\n\"Answer: -y**3 - y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/v*v\/(v*v*v**7))**(-12)*(v*(v\/(v**(1\/4)\/v))\/v)\/(v\/(v*v\/v**(-2)))*(v**1)**(2\/9) assuming v is positive.\nAnswer: v**(6227\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 5:28 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 11:51 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164771047 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 672*p**3 - 116 - 262*p**3 + 120*p**2 - 298*p**3 + 2*p**4 - 6*p**4 - 112*p.\nAnswer: -4*(p - 29)*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - b + 3. Let z be r(0). What is the tens digit of (-5)\/15 - (-34)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0. Let f be 6\/3 + 2\/b. Let c be (0 - f) + (1 - 0). Put c, 3, 4 in ascending order.\nAnswer: c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -740, -741, -744, -749?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -514234.\nAnswer: -1\/257117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 11*z - 4. Let b be g(-11). Let o = 5 - b. Let c(y) = y**3 - 9*y**2 + y - 6. What is the units digit of c(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28346 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*h - 151*h = -2*l + 10346, 0 = 4*l + 2*h - 20644. What is the least common multiple of l and 20?\nAnswer: 25820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1200\/66 - ((-2)\/11)\/(-1). Calculate the greatest common divisor of 162 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, j: 4, s: 1, y: 1, u: 11}. What is prob of picking 1 y and 1 u?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.4842 and 0.9?\nAnswer: 10.33578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*d**5 - 345*d**4 + 1745*d**3 - 1665*d**2 + 585*d - 70 = 0. Calculate d.\nAnswer: -7, 1\/3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10255 and 74997745.\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107083 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = l - 4*d, 4*l = -l + 2*d - 6. Let r(f) = 0*f - 5*f + 18 + 7*f. Is r(l) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 + 7*o + 5. Suppose -4*b = -b + 12. Let j(l) = 2*l**3 + 6*l + 4. Let f(r) = b*j(r) + 3*p(r). Calculate the remainder when f(3) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001010001101 + -101001100010100?\nAnswer: -1000010110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 10:14 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154884 - 1711727\/11. Let m = u + 727. What is the common denominator of -43\/7 and m?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 428. Let y(f) = -f + 535. Let d(m) = 5*j(m) - 4*y(m). Let q(o) = 2*o + 51. Give d(q(h)).\nAnswer: 8*h + 204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -84 (base 14) to base 5\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 + 2*k**4 + 2*k**2 - 10*k + 3 + 8*k + k**3 as i + s*k**4 + c*k**3 + p*k + d*k**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*(-51)\/102.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11305368 to the power of 1\/2, to the nearest integer?\nAnswer: 3362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 125. Let r be y(24). Let p = -103 - r. Let o(q) = -4*q - 5. Give o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.952 + 0.048. Let m = 21 + -14. Let g = h - m. What is the second smallest value in 5, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 4*r + r)*(3*r + 0*r - 5*r)*(-2*r - r**3 + 2*r).\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15*(2112\/11)\/(-32)*(-2)\/10\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79335*b**2*m**2*y**2 + 68297*b**2*m*y**2 + 3*b**2 + 334*m**2*y**2 - 366*m*y**2 wrt m?\nAnswer: 158670*b**2*y**2 + 668*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/18084 and -1\/16?\nAnswer: 72336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**2\/2 + 5*x + 3. Let z be a(0). Suppose 0 = -2*i - 2*i - 2*k + 112, z*k + 6 = i. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - 66. Let g = u + 108.4. Sort 7, -3, 3, g.\nAnswer: -3, g, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -469 - -1478406?\nAnswer: 1477937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/4 - 727*j**3\/4 + 1457*j**2\/4 - 729*j\/4.\nAnswer: -j*(j - 1)**2*(j + 729)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 0*k**2 + 6*k**3 - 3*k**3 - 4*k**2 - 4*k**3 + 2*k + 3. What is g(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3309 and -0.33557?\nAnswer: 0.66647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g. Let k(i) be the second derivative of 0*i**3 + 0 + 2\/3*i**4 + 0*i**2 - 10*i. What is n(k(a))?\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -63*i + 112. Let s be u(-6). What is the greatest common factor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-200)\/6*(-48)\/20. Suppose -14 = 2*q - 2*i + 5*i, 4*q - 3*i + 46 = 0. Let b be ((-4)\/q)\/(32\/r). Which is smaller: 1\/10 or b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8236 + -213. List the prime factors of b.\nAnswer: 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 2*b + 50, -11*u + 159225*b - 159222*b + 51 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.058 and -319051292432.\nAnswer: -319051292431.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1217, -4855, -10919, -19409, -30325?\n\"Answer: -1213*j**2 + j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -52767316 and -5.\nAnswer: 263836580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 14. Suppose 0 = 5*w - h - 144, 4*w - r*h - 96 = -8*h. What is the greatest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10207, 20409, 30611?\nAnswer: 40813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.224949 to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-40)\/3)*(-52)\/9?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8 + 17*u - 18*u + 13*u**3 - 1 + 5 + 74*u**3 wrt u.\nAnswer: 522*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 8 - 8 + 12*n in the form g + a*n and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 183*g + 8337. What is o(-104)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 532767.23.\nAnswer: -532764.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 8:34 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -27) + 0 + -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3 + 1 + 14 - 2 + (-1 + 6 - 3)*(4 - 6 + 3))*(x - 2*x - 2*x) as a + d*x and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88 - 1) + (-11 + (26 - 19 - -5) - -13)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 4*r + 4. Suppose -6 = 10*x - 86. Calculate the smallest common multiple of x and f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.3. Suppose 95 - 116 = -7*k. Let m(l) = -l**3 + 6*l**2 - 2*l + 7. Let d be m(6). Which is the second biggest value? (a) v (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 2536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53.21 - -53. Let s = h + 5.21. Suppose -5*m + 5*o = 35, -2*m - 2*o = -m - 2. What is the third smallest value in 1, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 1 - 5. Does 23 divide (-2)\/(2 + h) - -48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 15, i: 3}. What is prob of picking 3 l?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 38 + 43*a)*(2*a - 3 + 3)*(-2*a - 2*a + 0*a).\nAnswer: -344*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(4*(sqrt(256) - sqrt(16)) - sqrt(80)\/(1*sqrt(5))))\/(((sqrt(40) + (sqrt(40) - (1*sqrt(40) - sqrt(40) - sqrt(40))))*4)\/(1*sqrt(500))))**2.\nAnswer: 3025\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*k + 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49927 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 + 998*j\/3 + 664.\nAnswer: (j + 2)*(j + 996)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*z - 97*z - 790 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**2 + 2. Let k(j) = 23*j**2 - 9. Let p(l) = 2*k(l) + 9*t(l). Let z(v) = 152*v + 5. Calculate z(p(m)).\nAnswer: 152*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/4 - 2005*f**3 - 16358181*f**2\/4 - 557219475*f\/2 - 4171365000 = 0. Calculate f.\nAnswer: -3975, -48, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccciiciiicccciccc. Give prob of sequence cici.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - 39*k**2 + 16*k - 78. Let i be m(-20). Let u(t) = -t - 1. Let d(r) = 3*r + 3. What is i*d(s) + 7*u(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123.1 + 0.\nAnswer: -123.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26217 - -39088. List the prime factors of l.\nAnswer: 5, 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -15\/2182?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*p*u**2*x**3 - 3*p*u**2 + 2*p*u*x**3 - 3*p*u*x**2 - 2*u**2*x**3 + 10*u**2*x wrt x?\nAnswer: -156*p*u**2 + 12*p*u - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102297 and 14061?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 + 5*g - 11. Suppose -4*q = -5*l + 7*l - 8, -3*l + 12 = -2*q. Does 8 divide h(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21696 and 36623?\nAnswer: 794572608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -287, -690, -1213, -1850, -2595, -3442?\n\"Answer: m**3 - 66*m**2 - 212*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l - 69*l - 25870 = -39*l. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1135127, 2270238, 3405343, 4540442?\n\"Answer: -3*v**2 + 1135120*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14539, -14508, -14477, -14446?\nAnswer: -14415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*z = 2*x, -3*x + 3*z = -9. Suppose 3*o = -3*u + o + 1, -x*u + 10 = -o. Solve 3*m + u + 12 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - v**2 - 6*v - 1. Let i be u(3). What is the smallest common multiple of (-9)\/(4 + i)*(-38)\/6 and 3?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -39656*p + 11698513. What is m(295)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257 - 22 + 297*b**3 + 2*b**2 - 300*b**3.\nAnswer: -3*b**3 + 2*b**2 - 279","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*39 - (3 - 0). Suppose -18 = -3*u + x. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*s**2 - 213*s**2 + 426*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8185 (base 12) to base 13\nAnswer: 6533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h + 32. Let z be y(6). Let v be ((-48)\/(-4) - z)*(-2)\/(-4). Solve 4*r + 7 = -v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5660787 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1219, 1222, 1227, 1234, 1243, 1254?\nAnswer: 1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**7\/7 - 74*t**6\/3 - t**3\/3 + 10*t**2 + 543. What is the third derivative of v(b) wrt b?\nAnswer: -120*b**3 - 8880*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umu when three letters picked without replacement from {m: 11, u: 5}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -24549*t + 24520. Give n(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(5) - sqrt(80)))\/(sqrt(6) + sqrt(216)) - (2 + sqrt(4)\/sqrt(2) + sqrt(8)\/(sqrt(4)*2)).\nAnswer: -65*sqrt(2)\/42 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786 is divided by 112.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -170 + 254. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.112 and -2910?\nAnswer: 2910.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (884\/(-839358)*-3587)\/((-1)\/3*(-2)\/6)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 1:52 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*y - 2 = 4, -4*a + 5 = -3*y. Is a\/(-11) - 5183\/(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 20. Let k be (-4)\/(4 + (-96)\/20). Let q(i) = 2*i + 17. Let x(g) = k*q(g) - 4*a(g). Let j(y) = 2*y + 4. Calculate 4*j(l) - 3*x(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 249*x**2 + 0*x - 174*x**2 - 2*x + 1363*x**2 to q*x + d + r*x**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -795*c**2*w**4 + 176*c**2*w + 9142*c**2 + 8*c*w + 22820*w**4 wrt w?\nAnswer: -9540*c**2*w**2 + 273840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 2)*(-7833 + 7833 - 36*k) + 2*k + 1 - 1 to l*k + i and give l.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 32*h**2 + 13*h - 2. Suppose 5*d + 5 = 0, -85*r - 64 = -79*r - 2*d. Let k(v) = 16*v**2 + 7*v - 1. Calculate r*k(g) + 6*q(g).\nAnswer: 16*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 6 + 2. Let l be (-2)\/z + (-60)\/(-16). Suppose f - 2*f = -l. Calculate the greatest common divisor of 8 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**5\/7 - 128*k**4\/7 - 1444*k**3\/7 - 6520*k**2\/7 - 9200*k\/7 - 4000\/7.\nAnswer: -4*(k + 1)**2*(k + 10)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-4))\/(1\/(-2)). Let p = -23192 - -23597. What is the greatest common divisor of p and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:47 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 2\/5, -32, -3?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 2a5212?\nAnswer: 2a5210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32.376 - -32.37562874. Round c to five decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((0 + 2*sqrt(300))**2 + (2*(sqrt(300) + 2))**2)*-1 + -3 + 4.\nAnswer: -7247 - 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (131 - 127) + (0 - (-3 + 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1754 + -1743. Let o(q) = 2*q. Let g be o(3). Solve -g*l + v + 1 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 5*k + 3 - 7*k**2 + 17\/3*k**3. Let b(p) = -6*p**2 + 5*p - 2. Suppose -11 = -0*f - f. Determine f*b(h) + 4*m(h).\nAnswer: 2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128338028*r - 155132781 with respect to r.\nAnswer: -128338028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10786 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: What is -0.00000015010186 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 5*k. Let s(f) = -f**3 - 6*f - 1. Let n(u) = 5*l(u) + 4*s(u). Give n(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 23*i**2 - 36*i - 98*i + 133*i. Determine g(2).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 129254022 or -2\/15?\nAnswer: 129254022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 times -29\nAnswer: 4.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 736080 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1029 - 1035. Let a(s) = 5*s**3 + 9*s**2 - 4*s + 6. Let k(u) = 4*u**3 + 8*u**2 - 5*u + 5. Let r(j) = 3*a(j) - 4*k(j). Determine r(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 15. Let r be 24\/v + 10\/(-15). Let s = 664 - 659. What is the second smallest value in r, s, -5, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -463 + 769. Calculate the remainder when o is divided by 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251266 + 375038 = 42*y. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5498 and 53525779.\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 14*g + 523. Let k(a) = a**2. Determine k(u(b)).\nAnswer: 196*b**2 + 14644*b + 273529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6310500 and 93155.\nAnswer: 3005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6198 = -13179*t + 13093*t - 866 for t.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 - ((4 - 2) + 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -7*t + 12*t. Suppose -s = -0*y - 3*y + 10, -5 = -t*y - s. Let n be (y\/(-2) + 0)\/((-45)\/480). What is the greatest common factor of n and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137\/230, 0.1, 2\/9, -19\/5.\nAnswer: -19\/5, -137\/230, 0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a decade in months?\nAnswer: 2460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 11, y: 7}. Give prob of picking 4 y.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 54548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*u - 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 4*o**2 - 3*o + 11. Let z be k(-5). Solve -2*q + q = -z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**4\/4 + g**3\/2 - 3*g**2 + 15*g. Factor u(b).\nAnswer: 3*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 1. Let y(v) = -28*v - 14. Give -14*w(t) - y(t).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6148 (base 9) in base 14?\nAnswer: 18d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20248, -19603, -18530, -17023, -15076, -12683, -9838, -6535?\nAnswer: -2768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/27 and 41\/8989695?\nAnswer: 26969085","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 1206394 and -1.\nAnswer: -1206394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(2\/(-8)*2). Calculate the remainder when 18 - (w\/(-2) + -3) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/35, -3\/2, 2\/13, -2, 0 in decreasing order.\nAnswer: 2\/13, 1\/35, 0, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.482964 and 4.\nAnswer: 4.482964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5 = 4*r - g, 5*r + 3*g = -4. What is the tens digit of (1 - -44)*r\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4133 - 3163. What is the highest common factor of 50 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - (9\/3)\/3. Suppose 27 = -a - s*q + 77, 2*a + 2*q - 84 = 0. Calculate the remainder when a is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(19) + (sqrt(19) + 2 - sqrt(19)) + sqrt(19) + 6*sqrt(19)*-4 - (5 + (sqrt(1900) - (sqrt(1900) - sqrt(1900)*3)) + -1))*-1)**2.\nAnswer: 624*sqrt(19) + 51412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8076641 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 31, 39, 51, 67?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g - 2*g)*(-g**3 - 3*g**3 + 6*g**3) + 419*g**3 - 40*g**4 + 410*g**3 - 826*g**3.\nAnswer: -46*g**4 + 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 9910, 0, -4, -2 in decreasing order.\nAnswer: 9910, 0.02, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23488512 a multiple of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1267*t**2 - 1800*t.\nAnswer: 2534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145.3 - -145. Let l = 2.02 - 0.02. Let g = l - 4. Put g, c, -1\/2 in increasing order.\nAnswer: g, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33875*k + u = 33881*k + 136, -k - 42 = -5*u for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, -2\/23, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10442 + 33211. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 + 12404?\nAnswer: 12233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 - 22*r**2 + 9*r + 26. Let i be b(-14). What is i rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1343571\/4 - -338308. Let x = k - 2399. Let a = -91611\/20 + 4583. Find the common denominator of x and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)\/(r**16\/r*r)*r**(1\/11)\/((r**(3\/2)*r)\/r))**(-2\/165) assuming r is positive.\nAnswer: r**(493\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c + 9 - 9 + (4*c - 3*c - 2*c)*(5 + 0 - 3) + c + c - c)*(c**2 + 4 - 4).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c - 9. List the prime factors of o(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 390 and 117.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/49))**(-42)*(y*y\/((y**(-1\/27)*y)\/y)*y)\/y**(-2\/9))**(-7) assuming y is positive.\nAnswer: y**(6998\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4646, 9753, 14876, 20015, 25170, 30341?\n\"Answer: 8*g**2 + 5083*g - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -736 - -740. Solve -2*h = z + 6, -w*h - 5*z = -2*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*y - 6*y**4 - 3*y**2 + 22*y + 6*y**4 + 11*y**2 + 5 - 9*y**4 to s*y**4 + c*y + j*y**2 + o*y**3 + a and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2745 - 25\/(225\/(-18))?\nAnswer: 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4872 + -4872.1. Let h = 0.5 + -1.5. What is the biggest value in 1, 0.4, h, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/77 + -261\/385. Suppose 0*m - 4 = 4*t - 5*m, -2 = 2*t - 5*m. Let u = t + 1. Is b greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*a = 6, 0*v - 5*v + 9 = -a. Suppose 4 = -0*b - 2*b. Sort -5, b, v.\nAnswer: -5, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-24))\/(2\/16)*14773\/3476.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 5*m - 3*m + 14*m. Suppose -4*c = -g + 10, -4*g - 3*c + 1 + 1 = 0. Let j(d) = g*d**2 + 1 - 1. What is o(j(r))?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/25*(-1 + -4). Suppose h = l + 2. Let s be 30\/(-525) - 101\/70. What is the nearest to l in 1\/4, -4, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-7))\/(1\/(-1)). Suppose w*q + q = 0. Suppose 2*u + 2 = -q*u. Put 1, 4, u in decreasing order.\nAnswer: 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -425*j + 3863. Give m(9).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*i - 12, -i + 3*r - 9 = -0*i. Suppose i = -2*x - x - 3*c + 60, -20 = 4*c. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(1\/(-2) - 0). Suppose 6 = 3*m - m. Find the second derivative of -d - u*d + 4*d - 2*d**m wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + ((-657)\/(-114) - 2) and -13\/3?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u - 9088 = -8913 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 22*r - 21*r - 3, -5*n = -5*r - 45 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*((-13)\/(-15))\/(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22586464309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -544 - -541. Which is the nearest to -14? (a) 2\/19 (b) 0.06 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7674584 is divided by 294.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 16. Let q be x(21). Suppose 5*t - q*z = 25, -4*t + 2*t = -z - 5. Solve -5*r = -t - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23619 + 308*b - 23619)*(-2*b + 6 + 4 + 3*b - 4).\nAnswer: 308*b**2 + 1848*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -18\/7, -5, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12*y = 12*y. Let s(w) be the second derivative of 0*w**3 + y + w + 0*w**2 - 1\/12*w**4. Let m(v) = 6*v. Calculate m(s(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2376962471?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*g = 169, -t = t - 2*g - 84. Calculate the remainder when t is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 17287036 = -2*c + 4*c, -4*c = 5*j - 34574054. Let b = c - 12183528. Let y be (-2)\/1 - b\/6. What is y rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18635, -18649, -18651, -18635, -18595, -18525, -18419?\n\"Answer: o**3 - 21*o - 18615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -2\/31 (b) 0.2 (c) -2\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16384.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-3)*(4 - (-24)\/(-15)). Let k be (d\/12)\/(1\/6). What is the greatest common factor of k and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 14*u - 51. What is the hundreds digit of a(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*g - 7 = 0, 4*g - 1 - 1 = -2*j. Let o(l) = -5 - 4 + 3 - 5*l + j + l**2. Determine o(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1023\/5 - -204. Let p = -0.3 + 0.2. Let y = 0.06 + -4.06. What is the nearest to p in -5, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509 = 397*j - 5355 - 5476 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 22*l - 552. Suppose -5*v - 4*q - 39 = 32, 4*q + 5 = v. Let o = l + v. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 6. Let h be d(-6). Let q be 4\/96*(-4)\/2. Let w = -5\/12 - q. Does w = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 373 or 5963\/16?\nAnswer: 5963\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n. Let m(t) = t**3 - t**2 + 11*t. Let j(z) = 4*m(z) - 44*s(z). Factor j(b).\nAnswer: 4*b**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) 2 (c) 0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -16*u**2 - 10*u. Let t(d) = 5*d**2 + 3*d. Let h be (-135)\/(-18)*4\/10. What is h*j(q) + 10*t(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + (-20)\/(-8) + (-78)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*h + 9. What is the first derivative of -43*c**4 + 9 + h*c - 14*c + 5*c wrt c?\nAnswer: -172*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l + 8 = 17*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 10*x + 16. Let j = -14 + 11. Calculate the smallest common multiple of ((-2)\/3)\/(2\/j) and l(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/138*((1\/1)\/(-7))\/((-670)\/14070).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6600)\/(-67 + 199))\/((75\/(-20))\/(-3))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2373110 by -5.\nAnswer: -474622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 9*n**2 - n**3 - 7*n + 3 - 14*n**2. Let a be b(-4). What is the greatest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(363) - sqrt(363)*3 - sqrt(363)) + -5.\nAnswer: -33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-5))\/((-2)\/(-10)). Let i(d) = -3*d**2 - 5*d. Let x(r) = 8*r**2 + 14*r. Let u(h) = h**2 - 3*h - 29. Let q be u(-5). Determine l*x(f) + q*i(f).\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 34*s - 446. Let r be o(13). Let b(y) = 8*y - 4. Let c(t) = 3 + 351*t - 342*t - 6. What is r*c(v) + 3*b(v)?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - 1.1. Let z = i - -2. Suppose 4*q - 12 = 2*p - 26, p - 1 = 0. What is the nearest to 0 in q, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18 and -0.59.\nAnswer: -18.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134356 is divided by 66625?\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/3 (b) 4 (c) -2\/9 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.09 - 0.09. Let l = q + -8.2. Suppose 5*m = -0*m + 5. Which is smaller: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9877902 and 0.5.\nAnswer: 4938951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 1234 - 1234)*(-2 + 1 + 3 + (-5 + 0 + 4)*(-1 + 0 + 0)) + 3*x + x - 2*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43200893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -660?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 s, and 1 c when three letters picked without replacement from dyaoosyc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 6*x + 7. Give n(11).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhphspphpphphppppsp. What is prob of picking 1 p and 2 h?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 399\/11, 4\/3, 5, -1\/2, 4 in ascending order.\nAnswer: -2, -1\/2, 4\/3, 4, 5, 399\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.243 + 0.343. Let o = 9 - 7. Which is the nearest to o? (a) -1 (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 86*k*p - 2*k - p - 15 wrt k?\nAnswer: 86*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j. Let u be 4\/(-6) - 6\/(-9). Let d be c(u). Let -4 + 3*q**2 + d*q + 5 + q**3 + 3*q = 0. What is q?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 8*i - 5. Let n be k(7). What is t in -4*t**2 - 2*t**2 - 4*t**n + 6*t**2 + 32*t - 64 = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 k when four letters picked without replacement from kaakuaaaaaku.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2 - (1 - 0)) + -1)*-2. Let u(m) = 9 - 2 + m**3 - 10*m + v*m**2 + 6 + m. Let n be u(-9). Which is the second smallest value? (a) 1 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 11:07 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-45)\/(v**1)**(-29))**3 assuming v is positive.\nAnswer: v**222","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-3 - -4) - -12. Suppose -192 = -n*x + 2*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 12*k**2 - 2*k + 12. Let j be l(-6). Let o be 1\/1*(-3 - j\/(-3)). Let r(w) = -w**3 + 5*w**2 - w + 4. What is r(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 3584 = 8*h. Let c be 2\/8*10*h\/280. Solve -c*z + 20 = 4*t, 4*z - 5*t + 9 + 7 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -707906 or -9202784\/13?\nAnswer: -9202784\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + c = -11, -k + 5*c = 3*c + 3. Let d(i) = 3*i**3 - 6*i**2 + 6*i - 6. Let u(y) = -3*y**3 + 5*y**2 - 5*y + 5. Calculate k*d(b) + 6*u(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*t, -3*r + 6*r - 104 = 2*t. Suppose -3*v + 4*q + 35 = 0, 0 = 2*v - v - 4*q - 1. Calculate the remainder when r is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.192 and 256361?\nAnswer: 256361.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-2\/5)*g*g))\/g*g)\/g**3)**(-1\/3)*(g**(1\/3)*g)\/((g\/g**3)\/g)*g**(-1\/5)\/(g**(2\/13)\/g) assuming g is positive.\nAnswer: g**(241\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 44 (b) -3 (c) 0.2 (d) -1 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 258, 259, 260?\n\"Answer: i + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*a - 6*x - 16, 4 = -2*a - 2*x. Let v = 8 - a. Suppose -v = -3*h + 14. What is the remainder when h is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.96822 months to years.\nAnswer: 2.580685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/((u*u\/u**(-2\/11))\/u*u)))\/u**4)\/((u*u\/(u*u\/u**(1\/3)))\/u*u*u**(-7)*u)*(u**(-3)\/u**5)\/(u\/u**(1\/4)*u)**30 assuming u is positive.\nAnswer: u**(-3805\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1148 = 847. Let k be 4\/6 - f\/(-15). Let -7*q**2 + 1\/3 - 108*q**5 + k*q**3 + 72*q**4 - 7\/3*q = 0. Calculate q.\nAnswer: -1\/3, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*s = -862522. Let x = 718438 + -1225916. Let i = s + x. What is i rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 183 - 89 = 0. What is the remainder when o is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b - 5*b**3 + 3*b + 0*b - b**3 + 0*b + (1 - 2 - 1)*(0*b**3 - 5*b**3 + 4*b**3) + 2*b**3 - 2*b**2 + 2*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 divided by 5?\nAnswer: 267\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 52 - (2\/3 - (-64)\/(-24)). Determine m so that -600*m**3 - 27*m**5 - 210*m**4 - 8*m - 720*m**2 + 42 + k - 33*m - 199*m = 0.\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.171415s?\nAnswer: 171.415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1959252 from 0.057.\nAnswer: -1959251.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 - 2*k**2 - 4*k + 4. Suppose 6 = 8*j - 5*j. Let q be y(j). Solve q*p = c + 5, -3*p + c + c + 10 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1502523 (base 7) to base 2.\nAnswer: 110001011110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*o - 173*o = 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 10*r**2 - 9*r - 17. Let h be 5\/(((-2)\/(-3))\/2). Suppose -39 + h = -2*g. Calculate the least common multiple of g and p(11).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8*0\/(-4). Suppose p*i + 2*i = 6. Suppose 0 = -h - i*h + 148. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 5, 45, 3, 643 in decreasing order.\nAnswer: 643, 45, 5, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-3\/8))\/s*s*s**(9\/2)*s*s)\/(s*(s*s**(1\/16))\/s)**(-33) assuming s is positive.\nAnswer: s**(687\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 13002044?\nAnswer: 13002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -308*j**3 - 11*j**2 + 121*j. Let b be i(-4). What is b rounded to the nearest 100?\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 5023 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -4.6. Let r = -1949\/62 - -63\/2. Let w = r + 25\/93. Put g, w, 2\/21 in ascending order.\nAnswer: g, 2\/21, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*k - 87*k - 96 = 0. Suppose -1361 - 1189 = -k*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*q + n, -7 = 3*q - n - 0*n. Let l(p) = -6*p - 29. Let d be l(q). Is 4 a factor of (d - -12)\/((-3)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1105747, 2211512, 3317279, 4423048?\n\"Answer: s**2 + 1105762*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 8 = -4*a, -3*i + 5*i = -3*a + 6. Sort i, 4, -5 in decreasing order.\nAnswer: 4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -36*f**2 + 27*f**5 - 4*f**2 + 23*f**5 + 205*f**4 + 10*f**3 = 0.\nAnswer: -4, -1\/2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*d + 9*d + 28 - 2*d wrt d.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1885*v + 222*v**2 - 753*v**2 - 3 - 1887*v to n*v + u + q*v**2 and give q.\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1717 or -37749\/22?\nAnswer: -1717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p + 177 + 33. Let q(t) = -p - 22*t + 18*t + 17. Give q(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 10*h - 9. Suppose -n = -6*n + 40. Let g be z(n). Suppose 3*y - g*y = 0. Solve -4 = -2*f - y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 23 + 18 + (-28 - -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/3 + (-3)\/9. Calculate the common denominator of (-1989)\/594 - c\/(-6) and (-268)\/6*6\/(-80).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34559189.\nAnswer: 7, 4937027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 20*y - 825 = 3*h, -5*h - 4*y - 1375 = 0. Let g = 435 + h. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, -97, -236, -391, -568?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5680008 = -2*t - 4*r, -5*t = 3*r - 5177791 - 9022215. Round t to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 715 and 550.\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 7. What is the second derivative of 5*i**2 - v*i**2 + 5*i - 2*i**4 wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4 + 531*c**3 - 25184*c**2 - 38709*c - 12992 = 0. Calculate c.\nAnswer: -1, -1\/2, 64, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**5 - 5*b**3*u**3 + 2*b*u - 745*u**3 wrt b?\nAnswer: -20*b**3 - 30*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 5. Let r be y(3). Sort -5, r, 3, 4 in descending order.\nAnswer: 4, 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3485.997 millennia to centuries.\nAnswer: 34859.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 828669?\nAnswer: -8286.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.7 and 359215?\nAnswer: -1688310.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-3 - 5) + 11) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28524 - 28513. Let u(o) = o + 48. Let r be u(0). Suppose -x = v*x - r. Solve -5*b = w, 2*w - x*b = -0*w - 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1500\/94500*504\/182.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17488 divided by 463.\nAnswer: 17488\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -956 + 950. Suppose 5*r - 4*y = -33, 4*r + y + 23 = -r. Let z be x\/(r - -2) - -110. What is the highest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = h + 16, -4*d + 2*h + 2*h + 4 = 0. Suppose 0 = -2*u + 4*f + 3664, d*f - 1 = -6. What is u rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 94*b**2 - 222*b + 126. Let l(i) be the second derivative of 70*i**4\/3 - 665*i**3\/6 + 377*i**2\/2 - 7*i + 2. Let p(j) = -2*l(j) + 7*z(j). Factor p(n).\nAnswer: 2*(7*n - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1187*j - 590*j - 590*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 - 7\/20. Let b = d + 9\/20. What is the closest to 0 in b, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 335 - 330. Which is the closest to -2? (a) 17 (b) m (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - 2) - (-55 + 50)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 5 (c) 54\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 292783\/20 + -14643. Let g = j - -18\/5. Which is the second smallest value? (a) g (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 3. Let d be (156\/(-30))\/((-3)\/(-15)) + -4. Let a = 36 + d. Let x be (-1)\/((a\/3)\/((-6)\/(-1))). Calculate u(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 + 3*s + 3. Let m(b) = b**2 + b + 1. Give -2*i(n) + 6*m(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, j: 7}. Give prob of picking 2 f and 1 j.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4977373651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-18\/5)*u**(-8))**(1\/2) assuming u is positive.\nAnswer: u**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.087 + 2.137. Let z = o + -0.05. Let u = -0.1 - 0.9. Is u smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3284.184 and -0.4?\nAnswer: 3284.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) - (-5 + sqrt(68)\/sqrt(4)))*-4.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**3 - l**2 + l + 1. Let d(x) = -6*x**3 + 75*x**2 + 247*x - 321. Let h(v) = -2*d(v) - 2*f(v). Factor h(z).\nAnswer: 4*(z - 40)*(z - 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 734.6 + -734.77. What is s rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-6)\/(-2)) + 4. Let z be 6\/5 + n\/(-10). Let d(i) = 160000*i**3 + i**2 - 2*i + 1. Let c be d(z). Round c to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 10*k - 5*x = 31, 4*x + 20 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(95) + 2*sqrt(95)*-2)\/(6*1*sqrt(5)))**2*5.\nAnswer: 15*sqrt(19) + 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 154.\nAnswer: -3\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 1233. Let m(s) = s + 616. Calculate 3*a(d) + 5*m(d).\nAnswer: 2*d - 619","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 >= 4555\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1453, -1456, -1471, -1504, -1561, -1648, -1771, -1936?\nAnswer: -2149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 c when three letters picked without replacement from {r: 4, c: 3, u: 7}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.274 - 6.724. Let y = g + 3.45. Which is smaller: y or 68?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 - 31. Suppose -2*m = -5*m + o. What is the second derivative of -b**5 - 2*b**m - b + b**5 wrt b?\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37329 is divided by 37326.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*k + 3528, 3*w + 12*k = 17*k + 2617. What are the prime factors of w?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h + 8. Let v(q) = 5*q + 4. What is 7*v(a) - 4*w(a)?\nAnswer: -a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 674533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82*d**3*i*t**3 - d**3*i*t + 4*d**2 - 2*d*i*t**2 - 2*d*t**2 - 7*i + 22*t**4 wrt t.\nAnswer: 492*d**3*i + 528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from kmngp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50967863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*v**2 - 55*v**2 + 32 - v + 655*v**3 - 37 + 2058*v**3 wrt v?\nAnswer: 16278*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = -3*q - 5, 0 = 2*r - 2*q - 6. Suppose -g + 3*b + 58 = 0, -2*b = -r*g + 4*g - 132. What is the highest common factor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6734073592 and 7.5.\nAnswer: 6734073599.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 355255 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*w**2 + 49*w**2 + 10*w - 21*w**2 + 1 + 4*w + 3 to p*w**2 + g*w + h and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, w: 5, j: 1, r: 8, s: 3}. Give prob of sequence rr.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k\/(k**(-1\/2)*k))**(-1\/54)\/((k*k*k**(-1\/14)\/k)\/k**(2\/9)) assuming k is positive.\nAnswer: k**(-583\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 359786 and 145075?\nAnswer: 8994650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181, 181, 183, 187, 193, 201?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1112022115*a**2 - 586997417*a?\nAnswer: -2224044230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39455610.514 + 5.\nAnswer: 39455615.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*i**5 - i**3 - 333*i**2?\nAnswer: 2220*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d - 29791 + 29805 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 16*g - 14. Determine h(-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 358853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1337795.2 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 2*b**3\/3 - 40*b**2 - 42*b + 329. Is 24 a factor of j(45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 89, 187, 285?\n\"Answer: 98*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*b + 50 = 0, 0 = o - 3*b - 33 - 3. Is 13 a factor of (o\/(-8))\/(20\/(-1040))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 11:28 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/12)\/((-2)\/21*2). Let q(x) = -3*x + 3. Let z be q(5). Let b = 17 + z. Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64214 (base 14) in base 5?\nAnswer: 30220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 2. Find the common denominator of 73\/4 and 1 + r\/(180\/327).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**3\/5 + 5064996*f**2\/5 + 10129976*f\/5 = 0 for f.\nAnswer: -1266247, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2138*l - 34932 = 24661 + 17375 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 z, and 1 d when three letters picked without replacement from yzydzcctmmzytczm.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 179.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -123*a**3 - 2*a**2 - 14. Let i(j) = -41*j**3 - j**2 - 5. Calculate -8*i(d) + 3*k(d).\nAnswer: -41*d**3 + 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4027183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*o**2 - 2*o + 321 - 11*o**2 - 439 + 2*o**3 to the form r*o + k*o**3 + z*o**2 + w and give w.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-24)*(-17)\/((-68)\/(-24)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.7 + -9.7. Put 4\/5, 0.06, t in decreasing order.\nAnswer: 4\/5, 0.06, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 f, and 1 g when four letters picked without replacement from {m: 4, f: 1, g: 3, a: 5, p: 5}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 304, 468, 648, 850, 1080?\nAnswer: 1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.11 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 6*d - 19 = -4*d, 3*o - 3*d = 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.947415 meters in centimeters?\nAnswer: 294.7415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u + 40*u = -3*k - 15, 4*u = -k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - x. Let c(y) = 5*y**2 + 4*y - 120. What is c(n) + 3*o(n)?\nAnswer: 2*n**2 + n - 120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 + -48 + 38 + -60 + 16.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 + 2. Let p be u(3). Suppose -5*t = p + 14. Let k = -9 - t. Solve 3 = -4*l + k*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 5*o. Let v(q) = q**3 - q. Give -d(s) - 5*v(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 9. Suppose c + i - l - 13 = 0, c - 3*i - 26 = 0. Let s = 34 - c. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51219*y = -51216*y + 4*m + 109, 2*y - m - 19 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:39 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -851 - -846. Does 22 divide d\/(-25) + (-3076)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21871678403 - -5?\nAnswer: -21871678398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -157178.44 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - bd8a9?\nAnswer: -bd8a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -413*u + 19. Let n be w(-2). Suppose n = 5*v - 4*t, 2*v + 4*t = 248 + 118. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12805*s = 1262*s + 923440 for s.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(220)\/sqrt(4))\/(sqrt(5) + sqrt(5) + sqrt(25)\/(sqrt(5)*1)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98621.76 years in centuries?\nAnswer: 986.2176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 391 - 313. Let a(t) = t**3 + 3*t**2 - 2*t + 4. Let c be a(3). What is the highest common factor of x and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0*l + 8. Let t be -2 - (-4 + 2 + l). Solve -20 = t*x - 0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-45)\/(-35) - 52\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 11:41 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m. Let q(x) = x + 22. Determine q(n(w)).\nAnswer: -9*w + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 5, 1, -126, -81?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 9*m = 4*k - 2160, -4*k + 2166 = m. What is the remainder when k is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f - 148. Let k be q(-37). Solve -j + 3*m + 13 = k, 2*m + 18 = 2*j - 2*m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 59\/11 (b) 0.3 (c) -0.1 (d) -5\/8 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**5\/30 + b**4\/3 + 4*b**3\/3 + 3*b**2\/2 + 3*b. Let k(f) be the first derivative of q(f). Factor k(w).\nAnswer: 2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4621402 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377*d + 375*d = -10. Let o(s) = 4*s + 6. Let a(b) = -3*b - 5. Determine d*a(v) + 4*o(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-1))**(1\/40)*(l*l**1)\/l*l**(-1\/5))**(-35))**19 assuming l is positive.\nAnswer: l**(-2261\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*a - 210*a - 2*z + 20 = -107*a, -3*a - 85 = -11*z for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*o + 37*o**2 + 67*o + 64*o as d*o + r*o**2 + a and give r.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42393 and 27?\nAnswer: 381537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 - 2) + 0 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 6:15 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 25, 49, 83, 127?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.898 + -0.098. Let s = n - 14. Sort 3, -3\/5, s.\nAnswer: -3\/5, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263839 is divided by 4628?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38880 divided by 1944?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + sqrt(2268) - sqrt(2268))**2 + sqrt(196)\/(sqrt(35)\/sqrt(5)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 - 119.6. Let k = d - -19. Let o = 1.6004 + k. What is o rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*p + 48*p - 1456. What is the highest common divisor of 280 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 1. Let o(r) be the first derivative of 3*r**2\/2 - 3*r - 22. Give 2*o(l) - 7*t(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.7, -1115?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8603 + 8531 = -9*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11623*b**6*x + 6*b**4*x - b**2*x + 292362 wrt b.\nAnswer: 1394760*b**3*x + 144*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(2 + -4) + 4. Let x(t) = t**2 - 27*t + 26. Let z be x(26). Suppose z = -2*k + r, -3*k + 10 = 4*u - 5*k. Sort u, 0, -2 in increasing order.\nAnswer: -2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 16)*(-4)\/(-4). Let t be (-4)\/j - 29\/(-9). Solve 0 = -0*v + t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 12:12 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -64. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 + 7*p**2 - 4. Let r(k) = 4*k**3 + 8*k**2 + k - 3. Let w(h) = 3*g(h) - 2*r(h). Calculate w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 82*x - 38. Suppose -5*d - 62 - 43 = 0. Let a be n(d). Put 5, 1\/28, a in increasing order.\nAnswer: 1\/28, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519204?\nAnswer: 2, 3, 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1791167*g - 1791167*g - 104*g**2.\nAnswer: -104*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + (-2 - -5))*-1. Let h(y) = 3*y - 11. Let f(t) = t - 5. Determine p*f(c) + 2*h(c).\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 459, 1002, 1515, 1986, 2403, 2754, 3027?\nAnswer: 3210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 - -23.05. Let m = n + -22.5. Let t = -5 - -7\/2. Which is the nearest to -0.2? (a) t (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*d**3 + 42*d**3 + 18*d**3 + 175*d**2 - 350*d**2 + 175*d**2.\nAnswer: 93*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3448.691835 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129.5 or 5\/7?\nAnswer: -129.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 36. Let p be (-4)\/(-12) + a\/(-3). Solve 0 = -4*q + p, -5*v + 10*v = 5*q - 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(sqrt(1377) + 1 + 2) + (2*sqrt(1377) + -4 - (-3 + -1 + sqrt(1377))))**2.\nAnswer: -69498 - 3240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 - -1.9. Let x be -2*1*2\/(-10). Is k >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11\/5 (b) -1.21 (c) 0 (d) -2\/3 (e) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.3, 4, 0, -53, -2, 1 in descending order.\nAnswer: 5, 4, 1, 0, -0.3, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 16*g**2 - 18*g - 8. Let n be u(13). Let a be (-9)\/(-15) + (-1572)\/(-30). What is the highest common factor of a and n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 + 164 = 0. What is the highest common divisor of 168 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34a56a6 (base 12) to base 4\nAnswer: 212302332132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027138421 rounded to seven dps?\nAnswer: -0.0000271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 84 + 192730*m + 162.\nAnswer: 192730*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 8*p**2 + 24*p - 4. Let m be x(10). Let t be ((1 - -1) + 20)*234\/m. Calculate the highest common divisor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 2*w**2 - 13. Calculate a(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 3*j**2 - 19 + 18*j + 1\/6*j**3. Factor n(i).\nAnswer: (i + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*b**2*d**2*u**3 - 3695*b**2*d**2*u**2 + 2*b**2*d*u**2 - 10*b*d**2*u**3 wrt u.\nAnswer: -90*b**2*d**2 - 60*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 57. What is the nearest to 1\/8 in -4, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s. Let v(d) = -d**2 + 241*d + 2. Calculate b(v(k)).\nAnswer: k**2 - 241*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14151372359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u**3 - u**3 + 0*u**3)*(-2*u + u + 3*u) + 4*u**4 + 0*u**4 - 2*u**4.\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12010120212 (base 3) in base 6?\nAnswer: 2055422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-64)\/14 + 3 + 2. Let p = 11 - 7. Which is the second smallest value? (a) p (b) 4\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - w - 18, 4*w = 7*w - 6. Suppose -x*q = -3*y - 25, -2*q - 4*y = -0*q - 10. Let h be (14\/4)\/((-2)\/(-12)). Solve h = q*a - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 42 = -120. Let k = -26 + y. Let f = -6.91 - -7. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -210*h**4 + 45*h**2 + 210*h**4 + 3*h**3 - 4*h**3 - 32*h**6 wrt h?\nAnswer: -3840*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1206, -2393, -3580, -4767, -5954?\nAnswer: -7141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12952192 divided by 34.\nAnswer: 6476096\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 5*p**2 - 177*p**3 + 2*p**2.\nAnswer: -177*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003576651913 to 7 decimal places.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-7 + -21 - -13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27084 divided by -1828\nAnswer: 6771\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -21*x. Let w(f) = 3*f - 4. Let u(r) = 13*r - 18. Let h(s) = 2*u(s) - 9*w(s). What is h(t(j))?\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -252 and -217411224.2381.\nAnswer: -217411476.2381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 12 = 3*m - 2*t, t + 11 = -3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 4 + 3)*(3 - 2 - 2) + (4 + 2 - 3)*(-2 - 3 + 2) - 6 - 2 + 10)*(t + 3*t - 5*t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14868*g = 44827*g - 14960*g - 14837*g + 24624 for g.\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 502 - 501.789. What is b rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22774 and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1163 + 0*j - 1965 + 3*j.\nAnswer: 3*j - 802","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-10) - (-6)\/15. Let d be 8\/2 + y\/2. Suppose -d = 5*s - 40. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -554 - 6*b - 4*b + 551 to the form j + t*b and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4276*z**2 - z + 940 wrt z.\nAnswer: 8552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 143*g - 274. Is 92 a factor of t(54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -767961 (b) 9 (c) 2\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4961 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2756*h**4 - 2*h**2 - 1003?\nAnswer: 11024*h**3 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)*c*c**(2\/25)*(c\/((c**(-2\/21)\/c)\/c))\/(c\/(c*c**(6\/11)*c)) assuming c is positive.\nAnswer: c**(9937\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3. Let p(x) = -6*x - 1. Let l be p(i). Suppose -l*u + g - 7 = -27, -4*u = 5*g + 13. Solve -2*d + 3*m + 9 = 0, 3*d - 2*d - u*m = 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = 29*b - 2*v - 285480, 2*b + 5*v = 51943. What is the ten thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-4)\/(-4)*(-189)\/63).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 10*f**2 - 8*f + 17. What is r(9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5131*q**3 - 6342*q**2 - 55. Let m(o) = -1026*o**3 + 1269*o**2 + 10. Let l(h) = 2*c(h) + 11*m(h). Find the third derivative of l(j) wrt j.\nAnswer: -6144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - 2*-3*sqrt(156))\/(sqrt(120)\/(2*sqrt(10) + sqrt(10))) + (-1*sqrt(468) - sqrt(117)\/sqrt(900))**2 + -1.\nAnswer: 21*sqrt(13) + 48273\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22972201?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v = 3*a - 21, -20 = 5*v. Let p(o) = 3*o + 1. Let x be p(1). Which is smaller: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*v - 104, 0 = -5*n - 0*n - 2*v + 272. Suppose 2*q - n = 24. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(84))\/sqrt(12).\nAnswer: -2*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 31*v - 4. Is 24 a factor of f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -38. Let m = 3 - c. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 2:10 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 9 - 4) + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272516767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.01. Let a = -0.91 - v. Let z = 57 - 57.02. Which is bigger: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/316 and -23\/1113.\nAnswer: 351708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -478 - -480. Sort 66, 0.2, -0.1, v in decreasing order.\nAnswer: 66, v, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 337.911921 and 0.118906.\nAnswer: 338.030827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/21 + (-61)\/7. Suppose 4*u + 2*d + 48 = -0*d, -4*u - 68 = -3*d. Let b = g - u. Solve -f + 18 = -2*j + b, -5*f + 10 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190732826 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 7*a + 16. Let b be q(13). Suppose -4*y - 82 + b = 0. Solve 0 = 3*r + 2*d + 14, y = -3*d - 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 1 + 3*t - 2 - 2*t. Let z(o) = o**2 + 1. Let n(i) = 2*i**2 - 3*i + 1. Let r(u) = -2*n(u) - 4*z(u). Give 12*q(s) - 2*r(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 8*t**2 - 11*t + 9. Let o be d(-6). Suppose o*s + 3*g - 5 + 2 = 0, 4*g = -2*s + 6. Which is the nearest to s? (a) 4 (b) 1\/5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*r = 71908, -64*v - 5*r = -63*v - 14387. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10006, 10116, 10210, 10282, 10326, 10336?\nAnswer: 10306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {w: 3, s: 5, f: 2, i: 3, b: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fc - 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x + 13. Let j(v) = 1. Let n be (-8)\/(-10) - 4*27\/60. Let p(w) = n*i(w) + 6*j(w). What is the units digit of p(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61156*3.7\nAnswer: 226277.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 87 divided by 87\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*o + 164, o = 5*p + 81 - 256. Suppose -p = 4*h - 300. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. Let c(v) = -2*v**3 + v**2 - 1. Let u be c(a). Find the second derivative of u*i**3 + 0*i**3 + i**3 + 4*i - i wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from {q: 3, x: 2, b: 8, l: 4}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 3, 4, 1, -4, -18 in decreasing order.\nAnswer: 4, 3, 1, -4, -18, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -43\/2 (b) 0.3 (c) 6\/11 (d) -1 (e) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113391 + -49545. What is the ten thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29 - 3 - 21\/7. Let t = d + 20. What are the prime factors of t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 9, 1, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.7 + 8.7. Let w = -4.2 - 0.8. Let s = w + j. Sort -0.04, 1\/6, s in decreasing order.\nAnswer: 1\/6, -0.04, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 13. Let f = -134 + 134. Solve 46*t**3 + 3*t + f*t**4 + 0*t**s - 3*t**2 - 49*t**3 + 3*t**4 = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -236 + 232. Does 86 divide -7 - -1 - 2628\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(-9))\/(1 + 8\/(-6)). Let u = -23 - -51. Let g be (3 - -1)*(-1)\/(-28). Which is the smallest value? (a) n (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**7\/840 + i**4\/24 + i**3\/6 + i. Let w(z) be the second derivative of y(z). What is the derivative of w(b) wrt b?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -95*m + 3 + 37 + 87*m. What are the prime factors of s(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + q - 9 = 0, 4*a - 3*q - 2*q + 3 = 0. Suppose -a*c + 72 + 57 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 2\/13, 16 in decreasing order.\nAnswer: 16, 2\/13, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*z + 100 = 67*z. Let r(y) = 2*y**2 - 37*y - 48. What is the lowest common multiple of 28 and r(z)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.668*-4.\nAnswer: -2.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = i + 2*m, 6*m - 10*m = -2 + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10039\/36 + -1109\/4. Suppose 5*o = 5*k + 22475, 3*o + 3*k - 13481 = 2*k. Let l = o - 44847\/10. Calculate the common denominator of z and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7220 divided by -76\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 - 3*d**3 + d**3 + 3 - 2*d**3 - 3 + (-2*d + 0*d + 0*d)*(-4*d**2 - 2*d**2 + 2*d**2).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 309 and 20291.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 5*w - 80, -w + 2188 - 2196 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -464 or -0.344?\nAnswer: -464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 2 + 42 = b - 4*j, 0 = 5*b + 9*j + 159 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 6*x + 6. What is z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15606 = -441*m + 475*m. Calculate the greatest common factor of m and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 11013200?\nAnswer: -11013204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85973078*g + 85973158*g - 640 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*x - 5735 = -3516 + 4613 for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewewewdwwmwwzewm. Give prob of sequence mm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, x: 2, n: 2, t: 11}. What is prob of picking 1 n and 2 x?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659118 is divided by 220.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 39. Suppose 7*f = 4*f + r. Calculate the remainder when 19 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**3 + 5725240*o**2 - 5725225*o - 11450470 = 0. What is o?\nAnswer: -1, 2, 1145047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/5 (b) -3 (c) -0.132 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.57739 take away -2312?\nAnswer: 2299.42261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {f: 9, v: 3, x: 2, j: 1, q: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.14 - -17.9. Round n to one dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/12 - 10*q**3\/3 + 2*q**2 - 8*q. Let i be o(20). Solve 5*c - c - i = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -877*c**5 + 37*c**4 + 721*c wrt c.\nAnswer: -17540*c**3 + 444*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -238788 divided by -59697\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 753, 1500, 2261, 3036, 3825, 4628, 5445?\nAnswer: 6276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 - 3*t**2 + 4*t + 4. What are the prime factors of r(-4)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 20*y + y**2 + 0*y**2 - 21*y - 59*y**3 in the form v*y**3 + l*y + f + b*y**2 and give v.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 + 2 + 32*j**2 + j**3 - 3 - 41*j + 45*j - 39*j**5 wrt j.\nAnswer: -2340*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from hmuyhhbphhh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5828792?\nAnswer: 2, 127, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, m: 10}. What is prob of sequence emm?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + (-6 - (3 + -9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210737 divided by -2539.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 383 and 496368?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1978782231.\nAnswer: 3, 659594077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/15))\/(u\/u**5)*(u**4)**(-29) assuming u is positive.\nAnswer: u**(-1667\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81.86 - -1.86. Let g = h - -80.1. Sort 0.4, g, 2 in descending order.\nAnswer: 2, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767218 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 135320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -138 or -26501\/192?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7018 = 354*w - 5726 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*t**4 - 12646*t**3 + 54*t**2 + 1928*t + 2 wrt t.\nAnswer: 696*t - 75876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9522191.\nAnswer: 7, 1360313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4209866, -16839580, -37889104, -67358438, -105247582?\nAnswer: -151556536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1351002 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39076 or -39106?\nAnswer: -39106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1\/166 (c) -871\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1189 - -1264. Solve 0 = 25*b - v - 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-12) - 38\/(-6). Let x(a) = -l - a**2 + 3 + 2*a**2 + 8*a. What are the prime factors of x(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.4 - 9. Let z = r + -0.7. Let o = -0.51 + 1.01. Which is the smallest value? (a) o (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (816\/(-2856))\/(20\/18)*(-2)\/9?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1371 + -1361. Solve -18 = f*k - 16*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(-6*j + 5*j - 6*j)*(-1 - 1 + 0)*(2 + 1 - 2)*(0 + 2 + 0).\nAnswer: 56*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99564.\nAnswer: 2, 3, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 7*v**2 + 5*v + 7. Let h be k(6). Let l = 2 - h. Let f(q) = 13*q**3 + q**2 + q - 1. What are the prime factors of f(l)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 0 - 1\/6*i**3 + i + 0*i**2. Give z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 102?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -13. What is the second smallest value in 2, a, 8\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 512, 4, -2, -3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7064902.\nAnswer: 2, 13, 281, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -601*n. Let z(s) = -1533*s. Give z(i(x)).\nAnswer: 921333*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18 and 1.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -36319.1 rounded to the nearest 100?\nAnswer: -36300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -54*d + 21*d**3 - 19 + 120*d - 58*d. Let g be x(-9). Round g to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a gram in milligrams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + k**2 - 4*k - 4. What is the remainder when 141 is divided by b(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -8*k + 20. Let b be (k + -4)\/(-1) + 5. Suppose 0 = f + f + 6, 3751 = b*r - 2*f. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 9*y + 17 + (-4 + 0 + 5)*(-2 - 2 + 8)*(5*y - 5*y + 4*y))*(1 + 3 - 2)*(6 + 3 - 4).\nAnswer: 250*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -2, 1, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 942 + -940. Suppose -4*y + 24 = -0*y. Let a be 13\/2 + 3\/y. Solve 0*v + o*v = -2*h - 2, -2*v - 3*h - a = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, a: 1, z: 3, m: 1, j: 4}. What is prob of sequence zmvj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/222 and -71\/97560.\nAnswer: 3609720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1888)\/30 + 10*(-7)\/1050?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037687 to 4 dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -25*m + 146. Let l be z(6). Let p(s) = -4 - 2*s - 4 + 2. Let x be p(l). Solve 0 = 3*r + 5 - x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) -5 (c) -4.6 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3773?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 528\/(-1573) - (-8)\/52.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3*v + 3*v)*(v**2 + 2*v**2 - 2*v**2)*(2 - 5 + 1).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w - 6. Let j(q) = 4*q - 5. What is 6*d(k) - 7*j(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -7. Suppose -w*h = 1 + 17. Calculate the remainder when 664\/40 + h\/10 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38501?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 154, -10, -14, -3, -6 in descending order.\nAnswer: 154, -1, -3, -6, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 2*k**2 - k - 6. Let v be o(0). Let l be (4 - 3) + 10\/v. Which is greater: l or -25\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4*u - 4, 97*n - 13*u - 10 = 102*n - 8*u for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 256744 - 287?\nAnswer: 256446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 10 = -3*z - v, -3*v + 10 = 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*i + 41186, 2*i + 5*k - 1431 = 14997. Is i a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -163 (b) 30 (c) -19\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 292\/357 - -2\/51. Are p and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -314970*w**2 + 8 + 208650*w**2 - 346191*w**2 - 42*w. Let g be i(-4). What is g rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 - 3*j**3 - 1 - 4 + 5.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**3 + 2*i**2 - 3*i + 1. Let r(b) be the third derivative of b**6\/120 + b**5\/60 + b**4\/24 + b**3\/6 - 14*b**2 + 32. Calculate h(n) - 2*r(n).\nAnswer: n**3 - 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21199 is divided by 200.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14950 and -6.58.\nAnswer: 98371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 6:19 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 265 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -98.6 or -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w = -6. Let i be 21 + -3*3\/9. Solve i = w*x + x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0*f**3 + 1\/10*f**6 + 11\/2*f**2 - 17*f + 0*f**5 - 2 + 0*f**4. What is the first derivative of k(q) wrt q?\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*-5*((2*sqrt(147) + 0 + sqrt(147) - sqrt(147)) + sqrt(147) + -1*sqrt(147) + -3)**2*-2)*1.\nAnswer: -3360*sqrt(3) + 23882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1818 divide 23972148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1493 - -516.7507. Let n = -517 + k. Suppose -u - 18 = -5*j, 14 - 5 = -j - 4*u. Sort j, 0, n.\nAnswer: n, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176760 and 5760?\nAnswer: 2828160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 24*r**3 - 3*r**2 - 2*r**2.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 719 or 1\/8?\nAnswer: 719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 10\/(-8)*-4. Solve b*h = -4*c + 24, -5*h - 4*c = -9 - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 26 (b) -0.5 (c) -0.028 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8844450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 2*u**2 + 2*u**2)*(-417*u**2 + 9157 - 9157).\nAnswer: -417*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21222 (base 4) to base 14.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-126)\/8 - 1)\/(-2) and -37\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22597)\/3540 - 6\/(-45)\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, g: 1, j: 3, z: 1, e: 1, o: 2}. What is prob of picking 1 c and 1 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 330\/19 (c) -9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24597 = -1485*t + 67885 - 1897 for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 16 + 5 - 6 - 21*m. Let l be u(-3). Suppose 3*q - y = l, -4*y + 6 + 6 = 0. Solve 2*p = -3*p + q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3181769*j + 644959*j - 594648*j - 790*j**2 + 8830*j**2 + 5*j**3.\nAnswer: 5*j*(j + 804)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*u + 12573 = 10749 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 78 = -14*l + 17*l, -98 = -2*l - 7*x + 36 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + w - 14 - 5, -3*l + 2*w - 30 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163\/7 - (-2)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 19203*t - 76860.\nAnswer: 3*(t - 4)*(t + 6405)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-23)\/(-115)*(0 + -1). What is the smallest value in 0.5, s, -1\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1196 or -174?\nAnswer: -1196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 5*k + 4*v, -5*k + 66 = -4*v - 8. Solve -2*w = 5*n + k, 7 = -4*w - 5*n - 19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ooqo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 482.\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 - 79.3. What is the second smallest value in 0.99, -1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-12) - 54\/(-24). Suppose 4*v = 20, 0 = x*u - 0*v - v + 5. Solve u*y = y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 11*m**2 + 10*m + 2. Let j be y(3). Calculate the remainder when (-2)\/((0 + 3)\/(16260\/j)) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j - 8*j - 15 + 14*j.\nAnswer: -2*j - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*(sqrt(252)*2 + 5)*2*1*3)**2 + -4).\nAnswer: -594992 - 69120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*t + 1021, -3*t - 3*p - 1013 = t. Let k = -74 - t. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/13)*l**(-1)*(l*l**(-3)*l)\/l**(-1\/2)*(l**6\/l*l*l**(-2\/41))**(-40) assuming l is positive.\nAnswer: l**(-255523\/1066)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/84*371\/159 and -79\/1455?\nAnswer: 4365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2686 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17293.8706 rounded to the nearest ten?\nAnswer: -17290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*-1*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 4, 2 in decreasing order.\nAnswer: 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 19*d**3 - 5*d**2 + 2*d + 6. What is the hundreds digit of l(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -302*h - 14819. Calculate b(-49).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q. Let c(t) = 121*t - 60*t - 56*t. Give c(j(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -3)\/(-1) + 88 + 13242 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h - 13. Let o be z(11). Let r = 13 - o. Let w be r\/546 - 2\/(-12). Which is the biggest value? (a) w (b) 2\/11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -356113, -356135, -356161, -356191, -356225, -356263, -356305?\nAnswer: -356351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8371605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 155988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 26*j - 136. What is the remainder when 664 is divided by z(15)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -15, -9\/14, 4, -1, -1\/9, -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, 1, 195, 517?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115.065 + -0.065. Let a = w - 114.9796. What is a rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15276400 to the nearest one hundred thousand.\nAnswer: 15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 1. Let i(c) = -53*c**2 + 2*c + 5. Determine i(p) - 4*s(p).\nAnswer: -49*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247439748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -9 - (24 - -3 - 22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 1:55 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxgngingnni. What is prob of sequence gni?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*49 + (3 - 2). Let x be (-48008)\/(-680) + 16\/(-10). Let q = n + x. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b - 6. Let y = b - -10. Suppose -4*r = 5*c - 12, -4*c + y + 1 = 3*r. Solve -1 = -r*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 793594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.805768 - 0.03.\nAnswer: -2.835768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25, -64, -105, -148, -193, -240, -289?\n\"Answer: -v**2 - 36*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 11 = g. Suppose 0 = 2*a - 14. Calculate the remainder when g is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -204 + 204.1. Which is the closest to y? (a) -2 (b) -0.2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 12:26 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60.6 - 60.6001018. What is b rounded to six decimal places?\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 353*n**2*u**2 + 2*n*u**2 + 134*n*u wrt n?\nAnswer: 706*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 7 = 19. What is the common denominator of 27\/2 and d\/12*(4 + 118)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3484*a**6 - 2122*a**2.\nAnswer: -418080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -73, 3, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -218*j. Let w(p) = 2*p**2 + 2*p. Calculate a(w(z)).\nAnswer: -436*z**2 - 436*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 - 917*v + 914*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 5*z**3 - 2*z**3 + (3*z - 2*z + z)*(4*z**2 - z**2 + z**2).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 15. Let j be p(24). Suppose -5071 - 752 = -j*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**3 + p**2 - 12*p - 12. Determine v(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7680.637 litres to millilitres.\nAnswer: 7680637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -124 - -4?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 382771 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 4*g - 4. What is s(8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-5) + 82\/5. Suppose -y*j = -13*j - 69. Let h = j + 15. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.46, 1\/2, 0.02, -1\/3, 2\/11, -0.13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*b + 275695, -4*r + 68046 = -5*b - 299549. Suppose 0 = 4*u + 4*f - r, -2*f - 69757 = -4*u + 22113. Is u\/110 + (-4)\/(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 6*c + 114 = 0. Let g = 339 + -206. Calculate the highest common divisor of c and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05015285593 to six decimal places.\nAnswer: 0.050153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210200102 - 12000101?\nAnswer: -222200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2458991?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:06 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttmttmntn. Give prob of sequence mmtn.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-3 + (5 + -3 - -5))) + -28.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 20 = 28 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-1 + -8 + 18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 13*q**2. Let c(h) = -21*h + 7. Let t(m) = 11*m - 4. Let d(k) = 4*c(k) + 7*t(k). Determine d(o(p)).\nAnswer: -91*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5005 = -5*p - 0*j, 5*p = 2*j + 4996. Does 26 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75 - (94 - 158)) + (0 - -4) + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 426? (a) -0.5 (b) 0.09 (c) 0 (d) 2\/93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = 0. Suppose -j - 2*v - 1 = -8, s = 3*v - 3. Suppose h + j*o = 0, -2*o = o. Which is greater: h or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**4 - 4*g**4 + 6 - 2*g + 7 - 15 in the form b*g**4 + q*g**3 + w*g + c + x*g**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**24*m*m**24\/m)\/(((m**(1\/13)\/m)\/m)\/(m**(-10\/9)\/m)))**(7\/8) assuming m is positive.\nAnswer: m**(19579\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 29 + 4*f - 74 + 20 - 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**2 + 55*n + 179. List the prime factors of m(23).\nAnswer: 2, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 8.5. Sort 1\/42, b, 2.\nAnswer: 1\/42, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30356 divided by 17\nAnswer: -30356\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8828, -4, -3.\nAnswer: -8828, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*f**4 + 299*f**2 + 0*f**4 - f**3 - 299*f**2 + 1 + 60*f**4 to o*f**2 + q*f + a*f**3 + g*f**4 + d and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5 - 51\/3*-12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1093, -1132, -1173, -1210, -1237, -1248?\nAnswer: -1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12\/59 (b) 0 (c) 1\/5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100826, 100834, 100842, 100850, 100858?\nAnswer: 100866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2534179 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 2, i: 1, a: 2, n: 1, o: 1}. What is prob of picking 1 o and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m. Let n(x) = -1825*x**2. Determine n(z(s)).\nAnswer: -7300*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 5 - (-1 + 6). Let j be (0 - -4) + u\/4. Solve 0 = -j*v + 4*r - 20, -v + 2*r - 10 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145 - -75. Calculate the remainder when 141 is divided by ((-8)\/5)\/(7\/d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -8*y**2 - 5*y**2 + 11*y**2 + 38*y - 14*y = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.8 - 9.2. Let j = k - -21.5. Which is the second biggest value? (a) j (b) -0.4 (c) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8409?\nAnswer: 3, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 61?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 48107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + x - 16879 = 0, 4*u - 29763 = -2*x - 7261. List the prime factors of u.\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/128872485 or 1?\nAnswer: 2\/128872485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = s. Let q = s - -4. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 17*p**2 - p - 16. Let t be i(-17). Sort 2, t, 4, 7 in increasing order.\nAnswer: t, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 9 = 5*m. Suppose m*k - k - 10 = -3*t, 4*k + 4*t - 24 = 0. Solve 7*w - k*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121195557?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 57.949 and -0.19?\nAnswer: 58.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 15) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 305 + -303. Suppose 0 = 5*j + w*z + 23, -3*j + 2 = -4*z - 5. What is the nearest to 1\/3 in j, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3. Let o(q) = -5*q**3 + 0*q**3 + q - 11*q**2 - 17 + 2*q**2 + q. Let u(t) = -o(t) + 4*x(t). Does 7 divide u(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06714747 rounded to 4 dps?\nAnswer: -0.0671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(17)*-1)*2.\nAnswer: -2*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 30 = -5*w, 0*w + 3*w = q - 14. Find the first derivative of -305*j**3 + 152*j**3 + j**2 + 57 + 151*j**3 - 4*j**q wrt j.\nAnswer: -6*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4329360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-12) - (-9775)\/690. Calculate the greatest common divisor of 1134 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1070842*t**2 + 535303*t**2 + 535330*t**2.\nAnswer: -209*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*j - 70*j - 28*j - 228 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92\/147 + 2\/49. Let t = 0.9 + 0.1. Sort z, t, 5.\nAnswer: z, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 9*c**2. Let x(g) = 19*g**2 - 22*g + 2. Determine x(f(o)).\nAnswer: 1539*o**4 - 198*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rninrrsknsrp. What is prob of picking 1 i and 1 n?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4)*(478*t + 606*t - 2260*t - 2172*t).\nAnswer: 13392*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1079, -1094, -1109, -1124, -1139, -1154?\n\"Answer: -15*b - 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36613675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 + 17*q - 13 - 3*q**2 + 3*q**2 + 2*q**2. Let x be p(16). Suppose -277 = -x*d + i, -2*d = -i + 15 - 200. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -101*d - 11. Let y = 19 - 27. Is m(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123806147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 57074 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxx when three letters picked without replacement from {b: 5, x: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - v + 6. Calculate the remainder when 22 is divided by c(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 163*r**3\/3 - 995*r**2\/3 - 163*r\/3 + 995\/3 = 0.\nAnswer: -1, 1, 995\/163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 1:57 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 684 by -1182.\nAnswer: -114\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -31*h + 38. Determine i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**2 + 3*x**2 - 9*x**2 + x**3 - x**2 in the form u + b*x + n*x**2 + r*x**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2 + f**3 - 9*f - 3 - 8*f + 6 + 9*f. What is h(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882186 is divided by 2492?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2. Let o(t) = 189*t**2. Determine o(k(f)).\nAnswer: 189*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65\/42 + -12\/7. Let o be ((-18)\/(-15))\/((-2)\/(-10)). Calculate the common denominator of (1 - 43\/o) + -2 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofuffofgof. Give prob of picking 1 f and 1 u.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 9 = l, 5*r - 3*r = 5*l + 5. Let y(q) = -5*q**2 + 2*q - 1. Let m be y(3). Let j be 16\/m*(4 + 1). Put l, j, 3 in decreasing order.\nAnswer: 3, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174*(-15)\/(-360) + 9 + (-95)\/4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(168)\/sqrt(6)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.58 in 0.2, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -8\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(231) + sqrt(231)*-2 - sqrt(231))\/sqrt(11))\/(sqrt(135)\/sqrt(5))*2.\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 26*c - 22*c - 10 = 0, -4*c + 16 = 0. Sort 2, -8, h, 12, 4 in ascending order.\nAnswer: -8, h, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25590*v**4 + 31543*v**2 wrt v?\nAnswer: -614160*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/333 and -93\/814?\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (32 + -83 + 15).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.19 * 3.05\nAnswer: 3.6295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.51 + -0.91. Let w = y - -0.9. Sort w, -1\/12, -4, 0.\nAnswer: -4, -1\/12, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 23578581 + 23578581 + 4*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 8 - 8. Which is the second smallest value? (a) -2 (b) -1\/16 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 6*i - 3*y - 26, 5*y + 54 = 11*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354980 is divided by 32270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 2:05 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/48 + 11\/44?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 4468*r**2 - 8948*r + 4476.\nAnswer: 4*(r - 1)**2*(r + 1119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2307236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4803 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 9. Let v be l(-7). Let x(w) = 2*w - 2*w**2 - v*w. Let r(h) = -h**2. Determine r(x(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 44. Suppose 5*p = 3*q + 10780, 2*p - u*p - 4*q + 2179 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758.1411 nanoseconds in hours?\nAnswer: 0.00000000021059475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 0.10578697.\nAnswer: 0.042314788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + -6. Let r = -14 - d. Solve 2*t = 2*u, -r*t + t + 4*u + 6 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 0.1, 1\/4, -1760, 0.06, -1\/8, 0.08?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37627 - -54248. Suppose -d = -5*u + 59629. What is u rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 = 3. Suppose -j - b*j = -60. Solve 4*s + 0*s + 4*z - 16 = 0, 5*z = 3*s + j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7992 - -17545. What are the prime factors of y?\nAnswer: 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-4 - (-39)\/6))*(-100)\/150?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223683729 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 - 0.49. Which is the nearest to -1? (a) j (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43\/6 - 7. Let o = -1305 + 1299.21. Let s = o - -6.09. Sort -2\/3, s, -0.1, r in descending order.\nAnswer: s, r, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 314*y + 578*y - 262*y + 34 = -5*d, -5*y - 105 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-28 + 3)*1. Suppose -1 = 3*o - s. Calculate the greatest common divisor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7501148, -7501151, -7501154?\nAnswer: -7501157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1259, 2518, 3777?\nAnswer: 5036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16937, -33819, -50707, -67601, -84501, -101407?\nAnswer: -118319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z - 4*z + 2*z**2 - z**2. Suppose -15*g = 81 - 156. Determine u(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21360 - -5?\nAnswer: -21352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16593284 to the power of 1\/2, to the nearest integer?\nAnswer: 4073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 5. Let r be z(-3). Let n be 0\/(-3) + r\/(-16). Let j = -2 - -6. Which is the closest to n? (a) j (b) 0 (c) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(325)*-2 + sqrt(325) + (1 + sqrt(325) - sqrt(325))*1 + 1*(sqrt(325) + -3*(sqrt(325) + 1)))**2.\nAnswer: 150*sqrt(13) + 2950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.61401 take away -0.45905?\nAnswer: -33.15496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -28. Let w = 11.7098 - 11.7. Let k = p - w. Round k to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1429 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4212 and 64358892.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 5*n**8\/336 - 7*n**7\/24 + n**6 - 61*n**5\/48 + 25*n**4\/48 - 92*n**2. Determine x, given that w(x) = 0.\nAnswer: 0, 1\/4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 37*a - 787. What is t(-52)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 + 1?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3 = -i, 32 = -p + 2*i + 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 + 10*f - 12. Suppose 70*n - 66*n = 24. What is the tens digit of d(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 392 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:54 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7446 - -37498. Calculate the highest common factor of r and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 229 + -875\/4. Calculate the common denominator of f and -33\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - -34?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 11*m - 493. Determine c(41).\nAnswer: 1639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 12*w - 7*w. Let m be w\/15*2\/8. What is the nearest to 1\/2 in -2\/15, m, -5\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 738\/2583*(-7)\/(-18)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3 + 44607*q**2 - 44610*q = 0.\nAnswer: -14870, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.4, -2\/3, 5, -0.5, -1\/3, 8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (1 + -5 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/63, 4, 0.02 in ascending order.\nAnswer: -2\/63, 0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 32352182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 591223 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321395 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2546*s - 2549*s - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/12 and -163\/143946.\nAnswer: 287892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1836.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -38*w + 41*w + 5*r, 4*w = -2*r + 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 38*w**2 - 43*w + 164. Suppose 0 = 3*h - 51*p + 54*p - 141, 23 = h - 2*p. Calculate x(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(192) + ((sqrt(3) + (-1*sqrt(6))\/sqrt(2))**2 - sqrt(3)) + (sqrt(21) + (sqrt(84)\/sqrt(64) - sqrt(21)))\/(sqrt(7)*-1*-5).\nAnswer: -3 + 141*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 - 12*v**2 + 2*v - 10. Let q be i(6). Solve -4 + 12 = -q*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2. Let n(y) = -44*y**2 + 1. What is g(n(f))?\nAnswer: 5808*f**4 - 264*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.0725l?\nAnswer: 1072.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/10)\/(5\/(-125)). Let m be w - -7 - (-12)\/2. Suppose m - 12 = -n. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 30034571493.\nAnswer: 30034571492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, -2, -11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -777 - -776.9609. Let l = -0.03910092 - r. What is l rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r + 8*r - 3*r + 2*r**2. Let z(n) be the third derivative of n**5\/30 + 2*n**2. Calculate y(z(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 566.0898 years?\nAnswer: 56.60898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.88 - 7.58. Let g = 28 - 33.4. Let u = g - q. Put 0.1, u, -4, 1 in decreasing order.\nAnswer: 1, u, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 12636?\nAnswer: 1\/3159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -500*f - 4403. Give j(-8).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 22 (b) -1\/8 (c) -0.2 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/9*36\/(-4). Let s(m) = 2 + 3 - m - i. What is s(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 33*b**2 - 48*b + 960.\nAnswer: 3*(b - 8)**2*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*m + 2*i, -4*m - 114 + 121 = 3*i. Solve -2*s + 6*s = -2*h + 16, m*s = -5*h + 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -3321?\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 24 + 15*r + 39 - 52 + 0*r. Is 8 a factor of z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(7) - (-1*sqrt(7) + 1)).\nAnswer: -5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:18 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -50. Let j be (9\/a)\/(2\/(-6)). Is j less than -6\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 227.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 20, 0*o - 4*s - 18 = -o. Let h(l) = 7*l**2 + 2*l - 1. Calculate the remainder when h(o) is divided by (-32)\/(-3) + 2\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, o: 3}. Give prob of sequence ppo.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k - 22 = 0. Let x(q) = -41*q + 31. Let r(n) = 164*n - 127. Let h(i) = k*x(i) - 6*r(i). What is the derivative of h(j) wrt j?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144 - -4. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z. Let h(t) be the second derivative of 83*t**4\/6 - 5*t + 10. What is c(h(v))?\nAnswer: 332*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -36773 divided by 4644\nAnswer: -36773\/4644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -1 + -37 - ((-3 - -1) + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 8*p + 59. Let b be s(12). Suppose -3 = b*n - 14. Let a(x) = 6*x**3 - x - 1. Let l be a(-1). Put l, 2, n in decreasing order.\nAnswer: 2, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10097523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20, -79, -154, -239, -328, -415, -494?\n\"Answer: l**3 - 14*l**2 - 24*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 539.118 to the nearest ten.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**3 - 9724*f**2 + 6449*f + 13.\nAnswer: -18*f - 19448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -18*n**3 + 1. What is the remainder when 74 is divided by a(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46.637 + -278.693. Let z = y - -327. What is z rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31400367407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42669.\nAnswer: 3, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 divided by 165970?\nAnswer: 19\/16597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 + -1*3 + (-33)\/(-11) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 8 = -4. Sort a, 1, -38.\nAnswer: -38, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - -6*-1*sqrt(108))*3 - ((-2*sqrt(324) - sqrt(324)) + sqrt(324))\/sqrt(3)*-6)**2*-4.\nAnswer: -314928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-6\/7)*f**(-3\/2)*((f**(-1)*f)\/f)**(1\/31) assuming f is positive.\nAnswer: f**(141\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(99) + sqrt(99)*1 - sqrt(99)) + sqrt(99) + (2*sqrt(99)*-2 - sqrt(99)))\/((sqrt(9) - sqrt(36)*1)*-5) + -1)*-4.\nAnswer: 4 + 28*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 650 = -5*w - 0*w, 6 = 2*t. Which is smaller: w or -126?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-45)*(-1 - 7)\/(-16)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z - 2*z**2 - 2*z**3 - 2473 + 2473 + 4*z**2 - z**3 - 4*z**2 + (-1 + z**2 + 1)*(0*z + 3*z - 5*z) - 7*z**3 - 7*z**3 + 9*z**3.\nAnswer: -10*z**3 - 2*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Convert a9 (base 11) to base 3.\nAnswer: 11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/424387 - -848924\/10609675. Factor -l*p**2 + 2\/25*p + 4\/25.\nAnswer: -2*(p - 2)*(p + 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 118.35529?\nAnswer: -710.13174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 145.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*s - 403 = 7*s, 0 = -5*g + 3*s + 979. Let i = g - 190. Let b be (-5*1\/(-5))\/(1\/16). What is the highest common divisor of i and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 9*y + 20)*(y - y - 3*y).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14641*c**2 - 11*c - 14*c + 2 + 27*c.\nAnswer: 14641*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 112546307 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 3321.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 238.3, -2\/41, 0 in increasing order.\nAnswer: -2\/41, 0, 238.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57504.93035 - 57202.93034698. Let a = p + -302. Round a to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 3*t**4\/4 - t. Suppose -5*a + 2*f - 17 = -56, -15 = -3*a - 3*f. Let r(l) = 3*l + 0*l - a*l + 3*l. What is r(z(w))?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -453, -2724, -8861, -20796, -40461, -69788?\n\"Answer: -322*p**3 - p**2 - 14*p - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2643*p**2 + 85*p**2 + 80*p**2 - 2806*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5522601.7 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 + 4785926*u**2\/3 - 19143728*u\/3 + 19143736\/3.\nAnswer: 2*(u - 2)**2*(u + 2392967)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**6\/360 + d**5\/60 + d**4\/8 - d**3 - 13*d**2. Let c(t) be the first derivative of f(t). Give c(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 136, -5, -89 in decreasing order.\nAnswer: 136, -5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(15\/(-24)) + (-63)\/(-105). Let a be l\/((1\/(-6))\/(7\/21)). Solve -5*m = -4*b - 27, -6 = a*b - m + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-868)\/(-4)*10*2\/140?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/2806 and 37\/244.\nAnswer: 5612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.7 + 6.1. Let j be (6\/(-5))\/(6\/(-15)). What is the third smallest value in j, 0.1, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 173987767*b**3 - 3461*b**2 + 6577*b + 1?\nAnswer: 1043926602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 14 + 129. What is the remainder when ((-6)\/(-2))\/((312\/664)\/k) is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 12*l. Let q be s(-12). Suppose 0 = -z - q + 50. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/3))**(4\/7)\/((u*u\/u**9)\/u**(-9))*(u**2\/u)**(-12\/17)*u**(-2\/13)*(u\/((u**(2\/19)*u)\/u))\/u assuming u is positive.\nAnswer: u**(-177470\/88179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13526732\/303485 - -4\/43355. Solve -3\/7*j**2 + r*j - 8112\/7 = 0 for j.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnhnhnhhhnhhhhhnnh. What is prob of picking 2 n?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -17*v + 3. Let w be h(0). Solve 0 = p - m - 10, -w*m - 2*m = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1384, -1406, -1428, -1450, -1472, -1494?\n\"Answer: -22*z - 1362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/11)*h)\/h**(1\/11)*(h*h*h**12)\/h*h**(-1\/16))**38 assuming h is positive.\nAnswer: h**(47215\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 60840.9 plus -0.5?\nAnswer: 60840.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 6 + 16*o - 75*o - 4*o + 53*o.\nAnswer: -o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or 2249?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7714 + -7717. Put 3\/4, p, -0.3, 1\/90 in ascending order.\nAnswer: p, -0.3, 1\/90, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzyxxzxxyzyyxyxyy. Give prob of picking 1 z and 3 y.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-918) + (-53)\/9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 - 9*v + 9. Let w(p) = p**2. Let d(i) = s(i) + 4*w(i). Let g(c) = 9*c + 1. Let k be g(1). List the prime factors of d(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305 - 250 = -185*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 2*b - 20 = 0, 2*c + 4*b = -14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/2 + 19*s**3 - 171*s**2\/2 - 1909*s + 1976 = 0 for s.\nAnswer: -8, 1, 19, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-2))\/(1*7\/(-91)). Let g be (2 - 5) + s\/(65\/30). What is the closest to 2 in g, 1\/5, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 34*k - 25 = 0. What are the prime factors of 755\/(k*(-8)\/48)?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(7\/(-222)) + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/30 and ((-49)\/4)\/(45\/20) - 0?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1778*-77.9.\nAnswer: 138506.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4\/2 + 22533*o**3\/2 - 43252737*o**2\/2 + 3515524095*o\/2.\nAnswer: -3*o*(o - 3713)**2*(o - 85)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*t = -120*t + 8007 - 26085 - 4224 for t.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 3133?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 16*n - 462 = 0. Calculate the greatest common divisor of 21 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**3*x**2 - 51*o**3 - 31*o**2*x**2 + 149*o*x**2 - 2*o + 66*x**2 + x - 2 wrt o.\nAnswer: 18*o*x**2 - 306*o - 62*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -13*(-2 + (-2 - -5)). Let b = -16 - a. Sort b, 1, 0 in descending order.\nAnswer: 1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 13, -1, 18 in decreasing order.\nAnswer: 18, 13, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168961, 338014, 507239, 676720, 846541?\nAnswer: 1016786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2. Let x(u) be the third derivative of 7*u**5\/30 - u**4\/8 - u**2 + 55*u. Determine x(z(h)).\nAnswer: 14*h**4 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24582 - 24592 = 17*z - 2*x, -z + 3*x - 15 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 7. Suppose 16 - 2 = -x. Let i be (-3)\/21 + 4\/x. Which is the closest to 1\/4? (a) g (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - -0.8. Let i = -12 + 7. Let l = 8 + -7. What is the third biggest value in l, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 841*h + 87. Let j(b) = -3 + 5*b + 4*b - 31*b + b. Let k be j(4). Let g(y) = 48*y + 5. Let t(x) = k*g(x) + 5*i(x). Let z(p) = -3*p. Determine z(t(u)).\nAnswer: -87*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -325343 - -13252?\nAnswer: -312051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 199 + -179. What is the highest common factor of 2180 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 2*c**2 + 3*c - 3. Let u be t(2). Suppose 1 - u = 2*n. List the prime factors of n\/(2 - 15\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 1, o: 1}. Give prob of sequence ad.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 2*b = 2*g + 6, 24 = 4*g + 5*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -5 (c) -3339 (d) -0.5 (e) -6\/11 (f) 1 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 20*p**2 - 26 - 117 - p.\nAnswer: 20*p**2 - p - 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 20*w**2 - 4*w - 208. Calculate o(-10).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85924, -86168, -86830, -88120, -90248?\nAnswer: -93424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s = -2. Solve 7 = v + 4*n, 7*v - 10 = s*v + 5*n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270 by -3.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 12. Let n = -1320\/403 - -43\/13. Let g = n + -67\/155. Which is the third smallest value? (a) s (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 m when three letters picked without replacement from mvgkvryvgygm?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66\/115 + 4\/23. Let r = -0.262 - -0.162. What is the closest to 8 in x, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*j - 7*j. Suppose 3*x = u - 5, x + j*x + 5*u = 25. Which is the third biggest value? (a) -5 (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50 - -3648179?\nAnswer: 3648219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/84*-12)\/((-2)\/(-14)). Put 1, h, 4, -2 in ascending order.\nAnswer: -2, 1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*p - 9630020, 0 = -433*p + 437*p - 4*f + 7704020. Round p to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -222861?\nAnswer: -222861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(21\/69) - (-2)\/(-7). Suppose 8*l - 6*l + 50 = 4*c, u*c - 40 = l. Solve -6*i + c = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2 (c) -11.66 (d) 0.3 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c**3 + 25*c**3 - 65*c**3.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -967185 and -0.02.\nAnswer: 19343.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p + 22*p + 11 + 5*p - 30*p. Let u(o) = -7*o - 10. Give 6*u(x) + 5*z(x).\nAnswer: -2*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5 + 5*o**4 - 7*o**3 - 5*o**2 + 6*o = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 4) + 105\/(-75) + 3231\/390?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 28*i**3 + 8 - 9*i**3.\nAnswer: 19*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 + 105*k - 59*k + 2*k**2 - 44*k.\nAnswer: 6*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 1 - -1 - -4. Let b be ((-3)\/(-7))\/(1\/7). Suppose -y = -u, -5*u + b = -2*y - 6. Solve -3*s - i + 8 = -y*r, 24 = 4*s + 4*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11\/9 - -14\/9. Let u(f) be the first derivative of -5 - f**2 - f + x*f**3. Calculate u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24949, -24951, -24953, -24955, -24957, -24959?\n\"Answer: -2*j - 24947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a hour in seconds?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*h + 3)*(3 - 5 + 4) - 2*h + h + 2*h - h + 2*h + 0*h + (-8 - 4 - 7)*(-2*h + 0 + 0) + 115 - 115 + 70*h in the form t + c*h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 - 10*y**2 - 3*y - 4. Let k(w) = -w**3 - 3*w**2 - 1. Let t(i) = 4*k(i) - s(i). Factor t(a).\nAnswer: -a*(a - 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -119*g - 7128. Let c be p(-60). What is the greatest common factor of c and 11496?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -47*g + 258. Let q be n(-15). Let f = q - 957. Solve 3*r + 9 = -f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1585*s + 2463 - 23068 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-850 - 1)\/(612\/(-510) + (-1)\/(-5)). Is 860 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -622, 37, -1 in descending order.\nAnswer: 37, 5, -1, -622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjj when three letters picked without replacement from jggvvoojv?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12772146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1437, 2905, 4399, 5919?\n\"Answer: 13*p**2 + 1429*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**3\/6 + 8*t**2 + t. Let n be j(16). Let w be 10\/36 + (-1)\/2. Which is the second biggest value? (a) n (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 10*w**4 - 3*w**4 + (0 - 2*w**2 + 0)*(-w**2 + 4*w**2 - w**2) + 140*w**4 - 1062*w + 1062*w - 2 - 2*w**4 + w + 1 + w.\nAnswer: 138*w**4 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/18 and 77\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58 * -4.4.\nAnswer: 255.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123353*o = -123326*o + 324 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -152.31 and 19966.\nAnswer: 19813.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 2 - (20 + -5) - (-1 + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 16. What is the tens digit of (a - 1)*(-13)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-311)\/7153)\/(1\/2) + (-518)\/(-138)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - 27*c**2 - 12*c**2 to the form t*c**2 + d*c + l and give t.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 10:41 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1232 - 1273 + 3*w**3 + 2505 + w**2.\nAnswer: 3*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10*m + 12. Determine o(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-244)\/(-6)*3\/2. Suppose 0 = 60*b - y*b. Suppose h - 70 - 164 = b. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**5\/60 - 7*g**4\/24 - g**3\/6 + 15*g**2 - 1. What is l(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(11) + -2))**2.\nAnswer: -16*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 48. Let c = -2 + i. Calculate the remainder when 21 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/99959 (b) 0 (c) -0.3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 - 3*m - 4. Let u be w(3). Let q be (-6)\/21 + (-307996)\/u. Round q to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 3\/17, 0, -1\/12 in ascending order.\nAnswer: -5, -1\/12, 0, 3\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + j + 178078, 0*i + j - 356168 = -4*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -47) + -584 + 559?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/30355 and -127\/650.\nAnswer: 303550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 18 = -11*p, -9*p - 4 + 5 - 5 = -11*p for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 4. Let u be l(4). What is the smallest common multiple of (-6)\/6*1*-11 and (1 + -4)\/(-1 - u)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*c = -6*f + 2, -f - 3*c + 5 = 0. Let k be (f + -3)*55\/(-20)*1. Solve 5*w - 4 = k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48561, -48585, -48609, -48633, -48657, -48681?\nAnswer: -48705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**32\/(c\/c**(-2\/7))**(-2\/19) assuming c is positive.\nAnswer: c**(8602\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -15*x**2 - 53*x + 118. Let d be j(2). Suppose 4*v + 82 = -2*t, -5*t - 2*v - 253 = -4*v. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m + 1 + 10*m - 1 + 78*m.\nAnswer: 66*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15178, -15167, -15144, -15103, -15038, -14943, -14812?\nAnswer: -14639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - 2*c + 2*c + ((3*c - 3*c + c)*(c + 2*c - 10*c) - 2*c**2 - 2*c**2 + 5*c**2)*(-c - c + 4*c) + (-2*c**2 + c - c)*(c + 2*c - 7*c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -109? (a) -4.4 (b) -2\/7 (c) -3 (d) 19 (e) -0.3 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 3373 + 3373 - 13*t + 2*t**3 to the form k*t**2 + n + q*t**3 + l*t and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.8631 millilitres to litres.\nAnswer: 0.0768631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/2 of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5930*d**3 - 5925*d**3 + 11847*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -43. Let l = -26 - x. What is the remainder when 6 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366.809 kilometers in centimeters?\nAnswer: 36680900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + -4 - ((1*sqrt(52) - sqrt(52)) + sqrt(52))**2.\nAnswer: -56 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*h*x**3 - 14*h*z**2 - 2*h - 1525*x**3*z - 2*x**2*z**2 - 567*x - 10 wrt z.\nAnswer: -28*h*z - 1525*x**3 - 4*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.183*26.5\nAnswer: -4.8495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 19308*v - 173769. Calculate c(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**6\/30 - 2*f**4\/3 - 33*f**2. Determine n, given that r(n) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 = 172*w - 51*w + 471 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1201120021?\nAnswer: -1201120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -311265000 rounded to the nearest 1000000?\nAnswer: -311000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 3:31 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6258*v + 2*f - 5 = 6257*v, 3*v = 4*f - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, t: 4, u: 2, n: 6}. What is prob of picking 2 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - g**2 + g + 3. Suppose -22 + 2 = -5*p. Let m(k) = -2*k**3 + 2*k**2 - 4. Let u(y) = p*q(y) + 3*m(y). Factor u(l).\nAnswer: -2*l*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**3 - 5*t**3 + 5*t**3)*(-3 - 6 - 3) to p*t + s*t**2 + k + u*t**3 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * 48852\nAnswer: -68392.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1021 - -4?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -368 + 987. Let z = d + -440. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*u + 3*o - 1, 3*o = -3. Sort 1, u, -5 in decreasing order.\nAnswer: u, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9970418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4388188329.\nAnswer: 3, 7, 69653783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, d: 3}. What is prob of sequence ff?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -175aa93 - 0?\nAnswer: -175aa93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 18*c - 39*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + (2 - -379) - 4.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3544)\/(-51388)*((8\/6)\/2)\/((-12)\/9).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmz when three letters picked without replacement from {m: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6256)\/(-1360) + 1578\/(-30)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26878 times -0.144?\nAnswer: -3870.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2. Let r be s(1). Let g = 9 - 8.7. Let u(x) = x**2 - 3*x + 1. Let k be u(3). What is the closest to k in -0.2, g, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-117183)\/(-165) + (-1)\/5. Let p = -20591\/29 + u. Which is the smallest value? (a) p (b) 4 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1959, -3921, -5893, -7881, -9891, -11929, -14001, -16113?\n\"Answer: -k**3 + k**2 - 1958*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + p + 5*t + 348 = 0, 0 = -4*p - 4*t + 384. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 12) to base 14\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(4719\/(-1742)) - 1\/22*4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-10)\/6)*(-4780)\/717\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -152 + 150. Let n be (2\/l)\/(1*1\/4). Let q(v) = -3*v - 11. Calculate q(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 8. Suppose 2*w = 111 - 119. Let h be a(w). Solve -b + 0 = -5*q + 1, 5*q - 4*b - 4 = h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-3 - 19\/(-7))*103. Let u = -29 + b. Is -1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.212 (c) 4 (d) 0.0329\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxhh when four letters picked without replacement from {h: 7, x: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opgpggpggpgggpo. Give prob of picking 2 g.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*f = -89*f - 50*f + 3808 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5 + 1. Let y be ((-8)\/6)\/(j\/3). Suppose -n - y*q = 3*q - 8, 5*q = n + 2. Solve -g + 4*g = -n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urmu when four letters picked without replacement from {m: 4, r: 1, u: 4}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 880855 a multiple of 1016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -598\/3, -3, 4, 101 in decreasing order.\nAnswer: 101, 4, -3, -598\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/18 + 112\/(-504).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 522677 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a factor of 879321489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-62)\/(-155))\/(1\/210)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45.3 - -6.7. Let q = j + -57. Put -0.3, -1, 0, q in descending order.\nAnswer: 0, -0.3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00270510672 rounded to five dps?\nAnswer: 0.00271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggoomfmmhgg. Give prob of picking 3 g.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Which is the third biggest value? (a) 0.4 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 4*c**2 - 5. Calculate x(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 526432 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.34809074 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002617766 to 4 dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m + 2. Let i be o(5). Let t = i + 41. Solve 0 = -t*l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:20 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -48\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -543, 6\/109, 2\/7, 2 in ascending order.\nAnswer: -543, 6\/109, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 260*(84\/4)\/210\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 1) + 8 + -1. Suppose y*q - 2 = -q + n, q - 2*n = 4. Solve q = -2*m + 7*m - c - 3, -4*m - c = -6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31670 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 - 31*i - 9. Let h(a) = -2 - 2*a**2 + 3*a**2 - 5*a - a. Let y = -2 + -2. Let j(n) = y*k(n) + 22*h(n). Solve j(z) = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - -2. Solve -3*x = x + y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2125*a + 4. Let z be l(-4). Let n be z\/((1 - 3)*-1). Let w be (-18)\/81 - n\/(-18). What is w rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j + 13 = i, 0 = -2*j + 2*i - 2. Suppose -5*k - 4 = s - j*k, 3*s + 7 = -4*k. Let v be (-3)\/(-18) + 8 + -4 + -4. Which is smaller: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7838146l to millilitres.\nAnswer: 783.8146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296623 times 12?\nAnswer: 3559476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21018462 is divided by 192?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 79421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*l**3*n*q - l**3*n*x + 4*l**3*q**3 - 5*l**2*n*q**3*x + 8*l**2*n*q**2*x + 3*l**2*q**3 - l*n*q**3 wrt l.\nAnswer: -408*n*q - 6*n*x + 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 18*s. Let n be w(3). Suppose -n = -2*o + 54. Suppose 0 = 70*z + 721 - 2051. What is the remainder when o is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = -4*k - 18*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1274988 + 0.06\nAnswer: 1274988.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**2\/7 - 747733940*s\/7 - 69888255628490450\/7 = 0.\nAnswer: -186933485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 125?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*j**2*x*z + 2*j**2*x + 8*j**2*z - 18*j**2 - j*x*z + 7*j*z - 23*j - 99*x*z + 2*z wrt j.\nAnswer: 26*x*z + 4*x + 16*z - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 9\/986?\nAnswer: 9\/986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a day in hours?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2365508?\nAnswer: 2, 591377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let y(d) = 164*d - 2. Let c(i) = 2*x(i) + y(i). Let n be c(2). Suppose 5*j - n = f + 149, 5*j = 5*f + 475. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193.478574 - 2.\nAnswer: -195.478574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14) + 508\/(-1974))\/((-138)\/(-207))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*c + 1041462, c - f - 798611 = -277872. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 22*y**3 + 0*y**2 + 1 - 3*y + 0*y**2. Let s be x(1). What is the highest common factor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -527 + 538. What is the second derivative of 11*c**3 - 6 - c**2 + 28*c**5 + 12*c - 9*c**5 - h*c**3 wrt c?\nAnswer: 380*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnce when four letters picked without replacement from {n: 10, e: 1, b: 5, c: 4}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*p = -3*n - 57*p + 41089, 3*n + p - 41054 = 0. What are the prime factors of n?\nAnswer: 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 - r + 3. Suppose -28*f + 588 = 14*f. Let d(x) = 5 + f*x - 17*x + 2*x - 5*x**3 - x. Calculate -3*d(n) + 5*p(n).\nAnswer: 5*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.46 + -42.46. Let o = -41.99932 - s. Round o to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 54 + -303205?\nAnswer: -303131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -389*c + 174*c + 177*c. Suppose v = -2*v. Solve o + 5*m - 21 = v, c*m = 4*o + 3*m + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b + b + 7*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = g, -129 = -5*s - 5*g - 144 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7069.69979 to 1 decimal place.\nAnswer: -7069.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from uttutmtttjjtuumstmu?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1331051.\nAnswer: 1331051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -41a3 (base 11) in base 4?\nAnswer: -1112312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**4\/2 + 76*a**3\/3 - 29*a**2 + 4*a. Give n(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*z = 140*z - 345. Calculate the lowest common multiple of (-3)\/15 + 2283\/15 and z.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-7 + 8)) + (-5 - -6) + -7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 5*z**2\/2 - 8. Let f(h) be the third derivative of h**4\/4 + 71*h**2 - h. What is f(q(g))?\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 8064*m - 8062*m + 11 - 9*m**3 - 9. Let w(g) = g**3 + g + 1. Give 2*v(h) - 4*w(h).\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3*367499416\nAnswer: 1102498248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2\/9 (c) -104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + -34 + 228 + -72.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2 - 3. Let k be ((-6)\/4)\/((-7)\/(-14)). Let l = z - k. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 51*u**2 - 4*u - 2. Calculate z(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**4\/24 - 5*m**3\/6 - m**2. Let o(r) = r**3 - 9*r**2 - 4. Let n be -8 + 11 + (6 - 0). Let b be o(n). Give v(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 91, -7, -135, -287?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*(25\/5)\/(-30)*-30\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.3 (b) -2 (c) -100 (d) 2\/5 (e) -1\/95\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 2*n**2 - 6*n**3 + (2*n - n - 2*n)*((3*n - n + n)*(-2*n - 3*n + 3*n) - n - n**2 + n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhaaahhahhhhh. Give prob of sequence aa.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + -6*(sqrt(2736) + 2*sqrt(2736)*-5 + sqrt(2736)*1 + 5) + -3))**2.\nAnswer: -663552*sqrt(19) + 100880640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2839351.62 to the nearest 100.\nAnswer: 2839400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64.5*-0.4.\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 - (-61 + 33 + -16) - -13.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - -0.8. Let n = 23851 + -23850.7. Suppose 2*j - 4*t = -0*t - 30, 3*t = -4*j - 5. What is the third smallest value in j, k, n, -0.01?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 436*p - 17. Let y(q) = 436*q - 17. Let x(d) = 3*r(d) - 2*y(d). Is x(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p - 6 = 0. Suppose -4*m = -0*t - t - 21, -p*m + 22 = -2*t. Suppose -2 - m = -2*l. Solve 3*a = -0*a - l*z - 15, 3*z = -6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 749464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 134*z - 86. Let r be q(9). Suppose 153*w - r = 149*w. Is w a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctyjvtcj. What is prob of picking 1 t and 2 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -9.7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*z - 9*z - 7429445, 0 = -4*h - 2*z + 5943556. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -811390 * 8\nAnswer: -6491120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*p - 95*p + 324*p**2 - 78*p.\nAnswer: 324*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5 = 2*f + 7, 4 = -m. Let n be 0 - 1 - (-71 - -4). Suppose -4*z + n = -z. Solve 2*k = -f*o + 6, o + 0*k - 4*k = -z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 576, 2007, 4792, 9381, 16224, 25771?\nAnswer: 38472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e2 - 1?\nAnswer: e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*z + 5*q, 0*q = -z + 5*q - 7. Let k = -1520 - -1519.5. What is the closest to -2 in -0.4, k, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1.2 (c) -27726\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -15 - 753. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57*(-4)\/15)\/(252\/(-126))*10.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662642 is divided by 4360?\nAnswer: 4282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5)\/((-126)\/(-315))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-517)\/(-66) + (-2)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 6*o**2 - 2*o + 19. Does 6 divide d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, g: 4}. What is prob of sequence ggg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8 + 4*w**2 + 25*w**3 - 26*w**3 + 3. Let a be m(2). Solve a*y + 2*o + o - 21 = 0, o = 2*y - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k**2 + 3. Let y(j) = 5*j - 1. Let w(s) be the third derivative of 3*s**4\/4 - s**3\/2 + s**2 - 14. Let b(g) = w(g) - 3*y(g). What is n(b(a))?\nAnswer: 90*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 504*q**2 - 3102 wrt q.\nAnswer: 1008*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 10.74, 2\/11, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 0*m - 1\/2*m**2 + 19. Let c(u) = 12*u**2 + 1. Calculate c(n(f)).\nAnswer: 12*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4)*-2 - 4\/(-2). Sort 3, 25, p in descending order.\nAnswer: 25, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00532387048 rounded to seven decimal places?\nAnswer: -0.0053239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.3, 5, -3, 3\/5, 0.5, 10.37, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**4*z - 5*o**4 + 84*o**2*z + 179*o*z - 3*o + 2*z - 14 wrt o.\nAnswer: -12*o**2*z - 60*o**2 + 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 8) to base 3\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 4:53 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*x**4 + 15*x**4 + 18*x**4 + (-5*x**3 - 4*x + 4*x)*(0*x - 2*x + 3*x - 1 + 1 - x + 6*x + 0*x - 5*x + (-2 - 1 + 2)*(-x + 3*x + 0*x)).\nAnswer: 25*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*d + (2 - 2*d - 2)*(3 + 1 - 2) + 2*d + 0*d + 0*d + 2*d + 3*d - 4*d + 3*d + 0*d + 5*d - 2*d + 3*d + d + (3 + 0 - 6)*(-3 + 3 + 3*d)*(-2 + 2 + 3).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 + 6 - (-1 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3124*t + 3118*t - 6298*t. Let r(y) = -6*y. Give r(o(u)).\nAnswer: 336*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37548142 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 + 8*j**2 + 8*j - 6. Let l(s) = s**3 + 3*s**2 + 3*s - 2. What is -3*k(m) + 8*l(m)?\nAnswer: 2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1025154413?\nAnswer: -1025154415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5130 and 1140.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810 = -3*o + w - 5*w, -3*o + 810 = -5*w. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936 is divided by 157.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/42)\/(60\/70).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.3 - 9. Let h = 0.2 + j. Which is the second smallest value? (a) h (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n. Let t be a(-1). Factor 20*h**2 + 20*h**4 - 5*h**5 - t*h + 86 - 30*h**3 - 86.\nAnswer: -5*h*(h - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2239 + 1218. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -7*o**5\/15 + o**4\/6 - 3*o**2 - 2. Let m(i) be the second derivative of f(i). Find the second derivative of m(j) wrt j.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 128007 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(3*20\/(-90)) + 141\/18?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 132, 266, 398, 528?\n\"Answer: -b**2 + 137*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**5\/60 + x**4\/4 + 2*x**3\/3 - 5*x**2. Is 8 a factor of b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3642*a**4 - 3647*a**4 - 10*a**3 + 5 - 2*a + 12*a.\nAnswer: -5*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128410665?\nAnswer: 3, 5, 8560711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25, -17, 2.88?\nAnswer: 2.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*d**3 + 2*d**2 - d**2 - 75*d**3 as x*d**3 + v*d**2 + l*d + w and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 415\/(-75) - ((-31)\/6 + 5)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 32*p + 909. List the prime factors of k(0).\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 0.1 (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35*8\/(-40))\/(-3 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k\/(k*k\/(k\/((k**(-2\/7)*k)\/k))*k)*k)\/k)*k**(9\/5) assuming k is positive.\nAnswer: k**(123\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*w - 400 - 323*w - 316 + 41*w wrt w?\nAnswer: -277","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 42*s**2 + 190*s + 34. What is f(-8)?\nAnswer: 1202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0090463 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1210?\nAnswer: 3\/1210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzz when three letters picked without replacement from {z: 3, n: 5, v: 3, m: 1, i: 5, q: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2353)\/1950 + 189\/162.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -747.12 + 738. Let m = u - -9. Which is the third biggest value? (a) -4 (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 11*l**2 + 31*l**2 - 15*l**2 - 11*l**2. Give j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3589 - 2071. What are the prime factors of d?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.6, 0.1, -2 in ascending order.\nAnswer: -3.6, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 939 + -938.9. Let s = 3 + -3.18. What is the nearest to b in 5, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(18)\/(sqrt(42)\/sqrt(7)))**2 - sqrt(3)) + 3 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164117 is divided by 26457.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 2554784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 0*b**3 + 29*b + 0 + 0*b**4 + 0*b**2 - 1\/294*b**7 - 2\/105*b**6 - 1\/35*b**5. Factor s(o).\nAnswer: -o**3*(o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1. Let i(d) = 2*d - 8. Let c(r) = i(r) + 12*m(r). Let p(k) = 1. Let a(g) = c(g) - 4*p(g). Let v(n) = 8*n. What is v(a(l))?\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185770 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**2*r**3*v**3 + 2*q**2*r**3*v**2 - 37*q**2*r*v**3 + 2*q**2 + 18*q*r**2*v**2 + v**3 wrt v?\nAnswer: -6*q**2*r**3 - 222*q**2*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -1\/2*m**3 + 0 + 3\/8*m**4 - 1\/60*m**5 - m**2 + 0*m. What are the prime factors of y(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.97 + 0.03. Let a be (-2)\/(-4) + 9\/(-10). Let m = -1\/3 - -7\/12. What is the nearest to a in -0.3, u, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + t - t)*(151*t - 1035 + 1035).\nAnswer: 604*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (84\/(-22))\/(2880\/(-11088))?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-80)\/(-12)*((-126)\/(-24) + 0). Suppose c*w - 32*w = 4*h + 430, 3*w = -h + 440. Is w bigger than 146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*n + 32 = -19, 5*p + 2*n - 88 = 0. Let s = p - -33. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 134 - 109. Suppose -5*t - y + 15 = 2*y, -5*y = -t - b. Solve 2 + t = g, g = -5*z + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {s: 2, k: 1, z: 1, w: 1, n: 4, b: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1034 + -1016. What is the closest to -0.1 in 0.1, m, 5, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 237\/9 - (2 + (-8)\/3). Calculate the highest common factor of o and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101 - -75. Let t = 25.8 + o. Let i = -20 + 19. Which is the closest to 13? (a) 0.2 (b) i (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Suppose -2*g + 5 = -3. Suppose 2*l = 3*q - 6, 8*q - 3*q = -g*l + 10. Solve 0*i + a*i - q*h = 10, 0 = 3*i + 4*h - 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 19. Let y = -14 + u. Let t be (-10 + 12)*y\/(-28). Which is the closest to 0.2? (a) 0.5 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 9*p + 6. Let j be s(-10). Is (-1)\/12*j*255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1681121178245148 + -1681121138694861.99998916. Let k = 39550327.6 - a. Let s = k + -41.6. What is s rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -539.9*5\nAnswer: -2699.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 31*a**3 + a**2 + a - 1. Is i(1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 1 + 15 + -25 + (-8 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/15, 2\/5 in ascending order.\nAnswer: 4\/15, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-264)\/55)\/(2\/860*-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1515111 + -1515097.896348. Let o = f + -18.1037. Let a = 5 + o. What is a rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 270*w - 18225.\nAnswer: -(w - 135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1.3.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 + 44.65559.\nAnswer: 43.55559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 62404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185 and 665.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -61 (b) 2140 (c) 2\/3 (d) -0.5 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (88 - 221*y - 42 - 45)*(-5 + y**2 + 15 - y - 9) as w*y**2 + c + q*y + l*y**3 and give l.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1008\/(-60)*(-1305)\/(-348)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 378?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*g - 8. Suppose 0 = 4*j - 5*k - 283, -j = g*j - 2*k - 375. Suppose -9 = -m + 2. Calculate the greatest common divisor of m and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9072 + -9073. Put -7, -114, k in decreasing order.\nAnswer: k, -7, -114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 6:19 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**4 - 473896*c**3 - 4*c - 234399?\nAnswer: 36*c**2 - 2843376*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -441, -1451, -3629, -7569, -13865?\nAnswer: -23111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44\/3*q + 80\/3 + 2\/3*q**2.\nAnswer: 2*(q + 2)*(q + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.141959 centimeters in nanometers?\nAnswer: 1419590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56712.775 and -0.1?\nAnswer: -5671.2775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*q**3*x**5 - 3*q**3*x**4 + 8*q**3*x**2 - 12*q**3*x - 4*q**2*x wrt x?\nAnswer: 480*q**3*x**2 - 72*q**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - ((-2534)\/(-18) + 2). Let t = w + 140. Solve 0*a**3 - t*a**4 + 2\/9*a**5 + 0*a**2 + 0*a + 0 = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - 44. Let z(y) = -y**3 + y**2 + 17*y - 2. What is the remainder when w is divided by z(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51442 + 20930. Let h = 6388 - s. What is h rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 752578669 divided by -2.\nAnswer: -752578669\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*f**2*o**2*s - 25958*f**2*o**2 - 2134*f**2*s - 29*f**2 - 2*f*s - f + 8 with respect to o.\nAnswer: -82*f**2*o*s - 51916*f**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 8. Let v(q) = -15*q + 14 + 3*q + 11*q. Let u be v(6). Solve 5*o - 2 = 3*f, 4*o = -2*f - a*f + u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p**3 + 36*p**2 + 12*p - 122. Let x(z) = -8*z**3 - 33*z**2 - 11*z + 117. Give -10*m(n) - 11*x(n).\nAnswer: -2*n**3 + 3*n**2 + n - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 3*w + 4. Let r be s(-4). Let t(h) = 2*h + 2. Suppose -3*k - 4*m - 49 = 0, 5*m = 5*k + 265 - 300. Let g(v) = 5*v + 5. What is k*g(x) + r*t(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 6*y**2 - y + 8. Let k be c(6). What is the third derivative of -3*j**6 - 2*j**k - j**5 + j**2 + j**5 wrt j?\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29008191?\nAnswer: 3, 9669397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -331738.1.\nAnswer: 331731.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - -373)\/(-14)*(-1 + 44)*-1 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 46*o**3 - 4 - 51*o**3 - 4*o + 9*o**2 + 3 + 2. Let a(y) = 9*y**3 - 17*y**2 + 7*y - 2. Let u(r) = 4*a(r) + 7*j(r). Let d = 3 + 2. Determine u(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from aaxxaaxaxaaaaaxxs?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1176 and 85\/37044.\nAnswer: 74088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m + 835 = -2047 + 11486. Sort 0, 5, m, -3 in descending order.\nAnswer: m, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 9:13 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 333.7 times -5.63\nAnswer: -1878.731","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.34 + 206.56. Let z = k + -219. Is 0.01 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59103?\nAnswer: 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11654, 23376, 35176, 47054, 59010, 71044?\n\"Answer: 39*q**2 + 11605*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 5*l**2 + 2. Let t = -31 - -26. Let u be r(t). Which is the nearest to 2\/5? (a) -10 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/5 + 106*g**3\/5 - 338*g**2\/5 - 106*g\/5 + 336\/5 = 0. Calculate g.\nAnswer: -56, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8900 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2302144 and 1239616.\nAnswer: 16115008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 32 = y, 0 = 5*y + i + 25 + 71. Let d = -525 + 563. Let n = d + y. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1155, -1658, -2441, -3504?\n\"Answer: -140*b**2 - 83*b - 932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 5. Let u(m) = a + 5 - 8*m - 5*m**2 + 4*m**2. Let h be u(-8). Solve -2*s + 3 = h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*g + 299*g - 87*g - 72*g - 71*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 2*k**2 - 11*k - 38. Let g be d(-3). Solve -4*s + 1 = 4*f - 3, -f + g*s + 21 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22359 is divided by 604?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.6, 1, 67, -3\/11, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*x**3 - 80*x**2 - 125*x + 180 = 0. What is x?\nAnswer: -9\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.40187, -4, -0.1, 0.19?\nAnswer: -0.40187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3))\/(q\/q**(-2)))\/(q**(1\/3)*(q**(-2\/3)*q)\/q) assuming q is positive.\nAnswer: q**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6970 - 6947 - (2 - -85)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Let g = 26 + d. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 11 + 11 = 0. Suppose -3*q + 2*g - 2 = 0, -3*g = -5*q - g + 2. Let j(h) = -3 + 3 - q*h + y*h - 3 + 2*h**2. Give j(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -466.548 and 0.1?\nAnswer: -46.6548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(5\/(-1))*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikb when three letters picked without replacement from ooioiooookoboookokbo?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132572721868 + -58.\nAnswer: -132572721926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-25))\/((-2)\/1).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*h = 255, 188 = 4*c + 4*h + 24. Let g be (-134)\/c + (0 - -3). Is 1 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99*(-33)\/(-3564)*6\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = x - 8, -k - k = -3*x + 6*x - k + 276 - 276 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hig when three letters picked without replacement from {g: 8, o: 4, c: 1, i: 1, k: 4, h: 2}?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 974 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 18*h + 407. Calculate j(-24).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 10, -2, 119, 0 in decreasing order.\nAnswer: 119, 10, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 2*i**3 - i**4)*(3*i - 3*i - i) + 494*i - 314*i**5 - 266*i - 233*i.\nAnswer: -313*i**5 - 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11945 + 11949. Solve 2*l = -2*y + 4, 2*y + l - o*l - 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 1. Let f(s) = -3*s - 3. Give 2*c(u) - f(u).\nAnswer: 2*u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*c = 24, -4*c - 14 = 3*d - 7. Suppose t = -4*u - 3*t + 28, 4 = -d*u + 2*t. Solve -9 - 1 = -u*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -5, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -734 - -5118\/7. Let d = t - -184\/35. Suppose -2\/5*y**5 + 0 + d*y - 2*y**3 - 14\/5*y**4 + 14\/5*y**2 = 0. What is y?\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 7*f - 8*f. Suppose -10 = f*g - 10*g. Suppose 0 = 2*c + 4*o - 60, 0 = 2*c - c + 4*o - 38. What is the greatest common divisor of c and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -65. Let l be ((-2)\/6)\/(5\/(-165)). Put 4, u, l in decreasing order.\nAnswer: l, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 u when four letters picked without replacement from {y: 1, u: 2, m: 1, i: 1, g: 1, l: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 86613, 346618, 780015, 1386798, 2166961, 3120498, 4247403?\n\"Answer: -v**3 + 86702*v**2 - 94*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -v + 9*v. Suppose -p + 2 = 3, v*n - 2*p = 82. Let g = -31 + n. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -445404 (base 8) in base 10?\nAnswer: -150276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42978 - 7621 = -9*d + 31373. List the prime factors of d.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1327 or -5?\nAnswer: -1327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4244 = 4*l - 5*s, -74*s + 79*s + 20 = 0. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 28, 58, 100, 154, 220?\n\"Answer: 6*c**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) - sqrt(2)) + -4 + sqrt(2) + -4)**2.\nAnswer: -64*sqrt(2) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 14*b**2 - 46*b + 4. Let j = 695 + -704. Is 13 a factor of h(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159 - 167.9. Let n = 9 + w. Put 16, n, 1\/4 in increasing order.\nAnswer: n, 1\/4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 13) to base 8.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-670)\/(-737) + (-1696)\/(-22).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 0*z**2 + 2*z**2)*(1 - 460*z**2 + 184*z**2 + 175*z**2).\nAnswer: -101*z**4 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5.4. Which is bigger: r or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25353\/2326 - 1\/5815. Let c(a) = -17*a - 2. Let x be c(2). Calculate the common denominator of s and ((-38)\/x)\/(-1 - 0).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*w + 11*w + 40825. Let t = w + -1019. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (5 - (6 + -4)). Is -10\/41 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575 (base 15) in base 12?\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 560 + 21?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3 + u**2 - u - 2 + 5. Let n(v) = v. Let f(k) = c(k) + n(k). Find t, given that f(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1804.\nAnswer: -1\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -0.3, 20, 0.05, 0.19, -1?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14860 + -10223. Which is the third smallest value? (a) -5 (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 480632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 2*t**7\/105 - 7*t**6\/30 - 2*t**5\/15 + 10*t**4 - 48*t**3 + 21*t**2 + t - 18. Factor o(s).\nAnswer: 4*(s - 6)*(s - 2)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(4\/6 + -1). Suppose -2*v - 3*c - 1 = 0, 32 + z = 5*v - 5*c. Suppose h - 10 = v*t - 101, -h + 107 = 5*t. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 + 2*n - 2*n + (0*n**2 - 9*n**2 - 6*n**2)*(2*n - 4*n + n) to j*n**2 + s + o*n + g*n**3 and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3409555087.\nAnswer: 3409555087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (-6 + 17 + 6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**4*s**3 - 57*i**4 + 7*i**2*s**3 + 2*i**2*s wrt i.\nAnswer: 24*i*s**3 - 1368*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5126530210.\nAnswer: 2, 5, 512653021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*v - 24, 0*c + 27 = 3*c - 3*v. Suppose 3*p + 87 = c*p. Calculate the remainder when 112 is divided by p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 m, and 1 r when three letters picked without replacement from {b: 1, m: 1, r: 5, x: 2}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 29, -4\/9, 1, -4, 2\/75, 0.3 in descending order.\nAnswer: 29, 2, 1, 0.3, 2\/75, -4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07259 to 3 decimal places.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b + 22*b + 3 + 23 - 45*b.\nAnswer: -2*b + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(0 - 6\/9). Let x(h) be the second derivative of -h**4\/2 - 2*h**3 - 3*h**2\/2 + 42*h. Let y be x(j). Is y not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-49)\/42*20\/(-35). Sort -4, 3\/5, q, -1\/3.\nAnswer: -4, -1\/3, 3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-330)\/(-825)*(-20)\/(-6))\/(232\/12)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 177*y**2 + 1352*y - 95. Determine t(-169).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, 75, 175, 315, 495, 715?\n\"Answer: 20*o**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122110 - -202002?\nAnswer: -2220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35197.\nAnswer: 61, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1991231 to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1719 and 6876?\nAnswer: 6876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 441828 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 9*p**5\/2 - 3*p**4\/4 = 0.\nAnswer: 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -188, 3, -485, 5 in decreasing order.\nAnswer: 11, 5, 3, -188, -485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -147*g**2 - 1. Let i be f(1). Let o(z) = z**2 + 2*z + 2. Calculate the remainder when o(-5) is divided by (-2)\/8 - i\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 27*g + 116 + 12*g + 13*g + 2*g.\nAnswer: -2*(g - 29)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -361 + 781. Let r = w + -407. Solve 2 = -5*q - 4*j, 2*q - 2*j = j + r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 4 - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1\/643670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/14756 and -65\/93?\nAnswer: 44268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 8. Let y(g) = g**3 + 0 - 6*g + 4*g**2 - 2 + g - 1. What is y(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) -20 (b) 0.1 (c) 345\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + 0.22. Let s = 0.04 + l. Suppose -7*b = -2*b - 10. What is the biggest value in 4, s, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + 254*k - 33 + 1714*k + 497*k + (4 - 4 - 2)*(-2*k + 2 - 2) in the form x*k + g and give x.\nAnswer: 2469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 + -92. Suppose 0 = t*p - 608 - 1028. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 - 293*x**2 + 1029*x + 171516. What is l(-146)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -23397 equal to -23197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 850 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: What is the remainder when 215 is divided by 203?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -365818*q**4 + 4*q**2*x**3 + 175*q - 2482*x**3 wrt q.\nAnswer: -4389816*q**2 + 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178670711 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-4))\/12*(-8)\/(-10).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pccppppccp. What is prob of picking 4 c?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + z**5 + 2*z**4 + (41*z**4 + 39*z**4 - 70*z**4)*(-2 + 2 - 2*z) + z**5 - 5*z**5 + 2*z**5.\nAnswer: -21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5761244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 321 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 12:10 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 351.51 - 352.51. Which is the closest to w? (a) -125 (b) 2\/29 (c) -1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19473?\nAnswer: 3, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w - 12 = -3*f - 23*w, -4*f + w = -11. Solve -f*v + 13 = 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 10*n**2 + 7*n + 17. Give k(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -508739817*r**2 - 19881714*r - 3 wrt r.\nAnswer: -1017479634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 103 + 303 = 0. Is 9*(p\/(-12) + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:08 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**37)**(28\/5)\/(z\/(z\/((z\/(z\/((z*(z*z\/(z**(-2)*z))\/z)\/z)))\/z))*z*z*z*z*z\/(((z\/(z*z\/z**10))\/z*z)\/z)*z) assuming z is positive.\nAnswer: z**(1041\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 35*f**6\/3 - 36*f**5\/5 - 10313*f**3\/3 - 11350. Find the third derivative of n(x) wrt x.\nAnswer: 4200*x**2 - 864*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -17\/10*i**5 - 3*i**3 - 2 + 1\/15*i**6 + 1\/4*i**4 + 0*i**2 + 12*i. Find the third derivative of a(y) wrt y.\nAnswer: 48*y - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*c**2 - 23 - 20*c**2 + c - 23 + 45*c**2.\nAnswer: 159*c**2 + c - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -2 (b) 3\/5 (c) -8.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 48. Which is the third smallest value? (a) 2 (b) g (c) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 2 - 2)*(1 + 12 - 5 - 3*r) to the form d*r + s + y*r**2 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18576290*s**2 + 41239600*s?\nAnswer: 37152580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9 and -0.12104.\nAnswer: -9.12104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 795 divided by 53.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115*d**2*t**2 + 79*d**2*t - d**2 - 2*d*t**2 + 516*d*t - 13*d - 879*t**2 + 5*t - 2 wrt t.\nAnswer: -230*d**2 - 4*d - 1758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-162))\/((-2)\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 180 = 10. Let l = -60 - g. Suppose 197 + 103 = 25*o, -4*s - 36 = -4*o. Solve s*z = -2*z + l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 58533 - 6493. Let f = -5657 - n. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 5004242.\nAnswer: 17\/5004242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8010659km to micrometers.\nAnswer: 801065900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 1 + 15. Let n be (20\/g)\/((-2)\/(-4)). Let a(p) = 2*p + 5. Let c be a(n). What is the closest to -1 in 2, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2300 - 3621*a**2 - 2300 + (3 - 3 + 2*a)*(-a + a + a) + 0*a**2 + 0*a**2 + a**2.\nAnswer: -3618*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/151 (b) 0.215 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((4*sqrt(80))**2 + sqrt(5))*-3.\nAnswer: -3842 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 256 - -46722?\nAnswer: 46978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -1\/60*o**5 + 0 + 0*o + 9*o**2 + 0*o**3 + 0*o**4. Let q(u) = u**2 + 43. Determine s(q(f)).\nAnswer: -f**4 - 86*f**2 - 1849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(8 + -11 - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182373.1 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/11 and 76\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -220 + 220. Let d(c) be the third derivative of 0 + w*c**3 + 1\/60*c**5 + 7*c**2 + 0*c - 1\/12*c**4. Factor d(y).\nAnswer: y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.148 + 3.148. Let w = 1.956 + 0.044. Which is the nearest to 5\/8? (a) 5 (b) w (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 2. Let c be q(2). What is the remainder when 38 is divided by (13\/(-4))\/((-1)\/c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 139*h + 290. What is a(-71)?\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/2 + -1396 + -5. Let n be 2 - g*(-85)\/10. Let i = n - -321915. Round i to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 20*s**2 + 14*s + 20. Let c(x) = 7*x**2 + 5*x + 7. Determine 11*c(q) - 4*v(q).\nAnswer: -3*q**2 - q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131 and 54889?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27479 - 13014. Suppose 0 = 12*j - 17*j + o. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a - 2. Let v(x) = -8*x - 161. Let u(b) = -7*b - 138. Let i(n) = 7*u(n) - 6*v(n). Suppose 2*z - 9 = -z. Give z*i(p) + g(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2399763004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 225 + -390. Let p be (-162)\/m + 20\/(-25). Factor -6\/11*n - 4\/11 - p*n**2.\nAnswer: -2*(n + 1)*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 146475*z**2 + 10*z.\nAnswer: 5*z*(29295*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 175832 + -175723. Let a = 57 - 26. What is the remainder when i is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11311445.6 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.5 - -11.8. What is the smallest value in 15\/4, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 21 = 5*s - 3*n, -3*s + n = -21. Suppose z + 15 = s*z. Let i(a) = -2 + a**3 - 2*a**2 - a - 3*a**2 + z*a**2. What is i(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 80.19785 micrograms?\nAnswer: 80197.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 k, and 1 u when three letters picked without replacement from zvzzzuzkkd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -1\/6*j**4 + 3*j**2 + 0*j**3 + 0 + 0*j - 1\/15*j**5. Determine p, given that q(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -444 from -252493393.\nAnswer: -252492949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79860995 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.43, 2\/7, 4.9, 2 in decreasing order.\nAnswer: 4.9, 2, 2\/7, -0.43, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.02218 or 8229?\nAnswer: 8229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -328 - -209. Which is greater: -118 or k?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 2:38 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 4*m. Suppose m = 4*u - 3*h - 22, 0*u = -5*u - 2*h + 16. Suppose 2 - u = -r. Solve 4*o + r*c = 0, c + 7 = -3*o + 3*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4267821 is divided by 1779.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - -16. Suppose -2*s - 12 = -4, -f + 272 = 2*s. Let o = 296 - f. Calculate the remainder when k is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1 - 0 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y**2 - 14*y**2 - 2*y - 9*y**2 - 7*y**2 + 43*y**2 + 313 to the form s + d*y**2 + j*y and give s.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(32)*-1 + 5)*-4 + -1 + 4*(sqrt(32) + -1)*-1)**2.\nAnswer: -12416*sqrt(2) + 17601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/(-11))\/((32\/12)\/(-2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (528\/(-96))\/((-5)\/(-10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8265*m - 2. Is k(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.726844ml in litres?\nAnswer: 0.002726844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 20135160*o - 20271233411280.\nAnswer: -5*(o + 2013516)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-6 + -3 + (20 - 15) + 5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7d6 - -ba8?\nAnswer: 3d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hllzlbbllblblhl. Give prob of picking 3 l.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.33? (a) -22 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6aa613 (base 12) in base 16?\nAnswer: 1a38ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-8)\/(-2244)*-3). Suppose -9*d + 245 + q = 0. Suppose g = d - 8. Calculate the lowest common multiple of 8 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58311)\/(-9207)*3\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-5) - (-219760)\/25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/10904 and 103\/238380.\nAnswer: 22407720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s - 20. Let k be l(-6). Suppose 0 = -3*v + 191 - 47. What is the greatest common divisor of k and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-16 + 7)) + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -236\nAnswer: 1\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 - (-30 + 29).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96048 is divided by 236.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29551, -45739, -61927, -78115, -94303, -110491?\n\"Answer: -16188*v - 13363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508*c - 1524*c + 2032*c - 2*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 540921549?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y = 44*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, -20, 3\/7?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 281509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**2*w**2 + 6*q**2 + 257*q*w**2 - 22*q*w + 20219*q + 55012*w**2 - 3*w wrt w.\nAnswer: -4*q**2 + 514*q + 110024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1705*v - 88853 + 18948 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + z + 4. Let y be u(0). Let l be 2*(-1 + y) + -1. Solve 3*d - 2*o = -16, -21 = 2*d - l*o + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2976 divide 2440939711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/34)\/((3\/10)\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -15, 1, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - (-136)\/(-16))*-8. Suppose 9 = -4*n - 3*r, p*r - 3 = 5*n + 5*r. Solve 3*y - 3 - 3 = n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 524 - 7*l**2 + 6*l**2 - 524 + 0*l**2. Let i(x) = 153*x + 2. What is i(d(t))?\nAnswer: -153*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 1132210*a + 64094974205.\nAnswer: 5*(a + 113221)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 441441835 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15592 is divided by 311?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 29*q**2 + 2*q + 2. Calculate the least common multiple of 33 and z(29).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/r*r*r*r**(1\/2))**(4\/15)*r\/(r\/((r*r**(-2\/17))\/r*r))*r*r**2*(r\/r**(-4))\/(r**5\/r) assuming r is positive.\nAnswer: r**(1619\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o, -4*l + 2*l + 366 = 2*o. Suppose x - 3*a - l = -21, -4*a + 318 = 2*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38757.\nAnswer: 3, 12919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110001 (base 2) in base 13?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.3414 - 1.3383. Let t = 6 - h. Round t to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*h + 246. Let p = 57 + h. Suppose 0 = -5*x - k + 77, 89 = -2*x + 7*x - 3*k. Are p and x nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4, 22, -0.2 in increasing order.\nAnswer: -0.2, 0.1, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1357060 and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -49. Let n = g + 16. Let i be (n\/8)\/((-1)\/10). Solve -3 - i = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 6*r + 4 - 14.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 4 = -2*u - 3*c, -5*u = 2*c - 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 1.03?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 462 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 - 2.8. Let k = -294 + 294.665. Let n = l + k. Round n to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 78*b - 2582. What is u(-25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 - 16\/(-6). Suppose 22 = 3*z - j, 0*z = p*z + 3*j - 6. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15786, -31488, -47188, -62886, -78582?\nAnswer: -94276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 5*m + 28, 40*m - 42*m + 2*s + 14 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/33 - (-120)\/55.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3998975 and -0.094.\nAnswer: -3998975.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 4645?\nAnswer: -4640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.104 + -1108\nAnswer: -1107.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2148 + 17d0?\nAnswer: -868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13481 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.064 + 3.064. Let z = -20.5 - -10. Let p = z + 1.5. Which is the closest to 0? (a) -2\/7 (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -o - 34 + 30, 5*o - 4*k + 19 = 0. Suppose 4*u = u + 18. Let s be 9\/u*(-8)\/(-6). Sort s, -6, o in ascending order.\nAnswer: -6, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -5)*((39 - 39) + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 365770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 342\/7 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - (5 - 3))*1. Suppose 11 = -5*w + 56. Solve -4*q + 8 = -3*o, 3*q - w = -a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 2\/15*w**6 + 2\/5*w**5 + 0*w**2 + 0*w**3 + 7*w + 0 + 1\/3*w**4. Factor g(n).\nAnswer: 4*n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**3 + 101*k**2 - 25*k + 303. Determine w(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, -5, 3 in increasing order.\nAnswer: -14, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(77) + sqrt(77)*4))\/(3*sqrt(7)*-5 + sqrt(7)).\nAnswer: -5*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1001001111001111000111?\nAnswer: 1001001111001111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 601.\nAnswer: -1\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -3, 17838, -1, 3, -2\/7 in increasing order.\nAnswer: -3, -1, -2\/7, 2\/11, 3, 17838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228853793.\nAnswer: 7, 163, 200573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*z)*(-2*z - 3*z + 3*z) - z**2 - 2*z**2 + 2*z**2 - 5*z**2 - 10*z + 21 - 22 + 9*z.\nAnswer: -2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 5) in base 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*d**4 - 20*d + 0*d**3 + 2*d**3 + d**2 - 22*d + 20*d + 23*d - 2 to the form w*d + j*d**2 + r + t*d**4 + v*d**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q**3 - 137*q**3 - 2 + 2.\nAnswer: -101*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -15*j. Let t(n) be the third derivative of n**4\/24 - n**2 - 49. Determine d(b) + 12*t(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*d + 347304 = 101*d. Round d to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2388831857?\nAnswer: 17, 140519521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18729*z**4 - 7852?\nAnswer: 74916*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68*r**2*x**2 + r**2*x - 2*r**2 + 5*r*x + 22*r + 21*x**2 - 1404 wrt x.\nAnswer: 136*r**2*x + r**2 + 5*r + 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-14) + 263\/14 + (-112)\/392?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-306)*-29*(-101)\/(-5858).\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 349*t.\nAnswer: 349*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-90)\/(3 - 46\/15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 1484?\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*n - 118*n - 74 - 36*n + 624 wrt n.\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 506 from -4604210115.\nAnswer: -4604210621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) -127373 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**5\/9 + 1046*l**4\/9 - 105920*l**3\/9 + 5195854*l**2\/9 - 41175904*l\/3 + 126738304 = 0.\nAnswer: 33, 56, 167\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -1 - (2 + -15 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 1 - (-14 + 17) - (25 + -12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77798.2 + -77798. Let i = 44.7178 + -0.4878. Let g = -44 + i. Which is greater: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-268)\/(-32) - (-577 + 567).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/125215 and 31\/5?\nAnswer: 125215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240922.\nAnswer: 2, 11, 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = c + 36, -2*y - 5*c = -c - 24. Solve -y*u - 25 = -7*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8686943, -8686948, -8686957, -8686970?\nAnswer: -8686987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 2. Let g be v(5). List the prime factors of g - (0\/(-4) - 35).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1219333208?\nAnswer: 2, 19, 757, 10597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 + 218. Suppose -c + 2*c = -i + 39, 3*i = -2*c + u. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/8, -5, -3, 3, -7272?\nAnswer: -7272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.8 - 6.8. Let f = 5.12 + -0.52. Let y = m + f. What is the biggest value in 2\/9, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -9 + 2 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7349\/5 + -1469. Factor -h**2 + n - 8\/5*h.\nAnswer: -(h + 2)*(5*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -0.4, -6, 0.2, -4\/7 in descending order.\nAnswer: 4\/9, 0.2, -0.4, -4\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3*v - 11 = -2*a, -v - 5 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 61 = x + 394, 0 = x - 3. Suppose -14*i + z = 84. Solve i = -3*j + 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1491*i + 1332*i = -2599650. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 43016.\nAnswer: 129048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3 + -3 + sqrt(242) + -2)**2.\nAnswer: 66*sqrt(2) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60043869.\nAnswer: 3, 23, 31, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c9e0022 + 3?\nAnswer: -1c9e001f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 3*j - 7, -j = 4*v - 3*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**6\/5 - 11*v**5\/5 + 22*v**4\/3 - 10*v**3\/3 - 9*v**2 - 432*v. Let l(r) = 0. What is r?\nAnswer: -9, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 350712127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -0.4 (b) 528898 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {f: 2, m: 6, v: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/(-170))\/(12\/10)*-24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 0.4 (b) 1\/3 (c) -0.059 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19831 and 105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733536 is divided by 46849.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165432370 and 314321503?\nAnswer: 3143215030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144421050.\nAnswer: 2, 3, 5, 962807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -858497*a - 2961878 wrt a.\nAnswer: -858497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -277 - -277.3. Which is the third biggest value? (a) z (b) -1 (c) -2\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169\/5623498 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(17)*6 - (4 + sqrt(17) + -2)**2) + -4.\nAnswer: -25 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11824\/10 + (-408)\/(-255). Let x = s + -640. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 g, and 1 z when three letters picked without replacement from jjjjjjezhjjjjjgh?\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2995805\/8 or -374476?\nAnswer: -374476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, s: 6, b: 2, h: 1, f: 1}. Give prob of picking 2 s and 2 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 1156512?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkp. Give prob of picking 2 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-75))\/((-6)\/20)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-68))\/((-7745)\/(-3098)*(-3)\/(510\/(-4)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1675901 to the power of 1\/2, to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8336.843 rounded to the nearest ten?\nAnswer: -8340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -33. Let s = -3.26 - -1.26. What is the nearest to -1.2 in s, -2\/9, 4, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847 + 871 = -4*g + 4*n, -4*n + 24 = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2664448870 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.3403662 millimeters?\nAnswer: 0.03403662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/81, 5, -1\/3, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 63. Let r = 77 + w. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 725338.319969 - 725307.32. Let m = d - 31. What is m rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.473551 + -68\nAnswer: -63.526449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 1 - -16*1. Let p(r) = -r**3 - r**2 + 5*r + 4. Let m = -7 - -4. Let x be p(m). Calculate the greatest common factor of x and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**4\/2 - 4*p**3\/3 + 2. What is the remainder when x(3) is divided by (-3)\/(-2)*80\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 0*h**3 + 155 - 77 + 8*h**3 - 74.\nAnswer: 7*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5 = n + 3*j - j, 0 = n - 6*n - 7*j - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 5:47 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - y**3 - 2*y**3)*(-12 - 4 + 1)*(-19*y**2 - 28*y**2 + 5*y**2).\nAnswer: -2520*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/8 + 185*k\/2 - 741\/8 = 0. What is k?\nAnswer: -741, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*h + 3*h. Let o be (13\/(-39))\/((-10)\/h). Let x(u) = u**2 + 4*u - 2. Let n be x(-4). What is the second smallest value in 1\/3, n, 0.04, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9702094 to the nearest integer?\nAnswer: 3115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130539284 and 941.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s**2 - 5*s + 1. Let o(l) = -2*l**2 + l - 2. Let m(r) = -11*r**2 + 5*r - 11. Let q(v) = -m(v) + 6*o(v). What is -3*q(k) - y(k)?\nAnswer: -5*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -3108.834098212?\nAnswer: -3109.134098212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-370 - 367 + 734 + x)*(7*x - 2*x - x) + (0 - 2 + 3)*(5*x**2 - 2*x**2 - x**2) - 1 + 1 + x**2 to g*x + z*x**2 + n and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 13*k**2 + 19 + 17 - 54 + 2*k + k**3 - 3*k**4 + k**3 in the form o*k + m*k**2 + i*k**3 + q + j*k**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 20008992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884859.2s in minutes?\nAnswer: 31414.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -113. Let w = u + 45. What is the remainder when w is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppwhhhpwhknhwkkkkv. What is prob of picking 3 w and 1 n?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + -47 + -4 - 78.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 + -107. Solve 2*s - t + 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -68*d. Does 17 divide h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/7, -0.13, 48, 3.3, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -111111101011100000 (base 2) in base 7?\nAnswer: -2134305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337 - 1 = 4*q. Suppose -g = 2*n - 10, g - 3*n - 16 = n. What is the greatest common divisor of q and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5646193, -5646194, -5646195?\n\"Answer: -w - 5646192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -8052\/17131 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + ((sqrt(187)*-4 - sqrt(187) - sqrt(187)) + sqrt(187) - sqrt(187)))\/sqrt(11) + sqrt(102)\/sqrt(6) + -2)**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 2 + 41*f**3 - 2 - 10*f**2 - 39*f**3.\nAnswer: 2*f**3 - 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**4\/6 - m - 49. Let f(g) = -995*g. Calculate f(k(p)).\nAnswer: 1990*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 45*i**2 + 2 - 75*i**2 to d*i + k + b*i**2 and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-538)\/44385*33\/(-6)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = -12*l + 171. Solve 5*u + l*o = -o + 10, 5*u - 28 = 4*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*q = 6 - 44, 2*p + q - 31 = 0. Let d be 752\/p + (-10)\/(-45). Let h(x) = -d*x + 9*x**2 + 42*x. Let k(y) = -y. Calculate k(h(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1088) + -1 + -5 - sqrt(1088))**2*-2 - (sqrt(1088) + 0 + 5 + -2 + sqrt(1088)*1 + sqrt(1088))**2) + -2.\nAnswer: -9880 - 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 579 - 2901\/5. Which is the nearest to 0? (a) -1\/7 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -177, -476, -977, -1728, -2777, -4172, -5961?\nAnswer: -8192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 1. Let h be (-12)\/10 - 6\/(-30). Let w(z) = z - 2. Let g(x) = 2*x - 3. Let j(n) = 2*g(n) - 5*w(n). Let l(a) = h*j(a) - 4*c(a). Determine l(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 425, 801, 1167, 1517, 1845, 2145, 2411?\n\"Answer: -o**3 + o**2 + 380*o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3 + 1688*t**2 - 1 - 1656*t**2 - 7 as n + w*t + b*t**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b = 2*k - 181006, 4*k = -4*b + 724012. Round b to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3505*i**4 + i**2 - 1986 wrt i.\nAnswer: 14020*i**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 71 = -2*f + 291, 0 = -3*k + f + 284. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3750, 9466, 17132, 26748, 38314?\nAnswer: 51830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*m + 11. Let h = m - -1. Let x be (2\/h)\/(8\/(-24)). Solve -3*i - 3*r + 2*r = -x, 5*r = 2*i + 22 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**4\/8 - 11*d**3\/3 - 73. Factor s(w).\nAnswer: w**2*(w - 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.42579 centimeters?\nAnswer: 0.0000642579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0, -1, -3446, 0.1, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -2.29391401?\nAnswer: -1.79391401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 384, 1\/4, 2\/9, 1\/2, -287, -2\/7?\nAnswer: 384","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67795*b**3 + 44134*b wrt b?\nAnswer: 406770*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2.54468*1\nAnswer: 2.54468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*b - 5 + 13, 4*b = -2*r + 8. Suppose f + 4*j - 14 = 0, -f + 70 = 4*f - 3*j. Calculate the smallest common multiple of f and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 32\/7 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9476*y + 9392*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*(sqrt(30) + sqrt(330)\/sqrt(176)))\/((sqrt(2688)*1)\/sqrt(7)))*2.\nAnswer: -6 + 25*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**3 + u**3 - u**3)*(-3*u - u + 2*u) - 3*u**4 - 258*u - 1002*u**3 - 251*u + 766*u - 259*u in the form y*u**4 + o*u**2 + d + n*u**3 + g*u and give n.\nAnswer: -1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(j - 4 + 4) + (8 - 2 + 14)*((4 - 1 - 1)*(0*j - 2*j + 0*j) + 4*j - 2*j + 0*j + 4 - j - 4 + (-3 + 3 + 2*j)*(-5 + 3 + 0) + 1 + 2*j - 1).\nAnswer: -99*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - (-58)\/10)*5 + -1. Solve w = 2*v - 5, s + 1 = 3*w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**6\/120 - q**5\/12 - q**3\/3 - q**2. Let k be (-9 + -1 - -4 - -6) + 6. Calculate the remainder when s(k) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 96\/(-60)*(-5)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 - 0. Suppose 0 = 4*n - z + 1. Suppose -2*y = -3*y + 50. What is the greatest common divisor of y and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2.9. Let d = -0.0434 - 0.1166. What is the nearest to n in d, -4\/7, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.03896?\nAnswer: -0.11688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 7:32 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -16. Suppose -2*m - m - 30 = r. What is the third smallest value in -1\/2, -5, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745717.\nAnswer: 7, 106531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 25.5. Let h = 8 - u. Let o = h + 1. Put -2\/11, o, 0.4 in ascending order.\nAnswer: o, -2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*h - 3*h - o, 5*h - 5*o + 50 = 0. Let w = -4 - h. Let y be (22 - w) + (-1 - 1). What is the greatest common factor of 153 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + ((16 - -2) + -1 - (-9 - -2))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = v + 37, -5*v - 11 - 30 = -y. Suppose -m - 4*q = -23, -m + 4*m - 5*q + y = 0. Suppose m*k = 5*k - 1282. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -99, 2, 7, -2\/7, -0.3, 0, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 10. Let o be v(-6). Let j be ((-5)\/(-3))\/(o\/(-12)). Solve -r + 0 = j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 151586 (c) 1\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47214 - -4296519\/91. What is the common denominator of d and -103\/910?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r + 34*r = 2*q + 2, -2*r + 1 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/8)\/(12\/(-24))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -232 + 745\/3. Find the common denominator of 3\/2 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-1 - (-17 + (-845)\/(-52))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*j + 35358, -o - 147*j + 7044 = -142*j. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(19) + -1 - (5 + (sqrt(19) + 0)**2) - (1 + sqrt(1539))*-1.\nAnswer: -24 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 15850938 + 22655*p**2 - 15850938 in the form v*p + k + u*p**2 and give u.\nAnswer: 22655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let b be f(6). Let a be 10\/b + 7\/21. Let j(o) = -350000*o**2 - o + 2. Let z be j(a). Round z to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12029.899856 - -12030. Let j = -0.5 + 0.4. Let b = f + j. Round b to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126 + 167. Suppose 49 + f = 9*z. Solve -z*r - 25 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/276 and -27\/920.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*a - 25 = 0, o - 6*o + 5*a = 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - 68?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-18)*(-4266)\/(-40290)\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 27. Suppose y = -x - 2*x + 153. Suppose -27 - x = -2*n. What is the greatest common divisor of n and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 10*f**2 + 3*f. Let w = -92 + 95. Let h(z) = 21*z**2 + 7*z. What is w*h(s) - 7*y(s)?\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**6 + 27760*p**3 + 66991*p**2 wrt p?\nAnswer: 240*p**3 + 166560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -419 + 17*k**2 - 11*k**3 + 30*k + 419. Let h(n) = -31*n**3 + 51*n**2 + 92*n. Let o(i) = -17*g(i) + 6*h(i). Factor o(s).\nAnswer: s*(s + 3)*(s + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -12, 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (463794\/459)\/(1\/9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2900 - 2376. What are the prime factors of s?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrxrxrrrrrrrrrrr. Give prob of sequence rx.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 10*p**2 - 9*p - 14. Give h(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3.3. Let v = -4.7 - u. Let m = v - -8. What is the second smallest value in 5, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + 235. Suppose -2*a + x = a. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, j: 3, f: 5}. What is prob of picking 3 f and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 9*w = -2*z, 2*z = 5*w - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2. Let z(y) = 2*y**2 - 3*y**2 + 3*y**2 + 2*y**2. What is z(u(p))?\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 4) in base 7?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, -1635, -0.08, -0.2 in descending order.\nAnswer: 0.1, -0.08, -0.2, -2, -1635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016072899 to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 - 6*k**2 - 6*k + 4. Let x(l) = 4*l**3 - 7*l**2 - 7*l + 5. Determine -4*x(y) + 5*z(y).\nAnswer: -y**3 - 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72\/5*d + 0 + 3\/5*d**3 + 3*d**2.\nAnswer: 3*d*(d - 3)*(d + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 483900684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 1*(sqrt(3) + 1) - sqrt(432)*2) + ((sqrt(264) - (sqrt(264) + sqrt(264)*-2 + sqrt(264) - sqrt(264)))\/sqrt(8))\/sqrt(11))**2.\nAnswer: -40*sqrt(3) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-630)\/(-504)*264\/(-10).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28108 divided by -7027?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 31. Let i = -19 + t. Which is the closest to i? (a) 0 (b) -4\/7 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*j + 40 = 0, 3*a - 3*j - j = -20. Let h be (a\/24)\/(2\/(-208)). Is 23 a factor of h - 4\/(3\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**4\/x*x**2*(x**(1\/4))**(1\/2)*x**(1\/9)\/(x\/(x*(x**(5\/4)\/x)\/x*x))*((x**(-1)*x)\/x*x)**(-39) assuming x is positive.\nAnswer: x**(395\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 46?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1889606 - 114.2.\nAnswer: -1889720.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -760 + 1298. Find the common denominator of -49\/24 and d\/120*-2 + 36\/45.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1180140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o. Let m(d) = -16573*d. What is m(z(x))?\nAnswer: 33146*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -812512 divided by 203128\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1072)\/(-10720))\/(15\/1320).\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 370 + 6b1d5?\nAnswer: 6b565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v - 41*v = -62*v - 183711. Calculate the greatest common divisor of v and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18378 and 396495.\nAnswer: 809642790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1404 divided by -78\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*n, -n + 0*l = -l + 5*l - 3*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 * 1\nAnswer: -0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 174973732 - 174973716.3002482. Let p = 15.7 - y. Round p to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93 + -94. Which is the nearest to 0? (a) m (b) 0 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9132, -18352, -27572, -36792, -46012, -55232?\nAnswer: -64452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(3*v - 3*v - 2*v)*((5*v - 5*v + 4*v)*(2*v + 0*v - 9*v) - 6*v**2 + 3*v**2 + v**2).\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 4*r - 4. Which is the nearest to 0.1? (a) -0.1 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/84)\/(2\/(-8))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 63 = -4*z - 14, 0 = -3*z - a + 35. Calculate the remainder when z is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 3*k**6\/20 - k**5\/10 - 5*k**4\/12 - k**3\/3 + k**2. Factor i(u).\nAnswer: 2*(u - 1)*(3*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 3\/(6\/(-257996)). Round m to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - (4 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -73, -82, -95, -112?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*m, -4*m - 156 = -4*x - 0*m. Let s be 20\/385*x\/10. Suppose l - 27 = -2*l. What is the closest to l in s, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from aaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - h**2 + h + 5. Let w be y(0). Suppose 10 + w = 3*c + 3*g, 0 = 4*g. Suppose 0 = -0*t + 5*t + 5*r - 315, -c*t = -5*r - 355. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.988413 rounded to three dps?\nAnswer: -0.988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 - -12 - (3 + 0). Let d(v) = -22*v**2 + 3*v + 3. Let k(f) = -22*f**2 + 4*f + 3. Let g(l) = -6*d(l) + 5*k(l). Is g(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10, -2.01, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1498658 and 17948.\nAnswer: 2997316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1299 - 1299 + 3*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 + -122.2. Let r = h + 9. Is -0.3 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/7*4\/(-6). Let d(p) = 2*p - 43. Let l be d(15). Let g be 2\/l + (-57)\/(-117). Which is the closest to x? (a) 1 (b) 0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7858, 7835, 7814, 7795, 7778, 7763, 7750?\nAnswer: 7739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) -3 (b) 145.3 (c) 1\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l*l**(2\/3))\/l)\/l**(-2))\/(l**(2\/5))**18)\/((l**(1\/2)*l*l*l**(4\/7)\/l)\/(l**5\/(l*(l*l*l*l**(-4\/5)*l)\/l))) assuming l is positive.\nAnswer: l**(-799\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k + 21 = 0. Let w(h) = -7*h + 34. Let d be w(14). Let l = k - d. What are the prime factors of l?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 5. Suppose -17 = 4*j - 37. Suppose j*m + 4 = 34. Let d be (-2 + 4\/m)*(-15)\/(-10). Let c(b) = 2. Give d*q(u) - 5*c(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04296 and -5.\nAnswer: -0.2148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-10) - ((-362292)\/(-35) - 7). Let d = m - -20984. Round d to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 708*u + 6974. What is j(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36 - 0)\/3*-1. Let q(p) = 6*p - 35. Let r be q(5). Is (-3442)\/n - r\/30 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkqqkkqkkkqkkk?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**3\/9 - 40*m**2\/3 + 800*m\/3 - 16000\/9 = 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4 + 34\/408?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 4362896?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3446, 6959, 10562, 14285, 18158, 22211, 26474?\n\"Answer: 5*v**3 + 15*v**2 + 3433*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40185 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2628 - 1107. Let g be t\/65 - 6\/10*-1. Solve 9 = 2*o + l, 4*l = o - 5*o + g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 10. Let w be x(7). Solve -2*j - j + 2*v - 2 = 0, w*v + 35 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 1. Let a = 1 - 2. Let f(l) be the first derivative of -9*l**2\/2 - 7*l - 1528. Give a*f(i) - 6*n(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400505.\nAnswer: 5, 7, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 2. Let h be c(6). Suppose h*x = 5*u + 33, -2*x - 2*u = -6*x + 18. Suppose -5*g + g - 4*g**2 + 3*g + 3*g**x = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 bigger than -68921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxxxxxxxpxpxpxppxxx. What is prob of sequence ppx?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/27 and (-167)\/(-144) - (-4 + 5).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7747674 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 13) to base 15\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvljrvjj. What is prob of sequence jjrj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6415542 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**4\/2 + s**3\/2 - s**2 + 9*s. Let n be z(4). Suppose -n = -4*p - 3*j, -5*j + 31 = p - 2*j. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide (5558\/84)\/((-3)\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(0 + 1) - 0. Let w be 3 - (0 - (1 - k)). Let c be 6\/4*(-1 - -3). Solve 12 = w*r - c*f - 12, -2*r = -4*f - 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1300))**2 + sqrt(91)\/sqrt(112) - -3*(sqrt(65) + (-2*(sqrt(65) + sqrt(65) + 2*sqrt(65) + sqrt(65)) - sqrt(65)))\/sqrt(5).\nAnswer: -119*sqrt(13)\/4 + 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00062219 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*q + 414 = 0, q + 482 = 4*u - 356. List the prime factors of u.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165431 + 245767. List the prime factors of i.\nAnswer: 2, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a - 40*a + 11*a)*(a**2 - a**2 + a**2)*(244 + 159 - 493) + (2*a**3 - 3*a**3 + 2*a**3)*(3 + 0 - 2).\nAnswer: 1711*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-126)*(21\/14)\/((-1)\/(-2)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001133169 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 34. Suppose s + g = 2*s. Suppose -20 = 4*c, 3*m - 4*c + 5 = s. Solve 0 = 2*w + 5 + m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330861701 divided by 2.\nAnswer: 330861701\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4144403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**3 - 105444850*q**2 - 555930819576125*q = 0.\nAnswer: -10544485, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -6*p + p. Calculate the common denominator of (-1260)\/(-27)*2\/p and 61\/35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -0.0299.\nAnswer: -2.0299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6255484273 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/4 + 0)\/((-2)\/4). Let f be n\/4 + 4\/(1 - 9). Solve f = -3*s + 2*v - 23 + 4, -5*s - 19 = 3*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 + 2*h**3 + 19*h**3 - 10*h**3 + 3 + 4*h**3 + 2868*h - 2868*h.\nAnswer: 9*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -5 + 3 - (0 + -21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooodooodooqo. What is prob of picking 2 d?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2. Let k(x) = -244*x**2. What is k(q(t))?\nAnswer: -3904*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 25 - 14 + 24 + 19)*(u + 18 - 18 + (-38 - 12 + 9)*(2*u + 4*u - 5*u)) as j + q*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -6. What is the remainder when n is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 59781*a - 59777*a + 24, -3*a - 6*m - 18 = -3*m for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/88 - 45\/4. Let h = w - -11. Suppose h*a + 280 = 4*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 3\/1487, -3\/28, -0.3, -3?\nAnswer: 3\/1487","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 54.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r - 3. Let k(b) = b - 6. Let i be k(8). Suppose -p = -5*z + 9, -2*p - i*z = -0*p + 6. What is the units digit of t(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k + 147. Calculate the least common multiple of n(-45) and 4158.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (-1*sqrt(204) - sqrt(204))*2 - (sqrt(204) - sqrt(204)*-2*-6))\/(sqrt(60)\/(sqrt(10)\/(sqrt(2) - 2*sqrt(2)))).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112727337679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-8)*(-28)\/42*-5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5003606 or -5003794?\nAnswer: -5003794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, c: 9}. What is prob of sequence cccc?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssssgssggsgssss. Give prob of sequence gg.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/8 - (2 + (-52796)\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 581520086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**4 + 6*u**2 - 8. Let g(y) = 11*y**4 + 17*y**2 - 23. Suppose j + 68 = 5*j. Let m(q) = j*p(q) - 6*g(q). Differentiate m(x) wrt x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -10*q + 567. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -18 + 2 + 0 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6*w - 351 = 0. Suppose -37 = -3*k + 62. Let x = 46 - k. What is the greatest common divisor of x and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 138*b - 130*b - 40. Suppose 0 = 4*i - 16, 0*r + 2*i = -b*r + 88. Calculate the smallest common multiple of 540 and r.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 5. Suppose 3*z = -0*z + m. Solve -6*t**3 + 12*t**2 - 6*t**3 - 3*t**z + 6*t**4 = 0 for t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15662 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**5\/40 - u**4\/8 + 2*u**2 - 6*u. Let o(y) = 0. What is y?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2736 + 4096. Calculate the remainder when d is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*j**5 + 38*j**5 - 7*j**3 + 3*j**3 + 39*j**2 + 36*j**5 - 390*j**2 wrt j.\nAnswer: 1440*j**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 613 = 5*o, -4*o + 504 = -0*g - g. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggkuykkukgkkakkg. Give prob of picking 2 u and 1 g.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 5*d + 108 = -32*k, -5*k = -5*d + 690. Is -15 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353927 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*c - 220. What is the tens digit of 8\/3*c\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 316*c + 2. What are the prime factors of q(1)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -631*f**3 - 281 with respect to f.\nAnswer: -1893*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2465 (base 11) to base 14.\nAnswer: 125b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 6 = -5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/147? (a) 2\/5 (b) -6.3 (c) 0.3 (d) -0.02 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57\/20 - 179\/60. Which is the fourth smallest value? (a) -0.1 (b) 3\/2 (c) i (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -15\/15464948?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7828 (base 10) to base 3.\nAnswer: -101201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36923, -73895, -110877, -147869, -184871?\nAnswer: -221883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 9*u - 3)*(-15 - 17 - 29)*(-6 + 9 - 8).\nAnswer: -2745*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2470118 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 3*j**5\/20 - 11*j**4\/8 - 2*j**3 - 7*j**2 + 15*j. Let k(w) be the first derivative of o(w). Factor k(q).\nAnswer: 3*(q - 4)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1295\/(-840) + 10\/6.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 681*z = 5*j + 685*z - 32, -2*z + 23 = -10*j + 115 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 - 1.3. Let k = p + 0. Let v = -2 + 7. Which is the closest to -3? (a) 0.5 (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*j = 42, 44 = 5*y - 2*j + 8. Let h be ((-24)\/9)\/((30\/(-108))\/5). Calculate the highest common factor of h and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2036 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 23 + 265 = 0. Calculate the remainder when n is divided by 19 - (-6 + 6)\/(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/44*40\/(-3). Let g = 13907\/9394 + -385\/122. Let k = g + j. What is the second smallest value in k, -3\/8, 4\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -639895 divided by 8.\nAnswer: -639895\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2.4750629.\nAnswer: -2.4750629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 7*m**2 - m**2)*(-m**3 - 4*m**3 + 2*m**3) - 9*m**5 + 2*m**5 + 50*m**5.\nAnswer: 28*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -48*q**3 + q**2 + q - 1. Determine i(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*o)*(94 + o + 87 - 172) - 3*o**2 + 2*o**2 - 3*o**2 as n*o + d*o**2 + t and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156*g**2*y**3 + 4*g**2*y - 2*g*y**2*z + 2*g*y**2 - 2*y**3*z + z wrt y?\nAnswer: -936*g**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -118 + 54 - (-3 - (-4 - 4))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**2 + 2*q + 125. Determine f(0).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(225\/20)*(3 + 2). Sort 6, -48, d, 7 in descending order.\nAnswer: 7, 6, d, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**2 - 40\/33*m**4 - 3 + 6400\/33*m**3 + 1\/330*m**5 + 0*m. Factor o(l).\nAnswer: 2*(l - 80)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -6. Suppose -3*q - 3 = -4*k, 2*q - 4 = -5*k - 6. Let l be (-10 + 0)\/(0 + -2). Sort k, l, 4, u.\nAnswer: u, k, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 165 + -3?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 13) to base 11.\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1544757 and 0.03?\nAnswer: 1544757.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -41872996 to the nearest ten thousand.\nAnswer: -41870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -421\/20 - -101\/4. Suppose -i - 1212 = -5*b + 442, 2*b = -10. Let k = i + 8441\/5. Find the common denominator of k and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*w + 4*b, 0 = 2*w - w + b + 3. Let d be 4 - (512\/(-28))\/(-4). What is the nearest to 1 in 4, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = 0, 0 = -5*v + 2*i + 9 + 17. What is the lowest common multiple of 3*170\/75 - (-2)\/10 and v\/(-10)*(-9 - 1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let m = -169\/63 + 18\/7. Do m and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x = -48. Let m be x\/90 - (-43)\/(-15). Sort m, -5, -4 in descending order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 + v**4 - 7*v**4 + (34*v - 3*v - 3*v)*(-3*v**3 + 5*v**3 - v**3).\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22543766951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 6:47 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111121120000 (base 3) to base 12.\nAnswer: 5421a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 13*a**2 - 13*a + 13. Let h be x(-14). Let t = h + 3. What is the units digit of -26*(-2 - -1) - t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 2*r + r. Let u(m) = -4*m**2 + 5*m + 5. Let d = 6 + -1. Let v(k) = -2*k**2 + 2*k + 2. Let c(g) = d*v(g) - 2*u(g). What is c(l(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -165 + 3*g**2 - g + 458*g**3 + 161 - 459*g**3 to the form a + m*g**2 + l*g + c*g**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -14 - 407\/(-33))*6\/(-32).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**5 + 2*r**2 - 2*r**2 + r**5 - 2*r**3 + 2*r**3 + (-2*r**2 + 4*r**2 + 4*r**2)*(2*r**3 + 2*r**3 - 5*r**3) - 2*r**5 + 2*r**5 + 4*r**5.\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4 - 9*w - 5 + 1 - w**2. Let c be ((-5)\/(-3) + -2)*-15. Suppose -4*r + c*g = 33, 0*g + 18 = -3*r - 3*g. Give a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4))**5*x\/(x**(2\/17)*x)*x*x**(-1\/9)*x*((x*x*(x**5*x)\/x)\/(x*x*x**(-5)))\/(x**6\/(x\/x**6*x)) assuming x is positive.\nAnswer: x**(1849\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.28107582 and -5.63.\nAnswer: -5.34892418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/31322?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65054 divided by 22?\nAnswer: 2957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*k - 1689 - 407 = 50*k. Solve 17*g - 66 = -k*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6083784229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-910)\/429)\/(-35) + -3*(-3261)\/297.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 7. Let h(n) = 4*n**2 + 7*n - 4. Let t be h(-7). Calculate the greatest common factor of a and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (260\/((-183040)\/45584))\/(14\/2)\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 + 11 = 5*p, 2*p - 5*o = -11. Let x be -2 + 1\/((-14)\/(-184)). Let h = 11 - x. Which is the second biggest value? (a) p (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 2*z - 1. Let q be t(-2). Let p = q + 1. Suppose p = d - 0. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 148 + -226. Let i = x + 76. Let m = -19\/8 - -71\/40. Which is the second biggest value? (a) 1 (b) -5 (c) i (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6525 - 57?\nAnswer: 6446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1600158.6937 to the nearest 10.\nAnswer: 1600160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13667644169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 2\/11, 58003.\nAnswer: -30, 2\/11, 58003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2686607 = 19*i + 2687557 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(75))**2 + (3*sqrt(75)*-1 - sqrt(75))**2.\nAnswer: -20*sqrt(3) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (3 - -1)) + (-16 - (-30 - (13 + -28)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2040194 is divided by 284.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 6. Let u be q(-4). Let l be 52*((-3)\/u - -2). Suppose -5*i = 3*o - l, 0 = -5*o + 6*o + 3*i - 10. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/14151 and 47\/9?\nAnswer: 42453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11847696, -23695389, -35543082, -47390775?\nAnswer: -59238468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 19 + 3 = 0. Let c be m\/(-7) - (-4 + (-90)\/(-21)). Is c bigger than 7\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.296 and 1?\nAnswer: -0.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 5\/((-20)\/(-48)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*k + 38 + 39, 5*k = 5*z + 360. Let n = z + 75. Is 15\/8 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*sqrt(99))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -292.4 and -0.1.\nAnswer: 29.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106800 divided by -100.\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13190, -13231, -13300, -13397?\n\"Answer: -14*z**2 + z - 13177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 - -291. Suppose 27 = 4*h - t. Find the common denominator of h and -79\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 149648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 16*t**2 - 6. Is f(2) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*w = 0, -16*k + 13 = -19*k + w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2662 * -18\nAnswer: 47916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 11:39 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 4 - 5*u + 5*u - u + 2*u + u + 2*u + 3*u - 3*u + (-2 + 3 + 3)*(2*u + 3*u - 2*u) to w*u + h and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 10:13 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -83041 divided by -3?\nAnswer: 83041\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13974*l**2 + 17673*l wrt l?\nAnswer: 27948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 2 + 6 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.3842929 to one dp.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**2 + 4675*j - 1090385. Let s(n) = 5*n**2 - 4674*n + 1090397. Let a(z) = -4*i(z) - 5*s(z). Factor a(m).\nAnswer: -5*(m - 467)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o = -363 + 543 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o - 19. Let g be y(-6). Let b = 3309\/11 + -301. Put 0.2, g, b in ascending order.\nAnswer: b, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuftjjfujpffu. What is prob of sequence ut?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a week?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -9086.905\nAnswer: -9101.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 0*g**4 + 0*g + 2*g**3 + 0*g**2 + 1\/60*g**5 - 1\/420*g**7 + 0*g**6 + 5. Let q(l) be the third derivative of v(l). Factor q(b).\nAnswer: -2*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 216.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from {s: 9, m: 11}?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-22*3\/(-12))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**4\/4 - 4*t**3\/3 - t**2 + 2*t - 5. Is y(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 1237338.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most as big as -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3881076 - -12071076. Suppose n = -6*j + j + g, -3*n = 2*j - 24570000. Round n to the nearest 100000.\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1106670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 783\/(-87)*1\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*m**2 + 116*m**2 + 29*m**2 - 85*m**2 - 3 to the form o*m + b*m**2 + j and give b.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241 (base 7) to base 8.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wddzdwvdv. What is prob of picking 1 w and 1 d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 + 44*y - 48*y + 81*y**2 + 12*y**2 - 3*y**3 as r*y**2 + p*y**3 + m + x*y and give r.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 37?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(75)*4 - sqrt(75) - (5 + sqrt(75) + 3) - (-3*(-2 + sqrt(75) + -3) + -4))**2.\nAnswer: -950*sqrt(3) + 2236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g - 20. Let m be (-6)\/g - 5796\/(-35). What is m rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjjjjbbbbb?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1225378776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 - 2*a**2 + 0*a + 13*a - 3 - 13*a in the form j*a**2 + i + y*a + l*a**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*r - 78, 3*n - 4 = 5*n. Suppose 9*d = 3*d + r. Which is the closest to -2? (a) 5 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 21. Let u = w - 5. Solve 0*k = u*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 614540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 321, 781, 1241, 1701?\nAnswer: 2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -15*d + 3600. Which is bigger: d or 301?\nAnswer: 301","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d - 5*d**2 + 20 - 14 - 8*d - 16.\nAnswer: -5*d**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -88*b - 5. Let j = -369 + 370. Let w be c(j). Which is bigger: w or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - 2238804?\nAnswer: -2238791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-1\/3)\/v))**7*(v*v*v*v**1)**(-17))**(9\/5))**(4\/5) assuming v is positive.\nAnswer: v**(-372\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -24. Calculate the highest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3095660 and -8.81.\nAnswer: -3095668.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coy when three letters picked without replacement from {y: 7, o: 2, c: 6}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:59 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -4. Suppose -3*l = -f*j + 2023, -5*l + 1648 = -j + 5*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - (-39 + -41 + 96)) + (11 - 1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*i - 36 = 0, 10 = -3*d - 4*i - 0*i. Let m(h) = 19*h - 46*h + 26*h. Let t(n) = -4*n + 2. What is d*m(r) + t(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4927 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28899585 and 7005960?\nAnswer: 231196680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -33. Calculate the remainder when 21 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*h**5*j + 2*h**3*j + 153*h + 6*j wrt h.\nAnswer: 1720*h**3*j + 12*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2. Let x(a) be the second derivative of -2*a**4\/3 - 2*a - 1. What is x(w(o))?\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.1, -4, -3, -1163, 3931, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 107\/(-3) + (-2557 - -2594).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)*o\/o**(1\/7))**43 assuming o is positive.\nAnswer: o**(172\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3)*g**(-5\/7)*g)**(-2\/37) assuming g is positive.\nAnswer: g**(-40\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4*j**3 + 3)*(-48*j - 150*j - 233*j) to the form g*j**2 + i*j**4 + n*j**3 + u*j + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -399*h**2 - h**3 - 2*h**3 + 408*h**2 to the form t*h**3 + l*h**2 + r*h + s and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 3 + -43 + 107?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -87, -120, -151?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*m - 92*m - 214*m to the form j*m + y and give j.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1.92. Let r = 70.92 + -69. Let x = d - r. What is the nearest to -1 in x, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2691 divided by 5\nAnswer: -2691\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 9. Let y(w) = -2*w - 39. What is -4*g(t) - y(t)?\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 10) to base 15.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 11:43 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3438 and 89162238?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -3. Which is the closest to j? (a) -4 (b) -3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128460186.\nAnswer: 2, 3, 139, 51343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26108097?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzvdvzvdvqzzvdvvqdvq. Give prob of sequence dvdz.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxnexxxnxxnxxxx. What is prob of sequence enn?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, -2, 0, 4 in ascending order.\nAnswer: -2, 0, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 737880, 737944, 738008, 738072, 738136, 738200?\n\"Answer: 64*t + 737816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 43. Let o(t) = 8*t - 3. Let g(d) = -23*d + 9. Determine f*o(w) + 6*g(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1000, 4 in increasing order.\nAnswer: -1000, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/11, 84\/29, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163 + 126. What is the units digit of -3 + f\/(-13) - (-7154)\/26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10058403.\nAnswer: 3, 137, 24473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3234)\/441 - (-4)\/6*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7231 or 96?\nAnswer: 7231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 420?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 7*o**2 - 9*o - 9. Let f be w(-6). Is (-8)\/(-12)*(f - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17094088?\nAnswer: 2, 11, 47, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 45*p**2 + p - 49. Let g be a(45). Let v(l) = -l. Let x be v(5). Suppose 0 = 3*f - 0*f + 3. Sort f, x, g.\nAnswer: x, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 3595046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 8)*(c**2 + 2 - 2) in the form g + j*c**2 + o*c and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than -99.3672?\nAnswer: -109.3672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or 15.23?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*k*r**2 + 49*k - 2*r**3 + 4*r**2 + 2 wrt r.\nAnswer: 10*k*r - 6*r**2 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18558 by -6.\nAnswer: 3093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - 85 - 1352\/(-24)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2 = -2*n + 2*a, 5*n - 4*a = 40 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/28 + 591\/44. Let y = 27\/2 - g. Which is the biggest value? (a) 2\/13 (b) -1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 5. Let w be 12\/(-30) + (-96)\/(-190). Is c < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = f - 8 - 7, 2*b = 4*f + 24. Suppose -b*o + o = -155. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**3 - v**3 + 2*v**3)*(-9 - 1 + 2)*(-v - 2 + 2) to the form d*v**3 + x + r*v + w*v**2 + g*v**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 121121013221 (base 4) to base 14\nAnswer: c53b97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 20 = -20. Let q(w) = w**2 + 8*w. Let r be q(j). Solve r*u - 6 = -2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6187108l in millilitres?\nAnswer: 618.7108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2007.61 + 2009. Let k = -7716.3782 + 7715. Let r = k + p. Round r to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203270653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 11:44 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -24134 + 6969. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*((-4)\/18 + (-1085)\/(-63)). Let j be (1 - u)*-6*(-12)\/9. What is the greatest common factor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**(1\/7)*w)\/w*w)*w**(-3))\/(w**1)**(-10) assuming w is positive.\nAnswer: w**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 6*f**2 + 6*f + 3. Let y be s(-5). Let j be y + (2 - (-3 - -3)). Let c be j\/((-3)\/((-9)\/(-3))). Solve 3*q - q = c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*w**4 + 40*w wrt w.\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2. Let r be ((-6)\/4 + 0)*-1. Let b(l) be the first derivative of -2 + 0*l + r*l**2. Determine b(x(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 1. Let p(g) = -2*g + 3*g - 4 - 3*g. Let i(z) = 4*p(z) - 11*t(z). Differentiate i(h) with respect to h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/(-6)*(-9)\/(-6)*-2. Suppose 5*d + 1 = k. Let h(m) = -21*m**3 + 10*m**2 + 11. Let u(w) = 2 + 2*w**2 + 4*w - 4*w**3 - 4*w. Give d*h(l) - 11*u(l).\nAnswer: 2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 w, and 1 z when four letters picked without replacement from {h: 2, m: 2, a: 1, z: 2, w: 4, r: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.015 - 17.485. Let j = r + 18. What is the fourth biggest value in 3\/7, 2, 5, j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {j: 8, b: 5, x: 4, d: 1}.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/20*5 - 1*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 12 = -6*m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1579818 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -567, -3\/7, 1, -27388 in ascending order.\nAnswer: -27388, -567, -3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 190, 299, 512, 865, 1394, 2135, 3124?\nAnswer: 4397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 3*t - 365. Let l(q) = q**2 + q - 11. What is 2*d(i) - 6*l(i)?\nAnswer: -2*i**2 - 664","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4 - 1 + 0 - q as w + l*q and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 12*s - 14*s. Let b(i) = -4*i - 112. Let k be b(-31). Calculate the greatest common factor of k and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyypyyyyyypyy. What is prob of sequence ypp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 23*w - 44. What is f(21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 13. Suppose 5*r + s - 40 = 0. Let x(j) = j + 2. Determine x(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17470, 34925, 52380?\n\"Answer: 17455*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(10) + 2*((sqrt(10)*2 - sqrt(10)) + sqrt(10)))\/(3*(sqrt(30)\/sqrt(6) + sqrt(5))) + 0.\nAnswer: -4 + 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 3, -51, 5 in increasing order.\nAnswer: -51, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpg when three letters picked without replacement from {f: 2, g: 5, p: 7}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34)\/(-14) - (-180)\/(-420). Let z = 0 + 5. Let q = z - -2. Solve -w = t - q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 12, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13191606 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 + 52067500*k - 52067502 = 0. What is k?\nAnswer: -26033751, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18567 - 11175. What are the prime factors of t?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15416, 61813, 139142, 247403, 386596?\nAnswer: 556721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-76)\/57*117\/(-2). Suppose 0*w = 2*w - a. Let j = 286 - w. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 + 65228307408?\nAnswer: 65228307309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 h when three letters picked without replacement from nnhmhnhnhmjnhojm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 106 = -6. Let y = n - -135. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1410533, -2820997, -4231391, -5641715, -7051969, -8462153, -9872267?\nAnswer: -11282311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18398457, 18398456, 18398455, 18398454, 18398453?\n\"Answer: -d + 18398458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 466*p + 84*p)*(-4 + 0 - 1) in the form h + y*p and give y.\nAnswer: -2750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1473, -5506, -11651, -19452, -28453, -38198?\n\"Answer: 76*z**3 - 1512*z**2 - 29*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1.02. Let w = u - -0.38. Put 2\/7, w, 4 in decreasing order.\nAnswer: 4, w, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2 - 45660*m + 5076288 = 0. Calculate m.\nAnswer: 112, 15108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.097\nAnswer: 0.0388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*u = 20, 3*c = -u - 3 + 16. Suppose -5*b + c*d + 266 = 0, -3*d + 9 = -0*d. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaaacacaaa.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3897, -15582, -35017, -62178, -97041, -139582, -189777, -247602?\nAnswer: -313033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**4\/8 - 5*v**3\/6 + 2*v**2 - 2*v - 2. Factor p(q).\nAnswer: (q - 2)**2*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 2\/45*n**3 + 6\/5*n - 2\/3*n**2 + 56. Factor c(d).\nAnswer: 2*(d - 9)*(d - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2493\/416 - -29\/416. What is the common denominator of n and -77\/758?\nAnswer: 6064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 243, -2\/3, 5, 228\/37?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8729173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11827224828+0.02\nAnswer: 11827224828.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2183962.1329 rounded to the nearest 100?\nAnswer: 2184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/55*(-5)\/4)\/(-3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmzzjmymzy. Give prob of picking 1 j, 1 z, and 1 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20188 or 20148?\nAnswer: 20148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/17)*i)\/(i*i**(-7)\/i)*i**7*i\/(i*(i**10\/i)\/i) assuming i is positive.\nAnswer: i**(117\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 4 = 3*g - 18*k, 3*k - 6 = -3*g. Solve -3*p + 3 = 0, g*q - 2*p = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132717 to the power of 1\/2, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 666*r - 2 - 12 + 3 to the form d*r + b and give d.\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**4 + f**3 + 10*f**2 - f + 5. Let j(h) = h**3 - 3*h - 3*h - 2*h**4 + 5*h + h**4 + 9*h**2 + 4. Let d(z) = 6*g(z) - 7*j(z). What is l in d(l) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-1\/5)*v)\/v*v)\/v)\/v)\/(v*v\/(v\/(v*v*v**(-27)))*v) assuming v is positive.\nAnswer: v**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 240 - 241. Which is the closest to 0.1? (a) m (b) -0.1 (c) -0.11 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(sqrt(2) - (-2*sqrt(2))**2*5).\nAnswer: -117 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1\/3000097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1008 = 5*l, 0 = 10*l - 8*l + 3*f - 420. What is the remainder when l is divided by 157?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.8 + -24. Let p = -0.8 + v. Which is the third smallest value? (a) p (b) 5 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*u**2 + 1 - u**2 + 8*u**3.\nAnswer: 8*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1277058 divided by -5.\nAnswer: 1277058\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r - 39. Let k(f) = -4. Let h(j) = 2*j - 15. Let b(o) = 5*h(o) - 4*k(o). Determine 5*b(d) - 7*z(d).\nAnswer: d - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*a**6 + 53896*a**5 + 41*a**2 - 126*a + 33 wrt a?\nAnswer: -2160*a**3 + 3233760*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(153) - sqrt(153) - sqrt(153))*-5 - 6*(sqrt(153) + 2*sqrt(153) + sqrt(153) - sqrt(153)))\/((-1*sqrt(1296) + sqrt(1296) - sqrt(1296))*3).\nAnswer: -sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 539\/241, 3\/7, 1\/4 in descending order.\nAnswer: 539\/241, 3\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*(-19)\/(-342)*6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 135 - 133. Let m = -1 + s. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 268, 252, 230?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, e: 2, p: 4}. What is prob of sequence ej?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - -4 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.145 in -3\/11, -8.38, 1, 0?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 49 = -34 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -15. Let n = f + 6.03. Let x = n + -2.03. Which is the closest to 1? (a) -2\/3 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 90\/15 + (5 - -1).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 197 + 169 = 0. Solve 2*q = z + 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158126270?\nAnswer: 2, 5, 29, 269, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkkkkkkkkmkk. What is prob of sequence kkmm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 1ce8f4?\nAnswer: -1ce8f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*n = 2*g - 20, g + 3*n = 16. Let f be (-56 + 1)*(g + -5). Calculate the highest common divisor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*u = -47, -4*u - 23 - 3 = -2*r. Let m(l) = l**3 - 14*l**2 - 15*l + 9. Let x be m(r). Solve 2*t = 1 - x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + 2*i**2 - 5*i - 3. Let p be x(4). Let d = p + 236. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 29.803kg?\nAnswer: 29803000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.58 - -5.09. Let p = u + 2.3. What is p rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603480 rounded to the nearest 10000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a54e32 + -6?\nAnswer: -1a54e38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + f**2 + 2*f - 1. Give b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/169 + -11\/10140. Let x(b) be the third derivative of 0*b - b**3 - k*b**5 + 1\/24*b**4 + 0 - b**2. Determine x(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1575 = 32*d - 41*d. Is d a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493*q + 492*q = -6815. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15140129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27210386 by 555314.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + p**2 - p - 1. Give s(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007625 take away 0.1?\nAnswer: -0.092375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one quarters of a tonne in kilograms?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shsr when four letters picked without replacement from hshsrssssrrs.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7 + 4)\/3)\/((-114)\/19 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 530 divide 21300700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.1726974 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*c + 20, -q - 3 = -4*c + 23. Let f(r) = -r**3 + 6*r**2 + 1. Give f(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1535023199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*b - 18*b + 30*b)*(-8*b + 14*b + 0*b**2 - 3*b**2).\nAnswer: -72*b**3 + 144*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - h - 52. Let o = 3 + h. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from yxvcxqwq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16.89+-0.02\nAnswer: -16.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3528, -3336, -3006, -2544, -1956?\nAnswer: -1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = -f + 13, 2*p + 3*f = 19. What is the first derivative of -8 - 1 + 2 - 3*z**p wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226445 (base 10) in base 11?\nAnswer: -14514a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -299216 + 6?\nAnswer: -299210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-434)\/(-77) + 11)*2. What is the smallest value in 3, -1\/6, g?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/6 and -43\/7069612.\nAnswer: 21208836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 238*g + 3. Let w(u) = 121*u + 2. Give -3*k(q) + 5*w(q).\nAnswer: -109*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 72008 = -y, -3*p + 216060 = 3*y - 6*p. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5 + (-1*(-1*sqrt(208) + sqrt(208)) - sqrt(208))))**2 + -5.\nAnswer: -40*sqrt(13) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -104 + 289. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2 (c) 23.7 (d) -14\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1248*g**2 + 168*g + 23. What is the units digit of z(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86425?\nAnswer: 5, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwrwwwrwwwwrww?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 10*u - 23. Let y be s(5). Calculate the remainder when (980\/40)\/(y\/4) - -5 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/3 - 7514\/(-51).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 50. Give y(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - 3*b**3 + 0*b**3 + (3 + 2*b - 3)*(0 + 0 - 3*b**2) - 5*b**3 + 2*b**3 + 4*b**3 + (4*b - b + 0*b)*(0*b**2 - 4*b**2 + 2*b**2).\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 64710.918155 + 0.2\nAnswer: 64711.118155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (2 + sqrt(539) + 3)) + 5)*2 + -5 + (-3*(sqrt(704) + -4 + -2 + sqrt(704)))**2.\nAnswer: -1728*sqrt(11) + 25663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.443219 to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 111?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2. Let d(c) = -13*c**2. Determine d(a(n)).\nAnswer: -117*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -187 + 433. Suppose 3*g - u = -24. Calculate the remainder when g is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28056 and 5040.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 207644, 1661116, 5606258, 13288904, 25954888, 44850044, 71220206, 106311208?\n\"Answer: 207639*x**3 + x**2 - 4*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dof when three letters picked without replacement from {v: 1, f: 1, d: 1, p: 2, o: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*t + 2 = 22, -4*a = -t - 20. Solve -8 + 3 = -a*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19741077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, x: 1, h: 3, w: 1, c: 7}. Give prob of picking 1 c and 2 h.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o + 4*o + 11 + o + o. Let f(n) = -n**2 - 6*n - 3. Let r be f(-4). Suppose -r*i + 20 = 2*j - 3*i, 0 = -5*i + 25. Calculate z(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -55430.31?\nAnswer: -55430.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1624085 to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b**3 - 3*b**2 - 3. Let o(c) be the first derivative of -11*c**4\/4 - 5*c**3\/3 - 5*c - 313. Suppose l - 4 - 1 = 0. Give l*j(t) - 3*o(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42706609 is divided by 1095041?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-11) + -15 + 7 + 11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h + 2*a + 2 = 0, 0 = 2*h + a. Suppose -t + h = -g + 5, 0 = g + 2*t - 15. Solve g = 4*m + 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 1\/6 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*j + 673104, -27*k + 22*k + j + 841383 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -2*y + 1\/6*y**4 + 0 - 2*y**2 - 1\/6*y**3 - 141\/20*y**5. Let c be h(4). Round c to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/44947 - 10562577\/719152. Let y = -1999\/80 - a. What is the common denominator of y and 71\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/2320 and 109\/5510.\nAnswer: 44080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 15*l - 0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 19. Let v be x(-10). Suppose -4*t - v + 1 = 0. List the prime factors of 21 + t\/4*8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**3 + 5*b. Let r(q) = q**2 + 8*q + 9. Let t be r(-7). Let p(j) = 3*j**3 - 2*j. Determine t*i(a) + 5*p(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*t = 30 - 230, -47 = d - t. Suppose -n + 4 = 3*n. Which is bigger: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/21004 and -1\/118.\nAnswer: 21004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v - 2. Let r(y) = -y**3 - 10*y**2 - y - 6. Let o be r(-10). Suppose c - 3*c - o = 0. List the prime factors of k(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 9. Let b be j(8). Suppose -2*w + 135 = -5*w + 3*q, 0 = 3*w - 5*q + 135. Let z = b - w. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/15)*(y\/(y*y*y**6*y))\/y*y\/(y\/y**(-8))*y*y**(-7\/5)*y*y**(-7)\/(y\/(y*y*y**4)*y)*(y*(y**(-2\/7)*y)\/y)\/(y**2*y) assuming y is positive.\nAnswer: y**(-2291\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnannnnannnnn. What is prob of sequence nan?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3\/245, 1, 3\/2?\nAnswer: 3\/245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -41, -37, -33, -29, -25?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002190041 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3449969 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2345 + 2360. Calculate the highest common divisor of 33 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 13*d - 18*d. Put 4, -2, d, 2 in increasing order.\nAnswer: d, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*((d**(-3\/11)*d)\/d)\/d)\/d)\/d)\/d**(-2\/3) assuming d is positive.\nAnswer: d**(-20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/2 - (-242165)\/4165?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 101091\/65 and 1555 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1811 + -1811.0919. Let l = 10.91 + -11. Let j = w - l. Round j to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(40)\/sqrt(10))\/sqrt(2) + sqrt(72) + -4)**2 + 0.\nAnswer: -64*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i = 44*i - 65 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11838.\nAnswer: 2, 3, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127063 is divided by 18145?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, m: 4}. What is prob of picking 1 f and 1 m?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 41.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-238)\/(-578)*17*-2*2\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 + 2*s**2 + 4*s - 7. Let j(i) = 4*i**2 + 7*i**2 - 5*i**2 - 2*i**3 + 4 - 2*i - 7*i**2. Calculate -4*f(k) - 7*j(k).\nAnswer: 2*k**3 - k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 123325.\nAnswer: 986600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.2616.\nAnswer: -1.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, n: 5, a: 3, f: 6, h: 2}. Give prob of sequence fa.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**2*i**3 - 31*d**2*i - 106*d**2 - 60*d*i**3 + 2*d - 412*i**3 - 2*i wrt i.\nAnswer: -18*d**2*i - 360*d*i - 2472*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 + 14*c**3 - 8*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -10000110?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) + (-63)\/(-2). Let l = o + -32. Suppose b + 0 - 8 = l. Solve -4*t = -b*t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from {c: 4, x: 10, o: 1, p: 2, i: 2}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 3*y + 31 - 14, 0*q + 3*y - 12 = -6*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007764 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 393 + 1983. What are the prime factors of g?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24210115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41 + -1b03?\nAnswer: -1aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294690 and 654555?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 64312, 128626, 192936, 257242, 321544?\n\"Answer: -2*k**2 + 64320*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -8, 0.08, -11?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19752.4 + -19752.39869131. What is q rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 3:11 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - (-88)\/(-20))*-280?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/4402 and 53\/1562?\nAnswer: 48422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11260758 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64007 is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -829\/5 + 166. Factor -2\/5*r + 1\/5 + h*r**2.\nAnswer: (r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 6*z**2 - z + 5. Let m be u(6). Let y = m + 16. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 541057 - 541067 = c, 2*h = -3*c + 54 + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*w - 1 = -85. Let m(p) = p**3 - p - 4. Determine m(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 19*o**3\/3 + 5833. Let s(w) = -293*w**2. Determine g(s(j)).\nAnswer: 1631131*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110100001100011000 (base 2) to base 15.\nAnswer: -19e075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 120*c - 149*c + 0 to j + u*c and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - 46*m**3 + 22*m**3 + (2*m**2 - 2*m**2 - m**2)*(6535 - 6535 + 229*m).\nAnswer: -250*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -15. Let d(n) = 6*n**2 + 3*n + 9. Let g(a) = 6*a**2 + 4*a + 10. Let l(v) = p*d(v) - 4*g(v). Is l(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -27. Suppose 2*b = w*v + 92 + 420, -3*v = 4*b - 1024. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*p**2 - 96*p**2 - 74*p - 98*p**2 + 77*p.\nAnswer: 2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -37016327511 less than 3?\nAnswer: 37016327514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 4. Calculate u(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 561213273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 17, p: 3}. What is prob of picking 2 n and 2 p?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 49\/4*a**4 + 9*a + 133\/4*a**3 - 30*a**2.\nAnswer: -a*(a - 1)*(7*a - 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 579462169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 173. Let y = 220 + p. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -11626?\nAnswer: 3\/11626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = -21*j + 10*j. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -3*a**5\/10 + 29*a - 1. Let o(y) = -y**3 + y. What is -5*o(b) + r(b)?\nAnswer: -b**3 - 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2162688*o**3 - 47721984*o**2 - 227705073*o + 404730045 = 0.\nAnswer: -2999\/256, 15\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*m + 6*m + 7*m)*(-2 + 2*m + 4 - 1).\nAnswer: 6*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*r = 4, 3*r = -2*g + 5*r + 16. Suppose 0 = -q + g*v + 7, -3*q = 2*v + 3*v - 4. Suppose -210 = -q*u + 378. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 40 - 15, 3*k + 37 = w. Let s = 20 + 30. Suppose 0 = -w*g + 17*g - s. Round g to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2 - 9*n - 9. Suppose 0 = 3*t + 23 + 4. Let s(i) = -i**2 - 2*i - 2. Give t*s(k) + 2*m(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 7:26 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -287, 10 in descending order.\nAnswer: 10, 3, -3, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 45*q + 2175. Calculate x(-48).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(9\/5)*h**(10\/7)*h*h**(1\/15)\/(h**(1\/2)*h) assuming h is positive.\nAnswer: h**(587\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12039 times -0.13?\nAnswer: -0.0156507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27542 by 47.\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0484 and 0.0538761.\nAnswer: -0.00260760324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 334, 15, 5, 1.04?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -17 - -9 - -23 - -58.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + x - 2418797 = 0, -3*b + 5*b - 2*x + 1209394 = 0. What is b rounded to the nearest 10000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Let t(n) = 22*n - 50. Let d be t(3). Suppose -4*g + 8*g + 5*l - d = 0, -3*g + 12 = 2*l. Solve o = 2*k - 5*k + 3*w - 3, 24 = -g*k - w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4028375632?\nAnswer: 2, 599, 420323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*(sqrt(162) + sqrt(162) + (-1*sqrt(162) - sqrt(162))*1) + -3*2*sqrt(162) + -1 + (sqrt(162) - sqrt(162)*1) + 0)**2.\nAnswer: -11666 - 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 3*m + 3. Let r = -26 + 29. Suppose -5*g - 9 + 6 = 3*o, -r*o - 2*g + 6 = 0. Calculate the smallest common multiple of q(-2) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0deb (base 15) to base 6.\nAnswer: -20000405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4410491\/6 + -268467185\/366. Let r = l - 1565. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6*(-3060)\/(-40). Let h = z + -48. Suppose -7365 = -h*c + 2349. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 - 30*y**2 + 2*y + 32. Let q be l(-15). Suppose 3*t - q*i - 350 = 2*i, 5*t - 4*i = 578. What are the prime factors of t?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/7, 5, -1.2, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -921, -1821, -2697, -3543, -4353, -5121, -5841?\n\"Answer: x**3 + 6*x**2 - 925*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 26*c**3 + 44*c**2 - 385*c - 31. Let g(n) = -5*n**3 - 8*n**2 + 77*n + 6. Calculate 2*f(m) + 11*g(m).\nAnswer: -3*m**3 + 77*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3 = -3*j, p - 5*p - 4 = 5*j. Let s be ((-319)\/(-15) - j) + (-7)\/(-35). Let a = s - 4382\/165. Find the common denominator of -55\/7 and a.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5964 and 3395788?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 587194.8 litres to millilitres.\nAnswer: 587194800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 8) in base 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**7\/56 + u**6\/8 + 3*u**5\/8 + 5*u**4\/8 + 5*u**3\/8 + 3*u**2\/8 - 9*u. Factor a(x).\nAnswer: 3*(x + 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-6 - -9) + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*54 - 1. Let m = j - 44. Let h = 30 + m. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-196)\/(-147)*108\/2. Suppose k + t = 4*k. Calculate the highest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121100 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:21 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 15. Let l = -0.35 - -0.29. Let q = 0.06 + l. Sort -4, q, j in ascending order.\nAnswer: -4, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5381 (b) 2\/9 (c) -1\/6 (d) 2\/11 (e) -0.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -2, 5, -30 in decreasing order.\nAnswer: 5, 4, 3, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 6511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 2*m - 3*m)*(-2 + 2 - m) + 70006*m + 5297*m**2 - 941*m**2 - 70006*m.\nAnswer: 4357*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 2. Let y be d(6). Put -14, -5, y, 1 in increasing order.\nAnswer: -14, -5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j - 3*j. Let o = 6 - j. Suppose -4*q + 4*y + 4 = 0, 0 = 2*q - q - 4*y + 8. Calculate the greatest common divisor of o and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -91266, -91266, -91264, -91260, -91254, -91246, -91236?\n\"Answer: s**2 - 3*s - 91264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6480 and 11376.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3149 - 3129. Solve t*v + 66 = 26 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**6\/40 + w**5\/15 + 2*w**3\/3 - 1131*w**2. Let m(j) = -6*j**3 - 9*j**2 - 9. What is 9*l(r) + 4*m(r)?\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3426 = -5*m + 1019. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000023873897 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -22242441?\nAnswer: 22242440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 - -91. Solve -18 = -4*z + g*q, 0*q - 2 = -5*z - 4*q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(13) + 3 - ((sqrt(13) - 1*sqrt(13)) + -5).\nAnswer: sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914808003 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.09 + -0.09. Let i = -51 - -203\/4. Let n be 6\/(-42) - 34\/(-42). Which is the closest to -1? (a) n (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1 + 9*w + 0 - 6. Let i(f) = -5*f + 3. Suppose -4 = -4*h, 0 = k + 2*h - 4*h + 1. Let b = -4 - k. Calculate b*i(q) - 3*v(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -284*b**2 - 197*b - 4. Let o be y(-3). Are -1965 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 936288966 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 at least as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 - 120. Is (6 + (-168)\/p)\/(2\/(-213)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 450 and (-4)\/34 + (-7830)\/(-85) + -2.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176221276.999881 + 176221202. Let t = -75 - o. Round t to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/30)\/(2034\/(-13560))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6202971?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 95 (base 12) to base 15\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in 13, 3, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v = 0. Let o(b) = 9*b - 13. Let z be o(2). Solve 0 = -v*u + z*u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 301994*n**4 - 62570 wrt n?\nAnswer: 1207976*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23270?\nAnswer: 2, 5, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11463366059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 + 92. Let s = -17.9 + 18. Which is the nearest to s? (a) -1 (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6047 - 6042. Let q be (3 - 1) + -5 + 2. Let g(i) = -4*i**2 - 2*i - 1. Let v be g(q). Which is the smallest value? (a) x (b) v (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2066*q - 4129*q + 2*q**4 + 2058*q + 6*q**2 in the form l*q**4 + h*q + w*q**3 + u + f*q**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**4 + 1438*n**3 + 16*n**2 - n - 404227?\nAnswer: -4*n**3 + 4314*n**2 + 32*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 31668?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 4*r - 5. Let j be v(5). Suppose -f + 0 = -2*m + 6, j = -4*m + f + 10. Suppose m*o - 2 = -0*o. Let u(b) = 2*b + 1. Determine u(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(11) - (sqrt(11) - sqrt(44))))**2 + -2 + sqrt(99))*-4.\nAnswer: -696 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 636, 582, 526, 468, 408?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 73*w - 222*w - 210*w.\nAnswer: -497*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/5*-9*55\/(-198)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 - 93.0000022. Round r to 7 dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221.34 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 4 + -5 + 18. Let x = t - 106\/7. Which is the nearest to x? (a) -0.2 (b) 6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2597022 and -1.6215164.\nAnswer: -2597023.6215164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -2*l + 15, -4*x = 2*l + 272 - 280 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, l: 2, j: 1}. Give prob of picking 2 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 983271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 2*q - z, -2*q + 14*z - 96 = 15*z. Which is the fourth biggest value? (a) q (b) -1\/2 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-30) + (-97)\/(-5). Let k(i) = p + 34*i - 79*i + 59*i. Let w(l) = -l - 3. Let r(z) = z + 5. Let c(u) = 4*r(u) + 9*w(u). What is 17*c(y) + 6*k(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24473172 divided by -4\nAnswer: -6118293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10006180 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 + 18 = -30*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66515584.\nAnswer: 2, 31, 16763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 17*x**4\/3 - x**3\/3 - 24*x**2 + 3*x - 41. What is the first derivative of m(n) wrt n?\nAnswer: 136*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60252 * -0.2.\nAnswer: -12050.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -268*k + 264*k + p + 7, 2*p - 6 = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 - (-44 + 52 + -2 + -11)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 8, 0.026, 5?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/24*48\/(-36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssszsrsjszjrrzrsss. Give prob of sequence srzs.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 76348, 152851, 229502, 306301, 383248, 460343, 537586?\n\"Answer: 74*k**2 + 76281*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-8) - (-16)\/32 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*h**2 + 8*h**2 + 4*h**2 + 7*h**2 + 17 in the form q + y*h + f*h**2 and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8303, -1, -47, -3, 3, -4 in descending order.\nAnswer: 4, 3, -1, -3, -4, -47, -8303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5824)\/(-288) - (-1 - -20))*(3 - 0)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3999463051?\nAnswer: 29, 53, 179, 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 + 305*b\/6 - 539.\nAnswer: -(b - 294)*(b - 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 + 10*p**2 - 10*p - 4. Let u(t) = -t**3 + 9*t**2 - 9*t - 4. Let o(n) = -6*u(n) + 5*y(n). Determine q, given that o(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -116 from -3.74.\nAnswer: 112.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3612, 14619, 33004, 58773, 91932, 132487, 180444?\nAnswer: 235809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16861463*y**2 + 17575752 with respect to y.\nAnswer: -33722926*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.82 - -18880802896.\nAnswer: 18880802894.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -92*k**5 + 113*k**5 - 259*k**5 + (0 - 2*k + 0)*(-k**4 + 0*k**4 + 0*k**4).\nAnswer: -236*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*-415.\nAnswer: -18260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267 = -172*i + 77 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -705, -1, 5, -0.3 in descending order.\nAnswer: 5, -0.3, -1, -705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 6*i**2 - 3*i - 3. Let n be f(5). Let g = n + 81. 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: What is 498558938 to the power of 1\/4, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 3*c - 105. Let h = c + -10. What is the second derivative of -h*v + 13*v**3 + 13*v**3 - 16*v wrt v?\nAnswer: 156*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 at least 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 8 + 17. Let w(y) = 7*y**2 - 6 + 1870*y**3 - 3785*y**3 + 1914*y**3 - 3*y. What is w(b)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11446740 (base 8) to base 6.\nAnswer: -125445440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*b**5 + 3*b**5 + 61*b**2 + 10*b - 64*b**2 wrt b?\nAnswer: 960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7859 - -5091. Which is smaller: -2769 or o?\nAnswer: -2769","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -3)\/(2\/(-62)). Let j = w + 17. Is ((-12)\/j)\/(3\/63) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2844, -5776, -8798, -11910?\nAnswer: -15112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + -1*sqrt(26)*-1)\/(sqrt(2) + 6*sqrt(2)*2).\nAnswer: 2*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*o - 7*o - 3 - 19*o)*(-3 + 0 + 4)*(-2*o**3 - o + o) as n*o**4 + y + x*o + u*o**2 + f*o**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjjkjjjjjjkjjjjjjjk. Give prob of picking 2 j and 2 k.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/3*(-375)\/100\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -52. Suppose 2*p - 2*j - 2 = -3*j, -3*j - 21 = -3*p. Suppose p*l + o*l = 0. Is l equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 l when four letters picked without replacement from {y: 7, t: 1, l: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -80777.2 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -761*n + 1693. Let z(r) = 21*r. Let x(i) = j(i) - 5*z(i). Find the first derivative of x(v) wrt v.\nAnswer: -866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97\/558 + 2\/279. Let x = -17 - -50\/3. Let s = m + x. Is 4 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -7.465.\nAnswer: 0.37325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463484 is divided by 1723.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1765 = p, 2617 - 409 = 5*s - p. Solve 434 - s = 9*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 1, o: 2, r: 1, i: 1, j: 1}. What is prob of picking 2 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 76987015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1265*v**3 - 5*v**2 - 154*v.\nAnswer: -7590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*b*d**2*j**2 - 5*b*d + 9*b*j**2 - 2*j**2 + 7*j wrt d.\nAnswer: 10*b*d*j**2 - 5*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 924*s**3 - 36 + 102 + 249*s**3 - 25.\nAnswer: -675*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 387 - 291 + 40.\nAnswer: 2*v - 638","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + d**4 - 12*d + 0*d**3 + 7*d + 3*d - 4 as c + h*d**3 + q*d + l*d**4 + n*d**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 1\/3, -2 in decreasing order.\nAnswer: 1\/3, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**2 + 0 - 2*f**2 + 0.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171919403 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 232.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1405226794.7361 and -1?\nAnswer: 1405226793.7361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*l - 736 + 711, -l + 13*k + 23 - 2 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dff. Give prob of picking 1 f and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 5, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 >= 571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 3. Let d(u) = -46 + 21 + 26. Let i(t) = -3*d(t) + m(t). Let y(f) = 14*f. Calculate y(i(h)).\nAnswer: 42*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*b - 1026 = 120*b. What is the remainder when 344 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -475 (base 16) to base 12.\nAnswer: -7b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 347334 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/21 - (3 - 3). Let z = -37\/105 + x. Let w = -0.242 + 0.042. Which is the nearest to z? (a) w (b) 2 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -462561111 + -2?\nAnswer: -462561113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f + 2. Let u(l) = -l**2 + 5*l + 2. Let h be u(4). Let w be k(h). Solve 3*i - 8*i = -5*n - w, 4*i = n + 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6711 rounded to two decimal places?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83741, -167481, -251229, -334991, -418773?\nAnswer: -502581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 857*v. Let t(o) be the second derivative of o**4\/6 + 1657*o. Determine c(t(z)).\nAnswer: 1714*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**6\/120 - 7*m**5\/60 + m**4\/24 - 2*m**3\/3 - 9*m**2. Let o be k(7). Suppose -o*x - 3 = -24. Solve x*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*y - 64, 2*n - 11 = -y + 19. Suppose 7*a - n*a = -441. What is the highest common divisor of a and 441?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26152054 is divided by 1245335?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2. Let d(m) = 2*m**2 - 5. Give d(k(v)).\nAnswer: 18*v**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3620 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**3 + 4*w**2 - 5*w. Let n(x) = x**3 - x**2 + x. Let p(h) = -i(h) - 5*n(h). Let d(z) = -3*z**3 + 5*z**2 + 1. Determine d(l) - 5*p(l).\nAnswer: 2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25468804.\nAnswer: 2, 773, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, d: 5}. What is prob of sequence ccd?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 10335 + 57440 = 0. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2361702 divided by 3878\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/((sqrt(175) + sqrt(7))*-2))\/((sqrt(18)\/(sqrt(12)\/sqrt(2)) - sqrt(3)) + -1*sqrt(432)).\nAnswer: sqrt(5)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158188*r = -158386*r + 396. Suppose -j = 0, 0*c + 5*j + 12 = 4*c. Solve r*y + c = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8485898 and 604.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 182 divided by -3\nAnswer: -182\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 2*x**2 + 8*x**2)*(433*x + 4*x**2 - 433*x).\nAnswer: 20*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 - 210291*y + 210291*y.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 545.878 + -5.4.\nAnswer: 540.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 5*j**2 + 9*j + 13. Let q be k(-4). Suppose -8 = o - 1. Is q less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 1da8?\nAnswer: 1da0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 445 by -278449.\nAnswer: -445\/278449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u, 5*a - 596*u + 306*u = -294*u - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u + 44. Suppose 0 = -5*g - l + 238, -93 = -3*g - 2*l + 47. Let y = g + u. Calculate the highest common divisor of 208 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*f = 84. Calculate the highest common factor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.8 - 2. Let k = -0.3 + -0.2. Let d = g + k. What is the biggest value in -2\/9, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*v + 66, -4*v = -2*s - 5*v - 47. Calculate the common denominator of (-15)\/(-5) - (s\/20 - -2) and -51\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 q, and 1 p when four letters picked without replacement from {q: 7, f: 4, p: 4}.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 473*n**2 - n. Let o be i(-2). Let m = 2662 - o. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 3787306?\nAnswer: 3787312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1147*82.\nAnswer: -94054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 11 - 16)*((4 - 8 - 6)*(-a - 3*a - 4*a)*(-1 + 2 - 2) + 2 + a - 2).\nAnswer: 1738*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 0*n**2 - 1417 + 7090 + 5*n**3 - 5673.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 5*o**3\/6 - 8*o. Let c(y) = -2*y**2. Give c(b(x)).\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - h + 2. Let d be a(-2). Suppose -108 = 2*w - d*w. Calculate the smallest common multiple of 46\/8 - (-9)\/36 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 85, 94, 103?\n\"Answer: 9*g + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1101807\/5 - 220361. Factor 2\/5 - 2\/5*z**3 - i*z**2 + 2\/5*z.\nAnswer: -2*(z - 1)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 491 = -3*w - 3*d, w = -3*d + 268. Suppose 6*l - w + 37 = 0. Suppose -64*u = -58*u - l. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/13153 and -79\/33516.\nAnswer: 62976564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160871 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 2*r + 11. Let h be s(-3). Let c be 3 - (10 + (h - -1)). Let b be ((-1)\/2)\/(3\/30). Sort b, 2, c in descending order.\nAnswer: 2, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -51. Let s = p - -27. Solve 0 = s*b - 9*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3036.9983794 + -3037. Round x to 5 dps.\nAnswer: -0.00162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -2*c + 14, -29*c - 2217959 = u - 2217985 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 200.8 and 249.34.\nAnswer: 50067.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 16*q**5\/5 - 157219*q**4\/5 - 57017*q**3 + 143483*q**2 + 285069*q\/5 - 560196\/5 = 0.\nAnswer: -3, -1, 1, 19\/16, 9828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -4*v + 56*v - 452400. What is the remainder when v is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i - 557 + 277 = 720 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-187)\/88)*(-1)\/(-3)*6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2055*i**3 + 3*i - 1963*i**3 + 4075*i**3.\nAnswer: 57*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7))\/(800\/(-1400)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**4\/3 - 2*t**3\/3 - 8*t**2. Let n be w(-2). Suppose m = s - m - n, 2*s - 2*m = 16. Solve -v + s = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.107 and 0.04?\nAnswer: 0.00428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-138)\/(-4)*52\/(-390).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*l - 10*l - 48, 5*s - 4*l = 156. What is the remainder when 529 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1180581 and -526.\nAnswer: 1180055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 14. Let d(n) = -n**2 - 2*n - 218. Let f be d(0). What is the remainder when l\/12 + f\/(-4) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117287040 a multiple of 3552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 4*o - 25, -4*j - 3*o + 109 - 61 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -11*r**2 - 5*r + 2. Give b(9).\nAnswer: -934","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 40*f - 25 + 12 - 26.\nAnswer: -40*f - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.25 - -0.2.\nAnswer: -19.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 4*d = -20. Suppose 0 = -3*f - 4*i - d + 1, 5*f - 2*i + 31 = 0. Is 9 a factor of f\/((20\/(-12))\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Find the third derivative of 5*f**2 + 2*f**2 + 3*f**5 - 3*f**o - f**5 wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 31737440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 12*b**2 - 9*b - 20. Suppose 0*a = 7*a - 77. Let w be y(a). Sort -1, -4, w.\nAnswer: -4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -105652 and -33630.\nAnswer: -139282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-384)*(-6)\/(-4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 5*x - 76, 1559*x = 2*j + 1562*x + 38 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*49.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 6:20 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-2))\/(((-260)\/(-91))\/(32\/28)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**12\/(r\/(r\/r**(2\/5))) assuming r is positive.\nAnswer: r**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 164\/(-126) + (-3924)\/(-8829).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/6543420 and -29\/14?\nAnswer: 45803940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 1209*x + 1208*x = -38, 22*r - 237 = x for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2564 and 48.\nAnswer: 30768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -0.06, -1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/5)\/(1086\/1810).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322671 (base 8) in base 15?\nAnswer: 749da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9.8 or -0.04803?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29982 or -29981?\nAnswer: -29981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 73109.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.641776167 - 357568\nAnswer: -357566.358223833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**3 - 692*u**2 - 20284*u + 312180 = 0 for u.\nAnswer: -129, -55, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g - 20 = -2*r, 0 = -2*r - 4*g + 22. Let m(v) = 3*v**2 + 7. Suppose -255 = 6*n - 285. Let b(k) = -2*k**2 - 5. Give n*m(l) + r*b(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 14) to base 15.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1402.906 millilitres?\nAnswer: 1.402906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/(-54))\/((-42)\/308)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*q**3 - 230*q**2 - 10*q - 6530975 with respect to q.\nAnswer: 51*q**2 - 460*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 17*n**3 - 13*n**2 - 9*n - 13. Let b(d) = 4*d**3 - 3*d**2 - 2*d - 3. Give 26*b(w) - 6*s(w).\nAnswer: 2*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -45*u - 21. Let o(a) = 9*a + 4. Let q(y) = 4*i(y) + 21*o(y). Let w be q(-1). Calculate the least common multiple of 14 and 5*3 - (w + 6).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**4\/12 + 47*c. Let n(x) = 54*x**2 - 47*x**2 + 28*x**2. What is n(t(j))?\nAnswer: 35*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 10.\nAnswer: 1, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y. Let w be n(-1). Suppose 5*v - 1335 = -10*j + 5*j, 1064 = 4*j + w*v. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z**2 - 2*z - 781. Let i(h) = 49*h**2 - 9*h - 3124. Determine 2*i(d) - 9*s(d).\nAnswer: -d**2 + 781","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5255 + -243?\nAnswer: 5012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-2))\/(3\/6). Suppose -2*v + 3*v = -8. Let y be (-2)\/v + 12\/16. Solve x + y + b = 0, 0 = 2*h + 4*x + 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2\/57 (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*p**2 + 0*p**2 + 2*p**5 + 124*p**6 + 0*p**5 - 3 - 96*p**6 wrt p.\nAnswer: 3360*p**3 + 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -512*j + 32759. What is h(64)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.17 + -0.1. Let i = r + 9.93. Is i at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 36 (b) 3\/7 (c) 204 (d) -3 (e) 3 (f) -1\/8 (g) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 232*o - 1303. What is the remainder when j(6) is divided by 72?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9760\/85888*(-11)\/(-155).\nAnswer: 1\/124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1020)\/(-18))\/(-5)*11\/(110\/15)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77*-8233.\nAnswer: 633941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 - 95.8. What is the second biggest value in -25, l, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-14))\/(276\/(-322)))\/(-1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 10*b - 43. Let o be l(8). What is the first derivative of -o + 26*m**3 - 2*m - 18 - 25*m**3 wrt m?\nAnswer: 3*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 6\/7, -5, -0.2, -0.1, -1591?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 5. Let j be d\/12 + 3\/2. Find the third derivative of 13*b**2 - 10*b**6 + 11*b**6 - 4*b**j wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 889266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 - 57 + 9*z**2 + 42*z + 59 + z**2 to the form m*z**2 + h*z + u and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 38 = -2*n + 6*n, 3*n = 5*a - 75. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 4*s**2 - 5*s**4)*(1 - 3 + 0 + (3 + 1 - 5)*(-4 + 0 + 2) - 5 - 1 + 0) + 4*s - 4*s - s**4 + (-4*s**2 - 3*s**3 + 4*s**2)*(s - s - 2*s).\nAnswer: 35*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 25 = a - 3*g, -5*a + 21 = -3*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.67 + -1.33. What is the biggest value in -1, 0.03, -0.04, y?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 58*h + 71. Calculate w(10).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9630224 is divided by 3634.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1635, -3234, -4823, -6396, -7947, -9470?\n\"Answer: c**3 - c**2 - 1603*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.26706 grams to tonnes.\nAnswer: 0.00000226706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - -2) + -2)\/(-11 - -14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**3\/9 + 5*q**2\/2 - 34*q\/3 + 153. Factor j(o).\nAnswer: (o - 2)*(o + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 11*c**4\/8 - 17*c**3\/6 + c**2 + 133*c. Does 5 divide f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -3*n**2\/2 - 17*n - 94. Let i be l(-7). Solve p = -4*p + 2*g + 20, 5*g + 16 = i*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25999*d**3*u**2 + 5*d**3*u + d**2*u**2 - 35*d**2 + 2*d*u**2 - 3*d*u - 19*u wrt u?\nAnswer: 51998*d**3 + 2*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34324 - 18.005?\nAnswer: 34305.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(918\/(-85))\/9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 1\/18*t**6 + 0*t**3 + 1\/24*t**5 + 0*t**4 + 29*t + 0 + 5\/252*t**7 + 0*t**2. Suppose q(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424\/126389 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9461*y - 1960 = -19005*y + 9495*y for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0407 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 775*j**2*r**3 - 301481*j**2*r**2 + 4*j**2*r - 2*j*r**2 + 3*j*r + 8077*r**6 wrt r.\nAnswer: 4650*j**2 + 969240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 7 + y**3 + 13 + 1. Calculate the remainder when (82\/(-6))\/(2\/(-6)) is divided by i(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v + 0*v + 4*v. Let f(m) be the first derivative of 28*m**2 - 10. Let z(x) = 8*x. Let h(n) = -6*f(n) + 40*z(n). Determine h(y(s)).\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*f - 730. Suppose 3*x - 243 = -4*n, 5*x - 44 = -n + 38. Let h(t) = f*t**2 - 51*t**2 - 72*t**2 - n*t**2. Let a(j) = -j. Give h(a(w)).\nAnswer: -34*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 13 = 3. Suppose -c = 10*b - 14*b. Let p(k) = 2*k**3 - 2*k**2 - 4*k + 4. What is the units digit of p(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -60*7\/56*-4 + (-6)\/(-2). Suppose 0 = -4*w + 3*q + 20, w + 4*q + 5 = -9. Suppose 0 = i + w*i - m. What is the remainder when i is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 5*(-2*sqrt(200) - sqrt(200)) + sqrt(200) + sqrt(200))\/sqrt(5))\/(1*-3*sqrt(800) - sqrt(800) - sqrt(800)).\nAnswer: 6*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 10:35 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 102003320321?\nAnswer: -102003321000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**4 - 12*p**3 - 584*p**2 + 5040*p = 0?\nAnswer: -18, 0, 10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2293 times -37997\nAnswer: -87127121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3618566*w**2 - 2*w**3 + 6*w**3 - 3618517*w**2.\nAnswer: 4*w**3 + 49*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -3 (c) 0.125 (d) -4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013778446 to four decimal places.\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89722 (base 10) to base 15.\nAnswer: -1b8b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - (-6 + 8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1943 - 1750. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -45049433649.\nAnswer: -45049433650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(45) + 1 + (sqrt(1620) + 1 - sqrt(45)).\nAnswer: -2 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 = -4. Suppose 0 = -3*c - h*j + 12, -c - 3*j = -2*c. Suppose 0 = -n + c*q + 19, -15 - 50 = -4*n + q. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13814444478 - 272\nAnswer: -13814444750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-7\/4))\/(h\/(h\/(h**(-2\/39)\/h))))**(-49))**26 assuming h is positive.\nAnswer: h**(-2303\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50\/125 - 13\/(-5) - -229. Let h = k - -125. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*c - 39, -2*c - c = -y - 47. Suppose 2*v = c + 13. What is the least common multiple of (8\/(-10))\/(v\/(-455)) and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 18*r + 33. Let f be (-468)\/(-81) + (-2)\/(-9). Let k = f + -5. What is the lowest common multiple of k and m(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40696161 to the power of 1\/3, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144 + -159.2. Let d = -16 - q. Let f = 33 + -30. Which is the second smallest value? (a) f (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-16 - (-27 + 17))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42010 and 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1450211786 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62821 - -10586. Let p = -464023\/9 - r. Let d = p - 675. Find the common denominator of d and 22\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 24011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*v**3 - 15*v**3 + 6*v**3)*(63 - 31 - 32 + 783*v) to t*v + m*v**4 + p*v**3 + w*v**2 + n and give m.\nAnswer: -24273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -420.16154 + -0.03846. Let y = 457 + x. Let r = 32 - y. Round r to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9554900 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + k - 2. What is c(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -133*x + 6. Let b(m) = 1062*m - 51. Give 6*b(p) + 51*q(p).\nAnswer: -411*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 4:02 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-2)*(-36)\/(-45). Suppose 0 = 3*w - 0*w. Sort w, h, 3 in ascending order.\nAnswer: w, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 6:19 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5897, 6292, 6687?\n\"Answer: 395*w + 5502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*m = 193 + 62, -4*m = -12. Let d = -152 + a. Calculate the highest common divisor of 28 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -3*t, -1 = -4*w - t - 0. Suppose -v - v + 4 = w. Suppose -2*n - v*q = -10, -q - 2 = -2*n + 2. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1193, 1204, 1223, 1250, 1285, 1328, 1379?\n\"Answer: 4*u**2 - u + 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 - 51*i + 120. Let k(q) = 5*q**2 + 77*q - 180. Let f(z) = -8*j(z) - 5*k(z). Factor f(c).\nAnswer: -(c - 20)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 - -0.64. Let z = -2.5 + o. Put z, 3\/2, -2\/13 in increasing order.\nAnswer: z, -2\/13, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 11081800*w - 7675393202500.\nAnswer: -4*(w + 1385225)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 - -146. What is the remainder when d is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + l + 3832 = 0, 7*r - 3820 = 2*r + 5*l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 + 13*f**2 + 9*f**2 - 7*f**2 in the form s*f + h*f**2 + i and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 20939*a + 83738. Give z(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 3*m + 4. Let t be j(-3). Let k = 41 + -19. Let a(w) = -5 + 1 + 0*w - 23*w**2 + k*w**2 + 3*w. Determine a(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3471 - 1070. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 7, m: 3, u: 4, z: 2}. Give prob of picking 2 z and 1 n.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 - f**3 - 2 + 4 - 3 - 2. Give b(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*c**5 - 2*c**4 - 6364*c**3 + 1760282*c**2 wrt c.\nAnswer: -3720*c**2 - 48*c - 38184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*x**2 + 61*x**2 + 2*x**3 + 21*x + 63*x**2 - 2 as s + g*x**3 + j*x + p*x**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391748?\nAnswer: 2, 7, 17, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*(h\/(h*h*h\/((h\/h**(-1\/7))\/h*h)))\/h)\/h*(h**(1\/14)*h)\/h)\/(h\/(h*h*h**(1\/3))*h**(-1)))**13 assuming h is positive.\nAnswer: h**(845\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 357395 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1 (c) -1\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75934.11 hours to nanoseconds.\nAnswer: 273362796000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2952.05 and 5.\nAnswer: 2957.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 0 + 1\/6*o**3 + 70*o - o**2. Let l(v) = 3*v. What is x(l(f))?\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 176*t + 3115. Let o be b(-35). Calculate the greatest common factor of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -735\/23 + 10723\/414. Let l(w) = 12*w - 3. Let r be l(7). Calculate the common denominator of (6\/16)\/3*r and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x = 6*x - 5*z + 149, 6*x - 62 = 5*x - 5*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33323113 to the power of 1\/3, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 204221?\nAnswer: 204221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {m: 2, u: 4, k: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3369 or 3597?\nAnswer: 3597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 30714\nAnswer: 1\/30714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12881996 is divided by 381.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2 + 3*f + 2. Let o be i(5). Is 2 - ((0 - 0) + o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271576?\nAnswer: 2, 53, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52799413 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(6\/4))\/1. Suppose -10 = -4*g + j*g. Let v(w) = -3*w - 3. Let h be v(-2). Put h, 1, g in decreasing order.\nAnswer: g, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3 + 16*o**3 - o**4 - 14*o**3 + 3*o**2 - o - 2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 - 6*h**2 - 11*h - 6. Let k(w) be the second derivative of w**4\/12 + w**2\/2 - 2*w + 112. Give -g(a) - 6*k(a).\nAnswer: -2*a**3 + 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 833221.9 millilitres in litres?\nAnswer: 833.2219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.02, 6, 65, 0.4, 1\/7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - -3. Let r = -40.18 + d. Let n = 1.533 + r. What is n rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -623\/4698 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (15 - 12)) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-7)*a*a)\/(a**(-6)*a)*(a*a**(1\/3))**(2\/35))**(-2\/41))**(-34) assuming a is positive.\nAnswer: a**(544\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 389.8144 decades to centuries.\nAnswer: 38.98144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1424, -1395, -1370, -1349?\nAnswer: -1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -12. Suppose 38 = 2*q + 2*o + o, 0 = 2*o + r. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1150, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.04999821 - 2.05. What is q rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbjz when four letters picked without replacement from {b: 4, j: 3, z: 13}.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4)*(-100)\/15. Let s be ((-20)\/y)\/((-2)\/(-4)). Let i(k) = -k**2 - 3*k - 3. Give i(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144880 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60209661503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkbgkbgkbggbb. Give prob of sequence bgk.\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 4*b**2 + 5*b + 6. Let j be n(-5). Suppose j*u = 4 + 14. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*n + 15777 - 17358 = 0. Calculate the remainder when 3927 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-16) + 5\/4. Let m be ((-6)\/(-8))\/(4\/(-96)). Let q = m - -26. What is the highest common factor of y and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38529738*i**3 + 201429494*i**2 wrt i.\nAnswer: -231178428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2035 to the nearest 10.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 911495 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8901 and 90.\nAnswer: 89010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/19, -2\/7, -3\/4, -2\/87, 8, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 167385818 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 819629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2856 - -705. What is z rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -3145?\nAnswer: 3150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 105 = -8*g. Suppose 2*a + 21 = 97. What is the remainder when a is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13234 + 13559. Calculate the lowest common multiple of q and 104.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/5 - 12*q**2\/5 + 3*q - 6\/5.\nAnswer: 3*(q - 2)*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 14060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -2)*2163\/(-518). Let v = d - 10583\/1480. Find the common denominator of 81\/28 and v.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 543*q**6 + 346*q**2?\nAnswer: 65160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d. Let n be t(-4). Suppose 1 = -3*b + n. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -500775 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -78. Let m(l) = -5*l + b*l + 0*l + 1 - l. Let r(q) = -9*q - 2. Calculate 5*m(c) + 2*r(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.61 - 0.6. Let w = 0.19 + v. Which is the closest to 0.1? (a) -5 (b) -2\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*p - 185 + 194, -4*a - p = -15. Suppose 79 = 4*k + 15. What is the remainder when k is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 16*n + 4*d = 13, d = -3*n + 17. Solve o = -h - 14 + 16, 2*o + 3 = n*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.051 in 0.3, 3\/7, -53, 2, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p. Let w(b) = -4*b**2 - 21*b. Calculate w(k(z)).\nAnswer: -100*z**2 + 105*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*a + 4. Let x = 23 + -25. What is the tens digit of x\/5 - ((-162)\/a + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 3*m + 2. Let h be p(3). Let d = 0.34 - 0.04. Which is the third smallest value? (a) d (b) -2\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57210 divided by 4.\nAnswer: -28605\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18760 and 12985.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**2 + 301885*c - 57842440 = 0.\nAnswer: -60568, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**5 - 509660*o**4 - 6115236*o**3 + 13759468*o**2 - 7134568*o = 0 for o.\nAnswer: -127403, -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -0.03, -2\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68 - 77) + 3\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 11\/5, 3, 1.45 in ascending order.\nAnswer: -2\/5, 1.45, 11\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*o + 13 = 0, -154*k + 2*o - 15 = -163*k + 17 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 7*f = 0. Suppose z - 4 + 2 = f. Let a(h) = 1. Let l(q) = q - 1. Let m(d) = -a(d) - 3*l(d). Give m(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 56) + 89 + 69 + -140.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*x + 414*x + 1442*x.\nAnswer: 2382*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 2*p**2 + p. Let c(f) = -3*f**3 + 7*f**2 + 8*f + 7. Let g(i) = -c(i) + 4*d(i). What is g(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1161)\/(-21)*-9 - 8\/(-14). Let m = y + 503. Calculate the greatest common divisor of 18 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21969737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 10:36 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-2)*269\/269?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/2 - 67*w**3\/2 - 137*w**2\/2 - 69*w\/2.\nAnswer: w*(w - 69)*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/2129 + 138379\/6387. Suppose 4*l - 3*l = 0. Find the common denominator of (-121)\/(-6) + (l - -2) and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2723 - 1339 - 655*f - 1404 to z*f + j and give z.\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1603 and 1589.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 993\/28 - 243\/7. Let o = 2 + -2. What is the nearest to o in -0.2, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 1, -1\/58, 5?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 r, and 1 l when four letters picked without replacement from {s: 1, k: 1, g: 1, l: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1233 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34671144 is divided by 34671140.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 69*h**2 - 11*h - 15. Let s(p) = -p**3 + 3*p**2 + 8*p + 8. Let o be s(5). What are the prime factors of t(o)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = r - s + 14, -56 = 4*r - 5*s. What is the common denominator of 8 + r + 53\/(-4) and -101\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 188 + 50. Which is greater: 239 or t?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 6*s**2 + 6*s + 4. Let n be g(7). Let p = -2 - 4. Let w = n - p. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 153536000 = u, 61663634 = -2*t - 4*u - 15104366. Round t to the nearest one hundred thousand.\nAnswer: -38400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - d - 1. Let n be q(1). Let l be (-1 - 4\/n) + -1. Solve 4*p + 18 = l*u, 2*p = -2*p - 3*u + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12246.\nAnswer: 2, 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -14. Solve 0 = -3*x + u*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a century in decades?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwywynyzbgwn. Give prob of picking 1 z and 1 b.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -22, 0.1, -4\/5, 47?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 273014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -21. Let h = z - -100. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1223, 820, 417, 14, -389, -792?\n\"Answer: -403*k + 1626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489751941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*k + 21 + 23, -4*s = 3*k - 45. Let n = -8 + k. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 63. Suppose n*k - 32 = -k. Suppose k*j - 23 - 25 = 0. Solve 0 = -v - 2*b + 6*b - 4, -3*v + 3*b - j = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38944?\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 0*y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 18065484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 5:58 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -0.049215986876\nAnswer: 0.050784013124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 + 4*u**2 + u - 11. Is i(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3325 or -1?\nAnswer: -2\/3325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 7, -4, -61?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 249922157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20976 + -13291. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*d - 1253 - 990 = -643 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-10)*(-1)\/((-6)\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 1 + 1)*(-722*c + 722*c - 6*c**2 + (3*c + c - 3*c)*(-c - 2*c + 2*c))*(-25*c**2 - 83*c**2 + 20*c**2).\nAnswer: -616*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 110*y**2 + 1343*y + 17. Give f(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/360 - u**5\/12 - u**4\/8 - 5*u**3\/3 - 32*u**2. Let h(b) be the first derivative of t(b). Calculate h(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1938 = -0*s - 5*s, 0 = -2*l + s + 1305. Calculate the lowest common multiple of l and 465.\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 78, 147, 212, 273?\n\"Answer: -2*k**2 + 75*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y - 6 - 1 - 6*y. Suppose -4*l - 24 = -4. Let a be i(l). Solve 5 = 3*d - a*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2541588 is divided by 1270756.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzififvfffzzfz. What is prob of picking 2 z and 2 f?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6605 - 6595. Solve -2*v - 4*r - w - 4 = 0, -3*r - 9 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 5*a**2 - 2*a**2. Let m(q) be the second derivative of q**6\/180 - q**3\/2 + 10*q. Let u(b) be the second derivative of m(b). What is t(u(h))?\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98590 and 98590?\nAnswer: 98590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-96)\/144)\/(48346\/(-193368) - (-1)\/4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 2*z**2 + z - 2. Let t be f(2). Suppose -8*w + 6*w + 6480 = t. Let u be 1\/(1 - 3244\/w). Round u to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n + 26*n - 24*n + 9*n - 9*n + 10*n.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6290, -23374, -51260, -89948, -139438, -199730?\nAnswer: -270824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/9))\/(i**(-4)*i)*(i*i\/(i*i\/i**(-2\/7)*i))\/i**(-1) assuming i is positive.\nAnswer: i**(248\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 + -58. Suppose -3*x - 2*p + 30 = -5*p, -4*x = -5*p - l. Calculate the remainder when 28 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, 4, -3, -55 in ascending order.\nAnswer: -55, -3, -0.23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000255 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 68090\nAnswer: 68077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*h**3 + 48*h**3 + 16*h**2 - 23*h**3 + 77*h**2 + h as l*h + x*h**3 + g*h**2 + c and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1186*u - 74 = -590*u - 602*u + 28 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 31. Let v(i) = i + 63. Let w(d) = -5*a(d) + 2*v(d). Let k be w(12). Let g(c) = 0*c**2 + 6 + 4*c + c**2 + 0*c. Determine g(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159649.51 - 159650.4323507. Let z = 0.97434971 + f. Let j = -0.052 + z. Round j to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -18. Let a = -25 - n. Solve a = 6*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 2154?\nAnswer: 2155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(5) - sqrt(5)*2) + sqrt(35)\/(sqrt(7)*-1) - (1 + sqrt(500) - sqrt(500) - ((sqrt(15) + -2*sqrt(15))\/sqrt(3) + sqrt(5))).\nAnswer: -2*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31589239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4 + 0)\/(4\/24). Let d be 1 - (-1)\/2*-2. Let q(k) = d*k + 1 + k - 3*k**2 + k**2. Let z(s) = 2*s**2. Determine p*z(v) - 2*q(v).\nAnswer: -2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.1 + -4.9. Let k = 0.2 - i. Which is greater: k or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6041 and 1869?\nAnswer: 1612947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-18\/5)*q)\/q)**(-30) assuming q is positive.\nAnswer: q**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4340293 and 8680586.\nAnswer: 8680586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-531)\/15045)\/(18\/15))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d - 18. Let r(l) = 3*l + 12. Let v(u) = 5*g(u) + 8*r(u). Let j(a) = -16*a - 25. Let h(c) = 2*j(c) + 9*v(c). Differentiate h(p) wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 21 = 2*g + 18 - 62, 4*g = 9*a + 41 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 403*o**4\/24 - 7*o**3\/6 + o**2. Let z be s(-5). Let v = 2837 + z. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -6 (b) 0.3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19655 is divided by 610?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1243*i**5 + i**2 - 3747*i?\nAnswer: 74580*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/3 (b) 27 (c) 0.3 (d) 0.87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-13989)\/(-6930) + -2 - 28\/196 and -18\/7?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -19 + (0 - 1) + -4 + 13?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/40)\/((-2)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - 63 + 63 - 3*f**2 + 6*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1065921 by -1065921.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*s - 1. Let q(m) = 3*m - 71. Let g be q(26). Suppose -3*y = -5*c - g, 4*y + c - 2*c - 15 = 0. Solve 0 = -s*o + 7*o + y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*n + 127*n = 64*n + 420 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.85454 to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 478421 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, 0.2, 0, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -179.846 + -0.654. Let i = v + 180. Let k = -324\/1937 - -2\/149. Put 0.2, k, i in increasing order.\nAnswer: i, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -174 - 14\/5*n**3 - 1\/10*n**4 + n - 147\/5*n**2. Factor v(j).\nAnswer: -6*(j + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21759, -43518, -65277, -87036, -108795?\n\"Answer: -21759*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 24 = 4*z. Solve k = -3*k - 5*d + 16, 2*k - z = 2*d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.8 times -0.072?\nAnswer: 4.5216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2.19. Let m = j - -3.21. Let w = -0.6 - m. Put w, -3, 4 in descending order.\nAnswer: 4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 - 6*n**3 + 3*n**3 - 1 + 11*n**2 + 2*n**4 - 8*n**2 to the form q*n**2 + t*n**3 + a*n**4 + u*n + k and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*h - 8, 3*h - 4*s + 65 = 70. Solve h*u = -0*u - 42 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159638671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 2*q + 5 + 2*q. Let o be (2\/(-4))\/(3\/(-66) + 0). Suppose 3*h - 4 - o = 0. Give a(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -142, -193, -244?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a**2*x**3 + 2*a**2*x**2 + a*x**2 - 56*a*x + 42*x**3 wrt x.\nAnswer: 36*a**2 + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13 - 19)*(-3 + 1). Let a be (40\/(-12))\/((-10)\/n). Solve -2*w + a*f + 7 = -3*w, 0 = -4*w - 3*f + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1136*o - 4285 + 3053 = 34073 + 16951 for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 14. Let c = 59 - 47. What is a(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 7. Let f be w(-2). Suppose -4*a = 2*x - 16, 4*x + f = a + 2*a. What is the smallest value in -2, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -3.118339?\nAnswer: -6.118339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57858137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -130, -143, -166, -199?\n\"Answer: -5*z**2 + 2*z - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4*a = 16 - 24, -5*a = -10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 r, and 1 p when three letters picked without replacement from {d: 1, p: 1, n: 1, r: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 2*n + 0*n)*(-2 + 2 + 5) - 38*n - 7*n + 208*n in the form g + s*n and give s.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0970735262 rounded to 3 dps?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*m + 0 + 0)*(18195 - 18195 - 110*m).\nAnswer: -220*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39987 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 22660*u - 22664.\nAnswer: 4*(u - 5666)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1001.8 - 985. Round v to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*z + 91*z - 5 = s, 5*z = 16*s + 134 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 + 355 - 97)*(-5 + 14 - 5)*(0 + 2*n + 0)*(n - 2*n - 2*n**2 + 4*n).\nAnswer: -4704*n**3 + 7056*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -174, -260, -368, -504, -674?\nAnswer: -884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2) + (27\/6 - -2). Suppose 0 = -0*s + 2*s + 4*d + 2, -n*s + 5*d - 5 = 0. Let m = 731\/7 + -104. What is the nearest to 1 in s, -2\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/12 + (-8)\/(-32). Let v be ((-4)\/(-2))\/((-1)\/(-1)). Which is the second smallest value? (a) v (b) u (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5\/5 + 336*m**4\/5 - 42*m**3 - 42292*m**2\/5 + 27831*m + 36180 = 0. What is m?\nAnswer: -12, -1, 5, 9, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51960 divided by 17320?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 9:55 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -65262 + 65248 - ((-104)\/(-30))\/((-2)\/5)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2 + 15*l - 16. Let q be u(9). Let m = q - -420. What is the remainder when m is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 3*p + 11. Let b be n(-4). Let f = 50.5 - 50.9. Put f, 2\/9, b in increasing order.\nAnswer: f, 2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*a**3*f**2 - 12*a**3*j - 10*a**2 - 6*a*f**2 - 3*a*f*j wrt a?\nAnswer: -72*f**2 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -797 - 1597?\nAnswer: -2283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 253704*j - 90062532.\nAnswer: -4*(j - 63069)*(j - 357)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 27*y**2 + 4*y - 45. Let o(q) = -5*q**2 - q + 9. Let z(h) = -11*o(h) - 2*s(h). Give z(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**2 - 9*c - 5*c**2 - c**2 + (2*c**2 + 2*c**2 - 7*c**2)*(-1 - 4 + 1).\nAnswer: 13*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -c - 164, -2*c = -5*g + 3*g - 104. Let f = g + 155. What are the prime factors of f?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17022 - 17022 - 135938*k.\nAnswer: -135938*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6710248662?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20133.7629 and -121382.\nAnswer: -101248.2371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -114200 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1552aab (base 12) to base 14.\nAnswer: 80d2dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677 a factor of 2539348617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x = 23 - 5 + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 3*b - 2*b)*(-b + 2*b - 3*b) - b**2 - 4*b**2 + 0*b**2 + (-5*b**2 - b**2 + 4*b**2)*(1 + 63 + 38).\nAnswer: -205*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155622614 by -22231802.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/73972?\nAnswer: -3\/73972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9098530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z. Suppose -46 = -4*o + 2*n - 12, -3*n - 15 = -2*o. Let j be 4\/6 - (-12)\/o. Let d(g) = -j + 2 - 25*g + 29*g. Determine f(d(y)).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113275229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0133667 take away 0.1?\nAnswer: -0.0866333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1450*o**5 + 2401*o**2 + 16 - 829*o**5 - 5332*o**5 - 17 - 3016*o**5 wrt o.\nAnswer: -637620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*d - 4*b + 12, 3*d - 3*b + 7*b + 5 + 8 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u - 39. Let p(v) = -6*v - 48. Let a(y) = -5*g(y) + 4*p(y). Suppose -3*q - 1 + 7 = 0. Let n be a(q). Sort 0, n, 5 in descending order.\nAnswer: 5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5393100 by -2.\nAnswer: -2696550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 5*j - 9. Let i be u(7). Let c(l) be the first derivative of -5\/2*l**4 - 10*l**i + 32\/3*l**3 - 1 + 0*l - 4*l**2. Determine a so that c(a) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 16*d - 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**3 - s**2 + 143*s + 288. Let v be i(-2). Which is smaller: 110 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 42 = -2*i - 0*i, 5*h + 13 = -3*i. Let a be i\/4 - -2 - -1. Let p be (-4)\/(-14) - (-4)\/84. Which is smaller: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 + 345*n**2 - 243*n - 12100. Calculate g(-173).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*(sqrt(2448) - (4 + sqrt(2448))) + 4 + 1 + sqrt(2448) + sqrt(2448) + 1*2*sqrt(2448))**2.\nAnswer: 2496*sqrt(17) + 39844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 11:01 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/240 and -23\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -165, -161, -131, -63, 55, 235, 489, 829?\n\"Answer: 2*r**3 + r**2 - 13*r - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, v: 1, g: 3}. What is prob of picking 1 v and 1 g?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 27 = 9. Let i(s) = 26*s + 33. Let d(j) = 30*j + 33. Let h(k) = -5*d(k) + 6*i(k). Let f be h(o). What is the highest common factor of f and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 21 = 3*l - 92*z + 91*z, 0 = 3*l - z - 21 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -320*q**2 + 3*q**3 + 316*q**2 - 2*q - q**3 to a*q**2 + o*q + j + g*q**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 45962, -2, 1.7, -3, -12 in ascending order.\nAnswer: -12, -3, -2, 1.7, 45962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 19, 1, -2, 0, 20.\nAnswer: -2, -1, 0, 1, 19, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.24 * -104.\nAnswer: 128.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 250*n + 124. Let d(f) = 50*f + 25. Determine -14*d(a) + 3*r(a).\nAnswer: 50*a + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 9*n - 1. Let q(j) = 3*j**2 + 16*j + 2. Give -7*b(h) - 3*q(h).\nAnswer: -2*h**2 + 15*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from lunpncupncln?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 2*p = 3*h + 10, -1 = -4*h + 3*p. Solve 0 = -4*j + h*u - 4 - 20, -4*j - 21 = -u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/856 and -91\/12.\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 2*l - 27 + 7 + 75*l**2 wrt l?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.25 (b) 0.5 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -0.09\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/94 and -41\/872?\nAnswer: 40984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 = 2*f, 5*f - 5*j + 13 - 3 = 0. Let b be (-8)\/3 + 1 + f. Let l = 0.12 + -0.22. Is b greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146 - (-507 - -339) - ((78 - 0) + 0).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 12*d + 6*d)*(-4*d + 2 - d + 4*d) as c + i*d**2 + m*d and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 0*z**2 - 2*z**2. Let s(v) = -8*v. Give s(x(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8603*a - 21706 = -3991*a + 356114 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.49 - 0.21. Let q = 1 + d. Sort 0.1, -3, q in ascending order.\nAnswer: -3, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 443, 442, 441, 440?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-446)\/5)\/((-21736)\/(-4940)) + 6\/22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(363) - ((2 + sqrt(363) - sqrt(363)) + 5)) - sqrt(15)\/sqrt(180)*6*1.\nAnswer: -3 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1156800 to the nearest ten thousand.\nAnswer: -1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -10)\/(3\/((-45)\/310)). Let n = f - -451\/806. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000043715 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (-1*sqrt(300) + -2)**2) + (6*(sqrt(300) + sqrt(300) + -1*sqrt(300)))**2 - (sqrt(3)*3 + 1 + -5 + -2).\nAnswer: -33*sqrt(3) + 10502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3214 is divided by 1070.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 2. Let o(g) = g + 1. Let m(v) = -b(v) + o(v). Let k(f) = 4*f - 1. Calculate -4*k(s) + 6*m(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -489?\nAnswer: -1\/489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*w - 3 = 160*w + 4*t - 8 + 13, 14*w - 5*t + 26 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*o + 12, -3*o - 3*d + 2*d + 4 = 0. Suppose -2*k - k + 144 = o. Suppose -p - p = -k. Calculate the highest common divisor of p and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1064223 - -1524223. Round m to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1.1. Let j = 1604 + -1603. What is the nearest to -0.2 in -2\/11, u, j?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*r - 5*c, 5*r - c = 3*r - 4. Which is greater: r or 2\/1393?\nAnswer: 2\/1393","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + p**2 + p + 4. Let i be (1 - -3)\/1 + -1. Let f = -3 + i. Let x be m(f). Which is the nearest to -0.1? (a) -0.1 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9477, 21556, 36245, 53550, 73477?\n\"Answer: l**3 + 1299*l**2 + 8175*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffyffcdfcdcfd. Give prob of sequence dy.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -721 - -759. Solve -q*l - 14 = 2*h - 33*l, 6 = -3*l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 1. Let x be d(3). Suppose x - 5 = -3*b. Let z be (-2)\/b*(-22)\/2. Calculate the greatest common factor of z and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3777 - 0.4677. Put 21, y, -0.4, -0.5 in descending order.\nAnswer: 21, y, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3 + 63*a**2 + 360*a + 300 = 0. What is a?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.67897 to two decimal places.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6107 + 1326*f + 6081 - 1325*f.\nAnswer: f - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1855*i**2 + i - 518525 wrt i?\nAnswer: -3710*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.89 + -0.11. Let y = l - -4.01. Let j = 0.01002 - y. What is j rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*w**2 - 466*w**2 + 9*w**2.\nAnswer: -113*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 13.6?\nAnswer: 4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = -4 + 12, 24*n - 3*i = -7*i + 404 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -5a525?\nAnswer: 5a527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 - 72. Let w(p) = -2*p**3 - 6*p**2 + p. Let v(g) = 3*g**3 + 11*g**2 - 2*g. Determine m*v(h) + 7*w(h).\nAnswer: -2*h**3 + 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/22 + 35\/11. Let w(h) = -h**2 + h - 2. What is w(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*s - 41*n + 46*n, -s + 1 = n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/23 + 162*g**4\/23 - 3788*g**3\/23 + 28812*g**2\/23 - 46898*g\/23 + 21714\/23 = 0. What is g?\nAnswer: 1, 11, 21, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 - a**3 + a**3 + 2*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -183, -358, -509, -624, -691?\n\"Answer: 2*r**3 - 189*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 12 = -3*v, h = 2*v - 3*v + 4. Suppose -2*y - 8*p + 28 = -3*p, 3*p - 6 = h. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 74 + 16*u - 74.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 5. Is (r - 5*-29) + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/2268 and -73\/108.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 8. Let v(j) = c - 4 - j**2 - 9*j - 2. What is the tens digit of v(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20655, 20246, 19565, 18612?\nAnswer: 17387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 14*v**2 + 14*v + 3. Let y = -2893 + 2906. Calculate u(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p + 5 + 3 + 0. Let m(c) = -26*c + 23. Let x(q) = 12*q. Let d(k) = -m(k) - x(k). Give -6*d(h) - 17*i(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 59 = -14. Let t = c - -113. Calculate the highest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 - 43*x\/3 + 124.\nAnswer: (x - 31)*(x - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100010011011 + 1000111?\nAnswer: 1110100011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) - -1*sqrt(960))\/(sqrt(12)\/sqrt(3)*6))\/(5*((sqrt(27)\/sqrt(3))\/sqrt(3) + -1*sqrt(108) + sqrt(108))).\nAnswer: 4*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 3 + w)*(w - 71*w**3 + 3 + 369150*w**2 - 369146*w**2 - 5) to the form q*w + d + r*w**2 + a*w**4 + c*w**3 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -325*f**2. Let h(z) = 2*z. Give h(i(j)).\nAnswer: -650*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -2. Let y = 6.3 - k. Let m(q) = q**2 - 3*q - 4. Let u be m(4). Put 3\/7, y, u in increasing order.\nAnswer: u, y, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/63 and -77\/5826?\nAnswer: 122346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 688 and 6118384?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4 + 22*t**3 - 688*t**2 + 1280*t = 0. Calculate t.\nAnswer: -40, 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 30 = 7*m. Let y be m\/10 + (-57)\/(-45). Which is the third smallest value? (a) -0.4 (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.066 + 0.032. Let j = -4.39 + -0.61. What is the second smallest value in g, j, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + 9*q + 9. Let f(p) = p**2 - 1 - 87*p + 46*p + 37*p - 3. Let w = 10 + -6. Let y(n) = w*i(n) + 9*f(n). Let s(b) = -b. Calculate y(s(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)\/sqrt(512) - sqrt(16)) + sqrt(16))\/(sqrt(3888)\/sqrt(6)).\nAnswer: sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9293 in -2, -2\/3, -142?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -3*u - 13, -x + 0*x + 2*u - 3 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 1:38 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 8 = -4*f - 2*r, 6 = 3*f + 4*r. Let a(k) = 4*k - 9. Let s be a(3). Let l = f + s. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 3407200*n + 1451126480000.\nAnswer: 2*(n - 851800)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 8:38 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 5*f + 9*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 410709 and 0.1?\nAnswer: 41070.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -415834087630 and -13.9.\nAnswer: -415834087643.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - 21*k + 18. Let o(p) = -p**2 - 11*p + 9. Let r(a) = 5*o(a) - 3*y(a). Let x be r(-9). Factor 0 + x*h - 1\/3*h**4 - 4\/3*h**2 - 4\/3*h**3.\nAnswer: -h**2*(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -a + 85, 8310 = t + 2*a. What is the thousands digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 10 = -5*h + 7*j, -4*j - 3 = -3*h. Sort -4, h, 0.1 in descending order.\nAnswer: h, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 693\/135 - 2\/15. Let m(g) = 49*g + 6. Is m(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**6\/3 - 3*n**2 - 8. Find the second derivative of h(x) wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00107991586 to six dps.\nAnswer: -0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/1*-1)\/((-1029)\/(-98))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 219384121 and -5.\nAnswer: 219384116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18828634 a multiple of 1669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 42*h**2 - 5760*h - 280800.\nAnswer: (h - 78)*(h + 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5}. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 105 = -1221. List the prime factors of h.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 10 = -14. Let v = a - -114. Let g = v + -72. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 2, 6014 in decreasing order.\nAnswer: 6014, 56, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -128.2, 13, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((20\/40)\/(-1))\/((10\/(-570268))\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -4, -15, -28, -43?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142841027 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 0*(-2)\/4. Let x(j) = 3*j**3 + 3*j**2 - 10*j - 17. Let u be x(-3). Let z = r - u. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7481*s - 27031*s - 12386*s - 4498*s.\nAnswer: -36434*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3488 and 1417.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/43, 19, 0.04, -2 in descending order.\nAnswer: 19, 4\/43, 0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 20*k - 11. Give b(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -46531254 >= -46531256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 1. Let o = 63 - 8. Suppose 2*h + q*h = o. What is the remainder when h is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 0*m**4 - 4*m**4)*(m - m - 2*m) + 0*m**5 + 7*m**5 - 2*m**5.\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 4*g**2 + g - 4. Suppose 35*f + 24 = 29*f. Give l(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**6\/120 - 2*y**5\/15 - 5*y**4\/12 - y**3\/6 - 45*y**2. List the prime factors of u(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 39 = -12*z - 12*z, 4*z - 285*s + 5 = -7*z - 283*s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 2*f - 4*f + (0 + 0 - f)*(2 - 3 + 3) - 14*f + 2*f + f as b*f + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*o + 204 = 0, -4*g + 86 = -3*o - 179. Suppose 24*v - 20 = 3 + 25. Let f be 1 + v - g\/16. Which is greater: -13\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*x = 386*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.26*0.1.\nAnswer: -2.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 161 (b) 4.35 (c) -102 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*o**3 + 2*o - o + 0*o**3.\nAnswer: 58*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117547 or -117530?\nAnswer: -117547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 5\/(-15)*0. Let j(d) = 9*d**2 + 6*d - 11. Is j(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38296755 rounded to 2 dps?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1. Let z(d) = d**2 - 3*d + 43. What is 5*q(f) - z(f)?\nAnswer: -f**2 + 3*f - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 x when three letters picked without replacement from xtayyyatsya.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -5*b + d - 3, 0 = 2*b + d + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 7*z - 10*z - 2*z**2. Let s(b) = 11 + 6*b - 11. Let y(c) = 6*a(c) + 17*s(c). Let d(p) = -2*p. Calculate y(d(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16*(-42)\/(-196))\/(4\/14). Let f(n) be the second derivative of -4*n**3 - n. Let g be f(-1). Calculate the highest common divisor of k and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195797974?\nAnswer: 2, 97898987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(-9)\/(-192)*8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3459 = 102*m + 615 - 89 - 637 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from {x: 13, o: 3, f: 3}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-254*w**2 + 450*w**2 + 135*w**2)*(w + 2 - 2) in the form r*w**3 + u + y*w**2 + k*w and give r.\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99 in -1\/6, 1, -1\/4, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x = -3*i + 19*x + 6, -i + 5*x = 17 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 3. Let y be 2 - (-5)\/(2 - 1). Suppose -3*c + y*c = 0. Suppose r + 6 = -2*n + 4*n, c = -3*r. Determine k(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 3996?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -644705 times -4.3\nAnswer: 2772231.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1886\/92)\/((53\/(-1272))\/((-7)\/28))?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (54\/(-45))\/((-6)\/20). Solve -4*d - 3*m = -2*m + 4, d = -g*m - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, q: 8}. Give prob of sequence qq.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + -3 + (6 - 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*p = -2*p + 8, c + 5*p = 20. Solve c = 4*r + 5*f - 12, 0 = -5*r + 4*f + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*y + 4656 = 4096 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -130148, -260272, -390396?\n\"Answer: -130124*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**5\/10 + 13*d**4\/6 - 10*d**3\/3 - 24*d**2 - 37*d + 1. Factor x(b).\nAnswer: -2*(b - 12)*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10103*u + 10963*u + 14111*u)*(3 - 5 + 0) as d*u + y and give d.\nAnswer: -29942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5440 minus 0.02?\nAnswer: 5439.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 t when three letters picked without replacement from ttttttsdttt.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 13 = 3*u - 14, -3*u = -4*d + 8. Suppose -643 = 5*t + 2*g - d*g, -g + 520 = -4*t. Let l = -48 - t. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/18772 and -63\/76?\nAnswer: 18772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -403 + -10123?\nAnswer: -10526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 591.8661 - -0.1339. Let y = z + -622. Which is the smallest value? (a) -2\/11 (b) 3\/8 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.04 - 0.04. Let f = -20.000152 + t. Round f to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = z - k + 4, -z + 2*k = 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 20 + 36 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/210 + 17*h**4\/84 + 6*h**3\/7 + 76*h**2. Factor j(u).\nAnswer: -2*(u - 18)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.64 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, o: 10}. What is prob of picking 4 o?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, a: 1}. What is prob of sequence fffa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m - 10*m = -133 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f + 3. Let k be t(1). Suppose -4*w + 231 - 47 = k. Suppose -4*v - c + 2*c - w = 0, -2*v - 5*c - 34 = 0. Sort v, -2, 1, -3.\nAnswer: v, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*t - 25. Suppose 0 = t*l - 9 - 6. Let p be 4\/(-6)*l*-1. Solve o - 2*o = -p*v + 9, 5*v = 3*o + 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 2*y + 3. Determine v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/55 and 19\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 831545?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**3 - 2*w**2 + 3. Let l be j(2). Sort 5, l, 0, 4 in increasing order.\nAnswer: 0, 4, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 530 + -530. Suppose 1 = -y + 2. Suppose -4*z + 16 = 4*u, 5*u = 3*z - 3 - y. Solve q*s + z = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167 - 113. Let k = h - 38. What is the highest common factor of 128 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 25699*s**2 - 25699*s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23986\/11 - 2182. Let g = 2149\/220 - -7\/220. What is the common denominator of g and v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**3 + 296817*k**2*s - 750*k*s + 5*k - 20*s wrt k.\nAnswer: 6*k + 593634*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2398, -5, 5, 3 in decreasing order.\nAnswer: 5, 3, -5, -2398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-38)\/(-57))\/((-2)\/(-270)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-18)*47 - 6\/27. Solve -r = -5*a, 0 = -5*c - 2*a - 0*a + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a87 + -108?\nAnswer: 197a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 110272618 - 0?\nAnswer: 110272618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 486, 515, 540, 561, 578, 591, 600?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 - 20 = 0. Suppose 3*b - 7 = 3*y + t, 0 = y + 1. Suppose -5*k - 20 = -80. Solve b*h + k = -8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 32*n**2 - 8*n - 10. Let z be d(30). Let s(y) = z*y**2 + 2*y - 1 - 1551*y**2 - 7*y. Determine s(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 293 (base 10) to base 6\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3 + 3)*(34*j**3 - 62*j**3 + 8*j**2 + 25*j**3) + 2*j**3 + 4*j**4 - 2*j**3.\nAnswer: 10*j**4 - 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(-2*t + 0*t + t)*(-4*t**2 + 2*t**2 + 0*t**2)*(0*t + 3*t - t).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -522 divided by 6?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 10 + 1 + (2 - 2 - 1)*(1 + 2 - 4))*(-2*d**5 + 3*d**5 - 2*d**5).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/9*6\/4. Suppose c*l + 4 = h, -1 = 4*l - h + 7. List the prime factors of (3 - 5 - l) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 45 = -51 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ba9 (base 14) to base 9.\nAnswer: 11618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - j + 9 + 6)*(0 + 3 - 2) to the form n + r*j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -4*o - 12, 270*b = 271*b + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.4? (a) -0.2 (b) 43 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(343) + sqrt(28)\/(-2*sqrt(4)) + ((sqrt(7) - (sqrt(7) - 3*sqrt(7))*-6)**2 - sqrt(49)\/(-4*sqrt(7))) + -1.\nAnswer: -113*sqrt(7)\/4 + 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18 and -54.\nAnswer: 9.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x\/x**(2\/27))\/x)))\/(x\/x**(1\/15)))**(3\/29) assuming x is positive.\nAnswer: x**(-136\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - x - 1, 4 = -4*o - 4*x - 0*x. Solve 5 = -o*u - u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 220*j. Let y(f) = -74*f. Let m(n) = -11*y(n) - 4*z(n). Let i(c) = -2*c**2. Calculate m(i(w)).\nAnswer: 132*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 25 (c) -0.017 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*(sqrt(504) + (sqrt(504) - (sqrt(504)*2 + sqrt(504))) - sqrt(504))\/sqrt(12))\/(((sqrt(294) - 2*sqrt(294) - sqrt(294)) + sqrt(294))*5))**2*5.\nAnswer: 4*sqrt(7)\/7 + 179\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r - 40. Determine l(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 23*n**2 - 15*n - 19. Let u be c(-23). Let y = -131 + u. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + (2 - 2 - -1). What is the units digit of (-230)\/(-3) + (-4)\/v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -608 less than -3?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1104 and 84272?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2 - 51*z - 8. Let r be l(-18). Let t = r + 139. Let x = t + -68. Calculate the greatest common divisor of x and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5785\/4884 - 356\/111. Calculate the common denominator of t and 167\/480.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183, -244, -353, -516, -739, -1028, -1389, -1828?\nAnswer: -2351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/12)\/((-30)\/(-120))*-3. Let j = -0.281 + 0.051. Let g = -65.8 + 66. Which is the second biggest value? (a) j (b) -2 (c) z (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.273839151 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4462 + 6351. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**2*v - 3944*n**2 + 3*n*v + 58*n + 5585773*v wrt n.\nAnswer: 4*n*v - 7888*n + 3*v + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 - 0.216.\nAnswer: -11.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398476 = -358*j + 306*j. List the prime factors of j.\nAnswer: 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -35. Let l be (n\/(-6))\/(4\/6). Suppose -4*i - h + 131 = l*h, 102 = 3*i + 3*h. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200058766 a multiple of 7168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -499891*o + 0 + 0 + 498018*o - 2*o + 2*o + 2*o - 4*o + 5*o + 0*o - 2*o + 0*o + 0*o + (-2 + 5 - 2)*(0 + 0 - 2*o).\nAnswer: -1874*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 4, 2\/13, 3, 0.14 in descending order.\nAnswer: 4, 3, 2\/9, 2\/13, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253077.6216 - 0.1175.\nAnswer: 253077.5041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2303.1 + -2303. Let j = 1.25 - 0.05. Let a = -0.2 + j. What is the third biggest value in a, s, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 - 4*k**2 + 3*k - 4. Let a(c) = -c**2 + 11*c - 24. Let v be a(9). Does 23 divide w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Suppose -2*v - 36 = -5*x - 188, -3*x - 89 = v. Is q\/10 - 1458\/x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**3\/6 - 3*i**2\/2 - 115*i + 1. Let t(u) = -2*u + 2. Let a(l) = -3*t(l) - 3*w(l). What is a(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8812004 times 5?\nAnswer: -44060020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10287, -6037, 5497, 27957, 64985, 120223?\n\"Answer: 607*z**3 + z - 10895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1142 = 19*a + 1085. Let c(r) be the first derivative of r - 24 - 3\/4*r**2 + 1\/6*r**a. What is u in c(u) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 243 (b) 2\/15 (c) 145 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*t - 47*t - 26656 = 23452 - 12822 for t.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -12216070 to the nearest one hundred thousand.\nAnswer: -12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509906.\nAnswer: 2, 193, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*q + 32273 + 5713. List the prime factors of q.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30579, -63492, -96405, -129318?\nAnswer: -162231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*i + 230120 = -464091, -3*s + 4*i = -694243. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 6*o**2 - 11*o + 70. Let w be t(6). Suppose w*u - 2*u + 2*f = 6, -12 = -4*f. What is the third biggest value in u, -2, 2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3867066 a multiple of 653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.7 + -12.7. Let g = -7.6 - -8. Let p = -0.34 + g. Do b and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-199719)\/(-270) + 9\/30?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 16) in base 2?\nAnswer: 1100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-15) + 148\/6. Let o = 40 - t. Suppose 0 = -4*f + f + o. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3\/7 (b) 0.05 (c) -0.5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0*q + q**2 - 2 + 5 + 4*q - q. Let s(w) = -w. Let g(y) = -5*s(y) + t(y). What is g(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2300, 4794, 7286, 9776?\n\"Answer: -j**2 + 2497*j - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*t**3 + 109*t**3 - 27*t**3 - 2 - 35*t**3.\nAnswer: -3*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(250) - sqrt(250))\/sqrt(10))\/((sqrt(10) - (sqrt(70) + sqrt(70)*2)\/sqrt(7))\/sqrt(2)).\nAnswer: -7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*s + 224*s + 2*y - 2 = 0, 13 = 2*s - 3*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 + d**3 - 5*d + 6*d - 2 - 2 to u*d**2 + a*d**3 + c + l*d and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -130, -276, -474?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -7*o - 0. Let u be (6\/33 + (-35061)\/22)*o. Is u - (4\/(-4 - -5))\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 439*l - 69. Let t(n) = -203*n - 34. Give 6*k(b) - 13*t(b).\nAnswer: -6*b**2 + 5*b + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b - 2*b - b)*(4*b**3 - 2 + 2) + 31*b**4 - 136*b + 136*b to t*b**4 + i*b**3 + z*b**2 + m*b + s and give t.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 2, w: 1, c: 3}. What is prob of picking 1 z, 1 w, and 1 c?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.04497122 * 1\nAnswer: -0.04497122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*2\/(-430))\/(1449\/2415)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -979, -1960, -2941, -3922?\nAnswer: -4903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2519?\nAnswer: 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -441085*k**2 + 1425*k + 2850. Let d(g) = -1239*g**2 + 4*g + 8. What is 2850*d(q) - 8*s(q)?\nAnswer: -2470*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 1727023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 w when four letters picked without replacement from wyyywyyyyyyy.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a*i**2 - 96*a*i + 34*a - 2*i**2 + i + 55 wrt i.\nAnswer: 6*a*i - 96*a - 4*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, -9, -5, -2, -7, 2 in decreasing order.\nAnswer: 2, -2, -5, -7, -9, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8936239 and 9.\nAnswer: 80426151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - o + 8. Let v(i) = -1284*i**3 - 2124*i**2 - 6*i + 48. Let a(s) = v(s) - 6*y(s). What is the third derivative of a(n) wrt n?\nAnswer: -7704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/12)\/1*2. Let g = -8 + 15. Let o(f) = -f**2 + 7*f - 2. Let w be o(g). Which is smaller: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -13, 1\/10818, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/12*-3 + (19 - (-28)\/(-7))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16929 - 16938. Which is the third smallest value? (a) m (b) 132\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 7*l + 33. Let d be (-9 - l) + 0 + 2. Solve -t + 2 = d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6*x - 3*k + 18, -k = 4*x - 21. Suppose x = -4*a + 5. Solve -3*v - 5 - 10 = a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*l + 4*y, 0 = 5*l + 3*y + y - 40. Let u = -4 + 3. Suppose -16875*g + 16819*g = 392. Sort g, l, 5, u.\nAnswer: g, u, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 4*f**2 - 3*f + 2. Let o = 7 - 4. Let i be l(o). Solve r + 15 = -i*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r + 323934 = 8*r. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402636661610 take away 2.4?\nAnswer: -402636661612.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 18 = -6. Let b be (w\/5)\/(6\/195). Let x = 133 - b. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -500 + 501. Solve -j - 1 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 167, 262, 447, 752?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-40)\/2160*27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 1:44 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11022040103 (base 5) in base 11?\nAnswer: -67a4272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.64 + 0.04. Let u = -0.4 - x. Let d = 55849 - 279243\/5. What is the second biggest value in u, d, -8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17312 and 1382255?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 639 + 1608 = 0. Let d = -442 - v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.205 + -0.205. Which is the third smallest value? (a) -0.4 (b) 3\/2 (c) 0.5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 950*a**2 - 25*a + 106. What is the units digit of u(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216738?\nAnswer: 2, 3, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.33? (a) 0.3 (b) -2\/53 (c) 0.4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1159?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 56 = -0*j - 38 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1121031120 - -23031?\nAnswer: 1121120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*(2 + sqrt(1216) + -1))**2.\nAnswer: 14400*sqrt(19) + 1095300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2068235?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19936241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(2 + 4)*0. Let k(j) = j**3 - j + 10. Let g be k(b). Solve 5 = 3*o - g, -o = -3*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 14*g**2 - 8*g - 4. Let a(r) = -3*r**2 + 3*r + 0 + 2*r**2 - 4 + 5 - 4*r**2. Calculate 8*a(d) + 3*x(d).\nAnswer: 2*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/h*h**(-3))**(-2\/41) assuming h is positive.\nAnswer: h**(8\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*c + 3*l, -l + 6 = c - 2. Let g(j) = 0*j**2 - 3*j + c*j**2 + 3*j. Let d(q) = q**2. Determine g(d(h)).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 91, 142\/5, -0.04, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 19*k = 2*s - 101, -20 = -4*k for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 1 + 1)*(-26*w + 67 - 67) + (6*w + 31 - 31)*(2*w - 3 + 3).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -435865 (base 13) in base 11?\nAnswer: -9915a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4 + 1\/(-2) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89056*j + 178107*j - 89080*j - 203 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817252?\nAnswer: 2, 173, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14016*l + 13893*l - 3377 - 190 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.888 - 2.898. Which is the closest to -0.1? (a) -5 (b) n (c) 0.7 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:57 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17518709 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*p - 394 + 1010 = -714 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 486454.3 hours to milliseconds.\nAnswer: 1751235480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*w**2 + 3*w - 5*w**3 + 0*w + 7*w**4 + 23*w**2 - 46*w**2 - 2*w**3 to r*w + d*w**4 + j + y*w**2 + s*w**3 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1471 + 1474. Sort 1, 21, -10, j in decreasing order.\nAnswer: 21, j, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 - 29*y**2 + 18*y - 161. Let f(m) = 7*m**3 + 58*m**2 - 37*m + 323. Let o(k) = -6*f(k) - 13*u(k). Is o(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -12, -27, -46?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z + 30*z + 49*z - z to x*z + w and give x.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -115818, -115913, -116010, -116109, -116210?\n\"Answer: -o**2 - 92*o - 115725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218 or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -219.562 = -0.128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-2 + 5 - 1)*(0 + b + 0) + (3 - 3 - 2)*(-b + 5*b - 2*b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, z: 5}. Give prob of picking 2 z and 1 i.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 487 = 529. Let h = 7 - 2. Suppose 0*d + 3*d + 76 = h*f, -2*f + 3*d = -34. Calculate the greatest common divisor of t and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -2*l, 3*l + 21 = 16*q - 13*q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/(l\/((l\/(l*l**(-3\/4)))\/l)))\/(((l\/(l**(2\/5)*l*l*l))\/l)\/(l*l**7*l)) assuming l is positive.\nAnswer: l**(223\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34487893, -34487897, -34487899, -34487899?\n\"Answer: w**2 - 7*w - 34487887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -3*r + 2*q, r = -q - 4. Let j be 26 + (-49 - -13) + (5 - 0). What is the nearest to -1\/6 in -1, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n = -1860000. Suppose 5*g + n = 2*g. What is g rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u - 3*x = -56, -5*u - 2*x = -54. Let b(k) = k**2 - 12*k + 9. Let g be b(u). Let f(p) = 2*p**2 + 12*p - 20. List the prime factors of f(g).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**42)**(4\/3)*((y*y**(-13))\/(y*y**(-1\/4)\/y))**(-18) assuming y is positive.\nAnswer: y**(199\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5254 = 2*h, 2*h - 8 + 6 = 0. Let i = j + -1128. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**4 + 4*d**3\/3 - 17*d**2\/2 - d + 20. Does 7 divide k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11 smaller than 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -3*d + 0*d**2 + 1\/6*d**4 - 13 - 19\/3*d**3. Factor b(o).\nAnswer: 2*o*(o - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -14.57261123?\nAnswer: -14.67261123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 634.0208 + -634. Let w = y + -0.0208844. Round w to 6 dps.\nAnswer: -0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/((-2)\/4*2). Let t = l - -12. Solve 3*r = f + 14, 2*r = 2*f + t + 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -24031*g + 1057355. What is u(44)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*t + 37, -3*t + 2*l = 5*l - 27. Let a = t + -2. Solve -z + a = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -4526507?\nAnswer: 4526503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 9. Let t be j(-13). Suppose 9*m = t*m - 39. Solve 0*s + 4 = v - 4*s, m*s = -4*v - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**2\/2 + l - 30. Let f(o) = 10*o - 15. Calculate -f(v) - 15*p(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1406*u = 1401*u - 2*t + 110, -72*u - 418 = -2*t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144*-0.388.\nAnswer: -55.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a + 5. Let m(h) = 4*h - 3. Give 10*m(r) + 6*z(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -3*n**2\/2 - 14*n + 630. Let j(t) = -8*t - 41. Give 11*g(a) - 4*j(a).\nAnswer: -a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840659929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*3*2 + sqrt(136) + 1*6*sqrt(136))\/(3*sqrt(512) + sqrt(512) + (sqrt(32)*5)\/sqrt(4)))**2.\nAnswer: 2873\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/33 and -1 - (-2)\/((-36)\/(-381))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 9*f + 13. Let v be q(0). Suppose -a - 5*h = -10, -h + 11 = -4*a + 6*a. Calculate the remainder when (v\/(-3))\/(1*7\/(-21)) is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 23 = 170. Let a = -29 - s. Suppose 20*t - 312 = 14*t. What is the smallest common multiple of a and t?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -28*(8 + 2)*(-306)\/765. Let i be (-1118)\/(-4) + 3\/6. What is the greatest common factor of h and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/5)*(j\/j**1)\/j)\/(j**(-2\/9)\/(j**(-7)*j)))**(-46) assuming j is positive.\nAnswer: j**(12374\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**32\/f*f\/(f\/f**20) assuming f is positive.\nAnswer: f**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 1. Let l(q) = -2*q + 9. Let y(v) = 3*d(v) - l(v). Give y(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -3, 2\/3, -3002, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.1 (b) -543 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d**4 + 2*d**4 - 3*d**4)*(d - 7*d - d).\nAnswer: -42*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00062707852 rounded to 7 decimal places?\nAnswer: 0.0006271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 133324*y + 4530704.\nAnswer: 2*(y + 34)*(y + 66628)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r = 2, 3*d - 670 = -5*r. Let n = d + -105. Does 40 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1962 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*t + 3*p - 71, 3*t + 228*p - 233*p = -108 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.1588 rounded to one decimal place?\nAnswer: 25.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, d: 1, j: 1, y: 1, w: 3}. Give prob of picking 1 q and 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - ((sqrt(60)\/sqrt(4))\/sqrt(5) - sqrt(3)) - (sqrt(192)\/sqrt(4))**2) + -1.\nAnswer: -49 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 4*a**2 + 6*a - 5. Let c be z(-5). Let x = c - -13. Is -3 - (1 - 44) - x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**6\/120 + g**5\/5 - 17*g**4\/8 + 16*g**2. What is the second derivative of j(l) wrt l?\nAnswer: 6*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (27\/(-6))\/(24\/608)*1. Let t = x - -133. Solve 4*c = -4*v - 24, -v - 3*c - t = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/530*-5)\/((-1)\/12). Let p = z + 135\/212. Is 0.8 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {n: 1, t: 2, k: 1, u: 1, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 876.8821931 to 1 decimal place.\nAnswer: 876.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -1. Suppose v - d = 1. Solve v*k + 2 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4668580 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -29. Suppose 5*x - m = -493. Let s = -66 - x. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -11. Let g = 27 + -24. Calculate the remainder when 7*9*1\/g is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/3 + -51 + 0. Let l = q + 45. Let j(r) = -r**3 - 6*r**2 - 4*r + 2. What is j(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7)\/(u*(u**(-2\/9)\/u*u)\/u) assuming u is positive.\nAnswer: u**(-61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 806407*a**2 + 560*a + 6 wrt a?\nAnswer: 1612814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 37, 64, 113, 190, 301, 452?\n\"Answer: t**3 + 2*t**2 - 2*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110573831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 39 - (4 - (-3 + 3)). Suppose -q + 5*q - 161 = -3*v, -q = -v - p. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47901793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 209*h**2 + 4112*h + 370. Calculate u(187).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h - 2. Let f(n) = 5*n + 2. Suppose 0 = 3*c, -4*a - 4 = -c - 12. Let q be (a - 48\/18) + (-10)\/3. Calculate q*z(x) - 3*f(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3691*m**2 - 26*m - 59. Is o(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -214*g**3 - g**2 - 5*g - 4. Let k be u(-1). What is the highest common divisor of 2675 and k?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -196, -451, -962, -1813?\nAnswer: -3088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/11)\/((x**(-1\/2)\/x)\/x)*x**3\/(x\/(x\/x**1))*x**(-3)\/(x*x**7)*(x**(2\/5)*x)**18 assuming x is positive.\nAnswer: x**(2037\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -223\/21 in -27\/4, -2, 0.3, 4?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16939, -33857, -50757, -67639, -84503, -101349, -118177?\n\"Answer: 9*s**2 - 16945*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (21 + -15 + -13 + 10)) + -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwww. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220613?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 9*b - 24. Put -2, 4, b in ascending order.\nAnswer: -2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*j**3 + 314*j**3 - 77*j**3 - 136*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 96, 143, 190, 237, 284?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*y + 418*y = 156*y + 7182 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/(o\/o**(-2\/9)*o))\/o)**24*o**(-1\/6)\/o*o\/o**(-2\/11) assuming o is positive.\nAnswer: o**(-117\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 1. Let x(q) = -2*q**2 + 9*q - 9. Let l be (-6)\/(-2) + -1 + -1. Let p(n) = l*a(n) - x(n). Factor p(s).\nAnswer: 2*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wccgwcgcdygyccccgcc. What is prob of sequence cyg?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/12)\/(1\/6). Let u be (-9 - -10) + (-1 + 2 - r). Solve 0 = -c - 0 - 4, 0 = j - 3*c - u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pibi when four letters picked without replacement from {p: 7, b: 3, i: 4, d: 4, q: 1, z: 1}.\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 27 + 6 = 0. Let j(h) = 10*h - 10. What is the remainder when j(v) is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*l**2 + 193*l**2 - 2 - 65*l**2 - 64*l**2 + 2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 2. Let h be g(-1). Let f be 2 - ((0 - 0) + h). What is the units digit of f\/2 + 4 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 2. Let y be j(3). Let b = y + 7. Let o be (1\/(-1))\/(b\/(-6)). Solve -5*c + 24 = v, -10 = -o*c + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*r + 4. Suppose 0 = -l + 3 - 1. Let o = 1 + l. Put r, -5, o in descending order.\nAnswer: o, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -8. Suppose -6*l + 128 = -2*l. What is the remainder when l is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - -113?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -57*i + 21 - 3. What is the smallest common multiple of 1758 and i?\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o + 10. Let i be (-30)\/o*6\/4. Suppose i = 3*r - 1. What is the greatest common divisor of r and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 6*x - 4*x + 3*p, -3*p = 9. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 1256560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021649 rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, s: 2, r: 3, f: 3}. What is prob of sequence un?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 816579 and 816417 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (22 - (-25 + 19)) + 22 - 20\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -104.103.\nAnswer: 20.8206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9652 rounded to 1 dp?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-72)\/(-120) + 4\/(-15). Let l = 2 - 2.3. Which is the smallest value? (a) h (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 10:24 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + (sqrt(120)\/(sqrt(18)\/sqrt(3)) - -3*(3 + (-1*sqrt(5))**2)).\nAnswer: 2*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-3250)\/39)\/(-10))\/((-38)\/(-252) + (-237)\/553)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/2 + 47889827*q**4 - 1528957036023228*q**3 + 16271442615106134064477*q**2 - 32542882172298291862151*q\/2 = 0. Calculate q.\nAnswer: 0, 1, 31926551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11ae3d24 - -5?\nAnswer: 11ae3d29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3*n + 3)*(1 - 5 + 1)*(115 - 134 - 224) as o*n + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1406*p. Let y(f) be the second derivative of -f**3\/3 + 1231*f. Calculate y(b(c)).\nAnswer: -2812*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 2*q**2 + 3*q**2)*(1 - 4 + 2) + 2*q**2 + 2 - 2 - 1574*q**2 + 979*q**2 + 915*q**2.\nAnswer: 323*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -357*f - 292?\nAnswer: -357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 8*g + 11. Determine x(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2487.\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/40 - (-402217)\/(-151780).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -21*j + 2354. What is h(104)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(816) - 2*(sqrt(816) - (sqrt(816) - sqrt(816)*-2)))*-5)\/((sqrt(252)\/sqrt(7) + sqrt(9))\/(-2*sqrt(3)*-1)).\nAnswer: -200*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8) - 0 - ((-8712)\/(-864) + -12)\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfeewueefww. Give prob of picking 1 e and 1 d.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -152720, -152910, -153098, -153284?\n\"Answer: u**2 - 193*u - 152528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -49. Let z be (-32)\/12*(-27)\/24*f. Let o be -1*69\/15 - z\/(-10). Sort -3, o, 2 in descending order.\nAnswer: 2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 26*z - 132. Determine r(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 645309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 674042477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 7*x**2 + 4*x - 7. Let t be u(6). Let p = t + -52. Is p\/((7\/(21\/(-9)))\/(-3453)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/1 + 2 + 55\/65. Let u = -6 - -4. What is the closest to u in 4, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.72 * 746.\nAnswer: -1283.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -23. Let q be 2*(1*92)\/1. What is the highest common divisor of q and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 10 = -2*n, 3*k = -2*n - 6 + 21 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (96\/(-9))\/((-1)\/18). Calculate the highest common factor of 704 and k.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l**10)\/l*l))\/l**(-4\/7)*l\/(l*l**(3\/11))*l*l**(10\/9) assuming l is positive.\nAnswer: l**(-5260\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -118735425 divided by -527713\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 divided by -109.\nAnswer: -166\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.34 - 2.9. Round w to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*z - 1 = 0, 3*i - z = 2*i. Let y be -192*(i - (-2)\/4). Calculate the common denominator of 52\/33 and ((-44)\/y)\/(1*2\/(-6)).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9*b + 10 = 5*o, 4*o + 2*b = 8. Let k = -629 - -626. Put o, -5, k in ascending order.\nAnswer: -5, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - 0) + -420 + 429 - 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 - -2.7. Let p = z - -0.1. Which is bigger: -2\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -719\/25 bigger than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, -610, 5\/6 in increasing order.\nAnswer: -610, -7, 5\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693*y + 690*y = -18 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19055 - -28913. Suppose -9*s + 34923 - x = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 - (14 + -1 + 160 + -168).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 0.06 (c) -4326 (d) 2\/5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3580 and 1790.\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.5 and 14794.\nAnswer: 14796.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 + -102. Put 2, 3, -10, f in decreasing order.\nAnswer: 3, 2, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*j + 65*j - 265*j + 91*j + 43*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1183.2 + -1183. Let g = -0.173 + 0.073. Which is the nearest to k? (a) -0.4 (b) 0.2 (c) -28 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, z: 3, d: 3}. What is prob of sequence ccd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 3*a**3 - a + (-3 - 36 + 80)*(-10*a**3 + 24*a**3 + 10*a**3).\nAnswer: 981*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 10*g**2 + 163*g - 1643. Give s(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 0.09 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 9 - 7)*(354 - 5379*s + 10758*s - 5378*s) to t*s + l and give l.\nAnswer: -4248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430*q = -448*q + 72. Solve 3*a + u - 28 = -37, -q*a + 2*u - 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -149*v + 7. Let u be x(-11). Suppose r = -5*i + 3673 + 442, 2*i - u = -5*r. Suppose -2*b + i - 153 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6150 - -3835. Let l = k + 7031\/3. Which is bigger: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksyskkyddsbk. Give prob of sequence ybs.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 27 = 3*i, 3*c + 4*i - 42 = 2*i. Suppose 3*z - 279 = c. What are the prime factors of z?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31519877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-7)*(2 + 0). Suppose 4*v = -0*v - m. Let a = 1 - v. Solve a*d = -7 + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 3*s - 4. Let r be x(-3). Let v = r - -9. Suppose -3*u = -v*j - 117, u = 2*u - j - 37. What is the remainder when u is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/135*87\/58.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 622922*f**3 + 4*f + 2*f**2 - 843 - 166*f**6 - 19*f**6 - 3*f - 622911*f**3 wrt f.\nAnswer: -22200*f**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r. Suppose -3*x = -0*x + 6. Let l = x + 4. Solve r = a + l*s - 9, -a - s + 5 = -2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 145*k - 84100.\nAnswer: 5*(k - 116)*(k + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2640.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhhqqeheh. What is prob of picking 2 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -560, 18, -178, 5 in ascending order.\nAnswer: -560, -178, 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2576*t. Let r(y) = -1042*y**2. What is q(r(u))?\nAnswer: 2684192*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 4. Let j(x) = 2*x**2 - 3*x. Let n be j(3). Let s be v(n). Which is the biggest value? (a) -1 (b) s (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 138, 158, 178, 198, 218?\n\"Answer: 20*y + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3379724?\nAnswer: 2, 127, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**2 - 2*d - 3*d**2 - 4*d + 2*d - 3. Differentiate g(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfoftyftyaf. Give prob of picking 2 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -22*t**3\/17 - 11031800*t**2\/17 - 5014438*t\/17 + 6017340\/17 = 0?\nAnswer: -501445, -1, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n**2 - 84*n - 462. Let z(b) = 5*b**2 + 42*b + 230. Let t(s) = 3*g(s) + 5*z(s). Differentiate t(c) with respect to c.\nAnswer: -4*c - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4053 divided by -3\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 24*f + 332. Calculate i(-34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pppppxppppppppp.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddnnnd. What is prob of picking 2 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3040229 and 1462.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o**3 - 9*o**3 + 3*o**3 - 39*o**2 in the form l*o**2 + w*o + v + u*o**3 and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 9 + (0 - 3 + 2)*(-2 + 2 - 2) - 1 - 2 + 0)*(0 + 59*u**4 - 72*u**4 - 4) in the form h*u**3 + f*u + j*u**4 + g + r*u**2 and give j.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011010111001001 + 10?\nAnswer: 1000011010111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/85116 and 59\/36.\nAnswer: 255348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 a, and 1 w when three letters picked without replacement from aawaarhaa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 48. Suppose 3*m = 3*g - 18 + a, 2*m - 5*g = 15. Which is bigger: 9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -16*s + 5. Give o(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 128*l - 26. Let v(r) = 89*r - 18. Let d(x) = -5*u(x) + 7*v(x). Let q(g) = -68*g + 17. Give -17*d(f) + 4*q(f).\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -714, 2, 3\/2, 1.56, 1\/4 in descending order.\nAnswer: 2, 1.56, 3\/2, 1, 1\/4, -714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i + 4*c - 64 = 0, 5*i - 145 = c. Suppose 3*k - k - 2 = 5*p, 0 = 3*k + 5*p - i. Suppose -n + 0*n = -k*n. Solve 2*g + n*g = -8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61388.01 - 61731. Let v = 343 + d. Sort 1, 2\/19, v in decreasing order.\nAnswer: 1, 2\/19, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3159) + sqrt(3159) + sqrt(3159) + sqrt(3159) + sqrt(390)\/(-2*sqrt(10)))\/(sqrt(30)\/(sqrt(640) + sqrt(640)*2)).\nAnswer: 852*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 734244671 + -0.6.\nAnswer: 734244670.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2508897 is divided by 627221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 191 + -193. Suppose -847 = 22*s - 11*s. Which is greater: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1615.06 * 195.\nAnswer: 314936.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19354 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 709 = -4*k - 795, 3*k + 5*a + 58 = 0 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i - 16. Suppose 0 = 2*w - 0*w - i. Suppose -4*o + f + 1216 = -3*f, 5*f + 599 = w*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + m - 16 = 0, -3*z - 2*m - 2*m + 12 = 0. Let j be 0\/(-2) - z\/2. Let w = j - -5. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4947*w + 4944*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*f = -4*b - 211*f + 6, 3*b = 4*f + 20. Solve 4*l = -o - 3, 2*l - b*o = -6*o + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/((-1)\/(-6)). Suppose -3*o + 2115 = 2*i + 2*o, t*i + 3*o - 4209 = 0. Let h be ((-80)\/6)\/(4\/i). What is h rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467712013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45475616 and -0.3?\nAnswer: 13642684.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r + m = 169, 2*r + 5*m = 86. Does 33 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101010001101010010010 (base 2) to base 10.\nAnswer: 9771666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5434)\/(-247)*(-12)\/33?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41380410 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**5 + 495*j**4 + 11650*j**3 + 78200*j**2 + 186720*j + 119680 = 0. What is j?\nAnswer: -68, -22, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -j - 2*j + 35, -2*j = 2*a - 26. Let b = j - 14. Solve -b*p = -3 + 9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -19. Let p = -3 - -2. Sort 1, f, p in descending order.\nAnswer: 1, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0 + (2 - 9 - 7)*(4 + 5 - 5))*(-3 + 0 + 0)*(-s - s + s).\nAnswer: -162*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9077, -8630, -8183, -7736, -7289?\nAnswer: -6842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -14*w - 17. Let m(j) = 5*j + 6. Let c(u) = -17*m(u) - 6*s(u). Let q be c(-2). Solve q*p - 4 = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1404 and 178659.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1010001 (base 2) to base 4\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/10)\/((-1)\/2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 8. Give u(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*u + 3709 - 1029 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/22)\/((-1040)\/1144)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 12*a**2 - 15*a + 10. Let w be g(13). Let q be (-5)\/(-10)*(-2 + w). Let h(y) = 15*y**2 - 8*y - 32. Is h(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -7, -2, 6, 0, -25, -8 in increasing order.\nAnswer: -25, -8, -7, -2, 0, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -96 + 96 + 4*p - p - 2*p. Let t(l) be the first derivative of 79*l**2 - 8. What is t(n(q))?\nAnswer: 158*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1375 and 2035?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38041 - 734?\nAnswer: -38775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 14 = -2*o, 0 = -0*o + o - 4*l + 13. Suppose 0 = 2*d - 0*d - 8, 4*n - 5*d = 0. Calculate the remainder when n is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s - 5. Let n(b) = 3*b + 6. Let r(m) = -5*n(m) - 6*t(m). Let i(h) = -3*h**2. Determine i(r(j)).\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11354, 11355, 11356, 11357, 11358?\nAnswer: 11359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {s: 1, k: 2, j: 1, w: 1, d: 4}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, -6, 0 in ascending order.\nAnswer: -6, 0, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123*q**2*u**3*z**2 - 2*q**2*u**2*z**3 + q**2*u*z**2 + 2*q**2 - 12*q*u**3*z**3 + 11*q*u**2*z**3 + q*u wrt u?\nAnswer: 738*q**2*z**2 - 72*q*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 9 (b) -1\/2 (c) 3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 93674 and -6?\nAnswer: -562044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*m**3 - 2*m**2 + 33*m wrt m.\nAnswer: -84*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + (-5 - -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 22*q**2 + q + 49. Is 6 a factor of x(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 4*u**2 - 3*u + 7. Calculate y(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + l**2)*((2 + 2 - 2)*(3 - 3*l**2 - 3) - 3438*l + 92*l**2 + 3438*l).\nAnswer: 86*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -48 + 116?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/21)\/((-14)\/21). Sort x, -2\/9, 0.3, -4.\nAnswer: -4, -2\/9, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.445148 times -1?\nAnswer: 62.445148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300\/(-240)*(32\/(-10))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from {f: 4, x: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10\/203 + 962\/3045. Let i(p) be the second derivative of 3\/5*p**5 + 1\/3*p**3 - 2\/3*p**4 - v*p**6 + 1\/21*p**7 + 0 + 0*p**2 - 3*p. Factor i(j).\nAnswer: 2*j*(j - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*y + 1, -y + 4*y - 34 = -5*a. Solve -8 = -2*d - a*p - 2, -d + p = 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.827521 rounded to one dp?\nAnswer: -20.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*l + 122*l = 72 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6382148 + 3*t**3 - 6382148.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 490, 484, 478, 472, 466, 460?\n\"Answer: -6*z + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 26 = g - 5*b, 0 = 4*g - b - 139. Let i be 285\/25 + (-6)\/15. Let f = i - -7. What is the remainder when g is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 4. Let l be h(10). Suppose 0 = -3*u - z + 19, 2*z + l = 3*u - 2. Let r(t) = 2*t + 20. Let c be r(-4). Solve -3*d - c = -u*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2. Let h(k) = -2*k + 28. Let q be h(13). Let z(b) = 8*b**2 - 25*b**2 + 8*b**2 + 8*b**q. Give z(l(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3361317 (base 8) in base 7?\nAnswer: -10510103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2486 divided by 18.\nAnswer: -1243\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 + 2*y - 5. Let n(x) = 2*x**2 + x - 4. Let h(a) = 3*b(a) - 4*n(a). What is the tens digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/4 and 161\/243000.\nAnswer: 243000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 + 0*o**3 - 13870*o + 13870*o.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204\/(-595)*230\/69?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141 - 141. Which is the nearest to i? (a) 1 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 3. Suppose -12 + 8 = -x. Let v(p) = p + 2. Determine x*o(g) + 5*v(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgjdkjjkggjdgjkjjjj. Give prob of picking 2 j and 2 k.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1344.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9838 rounded to the nearest 100?\nAnswer: -9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159596 is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(35*x**3 - 35*x**3 + 91*x**5).\nAnswer: -182*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835)*1)\/(sqrt(245) + sqrt(245)*-2 - sqrt(245)) - (-5 + (-3*2*sqrt(42))\/((sqrt(72)\/sqrt(4))\/sqrt(3))).\nAnswer: 5 + 75*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 246.4 + -305.4. Which is the closest to -3? (a) w (b) -0.1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20346666 to the power of 1\/2, to the nearest integer?\nAnswer: 4511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d - 2*d - 4*d)*(-d - 17 + 14 - 2*d).\nAnswer: -3*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = f + 49 - 108, -y = f - 79. Calculate the highest common factor of f and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129.93 + -2.07. Let m = p + 134. Let i = -7.7 + 8. Which is the closest to 1\/2? (a) -5 (b) i (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -3. Solve -b = -6*p + p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((6*2*sqrt(240) + sqrt(240))\/(-1*sqrt(864)))\/((sqrt(96)*-2*4 - sqrt(96))\/((sqrt(108)*-2 + sqrt(108))\/sqrt(9))).\nAnswer: -65*sqrt(5)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7012 - 6960. What is the remainder when 277 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26028 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1383384t to grams.\nAnswer: 138338.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12820*f*i**2*q**2 - 4*f*i**2 - f*i - 2*f*q**2 - 117*f - 2*i**2*q**2 + 1325*i*q**2 wrt i.\nAnswer: -25640*f*q**2 - 8*f - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -49*k + 26. Determine u(3).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.1048.\nAnswer: 0.0524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 2) + 5 + (-3 - 10) + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 6\/1 - -2. Let l(j) be the second derivative of -j**3\/3 - 17*j**2\/2 + 15*j. Let p be l(-10). Solve -p = r*i - 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 7:29 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, g: 12, d: 2}. What is prob of sequence ngd?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2340134 (base 5) to base 11.\nAnswer: 2a485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17673?\nAnswer: 3, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 388828 and 3110624.\nAnswer: 3110624","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 smaller than 3652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v = -24. What is the highest common factor of 24 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**3 + h**2 - 5*h**3 + h**2)*(2 + h - 2) - 3*h**2 - 2*h**4 + 3*h**2 + (1 - 1 - 1)*(-12*h**4 + 9*h**4 - 3*h**4).\nAnswer: 5*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -108142, 3, -1, -5, 1 in decreasing order.\nAnswer: 3, 1, -1, -5, -108142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 2. Let p be s(-1). Let l = 3806 + -3805. What is the closest to l in p, 1, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 605 and 907195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 1. Suppose 0 = u + 1, -9*q + 7*q + 1 = -5*u. Let i(t) = -10*t - 14. Determine q*i(m) + 28*z(m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -12 + -5 + (-1 - 7).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 3*u**2 - 42*u + 10. Let l be j(8). Calculate the lowest common multiple of 10 and 56*l*9\/(-63).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85.51 - 86. Let h = b - -0.15. Round h to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 + (2 - 11) + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2349432 is divided by 1338?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/20*5\/(-1). Which is the nearest to 0? (a) 1\/18 (b) -1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Suppose 0 = -8*v + 25 + 7. Solve -3*g - v = x*d - g, -5*g = -2*d - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -68*h - 11. Is v(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + 5 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -19774, -0.3, -0.5, 2 in descending order.\nAnswer: 2, 1, -0.3, -0.5, -19774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9227376 is divided by 400?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35042 + -9436. Let z = i + -14061. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 456. Let c(w) = -w**2 + 4*w. What is c(v(k))?\nAnswer: -9*k**4 - 2724*k**2 - 206112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 158.85 and -56.1?\nAnswer: -8911.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 124.\nAnswer: -11\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.44, -3\/7, -27, 2147 in decreasing order.\nAnswer: 2147, 0.44, -3\/7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1473 = -38*p + 655. Calculate the remainder when p is divided by 40.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 439 - 435. Sort -5, 1\/4, q in increasing order.\nAnswer: -5, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2103033282 divided by 6.\nAnswer: -350505547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17259 = -22*l - 8318 - 8413 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 43?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 7*g + 10. Suppose -6*l = g*l - 484. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11878349 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k - 2. Let i(g) = -44*g**2 + 2*g. Give i(n(s)).\nAnswer: -3564*s**2 + 1602*s - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4\/w)\/(w*w**9*w*w)*w**(5\/4)\/w*w*w**(-3\/7)*w)**17 assuming w is positive.\nAnswer: w**(-3417\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -355 + 28*z + 307*z - 64*z + 70*z wrt z?\nAnswer: 341","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-3*y**3 + 6*y**3 - 2*y**3) - 5 - 101*y + 65*y - 330*y**3 + 38*y.\nAnswer: -331*y**3 + 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 6451 - 5383 = 0. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - n. Let m(i) = -8*i**3 - 3*i**2 - 6*i. Let q(g) = 6*c(g) - m(g). Let r be q(-2). Is 10 a factor of (-18)\/4*((-160)\/15 - r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3062, -24558, 5, 2\/15 in ascending order.\nAnswer: -24558, -3062, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 4, o: 2, z: 5, y: 1}. What is prob of sequence zm?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**4\/24 - 3*j**3\/2 - 2*j**2. Let y be o(-13). Find the first derivative of -y + 2*s - 4*s + 3*s wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137431\/5 - 27487. What is the second smallest value in -4\/149, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*z = -103 + 115, 3*o = -z - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 9:45 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1035.710967 + 1035.7. What is u rounded to four decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 212 = -3*l, 624 = 6*d - 3*d + 5*l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 12*m - 49. Let v = 53 + m. Suppose 7*q - 4*z + v = 3*q, -4*z + 4 = 5*q. Does q = -23\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7267\/4 - 1892. Which is the closest to -1\/8? (a) -2 (b) -1\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-4 - (-43)\/10). Let a = j - -3. Let r(z) = 106123*z**2 + 3*z - 6. Let q be r(a). What is q rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24627*s**3*w + 3*s**2*v*w - 1326*v*w + 28*w wrt s.\nAnswer: 73881*s**2*w + 6*s*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -222000221210011?\nAnswer: 222000221210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1749*p = -1346*p + 6045 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 + 3 + -8 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 672*s**2 - 1 - 214*s**2 + 256*s**2 as c + y*s**2 + k*s and give y.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8820 and 900.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68968.\nAnswer: 2, 37, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160)*2 + sqrt(2160))\/((sqrt(33) - sqrt(825))\/sqrt(11)) + ((sqrt(240) - sqrt(60))\/sqrt(12) + 4)*1.\nAnswer: -8*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 2*u + 3*u)*(4 - 4 + 2) - 2*u + 2*u - 2*u - 7*u + 3*u - u - 1 + 3*u + 1 + (-2 + 4 + 1)*(32*u + 25*u - 24*u).\nAnswer: 93*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -3*c**4\/4 + 21*c**2\/2 + 18*c - 29. Factor l(z).\nAnswer: -3*(z - 3)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 390414 = 390106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -60222 (base 9) to base 15\nAnswer: -bab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -392, -786, -1182, -1580?\nAnswer: -1980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 1\/84*h**8 + 0 + 0*h + 0*h**4 + 0*h**5 + 0*h**3 + 13*h**2 + 1\/30*h**6 + 4\/105*h**7. Factor r(b).\nAnswer: 4*b**3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -729 - 205?\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h**3 - 56*h**2 - 6*h + 30. Determine k(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23980 - 23392 = 42*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -17*q**2 - 6*q - 13*q**2 + 33*q**2 - 6. What is the first derivative of f(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 109629217 and 109629218 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 2:40 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3265\/254 + -1442\/127. Suppose -x + i - 3*i - 16 = 0, 2*i + 56 = -3*x. Does z = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 1. Let m be x(-6). Let l = -4 - m. Which is the third smallest value? (a) 0.5 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003327 rounded to six decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6, 64, 208, 480, 922, 1576, 2484, 3688?\n\"Answer: 7*f**3 + f**2 + 6*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*b**3 + 54*a**2*b**3 + a*b**3 - 7*a*b - 9*b wrt a.\nAnswer: 6*a*b**3 + 108*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssessessssss. What is prob of sequence esse?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 672*x**2 + 3 - 3 + 0.\nAnswer: 672*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 2\/3*3*(-76)\/(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648*b**2 - 740*b**2 - 676*b**2 + 330*b**2.\nAnswer: -1734*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3302 (base 6) to base 2.\nAnswer: 1011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 315081193 a multiple of 991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/265 or 1?\nAnswer: -3\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(14\/(-7)) + -8)\/(-3). Let g(z) = 31*z - 4. Calculate g(l).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8836*u + 22646 - 22646 as s + w*u and give w.\nAnswer: -8836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -14*d**2 - 35*d - 11. Let t be m(-2). Let g = 47 + -33. Differentiate 5*l**t + g - 5*l**3 - 18*l**3 with respect to l.\nAnswer: -54*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3682 + 1843 - 2*a**3 + 420*a**2 + 1841.\nAnswer: -2*a**3 + 420*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 6. Let o(a) = 1. Suppose -k + 2*z + 10 = -4*k, 0 = -2*k - 5*z - 25. Suppose 2*s - 16 = 2*t + 2*t, s + t + 1 = k. Determine s*c(l) - 10*o(l).\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k - 2 - k**2 - 2*k**3 - 4*k**2 + 3 + k**3. Let m be x(-6). Let r be 12 - (11 + -13 + 8). Calculate the greatest common factor of r and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(2*sqrt(7)))**2 + 0.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 + 2*r**2 - 4*r**2)*(-8 + 5*r**2 + 8 + (3*r + r - 3*r)*(-1 + r + 1)) as n + c*r**2 + p*r**4 + b*r**3 + a*r and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 705, 15, -0.3, 0.4 in decreasing order.\nAnswer: 705, 15, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29283807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 11) to base 12.\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.693 + -89.793. Let g = 62.1 + s. Is g bigger than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -5 + 4 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 4*r. Let w(k) = -8*k**2 - 11*k. Let f(i) = 11*s(i) + 4*w(i). Let n = 20 - 11. Let a(c) = 3*c**2 + c**2 + n*c**2. Give f(a(l)).\nAnswer: 169*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + -80. Find the common denominator of 1\/3 + 163\/15 and 6\/16*k\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 12600001*s**4\/24 - s**3\/3 - 8*s**2. Let d be v(2). What is d rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58108, 117315, 176522?\nAnswer: 235729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 25 - 25 - 3*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let x be t(3). Suppose x + 1 = -a. Let v be (-1)\/a + (-3)\/12. Which is smaller: 3\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 10*o = 20. Suppose -b + 0*l = l - 17, -l + 36 = 2*b. What is the remainder when b is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 115\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 5*u - 5. Let z be s(7). Let c(p) = -8 + 5 + 3 + z - 2*p. Give c(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 65, 132, 219, 332?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5956 - -5961. Put 1, -3\/2, o in descending order.\nAnswer: o, 1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 118474? (a) -2\/9 (b) -5 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.43 - -0.53. Let i be ((-3)\/(-4))\/(6\/(-4)). Let g = -4 + 0. What is the third biggest value in a, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.16769 and 0.283.\nAnswer: 0.11531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 170554, 348409, 526264, 704119, 881974, 1059829?\n\"Answer: 177855*z - 7301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bnnbbbbbbbnb?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m - 8*m - 3*m)*(0*m - m + 0*m) + m**2 - 2*m**2 + 0*m**2)*(m**2 + 2*m**2 + 0*m**2).\nAnswer: 21*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 3\/5*j**5 - 84*j**2 + 116 + 9\/2*j**4 - 3*j**3 - 144*j. Factor x(z).\nAnswer: 3*(z - 3)*(z + 1)*(z + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -42804*p**3 + 493*p**2 - 493*p + 493. Let h(a) = -522*a**3 + 6*a**2 - 6*a + 6. Determine -6*f(q) + 493*h(q).\nAnswer: -522*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5174 from 328.\nAnswer: 327.4826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = d - 8646 + 1478, 4*v = -3*d + 21504. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91010 greater than -91054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1444 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((600\/(-16))\/(-5)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 17*i**2 - 176*i + 52. Let l be g(7). Sort 7, 13, 1, l, -1 in decreasing order.\nAnswer: 13, 7, 1, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -23*m - 17*m + 38*m. Let b(x) = -24*x + x + 53*x - 7*x. Give o(b(w)).\nAnswer: -46*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t**14)**11 assuming t is positive.\nAnswer: t**(-143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-7) - (-72)\/(-42). Let j = b + -7. Is (j\/6)\/(4\/(-152)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.62 * -2.296\nAnswer: -3.71952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 212730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5234592299.\nAnswer: 5234592299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*l = 455 + 555. What is the remainder when 24*6\/(-20)*-5 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -28) + -21 - (1 + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-15))\/(2\/(-30)). Let v(j) = j**3 + 7*j**2 - 2*j - 5. What is the remainder when v(g) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 20. What is the least common multiple of r and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l - m + 16, -4*m = l - 12. Let n be (3\/5)\/(l\/(-20)). Let j = -0.06 - -0.36. What is the closest to 0 in j, n, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -197, -265, -329, -389, -445?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-7)\/(-105)*(-3)\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j + 2 = 0. Let i = -2244601\/56 + 40082. Which is greater: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(60)*-1 - sqrt(60)))\/((-2*sqrt(768) - sqrt(768)) + sqrt(12)) - ((-2*sqrt(55)*-5)\/(sqrt(11) + (sqrt(11)*-1 - sqrt(11))*1))**2.\nAnswer: -500 - 12*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59936 is divided by 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162*f*l**2*v - f*l*v + 2*f*l + 37*l**2 - 12*l*v + 2*v with respect to f.\nAnswer: 162*l**2*v - l*v + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0041 and -0.1.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 76, 174, 312, 490, 708?\n\"Answer: 20*z**2 - 2*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 + 5*f + 2. Let z be q(-3). Let k(x) = z*x - 3 - x + x - x**2. Give k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Suppose -13*l = -8*l - 210. Let s be 7\/(-6)*(-27)\/l. Are k and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/(7250\/(-450)) - 2)\/(116\/(-10)).\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 353394 and 2784.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - -6. Let g = 61 - j. Let u = -31 + 96. Calculate the greatest common divisor of g and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2239441 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -187 + -448. Round t to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11, -7, -25, -43, -61, -79?\n\"Answer: -18*y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1720594\/11 + 156418. Let w be 0 - 2 - -4 - 2. What is the fourth smallest value in x, 2\/15, w, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 + 124.212\nAnswer: 125.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7884 - 1614 = 4*d, 3*d - 15 = 0. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 52 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 5*q**2 + 3*q - 1. Let o be a(-4). Suppose n - 10 = 3*n, 0 = -2*h + o*n + 25. Let m(i) = i**2 - 5*i - 4. Calculate m(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 390 = 2*w, -4*w - 589 = -5*x + 8*w. Calculate the remainder when 8882 is divided by x.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 749250*o**3 + 12745*o**2 - 8*o + 3 wrt o?\nAnswer: 4495500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -16)*(9 + (-14)\/35*25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*n - 80*n - 6 = 0. Let w(g) = g**3 + 5*g**2 + 3*g + 3. Let d be w(n). Solve 4 = i + 3*y, -y = 2*i - 5*i + d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2136? (a) -0.3 (b) 3 (c) -2 (d) -24216 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -127925897925 - 10\nAnswer: -127925897935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -161304.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 461\/1876 - -2\/469. Let l = 137\/12 - 35\/3. What is the closest to o in 2\/13, -0.4, l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.008*1011.\nAnswer: -8.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 120*k**3 + 75*k**3 - 143*k**3 + (0*k**2 + 2*k**2 + 2*k**2)*(0*k - 3*k + k).\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/6)\/(6\/1668). Let q = 1058 + -398. Let f = q - k. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**3\/3 + 176*f**2 - 30976*f + 3345. Factor d(z).\nAnswer: -(z - 176)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (2*-3 + 2). Let x = -154 - -148. Let y be x\/(-270)*12*3. Which is the smallest value? (a) l (b) y (c) 5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -92, -94, -96, -98, -100?\n\"Answer: -2*o - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**3 - 6*w**2 + 2*w + 4. Give z(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 3:51 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -782, -6236, -21028, -49826, -97298?\n\"Answer: -778*m**3 - m**2 - 5*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/10*(-15)\/(-6). Let t(i) = -i + 2. Calculate t(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 258*g**2 + 24972*g + 158472.\nAnswer: -3*(g - 62)*(g + 6)*(g + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 708 - 705. What is the nearest to 3 in 3\/5, i, 27?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.180001 + -0.18. What is x rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 3:02 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = m - 18, 0*m + 21 = 2*m + 5*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -26, 2 in decreasing order.\nAnswer: 5, 2, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 40, 73, 104, 133?\n\"Answer: -m**2 + 36*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594 = -3*o + 4*q + 1535, -2*o = 3*q - 650. Let t = o - 167. Let w = 251 - t. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**5 + 2*w**4 - 27*w**3 + 5000*w**2 wrt w?\nAnswer: 60*w**2 + 48*w - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + 0*v)*(-4*v**2 + 0*v**2 + 2*v**2) - 949753*v + 165*v**3 + 949753*v.\nAnswer: 169*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 4*f**2 + 4*f - 3. Let l(i) = 2*i + 51. Let c be l(-24). Suppose 0 = c*n + 2*n + 25. Determine g(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42113*n**3*u + 326*n*u + 4*u + 2 wrt n?\nAnswer: -252678*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + z + 4. Suppose 3*u = u - z*k + 248, -4*k + 370 = 3*u. Let a be 6\/21 - 15\/u. What is the smallest value in 2, -0.06, a?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j = -28*j - 54275. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 43*c**3 - 6*c**2 + 18*c - 23. Let x(a) = -87*a**3 + 13*a**2 - 39*a + 46. Calculate 13*i(r) + 6*x(r).\nAnswer: 37*r**3 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 3:55 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhbb when four letters picked without replacement from {p: 2, h: 5, b: 3, y: 1, n: 1, m: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajt. Give prob of picking 2 a and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(76)*-5)\/(sqrt(4) + sqrt(40)\/(sqrt(10)*3)).\nAnswer: 45*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2. Suppose -4*x - 26 - 2 = 0. Let v be 14\/8 + x\/(-28). Let u(i) = v*i**2 + 1 - 4 + 3. Give u(t(a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w**3 - 11*w**2 + 11. Let l(b) = b**3 + 2*b**2 - 2. Let h(m) = 11*l(m) + 2*n(m). Let x = 7988 - 7979. Let z(u) = 5*u**3. Determine x*h(t) + 2*z(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 5*b - 4. Let j be o(-6). Suppose -4*q = 16, j*q = 2*x + 3*q - 76. Calculate the remainder when x is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419635297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1589? (a) 0.5 (b) 8\/9 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + l**2 - 2)*(-11*l - 18*l + 30*l - 29*l**2).\nAnswer: -29*l**4 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -3.97, 1192?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 18. Let y be p(-17). Let m(q) = 1. Let a(f) = f**2 - f - 1. What is y*a(i) - m(i)?\nAnswer: i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -48*o - 1016. Determine v(-22).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**3\/3 - 2*o**2 - 5*o + 366. Let c be (-2 - -5)*8\/(-6). Calculate u(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131159942 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -107 (b) -0.4 (c) -1\/9 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 14*a - 6. What is the units digit of k(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 4\/5*x - 1\/10*x**4 - 2\/25*x**5 + x**2 + 75 + 2\/5*x**3. Factor z(y).\nAnswer: -2*(y - 2)*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*(-7)\/210)\/(4\/1008*3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + 21. What is the highest common divisor of 451 and q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 1.2?\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15386747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 44 - 44. Let x be 10\/55 - 480\/i. Suppose -12 = -x*h + 18*h. Solve -h*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00120478733 to six decimal places.\nAnswer: 0.001205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 7:47 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 147 - -6c?\nAnswer: 1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**5\/10 + 5*r**2 + 8. Let a(n) = -n - 4*n + n. Give h(a(l)).\nAnswer: -96*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101410742 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8201*m + 33. Let j(h) = 303436*h + 1232. Calculate -3*j(f) + 112*o(f).\nAnswer: 8204*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (10 + 0)*(-105)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11101001011101001 (base 2) to base 11\nAnswer: 81893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 31556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25277735 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 34*s**2 + 7*s + 9. Let x be d(-2). Which is smaller: 132 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (208\/(-390))\/((-4)\/40*-4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13482670?\nAnswer: 2, 5, 53, 25439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = 2, -v - r = 29. Let u = v + 152. Let j = 185 - u. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - -2*sqrt(882)) + sqrt(450)*-1 + sqrt(450))\/(-4*((sqrt(6) - (sqrt(96)*3 - sqrt(6))) + sqrt(6))).\nAnswer: 5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4*f**2 - 2*f**2 + 1)*(8 - 6 + 3) to w + q*f + y*f**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-12) + (-32025)\/(-180). Let s = -174 + x. Solve 4*i = -12, s*t + 0*t + 1 = i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/8135568 and 155\/8316?\nAnswer: 268473744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -4 (c) -2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 298\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 16*a**2 - 8*a + 4. Let h be v(15). Let g(o) = 2*o + 5. Let y be g(5). Suppose 0 = 4*c - y - h. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022488919 rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 80.61 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1097, -4330, -9673, -17090, -26545, -38002, -51425, -66778?\nAnswer: -84025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvvkkvvavvv. Give prob of picking 1 a and 1 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 52, 122, 222, 352, 512?\n\"Answer: 15*d**2 - 5*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 37599180*c + 0*c**2 + 2*c**2 + 490*c**3 - 37599181*c - 2 in the form b + s*c + g*c**3 + f*c**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5757881603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*l + 155*l = -12888. Is l a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.52047l to millilitres.\nAnswer: 70520.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k + 18*k + 16*k - 793 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)*i*i**(2\/19))**(-8\/7)\/((i*(((i\/i**(-1\/2)*i)\/i*i*i)\/i)\/i)**(-22)*(i\/i**2)\/(i**(5\/4)\/i)) assuming i is positive.\nAnswer: i**(32293\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 0*s - x - 6445, -5*x = -4*s + 8597. Suppose -6*y = -2*y - s. Let z = -302 + y. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 280*x**3 - x. Let j be p(-2). Let u be (-2)\/7 - j\/42. Suppose 3*s - u = 58. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/78 - 2*n**3\/39 + 20*n. Suppose m(j) = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6012576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 != -8954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 2*x - 14, -2*k - x + 3*x = 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/4765425 and 109\/9135?\nAnswer: 14296275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44979604?\nAnswer: 2, 11244901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-78)\/(-12))\/(270\/(-360)) - (5 + 15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*380.\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t + 15 = 0. Suppose -4*d - 3 = -7*d. Let n(l) = -6*l + 0*l - d + l + 3*l. Give n(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/10*-1 + (-777)\/370?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrznzzararrk. Give prob of sequence rzka.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h + 22*h = 178500. What is h rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2121573395?\nAnswer: 5, 17, 827, 30181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(855\/(-18))*(-195)\/3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 18*w**2 - 25*w + 17. Let i be 4\/6 + (-450)\/27. Let g be h(i). Round g to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/15 + 9143\/7805\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 27*k**2 + 3246*k + 721. Let d be v(-120). Let u be ((-5)\/25)\/((-1)\/1). Let w be 1 - 1\/((-4)\/(-6)). What is the closest to u in w, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (7 + -7 - -5 - 0) + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 4*h - 4*h)*(-118 + 27 + 6)*(3 - 1 - 4) + (-4*h - 2*h + 4*h)*(1 - 6 - 5).\nAnswer: -150*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/43579 and 11\/7?\nAnswer: 305053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/7430 and -21\/55.\nAnswer: 81730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 2*t**3 + 2711 - 1468 - 1243 - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 29926513\nAnswer: -2992651.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 8*q + 5. Let o be t(-9). Suppose 19 = -3*i - o. Let r(k) = -k**3 - 11*k**2 - 9*k - 16. Is r(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (293*d - 26*d - 93*d)*(-3 + 4 - 2).\nAnswer: -174*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2283*t + 4518. Determine d(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-70)\/10 + 8)\/(1\/17). Is (-27652)\/(-6) + (6 - i\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g + 6. Let t(a) = 7*a - 7. Let v(k) = 6*p(k) + 5*t(k). Suppose 2*w + 3*w - 24 = 3*o, 0 = 4*w + 3*o - 3. Calculate v(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 493469 - 7?\nAnswer: 493462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 7*v - b + 903, v + 216 = -3*b. What is the fourth biggest value in v, 0.5, 1, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 55, 116, 219, 364?\n\"Answer: 21*h**2 - 2*h + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 5:31 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/17, 5, -2.2, -0.5, -272, -1.\nAnswer: -272, -2.2, -1, -0.5, -4\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4258018 and 3.\nAnswer: -4258015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48740 and 17517156.\nAnswer: 87585780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50.5 - -50. What is the nearest to 1\/5 in x, 0.09, 4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5301.\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/5 - (-2970)\/(-675) - (-432)\/62?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*n**3*o - 3*n**3 + n**2 + 2*n*o + 8 wrt n?\nAnswer: -204*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 55 = -18*j. Let x(s) = -5*s + 49. What is the smallest common multiple of j and x(6)?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**3 + 51*c**2 - 3*c**3 + 2 - 49*c**2)*(-8 + 3 + 2) to the form s*c**2 + y + j*c**3 + u*c and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 53?\nAnswer: -5\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/24*-34 + (-11125)\/13350?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15190 is divided by 949.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 22 = 4*w. Solve -15 = 5*l - 5*p, 0*p = 2*l - w*p + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -11. Let m = u - -7. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {i: 1, z: 3, h: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 754 and 13609518?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 10025 = 4319 + 31124. What are the prime factors of r?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(2\/25)*c*c))**27 assuming c is positive.\nAnswer: c**(-729\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.086*-378\nAnswer: -32.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 - 3?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - -0.46. Let r = x + -0.500002. Round r to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33149460?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2440 + -1533. List the prime factors of f.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314278?\nAnswer: 2, 7, 13411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-15)*j))**(2\/105) assuming j is positive.\nAnswer: j**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -25*i**3 - 11*i**2 - 11*i + 46. Let p(k) = -5*k**3 - 2*k**2 - 2*k + 9. Calculate -11*p(b) + 2*t(b).\nAnswer: 5*b**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 3, r: 1, o: 2, t: 11}. Give prob of sequence tqt.\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + -60.8. Let u = v + -0.15. Sort 0.2, u, 4\/7 in ascending order.\nAnswer: u, 0.2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39747?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**2 + x - 2. Let t be a(1). Solve t*h + 2 = -3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 5*h**2 + 2*h + 6. Calculate the remainder when 231 is divided by t(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -h + 23, 2*h - 29 = 4*i - h. Find the common denominator of 42\/i*13\/9 and -21\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 + 8763*a**2\/4 - 25596723*a\/4 + 24922675961\/4.\nAnswer: -(a - 2921)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 0 + (3 - 1). Suppose 5*k = 18 - 3. Let t = k - 1. Solve -2*o = -3*c - c + 12, 10 = t*c - r*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8170?\nAnswer: 2, 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2013 + (-10)\/(-20)*12.\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - -1.99. Let z = 11 - 11.2. Let b be ((-2)\/3)\/(-8 + (-396)\/(-54)). What is the third smallest value in -5, l, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -6, 2, -556, 101?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, t: 2, b: 5, m: 1, g: 1, e: 3}. Give prob of sequence ctc.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 4*u + 13, 8678*d - 8676*d + 16 = 2*u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4193?\nAnswer: 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(2760\/495)*(4 - 0)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Suppose -4 = b - m*b. Sort 1, b, 3.\nAnswer: b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-12))\/((-2)\/(-6)). Suppose -g = j*x - 23 - 1, g = -3*x + 19. Calculate the highest common divisor of x and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 1)*(-4*i**2 - 161*i + 161*i) to the form x*i**2 + g + m*i and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175\/108 - 10\/27. Let i = 6\/5 - -3\/10. Put z, i, -2\/15 in increasing order.\nAnswer: -2\/15, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6102953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 3)*(464*v + 457*v - 922*v - 30) as s*v + p and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 430 + -427. Let n = 1 - 0. Let b = s + n. Solve -5*z = -1 - b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*z + 807, 0 = -3*y - y - 4*z + 620. Suppose 11*j = 50 + y. Let m(g) = j*g + 7*g - 16*g. Let o(t) = 2*t. What is o(m(k))?\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poqpool. Give prob of sequence lq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.05784 millilitres to litres.\nAnswer: 0.00805784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000325593 rounded to 7 dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.2, 68604, -4, -1\/3, -3, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 6538?\nAnswer: 6538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9 + 2*h**5 - 15*h - 9 wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 220186.\nAnswer: -1\/110093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 633.39 + 15.61. Let t = 653 - a. What is the fourth smallest value in 0, t, -0.1, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 11:15 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4368 and 1222?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6618770 (base 9) to base 11\nAnswer: 2009714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 1, g: 1, w: 1, e: 1}. Give prob of sequence gzk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/6)\/2*0\/29. Let a(m) = m**3 - m**2 + 7. What is a(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 167*j**4\/6 - 19*j**3\/6 - 4*j**2. Let n be ((48\/(-28))\/2)\/((-3)\/21). Is r(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 minus -154620?\nAnswer: 154591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-9)*13581\/(-1006)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*b = -189*b + 6. Factor 12*s**3 + 15*s**3 + 16*s**3 - 46*s**b + 36*s**2.\nAnswer: -3*s**2*(s - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1379*c**5 + 877*c**2?\nAnswer: -82740*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3451*y - 13836. Give z(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z - 900. Determine g(-47).\nAnswer: -1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n + 4. Let u be r(3). Let b = 28 + u. Calculate the highest common factor of b and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80060038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -527 or 5\/123?\nAnswer: -527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.995 - 16. Round b to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 + 9*b**2 - 8*b + 6. Let p be t(3). What is the derivative of 158*k + p*k - 217*k + 16 wrt k?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/7)\/((k\/(k*k\/(k*(k**1*k)\/k)))\/k)*(k**(2\/3))**(-3\/10))**(4\/9) assuming k is positive.\nAnswer: k**(32\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0400474806 rounded to five decimal places?\nAnswer: 0.04005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -18434?\nAnswer: -7373.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/4 - 56891*y**3\/4 - 809970879*y**2\/4 - 23448154509*y\/4 - 24249652830 = 0.\nAnswer: -28431, -24, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r - 4. Let f be s(3). Let d be (2\/(-4))\/((-1)\/f). Suppose -28 = -d*n + 3*n. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 15. Suppose 4*a - 5 = j. Solve w - 3*t + 15 = t, 0 = -a*w - 2*t - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 14 + 1 + -2. Let y(r) = r**3 + 3*r**2 - 7*r - 1. Let i be y(-4). Let c = l - i. Calculate the least common multiple of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + -14. Let r = o - -60. Suppose 7*f = 3*f + r. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 2*f + 3*i - 5, -5*f + 220 = -2*i. Suppose 18*g - 7 = 29. Calculate the lowest common multiple of g and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9639 and -9638 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -1. Let o(l) = -2*l**2 - 1 + 10*l**2 + 17*l**2 - l. Let x be o(a). What is the greatest common factor of x and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 5339 = 11*l - 6670, -4*a - 436 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1123*p**3 + 2018*p**3 - 892*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {k: 3, n: 3, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.546 * -0.0497.\nAnswer: -0.0271362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151*v*z**4 + 2*v*z**2 - 21*v*z - 7*v - 2060*z**5 - 11*z**2 + 4*z wrt z.\nAnswer: -3624*v*z - 123600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:24 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i*j*v**3 - 21*i*j*v + 4*i*j + 15*j*v**4 + 19*j*v**3 + 2*j*v**2 wrt v.\nAnswer: 18*i*j + 360*j*v + 114*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -5*n + 22, 4*n = d - 0*n + 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 539205 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21444 + 30840. What are the prime factors of c?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2382, 2377, 2370, 2361, 2350, 2337?\nAnswer: 2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**5 - 350*f**4 + 3366*f**3 - 10978*f**2 + 14560*f - 6600 = 0.\nAnswer: 1, 2, 5, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 2497*p - 34. Determine d(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1584650 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.095 - 3.095. Suppose -2*j = -3*t + 26, 0*j - 5 = -j - 3*t. Let h = 4 - 4. Put v, h, j in ascending order.\nAnswer: j, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + 1)**2 + -4 - (sqrt(72) + (sqrt(72) + sqrt(72)*2)*-4))*5 + -4)*6 + -3.\nAnswer: 2043 + 2340*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284400 divided by -380?\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 + 2*w**2 - 4*w**2)*(3*w**3 + w**3 - 2*w**3) + 0*w**5 - 3*w**5 + 2*w**5 + 0*w**2 + 0*w**2 + 2 + w**5 + (2*w + 4*w - 12*w)*(-3*w**4 + w**4 + w**4).\nAnswer: 10*w**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280003*m = 279980*m + 253 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 + 470*z + 6250. Calculate p(-142).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11*(101724\/1666 + 2\/68*-2). What is the highest common factor of 880 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1833226493 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmhgmmgjghmhjmmghg. What is prob of sequence mjj?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.1 + 14.6. Let h = -323\/28 + 86\/7. Let y = h + -1\/12. What is the nearest to 1 in y, -0.1, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j - 1. Let o = -12 + 11. Let l be n(o). Suppose -l*b = -2*h - 10, -4*h = -5*h + 3*b - 5. Let i(u) = -u**3 - 6*u**2 - u + 2. Give i(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 13*r**2 - 4*r - 24. Let q be k(-13). Suppose -4*c - q = -12. What is the tens digit of -62*(-3)\/(7\/((-14)\/c))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-8)*16\/(-3). Let q = 13 + x. Factor -2\/5*i**4 - 1\/5*i + 1\/5*i**q + 2\/5*i**2 + 0*i**3 + 0.\nAnswer: i*(i - 1)**3*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3\/4, -236, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.177 - -0.023. Sort v, -4, 2 in increasing order.\nAnswer: -4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.5 - 13. Let r = -4720.04 - -4720. Let w = 8814\/19 - 464. Which is the closest to r? (a) w (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 133 + -137. Sort v, -5, 0 in descending order.\nAnswer: 0, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2516 and 272.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 117*i + 3 + 281*i - 125*i - 3 as c*i + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -4, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16843\/78 - 6822\/13. Let n = r - -1251\/4. Let x = 4231 + -59267\/14. What is the common denominator of x and n?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-5))\/(2\/(-15)). Let k = 7 + w. List the prime factors of -3*k\/(-3) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1976*u**2 + 948*u**2 + 992*u**2.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 115*c - 540.\nAnswer: 5*(c - 27)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 4*x - x + (-9 - 6 + 5)*(x + x - x) + 4*x - 3*x + 2*x in the form s + q*x and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16015591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(847) + sqrt(847))*6 - sqrt(847))**2 + sqrt(847))*3.\nAnswer: 33*sqrt(7) + 429429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*z + 640*z**2 + 246*z.\nAnswer: 640*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9158 and 33431.\nAnswer: -30616.1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 5, -0.18, -0.2 in decreasing order.\nAnswer: 5, -0.18, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1408 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 11300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -8 + (2 - 3 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-2*d + 0*d + 3*d) + (-5 + 3 + 6)*(97 + d - 97).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.111 + 1.109. Let z = 2423\/5 + -484. Which is the third biggest value? (a) z (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 20 (b) 182.4 (c) -1 (d) -2 (e) 4\/7 (f) 0.5 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/35 - (-23)\/((-1150)\/(-60)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9788 + -9407. Calculate the lowest common multiple of 894 and n.\nAnswer: 113538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 10*h + 4. Suppose 4*z + 0*z = 60. Let g = z - 25. Let v be f(g). Solve -3*j = v*o + 3 - 20, 3*j - 13 = -2*o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9.351737s?\nAnswer: 9351737000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgtdzydggytg. Give prob of picking 1 t and 1 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 2583. Let j(m) = 8*m**2. Determine k(j(s)).\nAnswer: -24*s**2 - 2583","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 345 - 573 = 0. What is the remainder when c is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174766132318 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3747 + 3825. What is the remainder when r is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411877 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(385))\/sqrt(11))\/(sqrt(175)*-3))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 305593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-7) + (-209682)\/(-189)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.2 + 12.8. Is 1\/2 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 1. Let f be y(2). What is the remainder when 49 is divided by f*(-3 + (-44)\/(-6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 26*g**2. Let p(o) be the second derivative of o**3 + 151*o. Determine p(r(a)).\nAnswer: 156*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1034 (base 8) to base 7\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 88. What is p(-7)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 1 = 11. Suppose 2*h + 19 = 3*l + x, 5*h = -l - 17. Let v = l + 5. Solve -r = r - v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -531 + 1380. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 1118495 = 5292329. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 32 = -5*p, -2*p + 3*v = -18 - 2. Suppose 2*n = -10, -n = -4*u - 2*n + 7. Factor -2\/11*k**p + 0*k - 2\/11*k**u + 0 + 0*k**2.\nAnswer: -2*k**3*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.00189 + -0.0018129. What is o rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*a + 186 = 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 16*x**2 - 17*x + 15. Let s be h(17). Suppose 5*u = 9 + 141. Calculate the greatest common divisor of u and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -43. Suppose 4 = -o*q + 4*q. Suppose -5*j + 0 = -20. Solve -q*x - j = -0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (2 - 1 - (-1 + 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*d + 127*d = -84. Let r be (2 + 5)\/((-1)\/(-1)). Let c = r - d. Solve m + c - 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -521497*p**5 + 261301*p**5 - 6949*p + 266267*p**5 wrt p?\nAnswer: 121420*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 32*s**2 - 78*s.\nAnswer: -2*s*(s - 13)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 1. Suppose -3*d + s - 4 = 0, 9 - 7 = 2*d + 4*s. Let x(b) = -2*b + 6. Give d*x(m) - 6*t(m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 76.56129 decades?\nAnswer: 765.6129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7167)\/(-9) - 4\/(-6)?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -55*r. Let z(x) = 39*x**2 - 9*x**2 - 15*x**2 - 14*x**2. Calculate f(z(w)).\nAnswer: -55*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = -2*n + 13, 1 = -l. Find the second derivative of -n*w + w - w**4 + 3*w wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 120*o - 123*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-4)\/(-2)) + -1. Let k be ((-30)\/12)\/(r\/2). Suppose 5*d + 60 = k*a, 4*a - 5*d - 50 = -2*d. Calculate the remainder when a is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 + 4*u + 14. Let d(x) = -x**2 + x. Let f(o) = b(o) + 2*d(o). Let g be f(-4). Suppose -g*m + 12*m = 1254. List the prime factors of m.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.41 + 2.3. Let s = f + -0.19. Which is the third smallest value? (a) -5 (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 6924?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/9 and -9\/368.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13*x + 3. Let t(g) = -24*g - 4. Let s(q) = -6*t(q) - 11*w(q). What is s(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.041 and 93413.8.\nAnswer: -3829.9658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*a - 1555 = 915 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11.9 * -0.3\nAnswer: -3.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 600252 divided by -3?\nAnswer: -200084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 5*w**2 + 12*w. Suppose -11 = 11*g + 33. Let f be g\/3*(8 - 2). What is the units digit of k(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225398 is divided by 341?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4548680.\nAnswer: 2, 5, 113717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 30*p - 14. Is q(16) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f**2 - 2*f)*(-2 + 2 - 2) + 4*f - 4*f - 2*f**2 + (3 - 3 + 3 - 3*f)*(-2*f + 2 + 2*f - 3*f).\nAnswer: 11*f**2 - 15*f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (204\/170)\/(1\/((-30)\/4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2110 divided by -35.\nAnswer: 422\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9617553 minutes in days?\nAnswer: 0.000667885625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 25649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*u + 13. What is the remainder when 66 + -5 + ((-9)\/u)\/3 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 17 = 4*g, -5*g - 37942 + 37877 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + -9. Let o = t - -16.000018. What is o rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 - 11100110?\nAnswer: -100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4061137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 1) + (8 - (13 - 3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13 + 6*c + c**2 + 14*c + 3 - 5*c. Let y be g(-14). Solve -y*m - 11 + 19 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -325 - -532. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*u + 6. Solve k - 3 = -u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49902 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 4. Let d be m(3). Let b = 2 - d. Let u be -1 + 1 + (b - -1). Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109850844721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43684*l + 43679*l + 55 = 0 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + sqrt(110)*1*5 + 3*sqrt(110)*3)\/(5*(-1*sqrt(80))\/sqrt(8)*3).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 651345, 1302680, 1954015?\nAnswer: 2605350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224b8d (base 14) to base 6.\nAnswer: -40552533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 22*a**2 + 14*a**2 - 5*a + 2*a**2.\nAnswer: 38*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**5\/20 + 2*q**4\/3 + 5*q**3\/2 + 3*q**2 - 47*q. Let b be t(-5). What is the greatest common factor of b and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -267.78 + 267.68. Which is the biggest value? (a) g (b) -5 (c) -1\/6 (d) -3 (e) -260\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0*t**3 - 305\/24*t**4 - 24\/5*t**5 - 2*t**2 + 0*t + 8. What is the second derivative of n(f) wrt f?\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -417*o + 382. What is i(1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 797\/1200 - -1\/400. What is the third smallest value in 11, 1, w, 0.5, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 5, b: 13}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wghhgwwh. Give prob of picking 3 w and 1 h.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -13*j**5\/5 - 74317*j**4\/10 - 26559394*j**3\/5 - 18378369*j**2\/10 = 0.\nAnswer: -1429, -9\/26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246140 and 393080.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 4 - 45 - 3*b - 15)*(15*b + 62 - 62).\nAnswer: 15*b**2 - 840*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -415\/665462 + -212723086131\/28614866. Let l = -7434 - x. Let q = -1198\/903 - l. What is the third smallest value in 1, 2\/5, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.19409973 rounded to 2 dps?\nAnswer: -4.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 2 (c) -16.2 (d) 0.1 (e) 0.3 (f) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a decade in years?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28586 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 49 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + 2*sqrt(85)*-4 + sqrt(85))\/(sqrt(10)\/sqrt(2)*5)*-5*-1 + 1.\nAnswer: -6*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 2*p**3\/3 + 20*p**2 + 43*p - 3. Let s be g(-19). Let u = -0.03 + -0.07. What is the nearest to u in -3, 3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 14) + 295 + -295\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 380208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 5*v + 0*v - v - 3 + 3 - 3*v + 3*v + 2*v + (-3*v + 6*v - v)*(-2 + 7 - 3) + 0 + 0 + v + 5*v - 4*v + 4*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, 2909179 in decreasing order.\nAnswer: 2909179, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o**2 - 8*o**2 + 4*o**2 - 1)*(-3 + o + 3) to d*o + v*o**2 + r + n*o**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-29808)\/(-1173))*-8*1?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 13*b**2 - 11*b + 7. Give k(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7138, 6762, 6116, 5194, 3990, 2498?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.00575 milligrams in grams?\nAnswer: 0.06500575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 52. Let b(u) = 10*u**3 - 6*u**2 - 3*u. Let t(a) = 29*a**3 - 17*a**2 - 8*a. Let c(f) = l*b(f) - 4*t(f). Give c(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/90 and -5\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17830 and -2?\nAnswer: -35660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -t - 20, 4*c - 4*t + 27 - 11 = 0. Let j be c - (0 + -9)\/3. Let z = 0.4 + -0.36. Is j not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2407022884?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*d + d, 2*d + 3*p - 5 = 0. Let h(q) = -q + 3. Is h(d) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 293896.99 to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) -1\/5 (c) 197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4 - 2*n**2 + 2*n - 16*n - 11*n - 24. What is the tens digit of l(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3659 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**2 - 194*q - 98 = 0.\nAnswer: -1\/2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - ((-12 - 13) + (27 - -17))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.81 - 2.\nAnswer: 12.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1\/(-7)) - (-22)\/(-253)*-23 - -4. Let m = 5 - 8. Which is the third smallest value? (a) i (b) m (c) 0 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -14231?\nAnswer: -1423.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157440893233 + 157440893091.900000909. Let p = 141.1 + l. What is p rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 139*t**2 + 2*t + 6. Let g(y) = 553*y**2 + 8*y + 23. Give -2*g(n) + 9*z(n).\nAnswer: 145*n**2 + 2*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 732 = 442*y + 491 - 1085. Factor -3\/2*g**y + 0*g**2 - 3 + 9\/2*g.\nAnswer: -3*(g - 1)**2*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000290752789 to seven decimal places.\nAnswer: -0.0002908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 4 - (-72)\/4. Let s(c) = -c**2 + 15*c + 2. Let l be s(x). Suppose 5*o - 18 = l. Solve -2*u = -k - 5, -o*u + 3*k + 20 = -k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-32)\/36)\/((-24)\/108)*3?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - c**2 + 2*c + 1. Let l be w(-2). Let v be (-42)\/(-6) + 1\/1. What are the prime factors of (v\/3)\/(6\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2025.1 rounded to the nearest ten?\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*y + 60203080 = -23449734 - 31489009. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 10:38 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40696 - 9901. What is the ten thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Suppose 3*w - 5*a + 16 = 0, 0 = 5*w + 3*a + g*a - 40. Let o(y) = 4*y - 3 - w - 6*y + 5. Let b(t) = -6*t - 3. Determine 4*b(i) - 11*o(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 1, u: 2, v: 1, w: 1, n: 1}. What is prob of sequence uwe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*w - 2126, 17*w - 19*w = 3*i - 2150. What are the prime factors of w?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c + 3*c - c**2 + 8 - 4. Let d be a(4). Let n = 29 + d. Calculate the remainder when 25 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1174*l - 11311. Let u be a(10). What is the second smallest value in u, -3\/4, -1\/2, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000477 rounded to 7 decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 1c25?\nAnswer: 1c2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-29797)\/(-59) - (-2 - 3). Let h = -510 + m. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 5, 0, 4, -804, 3, 2 in descending order.\nAnswer: 104, 5, 4, 3, 2, 0, -804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -12 - (-65 + -2) - -3) + 56 + -53\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4720 and 140125?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/4*1*(-32)\/12. Solve -z = 7*a - 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 1 + 4*t + 5\/2*t**2 - 1\/3*t**3. What are the prime factors of q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 + 0.19. Suppose 5*m - m + 3*c = -49, 0 = 3*m - 5*c + 15. Put 0.5, m, x in increasing order.\nAnswer: m, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -575512, -1151053, -1726594, -2302135, -2877676?\n\"Answer: -575541*b + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a)\/((a**(-2\/23)\/a)\/a)*a\/(a\/(a**(-2\/5)*a))*a**(-7)*a)\/((a**(1\/6)\/a)\/a**(1\/10))**(-8) assuming a is positive.\nAnswer: a**(-4064\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/249792 and 43\/24?\nAnswer: 249792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/39 (b) 1\/37 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3865 - 2008. List the prime factors of f.\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**5\/60 + i**4\/24 - 25*i**3\/6 + 21*i**2\/2 + 42*i. Let v(j) be the first derivative of a(j). Calculate v(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01931 rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 28086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.2 (c) -1.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:27 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*s**3\/5 - 1035100*s**2 + 30722312*s\/5 + 2036832\/5 = 0 for s.\nAnswer: -21217, -4\/61, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-4)\/(-7)))\/(35*(-26)\/260).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 0. Is ((-132)\/(-10))\/((-2)\/u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 210665670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85393.\nAnswer: 7, 11, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -103493 - 103488 + 25688*n + 206981 in the form q*n + w and give q.\nAnswer: 25688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 6. Let z be d(-6). Suppose -r + 3*r = z. Suppose 3*c - 40 = -8*q + 3*q, -c = r. Calculate the highest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 3:58 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p**2 + 62*p - 11. Let l be a(-8). Differentiate -13 + l*m**3 + 233*m - 224*m + m**2 - m**2 wrt m.\nAnswer: 15*m**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/6)\/((-8)\/(-12)*-3). Let c be (-18)\/(-8) - (-1 - -3). Let -c - 1\/4*d**3 + 1\/4*d**2 + g*d = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1475 and 450?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*b + 8 = 0, f - 4 = 5*b - 6. Solve -2*p + f = 3*s, -p - 2*p + 14 = 5*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -60857, 18, 1\/5?\nAnswer: -60857","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.2, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 19*i + 42 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6) + 52\/6. Suppose 0 = 8*t - 4*t - k. Suppose 2*j = t*p - 6, 0 = 4*p + 7*j - 2*j - 57. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = 2*v + 2*k, -6*k + 343 = v - 3*k. Let z = -343 + v. Solve 4*q + 6 = 2*x, 5*x - 17 = -z*q - 41 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -12*t**2 + 66*t + 322. Calculate p(-5).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 225, -279?\nAnswer: -279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-21) - (-308)\/735.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(-1\/12)\/l)*l)\/l)\/l*l\/(l\/l**(-1\/6)*l))**(-30) assuming l is positive.\nAnswer: l**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22023203101 + 10?\nAnswer: 22023203111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k - 8 - 8. Let u be ((-12)\/(-12))\/(k\/(-4)). Solve -3*v = u*v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from {z: 4, b: 1, p: 1, s: 1, m: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 168 (base 11) to base 12\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2505830*f**2*l**2*s**2 + 2*f**2*l**2*s - 13*f**2*l*s - f**2*l + 61*f*l**2*s - l**2*s + 22*l*s wrt s.\nAnswer: -5011660*f**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526704663.\nAnswer: 3, 31, 5663491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -0.1, 24, -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(12\/4 - 4) - -4. Let a(h) be the third derivative of -h**4\/8 + h**3 - h**2. What is a(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -52. Let f be (-2 + z\/(-35))*-20. Let s = -49 + f. Which is smaller: 2\/9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, -4, -6.\nAnswer: -118, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12128*h - 12318*h = 6650 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -m + 4*c, c + 0*c - 1 = 0. Let k = 29 + -19. Calculate the remainder when m is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142 - -194. Is 24 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000220559 to 7 decimal places.\nAnswer: 0.0000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 213328 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26573 < 26590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 5a06?\nAnswer: 5a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 33\/14 and 148 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s + s**4 + 5*s**2 - 7*s**2 + 1 - s + 4*s to the form z*s**3 + l*s**4 + h + g*s + o*s**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 13*s - 9*s - 3*s**2)*(-2*s - 2*s + 5*s).\nAnswer: -3*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6327)\/148*60\/(-135)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g + 4*g - 10*g**2 + (3 - 3 + 1)*(-3 + 3 - g**2) as p*g + h + q*g**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(25\/12) + -2. Let m = 66962 + -468738\/7. Put y, m, 0.1 in descending order.\nAnswer: y, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4730996 years?\nAnswer: 0.0004730996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95642.16 hours to nanoseconds.\nAnswer: 344311776000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + (41 + -142 - -85) - (-125 + -1).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0406 * 30.\nAnswer: 1.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58074, 116099, 174030, 231819, 289418, 346779, 403854?\nAnswer: 460595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 15\/2*s**2 + 0 - 5*s + 1\/6*s**3. Give z(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 3:34 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 328876926 and 294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 30*v = 309. Suppose 70*l - v = 67*l. Calculate the remainder when l is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-11)\/(99\/45))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 56*h**2. Let z be l(1). Let -46*m + 29*m - 48 - 83*m - 4*m**3 - z*m**2 = 0. What is m?\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013341312 (base 5) in base 13?\nAnswer: -582512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -0.5 (b) -4 (c) 188 (d) 1\/5 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, v: 5}. What is prob of picking 2 v?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -110323301 (base 4) in base 13?\nAnswer: -3004a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 4*a**3\/3 - a**2 + 2*a - 6. Let q be b(1). Solve q*p - 2 = 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -814932 in decreasing order.\nAnswer: 5, -1, -814932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-2*f + 0*f + 0*f) + (-1 + 2 + 2)*(-3*f - f - 5*f).\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 62.2. Let v = 22 - m. Are v and 3\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35293, 70573, 105853, 141133?\n\"Answer: 35280*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 t when three letters picked without replacement from {t: 2, o: 2, r: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*o - 3846 - 2620 + 2540 = 0 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -385 + -77?\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 9) to base 6.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.5 times -5?\nAnswer: -77.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1848 divide 74372867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1714 = -2*i + 1280 + 90. Which is smaller: -0.8 or i?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 23*c**2 - 21*c - 22. Let r be j(22). Let f(z) be the third derivative of r + 0*z + 0*z**3 - 5\/24*z**4 - 3*z**2. What is f(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*k**5\/3 + 650*k**4\/3 - 968*k**3 + 392*k**2\/3 + 32*k\/3 = 0.\nAnswer: -4, -2\/35, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -w - 4, 5*w + 14 = -5*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-364)\/588)\/((-39)\/108)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 3*m**8\/14 + 2*m**7\/7 - 110*m**4\/3 - 6*m - 16. Find the third derivative of k(g) wrt g.\nAnswer: 1440*g**3 + 720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**(4\/15)*y))\/(y\/(y\/(y**24\/y))*y) assuming y is positive.\nAnswer: y**(-364\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w - 5*w)*(11 - 9 + 21).\nAnswer: -92*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 762413 - 61*a + 762410 - 1524823.\nAnswer: -61*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*v - 64, 5*v = 39*h - 38*h + 4. Solve -4*n + 12 = 5*b - h, -2*n - 16 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g**2 + 25*g**4 + 4*g**2)*(-3 + 3 + 2) to b + i*g**3 + z*g**4 + x*g + p*g**2 and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 37*v + 10. Let o(d) = 25*d + 7. Determine 7*o(i) - 5*t(i).\nAnswer: -10*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -575*v**2 + 9*v - 11?\nAnswer: -1150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 229464179?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375099.\nAnswer: 3, 97, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -48*d**3 - 835694*d**2 - 1914908*d - 487424 = 0?\nAnswer: -17408, -2, -7\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -175.15014063 - -26.15014673. Let a = -149 - j. What is a rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.94 - -2042276005\nAnswer: 2042276004.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h - 47 = 0. Suppose 93 = 5*i - h. Suppose 0*a + 4*a = i. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2922\/8 - (-35)\/(-140). Suppose -q + 30 = -67*v. Find c such that 0*c**2 + 0 + 0*c + 0*c**3 - 10*c**v - 4\/3*c**4 = 0.\nAnswer: -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32735.\nAnswer: 5, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5670 and 15414.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by -75*(-11)\/(198\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 1219071094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336926 is divided by 3063.\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - -33. What is the remainder when a is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 25*p**2 + 16*p + 8. Let u be q(18). Let o = u + 20505. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1203 + -1108. What is the remainder when g is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*f*l**3*t - 2*f*l**2*t + 2*f*l*t - 161*f*t - f + 55*l**3 - 8*l*t - 2*t wrt l?\nAnswer: -144*f*l*t - 4*f*t + 330*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 90 = -2*m. Let u be (-10)\/4 + m\/6. Solve -r - 5 = -u*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21567234 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8961 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -510 - -509. Let v(n) = -5*n**2 + 2*n - 2. Let f(h) = -h**2 - h + 1. Determine d*v(w) - 2*f(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**1)**(-41)*i\/(i\/((i*i**(-1\/3))\/i))*i\/i**(-1\/4))\/(i\/(i*i**0)*i*i\/((i*i*i**(-2\/7)*i*i*i*i)\/i))**48 assuming i is positive.\nAnswer: i**(4133\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1877 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14897134 at least as big as 14897137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -371 + 463. What is the remainder when r is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -28 + (0 - 1)*3. Let y = i - -117. Is 11 a factor of 9\/36 + y\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r + 1. Let f be b(0). Suppose 4*h = -0*h + 12. Solve -h*u - 11 = f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*l = -8. Let x be ((-2)\/(-6))\/(l\/(-12)). Solve 3*m - 2 = x*h, -4*h - 16 - 4 = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = 0, s - 3 = -w - 0*w. Calculate the remainder when 375 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.4, -6554.8, -2.411?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42013.\nAnswer: 42013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -684\/17, 5\/3, -0.3, 0.2 in ascending order.\nAnswer: -684\/17, -0.3, 0.2, 1.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 + -96. Suppose x*d - 1 - 23 = 0. Suppose -3*c - n + d = -12, -2*c + 4*n + 4 = 0. Calculate the lowest common multiple of 8 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*g**3 + 448*g**3 - 479*g**3 + 2*g.\nAnswer: -308*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4786124 and 24?\nAnswer: 28716744","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (9572 + 2468 + 1567)*(-d**2 + d + 0*d + 0*d).\nAnswer: -13607*d**2 + 13607*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 9. Suppose -10 = 5*d, 3*d + 41 = -3*b + 14. Let f = y - b. Calculate the least common multiple of f and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 320993, 641967, 962919, 1283837, 1604709, 1925523, 2246267, 2566929?\n\"Answer: -2*l**3 + l**2 + 320985*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120521 - 120521 - 477439*w.\nAnswer: -477439*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 228.1861783 to zero decimal places.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/5 + 78*s**4\/5 - 708*s**3\/5 - 3904*s**2\/5 + 9216*s + 147456\/5 = 0. What is s?\nAnswer: -6, -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - (-12605)\/25) + (-12)\/(-15). Let w = 1392 - f. Suppose 5*n - w = 1063. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1296113*p**2 + 1687692.\nAnswer: 2592226*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 735657251 to the power of 1\/2, to the nearest integer?\nAnswer: 27123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + ((sqrt(1700) + 1)*6 + 5 - (-5*(sqrt(1700) + 0) + -2*sqrt(1700)*5))*1)**2.\nAnswer: 40320*sqrt(17) + 4499736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 155\/424 - -1\/106. Suppose 5*w = -2*h + 1, 0 = 4*h + 5*w - 0*w + 23. Let l be 64\/h - 4\/(-12). Which is the nearest to -1? (a) l (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) 11 (b) -12 (c) 8868\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 7474?\nAnswer: 2\/3737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 6*c + 5. Let w = -86 + 122. Calculate the highest common factor of c and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 869634 divided by -6.\nAnswer: -144939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 145900022347 + 145900022347.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 232890 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -555*r**3 - 4034*r**2?\nAnswer: -3330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 7:29 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/404230 and -83\/26274950.\nAnswer: 26274950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1569030407?\nAnswer: 7, 179, 1252219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/36 + 84719\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -579423 times -0.0599\nAnswer: 34707.4377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*q**2 - 24*q**2 - 12*q**4 + 21*q**3 + q + 5*q**2 in the form g*q**3 + t*q**4 + o*q + w*q**2 + k and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*g**2 + 69*g**2 - 6*g + 7*g + 3*g**4 + 3*g**3 - 1 to the form m*g**2 + w*g + j*g**3 + l + s*g**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29370 + 82315. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(2 + -1 + (1 + sqrt(242) - sqrt(242)) + -2*(sqrt(242) + 2 + sqrt(242))))**2.\nAnswer: 1584*sqrt(2) + 34887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 = -4*w - 4*k, 0 = -4*w + 4*k + 16. Let d be 11 - (w + -7)*-1. Calculate the highest common factor of d and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003059 to 7 decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = 89*z + 5*h, 3*z - 49 = -1007*h + 1012*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 7.83?\nAnswer: 0.0783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.929 rounded to one decimal place?\nAnswer: -17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1405 - -1404.7. What is the second smallest value in -23, 3\/4, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 7. Determine o(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, 128, 367, 712, 1169?\n\"Answer: r**3 + 44*r**2 - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15786593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2 + 10 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**5 - 851004*u**4 - 90525124992*u**3 + 181053654016*u**2 = 0.\nAnswer: -212752, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 732668?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5 + 9*x + 4 + 10*x. Let f be d(1). Suppose -2*n + 0 = -f. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191 + 216 - (0 - -42).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 - 14*b**3 - 8*b**3 - 3104772*b**2 + 3104775*b**2.\nAnswer: -28*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 - 6*c**3 + 1 - 3*c + 0*c**3 + 6*c**3 + c**3. What are the prime factors of f(6)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 - 30785 + 30785.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2 - 4*v + 2. Let h(b) = b**2 - 1. Let p(g) = -a(g) - 4*h(g). Suppose -236 = 3*z - 7*z. Let u = -54 + z. What is p(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (25\/((-1400)\/(-48)))\/(4\/14). Let q = 5 - -59. Suppose 2*n = -4*z + q, 0*n + n + 48 = y*z. What is the highest common factor of z and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 + 21 = 0. Let p(d) = 30*d + 753. Let j(a) = 11*a + 275. Let n(f) = -11*j(f) + 4*p(f). What is n(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 1. Let u(n) = 2*n**2 - 12*n - 8. Let f be u(6). Let w be (2\/f)\/(25\/20). Which is the nearest to 1\/2? (a) w (b) 2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2*u - 5*u - 3, -5*u - 43 = -3*f. Suppose 0*l - 3 = -l, 2*l = b - f. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * 0.5\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 8*h - 13. Let i(b) = 3*b - 10. Let j be i(5). Suppose 27 = -j*p + 7. Let m be w(p). Solve 2 = -m*u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2cd5b (base 15) to base 5\nAnswer: 14113021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 20. Suppose -3*x + l*x - 88 = 0. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 minus 1545.939211?\nAnswer: -1559.939211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1829.4849 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/467095 and -113\/13200?\nAnswer: 1233130800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 250*m + 322. What is the thousands digit of n(35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7426 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-90*v**2 + 247*v**2 + 44*v**2)*(2 - 5 - 1) - v**2 - 3*v + 3*v to the form x*v + p + b*v**2 and give b.\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -34.1. Let u = -0.1 + 0.05. Is u at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12805 and 2015?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 875*k**3 - 1264*k**3 + 796*k**3 + 1 to the form n*k**2 + c*k**3 + i + y*k and give c.\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310, -330, -356, -382, -402, -410?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/6)*(-16)\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3347 = -23*r + 2173. What is the least common multiple of 48 and r?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 343133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:07 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*8\/(-32))\/((-3)\/(9\/3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1054.71 - -364.71. What is the nearest to 2\/3 in 1, -3, 2\/9, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -231*n**5 - 230*n**5 - 3*n**2 + 467*n**5 - 3*n + 3*n - 2*n**5 + 0*n**5 + n**5 + n**5 + (1 - 3 + 1)*(-4*n**5 + 0*n**5 + 3*n**5).\nAnswer: 7*n**5 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -11. Suppose -q*y - 2 = 6. Does 21 divide (-225)\/y + (-1)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60889.3 * 0.3\nAnswer: 18266.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 70. Let w = 30 + g. Which is the closest to 1? (a) -0.1 (b) w (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1015*w**2 - 174*w - 174. Let g(b) = 29*b**2 - 5*b - 5. Calculate 174*g(r) - 5*y(r).\nAnswer: -29*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**5\/20 - n**4\/12 - 5*n**3\/6 + 2*n**2 + 9*n - 24. Let c(q) be the first derivative of l(q). Calculate c(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -857 - -1297. Suppose 5*a = -5*v + i, a + 4*v - 94 = -12. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n - 3*n - n)*(5 - 2 - 2) - 3*n + 3*n - n + 6*n - n - 3*n - 6*n + 3*n + 4*n + (-77 - 19 + 30)*(n + 2*n - 4*n) in the form l*n + f and give l.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3*4\/6 and 1*18\/12*58\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 = 904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 403 and 234546.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 38783*s + 3888304. Give q(100).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47025 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n**3 - 104*n**2 + 688*n - 5640. Calculate m(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7898599 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 10 - 4 + l**2 - 4*l**3 + 3*l. Let c(z) = -11*z**3 + 3*z**2 + 11*z + 17. Suppose -14 = m - 5*i, -4*m + 26 = -2*i + 10. Give m*c(o) - 17*d(o).\nAnswer: 2*o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 4 = -216*h + 620. Suppose 0 + 12\/5*v**4 + 0*v - h*v**3 + 3\/5*v**2 = 0. Calculate v.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 99.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 - -96. Suppose -4*y - v = -5*q + 11, 8 = 2*y. What is the greatest common divisor of q and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1789 - -1786. What is the smallest value in y, 170, 10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.05 (b) 0.2224 (c) 2\/5 (d) -4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4333 times 0.05?\nAnswer: 0.021665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/80)\/(66\/(-3135)*19).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 74*n**2 - 224*n + 89. Calculate s(-77).\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 420?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-85))\/(248\/310)*(-12)\/9. Let i = -6.2 - -6. Let q = i + 0. What is the third biggest value in 4, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2189354043 to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 7*y - 9. Suppose -28 = 2*d - 16. Let u be o(d). Sort -5, u, 4 in increasing order.\nAnswer: -5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.99 + 0.01. Let w = -2 + h. Let q = 44 + -181\/4. Which is the third biggest value? (a) w (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 6*f - 24. Let k be i(-9). Suppose -k*r = -5*z - 23, 0*r + 4*r = -2*z + 22. Sort -2, -5, r in decreasing order.\nAnswer: r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a + 8*a - 9*a + 30*a in the form o*a + f and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9444278 divided by -3\nAnswer: -9444278\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 - m - 7. Let j(v) = -11*v**2 + v + 14. Let f(z) = 6*j(z) + 13*t(z). Let k be f(-5). Solve -k = 4*l + 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2131 = -2125. Factor 2*o**2 - 1 - 16 - 10 + 12*o**v + 8*o + 3 + 2*o**3.\nAnswer: 2*(o - 1)*(o + 2)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4962 is divided by 191.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 215403 (base 10) to base 13\nAnswer: 77076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8)*(-60)\/25)\/3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orro when four letters picked without replacement from rorroooo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(189\/28))\/((-256)\/(-4032))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 47251 = -5*m + 130585, 0 = 4*m - 8*x - 66628. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112\/3 + 37. Let q = 0.801 + -0.301. What is the third smallest value in q, 1\/6, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2516, 5058, 7626, 10226, 12864, 15546, 18278, 21066?\nAnswer: 23916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 8.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 221 by -12543.\nAnswer: -221\/12543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooocoocoooocooo. Give prob of sequence cocc.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 28 + 9 - 124293*i**2 + 11.\nAnswer: -124293*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3834 minus 2105?\nAnswer: -5939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0266 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -107360480*t - 391084403?\nAnswer: -107360480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(5) + -4 - (-5 + sqrt(80))) + (sqrt(30)\/(1*sqrt(6)) - sqrt(5) - (sqrt(5) + 0 + 1)))**2.\nAnswer: -8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*u = -1, 4*u = -5*z - 0*z + 14. Let h(a) = -121*a**z - 15*a + 15*a + 122*a**2. Let q(w) = -7*w**2 + 5*w**2 - 19*w**2. Give h(q(k)).\nAnswer: 441*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/17 - 5424*b**2\/17 - 3682890*b\/17 - 7344100\/17.\nAnswer: -2*(b + 2)*(b + 1355)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.4 (b) -0.2 (c) 0 (d) 2\/3 (e) 36207 (f) 1 (g) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 85 (c) 3\/8 (d) -0.03 (e) -1 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 15*k**2 + 7*k - 28. Calculate the remainder when a(-14) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)*-2)\/sqrt(5) - sqrt(100)\/sqrt(2)*6)\/(sqrt(50)\/(sqrt(25)\/sqrt(5))*4).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 244?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1017*o - 6792 = -12516 - 10548 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*k + 6403 + 2534 + 4309 = -1298 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3985, 5135, 8247, 14299, 24269, 39135, 59875, 87467?\nAnswer: 122889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-30)*((-5)\/(-1) - 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqrqqffrfqqqfqfqqf. Give prob of picking 2 q and 1 r.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10}. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1144\/440)\/(2\/(-10)). Let r = -52 - -27. Let l = r - -12. Do t and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5 = 15. Suppose 3*a = -2*q + 286, 3*q - 495 = -b*a - 68. List the prime factors of q.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 119.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 6:00 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/3))**(-32)\/(m**(1\/4)*m)**(-23))**37)**(-1\/8) assuming m is positive.\nAnswer: m**(-8029\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -50*t**3 + 6*t**2 + 4*t - 3. Let w(d) = -151*d**3 + 16*d**2 + 11*d - 8. Give -8*m(l) + 3*w(l).\nAnswer: -53*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 + 181 + 12*k - 10*k + 73 + 1. What is the units digit of c(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 1. Let j(x) = -2*x - 2432*x**3 + 5*x**4 + 2440*x**3 - 5 + 5*x**2 + x**2. Let w(g) = j(g) + 5*k(g). Factor w(l).\nAnswer: l*(l + 1)**2*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 + 0.0606.\nAnswer: -0.0294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 176541518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuuhhfguuf. Give prob of sequence ug.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/((w**(-14)\/w)\/w*w)*w*w*w*w**(-9\/2))\/(w\/w**(-2\/3)*w**15) assuming w is positive.\nAnswer: w**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10578286.\nAnswer: 2, 5289143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 4 (c) 14 (d) 3 (e) 0.095\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -191 + 193. Suppose -2*g + 268 = m*o, 0 = -g + 3*g - 4*o - 238. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1080702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2 + u**2 + 5*u**2. Let q(i) = i**2 + 11*i + 2. Let b be q(-11). Let z(h) = 2*h + 2 - b + 0. Calculate z(j(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhg when three letters picked without replacement from hgu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 7*x**2 - 3*x**2)*(-3*x + 2*x**3 + 3*x) - 96*x - 14*x**5 + 96*x.\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45331151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1591644 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11809 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (11 - 5 - (-1 - (-5 + 2)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 235911.7?\nAnswer: 235909.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4215526.\nAnswer: 2, 7, 353, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t, -2*v + 4588 = -2*t + 4624 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/75)\/(245\/1484*(-180)\/(-225))?\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 12:55 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 - -90. Which is the nearest to l? (a) 0.1 (b) -0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1289137 is divided by 41.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -4245 - -5138. What is the greatest common factor of 235 and w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, 3\/2, 50\/13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 164, -658 in decreasing order.\nAnswer: 164, 3, -658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2154542 (base 9) in base 6?\nAnswer: -40453315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {v: 7, p: 3, e: 2, g: 8}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 10*h + 136. Let s(m) = 9*m**3 + m**2 - m. What is the smallest common multiple of u(-13) and s(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1888476 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -86481\/22888 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15\/5 + (46 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -297*l + 301*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 7021347172 and 100.\nAnswer: 7021347272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38624 is divided by 136?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10201\/6 + 1728. Let t = f + -28. Sort -0.2, 3, t in decreasing order.\nAnswer: 3, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 88 = -2*z. Suppose 3*n + 0*n = 231. Let b = n + z. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 439923112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 5*s = -21. Let m(i) = -i**2 - 5*i + 7. What is the remainder when m(-5) is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2. Let g(j) = -370*j**2 + 7. What is i(g(o))?\nAnswer: -136900*o**4 + 5180*o**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 9. What is the common denominator of ((-75)\/8)\/(h\/24) and 75\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -741 + 741 + 62*w**2.\nAnswer: 62*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 372868.9cm to micrometers.\nAnswer: 3728689000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28\/61 - -374\/549. Let l be 1*(8\/(-9) + 1). What is the second smallest value in l, k, 2.8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64703800 rounded to the nearest 1000000?\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112711401?\nAnswer: 3, 11, 19, 59921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z + 94. Let u be m(12). Let f(n) = -9*n**3 + 5*n + 5. Let j(y) = 5*y**3 - 2*y - 2. What is u*f(i) - 5*j(i)?\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 181, 377, 575, 775, 977, 1181, 1387?\n\"Answer: y**2 + 193*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**1)*v)\/((v**(1\/5)\/v)\/v))\/(v**(2\/17)\/v*v**(-17)\/v))**(-43) assuming v is positive.\nAnswer: v**(-82904\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8) - ((-315)\/10)\/21) + 19.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -210499*n + 14*n**2 - 17*n**3 + 210498*n - 1 - 42*n**2 as q + b*n + l*n**2 + j*n**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g + 6. Let m(d) = -5*d - 11. Let y(t) = -7*h(t) - 4*m(t). Let f(p) = p - 1. Suppose -5 = 5*j + 5. Let l = -1 - 2. Determine j*y(z) + l*f(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36242*a**6 + 36186*a**6 + 2927*a**2 + 1178*a**5 - 1195*a**5 wrt a?\nAnswer: -6720*a**3 - 1020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49138 and 15550?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -827 = -5*p - 132. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (123 - 126) + 1 + (-1 - 2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**2 - 990*r - 47200 = 0. What is r?\nAnswer: -118, -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 237389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Suppose -v*i = -6 - 6. Suppose 3*w + 51 = i*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = -3*g - 4*i + 442, 0 = 2*g + 276*i - 951*i + 17540 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01151 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 286469009 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5998 (base 16) to base 6\nAnswer: 254104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4660064.\nAnswer: 2, 107, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c. Let g(u) = u**2 + 3*u - 5. Let i(m) = 45*m**2 + 18*m - 29. Let r(v) = -6*g(v) + i(v). Determine r(p(z)).\nAnswer: 39*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -1) + -10 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and (6\/(-4))\/((9\/6)\/(-3)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p**2 - 6*p - 8. Let g = -25360 - -25358. Calculate j(g).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2 - 242*o - 1160 = 0. What is o?\nAnswer: -116, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1120 divided by -560.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2881.9727 to one dp.\nAnswer: -2882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 164*b**3 + 4*b**2 - 4*b - 89. Let n(w) = -w**3 - w**2 + w + 1. Let q(d) = -c(d) - 4*n(d). Differentiate q(k) wrt k.\nAnswer: -480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-10)*2 + 70\/(-25). Suppose -4*z = -z - 12. Which is the second smallest value? (a) z (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/24 and -62\/30213.\nAnswer: 241704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3856548*b**3 + 3548447*b**2 wrt b.\nAnswer: 23139288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0*p + 9. Suppose -2*b + 30 = 3*b - 2*v, p*b = -4*v + 18. Suppose 6 = b*g - 4*g. What is the greatest common factor of 12 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as -22.846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 9, 11, 8 in descending order.\nAnswer: 11, 9, 8, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, d: 6, w: 4, e: 3, t: 1, r: 1}. What is prob of picking 1 d and 3 e?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62044303 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*i + 4920 = -40*i - 74*i - 5750 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16762 = -752*v + 259*v for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120\/11 - 8 - (-6)\/33 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/7 - 310696*v**2\/7.\nAnswer: 2*v**2*(v - 155348)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**4\/2 + 15*d**3\/2 + 15*d**2\/2 - 15*d\/2 - 9 = 0?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - -2.7. Suppose 68 = 2*w + 62. Suppose -j = 2*m + 7 - 10, -4*m + w = 5*j. Which is the second smallest value? (a) m (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.5 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 286. Let b = c + 448. Calculate the least common multiple of b and 24.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 309015006 = 3*d, 20*d - 412020043 = 16*d + 5*p. Let k be (1\/(-1))\/9 + d\/63. Round k to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5346 and 1782?\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96204 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49169 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5\/h*h*h*h*h\/(h*h\/(h\/(h\/(h*h*h\/h**(-6)*h*h))))*h*(((h*h*h**(3\/5))\/h)\/h*h)\/h**(-1) assuming h is positive.\nAnswer: h**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22701734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 11:03 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 3*i. Let y be x(2). Suppose -27*q = -29*q + 84. Let w be (-24)\/q + 117\/21. Sort 6, w, y.\nAnswer: y, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -610, -2378, -5298, -9370, -14594, -20970?\nAnswer: -28498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -1 + 5. Let x be 14\/(-4)*c + -1. Suppose -n = -3*n - 5*i + 16, 2*n - i - 4 = 0. Solve k = 5*u + n*k + 15, -2*u + 5*k - x = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 12, -7*k + 3*k - 48 = 4*h. What is the common denominator of ((-174)\/k)\/(15 - 13) and 21\/(-30) + 2\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**4\/4 + 5*o**3\/3 + 24*o**2 - 252*o + 152. Factor b(j).\nAnswer: -(j - 6)**2*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815\/8 smaller than 103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 0*z**2 + 4 + 0 + z**2 - 5*z. Suppose 93*l - 233 = 139. Calculate x(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r + 2. Let t(j) = -2*j + 12. Let v(k) = 10*i(k) - t(k). Let m(y) = -5*y**2. Give m(v(z)).\nAnswer: -19220*z**2 - 4960*z - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/2*8\/(-6). Let s = k - -3. Suppose 3*g - 34 = g + 3*m, 2*g + m - 26 = 0. What is the greatest common factor of s and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:39 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/67, 8\/19, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2)*2730\/20. What are the prime factors of (4\/(12\/j))\/(-1 + 2)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 635200*w**5 - 373401*w wrt w.\nAnswer: 12704000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 - 29*q**2 + 6*q**2 + 13*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-14)*(-87906)\/376740.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135571?\nAnswer: 135571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109.192 - 7.\nAnswer: -116.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32500 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 - 7*g - 7. Let z(k) be the second derivative of -k**4\/4 - 2*k**3\/3 - 2*k**2 + 120*k. Give -4*d(f) + 7*z(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 - 210*h**3 + 876*h**2 - 888*h.\nAnswer: -3*h*(h - 2)**2*(h + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.482 + 1.482. What is the nearest to 0.1 in -98, 2, h, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 19 - 73. Let h(w) = -2*w**3 + 18*w**2 + 3*w - 20. Let z be h(j). Let b be ((-1074)\/(-9))\/(z\/(-105)). Round b to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 9:50 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*k = 4*f + 106, 4*f - 5*k = -182. Is f\/(-32) - 71\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 12*n + 264. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 1660*n**2 - 12915*n + 14580.\nAnswer: -5*(n - 1)*(n + 9)*(n + 324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51 + 5*x**3 - 13*x**3 + 5*x**2 + 180*x**6 - 19*x**6 + 5*x**3 wrt x?\nAnswer: 19320*x**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -13. Suppose 0 = l*z + 2*f - 6, 4*z + 2*f - 18 = -z. Solve -1 = -t - z*y + 2, 3*t + 3*y = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*i**3 + 72*i**3 + 17 - 37*i**3 + i + 1 to the form f*i + v*i**3 + j*i**2 + q and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -1*sqrt(405))*-2 + (1 + sqrt(405) + -4 - sqrt(405) - (sqrt(405) - -4*(sqrt(405) + 1))))**2.\nAnswer: -162*sqrt(5) + 3654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2409.85 + 2410. Which is the fifth biggest value? (a) 5 (b) 0 (c) k (d) -2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-24)*(8\/(-783) - 0). Is h greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i - 96 = 0. Is 11 a factor of -2 + 1 + 2 + i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74149\/10 + -24057\/5. Let o = b - 41751\/16. Let t = -7331 + 132071\/18. Calculate the common denominator of o and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 337707 - 337707 + 994*m**2 + 3*m.\nAnswer: 2*m**3 + 994*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -260.264249 and 1.\nAnswer: -260.264249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*v, -2*i - v - 2 = -0. Let f(k) = -9050 + 4427 - 7*k**2 + 4624 - k. Calculate f(i).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -269*v - 1773. What is the thousands digit of i(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009709612034 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 10*y + 43 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/18 - (-4)\/6. Let a(c) = 2*c**2 - 4*c + 4. What is the tens digit of a(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1179 divided by -17\nAnswer: -1179\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -47630218459 and 13019.\nAnswer: -47630205440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1268*n - 398*n - 56 + 56 to g*n + w and give g.\nAnswer: -1666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67918049*d**2 - 274678580 wrt d.\nAnswer: -135836098*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 23*k - 3. What is d(12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 5*i**2 - 3*i + 7. Let n be v(5). Let h(s) = s - 4*s**2 - 7 + 9*s + s**3 + 14*s**2. Calculate the remainder when h(n) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 81?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 163663 + 142337 = 0. What is x rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 11:25 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 13*c**3 + 18*c**2 - 4*c + 5. Does 12 divide k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 7) + -6 + 4 - (9 - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13213201 (base 5) to base 15.\nAnswer: -29301","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 107*n. Let u(a) = -3759*a. Give u(v(z)).\nAnswer: -402213*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7563, -60447, -203977, -483477, -944271, -1631683, -2591037?\n\"Answer: -7554*r**3 + r**2 - 9*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + c. Let j(f) = f**2 + 2*f**2 + 200*f - 202*f. Let t = -16 - -11. Calculate t*a(p) - 3*j(p).\nAnswer: p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 9 in decreasing order.\nAnswer: 9, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a. Let f(v) = -5 - 129*v + 254*v - 130*v. Let q(r) = -f(r) + 2*h(r). Calculate q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00961427827 rounded to four decimal places?\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2344 divided by 2.\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydddddydddddd. What is prob of sequence yy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b + 2. Let n be a(-5). Suppose -2*s = s - n. Suppose 13 = s*x + 5*p, 2*x - 2*p + 0 = 2. Solve 0 = o + x*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 3*h - 26, -3*m - 3*h + 1679 - 1667 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -40178 + 6?\nAnswer: -40172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-21)*b*b\/(b**(-29)\/b))**(3\/2) assuming b is positive.\nAnswer: b**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15d3 (base 14) in base 9?\nAnswer: -5323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 70.7 from -499.\nAnswer: -569.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2.3*0.2\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*v**4*y - 166*v**3 - 165*v**2 - 16*v*y - v - 705*y + 169 wrt v?\nAnswer: -48*v**2*y - 996*v - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -985 + 487 + 498 + 4*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l + 5*l - 28*l**2 - 22*l**2 in the form g + h*l**2 + q*l and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-430)\/15)\/(1\/(-3)). Suppose 0 = t + t - v. Calculate the remainder when t is divided by 1*1\/(-1)*-15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 726360?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -75 (b) 1 (c) -0.2 (d) -4\/3 (e) -5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*d - 6344 = -6146 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -11*l. Give k(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37637 is divided by 180.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 424439927 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6cad71 + -18?\nAnswer: -6cad89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 308226 less than -1041981?\nAnswer: -1350207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/15 - 8\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.33 - -0.33092. What is x rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*q**2 - 17*q**5 + 71*q**2 + q**5 - 6*q**5 + 3*q**5 - q**5 - 4*q**5 + 4*q**5 + 1 - 2*q**5 - 1 + (q**5 - 2*q**5 + 2*q**5)*(-6 + 1 + 3) + 2 - 2 - 2*q**5.\nAnswer: -26*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + (sqrt(1088) + (-1 + sqrt(1088))*1 - ((sqrt(1088) + sqrt(1088) + sqrt(1088) + -1)*3 - sqrt(1088)))*-5))**2.\nAnswer: -180000*sqrt(17) + 24485625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.20703864 + 2.207. Round t to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96883 or 283.3?\nAnswer: 96883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*a - 6*a. Suppose i - 3*i = 3*z - 191, 5*i - 315 = -a*z. What is the remainder when z is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {s: 8, e: 1, l: 5, y: 2}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 5*b - 24 = 0, h - b = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.68 - 0.02. Let x = g + 3. Let k = -54\/1799 - 7034\/5397. Put -2, k, x in descending order.\nAnswer: x, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = 0, -3*i + 16*s + 2077 = 14*s. What are the prime factors of i?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (95\/20)\/(-19)*8. Let i = 13 - 11. Let t = 16 - 11. What is the nearest to i in t, 1\/2, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2921, 5839, 8755, 11669, 14581, 17491?\nAnswer: 20399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -155240 to the nearest 1000.\nAnswer: -155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1404*k**4 - 4*k**3 + 5265*k**2 wrt k.\nAnswer: -33696*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-7)*(-10)\/(-45)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 16*l - 117. Let o be 16\/(-24)*l + -7. Do o and -11\/24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/5 - 208*z**4\/5 - 5706*z**3\/5 - 3060*z**2 = 0. What is z?\nAnswer: -51, -50, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 a factor of 300033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*t + 444 - 48 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1115 - 554. Suppose 0*g - 4*h - 291 = g, -2*g - q = h. Round g to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 + 0 + 6)*4\/(-32) - 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660844?\nAnswer: 2, 165211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - 0 - -3 - 315\/(-3). Let p = k - 83. Solve 2*w = -3*b + 10 + 1, 4*w - p = -3*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 - 9)*(-4)\/(-3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 129676847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 18*l**4 + 30*l**3 - 114*l**2 - 201*l - 90. Let g(f) = -f**4 - 3*f**3 - f**2. Let p(q) = -d(q) - 15*g(q). Factor p(c).\nAnswer: -3*(c - 10)*(c + 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -8 - 12, -5*d = 5*a - 45. Suppose 5*o - 4*w - 58 = -8*w, a*o = 4*w + 32. Solve -5*g + 3*u - 10 = 0, -g = 4*g + u - o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1852*o - 2679 = 1389 - 364 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*-2)**2*6 - (sqrt(275) + 0 + 0)**2)*1.\nAnswer: 6325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875 + 896 = -7*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 6:25 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -12031232?\nAnswer: 12031301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -49.9 times -0.12\nAnswer: 5.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (4 - (0 + 11))) + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Suppose -3*w = -o*u - 78, 92 = 5*w + 4*u - 38. Suppose 2*f + 0*f = 2*z - w, 5*z + f = 53. What is the greatest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1668 - -1174.2. Let l = -391 - x. Let k = -119 + l. What is k rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*i = 2*v + 4, 4*v = -5*i + 33 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g - 14*g + 4*g + 15*g.\nAnswer: 37*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110 + -106. Find y, given that -24*y**2 - 10 - 24*y**w + 4*y**3 + 51*y**4 + 28*y - 25*y**4 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*b - 132*b + 236*b.\nAnswer: -31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**3 - 20*c**2 + 192*c + 4. Let x(r) = -6*r**3 - 17*r**2 + 194*r + 3. Calculate -5*f(t) + 6*x(t).\nAnswer: -t**3 - 2*t**2 + 204*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 24877915129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}